%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT175-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 11:44:29 AM UTC 2026
% Result : Unsatisfiable 151.21s 19.70s
% Output : CNFRefutation 154.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 9
% Syntax : Number of clauses : 272 ( 272 unt; 0 nHn; 4 RR)
% Number of literals : 272 ( 271 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 907 ( 77 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
meet(a,join(b,meet(a,meet(c,d)))) != meet(a,join(b,meet(c,join(meet(a,d),meet(b,d))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H32) ).
cnf(c2,axiom,
join(X,Y) = join(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
cnf(c3,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
meet(X3,join(X2,X3)) = meet(X3,join(X3,X2)),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,axiom,
meet(X2,join(X2,Y2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
cnf(c7,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,plain,
meet(X3,join(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c5,c7]) ).
cnf(c9,plain,
meet(meet(X3,join(X2,meet(X5,join(meet(X3,X4),meet(X2,X4))))),join(X2,meet(X3,join(X2,meet(X5,join(meet(X3,X4),meet(X2,X4))))))) = meet(X3,join(X2,meet(X5,join(meet(X3,X4),meet(X2,X4))))),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
meet(X5,join(X4,meet(X3,join(meet(X5,X2),meet(X4,X2))))) = meet(meet(X5,join(X4,meet(X3,join(meet(X5,X2),meet(X4,X2))))),join(X4,meet(X5,join(X4,meet(X3,join(meet(X5,X2),meet(X4,X2))))))),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c12,plain,
join(X3,X2) = join(X2,X3),
inference(symmetry,[status(thm)],[c11]) ).
cnf(c13,plain,
meet(meet(X5,join(meet(X4,X3),meet(X2,X6))),join(X4,X2)) = meet(meet(X5,join(meet(X4,X3),meet(X2,X6))),join(X2,X4)),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,plain,
join(meet(X4,X2),X3) = join(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c15,plain,
join(X3,meet(X4,X2)) = join(meet(X4,X2),X3),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c16,plain,
join(X4,join(X3,meet(X4,X2))) = join(X4,join(meet(X4,X2),X3)),
inference(congruence,[status(thm)],[c15]) ).
cnf(c17,axiom,
join(join(X2,Y2),Z) = join(X2,join(Y2,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
cnf(c18,plain,
join(join(X4,meet(X4,X2)),X3) = join(X4,join(meet(X4,X2),X3)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
join(X4,join(meet(X4,X2),X3)) = join(join(X4,meet(X4,X2)),X3),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,axiom,
join(X2,meet(X2,Y2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
cnf(c21,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c20]) ).
cnf(c22,plain,
join(join(X4,meet(X4,X2)),X3) = join(X4,X3),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c24,plain,
join(join(X4,meet(X4,X2)),X3) = join(X3,X4),
inference(transitivity,[status(thm)],[c22,c23]) ).
cnf(c25,plain,
join(X4,join(meet(X4,X2),X3)) = join(X3,X4),
inference(transitivity,[status(thm)],[c19,c24]) ).
cnf(c26,plain,
join(X4,join(X3,meet(X4,X2))) = join(X3,X4),
inference(transitivity,[status(thm)],[c16,c25]) ).
cnf(c27,plain,
join(X4,join(X2,meet(X4,X3))) = join(X2,X4),
inference(substitution,[status(thm)],[c26]) ).
cnf(c28,plain,
join(X2,X4) = join(X4,join(X2,meet(X4,X3))),
inference(symmetry,[status(thm)],[c27]) ).
cnf(c29,plain,
meet(meet(X6,join(meet(X5,X4),meet(X3,X2))),join(X3,X5)) = meet(meet(X6,join(meet(X5,X4),meet(X3,X2))),join(X5,join(X3,meet(X5,X4)))),
inference(congruence,[status(thm)],[c28]) ).
cnf(c30,plain,
join(join(X4,X2),X3) = join(X3,join(X4,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c31,plain,
join(X3,join(X4,X2)) = join(join(X4,X2),X3),
inference(symmetry,[status(thm)],[c30]) ).
cnf(c32,plain,
join(join(X4,X2),X3) = join(X4,join(X2,X3)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c33,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c34,plain,
join(X4,join(X2,X3)) = join(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c33]) ).
cnf(c35,plain,
join(join(X4,X2),X3) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c32,c34]) ).
cnf(c36,plain,
join(X3,join(X4,X2)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c31,c35]) ).
cnf(c37,plain,
join(X4,join(X3,meet(X4,X2))) = join(X3,join(X4,meet(X4,X2))),
inference(substitution,[status(thm)],[c36]) ).
cnf(c38,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c20]) ).
cnf(c39,plain,
join(X3,join(X4,meet(X4,X2))) = join(X3,X4),
inference(congruence,[status(thm)],[c38]) ).
cnf(c40,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c41,plain,
join(X3,join(X4,meet(X4,X2))) = join(X4,X3),
inference(transitivity,[status(thm)],[c39,c40]) ).
cnf(c42,plain,
join(X4,join(X3,meet(X4,X2))) = join(X4,X3),
inference(transitivity,[status(thm)],[c37,c41]) ).
cnf(c43,plain,
join(X3,join(X4,meet(X3,X2))) = join(X3,X4),
inference(substitution,[status(thm)],[c42]) ).
cnf(c44,plain,
join(X3,X4) = join(X3,join(X4,meet(X3,X2))),
inference(symmetry,[status(thm)],[c43]) ).
cnf(c45,plain,
join(X2,join(X4,X5)) = join(X2,join(X4,join(X5,meet(X4,X3)))),
inference(congruence,[status(thm)],[c44]) ).
cnf(c46,plain,
meet(meet(X6,join(X5,meet(X4,X3))),join(X2,join(X4,X5))) = meet(meet(X6,join(X5,meet(X4,X3))),join(X2,join(X4,join(X5,meet(X4,X3))))),
inference(congruence,[status(thm)],[c45]) ).
cnf(c47,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c48,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c47]) ).
cnf(c49,plain,
join(X3,join(X2,X4)) = join(X3,join(X4,X2)),
inference(congruence,[status(thm)],[c48]) ).
cnf(c50,plain,
meet(meet(X5,X4),join(X3,join(X2,X4))) = meet(meet(X5,X4),join(X3,join(X4,X2))),
inference(congruence,[status(thm)],[c49]) ).
cnf(c51,axiom,
meet(X2,Y2) = meet(Y2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
cnf(c52,plain,
meet(join(X3,join(X4,X2)),meet(X5,X4)) = meet(meet(X5,X4),join(X3,join(X4,X2))),
inference(substitution,[status(thm)],[c51]) ).
cnf(c53,plain,
meet(meet(X5,X4),join(X3,join(X4,X2))) = meet(join(X3,join(X4,X2)),meet(X5,X4)),
inference(symmetry,[status(thm)],[c52]) ).
cnf(c54,plain,
meet(meet(X4,X2),X3) = meet(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c51]) ).
cnf(c55,plain,
meet(X3,meet(X4,X2)) = meet(meet(X4,X2),X3),
inference(symmetry,[status(thm)],[c54]) ).
cnf(c56,axiom,
meet(meet(X2,Y2),Z2) = meet(X2,meet(Y2,Z2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
cnf(c57,plain,
meet(meet(X4,X2),X3) = meet(X4,meet(X2,X3)),
inference(substitution,[status(thm)],[c56]) ).
cnf(c58,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c51]) ).
cnf(c59,plain,
meet(X4,meet(X2,X3)) = meet(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c58]) ).
cnf(c60,plain,
meet(meet(X4,X2),X3) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c57,c59]) ).
cnf(c61,plain,
meet(X3,meet(X4,X2)) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c55,c60]) ).
cnf(c62,plain,
meet(X2,meet(X4,X3)) = meet(X4,meet(X2,X3)),
inference(substitution,[status(thm)],[c61]) ).
cnf(c63,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c51]) ).
cnf(c64,plain,
meet(X4,meet(X2,X3)) = meet(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c63]) ).
cnf(c65,plain,
meet(X2,meet(X4,X3)) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c62,c64]) ).
cnf(c66,plain,
meet(join(X3,join(X4,X2)),meet(X5,X4)) = meet(X5,meet(X4,join(X3,join(X4,X2)))),
inference(substitution,[status(thm)],[c65]) ).
cnf(c67,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c68,plain,
join(X3,X2) = join(X2,X3),
inference(symmetry,[status(thm)],[c67]) ).
cnf(c69,plain,
join(X3,join(X4,X2)) = join(X3,join(X2,X4)),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,plain,
meet(X4,join(X3,join(X4,X2))) = meet(X4,join(X3,join(X2,X4))),
inference(congruence,[status(thm)],[c69]) ).
cnf(c71,plain,
join(join(X3,X2),X4) = join(X3,join(X2,X4)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c72,plain,
join(X3,join(X2,X4)) = join(join(X3,X2),X4),
inference(symmetry,[status(thm)],[c71]) ).
cnf(c73,plain,
meet(X4,join(X3,join(X2,X4))) = meet(X4,join(join(X3,X2),X4)),
inference(congruence,[status(thm)],[c72]) ).
cnf(c74,plain,
meet(X4,join(join(X3,X2),X4)) = X4,
inference(substitution,[status(thm)],[c8]) ).
cnf(c75,plain,
meet(X4,join(X3,join(X2,X4))) = X4,
inference(transitivity,[status(thm)],[c73,c74]) ).
cnf(c76,plain,
meet(X4,join(X3,join(X4,X2))) = X4,
inference(transitivity,[status(thm)],[c70,c75]) ).
cnf(c77,plain,
meet(X5,meet(X4,join(X3,join(X4,X2)))) = meet(X5,X4),
inference(congruence,[status(thm)],[c76]) ).
cnf(c78,plain,
meet(join(X3,join(X4,X2)),meet(X5,X4)) = meet(X5,X4),
inference(transitivity,[status(thm)],[c66,c77]) ).
cnf(c79,plain,
meet(meet(X5,X4),join(X3,join(X4,X2))) = meet(X5,X4),
inference(transitivity,[status(thm)],[c53,c78]) ).
cnf(c80,plain,
meet(meet(X5,X4),join(X3,join(X2,X4))) = meet(X5,X4),
inference(transitivity,[status(thm)],[c50,c79]) ).
cnf(c81,plain,
meet(meet(X6,join(X5,meet(X4,X3))),join(X2,join(X4,join(X5,meet(X4,X3))))) = meet(X6,join(X5,meet(X4,X3))),
inference(substitution,[status(thm)],[c80]) ).
cnf(c82,plain,
meet(meet(X6,join(X5,meet(X4,X3))),join(X2,join(X4,X5))) = meet(X6,join(X5,meet(X4,X3))),
inference(transitivity,[status(thm)],[c46,c81]) ).
cnf(c83,plain,
meet(meet(X6,join(meet(X5,X4),meet(X3,X2))),join(X5,join(X3,meet(X5,X4)))) = meet(X6,join(meet(X5,X4),meet(X3,X2))),
inference(substitution,[status(thm)],[c82]) ).
cnf(c84,plain,
meet(meet(X6,join(meet(X5,X4),meet(X3,X2))),join(X3,X5)) = meet(X6,join(meet(X5,X4),meet(X3,X2))),
inference(transitivity,[status(thm)],[c29,c83]) ).
cnf(c85,plain,
meet(meet(X6,join(meet(X5,X4),meet(X3,X2))),join(X5,X3)) = meet(X6,join(meet(X5,X4),meet(X3,X2))),
inference(transitivity,[status(thm)],[c13,c84]) ).
cnf(c86,plain,
meet(meet(X3,join(meet(X4,X2),meet(X5,X2))),join(X4,X5)) = meet(X3,join(meet(X4,X2),meet(X5,X2))),
inference(substitution,[status(thm)],[c85]) ).
cnf(c87,plain,
meet(X3,join(meet(X4,X2),meet(X5,X2))) = meet(meet(X3,join(meet(X4,X2),meet(X5,X2))),join(X4,X5)),
inference(symmetry,[status(thm)],[c86]) ).
cnf(c88,plain,
join(X5,meet(X3,join(meet(X4,X2),meet(X5,X2)))) = join(X5,meet(meet(X3,join(meet(X4,X2),meet(X5,X2))),join(X4,X5))),
inference(congruence,[status(thm)],[c87]) ).
cnf(c89,plain,
meet(X4,join(X5,meet(X3,join(meet(X4,X2),meet(X5,X2))))) = meet(X4,join(X5,meet(meet(X3,join(meet(X4,X2),meet(X5,X2))),join(X4,X5)))),
inference(congruence,[status(thm)],[c88]) ).
cnf(c90,plain,
join(X5,meet(X4,join(X5,meet(X3,join(meet(X4,X2),meet(X5,X2)))))) = join(X5,meet(X4,join(X5,meet(meet(X3,join(meet(X4,X2),meet(X5,X2))),join(X4,X5))))),
inference(congruence,[status(thm)],[c89]) ).
cnf(c91,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c92,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c91]) ).
cnf(c93,plain,
meet(X2,join(X3,X4)) = meet(X2,join(X4,X3)),
inference(congruence,[status(thm)],[c92]) ).
cnf(c94,plain,
join(X4,meet(X2,join(X3,X4))) = join(X4,meet(X2,join(X4,X3))),
inference(congruence,[status(thm)],[c93]) ).
cnf(c95,plain,
meet(X3,join(X4,meet(X2,join(X3,X4)))) = meet(X3,join(X4,meet(X2,join(X4,X3)))),
inference(congruence,[status(thm)],[c94]) ).
cnf(c96,plain,
join(X4,meet(X3,join(X4,meet(X2,join(X3,X4))))) = join(X4,meet(X3,join(X4,meet(X2,join(X4,X3))))),
inference(congruence,[status(thm)],[c95]) ).
cnf(c97,plain,
meet(join(X4,meet(X2,join(X4,X3))),X3) = meet(X3,join(X4,meet(X2,join(X4,X3)))),
inference(substitution,[status(thm)],[c51]) ).
cnf(c98,plain,
meet(X3,join(X4,meet(X2,join(X4,X3)))) = meet(join(X4,meet(X2,join(X4,X3))),X3),
inference(symmetry,[status(thm)],[c97]) ).
cnf(c99,plain,
join(X4,meet(X3,join(X4,meet(X2,join(X4,X3))))) = join(X4,meet(join(X4,meet(X2,join(X4,X3))),X3)),
inference(congruence,[status(thm)],[c98]) ).
cnf(c100,axiom,
join(X2,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c101,plain,
X2 = join(X2,X2),
inference(symmetry,[status(thm)],[c100]) ).
cnf(c102,plain,
meet(join(X4,meet(X2,join(X4,X3))),X3) = meet(join(X4,meet(X2,join(X4,X3))),join(X3,X3)),
inference(congruence,[status(thm)],[c101]) ).
cnf(c103,plain,
join(X4,meet(join(X4,meet(X2,join(X4,X3))),X3)) = join(X4,meet(join(X4,meet(X2,join(X4,X3))),join(X3,X3))),
inference(congruence,[status(thm)],[c102]) ).
cnf(c104,axiom,
join(X2,meet(Y2,join(Z2,meet(X2,U)))) = join(X2,meet(join(X2,meet(Y2,join(X2,Z2))),join(Z2,U))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H79_dual) ).
cnf(c105,plain,
join(X4,meet(X2,join(X3,meet(X4,X3)))) = join(X4,meet(join(X4,meet(X2,join(X4,X3))),join(X3,X3))),
inference(substitution,[status(thm)],[c104]) ).
cnf(c106,plain,
join(X4,meet(join(X4,meet(X2,join(X4,X3))),join(X3,X3))) = join(X4,meet(X2,join(X3,meet(X4,X3)))),
inference(symmetry,[status(thm)],[c105]) ).
cnf(c107,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c51]) ).
cnf(c108,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c107]) ).
cnf(c109,plain,
join(X3,meet(X2,X3)) = join(X3,meet(X3,X2)),
inference(congruence,[status(thm)],[c108]) ).
cnf(c110,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c20]) ).
cnf(c111,plain,
join(X3,meet(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c109,c110]) ).
cnf(c112,plain,
join(X2,meet(X3,X2)) = X2,
inference(substitution,[status(thm)],[c111]) ).
cnf(c113,plain,
meet(X2,join(X3,meet(X4,X3))) = meet(X2,X3),
inference(congruence,[status(thm)],[c112]) ).
cnf(c114,plain,
join(X4,meet(X2,join(X3,meet(X4,X3)))) = join(X4,meet(X2,X3)),
inference(congruence,[status(thm)],[c113]) ).
cnf(c115,plain,
join(X4,meet(join(X4,meet(X2,join(X4,X3))),join(X3,X3))) = join(X4,meet(X2,X3)),
inference(transitivity,[status(thm)],[c106,c114]) ).
cnf(c116,plain,
join(X4,meet(join(X4,meet(X2,join(X4,X3))),X3)) = join(X4,meet(X2,X3)),
inference(transitivity,[status(thm)],[c103,c115]) ).
cnf(c117,plain,
join(X4,meet(X3,join(X4,meet(X2,join(X4,X3))))) = join(X4,meet(X2,X3)),
inference(transitivity,[status(thm)],[c99,c116]) ).
cnf(c118,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c51]) ).
cnf(c119,plain,
join(X4,meet(X2,X3)) = join(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c118]) ).
cnf(c120,plain,
join(X4,meet(X3,join(X4,meet(X2,join(X4,X3))))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c117,c119]) ).
cnf(c121,plain,
join(X4,meet(X3,join(X4,meet(X2,join(X3,X4))))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c96,c120]) ).
cnf(c122,plain,
join(X5,meet(X4,join(X5,meet(meet(X3,join(meet(X4,X2),meet(X5,X2))),join(X4,X5))))) = join(X5,meet(X4,meet(X3,join(meet(X4,X2),meet(X5,X2))))),
inference(substitution,[status(thm)],[c121]) ).
cnf(c123,plain,
meet(X4,meet(X2,X3)) = meet(X2,meet(X3,X4)),
inference(substitution,[status(thm)],[c65]) ).
cnf(c124,plain,
meet(X2,meet(X3,X4)) = meet(X4,meet(X2,X3)),
inference(symmetry,[status(thm)],[c123]) ).
cnf(c125,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c51]) ).
cnf(c126,plain,
meet(X4,meet(X2,X3)) = meet(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c125]) ).
cnf(c127,plain,
meet(X2,meet(X3,X4)) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c124,c126]) ).
cnf(c128,plain,
meet(meet(X5,join(meet(X4,X3),meet(X2,X3))),meet(X5,X3)) = meet(X3,meet(X5,meet(X5,join(meet(X4,X3),meet(X2,X3))))),
inference(substitution,[status(thm)],[c127]) ).
cnf(c129,plain,
meet(meet(X3,X2),X3) = meet(X3,meet(X3,X2)),
inference(substitution,[status(thm)],[c51]) ).
cnf(c130,plain,
meet(X3,meet(X3,X2)) = meet(meet(X3,X2),X3),
inference(symmetry,[status(thm)],[c129]) ).
cnf(c131,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c20]) ).
cnf(c132,plain,
X3 = join(X3,meet(X3,X2)),
inference(symmetry,[status(thm)],[c131]) ).
cnf(c133,plain,
meet(meet(X3,X2),X3) = meet(meet(X3,X2),join(X3,meet(X3,X2))),
inference(congruence,[status(thm)],[c132]) ).
cnf(c134,plain,
meet(meet(X3,X2),join(X3,meet(X3,X2))) = meet(X3,X2),
inference(substitution,[status(thm)],[c8]) ).
cnf(c135,plain,
meet(meet(X3,X2),X3) = meet(X3,X2),
inference(transitivity,[status(thm)],[c133,c134]) ).
cnf(c136,plain,
meet(X3,meet(X3,X2)) = meet(X3,X2),
inference(transitivity,[status(thm)],[c130,c135]) ).
cnf(c137,plain,
meet(X5,meet(X5,join(meet(X4,X3),meet(X2,X3)))) = meet(X5,join(meet(X4,X3),meet(X2,X3))),
inference(substitution,[status(thm)],[c136]) ).
cnf(c138,plain,
meet(X3,meet(X5,meet(X5,join(meet(X4,X3),meet(X2,X3))))) = meet(X3,meet(X5,join(meet(X4,X3),meet(X2,X3)))),
inference(congruence,[status(thm)],[c137]) ).
cnf(c139,plain,
meet(X5,meet(X4,join(meet(X3,X5),meet(X2,X5)))) = meet(X4,meet(X5,join(meet(X3,X5),meet(X2,X5)))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c140,plain,
meet(join(meet(X3,X4),meet(X2,X4)),X4) = meet(X4,join(meet(X3,X4),meet(X2,X4))),
inference(substitution,[status(thm)],[c51]) ).
cnf(c141,plain,
meet(X4,join(meet(X3,X4),meet(X2,X4))) = meet(join(meet(X3,X4),meet(X2,X4)),X4),
inference(symmetry,[status(thm)],[c140]) ).
cnf(c142,plain,
join(X4,join(meet(X3,X4),meet(X2,X4))) = join(meet(X3,X4),join(X4,meet(X2,X4))),
inference(substitution,[status(thm)],[c36]) ).
cnf(c143,plain,
join(meet(X3,X4),join(X4,meet(X2,X4))) = join(meet(X3,X4),X4),
inference(congruence,[status(thm)],[c111]) ).
cnf(c144,plain,
join(meet(X2,X3),X3) = join(X3,meet(X2,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c145,plain,
join(meet(X2,X3),X3) = X3,
inference(transitivity,[status(thm)],[c144,c111]) ).
cnf(c146,plain,
join(meet(X3,X4),join(X4,meet(X2,X4))) = X4,
inference(transitivity,[status(thm)],[c143,c145]) ).
cnf(c147,plain,
join(X4,join(meet(X3,X4),meet(X2,X4))) = X4,
inference(transitivity,[status(thm)],[c142,c146]) ).
cnf(c148,plain,
X4 = join(X4,join(meet(X3,X4),meet(X2,X4))),
inference(symmetry,[status(thm)],[c147]) ).
cnf(c149,plain,
meet(join(meet(X3,X4),meet(X2,X4)),X4) = meet(join(meet(X3,X4),meet(X2,X4)),join(X4,join(meet(X3,X4),meet(X2,X4)))),
inference(congruence,[status(thm)],[c148]) ).
cnf(c150,plain,
meet(join(meet(X3,X4),meet(X2,X4)),join(X4,join(meet(X3,X4),meet(X2,X4)))) = join(meet(X3,X4),meet(X2,X4)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c151,plain,
meet(join(meet(X3,X4),meet(X2,X4)),X4) = join(meet(X3,X4),meet(X2,X4)),
inference(transitivity,[status(thm)],[c149,c150]) ).
cnf(c152,plain,
meet(X4,join(meet(X3,X4),meet(X2,X4))) = join(meet(X3,X4),meet(X2,X4)),
inference(transitivity,[status(thm)],[c141,c151]) ).
cnf(c153,plain,
meet(X4,meet(X5,join(meet(X3,X5),meet(X2,X5)))) = meet(X4,join(meet(X3,X5),meet(X2,X5))),
inference(congruence,[status(thm)],[c152]) ).
cnf(c154,plain,
meet(X5,meet(X4,join(meet(X3,X5),meet(X2,X5)))) = meet(X4,join(meet(X3,X5),meet(X2,X5))),
inference(transitivity,[status(thm)],[c139,c153]) ).
cnf(c155,plain,
meet(X3,meet(X5,join(meet(X4,X3),meet(X2,X3)))) = meet(X5,join(meet(X4,X3),meet(X2,X3))),
inference(substitution,[status(thm)],[c154]) ).
cnf(c156,plain,
meet(X3,meet(X5,meet(X5,join(meet(X4,X3),meet(X2,X3))))) = meet(X5,join(meet(X4,X3),meet(X2,X3))),
inference(transitivity,[status(thm)],[c138,c155]) ).
cnf(c157,plain,
meet(meet(X5,join(meet(X4,X3),meet(X2,X3))),meet(X5,X3)) = meet(X5,join(meet(X4,X3),meet(X2,X3))),
inference(transitivity,[status(thm)],[c128,c156]) ).
cnf(c158,plain,
meet(meet(X4,join(meet(X5,X3),meet(X2,X3))),meet(X4,X3)) = meet(X4,join(meet(X5,X3),meet(X2,X3))),
inference(substitution,[status(thm)],[c157]) ).
cnf(c159,plain,
meet(X4,join(meet(X5,X3),meet(X2,X3))) = meet(meet(X4,join(meet(X5,X3),meet(X2,X3))),meet(X4,X3)),
inference(symmetry,[status(thm)],[c158]) ).
cnf(c160,plain,
meet(X5,meet(X4,join(meet(X5,X3),meet(X2,X3)))) = meet(X5,meet(meet(X4,join(meet(X5,X3),meet(X2,X3))),meet(X4,X3))),
inference(congruence,[status(thm)],[c159]) ).
cnf(c161,plain,
meet(meet(X4,join(meet(X5,X3),meet(X2,X3))),meet(X5,meet(X4,X3))) = meet(X5,meet(meet(X4,join(meet(X5,X3),meet(X2,X3))),meet(X4,X3))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c162,plain,
meet(X5,meet(meet(X4,join(meet(X5,X3),meet(X2,X3))),meet(X4,X3))) = meet(meet(X4,join(meet(X5,X3),meet(X2,X3))),meet(X5,meet(X4,X3))),
inference(symmetry,[status(thm)],[c161]) ).
cnf(c163,plain,
meet(meet(X4,join(meet(X5,X3),meet(X2,X3))),meet(X5,meet(X4,X3))) = meet(meet(X5,meet(X4,X3)),meet(X4,join(meet(X5,X3),meet(X2,X3)))),
inference(substitution,[status(thm)],[c51]) ).
cnf(c164,plain,
join(meet(X4,join(meet(X5,X3),X2)),meet(X5,meet(X4,X3))) = join(meet(X5,meet(X4,X3)),meet(X4,join(meet(X5,X3),X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c165,plain,
join(meet(X5,meet(X4,X3)),meet(X4,join(meet(X5,X3),X2))) = join(meet(X4,join(meet(X5,X3),X2)),meet(X5,meet(X4,X3))),
inference(symmetry,[status(thm)],[c164]) ).
cnf(c166,plain,
meet(X4,meet(X3,X2)) = meet(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c61]) ).
cnf(c167,plain,
join(meet(X4,join(meet(X5,X3),X2)),meet(X5,meet(X4,X3))) = join(meet(X4,join(meet(X5,X3),X2)),meet(X4,meet(X5,X3))),
inference(congruence,[status(thm)],[c166]) ).
cnf(c168,plain,
meet(X4,meet(X3,join(X4,X2))) = meet(X3,meet(X4,join(X4,X2))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c169,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c6]) ).
cnf(c170,plain,
meet(X3,meet(X4,join(X4,X2))) = meet(X3,X4),
inference(congruence,[status(thm)],[c169]) ).
cnf(c171,plain,
meet(X4,meet(X3,join(X4,X2))) = meet(X3,X4),
inference(transitivity,[status(thm)],[c168,c170]) ).
cnf(c172,plain,
meet(meet(X5,X3),meet(X4,join(meet(X5,X3),X2))) = meet(X4,meet(X5,X3)),
inference(substitution,[status(thm)],[c171]) ).
cnf(c173,plain,
meet(X4,meet(X5,X3)) = meet(meet(X5,X3),meet(X4,join(meet(X5,X3),X2))),
inference(symmetry,[status(thm)],[c172]) ).
cnf(c174,plain,
join(meet(X4,join(meet(X5,X3),X2)),meet(X4,meet(X5,X3))) = join(meet(X4,join(meet(X5,X3),X2)),meet(meet(X5,X3),meet(X4,join(meet(X5,X3),X2)))),
inference(congruence,[status(thm)],[c173]) ).
cnf(c175,plain,
join(meet(X4,join(meet(X5,X3),X2)),meet(meet(X5,X3),meet(X4,join(meet(X5,X3),X2)))) = meet(X4,join(meet(X5,X3),X2)),
inference(substitution,[status(thm)],[c111]) ).
cnf(c176,plain,
join(meet(X4,join(meet(X5,X3),X2)),meet(X4,meet(X5,X3))) = meet(X4,join(meet(X5,X3),X2)),
inference(transitivity,[status(thm)],[c174,c175]) ).
cnf(c177,plain,
join(meet(X4,join(meet(X5,X3),X2)),meet(X5,meet(X4,X3))) = meet(X4,join(meet(X5,X3),X2)),
inference(transitivity,[status(thm)],[c167,c176]) ).
cnf(c178,plain,
join(meet(X5,meet(X4,X3)),meet(X4,join(meet(X5,X3),X2))) = meet(X4,join(meet(X5,X3),X2)),
inference(transitivity,[status(thm)],[c165,c177]) ).
cnf(c179,plain,
meet(X4,join(meet(X5,X3),X2)) = join(meet(X5,meet(X4,X3)),meet(X4,join(meet(X5,X3),X2))),
inference(symmetry,[status(thm)],[c178]) ).
cnf(c180,plain,
meet(meet(X5,meet(X4,X3)),meet(X4,join(meet(X5,X3),X2))) = meet(meet(X5,meet(X4,X3)),join(meet(X5,meet(X4,X3)),meet(X4,join(meet(X5,X3),X2)))),
inference(congruence,[status(thm)],[c179]) ).
cnf(c181,plain,
meet(meet(X5,meet(X4,X3)),join(meet(X5,meet(X4,X3)),meet(X4,join(meet(X5,X3),X2)))) = meet(X5,meet(X4,X3)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c182,plain,
meet(meet(X5,meet(X4,X3)),meet(X4,join(meet(X5,X3),X2))) = meet(X5,meet(X4,X3)),
inference(transitivity,[status(thm)],[c180,c181]) ).
cnf(c183,plain,
meet(meet(X5,meet(X4,X3)),meet(X4,join(meet(X5,X3),meet(X2,X3)))) = meet(X5,meet(X4,X3)),
inference(substitution,[status(thm)],[c182]) ).
cnf(c184,plain,
meet(meet(X4,join(meet(X5,X3),meet(X2,X3))),meet(X5,meet(X4,X3))) = meet(X5,meet(X4,X3)),
inference(transitivity,[status(thm)],[c163,c183]) ).
cnf(c185,plain,
meet(X5,meet(meet(X4,join(meet(X5,X3),meet(X2,X3))),meet(X4,X3))) = meet(X5,meet(X4,X3)),
inference(transitivity,[status(thm)],[c162,c184]) ).
cnf(c186,plain,
meet(X5,meet(X4,join(meet(X5,X3),meet(X2,X3)))) = meet(X5,meet(X4,X3)),
inference(transitivity,[status(thm)],[c160,c185]) ).
cnf(c187,plain,
meet(X4,meet(X3,join(meet(X4,X2),meet(X5,X2)))) = meet(X4,meet(X3,X2)),
inference(substitution,[status(thm)],[c186]) ).
cnf(c188,plain,
join(X5,meet(X4,meet(X3,join(meet(X4,X2),meet(X5,X2))))) = join(X5,meet(X4,meet(X3,X2))),
inference(congruence,[status(thm)],[c187]) ).
cnf(c189,plain,
join(X5,meet(X4,join(X5,meet(meet(X3,join(meet(X4,X2),meet(X5,X2))),join(X4,X5))))) = join(X5,meet(X4,meet(X3,X2))),
inference(transitivity,[status(thm)],[c122,c188]) ).
cnf(c190,plain,
join(X5,meet(X4,join(X5,meet(X3,join(meet(X4,X2),meet(X5,X2)))))) = join(X5,meet(X4,meet(X3,X2))),
inference(transitivity,[status(thm)],[c90,c189]) ).
cnf(c191,plain,
join(X4,meet(X5,join(X4,meet(X3,join(meet(X5,X2),meet(X4,X2)))))) = join(X4,meet(X5,meet(X3,X2))),
inference(substitution,[status(thm)],[c190]) ).
cnf(c192,plain,
meet(meet(X5,join(X4,meet(X3,join(meet(X5,X2),meet(X4,X2))))),join(X4,meet(X5,join(X4,meet(X3,join(meet(X5,X2),meet(X4,X2))))))) = meet(meet(X5,join(X4,meet(X3,join(meet(X5,X2),meet(X4,X2))))),join(X4,meet(X5,meet(X3,X2)))),
inference(congruence,[status(thm)],[c191]) ).
cnf(c193,plain,
meet(join(X5,meet(X3,meet(X4,X2))),meet(X6,join(X5,meet(X4,join(meet(X3,X2),X7))))) = meet(meet(X6,join(X5,meet(X4,join(meet(X3,X2),X7)))),join(X5,meet(X3,meet(X4,X2)))),
inference(substitution,[status(thm)],[c51]) ).
cnf(c194,plain,
meet(meet(X7,join(X6,meet(X5,join(meet(X4,X3),X2)))),join(X6,meet(X4,meet(X5,X3)))) = meet(join(X6,meet(X4,meet(X5,X3))),meet(X7,join(X6,meet(X5,join(meet(X4,X3),X2))))),
inference(symmetry,[status(thm)],[c193]) ).
cnf(c195,plain,
meet(join(X6,meet(X4,meet(X5,X3))),meet(X7,join(X6,meet(X5,join(meet(X4,X3),X2))))) = meet(X7,meet(join(X6,meet(X4,meet(X5,X3))),join(X6,meet(X5,join(meet(X4,X3),X2))))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c196,plain,
meet(join(X6,meet(X5,join(meet(X4,X3),X2))),meet(X7,join(X6,meet(X4,meet(X5,X3))))) = meet(X7,meet(join(X6,meet(X4,meet(X5,X3))),join(X6,meet(X5,join(meet(X4,X3),X2))))),
inference(substitution,[status(thm)],[c65]) ).
cnf(c197,plain,
meet(X7,meet(join(X6,meet(X4,meet(X5,X3))),join(X6,meet(X5,join(meet(X4,X3),X2))))) = meet(join(X6,meet(X5,join(meet(X4,X3),X2))),meet(X7,join(X6,meet(X4,meet(X5,X3))))),
inference(symmetry,[status(thm)],[c196]) ).
cnf(c198,plain,
meet(join(X6,meet(X5,join(meet(X4,X3),X2))),meet(X7,join(X6,meet(X4,meet(X5,X3))))) = meet(meet(X7,join(X6,meet(X4,meet(X5,X3)))),join(X6,meet(X5,join(meet(X4,X3),X2)))),
inference(substitution,[status(thm)],[c51]) ).
cnf(c199,plain,
join(X2,join(X4,X3)) = join(X4,join(X2,X3)),
inference(substitution,[status(thm)],[c36]) ).
cnf(c200,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c201,plain,
join(X4,join(X2,X3)) = join(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c200]) ).
cnf(c202,plain,
join(X2,join(X4,X3)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c199,c201]) ).
cnf(c203,plain,
join(join(X6,meet(X5,meet(X4,X3))),join(X6,meet(X4,join(meet(X5,X3),X2)))) = join(X6,join(meet(X4,join(meet(X5,X3),X2)),join(X6,meet(X5,meet(X4,X3))))),
inference(substitution,[status(thm)],[c202]) ).
cnf(c204,plain,
join(join(X4,X2),X3) = join(X3,join(X4,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c205,plain,
join(X3,join(X4,X2)) = join(join(X4,X2),X3),
inference(symmetry,[status(thm)],[c204]) ).
cnf(c206,plain,
join(X4,join(X3,join(X4,X2))) = join(X4,join(join(X4,X2),X3)),
inference(congruence,[status(thm)],[c205]) ).
cnf(c207,plain,
join(join(X4,join(X4,X2)),X3) = join(X4,join(join(X4,X2),X3)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c208,plain,
join(X4,join(join(X4,X2),X3)) = join(join(X4,join(X4,X2)),X3),
inference(symmetry,[status(thm)],[c207]) ).
cnf(c209,plain,
join(join(X3,X2),X3) = join(X3,join(X3,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c210,plain,
join(X3,join(X3,X2)) = join(join(X3,X2),X3),
inference(symmetry,[status(thm)],[c209]) ).
cnf(c211,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c6]) ).
cnf(c212,plain,
X3 = meet(X3,join(X3,X2)),
inference(symmetry,[status(thm)],[c211]) ).
cnf(c213,plain,
join(join(X3,X2),X3) = join(join(X3,X2),meet(X3,join(X3,X2))),
inference(congruence,[status(thm)],[c212]) ).
cnf(c214,plain,
join(join(X3,X2),meet(X3,join(X3,X2))) = join(X3,X2),
inference(substitution,[status(thm)],[c111]) ).
cnf(c215,plain,
join(join(X3,X2),X3) = join(X3,X2),
inference(transitivity,[status(thm)],[c213,c214]) ).
cnf(c216,plain,
join(X3,join(X3,X2)) = join(X3,X2),
inference(transitivity,[status(thm)],[c210,c215]) ).
cnf(c217,plain,
join(join(X4,join(X4,X2)),X3) = join(join(X4,X2),X3),
inference(congruence,[status(thm)],[c216]) ).
cnf(c218,plain,
join(join(X4,X2),X3) = join(X3,join(X4,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c219,plain,
join(join(X4,join(X4,X2)),X3) = join(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c217,c218]) ).
cnf(c220,plain,
join(X4,join(join(X4,X2),X3)) = join(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c208,c219]) ).
cnf(c221,plain,
join(X4,join(X3,join(X4,X2))) = join(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c206,c220]) ).
cnf(c222,plain,
join(X6,join(meet(X4,join(meet(X5,X3),X2)),join(X6,meet(X5,meet(X4,X3))))) = join(meet(X4,join(meet(X5,X3),X2)),join(X6,meet(X5,meet(X4,X3)))),
inference(substitution,[status(thm)],[c221]) ).
cnf(c223,plain,
join(X2,join(X3,X4)) = join(X3,join(X2,X4)),
inference(substitution,[status(thm)],[c36]) ).
cnf(c224,plain,
join(X4,join(X3,X2)) = join(X3,join(X2,X4)),
inference(substitution,[status(thm)],[c202]) ).
cnf(c225,plain,
join(X3,join(X2,X4)) = join(X4,join(X3,X2)),
inference(symmetry,[status(thm)],[c224]) ).
cnf(c226,plain,
join(X2,join(X3,X4)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c223,c225]) ).
cnf(c227,plain,
join(meet(X5,meet(X4,X3)),join(X6,meet(X4,join(meet(X5,X3),X2)))) = join(meet(X4,join(meet(X5,X3),X2)),join(X6,meet(X5,meet(X4,X3)))),
inference(substitution,[status(thm)],[c226]) ).
cnf(c228,plain,
join(meet(X4,join(meet(X5,X3),X2)),join(X6,meet(X5,meet(X4,X3)))) = join(meet(X5,meet(X4,X3)),join(X6,meet(X4,join(meet(X5,X3),X2)))),
inference(symmetry,[status(thm)],[c227]) ).
cnf(c229,plain,
join(join(X3,meet(X5,join(meet(X6,X4),X2))),meet(X6,meet(X5,X4))) = join(meet(X6,meet(X5,X4)),join(X3,meet(X5,join(meet(X6,X4),X2)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c230,plain,
join(meet(X6,meet(X5,X4)),join(X3,meet(X5,join(meet(X6,X4),X2)))) = join(join(X3,meet(X5,join(meet(X6,X4),X2))),meet(X6,meet(X5,X4))),
inference(symmetry,[status(thm)],[c229]) ).
cnf(c231,plain,
meet(X4,meet(X3,X2)) = meet(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c61]) ).
cnf(c232,plain,
join(join(X3,meet(X5,join(meet(X6,X4),X2))),meet(X6,meet(X5,X4))) = join(join(X3,meet(X5,join(meet(X6,X4),X2))),meet(X5,meet(X6,X4))),
inference(congruence,[status(thm)],[c231]) ).
cnf(c233,plain,
meet(meet(X5,X3),meet(X4,join(meet(X5,X3),X2))) = meet(X4,meet(X5,X3)),
inference(substitution,[status(thm)],[c171]) ).
cnf(c234,plain,
meet(X4,meet(X5,X3)) = meet(meet(X5,X3),meet(X4,join(meet(X5,X3),X2))),
inference(symmetry,[status(thm)],[c233]) ).
cnf(c235,plain,
join(join(X3,meet(X5,join(meet(X6,X4),X2))),meet(X5,meet(X6,X4))) = join(join(X3,meet(X5,join(meet(X6,X4),X2))),meet(meet(X6,X4),meet(X5,join(meet(X6,X4),X2)))),
inference(congruence,[status(thm)],[c234]) ).
cnf(c236,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c51]) ).
cnf(c237,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c236]) ).
cnf(c238,plain,
join(join(X4,X3),meet(X2,X3)) = join(join(X4,X3),meet(X3,X2)),
inference(congruence,[status(thm)],[c237]) ).
cnf(c239,plain,
join(meet(X3,X2),join(X4,X3)) = join(join(X4,X3),meet(X3,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c240,plain,
join(join(X4,X3),meet(X3,X2)) = join(meet(X3,X2),join(X4,X3)),
inference(symmetry,[status(thm)],[c239]) ).
cnf(c241,plain,
join(meet(X3,X2),join(X4,X3)) = join(X4,join(X3,meet(X3,X2))),
inference(substitution,[status(thm)],[c202]) ).
cnf(c242,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c20]) ).
cnf(c243,plain,
join(X4,join(X3,meet(X3,X2))) = join(X4,X3),
inference(congruence,[status(thm)],[c242]) ).
cnf(c244,plain,
join(meet(X3,X2),join(X4,X3)) = join(X4,X3),
inference(transitivity,[status(thm)],[c241,c243]) ).
cnf(c245,plain,
join(join(X4,X3),meet(X3,X2)) = join(X4,X3),
inference(transitivity,[status(thm)],[c240,c244]) ).
cnf(c246,plain,
join(join(X4,X3),meet(X2,X3)) = join(X4,X3),
inference(transitivity,[status(thm)],[c238,c245]) ).
cnf(c247,plain,
join(join(X3,meet(X5,join(meet(X6,X4),X2))),meet(meet(X6,X4),meet(X5,join(meet(X6,X4),X2)))) = join(X3,meet(X5,join(meet(X6,X4),X2))),
inference(substitution,[status(thm)],[c246]) ).
cnf(c248,plain,
join(join(X3,meet(X5,join(meet(X6,X4),X2))),meet(X5,meet(X6,X4))) = join(X3,meet(X5,join(meet(X6,X4),X2))),
inference(transitivity,[status(thm)],[c235,c247]) ).
cnf(c249,plain,
join(join(X3,meet(X5,join(meet(X6,X4),X2))),meet(X6,meet(X5,X4))) = join(X3,meet(X5,join(meet(X6,X4),X2))),
inference(transitivity,[status(thm)],[c232,c248]) ).
cnf(c250,plain,
join(meet(X6,meet(X5,X4)),join(X3,meet(X5,join(meet(X6,X4),X2)))) = join(X3,meet(X5,join(meet(X6,X4),X2))),
inference(transitivity,[status(thm)],[c230,c249]) ).
cnf(c251,plain,
join(meet(X5,meet(X4,X3)),join(X6,meet(X4,join(meet(X5,X3),X2)))) = join(X6,meet(X4,join(meet(X5,X3),X2))),
inference(substitution,[status(thm)],[c250]) ).
cnf(c252,plain,
join(meet(X4,join(meet(X5,X3),X2)),join(X6,meet(X5,meet(X4,X3)))) = join(X6,meet(X4,join(meet(X5,X3),X2))),
inference(transitivity,[status(thm)],[c228,c251]) ).
cnf(c253,plain,
join(X6,join(meet(X4,join(meet(X5,X3),X2)),join(X6,meet(X5,meet(X4,X3))))) = join(X6,meet(X4,join(meet(X5,X3),X2))),
inference(transitivity,[status(thm)],[c222,c252]) ).
cnf(c254,plain,
join(join(X6,meet(X5,meet(X4,X3))),join(X6,meet(X4,join(meet(X5,X3),X2)))) = join(X6,meet(X4,join(meet(X5,X3),X2))),
inference(transitivity,[status(thm)],[c203,c253]) ).
cnf(c255,plain,
join(X6,meet(X4,join(meet(X5,X3),X2))) = join(join(X6,meet(X5,meet(X4,X3))),join(X6,meet(X4,join(meet(X5,X3),X2)))),
inference(symmetry,[status(thm)],[c254]) ).
cnf(c256,plain,
meet(meet(X7,join(X6,meet(X5,meet(X4,X3)))),join(X6,meet(X4,join(meet(X5,X3),X2)))) = meet(meet(X7,join(X6,meet(X5,meet(X4,X3)))),join(join(X6,meet(X5,meet(X4,X3))),join(X6,meet(X4,join(meet(X5,X3),X2))))),
inference(congruence,[status(thm)],[c255]) ).
cnf(c257,plain,
join(join(X6,meet(X5,meet(X4,X3))),join(X6,meet(X4,join(meet(X5,X3),X2)))) = join(X6,join(meet(X4,join(meet(X5,X3),X2)),join(X6,meet(X5,meet(X4,X3))))),
inference(substitution,[status(thm)],[c202]) ).
cnf(c258,plain,
meet(meet(X7,join(X6,meet(X5,meet(X4,X3)))),join(join(X6,meet(X5,meet(X4,X3))),join(X6,meet(X4,join(meet(X5,X3),X2))))) = meet(meet(X7,join(X6,meet(X5,meet(X4,X3)))),join(X6,join(meet(X4,join(meet(X5,X3),X2)),join(X6,meet(X5,meet(X4,X3)))))),
inference(congruence,[status(thm)],[c257]) ).
cnf(c259,plain,
meet(meet(X7,join(X6,meet(X5,meet(X4,X3)))),join(X6,join(meet(X4,join(meet(X5,X3),X2)),join(X6,meet(X5,meet(X4,X3)))))) = meet(X7,join(X6,meet(X5,meet(X4,X3)))),
inference(substitution,[status(thm)],[c80]) ).
cnf(c260,plain,
meet(meet(X7,join(X6,meet(X5,meet(X4,X3)))),join(join(X6,meet(X5,meet(X4,X3))),join(X6,meet(X4,join(meet(X5,X3),X2))))) = meet(X7,join(X6,meet(X5,meet(X4,X3)))),
inference(transitivity,[status(thm)],[c258,c259]) ).
cnf(c261,plain,
meet(meet(X7,join(X6,meet(X5,meet(X4,X3)))),join(X6,meet(X4,join(meet(X5,X3),X2)))) = meet(X7,join(X6,meet(X5,meet(X4,X3)))),
inference(transitivity,[status(thm)],[c256,c260]) ).
cnf(c262,plain,
meet(meet(X7,join(X6,meet(X4,meet(X5,X3)))),join(X6,meet(X5,join(meet(X4,X3),X2)))) = meet(X7,join(X6,meet(X4,meet(X5,X3)))),
inference(substitution,[status(thm)],[c261]) ).
cnf(c263,plain,
meet(join(X6,meet(X5,join(meet(X4,X3),X2))),meet(X7,join(X6,meet(X4,meet(X5,X3))))) = meet(X7,join(X6,meet(X4,meet(X5,X3)))),
inference(transitivity,[status(thm)],[c198,c262]) ).
cnf(c264,plain,
meet(X7,meet(join(X6,meet(X4,meet(X5,X3))),join(X6,meet(X5,join(meet(X4,X3),X2))))) = meet(X7,join(X6,meet(X4,meet(X5,X3)))),
inference(transitivity,[status(thm)],[c197,c263]) ).
cnf(c265,plain,
meet(join(X6,meet(X4,meet(X5,X3))),meet(X7,join(X6,meet(X5,join(meet(X4,X3),X2))))) = meet(X7,join(X6,meet(X4,meet(X5,X3)))),
inference(transitivity,[status(thm)],[c195,c264]) ).
cnf(c266,plain,
meet(meet(X7,join(X6,meet(X5,join(meet(X4,X3),X2)))),join(X6,meet(X4,meet(X5,X3)))) = meet(X7,join(X6,meet(X4,meet(X5,X3)))),
inference(transitivity,[status(thm)],[c194,c265]) ).
cnf(c267,plain,
meet(meet(X5,join(X4,meet(X3,join(meet(X5,X2),meet(X4,X2))))),join(X4,meet(X5,meet(X3,X2)))) = meet(X5,join(X4,meet(X5,meet(X3,X2)))),
inference(substitution,[status(thm)],[c266]) ).
cnf(c268,plain,
meet(meet(X5,join(X4,meet(X3,join(meet(X5,X2),meet(X4,X2))))),join(X4,meet(X5,join(X4,meet(X3,join(meet(X5,X2),meet(X4,X2))))))) = meet(X5,join(X4,meet(X5,meet(X3,X2)))),
inference(transitivity,[status(thm)],[c192,c267]) ).
cnf(c269,plain,
meet(X5,join(X4,meet(X3,join(meet(X5,X2),meet(X4,X2))))) = meet(X5,join(X4,meet(X5,meet(X3,X2)))),
inference(transitivity,[status(thm)],[c10,c268]) ).
cnf(c270,plain,
meet(a,join(b,meet(c,join(meet(a,d),meet(b,d))))) = meet(a,join(b,meet(a,meet(c,d)))),
inference(substitution,[status(thm)],[c269]) ).
cnf(c271,plain,
meet(a,join(b,meet(a,meet(c,d)))) = meet(a,join(b,meet(c,join(meet(a,d),meet(b,d))))),
inference(symmetry,[status(thm)],[c270]) ).
cnf(c272,plain,
$false,
inference(resolution,[status(thm)],[c1,c271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT175-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n013.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 14:03:36 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 151.21/19.70 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 151.21/19.70
% 151.21/19.70 % SZS status Unsatisfiable
% 151.21/19.70
% 151.96/19.76 % SZS output start CNFRefutation
% See solution above
% 154.41/20.03
% 154.41/20.03 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------