%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT020-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 11:42:50 AM UTC 2026
% Result : Unsatisfiable 29.77s 4.77s
% Output : CNFRefutation 33.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 92
% Number of leaves : 10
% Syntax : Number of clauses : 824 ( 824 unt; 0 nHn; 4 RR)
% Number of literals : 824 ( 823 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 2284 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
cnf(c2,axiom,
join(X,Y) = join(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
cnf(c3,plain,
join(meet(X4,X2),meet(X4,X3)) = join(meet(X4,X3),meet(X4,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
join(meet(X4,X3),meet(X4,X2)) = join(meet(X4,X2),meet(X4,X3)),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
meet(X2,Y2) = meet(Y2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
cnf(c6,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
join(X3,meet(X2,X4)) = join(X3,meet(X4,X2)),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,plain,
meet(X4,join(X3,meet(X2,X4))) = meet(X4,join(X3,meet(X4,X2))),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,plain,
join(X2,meet(X4,X3)) = join(meet(X4,X3),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c11,plain,
join(meet(X4,X3),X2) = join(X2,meet(X4,X3)),
inference(symmetry,[status(thm)],[c10]) ).
cnf(c12,plain,
meet(X4,join(meet(X4,X3),X2)) = meet(X4,join(X2,meet(X4,X3))),
inference(congruence,[status(thm)],[c11]) ).
cnf(c13,plain,
join(meet(X4,X3),meet(X4,join(meet(X4,X3),X2))) = join(meet(X4,X3),meet(X4,join(X2,meet(X4,X3)))),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,plain,
join(meet(X4,X3),X2) = join(X2,meet(X4,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c15,plain,
join(X2,meet(X4,X3)) = join(meet(X4,X3),X2),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c16,plain,
meet(X4,join(X2,meet(X4,X3))) = meet(X4,join(meet(X4,X3),X2)),
inference(congruence,[status(thm)],[c15]) ).
cnf(c17,plain,
join(meet(X4,X3),meet(X4,join(X2,meet(X4,X3)))) = join(meet(X4,X3),meet(X4,join(meet(X4,X3),X2))),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,axiom,
meet(meet(X2,Y2),Z) = meet(X2,meet(Y2,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
cnf(c19,plain,
meet(meet(X3,X3),X2) = meet(X3,meet(X3,X2)),
inference(substitution,[status(thm)],[c18]) ).
cnf(c20,plain,
meet(X3,meet(X3,X2)) = meet(meet(X3,X3),X2),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c21,axiom,
meet(X2,X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c22,plain,
meet(meet(X3,X3),X2) = meet(X3,X2),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,plain,
meet(X3,meet(X3,X2)) = meet(X3,X2),
inference(transitivity,[status(thm)],[c20,c22]) ).
cnf(c24,plain,
meet(X3,X2) = meet(X3,meet(X3,X2)),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
join(meet(X4,X3),meet(X4,join(meet(X4,X3),X2))) = join(meet(X4,meet(X4,X3)),meet(X4,join(meet(X4,X3),X2))),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
join(meet(X4,join(X3,X2)),meet(X4,X3)) = join(meet(X4,X3),meet(X4,join(X3,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c27,plain,
join(meet(X4,X3),meet(X4,join(X3,X2))) = join(meet(X4,join(X3,X2)),meet(X4,X3)),
inference(symmetry,[status(thm)],[c26]) ).
cnf(c28,axiom,
join(meet(X2,join(Y2,Z2)),meet(X2,Y2)) = meet(X2,join(Y2,Z2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quasi_lattice1) ).
cnf(c29,plain,
join(meet(X4,join(X3,X2)),meet(X4,X3)) = meet(X4,join(X3,X2)),
inference(substitution,[status(thm)],[c28]) ).
cnf(c30,plain,
join(meet(X4,X3),meet(X4,join(X3,X2))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c27,c29]) ).
cnf(c31,plain,
join(meet(X4,meet(X4,X3)),meet(X4,join(meet(X4,X3),X2))) = meet(X4,join(meet(X4,X3),X2)),
inference(substitution,[status(thm)],[c30]) ).
cnf(c32,plain,
join(meet(X4,X3),X2) = join(X2,meet(X4,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c33,plain,
meet(X4,join(meet(X4,X3),X2)) = meet(X4,join(X2,meet(X4,X3))),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,plain,
join(meet(X4,meet(X4,X3)),meet(X4,join(meet(X4,X3),X2))) = meet(X4,join(X2,meet(X4,X3))),
inference(transitivity,[status(thm)],[c31,c33]) ).
cnf(c35,plain,
join(meet(X4,X3),meet(X4,join(meet(X4,X3),X2))) = meet(X4,join(X2,meet(X4,X3))),
inference(transitivity,[status(thm)],[c25,c34]) ).
cnf(c36,plain,
join(meet(X4,X3),meet(X4,join(X2,meet(X4,X3)))) = meet(X4,join(X2,meet(X4,X3))),
inference(transitivity,[status(thm)],[c17,c35]) ).
cnf(c37,plain,
join(meet(X4,X3),meet(X4,join(meet(X4,X3),X2))) = meet(X4,join(X2,meet(X4,X3))),
inference(transitivity,[status(thm)],[c13,c36]) ).
cnf(c38,plain,
join(meet(X4,X2),meet(X4,join(meet(X4,X2),X3))) = meet(X4,join(X3,meet(X4,X2))),
inference(substitution,[status(thm)],[c37]) ).
cnf(c39,plain,
meet(X4,join(X3,meet(X4,X2))) = join(meet(X4,X2),meet(X4,join(meet(X4,X2),X3))),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c40,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c41,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c40]) ).
cnf(c42,plain,
meet(X2,join(X3,X4)) = meet(X2,join(X4,X3)),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,plain,
join(X4,meet(X2,join(X3,X4))) = join(X4,meet(X2,join(X4,X3))),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,plain,
meet(join(X4,X2),join(X4,X3)) = meet(join(X4,X3),join(X4,X2)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c45,plain,
meet(join(X4,X3),join(X4,X2)) = meet(join(X4,X2),join(X4,X3)),
inference(symmetry,[status(thm)],[c44]) ).
cnf(c46,axiom,
join(join(X2,Y2),Z2) = join(X2,join(Y2,Z2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
cnf(c47,plain,
join(join(X3,X3),X2) = join(X3,join(X3,X2)),
inference(substitution,[status(thm)],[c46]) ).
cnf(c48,plain,
join(X3,join(X3,X2)) = join(join(X3,X3),X2),
inference(symmetry,[status(thm)],[c47]) ).
cnf(c49,axiom,
join(X2,X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c50,plain,
join(join(X3,X3),X2) = join(X3,X2),
inference(congruence,[status(thm)],[c49]) ).
cnf(c51,plain,
join(X3,join(X3,X2)) = join(X3,X2),
inference(transitivity,[status(thm)],[c48,c50]) ).
cnf(c52,plain,
join(X3,X2) = join(X3,join(X3,X2)),
inference(symmetry,[status(thm)],[c51]) ).
cnf(c53,plain,
meet(join(X4,X3),join(X4,X2)) = meet(join(X4,join(X4,X3)),join(X4,X2)),
inference(congruence,[status(thm)],[c52]) ).
cnf(c54,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c55,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c54]) ).
cnf(c56,plain,
join(X2,meet(X4,X3)) = join(X2,meet(X3,X4)),
inference(congruence,[status(thm)],[c55]) ).
cnf(c57,plain,
join(X3,join(X2,meet(X4,X3))) = join(X3,join(X2,meet(X3,X4))),
inference(congruence,[status(thm)],[c56]) ).
cnf(c58,plain,
meet(X4,join(X3,join(X2,meet(X4,X3)))) = meet(X4,join(X3,join(X2,meet(X3,X4)))),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c5]) ).
cnf(c60,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c59]) ).
cnf(c61,plain,
meet(X3,meet(X2,X3)) = meet(X3,meet(X3,X2)),
inference(congruence,[status(thm)],[c60]) ).
cnf(c62,plain,
meet(X3,meet(X2,X3)) = meet(X3,X2),
inference(transitivity,[status(thm)],[c61,c23]) ).
cnf(c63,plain,
meet(X2,meet(X3,X2)) = meet(X2,X3),
inference(substitution,[status(thm)],[c62]) ).
cnf(c64,plain,
meet(X2,X3) = meet(X2,meet(X3,X2)),
inference(symmetry,[status(thm)],[c63]) ).
cnf(c65,plain,
join(X2,meet(X3,X4)) = join(X2,meet(X3,meet(X4,X3))),
inference(congruence,[status(thm)],[c64]) ).
cnf(c66,plain,
join(X3,join(X2,meet(X3,X4))) = join(X3,join(X2,meet(X3,meet(X4,X3)))),
inference(congruence,[status(thm)],[c65]) ).
cnf(c67,plain,
meet(X4,join(X3,join(X2,meet(X3,X4)))) = meet(X4,join(X3,join(X2,meet(X3,meet(X4,X3))))),
inference(congruence,[status(thm)],[c66]) ).
cnf(c68,plain,
join(join(X4,X3),meet(X2,join(X4,X3))) = join(X4,join(X3,meet(X2,join(X4,X3)))),
inference(substitution,[status(thm)],[c46]) ).
cnf(c69,plain,
join(X4,join(X3,meet(X2,join(X4,X3)))) = join(join(X4,X3),meet(X2,join(X4,X3))),
inference(symmetry,[status(thm)],[c68]) ).
cnf(c70,plain,
meet(X4,join(X3,X2)) = meet(join(X3,X2),X4),
inference(substitution,[status(thm)],[c5]) ).
cnf(c71,plain,
meet(join(X3,X2),X4) = meet(X4,join(X3,X2)),
inference(symmetry,[status(thm)],[c70]) ).
cnf(c72,plain,
join(meet(X4,X3),meet(join(X3,X2),X4)) = join(meet(X4,X3),meet(X4,join(X3,X2))),
inference(congruence,[status(thm)],[c71]) ).
cnf(c73,plain,
join(meet(X4,X3),meet(join(X3,X2),X4)) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c72,c30]) ).
cnf(c74,plain,
join(meet(X2,X4),meet(join(X4,X3),X2)) = meet(X2,join(X4,X3)),
inference(substitution,[status(thm)],[c73]) ).
cnf(c75,plain,
meet(X2,join(X4,X3)) = join(meet(X2,X4),meet(join(X4,X3),X2)),
inference(symmetry,[status(thm)],[c74]) ).
cnf(c76,plain,
join(join(X4,X3),meet(X2,join(X4,X3))) = join(join(X4,X3),join(meet(X2,X4),meet(join(X4,X3),X2))),
inference(congruence,[status(thm)],[c75]) ).
cnf(c77,plain,
join(meet(X4,X3),meet(X3,X2)) = join(meet(X3,X2),meet(X4,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c78,plain,
join(meet(X3,X2),meet(X4,X3)) = join(meet(X4,X3),meet(X3,X2)),
inference(symmetry,[status(thm)],[c77]) ).
cnf(c79,plain,
join(X4,join(meet(X3,X2),meet(X4,X3))) = join(X4,join(meet(X4,X3),meet(X3,X2))),
inference(congruence,[status(thm)],[c78]) ).
cnf(c80,plain,
join(X4,join(X4,join(meet(X4,X3),meet(X3,X2)))) = join(X4,join(meet(X4,X3),meet(X3,X2))),
inference(substitution,[status(thm)],[c51]) ).
cnf(c81,plain,
join(X4,join(meet(X4,X3),meet(X3,X2))) = join(X4,join(X4,join(meet(X4,X3),meet(X3,X2)))),
inference(symmetry,[status(thm)],[c80]) ).
cnf(c82,plain,
join(join(X4,meet(X4,X3)),meet(X3,X2)) = join(X4,join(meet(X4,X3),meet(X3,X2))),
inference(substitution,[status(thm)],[c46]) ).
cnf(c83,plain,
join(X4,join(meet(X4,X3),meet(X3,X2))) = join(join(X4,meet(X4,X3)),meet(X3,X2)),
inference(symmetry,[status(thm)],[c82]) ).
cnf(c84,plain,
join(X4,join(X4,join(meet(X4,X3),meet(X3,X2)))) = join(X4,join(join(X4,meet(X4,X3)),meet(X3,X2))),
inference(congruence,[status(thm)],[c83]) ).
cnf(c85,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c86,plain,
join(X3,X2) = join(X2,X3),
inference(symmetry,[status(thm)],[c85]) ).
cnf(c87,plain,
meet(X3,join(X3,X2)) = meet(X3,join(X2,X3)),
inference(congruence,[status(thm)],[c86]) ).
cnf(c88,plain,
X2 = meet(X2,X2),
inference(symmetry,[status(thm)],[c21]) ).
cnf(c89,plain,
join(X2,X3) = join(X2,meet(X3,X3)),
inference(congruence,[status(thm)],[c88]) ).
cnf(c90,plain,
meet(X3,join(X2,X3)) = meet(X3,join(X2,meet(X3,X3))),
inference(congruence,[status(thm)],[c89]) ).
cnf(c91,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c92,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c91]) ).
cnf(c93,plain,
join(meet(X4,X3),meet(X3,join(X2,X4))) = join(meet(X3,X4),meet(X3,join(X2,X4))),
inference(congruence,[status(thm)],[c92]) ).
cnf(c94,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c95,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c94]) ).
cnf(c96,plain,
meet(X4,join(X2,X3)) = meet(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c95]) ).
cnf(c97,plain,
join(meet(X4,X3),meet(X4,join(X2,X3))) = join(meet(X4,X3),meet(X4,join(X3,X2))),
inference(congruence,[status(thm)],[c96]) ).
cnf(c98,plain,
join(meet(X4,X3),meet(X4,join(X2,X3))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c97,c30]) ).
cnf(c99,plain,
join(meet(X3,X4),meet(X3,join(X2,X4))) = meet(X3,join(X4,X2)),
inference(substitution,[status(thm)],[c98]) ).
cnf(c100,plain,
join(meet(X4,X3),meet(X3,join(X2,X4))) = meet(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c93,c99]) ).
cnf(c101,plain,
join(meet(X2,X3),meet(X3,join(meet(X3,X3),X2))) = meet(X3,join(X2,meet(X3,X3))),
inference(substitution,[status(thm)],[c100]) ).
cnf(c102,plain,
meet(X3,join(X2,meet(X3,X3))) = join(meet(X2,X3),meet(X3,join(meet(X3,X3),X2))),
inference(symmetry,[status(thm)],[c101]) ).
cnf(c103,plain,
join(meet(join(X3,X2),X4),X2) = join(X2,meet(join(X3,X2),X4)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c104,plain,
join(X2,meet(join(X3,X2),X4)) = join(meet(join(X3,X2),X4),X2),
inference(symmetry,[status(thm)],[c103]) ).
cnf(c105,plain,
meet(join(X4,X3),join(X2,meet(join(X3,X2),X4))) = meet(join(X4,X3),join(meet(join(X3,X2),X4),X2)),
inference(congruence,[status(thm)],[c104]) ).
cnf(c106,plain,
meet(join(meet(join(X3,X2),X4),X2),join(X4,X3)) = meet(join(X4,X3),join(meet(join(X3,X2),X4),X2)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c107,plain,
meet(join(X4,X3),join(meet(join(X3,X2),X4),X2)) = meet(join(meet(join(X3,X2),X4),X2),join(X4,X3)),
inference(symmetry,[status(thm)],[c106]) ).
cnf(c108,hypothesis,
join(meet(join(meet(X2,Y2),Z2),Y2),meet(Z2,X2)) = meet(join(meet(join(X2,Y2),Z2),Y2),join(Z2,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',self_dual_distributivity) ).
cnf(c109,plain,
join(meet(join(meet(X3,X2),X4),X2),meet(X4,X3)) = meet(join(meet(join(X3,X2),X4),X2),join(X4,X3)),
inference(substitution,[status(thm)],[c108]) ).
cnf(c110,plain,
meet(join(meet(join(X3,X2),X4),X2),join(X4,X3)) = join(meet(join(meet(X3,X2),X4),X2),meet(X4,X3)),
inference(symmetry,[status(thm)],[c109]) ).
cnf(c111,plain,
join(meet(join(meet(X3,X2),X4),X2),meet(X4,X3)) = join(meet(X4,X3),meet(join(meet(X3,X2),X4),X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c112,plain,
meet(join(meet(X3,X2),X4),X2) = meet(X2,join(meet(X3,X2),X4)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c113,plain,
join(meet(X4,X3),meet(join(meet(X3,X2),X4),X2)) = join(meet(X4,X3),meet(X2,join(meet(X3,X2),X4))),
inference(congruence,[status(thm)],[c112]) ).
cnf(c114,plain,
join(meet(join(meet(X3,X2),X4),X2),meet(X4,X3)) = join(meet(X4,X3),meet(X2,join(meet(X3,X2),X4))),
inference(transitivity,[status(thm)],[c111,c113]) ).
cnf(c115,plain,
meet(join(meet(join(X3,X2),X4),X2),join(X4,X3)) = join(meet(X4,X3),meet(X2,join(meet(X3,X2),X4))),
inference(transitivity,[status(thm)],[c110,c114]) ).
cnf(c116,plain,
meet(join(X4,X3),join(meet(join(X3,X2),X4),X2)) = join(meet(X4,X3),meet(X2,join(meet(X3,X2),X4))),
inference(transitivity,[status(thm)],[c107,c115]) ).
cnf(c117,plain,
meet(join(X4,X3),join(X2,meet(join(X3,X2),X4))) = join(meet(X4,X3),meet(X2,join(meet(X3,X2),X4))),
inference(transitivity,[status(thm)],[c105,c116]) ).
cnf(c118,plain,
meet(join(X2,X3),join(X3,meet(join(X3,X3),X2))) = join(meet(X2,X3),meet(X3,join(meet(X3,X3),X2))),
inference(substitution,[status(thm)],[c117]) ).
cnf(c119,plain,
join(meet(X2,X3),meet(X3,join(meet(X3,X3),X2))) = meet(join(X2,X3),join(X3,meet(join(X3,X3),X2))),
inference(symmetry,[status(thm)],[c118]) ).
cnf(c120,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c5]) ).
cnf(c121,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c120]) ).
cnf(c122,plain,
join(X3,meet(X2,X4)) = join(X3,meet(X4,X2)),
inference(congruence,[status(thm)],[c121]) ).
cnf(c123,plain,
meet(join(X4,X3),join(X3,meet(X2,X4))) = meet(join(X4,X3),join(X3,meet(X4,X2))),
inference(congruence,[status(thm)],[c122]) ).
cnf(c124,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c125,plain,
join(X3,X2) = join(X2,X3),
inference(symmetry,[status(thm)],[c124]) ).
cnf(c126,plain,
meet(join(X4,X3),join(X3,meet(X4,X2))) = meet(join(X3,X4),join(X3,meet(X4,X2))),
inference(congruence,[status(thm)],[c125]) ).
cnf(c127,plain,
meet(join(X4,meet(X3,X2)),join(X4,X3)) = meet(join(X4,X3),join(X4,meet(X3,X2))),
inference(substitution,[status(thm)],[c5]) ).
cnf(c128,plain,
meet(join(X4,X3),join(X4,meet(X3,X2))) = meet(join(X4,meet(X3,X2)),join(X4,X3)),
inference(symmetry,[status(thm)],[c127]) ).
cnf(c129,axiom,
meet(join(X2,meet(Y2,Z2)),join(X2,Y2)) = join(X2,meet(Y2,Z2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quasi_lattice2) ).
cnf(c130,plain,
meet(join(X4,meet(X3,X2)),join(X4,X3)) = join(X4,meet(X3,X2)),
inference(substitution,[status(thm)],[c129]) ).
cnf(c131,plain,
meet(join(X4,X3),join(X4,meet(X3,X2))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c128,c130]) ).
cnf(c132,plain,
meet(join(X3,X4),join(X3,meet(X4,X2))) = join(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c131]) ).
cnf(c133,plain,
meet(join(X4,X3),join(X3,meet(X4,X2))) = join(X3,meet(X4,X2)),
inference(transitivity,[status(thm)],[c126,c132]) ).
cnf(c134,plain,
meet(join(X4,X3),join(X3,meet(X2,X4))) = join(X3,meet(X4,X2)),
inference(transitivity,[status(thm)],[c123,c133]) ).
cnf(c135,plain,
meet(join(X2,X3),join(X3,meet(join(X3,X3),X2))) = join(X3,meet(X2,join(X3,X3))),
inference(substitution,[status(thm)],[c134]) ).
cnf(c136,plain,
meet(X2,join(X3,X3)) = meet(X2,X3),
inference(congruence,[status(thm)],[c49]) ).
cnf(c137,plain,
join(X3,meet(X2,join(X3,X3))) = join(X3,meet(X2,X3)),
inference(congruence,[status(thm)],[c136]) ).
cnf(c138,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c139,plain,
join(X3,meet(X2,X3)) = join(X3,meet(X3,X2)),
inference(congruence,[status(thm)],[c138]) ).
cnf(c140,plain,
join(X3,meet(X2,join(X3,X3))) = join(X3,meet(X3,X2)),
inference(transitivity,[status(thm)],[c137,c139]) ).
cnf(c141,plain,
meet(join(X2,X3),join(X3,meet(join(X3,X3),X2))) = join(X3,meet(X3,X2)),
inference(transitivity,[status(thm)],[c135,c140]) ).
cnf(c142,plain,
join(meet(X2,X3),meet(X3,join(meet(X3,X3),X2))) = join(X3,meet(X3,X2)),
inference(transitivity,[status(thm)],[c119,c141]) ).
cnf(c143,plain,
meet(X3,join(X2,meet(X3,X3))) = join(X3,meet(X3,X2)),
inference(transitivity,[status(thm)],[c102,c142]) ).
cnf(c144,plain,
meet(X3,join(X2,X3)) = join(X3,meet(X3,X2)),
inference(transitivity,[status(thm)],[c90,c143]) ).
cnf(c145,plain,
meet(X3,join(X3,X2)) = join(X3,meet(X3,X2)),
inference(transitivity,[status(thm)],[c87,c144]) ).
cnf(c146,plain,
join(X3,meet(X3,X2)) = meet(X3,join(X3,X2)),
inference(symmetry,[status(thm)],[c145]) ).
cnf(c147,plain,
join(join(X4,meet(X4,X3)),meet(X3,X2)) = join(meet(X4,join(X4,X3)),meet(X3,X2)),
inference(congruence,[status(thm)],[c146]) ).
cnf(c148,plain,
join(X4,join(join(X4,meet(X4,X3)),meet(X3,X2))) = join(X4,join(meet(X4,join(X4,X3)),meet(X3,X2))),
inference(congruence,[status(thm)],[c147]) ).
cnf(c149,plain,
meet(join(X3,X2),X3) = meet(X3,join(X3,X2)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c150,plain,
meet(X3,join(X3,X2)) = meet(join(X3,X2),X3),
inference(symmetry,[status(thm)],[c149]) ).
cnf(c151,plain,
join(meet(X4,join(X4,X3)),meet(X3,X2)) = join(meet(join(X4,X3),X4),meet(X3,X2)),
inference(congruence,[status(thm)],[c150]) ).
cnf(c152,plain,
join(X4,join(meet(X4,join(X4,X3)),meet(X3,X2))) = join(X4,join(meet(join(X4,X3),X4),meet(X3,X2))),
inference(congruence,[status(thm)],[c151]) ).
cnf(c153,plain,
join(join(X4,X2),X3) = join(X3,join(X4,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c154,plain,
join(X3,join(X4,X2)) = join(join(X4,X2),X3),
inference(symmetry,[status(thm)],[c153]) ).
cnf(c155,plain,
join(join(X4,X2),X3) = join(X4,join(X2,X3)),
inference(substitution,[status(thm)],[c46]) ).
cnf(c156,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c157,plain,
join(X4,join(X2,X3)) = join(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c156]) ).
cnf(c158,plain,
join(join(X4,X2),X3) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c155,c157]) ).
cnf(c159,plain,
join(X3,join(X4,X2)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c154,c158]) ).
cnf(c160,plain,
join(X4,join(meet(join(X4,X3),X4),meet(X3,X2))) = join(meet(join(X4,X3),X4),join(X4,meet(X3,X2))),
inference(substitution,[status(thm)],[c159]) ).
cnf(c161,plain,
join(X4,meet(X3,X2)) = meet(join(X4,X3),join(X4,meet(X3,X2))),
inference(symmetry,[status(thm)],[c131]) ).
cnf(c162,plain,
join(meet(join(X4,X3),X4),join(X4,meet(X3,X2))) = join(meet(join(X4,X3),X4),meet(join(X4,X3),join(X4,meet(X3,X2)))),
inference(congruence,[status(thm)],[c161]) ).
cnf(c163,plain,
join(meet(join(X4,X3),X4),meet(join(X4,X3),join(X4,meet(X3,X2)))) = meet(join(X4,X3),join(X4,meet(X3,X2))),
inference(substitution,[status(thm)],[c30]) ).
cnf(c164,plain,
join(meet(join(X4,X3),X4),meet(join(X4,X3),join(X4,meet(X3,X2)))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c163,c131]) ).
cnf(c165,plain,
join(meet(join(X4,X3),X4),join(X4,meet(X3,X2))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c162,c164]) ).
cnf(c166,plain,
join(X4,join(meet(join(X4,X3),X4),meet(X3,X2))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c160,c165]) ).
cnf(c167,plain,
join(X4,join(meet(X4,join(X4,X3)),meet(X3,X2))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c152,c166]) ).
cnf(c168,plain,
join(X4,join(join(X4,meet(X4,X3)),meet(X3,X2))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c148,c167]) ).
cnf(c169,plain,
join(X4,join(X4,join(meet(X4,X3),meet(X3,X2)))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c84,c168]) ).
cnf(c170,plain,
join(X4,join(meet(X4,X3),meet(X3,X2))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c81,c169]) ).
cnf(c171,plain,
join(X4,join(meet(X3,X2),meet(X4,X3))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c79,c170]) ).
cnf(c172,plain,
join(join(X4,X3),join(meet(X2,X4),meet(join(X4,X3),X2))) = join(join(X4,X3),meet(X2,X4)),
inference(substitution,[status(thm)],[c171]) ).
cnf(c173,plain,
join(join(X4,X3),meet(X2,X4)) = join(X4,join(X3,meet(X2,X4))),
inference(substitution,[status(thm)],[c46]) ).
cnf(c174,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c175,plain,
join(X3,meet(X2,X4)) = join(X3,meet(X4,X2)),
inference(congruence,[status(thm)],[c174]) ).
cnf(c176,plain,
join(X4,join(X3,meet(X2,X4))) = join(X4,join(X3,meet(X4,X2))),
inference(congruence,[status(thm)],[c175]) ).
cnf(c177,plain,
join(join(X4,X3),meet(X2,X4)) = join(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c173,c176]) ).
cnf(c178,plain,
join(join(X4,X3),join(meet(X2,X4),meet(join(X4,X3),X2))) = join(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c172,c177]) ).
cnf(c179,plain,
join(join(X4,X3),meet(X2,join(X4,X3))) = join(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c76,c178]) ).
cnf(c180,plain,
join(X4,join(X3,meet(X2,join(X4,X3)))) = join(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c69,c179]) ).
cnf(c181,plain,
join(X3,join(X2,meet(meet(X4,X3),join(X3,X2)))) = join(X3,join(X2,meet(X3,meet(X4,X3)))),
inference(substitution,[status(thm)],[c180]) ).
cnf(c182,plain,
join(X3,join(X2,meet(X3,meet(X4,X3)))) = join(X3,join(X2,meet(meet(X4,X3),join(X3,X2)))),
inference(symmetry,[status(thm)],[c181]) ).
cnf(c183,plain,
meet(X4,join(X3,join(X2,meet(X3,meet(X4,X3))))) = meet(X4,join(X3,join(X2,meet(meet(X4,X3),join(X3,X2))))),
inference(congruence,[status(thm)],[c182]) ).
cnf(c184,plain,
join(join(X3,X2),meet(meet(X4,X3),join(X3,X2))) = join(X3,join(X2,meet(meet(X4,X3),join(X3,X2)))),
inference(substitution,[status(thm)],[c46]) ).
cnf(c185,plain,
join(X3,join(X2,meet(meet(X4,X3),join(X3,X2)))) = join(join(X3,X2),meet(meet(X4,X3),join(X3,X2))),
inference(symmetry,[status(thm)],[c184]) ).
cnf(c186,plain,
meet(X4,join(X3,join(X2,meet(meet(X4,X3),join(X3,X2))))) = meet(X4,join(join(X3,X2),meet(meet(X4,X3),join(X3,X2)))),
inference(congruence,[status(thm)],[c185]) ).
cnf(c187,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c188,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c187]) ).
cnf(c189,plain,
join(X2,meet(X4,X3)) = join(X2,meet(X3,X4)),
inference(congruence,[status(thm)],[c188]) ).
cnf(c190,plain,
meet(X3,join(X2,meet(X4,X3))) = meet(X3,join(X2,meet(X3,X4))),
inference(congruence,[status(thm)],[c189]) ).
cnf(c191,plain,
meet(X4,meet(X3,join(X2,meet(X4,X3)))) = meet(X4,meet(X3,join(X2,meet(X3,X4)))),
inference(congruence,[status(thm)],[c190]) ).
cnf(c192,plain,
meet(meet(X3,X2),X4) = meet(X4,meet(X3,X2)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c193,plain,
meet(X4,meet(X3,X2)) = meet(meet(X3,X2),X4),
inference(symmetry,[status(thm)],[c192]) ).
cnf(c194,plain,
meet(meet(X3,X2),X4) = meet(X3,meet(X2,X4)),
inference(substitution,[status(thm)],[c18]) ).
cnf(c195,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c196,plain,
meet(X3,meet(X2,X4)) = meet(X3,meet(X4,X2)),
inference(congruence,[status(thm)],[c195]) ).
cnf(c197,plain,
meet(meet(X3,X2),X4) = meet(X3,meet(X4,X2)),
inference(transitivity,[status(thm)],[c194,c196]) ).
cnf(c198,plain,
meet(X4,meet(X3,X2)) = meet(X3,meet(X4,X2)),
inference(transitivity,[status(thm)],[c193,c197]) ).
cnf(c199,plain,
meet(X3,meet(X4,join(X2,meet(X3,X4)))) = meet(X4,meet(X3,join(X2,meet(X3,X4)))),
inference(substitution,[status(thm)],[c198]) ).
cnf(c200,plain,
meet(X4,meet(X3,join(X2,meet(X3,X4)))) = meet(X3,meet(X4,join(X2,meet(X3,X4)))),
inference(symmetry,[status(thm)],[c199]) ).
cnf(c201,plain,
meet(meet(X3,X4),join(X2,meet(X3,X4))) = meet(X3,meet(X4,join(X2,meet(X3,X4)))),
inference(substitution,[status(thm)],[c18]) ).
cnf(c202,plain,
meet(X3,meet(X4,join(X2,meet(X3,X4)))) = meet(meet(X3,X4),join(X2,meet(X3,X4))),
inference(symmetry,[status(thm)],[c201]) ).
cnf(c203,plain,
join(X4,meet(X3,X2)) = join(meet(X3,X2),X4),
inference(substitution,[status(thm)],[c2]) ).
cnf(c204,plain,
join(meet(X3,X2),X4) = join(X4,meet(X3,X2)),
inference(symmetry,[status(thm)],[c203]) ).
cnf(c205,plain,
meet(join(X4,X3),join(meet(X3,X2),X4)) = meet(join(X4,X3),join(X4,meet(X3,X2))),
inference(congruence,[status(thm)],[c204]) ).
cnf(c206,plain,
meet(join(X4,X3),join(meet(X3,X2),X4)) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c205,c131]) ).
cnf(c207,plain,
meet(join(X2,X3),join(meet(X3,X4),X2)) = join(X2,meet(X3,X4)),
inference(substitution,[status(thm)],[c206]) ).
cnf(c208,plain,
join(X2,meet(X3,X4)) = meet(join(X2,X3),join(meet(X3,X4),X2)),
inference(symmetry,[status(thm)],[c207]) ).
cnf(c209,plain,
meet(meet(X3,X4),join(X2,meet(X3,X4))) = meet(meet(X3,X4),meet(join(X2,X3),join(meet(X3,X4),X2))),
inference(congruence,[status(thm)],[c208]) ).
cnf(c210,plain,
meet(join(X4,X3),join(X3,X2)) = meet(join(X3,X2),join(X4,X3)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c211,plain,
meet(join(X3,X2),join(X4,X3)) = meet(join(X4,X3),join(X3,X2)),
inference(symmetry,[status(thm)],[c210]) ).
cnf(c212,plain,
meet(X4,meet(join(X3,X2),join(X4,X3))) = meet(X4,meet(join(X4,X3),join(X3,X2))),
inference(congruence,[status(thm)],[c211]) ).
cnf(c213,plain,
meet(join(X3,X2),join(X4,X3)) = meet(join(X4,X3),join(X3,X2)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c214,plain,
meet(join(X4,X3),join(X3,X2)) = meet(join(X3,X2),join(X4,X3)),
inference(symmetry,[status(thm)],[c213]) ).
cnf(c215,plain,
meet(X4,meet(join(X4,X3),join(X3,X2))) = meet(X4,meet(join(X3,X2),join(X4,X3))),
inference(congruence,[status(thm)],[c214]) ).
cnf(c216,plain,
meet(X4,meet(X4,meet(join(X3,X2),join(X4,X3)))) = meet(X4,meet(join(X3,X2),join(X4,X3))),
inference(substitution,[status(thm)],[c23]) ).
cnf(c217,plain,
meet(X4,meet(join(X3,X2),join(X4,X3))) = meet(X4,meet(X4,meet(join(X3,X2),join(X4,X3)))),
inference(symmetry,[status(thm)],[c216]) ).
cnf(c218,plain,
join(X3,meet(X3,X2)) = meet(X3,join(X3,X2)),
inference(symmetry,[status(thm)],[c145]) ).
cnf(c219,plain,
meet(join(X4,meet(X4,X3)),X2) = meet(meet(X4,join(X4,X3)),X2),
inference(congruence,[status(thm)],[c218]) ).
cnf(c220,plain,
meet(meet(X4,join(X4,X3)),X2) = meet(X4,meet(join(X4,X3),X2)),
inference(substitution,[status(thm)],[c18]) ).
cnf(c221,plain,
meet(join(X4,X3),X2) = meet(X2,join(X4,X3)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c222,plain,
meet(X4,meet(join(X4,X3),X2)) = meet(X4,meet(X2,join(X4,X3))),
inference(congruence,[status(thm)],[c221]) ).
cnf(c223,plain,
meet(meet(X4,join(X4,X3)),X2) = meet(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c220,c222]) ).
cnf(c224,plain,
meet(join(X4,meet(X4,X3)),X2) = meet(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c219,c223]) ).
cnf(c225,plain,
meet(join(X4,meet(X4,X3)),join(X3,X2)) = meet(X4,meet(join(X3,X2),join(X4,X3))),
inference(substitution,[status(thm)],[c224]) ).
cnf(c226,plain,
meet(X4,meet(join(X3,X2),join(X4,X3))) = meet(join(X4,meet(X4,X3)),join(X3,X2)),
inference(symmetry,[status(thm)],[c225]) ).
cnf(c227,plain,
meet(X4,meet(X4,meet(join(X3,X2),join(X4,X3)))) = meet(X4,meet(join(X4,meet(X4,X3)),join(X3,X2))),
inference(congruence,[status(thm)],[c226]) ).
cnf(c228,plain,
join(meet(X3,X2),X3) = join(X3,meet(X3,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c229,plain,
join(X3,meet(X3,X2)) = join(meet(X3,X2),X3),
inference(symmetry,[status(thm)],[c228]) ).
cnf(c230,plain,
meet(join(X4,meet(X4,X3)),join(X3,X2)) = meet(join(meet(X4,X3),X4),join(X3,X2)),
inference(congruence,[status(thm)],[c229]) ).
cnf(c231,plain,
meet(X4,meet(join(X4,meet(X4,X3)),join(X3,X2))) = meet(X4,meet(join(meet(X4,X3),X4),join(X3,X2))),
inference(congruence,[status(thm)],[c230]) ).
cnf(c232,plain,
meet(join(meet(X4,X3),X4),meet(X4,join(X3,X2))) = meet(X4,meet(join(meet(X4,X3),X4),join(X3,X2))),
inference(substitution,[status(thm)],[c198]) ).
cnf(c233,plain,
meet(X4,meet(join(meet(X4,X3),X4),join(X3,X2))) = meet(join(meet(X4,X3),X4),meet(X4,join(X3,X2))),
inference(symmetry,[status(thm)],[c232]) ).
cnf(c234,plain,
meet(X4,join(X3,X2)) = join(meet(X4,X3),meet(X4,join(X3,X2))),
inference(symmetry,[status(thm)],[c30]) ).
cnf(c235,plain,
meet(join(meet(X4,X3),X4),meet(X4,join(X3,X2))) = meet(join(meet(X4,X3),X4),join(meet(X4,X3),meet(X4,join(X3,X2)))),
inference(congruence,[status(thm)],[c234]) ).
cnf(c236,plain,
meet(join(meet(X4,X3),X4),join(meet(X4,X3),meet(X4,join(X3,X2)))) = join(meet(X4,X3),meet(X4,join(X3,X2))),
inference(substitution,[status(thm)],[c131]) ).
cnf(c237,plain,
meet(join(meet(X4,X3),X4),join(meet(X4,X3),meet(X4,join(X3,X2)))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c236,c30]) ).
cnf(c238,plain,
meet(join(meet(X4,X3),X4),meet(X4,join(X3,X2))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c235,c237]) ).
cnf(c239,plain,
meet(X4,meet(join(meet(X4,X3),X4),join(X3,X2))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c233,c238]) ).
cnf(c240,plain,
meet(X4,meet(join(X4,meet(X4,X3)),join(X3,X2))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c231,c239]) ).
cnf(c241,plain,
meet(X4,meet(X4,meet(join(X3,X2),join(X4,X3)))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c227,c240]) ).
cnf(c242,plain,
meet(X4,meet(join(X3,X2),join(X4,X3))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c217,c241]) ).
cnf(c243,plain,
meet(X4,meet(join(X4,X3),join(X3,X2))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c215,c242]) ).
cnf(c244,plain,
meet(X4,meet(join(X3,X2),join(X4,X3))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c212,c243]) ).
cnf(c245,plain,
meet(meet(X3,X4),meet(join(X2,X3),join(meet(X3,X4),X2))) = meet(meet(X3,X4),join(X2,X3)),
inference(substitution,[status(thm)],[c244]) ).
cnf(c246,plain,
meet(meet(X3,X4),join(X2,X3)) = meet(X3,meet(X4,join(X2,X3))),
inference(substitution,[status(thm)],[c18]) ).
cnf(c247,plain,
meet(X3,meet(X4,join(X2,X3))) = meet(X4,meet(X3,join(X2,X3))),
inference(substitution,[status(thm)],[c198]) ).
cnf(c248,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c249,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c248]) ).
cnf(c250,plain,
meet(X3,join(X2,X3)) = meet(X3,join(X3,X2)),
inference(congruence,[status(thm)],[c249]) ).
cnf(c251,plain,
meet(X3,join(X2,X3)) = join(X3,meet(X3,X2)),
inference(transitivity,[status(thm)],[c250,c145]) ).
cnf(c252,plain,
meet(X4,meet(X3,join(X2,X3))) = meet(X4,join(X3,meet(X3,X2))),
inference(congruence,[status(thm)],[c251]) ).
cnf(c253,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c5]) ).
cnf(c254,plain,
join(X3,meet(X3,X2)) = join(X3,meet(X2,X3)),
inference(congruence,[status(thm)],[c253]) ).
cnf(c255,plain,
meet(X4,join(X3,meet(X3,X2))) = meet(X4,join(X3,meet(X2,X3))),
inference(congruence,[status(thm)],[c254]) ).
cnf(c256,plain,
meet(X4,meet(X3,join(X2,X3))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c252,c255]) ).
cnf(c257,plain,
meet(X3,meet(X4,join(X2,X3))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c247,c256]) ).
cnf(c258,plain,
meet(meet(X3,X4),join(X2,X3)) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c246,c257]) ).
cnf(c259,plain,
meet(meet(X3,X4),meet(join(X2,X3),join(meet(X3,X4),X2))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c245,c258]) ).
cnf(c260,plain,
meet(meet(X3,X4),join(X2,meet(X3,X4))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c209,c259]) ).
cnf(c261,plain,
meet(X3,meet(X4,join(X2,meet(X3,X4)))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c202,c260]) ).
cnf(c262,plain,
meet(X4,meet(X3,join(X2,meet(X3,X4)))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c200,c261]) ).
cnf(c263,plain,
meet(X4,meet(X3,join(X2,meet(X4,X3)))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c191,c262]) ).
cnf(c264,plain,
meet(X4,meet(join(X3,X2),join(meet(X4,X3),meet(X4,join(X3,X2))))) = meet(X4,join(join(X3,X2),meet(meet(X4,X3),join(X3,X2)))),
inference(substitution,[status(thm)],[c263]) ).
cnf(c265,plain,
meet(X4,join(join(X3,X2),meet(meet(X4,X3),join(X3,X2)))) = meet(X4,meet(join(X3,X2),join(meet(X4,X3),meet(X4,join(X3,X2))))),
inference(symmetry,[status(thm)],[c264]) ).
cnf(c266,plain,
meet(join(X3,X2),join(meet(X4,X3),meet(X4,join(X3,X2)))) = meet(join(X3,X2),meet(X4,join(X3,X2))),
inference(congruence,[status(thm)],[c30]) ).
cnf(c267,plain,
meet(X4,meet(join(X3,X2),join(meet(X4,X3),meet(X4,join(X3,X2))))) = meet(X4,meet(join(X3,X2),meet(X4,join(X3,X2)))),
inference(congruence,[status(thm)],[c266]) ).
cnf(c268,plain,
meet(join(X3,X2),meet(X4,join(X3,X2))) = meet(join(X3,X2),X4),
inference(substitution,[status(thm)],[c62]) ).
cnf(c269,plain,
meet(X4,meet(join(X3,X2),meet(X4,join(X3,X2)))) = meet(X4,meet(join(X3,X2),X4)),
inference(congruence,[status(thm)],[c268]) ).
cnf(c270,plain,
meet(X4,meet(join(X3,X2),X4)) = meet(X4,join(X3,X2)),
inference(substitution,[status(thm)],[c62]) ).
cnf(c271,plain,
meet(X4,meet(join(X3,X2),meet(X4,join(X3,X2)))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c269,c270]) ).
cnf(c272,plain,
meet(X4,meet(join(X3,X2),join(meet(X4,X3),meet(X4,join(X3,X2))))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c267,c271]) ).
cnf(c273,plain,
meet(X4,join(join(X3,X2),meet(meet(X4,X3),join(X3,X2)))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c265,c272]) ).
cnf(c274,plain,
meet(X4,join(X3,join(X2,meet(meet(X4,X3),join(X3,X2))))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c186,c273]) ).
cnf(c275,plain,
meet(X4,join(X3,join(X2,meet(X3,meet(X4,X3))))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c183,c274]) ).
cnf(c276,plain,
meet(X4,join(X3,join(X2,meet(X3,X4)))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c67,c275]) ).
cnf(c277,plain,
meet(X4,join(X3,join(X2,meet(X4,X3)))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c58,c276]) ).
cnf(c278,plain,
meet(X2,join(X4,join(X3,meet(X2,X4)))) = meet(X2,join(X4,X3)),
inference(substitution,[status(thm)],[c277]) ).
cnf(c279,plain,
meet(X2,join(X4,X3)) = meet(X2,join(X4,join(X3,meet(X2,X4)))),
inference(symmetry,[status(thm)],[c278]) ).
cnf(c280,plain,
join(meet(X4,X3),meet(X2,join(X4,X3))) = join(meet(X4,X3),meet(X2,join(X4,join(X3,meet(X2,X4))))),
inference(congruence,[status(thm)],[c279]) ).
cnf(c281,plain,
join(X4,join(meet(X4,X3),meet(X2,join(X4,X3)))) = join(X4,join(meet(X4,X3),meet(X2,join(X4,join(X3,meet(X2,X4)))))),
inference(congruence,[status(thm)],[c280]) ).
cnf(c282,plain,
join(join(X4,X3),meet(X2,X4)) = join(X4,join(X3,meet(X2,X4))),
inference(substitution,[status(thm)],[c46]) ).
cnf(c283,plain,
join(X4,join(X3,meet(X2,X4))) = join(join(X4,X3),meet(X2,X4)),
inference(symmetry,[status(thm)],[c282]) ).
cnf(c284,plain,
meet(X2,join(X4,join(X3,meet(X2,X4)))) = meet(X2,join(join(X4,X3),meet(X2,X4))),
inference(congruence,[status(thm)],[c283]) ).
cnf(c285,plain,
join(meet(X4,X3),meet(X2,join(X4,join(X3,meet(X2,X4))))) = join(meet(X4,X3),meet(X2,join(join(X4,X3),meet(X2,X4)))),
inference(congruence,[status(thm)],[c284]) ).
cnf(c286,plain,
join(X4,join(meet(X4,X3),meet(X2,join(X4,join(X3,meet(X2,X4)))))) = join(X4,join(meet(X4,X3),meet(X2,join(join(X4,X3),meet(X2,X4))))),
inference(congruence,[status(thm)],[c285]) ).
cnf(c287,plain,
join(join(X4,meet(X4,X3)),meet(X2,join(join(X4,X3),meet(X2,X4)))) = join(X4,join(meet(X4,X3),meet(X2,join(join(X4,X3),meet(X2,X4))))),
inference(substitution,[status(thm)],[c46]) ).
cnf(c288,plain,
join(X4,join(meet(X4,X3),meet(X2,join(join(X4,X3),meet(X2,X4))))) = join(join(X4,meet(X4,X3)),meet(X2,join(join(X4,X3),meet(X2,X4)))),
inference(symmetry,[status(thm)],[c287]) ).
cnf(c289,plain,
join(X3,meet(X3,X2)) = meet(X3,join(X3,X2)),
inference(symmetry,[status(thm)],[c145]) ).
cnf(c290,plain,
join(join(X4,meet(X4,X3)),meet(X2,join(join(X4,X3),meet(X2,X4)))) = join(meet(X4,join(X4,X3)),meet(X2,join(join(X4,X3),meet(X2,X4)))),
inference(congruence,[status(thm)],[c289]) ).
cnf(c291,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c292,plain,
join(X3,X2) = join(X2,X3),
inference(symmetry,[status(thm)],[c291]) ).
cnf(c293,plain,
meet(join(X4,X3),join(X2,meet(join(X4,X2),X3))) = meet(join(X3,X4),join(X2,meet(join(X4,X2),X3))),
inference(congruence,[status(thm)],[c292]) ).
cnf(c294,plain,
meet(join(X3,X4),join(X2,meet(join(X4,X2),X3))) = join(meet(X3,X4),meet(X2,join(meet(X4,X2),X3))),
inference(substitution,[status(thm)],[c117]) ).
cnf(c295,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c296,plain,
join(meet(X3,X4),meet(X2,join(meet(X4,X2),X3))) = join(meet(X4,X3),meet(X2,join(meet(X4,X2),X3))),
inference(congruence,[status(thm)],[c295]) ).
cnf(c297,plain,
join(meet(X4,X2),X3) = join(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c298,plain,
meet(X2,join(meet(X4,X2),X3)) = meet(X2,join(X3,meet(X4,X2))),
inference(congruence,[status(thm)],[c297]) ).
cnf(c299,plain,
join(meet(X4,X3),meet(X2,join(meet(X4,X2),X3))) = join(meet(X4,X3),meet(X2,join(X3,meet(X4,X2)))),
inference(congruence,[status(thm)],[c298]) ).
cnf(c300,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c5]) ).
cnf(c301,plain,
join(X3,meet(X4,X2)) = join(X3,meet(X2,X4)),
inference(congruence,[status(thm)],[c300]) ).
cnf(c302,plain,
meet(X2,join(X3,meet(X4,X2))) = meet(X2,join(X3,meet(X2,X4))),
inference(congruence,[status(thm)],[c301]) ).
cnf(c303,plain,
join(meet(X4,X3),meet(X2,join(X3,meet(X4,X2)))) = join(meet(X4,X3),meet(X2,join(X3,meet(X2,X4)))),
inference(congruence,[status(thm)],[c302]) ).
cnf(c304,plain,
join(meet(X4,X3),meet(X2,join(meet(X4,X2),X3))) = join(meet(X4,X3),meet(X2,join(X3,meet(X2,X4)))),
inference(transitivity,[status(thm)],[c299,c303]) ).
cnf(c305,plain,
join(meet(X3,X4),meet(X2,join(meet(X4,X2),X3))) = join(meet(X4,X3),meet(X2,join(X3,meet(X2,X4)))),
inference(transitivity,[status(thm)],[c296,c304]) ).
cnf(c306,plain,
meet(join(X3,X4),join(X2,meet(join(X4,X2),X3))) = join(meet(X4,X3),meet(X2,join(X3,meet(X2,X4)))),
inference(transitivity,[status(thm)],[c294,c305]) ).
cnf(c307,plain,
meet(join(X4,X3),join(X2,meet(join(X4,X2),X3))) = join(meet(X4,X3),meet(X2,join(X3,meet(X2,X4)))),
inference(transitivity,[status(thm)],[c293,c306]) ).
cnf(c308,plain,
meet(join(X4,join(X4,X3)),join(X2,meet(join(X4,X2),join(X4,X3)))) = join(meet(X4,join(X4,X3)),meet(X2,join(join(X4,X3),meet(X2,X4)))),
inference(substitution,[status(thm)],[c307]) ).
cnf(c309,plain,
join(meet(X4,join(X4,X3)),meet(X2,join(join(X4,X3),meet(X2,X4)))) = meet(join(X4,join(X4,X3)),join(X2,meet(join(X4,X2),join(X4,X3)))),
inference(symmetry,[status(thm)],[c308]) ).
cnf(c310,plain,
meet(join(X4,join(X4,X3)),join(X2,meet(join(X4,X2),join(X4,X3)))) = meet(join(X4,X3),join(X2,meet(join(X4,X2),join(X4,X3)))),
inference(congruence,[status(thm)],[c51]) ).
cnf(c311,plain,
meet(X4,join(X2,X3)) = meet(join(X2,X3),X4),
inference(substitution,[status(thm)],[c5]) ).
cnf(c312,plain,
meet(join(X2,X3),X4) = meet(X4,join(X2,X3)),
inference(symmetry,[status(thm)],[c311]) ).
cnf(c313,plain,
join(X3,meet(join(X2,X3),X4)) = join(X3,meet(X4,join(X2,X3))),
inference(congruence,[status(thm)],[c312]) ).
cnf(c314,plain,
meet(X4,join(X3,meet(join(X2,X3),X4))) = meet(X4,join(X3,meet(X4,join(X2,X3)))),
inference(congruence,[status(thm)],[c313]) ).
cnf(c315,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c316,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c315]) ).
cnf(c317,plain,
meet(X4,join(X2,X3)) = meet(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c316]) ).
cnf(c318,plain,
join(X3,meet(X4,join(X2,X3))) = join(X3,meet(X4,join(X3,X2))),
inference(congruence,[status(thm)],[c317]) ).
cnf(c319,plain,
meet(X4,join(X3,meet(X4,join(X2,X3)))) = meet(X4,join(X3,meet(X4,join(X3,X2)))),
inference(congruence,[status(thm)],[c318]) ).
cnf(c320,plain,
meet(join(X4,X3),X2) = meet(X2,join(X4,X3)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c321,plain,
meet(X2,join(X4,X3)) = meet(join(X4,X3),X2),
inference(symmetry,[status(thm)],[c320]) ).
cnf(c322,plain,
join(X4,meet(X2,join(X4,X3))) = join(X4,meet(join(X4,X3),X2)),
inference(congruence,[status(thm)],[c321]) ).
cnf(c323,plain,
meet(join(X4,X3),join(X4,meet(X2,join(X4,X3)))) = meet(join(X4,X3),join(X4,meet(join(X4,X3),X2))),
inference(congruence,[status(thm)],[c322]) ).
cnf(c324,plain,
join(X3,X2) = join(X3,join(X3,X2)),
inference(symmetry,[status(thm)],[c51]) ).
cnf(c325,plain,
meet(join(X4,X3),join(X4,meet(join(X4,X3),X2))) = meet(join(X4,join(X4,X3)),join(X4,meet(join(X4,X3),X2))),
inference(congruence,[status(thm)],[c324]) ).
cnf(c326,plain,
meet(join(X4,join(X4,X3)),join(X4,meet(join(X4,X3),X2))) = join(X4,meet(join(X4,X3),X2)),
inference(substitution,[status(thm)],[c131]) ).
cnf(c327,plain,
meet(join(X4,X3),X2) = meet(X2,join(X4,X3)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c328,plain,
join(X4,meet(join(X4,X3),X2)) = join(X4,meet(X2,join(X4,X3))),
inference(congruence,[status(thm)],[c327]) ).
cnf(c329,plain,
meet(join(X4,join(X4,X3)),join(X4,meet(join(X4,X3),X2))) = join(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c326,c328]) ).
cnf(c330,plain,
meet(join(X4,X3),join(X4,meet(join(X4,X3),X2))) = join(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c325,c329]) ).
cnf(c331,plain,
meet(join(X4,X3),join(X4,meet(X2,join(X4,X3)))) = join(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c323,c330]) ).
cnf(c332,plain,
meet(join(X3,X2),join(X3,meet(X4,join(X3,X2)))) = join(X3,meet(X4,join(X3,X2))),
inference(substitution,[status(thm)],[c331]) ).
cnf(c333,plain,
join(X3,meet(X4,join(X3,X2))) = meet(join(X3,X2),join(X3,meet(X4,join(X3,X2)))),
inference(symmetry,[status(thm)],[c332]) ).
cnf(c334,plain,
meet(X4,join(X3,meet(X4,join(X3,X2)))) = meet(X4,meet(join(X3,X2),join(X3,meet(X4,join(X3,X2))))),
inference(congruence,[status(thm)],[c333]) ).
cnf(c335,plain,
join(meet(X4,join(X3,X2)),X3) = join(X3,meet(X4,join(X3,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c336,plain,
join(X3,meet(X4,join(X3,X2))) = join(meet(X4,join(X3,X2)),X3),
inference(symmetry,[status(thm)],[c335]) ).
cnf(c337,plain,
meet(join(X3,X2),join(X3,meet(X4,join(X3,X2)))) = meet(join(X3,X2),join(meet(X4,join(X3,X2)),X3)),
inference(congruence,[status(thm)],[c336]) ).
cnf(c338,plain,
meet(X4,meet(join(X3,X2),join(X3,meet(X4,join(X3,X2))))) = meet(X4,meet(join(X3,X2),join(meet(X4,join(X3,X2)),X3))),
inference(congruence,[status(thm)],[c337]) ).
cnf(c339,plain,
meet(join(meet(X4,join(X3,X2)),X3),join(X3,X2)) = meet(join(X3,X2),join(meet(X4,join(X3,X2)),X3)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c340,plain,
meet(join(X3,X2),join(meet(X4,join(X3,X2)),X3)) = meet(join(meet(X4,join(X3,X2)),X3),join(X3,X2)),
inference(symmetry,[status(thm)],[c339]) ).
cnf(c341,plain,
meet(X4,meet(join(X3,X2),join(meet(X4,join(X3,X2)),X3))) = meet(X4,meet(join(meet(X4,join(X3,X2)),X3),join(X3,X2))),
inference(congruence,[status(thm)],[c340]) ).
cnf(c342,plain,
meet(join(meet(X4,join(X3,X2)),X3),meet(X4,join(X3,X2))) = meet(X4,meet(join(meet(X4,join(X3,X2)),X3),join(X3,X2))),
inference(substitution,[status(thm)],[c198]) ).
cnf(c343,plain,
meet(X4,meet(join(meet(X4,join(X3,X2)),X3),join(X3,X2))) = meet(join(meet(X4,join(X3,X2)),X3),meet(X4,join(X3,X2))),
inference(symmetry,[status(thm)],[c342]) ).
cnf(c344,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c345,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c344]) ).
cnf(c346,plain,
join(meet(X4,X3),meet(X3,join(X4,X2))) = join(meet(X3,X4),meet(X3,join(X4,X2))),
inference(congruence,[status(thm)],[c345]) ).
cnf(c347,plain,
join(meet(X3,X4),meet(X3,join(X4,X2))) = meet(X3,join(X4,X2)),
inference(substitution,[status(thm)],[c30]) ).
cnf(c348,plain,
join(meet(X4,X3),meet(X3,join(X4,X2))) = meet(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c346,c347]) ).
cnf(c349,plain,
join(meet(X3,X4),meet(X4,join(X3,X2))) = meet(X4,join(X3,X2)),
inference(substitution,[status(thm)],[c348]) ).
cnf(c350,plain,
meet(X4,join(X3,X2)) = join(meet(X3,X4),meet(X4,join(X3,X2))),
inference(symmetry,[status(thm)],[c349]) ).
cnf(c351,plain,
meet(join(meet(X4,join(X3,X2)),X3),meet(X4,join(X3,X2))) = meet(join(meet(X4,join(X3,X2)),X3),join(meet(X3,X4),meet(X4,join(X3,X2)))),
inference(congruence,[status(thm)],[c350]) ).
cnf(c352,plain,
meet(join(meet(X4,join(X3,X2)),X3),join(meet(X3,X4),meet(X4,join(X3,X2)))) = join(meet(X4,join(X3,X2)),meet(X3,X4)),
inference(substitution,[status(thm)],[c206]) ).
cnf(c353,plain,
join(meet(X4,join(X3,X2)),meet(X3,X4)) = join(meet(X3,X4),meet(X4,join(X3,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c354,plain,
join(meet(X3,X4),meet(X4,join(X3,X2))) = meet(X4,join(X3,X2)),
inference(substitution,[status(thm)],[c348]) ).
cnf(c355,plain,
join(meet(X4,join(X3,X2)),meet(X3,X4)) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c353,c354]) ).
cnf(c356,plain,
meet(join(meet(X4,join(X3,X2)),X3),join(meet(X3,X4),meet(X4,join(X3,X2)))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c352,c355]) ).
cnf(c357,plain,
meet(join(meet(X4,join(X3,X2)),X3),meet(X4,join(X3,X2))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c351,c356]) ).
cnf(c358,plain,
meet(X4,meet(join(meet(X4,join(X3,X2)),X3),join(X3,X2))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c343,c357]) ).
cnf(c359,plain,
meet(X4,meet(join(X3,X2),join(meet(X4,join(X3,X2)),X3))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c341,c358]) ).
cnf(c360,plain,
meet(X4,meet(join(X3,X2),join(X3,meet(X4,join(X3,X2))))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c338,c359]) ).
cnf(c361,plain,
meet(X4,join(X3,meet(X4,join(X3,X2)))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c334,c360]) ).
cnf(c362,plain,
meet(X4,join(X3,meet(X4,join(X2,X3)))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c319,c361]) ).
cnf(c363,plain,
meet(X4,join(X3,meet(join(X2,X3),X4))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c314,c362]) ).
cnf(c364,plain,
meet(join(X4,X3),join(X2,meet(join(X4,X2),join(X4,X3)))) = meet(join(X4,X3),join(X2,X4)),
inference(substitution,[status(thm)],[c363]) ).
cnf(c365,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c366,plain,
meet(join(X4,X3),join(X2,X4)) = meet(join(X4,X3),join(X4,X2)),
inference(congruence,[status(thm)],[c365]) ).
cnf(c367,plain,
meet(join(X4,X3),join(X2,meet(join(X4,X2),join(X4,X3)))) = meet(join(X4,X3),join(X4,X2)),
inference(transitivity,[status(thm)],[c364,c366]) ).
cnf(c368,plain,
meet(join(X4,join(X4,X3)),join(X2,meet(join(X4,X2),join(X4,X3)))) = meet(join(X4,X3),join(X4,X2)),
inference(transitivity,[status(thm)],[c310,c367]) ).
cnf(c369,plain,
join(meet(X4,join(X4,X3)),meet(X2,join(join(X4,X3),meet(X2,X4)))) = meet(join(X4,X3),join(X4,X2)),
inference(transitivity,[status(thm)],[c309,c368]) ).
cnf(c370,plain,
join(join(X4,meet(X4,X3)),meet(X2,join(join(X4,X3),meet(X2,X4)))) = meet(join(X4,X3),join(X4,X2)),
inference(transitivity,[status(thm)],[c290,c369]) ).
cnf(c371,plain,
join(X4,join(meet(X4,X3),meet(X2,join(join(X4,X3),meet(X2,X4))))) = meet(join(X4,X3),join(X4,X2)),
inference(transitivity,[status(thm)],[c288,c370]) ).
cnf(c372,plain,
join(X4,join(meet(X4,X3),meet(X2,join(X4,join(X3,meet(X2,X4)))))) = meet(join(X4,X3),join(X4,X2)),
inference(transitivity,[status(thm)],[c286,c371]) ).
cnf(c373,plain,
join(X4,join(meet(X4,X3),meet(X2,join(X4,X3)))) = meet(join(X4,X3),join(X4,X2)),
inference(transitivity,[status(thm)],[c281,c372]) ).
cnf(c374,plain,
join(X4,join(meet(X4,join(X4,X3)),meet(X2,join(X4,join(X4,X3))))) = meet(join(X4,join(X4,X3)),join(X4,X2)),
inference(substitution,[status(thm)],[c373]) ).
cnf(c375,plain,
meet(join(X4,join(X4,X3)),join(X4,X2)) = join(X4,join(meet(X4,join(X4,X3)),meet(X2,join(X4,join(X4,X3))))),
inference(symmetry,[status(thm)],[c374]) ).
cnf(c376,plain,
meet(X2,join(X4,join(X4,X3))) = meet(X2,join(X4,X3)),
inference(congruence,[status(thm)],[c51]) ).
cnf(c377,plain,
join(meet(X4,join(X4,X3)),meet(X2,join(X4,join(X4,X3)))) = join(meet(X4,join(X4,X3)),meet(X2,join(X4,X3))),
inference(congruence,[status(thm)],[c376]) ).
cnf(c378,plain,
join(X4,join(meet(X4,join(X4,X3)),meet(X2,join(X4,join(X4,X3))))) = join(X4,join(meet(X4,join(X4,X3)),meet(X2,join(X4,X3)))),
inference(congruence,[status(thm)],[c377]) ).
cnf(c379,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c5]) ).
cnf(c380,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c379]) ).
cnf(c381,plain,
join(meet(X4,X3),meet(X2,X3)) = join(meet(X4,X3),meet(X3,X2)),
inference(congruence,[status(thm)],[c380]) ).
cnf(c382,plain,
join(X4,join(meet(X4,X3),meet(X2,X3))) = join(X4,join(meet(X4,X3),meet(X3,X2))),
inference(congruence,[status(thm)],[c381]) ).
cnf(c383,plain,
join(X4,join(meet(X4,X3),meet(X2,X3))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c382,c170]) ).
cnf(c384,plain,
join(X4,join(meet(X4,join(X4,X3)),meet(X2,join(X4,X3)))) = join(X4,meet(join(X4,X3),X2)),
inference(substitution,[status(thm)],[c383]) ).
cnf(c385,plain,
meet(join(X4,X3),X2) = meet(X2,join(X4,X3)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c386,plain,
join(X4,meet(join(X4,X3),X2)) = join(X4,meet(X2,join(X4,X3))),
inference(congruence,[status(thm)],[c385]) ).
cnf(c387,plain,
join(X4,join(meet(X4,join(X4,X3)),meet(X2,join(X4,X3)))) = join(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c384,c386]) ).
cnf(c388,plain,
join(X4,join(meet(X4,join(X4,X3)),meet(X2,join(X4,join(X4,X3))))) = join(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c378,c387]) ).
cnf(c389,plain,
meet(join(X4,join(X4,X3)),join(X4,X2)) = join(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c375,c388]) ).
cnf(c390,plain,
meet(join(X4,X3),join(X4,X2)) = join(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c53,c389]) ).
cnf(c391,plain,
meet(join(X4,X2),join(X4,X3)) = join(X4,meet(X3,join(X4,X2))),
inference(substitution,[status(thm)],[c390]) ).
cnf(c392,plain,
meet(join(X4,X3),join(X4,X2)) = join(X4,meet(X3,join(X4,X2))),
inference(transitivity,[status(thm)],[c45,c391]) ).
cnf(c393,plain,
join(X4,meet(X3,join(X4,X2))) = meet(join(X4,X3),join(X4,X2)),
inference(symmetry,[status(thm)],[c392]) ).
cnf(c394,plain,
meet(join(X4,X2),join(X4,meet(join(X4,X3),join(X4,X2)))) = join(X4,meet(join(X4,X3),join(X4,X2))),
inference(substitution,[status(thm)],[c331]) ).
cnf(c395,plain,
join(X4,meet(join(X4,X3),join(X4,X2))) = meet(join(X4,X2),join(X4,meet(join(X4,X3),join(X4,X2)))),
inference(symmetry,[status(thm)],[c394]) ).
cnf(c396,plain,
meet(X4,join(X3,X2)) = meet(join(X3,X2),X4),
inference(substitution,[status(thm)],[c5]) ).
cnf(c397,plain,
meet(join(X3,X2),X4) = meet(X4,join(X3,X2)),
inference(symmetry,[status(thm)],[c396]) ).
cnf(c398,plain,
join(X3,meet(join(X3,X2),X4)) = join(X3,meet(X4,join(X3,X2))),
inference(congruence,[status(thm)],[c397]) ).
cnf(c399,plain,
meet(X4,join(X3,meet(join(X3,X2),X4))) = meet(X4,join(X3,meet(X4,join(X3,X2)))),
inference(congruence,[status(thm)],[c398]) ).
cnf(c400,plain,
meet(X4,join(X3,meet(join(X3,X2),X4))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c399,c361]) ).
cnf(c401,plain,
meet(join(X4,X2),join(X4,meet(join(X4,X3),join(X4,X2)))) = meet(join(X4,X2),join(X4,X3)),
inference(substitution,[status(thm)],[c400]) ).
cnf(c402,plain,
meet(join(X4,X2),join(X4,X3)) = meet(join(X4,X3),join(X4,X2)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c403,plain,
meet(join(X4,X2),join(X4,meet(join(X4,X3),join(X4,X2)))) = meet(join(X4,X3),join(X4,X2)),
inference(transitivity,[status(thm)],[c401,c402]) ).
cnf(c404,plain,
join(X4,meet(join(X4,X3),join(X4,X2))) = meet(join(X4,X3),join(X4,X2)),
inference(transitivity,[status(thm)],[c395,c403]) ).
cnf(c405,plain,
meet(join(X4,X3),join(X4,X2)) = join(X4,meet(join(X4,X3),join(X4,X2))),
inference(symmetry,[status(thm)],[c404]) ).
cnf(c406,plain,
meet(join(X4,X2),join(X4,join(X4,X3))) = join(X4,meet(join(X4,X3),join(X4,X2))),
inference(substitution,[status(thm)],[c390]) ).
cnf(c407,plain,
join(X4,meet(join(X4,X3),join(X4,X2))) = meet(join(X4,X2),join(X4,join(X4,X3))),
inference(symmetry,[status(thm)],[c406]) ).
cnf(c408,plain,
meet(join(X4,X2),join(X4,join(X4,X3))) = meet(join(X4,X2),join(X4,X3)),
inference(congruence,[status(thm)],[c51]) ).
cnf(c409,plain,
meet(join(X4,X2),join(X4,X3)) = join(X4,meet(X2,join(X4,X3))),
inference(substitution,[status(thm)],[c392]) ).
cnf(c410,plain,
meet(join(X4,X2),join(X4,join(X4,X3))) = join(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c408,c409]) ).
cnf(c411,plain,
join(X4,meet(join(X4,X3),join(X4,X2))) = join(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c407,c410]) ).
cnf(c412,plain,
meet(join(X4,X3),join(X4,X2)) = join(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c405,c411]) ).
cnf(c413,plain,
join(X4,meet(X3,join(X4,X2))) = join(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c393,c412]) ).
cnf(c414,plain,
join(X4,meet(X2,join(X4,X3))) = join(X4,meet(X3,join(X4,X2))),
inference(substitution,[status(thm)],[c413]) ).
cnf(c415,plain,
join(X4,meet(X2,join(X3,X4))) = join(X4,meet(X3,join(X4,X2))),
inference(transitivity,[status(thm)],[c43,c414]) ).
cnf(c416,plain,
join(meet(X4,X2),meet(X3,join(X4,meet(X4,X2)))) = join(meet(X4,X2),meet(X4,join(meet(X4,X2),X3))),
inference(substitution,[status(thm)],[c415]) ).
cnf(c417,plain,
join(meet(X4,X2),meet(X4,join(meet(X4,X2),X3))) = join(meet(X4,X2),meet(X3,join(X4,meet(X4,X2)))),
inference(symmetry,[status(thm)],[c416]) ).
cnf(c418,plain,
meet(X3,X2) = meet(X3,meet(X3,X2)),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c419,plain,
join(X3,meet(X3,X2)) = join(X3,meet(X3,meet(X3,X2))),
inference(congruence,[status(thm)],[c418]) ).
cnf(c420,plain,
meet(X2,join(X4,meet(X4,X3))) = meet(X2,join(X4,meet(X4,meet(X4,X3)))),
inference(congruence,[status(thm)],[c419]) ).
cnf(c421,plain,
join(meet(X4,X3),meet(X2,join(X4,meet(X4,X3)))) = join(meet(X4,X3),meet(X2,join(X4,meet(X4,meet(X4,X3))))),
inference(congruence,[status(thm)],[c420]) ).
cnf(c422,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c5]) ).
cnf(c423,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c422]) ).
cnf(c424,plain,
join(X2,meet(X2,X3)) = join(X2,meet(X3,X2)),
inference(congruence,[status(thm)],[c423]) ).
cnf(c425,plain,
meet(X3,join(X2,meet(X2,X4))) = meet(X3,join(X2,meet(X4,X2))),
inference(congruence,[status(thm)],[c424]) ).
cnf(c426,plain,
join(X4,meet(X3,join(X2,meet(X2,X4)))) = join(X4,meet(X3,join(X2,meet(X4,X2)))),
inference(congruence,[status(thm)],[c425]) ).
cnf(c427,plain,
join(meet(X3,X2),meet(X3,join(X2,meet(X4,X2)))) = meet(X3,join(X2,meet(X4,X2))),
inference(substitution,[status(thm)],[c30]) ).
cnf(c428,plain,
meet(X3,join(X2,meet(X4,X2))) = join(meet(X3,X2),meet(X3,join(X2,meet(X4,X2)))),
inference(symmetry,[status(thm)],[c427]) ).
cnf(c429,plain,
join(X4,meet(X3,join(X2,meet(X4,X2)))) = join(X4,join(meet(X3,X2),meet(X3,join(X2,meet(X4,X2))))),
inference(congruence,[status(thm)],[c428]) ).
cnf(c430,plain,
meet(X4,meet(X2,X3)) = meet(X2,meet(X4,X3)),
inference(substitution,[status(thm)],[c198]) ).
cnf(c431,plain,
meet(X2,meet(X4,X3)) = meet(X4,meet(X2,X3)),
inference(symmetry,[status(thm)],[c430]) ).
cnf(c432,plain,
join(meet(X4,X3),meet(X2,meet(X4,X3))) = join(meet(X4,X3),meet(X4,meet(X2,X3))),
inference(congruence,[status(thm)],[c431]) ).
cnf(c433,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c5]) ).
cnf(c434,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c433]) ).
cnf(c435,plain,
meet(X4,meet(X2,X3)) = meet(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c434]) ).
cnf(c436,plain,
join(meet(X4,X3),meet(X4,meet(X2,X3))) = join(meet(X4,X3),meet(X4,meet(X3,X2))),
inference(congruence,[status(thm)],[c435]) ).
cnf(c437,plain,
meet(X3,meet(X4,X2)) = meet(X4,meet(X3,X2)),
inference(substitution,[status(thm)],[c198]) ).
cnf(c438,plain,
meet(X4,meet(X3,X2)) = meet(X3,meet(X4,X2)),
inference(symmetry,[status(thm)],[c437]) ).
cnf(c439,plain,
join(meet(X4,X3),meet(X4,meet(X3,X2))) = join(meet(X4,X3),meet(X3,meet(X4,X2))),
inference(congruence,[status(thm)],[c438]) ).
cnf(c440,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c441,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c440]) ).
cnf(c442,plain,
join(meet(X4,X3),meet(X3,meet(X4,X2))) = join(meet(X3,X4),meet(X3,meet(X4,X2))),
inference(congruence,[status(thm)],[c441]) ).
cnf(c443,plain,
join(meet(X3,meet(X4,X2)),meet(X3,X4)) = join(meet(X3,X4),meet(X3,meet(X4,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c444,plain,
join(meet(X3,X4),meet(X3,meet(X4,X2))) = join(meet(X3,meet(X4,X2)),meet(X3,X4)),
inference(symmetry,[status(thm)],[c443]) ).
cnf(c445,plain,
meet(meet(X3,X4),X2) = meet(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c18]) ).
cnf(c446,plain,
meet(X3,meet(X4,X2)) = meet(meet(X3,X4),X2),
inference(symmetry,[status(thm)],[c445]) ).
cnf(c447,plain,
join(meet(X3,meet(X4,X2)),meet(X3,X4)) = join(meet(meet(X3,X4),X2),meet(X3,X4)),
inference(congruence,[status(thm)],[c446]) ).
cnf(c448,plain,
join(X3,meet(X4,X2)) = join(meet(X4,X2),X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c449,plain,
join(meet(X4,X2),X3) = join(X3,meet(X4,X2)),
inference(symmetry,[status(thm)],[c448]) ).
cnf(c450,plain,
meet(join(X4,X3),join(meet(X4,X2),X3)) = meet(join(X4,X3),join(X3,meet(X4,X2))),
inference(congruence,[status(thm)],[c449]) ).
cnf(c451,plain,
meet(join(X4,X3),join(meet(X4,X2),X3)) = join(X3,meet(X4,X2)),
inference(transitivity,[status(thm)],[c450,c133]) ).
cnf(c452,plain,
meet(join(X3,meet(meet(X3,X4),X2)),join(meet(X3,X4),meet(meet(X3,X4),X2))) = join(meet(meet(X3,X4),X2),meet(X3,X4)),
inference(substitution,[status(thm)],[c451]) ).
cnf(c453,plain,
join(meet(meet(X3,X4),X2),meet(X3,X4)) = meet(join(X3,meet(meet(X3,X4),X2)),join(meet(X3,X4),meet(meet(X3,X4),X2))),
inference(symmetry,[status(thm)],[c452]) ).
cnf(c454,plain,
X2 = join(X2,X2),
inference(symmetry,[status(thm)],[c49]) ).
cnf(c455,plain,
meet(X4,meet(X3,join(X4,meet(X4,X2)))) = meet(join(X4,X4),meet(X3,join(X4,meet(X4,X2)))),
inference(congruence,[status(thm)],[c454]) ).
cnf(c456,plain,
meet(join(X4,meet(X3,X5)),X2) = meet(X2,join(X4,meet(X3,X5))),
inference(substitution,[status(thm)],[c5]) ).
cnf(c457,plain,
meet(X3,join(X5,meet(X4,X2))) = meet(join(X5,meet(X4,X2)),X3),
inference(symmetry,[status(thm)],[c456]) ).
cnf(c458,plain,
meet(join(X5,X4),meet(X3,join(X5,meet(X4,X2)))) = meet(join(X5,X4),meet(join(X5,meet(X4,X2)),X3)),
inference(congruence,[status(thm)],[c457]) ).
cnf(c459,plain,
meet(meet(join(X5,X4),join(X5,meet(X4,X2))),X3) = meet(join(X5,X4),meet(join(X5,meet(X4,X2)),X3)),
inference(substitution,[status(thm)],[c18]) ).
cnf(c460,plain,
meet(join(X5,X4),meet(join(X5,meet(X4,X2)),X3)) = meet(meet(join(X5,X4),join(X5,meet(X4,X2))),X3),
inference(symmetry,[status(thm)],[c459]) ).
cnf(c461,plain,
meet(meet(join(X5,X4),join(X5,meet(X4,X2))),X3) = meet(join(X5,meet(X4,X2)),X3),
inference(congruence,[status(thm)],[c131]) ).
cnf(c462,plain,
meet(join(X5,meet(X4,X2)),X3) = meet(X3,join(X5,meet(X4,X2))),
inference(substitution,[status(thm)],[c5]) ).
cnf(c463,plain,
meet(meet(join(X5,X4),join(X5,meet(X4,X2))),X3) = meet(X3,join(X5,meet(X4,X2))),
inference(transitivity,[status(thm)],[c461,c462]) ).
cnf(c464,plain,
meet(join(X5,X4),meet(join(X5,meet(X4,X2)),X3)) = meet(X3,join(X5,meet(X4,X2))),
inference(transitivity,[status(thm)],[c460,c463]) ).
cnf(c465,plain,
meet(join(X5,X4),meet(X3,join(X5,meet(X4,X2)))) = meet(X3,join(X5,meet(X4,X2))),
inference(transitivity,[status(thm)],[c458,c464]) ).
cnf(c466,plain,
meet(join(X4,X4),meet(X3,join(X4,meet(X4,X2)))) = meet(X3,join(X4,meet(X4,X2))),
inference(substitution,[status(thm)],[c465]) ).
cnf(c467,plain,
meet(X4,meet(X3,join(X4,meet(X4,X2)))) = meet(X3,join(X4,meet(X4,X2))),
inference(transitivity,[status(thm)],[c455,c466]) ).
cnf(c468,plain,
meet(meet(X3,X4),meet(join(X3,meet(meet(X3,X4),X2)),join(meet(X3,X4),meet(meet(X3,X4),X2)))) = meet(join(X3,meet(meet(X3,X4),X2)),join(meet(X3,X4),meet(meet(X3,X4),X2))),
inference(substitution,[status(thm)],[c467]) ).
cnf(c469,plain,
meet(join(X3,meet(meet(X3,X4),X2)),join(meet(X3,X4),meet(meet(X3,X4),X2))) = meet(meet(X3,X4),meet(join(X3,meet(meet(X3,X4),X2)),join(meet(X3,X4),meet(meet(X3,X4),X2)))),
inference(symmetry,[status(thm)],[c468]) ).
cnf(c470,plain,
meet(join(X3,meet(meet(X3,X4),X2)),join(meet(X3,X4),meet(meet(X3,X4),X2))) = join(meet(meet(X3,X4),X2),meet(X3,X4)),
inference(substitution,[status(thm)],[c451]) ).
cnf(c471,plain,
meet(meet(X3,X4),meet(join(X3,meet(meet(X3,X4),X2)),join(meet(X3,X4),meet(meet(X3,X4),X2)))) = meet(meet(X3,X4),join(meet(meet(X3,X4),X2),meet(X3,X4))),
inference(congruence,[status(thm)],[c470]) ).
cnf(c472,plain,
meet(meet(X3,X4),join(meet(meet(X3,X4),X2),meet(X3,X4))) = meet(X3,meet(X4,join(meet(meet(X3,X4),X2),meet(X3,X4)))),
inference(substitution,[status(thm)],[c18]) ).
cnf(c473,plain,
meet(X3,meet(X4,join(meet(meet(X3,X4),X2),meet(X3,X4)))) = meet(X3,join(X4,meet(meet(meet(X3,X4),X2),X4))),
inference(substitution,[status(thm)],[c263]) ).
cnf(c474,plain,
meet(meet(meet(X3,X4),X2),X4) = meet(meet(X3,X4),meet(X2,X4)),
inference(substitution,[status(thm)],[c18]) ).
cnf(c475,plain,
join(X4,meet(meet(meet(X3,X4),X2),X4)) = join(X4,meet(meet(X3,X4),meet(X2,X4))),
inference(congruence,[status(thm)],[c474]) ).
cnf(c476,plain,
meet(X3,join(X4,meet(meet(meet(X3,X4),X2),X4))) = meet(X3,join(X4,meet(meet(X3,X4),meet(X2,X4)))),
inference(congruence,[status(thm)],[c475]) ).
cnf(c477,plain,
meet(meet(X3,X4),meet(X2,X4)) = meet(X3,meet(X4,meet(X2,X4))),
inference(substitution,[status(thm)],[c18]) ).
cnf(c478,plain,
join(X4,meet(meet(X3,X4),meet(X2,X4))) = join(X4,meet(X3,meet(X4,meet(X2,X4)))),
inference(congruence,[status(thm)],[c477]) ).
cnf(c479,plain,
meet(X3,join(X4,meet(meet(X3,X4),meet(X2,X4)))) = meet(X3,join(X4,meet(X3,meet(X4,meet(X2,X4))))),
inference(congruence,[status(thm)],[c478]) ).
cnf(c480,plain,
meet(X3,meet(X4,meet(X2,X4))) = meet(X3,meet(X4,X2)),
inference(congruence,[status(thm)],[c62]) ).
cnf(c481,plain,
join(X4,meet(X3,meet(X4,meet(X2,X4)))) = join(X4,meet(X3,meet(X4,X2))),
inference(congruence,[status(thm)],[c480]) ).
cnf(c482,plain,
meet(X3,join(X4,meet(X3,meet(X4,meet(X2,X4))))) = meet(X3,join(X4,meet(X3,meet(X4,X2)))),
inference(congruence,[status(thm)],[c481]) ).
cnf(c483,plain,
meet(X3,meet(X4,X2)) = meet(X4,meet(X3,X2)),
inference(substitution,[status(thm)],[c198]) ).
cnf(c484,plain,
join(X4,meet(X3,meet(X4,X2))) = join(X4,meet(X4,meet(X3,X2))),
inference(congruence,[status(thm)],[c483]) ).
cnf(c485,plain,
meet(X3,join(X4,meet(X3,meet(X4,X2)))) = meet(X3,join(X4,meet(X4,meet(X3,X2)))),
inference(congruence,[status(thm)],[c484]) ).
cnf(c486,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c487,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c486]) ).
cnf(c488,plain,
join(X3,meet(X3,X2)) = join(X3,meet(X2,X3)),
inference(congruence,[status(thm)],[c487]) ).
cnf(c489,plain,
meet(X3,join(X4,meet(X4,X2))) = meet(X3,join(X4,meet(X2,X4))),
inference(congruence,[status(thm)],[c488]) ).
cnf(c490,plain,
meet(X3,meet(X4,join(X2,meet(X3,X4)))) = meet(X3,join(X4,meet(X2,X4))),
inference(substitution,[status(thm)],[c263]) ).
cnf(c491,plain,
meet(X3,join(X4,meet(X2,X4))) = meet(X3,meet(X4,join(X2,meet(X3,X4)))),
inference(symmetry,[status(thm)],[c490]) ).
cnf(c492,plain,
meet(meet(X3,X4),join(X2,meet(X3,X4))) = meet(X3,meet(X4,join(X2,meet(X3,X4)))),
inference(substitution,[status(thm)],[c18]) ).
cnf(c493,plain,
meet(X3,meet(X4,join(X2,meet(X3,X4)))) = meet(meet(X3,X4),join(X2,meet(X3,X4))),
inference(symmetry,[status(thm)],[c492]) ).
cnf(c494,plain,
meet(join(X3,X2),join(X2,meet(X3,X4))) = join(X2,meet(X3,X4)),
inference(substitution,[status(thm)],[c133]) ).
cnf(c495,plain,
join(X2,meet(X3,X4)) = meet(join(X3,X2),join(X2,meet(X3,X4))),
inference(symmetry,[status(thm)],[c494]) ).
cnf(c496,plain,
meet(meet(X3,X4),join(X2,meet(X3,X4))) = meet(meet(X3,X4),meet(join(X3,X2),join(X2,meet(X3,X4)))),
inference(congruence,[status(thm)],[c495]) ).
cnf(c497,plain,
meet(join(X2,X4),join(X3,X2)) = meet(join(X3,X2),join(X2,X4)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c498,plain,
meet(join(X3,X2),join(X2,X4)) = meet(join(X2,X4),join(X3,X2)),
inference(symmetry,[status(thm)],[c497]) ).
cnf(c499,plain,
meet(X4,meet(join(X3,X2),join(X2,X4))) = meet(X4,meet(join(X2,X4),join(X3,X2))),
inference(congruence,[status(thm)],[c498]) ).
cnf(c500,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c501,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c500]) ).
cnf(c502,plain,
meet(join(X3,X4),join(X2,X3)) = meet(join(X4,X3),join(X2,X3)),
inference(congruence,[status(thm)],[c501]) ).
cnf(c503,plain,
meet(X4,meet(join(X3,X4),join(X2,X3))) = meet(X4,meet(join(X4,X3),join(X2,X3))),
inference(congruence,[status(thm)],[c502]) ).
cnf(c504,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c505,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c504]) ).
cnf(c506,plain,
meet(join(X4,X3),join(X2,X3)) = meet(join(X4,X3),join(X3,X2)),
inference(congruence,[status(thm)],[c505]) ).
cnf(c507,plain,
meet(X4,meet(join(X4,X3),join(X2,X3))) = meet(X4,meet(join(X4,X3),join(X3,X2))),
inference(congruence,[status(thm)],[c506]) ).
cnf(c508,plain,
meet(X4,meet(join(X4,X3),join(X2,X3))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c507,c243]) ).
cnf(c509,plain,
meet(X4,meet(join(X3,X4),join(X2,X3))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c503,c508]) ).
cnf(c510,plain,
meet(X4,meet(join(X2,X4),join(X3,X2))) = meet(X4,join(X2,X3)),
inference(substitution,[status(thm)],[c509]) ).
cnf(c511,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c512,plain,
meet(X4,join(X2,X3)) = meet(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c511]) ).
cnf(c513,plain,
meet(X4,meet(join(X2,X4),join(X3,X2))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c510,c512]) ).
cnf(c514,plain,
meet(X4,meet(join(X3,X2),join(X2,X4))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c499,c513]) ).
cnf(c515,plain,
meet(meet(X3,X4),meet(join(X3,X2),join(X2,meet(X3,X4)))) = meet(meet(X3,X4),join(X3,X2)),
inference(substitution,[status(thm)],[c514]) ).
cnf(c516,plain,
meet(meet(X3,X4),join(X3,X2)) = meet(X3,meet(X4,join(X3,X2))),
inference(substitution,[status(thm)],[c18]) ).
cnf(c517,plain,
meet(X3,meet(X4,join(X3,X2))) = meet(X4,meet(X3,join(X3,X2))),
inference(substitution,[status(thm)],[c198]) ).
cnf(c518,plain,
meet(X4,meet(X3,join(X3,X2))) = meet(X4,join(X3,meet(X3,X2))),
inference(congruence,[status(thm)],[c145]) ).
cnf(c519,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c5]) ).
cnf(c520,plain,
join(X3,meet(X3,X2)) = join(X3,meet(X2,X3)),
inference(congruence,[status(thm)],[c519]) ).
cnf(c521,plain,
meet(X4,join(X3,meet(X3,X2))) = meet(X4,join(X3,meet(X2,X3))),
inference(congruence,[status(thm)],[c520]) ).
cnf(c522,plain,
meet(X4,meet(X3,join(X3,X2))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c518,c521]) ).
cnf(c523,plain,
meet(X3,meet(X4,join(X3,X2))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c517,c522]) ).
cnf(c524,plain,
meet(meet(X3,X4),join(X3,X2)) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c516,c523]) ).
cnf(c525,plain,
meet(meet(X3,X4),meet(join(X3,X2),join(X2,meet(X3,X4)))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c515,c524]) ).
cnf(c526,plain,
meet(meet(X3,X4),join(X2,meet(X3,X4))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c496,c525]) ).
cnf(c527,plain,
meet(X3,meet(X4,join(X2,meet(X3,X4)))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c493,c526]) ).
cnf(c528,plain,
meet(X3,join(X4,meet(X2,X4))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c491,c527]) ).
cnf(c529,plain,
meet(X4,join(X3,meet(X2,X3))) = meet(X3,join(X4,meet(X2,X4))),
inference(substitution,[status(thm)],[c528]) ).
cnf(c530,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c531,plain,
join(X3,meet(X2,X3)) = join(X3,meet(X3,X2)),
inference(congruence,[status(thm)],[c530]) ).
cnf(c532,plain,
meet(X3,join(X4,meet(X2,X4))) = meet(X3,join(X4,meet(X4,X2))),
inference(congruence,[status(thm)],[c531]) ).
cnf(c533,plain,
meet(X4,join(X3,meet(X2,X3))) = meet(X3,join(X4,meet(X4,X2))),
inference(transitivity,[status(thm)],[c529,c532]) ).
cnf(c534,plain,
meet(X3,join(X4,meet(X2,X4))) = meet(X4,join(X3,meet(X3,X2))),
inference(substitution,[status(thm)],[c533]) ).
cnf(c535,plain,
meet(X3,join(X4,meet(X4,X2))) = meet(X4,join(X3,meet(X3,X2))),
inference(transitivity,[status(thm)],[c489,c534]) ).
cnf(c536,plain,
meet(X4,join(X3,meet(X3,meet(X3,X2)))) = meet(X3,join(X4,meet(X4,meet(X3,X2)))),
inference(substitution,[status(thm)],[c535]) ).
cnf(c537,plain,
meet(X3,join(X4,meet(X4,meet(X3,X2)))) = meet(X4,join(X3,meet(X3,meet(X3,X2)))),
inference(symmetry,[status(thm)],[c536]) ).
cnf(c538,plain,
join(X3,meet(X3,meet(X3,X2))) = join(X3,meet(X3,X2)),
inference(congruence,[status(thm)],[c23]) ).
cnf(c539,plain,
meet(X4,join(X3,meet(X3,meet(X3,X2)))) = meet(X4,join(X3,meet(X3,X2))),
inference(congruence,[status(thm)],[c538]) ).
cnf(c540,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c5]) ).
cnf(c541,plain,
join(X3,meet(X3,X2)) = join(X3,meet(X2,X3)),
inference(congruence,[status(thm)],[c540]) ).
cnf(c542,plain,
meet(X4,join(X3,meet(X3,X2))) = meet(X4,join(X3,meet(X2,X3))),
inference(congruence,[status(thm)],[c541]) ).
cnf(c543,plain,
meet(X4,join(X3,meet(X3,meet(X3,X2)))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c539,c542]) ).
cnf(c544,plain,
meet(X3,join(X4,meet(X4,meet(X3,X2)))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c537,c543]) ).
cnf(c545,plain,
meet(X3,join(X4,meet(X3,meet(X4,X2)))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c485,c544]) ).
cnf(c546,plain,
meet(X3,join(X4,meet(X3,meet(X4,meet(X2,X4))))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c482,c545]) ).
cnf(c547,plain,
meet(X3,join(X4,meet(meet(X3,X4),meet(X2,X4)))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c479,c546]) ).
cnf(c548,plain,
meet(X3,join(X4,meet(meet(meet(X3,X4),X2),X4))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c476,c547]) ).
cnf(c549,plain,
meet(X3,meet(X4,join(meet(meet(X3,X4),X2),meet(X3,X4)))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c473,c548]) ).
cnf(c550,plain,
meet(meet(X3,X4),join(meet(meet(X3,X4),X2),meet(X3,X4))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c472,c549]) ).
cnf(c551,plain,
meet(meet(X3,X4),meet(join(X3,meet(meet(X3,X4),X2)),join(meet(X3,X4),meet(meet(X3,X4),X2)))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c471,c550]) ).
cnf(c552,plain,
meet(join(X3,meet(meet(X3,X4),X2)),join(meet(X3,X4),meet(meet(X3,X4),X2))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c469,c551]) ).
cnf(c553,plain,
join(meet(meet(X3,X4),X2),meet(X3,X4)) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c453,c552]) ).
cnf(c554,plain,
join(meet(X3,meet(X4,X2)),meet(X3,X4)) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c447,c553]) ).
cnf(c555,plain,
join(meet(X3,X4),meet(X3,meet(X4,X2))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c444,c554]) ).
cnf(c556,plain,
join(meet(X4,X3),meet(X3,meet(X4,X2))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c442,c555]) ).
cnf(c557,plain,
join(meet(X4,X3),meet(X4,meet(X3,X2))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c439,c556]) ).
cnf(c558,plain,
join(meet(X4,X3),meet(X4,meet(X2,X3))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c436,c557]) ).
cnf(c559,plain,
join(meet(X4,X3),meet(X2,meet(X4,X3))) = meet(X4,join(X3,meet(X2,X3))),
inference(transitivity,[status(thm)],[c432,c558]) ).
cnf(c560,plain,
join(meet(X3,X2),meet(X4,meet(X3,X2))) = meet(X3,join(X2,meet(X4,X2))),
inference(substitution,[status(thm)],[c559]) ).
cnf(c561,plain,
meet(X3,join(X2,meet(X4,X2))) = join(meet(X3,X2),meet(X4,meet(X3,X2))),
inference(symmetry,[status(thm)],[c560]) ).
cnf(c562,plain,
join(meet(X3,X2),meet(X3,join(X2,meet(X4,X2)))) = join(meet(X3,X2),join(meet(X3,X2),meet(X4,meet(X3,X2)))),
inference(congruence,[status(thm)],[c561]) ).
cnf(c563,plain,
join(X4,join(meet(X3,X2),meet(X3,join(X2,meet(X4,X2))))) = join(X4,join(meet(X3,X2),join(meet(X3,X2),meet(X4,meet(X3,X2))))),
inference(congruence,[status(thm)],[c562]) ).
cnf(c564,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c565,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c564]) ).
cnf(c566,plain,
join(X2,meet(X4,X3)) = join(X2,meet(X3,X4)),
inference(congruence,[status(thm)],[c565]) ).
cnf(c567,plain,
join(X3,join(X2,meet(X4,X3))) = join(X3,join(X2,meet(X3,X4))),
inference(congruence,[status(thm)],[c566]) ).
cnf(c568,plain,
join(X4,join(X3,join(X2,meet(X4,X3)))) = join(X4,join(X3,join(X2,meet(X3,X4)))),
inference(congruence,[status(thm)],[c567]) ).
cnf(c569,plain,
join(meet(X3,X4),X2) = join(X2,meet(X3,X4)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c570,plain,
join(X2,meet(X3,X4)) = join(meet(X3,X4),X2),
inference(symmetry,[status(thm)],[c569]) ).
cnf(c571,plain,
join(X3,join(X2,meet(X3,X4))) = join(X3,join(meet(X3,X4),X2)),
inference(congruence,[status(thm)],[c570]) ).
cnf(c572,plain,
join(X4,join(X3,join(X2,meet(X3,X4)))) = join(X4,join(X3,join(meet(X3,X4),X2))),
inference(congruence,[status(thm)],[c571]) ).
cnf(c573,plain,
join(join(X3,meet(X3,X4)),X2) = join(X3,join(meet(X3,X4),X2)),
inference(substitution,[status(thm)],[c46]) ).
cnf(c574,plain,
join(X3,join(meet(X3,X4),X2)) = join(join(X3,meet(X3,X4)),X2),
inference(symmetry,[status(thm)],[c573]) ).
cnf(c575,plain,
join(X4,join(X3,join(meet(X3,X4),X2))) = join(X4,join(join(X3,meet(X3,X4)),X2)),
inference(congruence,[status(thm)],[c574]) ).
cnf(c576,plain,
meet(X2,join(X3,X2)) = join(X2,meet(X2,X3)),
inference(substitution,[status(thm)],[c251]) ).
cnf(c577,plain,
join(X2,meet(X2,X3)) = meet(X2,join(X3,X2)),
inference(symmetry,[status(thm)],[c576]) ).
cnf(c578,plain,
join(join(X3,meet(X3,X4)),X2) = join(meet(X3,join(X4,X3)),X2),
inference(congruence,[status(thm)],[c577]) ).
cnf(c579,plain,
join(X4,join(join(X3,meet(X3,X4)),X2)) = join(X4,join(meet(X3,join(X4,X3)),X2)),
inference(congruence,[status(thm)],[c578]) ).
cnf(c580,plain,
join(join(X4,meet(X3,join(X4,X3))),X2) = join(X4,join(meet(X3,join(X4,X3)),X2)),
inference(substitution,[status(thm)],[c46]) ).
cnf(c581,plain,
join(X4,join(meet(X3,join(X4,X3)),X2)) = join(join(X4,meet(X3,join(X4,X3))),X2),
inference(symmetry,[status(thm)],[c580]) ).
cnf(c582,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c583,plain,
join(X3,X2) = join(X2,X3),
inference(symmetry,[status(thm)],[c582]) ).
cnf(c584,plain,
meet(X2,join(X3,X2)) = meet(X2,join(X2,X3)),
inference(congruence,[status(thm)],[c583]) ).
cnf(c585,plain,
join(X3,meet(X2,join(X3,X2))) = join(X3,meet(X2,join(X2,X3))),
inference(congruence,[status(thm)],[c584]) ).
cnf(c586,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c587,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c586]) ).
cnf(c588,plain,
meet(X3,join(X2,X3)) = meet(X3,join(X3,X2)),
inference(congruence,[status(thm)],[c587]) ).
cnf(c589,plain,
join(X3,meet(X3,join(X2,X3))) = join(X3,meet(X3,join(X3,X2))),
inference(congruence,[status(thm)],[c588]) ).
cnf(c590,plain,
X2 = meet(X2,X2),
inference(symmetry,[status(thm)],[c21]) ).
cnf(c591,plain,
join(X3,meet(X3,join(X3,X2))) = join(meet(X3,X3),meet(X3,join(X3,X2))),
inference(congruence,[status(thm)],[c590]) ).
cnf(c592,plain,
join(meet(X3,X3),meet(X3,join(X3,X2))) = meet(X3,join(X3,X2)),
inference(substitution,[status(thm)],[c30]) ).
cnf(c593,plain,
join(X3,meet(X3,join(X3,X2))) = meet(X3,join(X3,X2)),
inference(transitivity,[status(thm)],[c591,c592]) ).
cnf(c594,plain,
join(X3,meet(X3,join(X2,X3))) = meet(X3,join(X3,X2)),
inference(transitivity,[status(thm)],[c589,c593]) ).
cnf(c595,plain,
join(X2,meet(X2,join(X3,X2))) = meet(X2,join(X2,X3)),
inference(substitution,[status(thm)],[c594]) ).
cnf(c596,plain,
meet(X2,join(X2,X3)) = join(X2,meet(X2,join(X3,X2))),
inference(symmetry,[status(thm)],[c595]) ).
cnf(c597,plain,
join(X3,meet(X2,join(X2,X3))) = join(X3,join(X2,meet(X2,join(X3,X2)))),
inference(congruence,[status(thm)],[c596]) ).
cnf(c598,plain,
meet(join(X3,X2),X2) = meet(X2,join(X3,X2)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c599,plain,
meet(X2,join(X3,X2)) = meet(join(X3,X2),X2),
inference(symmetry,[status(thm)],[c598]) ).
cnf(c600,plain,
join(X2,meet(X2,join(X3,X2))) = join(X2,meet(join(X3,X2),X2)),
inference(congruence,[status(thm)],[c599]) ).
cnf(c601,plain,
join(X3,join(X2,meet(X2,join(X3,X2)))) = join(X3,join(X2,meet(join(X3,X2),X2))),
inference(congruence,[status(thm)],[c600]) ).
cnf(c602,plain,
join(meet(join(X3,X2),X2),X2) = join(X2,meet(join(X3,X2),X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c603,plain,
join(X2,meet(join(X3,X2),X2)) = join(meet(join(X3,X2),X2),X2),
inference(symmetry,[status(thm)],[c602]) ).
cnf(c604,plain,
join(X3,join(X2,meet(join(X3,X2),X2))) = join(X3,join(meet(join(X3,X2),X2),X2)),
inference(congruence,[status(thm)],[c603]) ).
cnf(c605,plain,
join(X3,join(meet(join(X3,X2),X2),X2)) = join(meet(join(X3,X2),X2),join(X3,X2)),
inference(substitution,[status(thm)],[c159]) ).
cnf(c606,plain,
meet(join(X3,X2),join(X3,X2)) = join(X3,X2),
inference(substitution,[status(thm)],[c21]) ).
cnf(c607,plain,
join(X3,X2) = meet(join(X3,X2),join(X3,X2)),
inference(symmetry,[status(thm)],[c606]) ).
cnf(c608,plain,
join(meet(join(X3,X2),X2),join(X3,X2)) = join(meet(join(X3,X2),X2),meet(join(X3,X2),join(X3,X2))),
inference(congruence,[status(thm)],[c607]) ).
cnf(c609,plain,
join(meet(join(X3,X2),X2),meet(join(X3,X2),join(X3,X2))) = meet(join(X3,X2),join(X2,X3)),
inference(substitution,[status(thm)],[c98]) ).
cnf(c610,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c611,plain,
meet(join(X3,X2),join(X2,X3)) = meet(join(X3,X2),join(X3,X2)),
inference(congruence,[status(thm)],[c610]) ).
cnf(c612,plain,
meet(join(X3,X2),join(X3,X2)) = join(X3,X2),
inference(substitution,[status(thm)],[c21]) ).
cnf(c613,plain,
meet(join(X3,X2),join(X2,X3)) = join(X3,X2),
inference(transitivity,[status(thm)],[c611,c612]) ).
cnf(c614,plain,
join(meet(join(X3,X2),X2),meet(join(X3,X2),join(X3,X2))) = join(X3,X2),
inference(transitivity,[status(thm)],[c609,c613]) ).
cnf(c615,plain,
join(meet(join(X3,X2),X2),join(X3,X2)) = join(X3,X2),
inference(transitivity,[status(thm)],[c608,c614]) ).
cnf(c616,plain,
join(X3,join(meet(join(X3,X2),X2),X2)) = join(X3,X2),
inference(transitivity,[status(thm)],[c605,c615]) ).
cnf(c617,plain,
join(X3,join(X2,meet(join(X3,X2),X2))) = join(X3,X2),
inference(transitivity,[status(thm)],[c604,c616]) ).
cnf(c618,plain,
join(X3,join(X2,meet(X2,join(X3,X2)))) = join(X3,X2),
inference(transitivity,[status(thm)],[c601,c617]) ).
cnf(c619,plain,
join(X3,meet(X2,join(X2,X3))) = join(X3,X2),
inference(transitivity,[status(thm)],[c597,c618]) ).
cnf(c620,plain,
join(X3,meet(X2,join(X3,X2))) = join(X3,X2),
inference(transitivity,[status(thm)],[c585,c619]) ).
cnf(c621,plain,
join(join(X4,meet(X3,join(X4,X3))),X2) = join(join(X4,X3),X2),
inference(congruence,[status(thm)],[c620]) ).
cnf(c622,plain,
join(join(X4,X3),X2) = join(X4,join(X3,X2)),
inference(substitution,[status(thm)],[c46]) ).
cnf(c623,plain,
join(join(X4,meet(X3,join(X4,X3))),X2) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c621,c622]) ).
cnf(c624,plain,
join(X4,join(meet(X3,join(X4,X3)),X2)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c581,c623]) ).
cnf(c625,plain,
join(X4,join(join(X3,meet(X3,X4)),X2)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c579,c624]) ).
cnf(c626,plain,
join(X4,join(X3,join(meet(X3,X4),X2))) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c575,c625]) ).
cnf(c627,plain,
join(X4,join(X3,join(X2,meet(X3,X4)))) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c572,c626]) ).
cnf(c628,plain,
join(X4,join(X3,join(X2,meet(X4,X3)))) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c568,c627]) ).
cnf(c629,plain,
join(X4,join(meet(X3,X2),join(meet(X3,X2),meet(X4,meet(X3,X2))))) = join(X4,join(meet(X3,X2),meet(X3,X2))),
inference(substitution,[status(thm)],[c628]) ).
cnf(c630,plain,
join(meet(X3,X2),meet(X3,X2)) = meet(X3,X2),
inference(substitution,[status(thm)],[c49]) ).
cnf(c631,plain,
join(X4,join(meet(X3,X2),meet(X3,X2))) = join(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c630]) ).
cnf(c632,plain,
join(X4,join(meet(X3,X2),join(meet(X3,X2),meet(X4,meet(X3,X2))))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c629,c631]) ).
cnf(c633,plain,
join(X4,join(meet(X3,X2),meet(X3,join(X2,meet(X4,X2))))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c563,c632]) ).
cnf(c634,plain,
join(X4,meet(X3,join(X2,meet(X4,X2)))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c429,c633]) ).
cnf(c635,plain,
join(X4,meet(X3,join(X2,meet(X2,X4)))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c426,c634]) ).
cnf(c636,plain,
join(meet(X4,X3),meet(X2,join(X4,meet(X4,meet(X4,X3))))) = join(meet(X4,X3),meet(X2,X4)),
inference(substitution,[status(thm)],[c635]) ).
cnf(c637,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c638,plain,
join(meet(X4,X3),meet(X2,X4)) = join(meet(X4,X3),meet(X4,X2)),
inference(congruence,[status(thm)],[c637]) ).
cnf(c639,plain,
join(meet(X4,X3),meet(X2,join(X4,meet(X4,meet(X4,X3))))) = join(meet(X4,X3),meet(X4,X2)),
inference(transitivity,[status(thm)],[c636,c638]) ).
cnf(c640,plain,
join(meet(X4,X3),meet(X2,join(X4,meet(X4,X3)))) = join(meet(X4,X3),meet(X4,X2)),
inference(transitivity,[status(thm)],[c421,c639]) ).
cnf(c641,plain,
join(meet(X4,X2),meet(X3,join(X4,meet(X4,X2)))) = join(meet(X4,X2),meet(X4,X3)),
inference(substitution,[status(thm)],[c640]) ).
cnf(c642,plain,
join(meet(X4,X2),meet(X4,join(meet(X4,X2),X3))) = join(meet(X4,X2),meet(X4,X3)),
inference(transitivity,[status(thm)],[c417,c641]) ).
cnf(c643,plain,
meet(X4,join(X3,meet(X4,X2))) = join(meet(X4,X2),meet(X4,X3)),
inference(transitivity,[status(thm)],[c39,c642]) ).
cnf(c644,plain,
meet(X4,join(X3,meet(X2,X4))) = join(meet(X4,X2),meet(X4,X3)),
inference(transitivity,[status(thm)],[c9,c643]) ).
cnf(c645,plain,
join(meet(X4,X2),meet(X4,X3)) = meet(X4,join(X3,meet(X2,X4))),
inference(symmetry,[status(thm)],[c644]) ).
cnf(c646,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c5]) ).
cnf(c647,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c646]) ).
cnf(c648,plain,
join(X4,meet(X2,X3)) = join(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c647]) ).
cnf(c649,plain,
meet(join(X4,X3),join(X4,meet(X2,X3))) = meet(join(X4,X3),join(X4,meet(X3,X2))),
inference(congruence,[status(thm)],[c648]) ).
cnf(c650,plain,
meet(join(X4,X3),join(X4,meet(X2,X3))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c649,c131]) ).
cnf(c651,plain,
meet(join(X3,X2),join(X3,meet(X4,X2))) = join(X3,meet(X2,X4)),
inference(substitution,[status(thm)],[c650]) ).
cnf(c652,plain,
join(X3,meet(X2,X4)) = meet(join(X3,X2),join(X3,meet(X4,X2))),
inference(symmetry,[status(thm)],[c651]) ).
cnf(c653,plain,
meet(X4,join(X3,meet(X2,X4))) = meet(X4,meet(join(X3,X2),join(X3,meet(X4,X2)))),
inference(congruence,[status(thm)],[c652]) ).
cnf(c654,plain,
meet(meet(X4,join(X3,X2)),join(X3,meet(X4,X2))) = meet(X4,meet(join(X3,X2),join(X3,meet(X4,X2)))),
inference(substitution,[status(thm)],[c18]) ).
cnf(c655,plain,
meet(X4,meet(join(X3,X2),join(X3,meet(X4,X2)))) = meet(meet(X4,join(X3,X2)),join(X3,meet(X4,X2))),
inference(symmetry,[status(thm)],[c654]) ).
cnf(c656,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c657,plain,
join(X3,X2) = join(X2,X3),
inference(symmetry,[status(thm)],[c656]) ).
cnf(c658,plain,
meet(X3,join(X4,X2)) = meet(X3,join(X2,X4)),
inference(congruence,[status(thm)],[c657]) ).
cnf(c659,plain,
join(X4,meet(X3,join(X4,X2))) = join(X4,meet(X3,join(X2,X4))),
inference(congruence,[status(thm)],[c658]) ).
cnf(c660,plain,
meet(X3,join(X2,meet(X3,join(X2,X4)))) = meet(X3,join(X2,X4)),
inference(substitution,[status(thm)],[c361]) ).
cnf(c661,plain,
meet(X3,join(X2,X4)) = meet(X3,join(X2,meet(X3,join(X2,X4)))),
inference(symmetry,[status(thm)],[c660]) ).
cnf(c662,plain,
join(X4,meet(X3,join(X2,X4))) = join(X4,meet(X3,join(X2,meet(X3,join(X2,X4))))),
inference(congruence,[status(thm)],[c661]) ).
cnf(c663,plain,
meet(X3,meet(X4,X2)) = meet(X4,meet(X3,X2)),
inference(symmetry,[status(thm)],[c198]) ).
cnf(c664,plain,
join(X5,meet(X3,meet(X4,X2))) = join(X5,meet(X4,meet(X3,X2))),
inference(congruence,[status(thm)],[c663]) ).
cnf(c665,plain,
meet(join(X5,X4),join(X5,meet(X3,meet(X4,X2)))) = meet(join(X5,X4),join(X5,meet(X4,meet(X3,X2)))),
inference(congruence,[status(thm)],[c664]) ).
cnf(c666,plain,
meet(join(X5,X4),join(X5,meet(X4,meet(X3,X2)))) = join(X5,meet(X4,meet(X3,X2))),
inference(substitution,[status(thm)],[c131]) ).
cnf(c667,plain,
meet(join(X5,X4),join(X5,meet(X3,meet(X4,X2)))) = join(X5,meet(X4,meet(X3,X2))),
inference(transitivity,[status(thm)],[c665,c666]) ).
cnf(c668,plain,
meet(join(X4,X3),join(X4,meet(join(X4,X3),meet(X3,X2)))) = join(X4,meet(X3,meet(join(X4,X3),X2))),
inference(substitution,[status(thm)],[c667]) ).
cnf(c669,plain,
join(X4,meet(X3,meet(join(X4,X3),X2))) = meet(join(X4,X3),join(X4,meet(join(X4,X3),meet(X3,X2)))),
inference(symmetry,[status(thm)],[c668]) ).
cnf(c670,plain,
meet(X2,join(X4,X3)) = meet(join(X4,X3),X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c671,plain,
meet(join(X4,X3),X2) = meet(X2,join(X4,X3)),
inference(symmetry,[status(thm)],[c670]) ).
cnf(c672,plain,
join(X4,meet(join(X4,X3),X2)) = join(X4,meet(X2,join(X4,X3))),
inference(congruence,[status(thm)],[c671]) ).
cnf(c673,plain,
meet(join(X4,X3),join(X4,meet(join(X4,X3),X2))) = meet(join(X4,X3),join(X4,meet(X2,join(X4,X3)))),
inference(congruence,[status(thm)],[c672]) ).
cnf(c674,plain,
meet(join(X4,X3),join(X4,meet(join(X4,X3),X2))) = join(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c673,c331]) ).
cnf(c675,plain,
meet(join(X4,X3),join(X4,meet(join(X4,X3),meet(X3,X2)))) = join(X4,meet(meet(X3,X2),join(X4,X3))),
inference(substitution,[status(thm)],[c674]) ).
cnf(c676,plain,
meet(meet(X3,X2),join(X4,X3)) = meet(X3,meet(X2,join(X4,X3))),
inference(substitution,[status(thm)],[c18]) ).
cnf(c677,plain,
join(X4,meet(meet(X3,X2),join(X4,X3))) = join(X4,meet(X3,meet(X2,join(X4,X3)))),
inference(congruence,[status(thm)],[c676]) ).
cnf(c678,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c679,plain,
join(X3,X2) = join(X2,X3),
inference(symmetry,[status(thm)],[c678]) ).
cnf(c680,plain,
meet(X2,join(X4,X3)) = meet(X2,join(X3,X4)),
inference(congruence,[status(thm)],[c679]) ).
cnf(c681,plain,
meet(X3,meet(X2,join(X4,X3))) = meet(X3,meet(X2,join(X3,X4))),
inference(congruence,[status(thm)],[c680]) ).
cnf(c682,plain,
join(X4,meet(X3,meet(X2,join(X4,X3)))) = join(X4,meet(X3,meet(X2,join(X3,X4)))),
inference(congruence,[status(thm)],[c681]) ).
cnf(c683,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c5]) ).
cnf(c684,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c683]) ).
cnf(c685,plain,
join(X3,meet(X2,X3)) = join(X3,meet(X3,X2)),
inference(congruence,[status(thm)],[c684]) ).
cnf(c686,plain,
meet(join(X4,meet(X3,X4)),X2) = meet(join(X4,meet(X4,X3)),X2),
inference(congruence,[status(thm)],[c685]) ).
cnf(c687,plain,
meet(join(X4,meet(X3,X4)),X2) = meet(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c686,c224]) ).
cnf(c688,plain,
meet(join(X3,meet(X4,X3)),X2) = meet(X3,meet(X2,join(X3,X4))),
inference(substitution,[status(thm)],[c687]) ).
cnf(c689,plain,
meet(X3,meet(X2,join(X3,X4))) = meet(join(X3,meet(X4,X3)),X2),
inference(symmetry,[status(thm)],[c688]) ).
cnf(c690,plain,
join(X4,meet(X3,meet(X2,join(X3,X4)))) = join(X4,meet(join(X3,meet(X4,X3)),X2)),
inference(congruence,[status(thm)],[c689]) ).
cnf(c691,plain,
meet(X2,join(X3,meet(X4,X3))) = meet(join(X3,meet(X4,X3)),X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c692,plain,
meet(join(X3,meet(X4,X3)),X2) = meet(X2,join(X3,meet(X4,X3))),
inference(symmetry,[status(thm)],[c691]) ).
cnf(c693,plain,
join(X4,meet(join(X3,meet(X4,X3)),X2)) = join(X4,meet(X2,join(X3,meet(X4,X3)))),
inference(congruence,[status(thm)],[c692]) ).
cnf(c694,plain,
join(X4,meet(X2,join(X3,meet(X4,X3)))) = join(X4,meet(X2,X3)),
inference(substitution,[status(thm)],[c634]) ).
cnf(c695,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c696,plain,
join(X4,meet(X2,X3)) = join(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c695]) ).
cnf(c697,plain,
join(X4,meet(X2,join(X3,meet(X4,X3)))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c694,c696]) ).
cnf(c698,plain,
join(X4,meet(join(X3,meet(X4,X3)),X2)) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c693,c697]) ).
cnf(c699,plain,
join(X4,meet(X3,meet(X2,join(X3,X4)))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c690,c698]) ).
cnf(c700,plain,
join(X4,meet(X3,meet(X2,join(X4,X3)))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c682,c699]) ).
cnf(c701,plain,
join(X4,meet(meet(X3,X2),join(X4,X3))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c677,c700]) ).
cnf(c702,plain,
meet(join(X4,X3),join(X4,meet(join(X4,X3),meet(X3,X2)))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c675,c701]) ).
cnf(c703,plain,
join(X4,meet(X3,meet(join(X4,X3),X2))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c669,c702]) ).
cnf(c704,plain,
join(X4,meet(X3,meet(join(X4,X3),join(X2,meet(X3,join(X2,X4)))))) = join(X4,meet(X3,join(X2,meet(X3,join(X2,X4))))),
inference(substitution,[status(thm)],[c703]) ).
cnf(c705,plain,
join(X4,meet(X3,join(X2,meet(X3,join(X2,X4))))) = join(X4,meet(X3,meet(join(X4,X3),join(X2,meet(X3,join(X2,X4)))))),
inference(symmetry,[status(thm)],[c704]) ).
cnf(c706,plain,
meet(X2,join(X4,X3)) = meet(join(X4,X3),X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c707,plain,
meet(join(X4,X3),X2) = meet(X2,join(X4,X3)),
inference(symmetry,[status(thm)],[c706]) ).
cnf(c708,plain,
join(X4,meet(join(X4,X3),X2)) = join(X4,meet(X2,join(X4,X3))),
inference(congruence,[status(thm)],[c707]) ).
cnf(c709,plain,
join(X4,meet(X2,join(X4,X3))) = join(X4,meet(X3,join(X4,X2))),
inference(substitution,[status(thm)],[c413]) ).
cnf(c710,plain,
join(X4,meet(join(X4,X3),X2)) = join(X4,meet(X3,join(X4,X2))),
inference(transitivity,[status(thm)],[c708,c709]) ).
cnf(c711,plain,
join(X2,meet(join(X2,X3),X4)) = join(X2,meet(X3,join(X2,X4))),
inference(substitution,[status(thm)],[c710]) ).
cnf(c712,plain,
join(X2,meet(X3,join(X2,X4))) = join(X2,meet(join(X2,X3),X4)),
inference(symmetry,[status(thm)],[c711]) ).
cnf(c713,plain,
meet(join(X4,X3),join(X2,meet(X3,join(X2,X4)))) = meet(join(X4,X3),join(X2,meet(join(X2,X3),X4))),
inference(congruence,[status(thm)],[c712]) ).
cnf(c714,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c715,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c714]) ).
cnf(c716,plain,
meet(join(X2,X3),X4) = meet(join(X3,X2),X4),
inference(congruence,[status(thm)],[c715]) ).
cnf(c717,plain,
join(X2,meet(join(X2,X3),X4)) = join(X2,meet(join(X3,X2),X4)),
inference(congruence,[status(thm)],[c716]) ).
cnf(c718,plain,
meet(join(X4,X3),join(X2,meet(join(X2,X3),X4))) = meet(join(X4,X3),join(X2,meet(join(X3,X2),X4))),
inference(congruence,[status(thm)],[c717]) ).
cnf(c719,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c5]) ).
cnf(c720,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c719]) ).
cnf(c721,plain,
join(meet(X3,X4),X2) = join(meet(X4,X3),X2),
inference(congruence,[status(thm)],[c720]) ).
cnf(c722,plain,
meet(X4,join(meet(X3,X4),X2)) = meet(X4,join(meet(X4,X3),X2)),
inference(congruence,[status(thm)],[c721]) ).
cnf(c723,plain,
join(X2,meet(X4,X3)) = join(meet(X4,X3),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c724,plain,
join(meet(X4,X3),X2) = join(X2,meet(X4,X3)),
inference(symmetry,[status(thm)],[c723]) ).
cnf(c725,plain,
meet(X4,join(meet(X4,X3),X2)) = meet(X4,join(X2,meet(X4,X3))),
inference(congruence,[status(thm)],[c724]) ).
cnf(c726,plain,
meet(X4,join(X2,meet(X4,X3))) = join(meet(X4,X3),meet(X4,X2)),
inference(substitution,[status(thm)],[c643]) ).
cnf(c727,plain,
meet(X4,join(meet(X4,X3),X2)) = join(meet(X4,X3),meet(X4,X2)),
inference(transitivity,[status(thm)],[c725,c726]) ).
cnf(c728,plain,
meet(X4,join(meet(X3,X4),X2)) = join(meet(X4,X3),meet(X4,X2)),
inference(transitivity,[status(thm)],[c722,c727]) ).
cnf(c729,plain,
meet(X2,join(meet(X3,X2),X4)) = join(meet(X2,X3),meet(X2,X4)),
inference(substitution,[status(thm)],[c728]) ).
cnf(c730,plain,
join(meet(X4,X3),meet(X2,join(meet(X3,X2),X4))) = join(meet(X4,X3),join(meet(X2,X3),meet(X2,X4))),
inference(congruence,[status(thm)],[c729]) ).
cnf(c731,plain,
join(meet(X2,X3),meet(X2,X4)) = join(meet(X2,X4),meet(X2,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c732,plain,
join(meet(X4,X3),join(meet(X2,X3),meet(X2,X4))) = join(meet(X4,X3),join(meet(X2,X4),meet(X2,X3))),
inference(congruence,[status(thm)],[c731]) ).
cnf(c733,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c734,plain,
join(meet(X2,X4),meet(X2,X3)) = join(meet(X4,X2),meet(X2,X3)),
inference(congruence,[status(thm)],[c733]) ).
cnf(c735,plain,
join(meet(X4,X3),join(meet(X2,X4),meet(X2,X3))) = join(meet(X4,X3),join(meet(X4,X2),meet(X2,X3))),
inference(congruence,[status(thm)],[c734]) ).
cnf(c736,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c737,plain,
join(meet(X4,X2),meet(X2,X3)) = join(meet(X4,X2),meet(X3,X2)),
inference(congruence,[status(thm)],[c736]) ).
cnf(c738,plain,
join(meet(X4,X3),join(meet(X4,X2),meet(X2,X3))) = join(meet(X4,X3),join(meet(X4,X2),meet(X3,X2))),
inference(congruence,[status(thm)],[c737]) ).
cnf(c739,plain,
join(meet(X4,X3),join(meet(X2,X4),meet(X2,X3))) = join(meet(X4,X3),join(meet(X4,X2),meet(X3,X2))),
inference(transitivity,[status(thm)],[c735,c738]) ).
cnf(c740,plain,
join(meet(X4,X3),join(meet(X2,X3),meet(X2,X4))) = join(meet(X4,X3),join(meet(X4,X2),meet(X3,X2))),
inference(transitivity,[status(thm)],[c732,c739]) ).
cnf(c741,plain,
join(meet(X4,X3),meet(X2,join(meet(X3,X2),X4))) = join(meet(X4,X3),join(meet(X4,X2),meet(X3,X2))),
inference(transitivity,[status(thm)],[c730,c740]) ).
cnf(c742,plain,
meet(join(X4,X3),join(X2,meet(join(X3,X2),X4))) = join(meet(X4,X3),join(meet(X4,X2),meet(X3,X2))),
inference(transitivity,[status(thm)],[c117,c741]) ).
cnf(c743,plain,
meet(join(X4,X3),join(X2,meet(join(X2,X3),X4))) = join(meet(X4,X3),join(meet(X4,X2),meet(X3,X2))),
inference(transitivity,[status(thm)],[c718,c742]) ).
cnf(c744,plain,
meet(join(X4,X3),join(X2,meet(X3,join(X2,X4)))) = join(meet(X4,X3),join(meet(X4,X2),meet(X3,X2))),
inference(transitivity,[status(thm)],[c713,c743]) ).
cnf(c745,plain,
meet(X3,meet(join(X4,X3),join(X2,meet(X3,join(X2,X4))))) = meet(X3,join(meet(X4,X3),join(meet(X4,X2),meet(X3,X2)))),
inference(congruence,[status(thm)],[c744]) ).
cnf(c746,plain,
join(X4,meet(X3,meet(join(X4,X3),join(X2,meet(X3,join(X2,X4)))))) = join(X4,meet(X3,join(meet(X4,X3),join(meet(X4,X2),meet(X3,X2))))),
inference(congruence,[status(thm)],[c745]) ).
cnf(c747,plain,
meet(X3,join(meet(X4,X3),join(meet(X4,X2),meet(X3,X2)))) = join(meet(X3,X4),meet(X3,join(meet(X4,X2),meet(X3,X2)))),
inference(substitution,[status(thm)],[c728]) ).
cnf(c748,plain,
join(X4,meet(X3,join(meet(X4,X3),join(meet(X4,X2),meet(X3,X2))))) = join(X4,join(meet(X3,X4),meet(X3,join(meet(X4,X2),meet(X3,X2))))),
inference(congruence,[status(thm)],[c747]) ).
cnf(c749,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c5]) ).
cnf(c750,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c749]) ).
cnf(c751,plain,
join(meet(X3,X4),meet(X3,X2)) = join(meet(X4,X3),meet(X3,X2)),
inference(congruence,[status(thm)],[c750]) ).
cnf(c752,plain,
join(X4,join(meet(X3,X4),meet(X3,X2))) = join(X4,join(meet(X4,X3),meet(X3,X2))),
inference(congruence,[status(thm)],[c751]) ).
cnf(c753,plain,
join(X4,join(meet(X3,X4),meet(X3,X2))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c752,c170]) ).
cnf(c754,plain,
join(X4,join(meet(X3,X4),meet(X3,join(meet(X4,X2),meet(X3,X2))))) = join(X4,meet(X3,join(meet(X4,X2),meet(X3,X2)))),
inference(substitution,[status(thm)],[c753]) ).
cnf(c755,plain,
meet(X3,join(meet(X4,X2),meet(X3,X2))) = join(meet(X3,X2),meet(X3,meet(X4,X2))),
inference(substitution,[status(thm)],[c643]) ).
cnf(c756,plain,
join(X4,meet(X3,join(meet(X4,X2),meet(X3,X2)))) = join(X4,join(meet(X3,X2),meet(X3,meet(X4,X2)))),
inference(congruence,[status(thm)],[c755]) ).
cnf(c757,plain,
meet(X2,meet(X4,X3)) = meet(X4,meet(X2,X3)),
inference(substitution,[status(thm)],[c198]) ).
cnf(c758,plain,
meet(X4,meet(X2,X3)) = meet(X2,meet(X4,X3)),
inference(symmetry,[status(thm)],[c757]) ).
cnf(c759,plain,
join(meet(X4,X3),meet(X4,meet(X2,X3))) = join(meet(X4,X3),meet(X2,meet(X4,X3))),
inference(congruence,[status(thm)],[c758]) ).
cnf(c760,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c761,plain,
join(X3,meet(X2,X3)) = join(X3,meet(X3,X2)),
inference(congruence,[status(thm)],[c760]) ).
cnf(c762,plain,
meet(X4,join(X3,meet(X2,X3))) = meet(X4,join(X3,meet(X3,X2))),
inference(congruence,[status(thm)],[c761]) ).
cnf(c763,plain,
join(meet(X4,X3),meet(X2,meet(X4,X3))) = meet(X4,join(X3,meet(X3,X2))),
inference(transitivity,[status(thm)],[c559,c762]) ).
cnf(c764,plain,
join(meet(X4,X3),meet(X4,meet(X2,X3))) = meet(X4,join(X3,meet(X3,X2))),
inference(transitivity,[status(thm)],[c759,c763]) ).
cnf(c765,plain,
join(meet(X3,X2),meet(X3,meet(X4,X2))) = meet(X3,join(X2,meet(X2,X4))),
inference(substitution,[status(thm)],[c764]) ).
cnf(c766,plain,
join(X4,join(meet(X3,X2),meet(X3,meet(X4,X2)))) = join(X4,meet(X3,join(X2,meet(X2,X4)))),
inference(congruence,[status(thm)],[c765]) ).
cnf(c767,plain,
join(X4,join(meet(X3,X2),meet(X3,meet(X4,X2)))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c766,c635]) ).
cnf(c768,plain,
join(X4,meet(X3,join(meet(X4,X2),meet(X3,X2)))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c756,c767]) ).
cnf(c769,plain,
join(X4,join(meet(X3,X4),meet(X3,join(meet(X4,X2),meet(X3,X2))))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c754,c768]) ).
cnf(c770,plain,
join(X4,meet(X3,join(meet(X4,X3),join(meet(X4,X2),meet(X3,X2))))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c748,c769]) ).
cnf(c771,plain,
join(X4,meet(X3,meet(join(X4,X3),join(X2,meet(X3,join(X2,X4)))))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c746,c770]) ).
cnf(c772,plain,
join(X4,meet(X3,join(X2,meet(X3,join(X2,X4))))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c705,c771]) ).
cnf(c773,plain,
join(X4,meet(X3,join(X2,X4))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c662,c772]) ).
cnf(c774,plain,
join(X4,meet(X3,join(X4,X2))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c659,c773]) ).
cnf(c775,plain,
join(X3,meet(X4,join(X3,X2))) = join(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c774]) ).
cnf(c776,plain,
join(X3,meet(X4,X2)) = join(X3,meet(X4,join(X3,X2))),
inference(symmetry,[status(thm)],[c775]) ).
cnf(c777,plain,
meet(meet(X4,join(X3,X2)),join(X3,meet(X4,X2))) = meet(meet(X4,join(X3,X2)),join(X3,meet(X4,join(X3,X2)))),
inference(congruence,[status(thm)],[c776]) ).
cnf(c778,plain,
meet(meet(X4,join(X3,X2)),join(X3,meet(X4,join(X3,X2)))) = join(meet(X4,join(X3,X2)),meet(meet(X4,join(X3,X2)),X3)),
inference(substitution,[status(thm)],[c251]) ).
cnf(c779,plain,
meet(meet(X4,join(X3,X2)),X3) = meet(X4,meet(join(X3,X2),X3)),
inference(substitution,[status(thm)],[c18]) ).
cnf(c780,plain,
join(meet(X4,join(X3,X2)),meet(meet(X4,join(X3,X2)),X3)) = join(meet(X4,join(X3,X2)),meet(X4,meet(join(X3,X2),X3))),
inference(congruence,[status(thm)],[c779]) ).
cnf(c781,plain,
meet(meet(X4,X3),X2) = meet(X4,meet(X3,X2)),
inference(substitution,[status(thm)],[c18]) ).
cnf(c782,plain,
meet(X4,meet(X3,X2)) = meet(meet(X4,X3),X2),
inference(symmetry,[status(thm)],[c781]) ).
cnf(c783,plain,
join(meet(X4,X3),meet(X4,meet(X3,X2))) = join(meet(X4,X3),meet(meet(X4,X3),X2)),
inference(congruence,[status(thm)],[c782]) ).
cnf(c784,plain,
meet(X2,meet(X4,X3)) = meet(meet(X4,X3),X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c785,plain,
meet(meet(X4,X3),X2) = meet(X2,meet(X4,X3)),
inference(symmetry,[status(thm)],[c784]) ).
cnf(c786,plain,
join(meet(X4,X3),meet(meet(X4,X3),X2)) = join(meet(X4,X3),meet(X2,meet(X4,X3))),
inference(congruence,[status(thm)],[c785]) ).
cnf(c787,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c788,plain,
join(X3,meet(X2,X3)) = join(X3,meet(X3,X2)),
inference(congruence,[status(thm)],[c787]) ).
cnf(c789,plain,
meet(X4,join(X3,meet(X2,X3))) = meet(X4,join(X3,meet(X3,X2))),
inference(congruence,[status(thm)],[c788]) ).
cnf(c790,plain,
join(meet(X4,X3),meet(X2,meet(X4,X3))) = meet(X4,join(X3,meet(X3,X2))),
inference(transitivity,[status(thm)],[c559,c789]) ).
cnf(c791,plain,
join(meet(X4,X3),meet(meet(X4,X3),X2)) = meet(X4,join(X3,meet(X3,X2))),
inference(transitivity,[status(thm)],[c786,c790]) ).
cnf(c792,plain,
join(meet(X4,X3),meet(X4,meet(X3,X2))) = meet(X4,join(X3,meet(X3,X2))),
inference(transitivity,[status(thm)],[c783,c791]) ).
cnf(c793,plain,
join(meet(X4,join(X3,X2)),meet(X4,meet(join(X3,X2),X3))) = meet(X4,join(join(X3,X2),meet(join(X3,X2),X3))),
inference(substitution,[status(thm)],[c792]) ).
cnf(c794,plain,
join(join(X3,X2),meet(join(X3,X2),X3)) = join(X3,join(X2,meet(join(X3,X2),X3))),
inference(substitution,[status(thm)],[c46]) ).
cnf(c795,plain,
meet(X4,join(join(X3,X2),meet(join(X3,X2),X3))) = meet(X4,join(X3,join(X2,meet(join(X3,X2),X3)))),
inference(congruence,[status(thm)],[c794]) ).
cnf(c796,plain,
meet(X2,join(X4,X3)) = meet(join(X4,X3),X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c797,plain,
meet(join(X4,X3),X2) = meet(X2,join(X4,X3)),
inference(symmetry,[status(thm)],[c796]) ).
cnf(c798,plain,
join(X3,meet(join(X4,X3),X2)) = join(X3,meet(X2,join(X4,X3))),
inference(congruence,[status(thm)],[c797]) ).
cnf(c799,plain,
join(X4,join(X3,meet(join(X4,X3),X2))) = join(X4,join(X3,meet(X2,join(X4,X3)))),
inference(congruence,[status(thm)],[c798]) ).
cnf(c800,plain,
join(X4,join(X3,meet(join(X4,X3),X2))) = join(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c799,c180]) ).
cnf(c801,plain,
join(X3,join(X2,meet(join(X3,X2),X3))) = join(X3,join(X2,meet(X3,X3))),
inference(substitution,[status(thm)],[c800]) ).
cnf(c802,plain,
meet(X4,join(X3,join(X2,meet(join(X3,X2),X3)))) = meet(X4,join(X3,join(X2,meet(X3,X3)))),
inference(congruence,[status(thm)],[c801]) ).
cnf(c803,plain,
join(X2,meet(X3,X3)) = join(X2,X3),
inference(congruence,[status(thm)],[c21]) ).
cnf(c804,plain,
join(X3,join(X2,meet(X3,X3))) = join(X3,join(X2,X3)),
inference(congruence,[status(thm)],[c803]) ).
cnf(c805,plain,
meet(X4,join(X3,join(X2,meet(X3,X3)))) = meet(X4,join(X3,join(X2,X3))),
inference(congruence,[status(thm)],[c804]) ).
cnf(c806,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c807,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c806]) ).
cnf(c808,plain,
join(X3,join(X2,X3)) = join(X3,join(X3,X2)),
inference(congruence,[status(thm)],[c807]) ).
cnf(c809,plain,
join(X3,join(X2,X3)) = join(X3,X2),
inference(transitivity,[status(thm)],[c808,c51]) ).
cnf(c810,plain,
meet(X4,join(X3,join(X2,X3))) = meet(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c809]) ).
cnf(c811,plain,
meet(X4,join(X3,join(X2,meet(X3,X3)))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c805,c810]) ).
cnf(c812,plain,
meet(X4,join(X3,join(X2,meet(join(X3,X2),X3)))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c802,c811]) ).
cnf(c813,plain,
meet(X4,join(join(X3,X2),meet(join(X3,X2),X3))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c795,c812]) ).
cnf(c814,plain,
join(meet(X4,join(X3,X2)),meet(X4,meet(join(X3,X2),X3))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c793,c813]) ).
cnf(c815,plain,
join(meet(X4,join(X3,X2)),meet(meet(X4,join(X3,X2)),X3)) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c780,c814]) ).
cnf(c816,plain,
meet(meet(X4,join(X3,X2)),join(X3,meet(X4,join(X3,X2)))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c778,c815]) ).
cnf(c817,plain,
meet(meet(X4,join(X3,X2)),join(X3,meet(X4,X2))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c777,c816]) ).
cnf(c818,plain,
meet(X4,meet(join(X3,X2),join(X3,meet(X4,X2)))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c655,c817]) ).
cnf(c819,plain,
meet(X4,join(X3,meet(X2,X4))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c653,c818]) ).
cnf(c820,plain,
join(meet(X4,X2),meet(X4,X3)) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c645,c819]) ).
cnf(c821,plain,
join(meet(X4,X3),meet(X4,X2)) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c4,c820]) ).
cnf(c822,plain,
join(meet(a,b),meet(a,c)) = meet(a,join(b,c)),
inference(substitution,[status(thm)],[c821]) ).
cnf(c823,plain,
meet(a,join(b,c)) = join(meet(a,b),meet(a,c)),
inference(symmetry,[status(thm)],[c822]) ).
cnf(c824,plain,
$false,
inference(resolution,[status(thm)],[c1,c823]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT020-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n010.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 13:57:01 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.77/4.77 Command-line arguments: --no-flatten-goal
% 29.77/4.77
% 29.77/4.77 % SZS status Unsatisfiable
% 29.77/4.77
% 30.46/4.83 % SZS output start CNFRefutation
% See solution above
% 33.29/5.26
% 33.29/5.26 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------