%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT149-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 11:44:26 AM UTC 2026
% Result : Unsatisfiable 211.01s 27.17s
% Output : CNFRefutation 214.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 10
% Syntax : Number of clauses : 373 ( 373 unt; 0 nHn; 7 RR)
% Number of literals : 373 ( 372 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 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 : 1217 ( 98 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
meet(a,join(b,meet(c,join(b,d)))) != meet(a,join(b,meet(c,join(d,meet(a,join(b,d)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H43) ).
cnf(c2,axiom,
meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
cnf(c3,plain,
meet(X2,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))) = meet(join(X5,meet(X4,join(X3,meet(X2,join(X5,X3))))),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
meet(join(X5,meet(X4,join(X3,meet(X2,join(X5,X3))))),X2) = meet(X2,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
meet(join(X6,meet(X5,join(X4,X3))),join(X4,meet(X2,join(X3,meet(X7,join(X4,X3)))))) = meet(join(X4,meet(X2,join(X3,meet(X7,join(X4,X3))))),join(X6,meet(X5,join(X4,X3)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c6,plain,
meet(join(X6,meet(X4,join(X5,meet(X3,join(X6,X5))))),join(X2,meet(X7,join(X6,X5)))) = meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5)))))),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,plain,
join(X6,meet(join(X6,meet(X4,join(X5,meet(X3,join(X6,X5))))),join(X2,meet(X7,join(X6,X5))))) = join(X6,meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5))))))),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,plain,
meet(meet(X7,join(X6,X5)),join(X6,meet(join(X6,meet(X4,join(X5,meet(X3,join(X6,X5))))),join(X2,meet(X7,join(X6,X5)))))) = meet(meet(X7,join(X6,X5)),join(X6,meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5)))))))),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,plain,
meet(join(X6,meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5))))))),meet(X7,join(X6,X5))) = meet(meet(X7,join(X6,X5)),join(X6,meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5)))))))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c10,plain,
meet(meet(X7,join(X6,X5)),join(X6,meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5)))))))) = meet(join(X6,meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5))))))),meet(X7,join(X6,X5))),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,plain,
meet(X2,join(X3,X4)) = meet(join(X3,X4),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c12,plain,
meet(join(X3,X4),X2) = meet(X2,join(X3,X4)),
inference(symmetry,[status(thm)],[c11]) ).
cnf(c13,plain,
meet(X4,meet(join(X3,X4),X2)) = meet(X4,meet(X2,join(X3,X4))),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,plain,
meet(join(X2,X4),X3) = meet(X3,join(X2,X4)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c15,plain,
meet(X3,join(X2,X4)) = meet(join(X2,X4),X3),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c16,plain,
meet(X4,meet(X3,join(X2,X4))) = meet(X4,meet(join(X2,X4),X3)),
inference(congruence,[status(thm)],[c15]) ).
cnf(c17,axiom,
meet(meet(X2,Y2),Z) = meet(X2,meet(Y2,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
cnf(c18,plain,
meet(meet(X4,join(X2,X4)),X3) = meet(X4,meet(join(X2,X4),X3)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
meet(X4,meet(join(X2,X4),X3)) = meet(meet(X4,join(X2,X4)),X3),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,axiom,
join(X2,Y2) = join(Y2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
cnf(c21,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c20]) ).
cnf(c22,plain,
meet(X3,join(X2,X3)) = meet(X3,join(X3,X2)),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,axiom,
meet(X2,join(X2,Y2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
cnf(c24,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c23]) ).
cnf(c25,plain,
meet(X3,join(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c22,c24]) ).
cnf(c26,plain,
meet(meet(X4,join(X2,X4)),X3) = meet(X4,X3),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c28,plain,
meet(meet(X4,join(X2,X4)),X3) = meet(X3,X4),
inference(transitivity,[status(thm)],[c26,c27]) ).
cnf(c29,plain,
meet(X4,meet(join(X2,X4),X3)) = meet(X3,X4),
inference(transitivity,[status(thm)],[c19,c28]) ).
cnf(c30,plain,
meet(X4,meet(X3,join(X2,X4))) = meet(X3,X4),
inference(transitivity,[status(thm)],[c16,c29]) ).
cnf(c31,plain,
meet(X4,meet(X2,join(X3,X4))) = meet(X2,X4),
inference(substitution,[status(thm)],[c30]) ).
cnf(c32,plain,
meet(X4,meet(join(X3,X4),X2)) = meet(X2,X4),
inference(transitivity,[status(thm)],[c13,c31]) ).
cnf(c33,plain,
meet(meet(X7,join(X6,X5)),meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5))))))))) = meet(join(X6,meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5))))))),meet(X7,join(X6,X5))),
inference(substitution,[status(thm)],[c32]) ).
cnf(c34,plain,
meet(join(X6,meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5))))))),meet(X7,join(X6,X5))) = meet(meet(X7,join(X6,X5)),meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5))))))))),
inference(symmetry,[status(thm)],[c33]) ).
cnf(c35,plain,
meet(join(X4,X3),X2) = meet(X2,join(X4,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c36,plain,
meet(X2,join(X4,X3)) = meet(join(X4,X3),X2),
inference(symmetry,[status(thm)],[c35]) ).
cnf(c37,plain,
join(X4,meet(X2,join(X4,X3))) = join(X4,meet(join(X4,X3),X2)),
inference(congruence,[status(thm)],[c36]) ).
cnf(c38,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)],[c37]) ).
cnf(c39,plain,
join(meet(join(X4,X3),X2),X4) = join(X4,meet(join(X4,X3),X2)),
inference(substitution,[status(thm)],[c20]) ).
cnf(c40,plain,
join(X4,meet(join(X4,X3),X2)) = join(meet(join(X4,X3),X2),X4),
inference(symmetry,[status(thm)],[c39]) ).
cnf(c41,plain,
meet(join(X4,X3),join(X4,meet(join(X4,X3),X2))) = meet(join(X4,X3),join(meet(join(X4,X3),X2),X4)),
inference(congruence,[status(thm)],[c40]) ).
cnf(c42,axiom,
join(X2,meet(X2,Y2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
cnf(c43,plain,
join(join(X4,X3),meet(join(X4,X3),X2)) = join(X4,X3),
inference(substitution,[status(thm)],[c42]) ).
cnf(c44,plain,
join(X4,X3) = join(join(X4,X3),meet(join(X4,X3),X2)),
inference(symmetry,[status(thm)],[c43]) ).
cnf(c45,plain,
meet(join(X4,X3),join(meet(join(X4,X3),X2),X4)) = meet(join(join(X4,X3),meet(join(X4,X3),X2)),join(meet(join(X4,X3),X2),X4)),
inference(congruence,[status(thm)],[c44]) ).
cnf(c46,plain,
join(X2,join(X4,X3)) = join(join(X4,X3),X2),
inference(substitution,[status(thm)],[c20]) ).
cnf(c47,plain,
join(join(X4,X3),X2) = join(X2,join(X4,X3)),
inference(symmetry,[status(thm)],[c46]) ).
cnf(c48,plain,
meet(join(join(X4,X3),X2),join(X2,X4)) = meet(join(X2,join(X4,X3)),join(X2,X4)),
inference(congruence,[status(thm)],[c47]) ).
cnf(c49,plain,
meet(join(X4,X3),join(X4,join(X3,X2))) = meet(join(X4,join(X3,X2)),join(X4,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c50,plain,
meet(join(X4,join(X3,X2)),join(X4,X3)) = meet(join(X4,X3),join(X4,join(X3,X2))),
inference(symmetry,[status(thm)],[c49]) ).
cnf(c51,plain,
join(join(X2,X4),X3) = join(X3,join(X2,X4)),
inference(substitution,[status(thm)],[c20]) ).
cnf(c52,plain,
join(X3,join(X2,X4)) = join(join(X2,X4),X3),
inference(symmetry,[status(thm)],[c51]) ).
cnf(c53,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c20]) ).
cnf(c54,plain,
join(join(X2,X4),X3) = join(join(X4,X2),X3),
inference(congruence,[status(thm)],[c53]) ).
cnf(c55,axiom,
join(join(X2,Y2),Z2) = join(X2,join(Y2,Z2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
cnf(c56,plain,
join(join(X4,X2),X3) = join(X4,join(X2,X3)),
inference(substitution,[status(thm)],[c55]) ).
cnf(c57,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c20]) ).
cnf(c58,plain,
join(X4,join(X2,X3)) = join(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,plain,
join(join(X4,X2),X3) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c56,c58]) ).
cnf(c60,plain,
join(join(X2,X4),X3) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c54,c59]) ).
cnf(c61,plain,
join(X3,join(X2,X4)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c52,c60]) ).
cnf(c62,plain,
join(X4,join(X3,X2)) = join(X2,join(X4,X3)),
inference(substitution,[status(thm)],[c61]) ).
cnf(c63,plain,
meet(join(X4,X3),join(X4,join(X3,X2))) = meet(join(X4,X3),join(X2,join(X4,X3))),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,plain,
meet(join(X4,X3),join(X2,join(X4,X3))) = join(X4,X3),
inference(substitution,[status(thm)],[c25]) ).
cnf(c65,plain,
meet(join(X4,X3),join(X4,join(X3,X2))) = join(X4,X3),
inference(transitivity,[status(thm)],[c63,c64]) ).
cnf(c66,plain,
meet(join(X4,join(X3,X2)),join(X4,X3)) = join(X4,X3),
inference(transitivity,[status(thm)],[c50,c65]) ).
cnf(c67,plain,
meet(join(X2,join(X4,X3)),join(X2,X4)) = join(X2,X4),
inference(substitution,[status(thm)],[c66]) ).
cnf(c68,plain,
meet(join(join(X4,X3),X2),join(X2,X4)) = join(X2,X4),
inference(transitivity,[status(thm)],[c48,c67]) ).
cnf(c69,plain,
meet(join(join(X4,X3),meet(join(X4,X3),X2)),join(meet(join(X4,X3),X2),X4)) = join(meet(join(X4,X3),X2),X4),
inference(substitution,[status(thm)],[c68]) ).
cnf(c70,plain,
join(meet(join(X4,X3),X2),X4) = join(X4,meet(join(X4,X3),X2)),
inference(substitution,[status(thm)],[c20]) ).
cnf(c71,plain,
meet(join(X4,X3),X2) = meet(X2,join(X4,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c72,plain,
join(X4,meet(join(X4,X3),X2)) = join(X4,meet(X2,join(X4,X3))),
inference(congruence,[status(thm)],[c71]) ).
cnf(c73,plain,
join(meet(join(X4,X3),X2),X4) = join(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c70,c72]) ).
cnf(c74,plain,
meet(join(join(X4,X3),meet(join(X4,X3),X2)),join(meet(join(X4,X3),X2),X4)) = join(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c69,c73]) ).
cnf(c75,plain,
meet(join(X4,X3),join(meet(join(X4,X3),X2),X4)) = join(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c45,c74]) ).
cnf(c76,plain,
meet(join(X4,X3),join(X4,meet(join(X4,X3),X2))) = join(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c41,c75]) ).
cnf(c77,plain,
meet(join(X4,X3),join(X4,meet(X2,join(X4,X3)))) = join(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c38,c76]) ).
cnf(c78,plain,
meet(join(X3,X2),join(X3,meet(X4,join(X3,X2)))) = join(X3,meet(X4,join(X3,X2))),
inference(substitution,[status(thm)],[c77]) ).
cnf(c79,plain,
join(X3,meet(X4,join(X3,X2))) = meet(join(X3,X2),join(X3,meet(X4,join(X3,X2)))),
inference(symmetry,[status(thm)],[c78]) ).
cnf(c80,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)],[c79]) ).
cnf(c81,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c82,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c81]) ).
cnf(c83,plain,
join(X2,meet(X4,X3)) = join(X2,meet(X3,X4)),
inference(congruence,[status(thm)],[c82]) ).
cnf(c84,plain,
meet(X3,join(X2,meet(X4,X3))) = meet(X3,join(X2,meet(X3,X4))),
inference(congruence,[status(thm)],[c83]) ).
cnf(c85,plain,
meet(X4,meet(X3,join(X2,meet(X4,X3)))) = meet(X4,meet(X3,join(X2,meet(X3,X4)))),
inference(congruence,[status(thm)],[c84]) ).
cnf(c86,plain,
join(meet(X3,X4),X2) = join(X2,meet(X3,X4)),
inference(substitution,[status(thm)],[c20]) ).
cnf(c87,plain,
join(X2,meet(X3,X4)) = join(meet(X3,X4),X2),
inference(symmetry,[status(thm)],[c86]) ).
cnf(c88,plain,
meet(X3,join(X2,meet(X3,X4))) = meet(X3,join(meet(X3,X4),X2)),
inference(congruence,[status(thm)],[c87]) ).
cnf(c89,plain,
meet(X4,meet(X3,join(X2,meet(X3,X4)))) = meet(X4,meet(X3,join(meet(X3,X4),X2))),
inference(congruence,[status(thm)],[c88]) ).
cnf(c90,plain,
meet(meet(X4,X2),X3) = meet(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c91,plain,
meet(X3,meet(X4,X2)) = meet(meet(X4,X2),X3),
inference(symmetry,[status(thm)],[c90]) ).
cnf(c92,plain,
meet(meet(X4,X2),X3) = meet(X4,meet(X2,X3)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c93,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c94,plain,
meet(X4,meet(X2,X3)) = meet(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c93]) ).
cnf(c95,plain,
meet(meet(X4,X2),X3) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c92,c94]) ).
cnf(c96,plain,
meet(X3,meet(X4,X2)) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c91,c95]) ).
cnf(c97,plain,
meet(X4,meet(X3,join(meet(X3,X4),X2))) = meet(X3,meet(X4,join(meet(X3,X4),X2))),
inference(substitution,[status(thm)],[c96]) ).
cnf(c98,plain,
meet(meet(X3,X4),join(meet(X3,X4),X2)) = meet(X3,meet(X4,join(meet(X3,X4),X2))),
inference(substitution,[status(thm)],[c17]) ).
cnf(c99,plain,
meet(X3,meet(X4,join(meet(X3,X4),X2))) = meet(meet(X3,X4),join(meet(X3,X4),X2)),
inference(symmetry,[status(thm)],[c98]) ).
cnf(c100,plain,
meet(meet(X3,X4),join(meet(X3,X4),X2)) = meet(X3,X4),
inference(substitution,[status(thm)],[c23]) ).
cnf(c101,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c102,plain,
meet(meet(X3,X4),join(meet(X3,X4),X2)) = meet(X4,X3),
inference(transitivity,[status(thm)],[c100,c101]) ).
cnf(c103,plain,
meet(X3,meet(X4,join(meet(X3,X4),X2))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c99,c102]) ).
cnf(c104,plain,
meet(X4,meet(X3,join(meet(X3,X4),X2))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c97,c103]) ).
cnf(c105,plain,
meet(X4,meet(X3,join(X2,meet(X3,X4)))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c89,c104]) ).
cnf(c106,plain,
meet(X4,meet(X3,join(X2,meet(X4,X3)))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c85,c105]) ).
cnf(c107,plain,
meet(X4,meet(join(X3,X2),join(X3,meet(X4,join(X3,X2))))) = meet(X4,join(X3,X2)),
inference(substitution,[status(thm)],[c106]) ).
cnf(c108,plain,
meet(X4,join(X3,meet(X4,join(X3,X2)))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c80,c107]) ).
cnf(c109,plain,
meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5)))))))) = meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5)))))),
inference(substitution,[status(thm)],[c108]) ).
cnf(c110,plain,
meet(meet(X7,join(X6,X5)),meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5))))))))) = meet(meet(X7,join(X6,X5)),meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5))))))),
inference(congruence,[status(thm)],[c109]) ).
cnf(c111,plain,
meet(meet(X7,join(X6,X5)),meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5))))))) = meet(join(X6,meet(X4,join(X5,meet(X3,join(X6,X5))))),meet(X7,join(X6,X5))),
inference(substitution,[status(thm)],[c32]) ).
cnf(c112,plain,
meet(join(X5,meet(X3,join(X4,meet(X2,join(X5,X4))))),meet(X6,join(X5,X4))) = meet(meet(X6,join(X5,X4)),join(X5,meet(X3,join(X4,meet(X2,join(X5,X4)))))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c113,plain,
meet(X2,meet(X4,X3)) = meet(meet(X4,X3),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c114,plain,
meet(meet(X4,X3),X2) = meet(X2,meet(X4,X3)),
inference(symmetry,[status(thm)],[c113]) ).
cnf(c115,plain,
meet(meet(X2,X4),X3) = meet(X3,meet(X2,X4)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c116,plain,
meet(X3,meet(X2,X4)) = meet(meet(X2,X4),X3),
inference(symmetry,[status(thm)],[c115]) ).
cnf(c117,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c118,plain,
meet(meet(X2,X4),X3) = meet(meet(X4,X2),X3),
inference(congruence,[status(thm)],[c117]) ).
cnf(c119,plain,
meet(meet(X4,X2),X3) = meet(X4,meet(X2,X3)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c120,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c121,plain,
meet(X4,meet(X2,X3)) = meet(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c120]) ).
cnf(c122,plain,
meet(meet(X4,X2),X3) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c119,c121]) ).
cnf(c123,plain,
meet(meet(X2,X4),X3) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c118,c122]) ).
cnf(c124,plain,
meet(X3,meet(X2,X4)) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c116,c123]) ).
cnf(c125,plain,
meet(X2,meet(X4,X3)) = meet(X3,meet(X2,X4)),
inference(substitution,[status(thm)],[c124]) ).
cnf(c126,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c127,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c126]) ).
cnf(c128,plain,
meet(X3,meet(X2,X4)) = meet(X3,meet(X4,X2)),
inference(congruence,[status(thm)],[c127]) ).
cnf(c129,plain,
meet(X3,meet(X4,X2)) = meet(meet(X4,X2),X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c130,plain,
meet(X3,meet(X2,X4)) = meet(meet(X4,X2),X3),
inference(transitivity,[status(thm)],[c128,c129]) ).
cnf(c131,plain,
meet(X2,meet(X4,X3)) = meet(meet(X4,X2),X3),
inference(transitivity,[status(thm)],[c125,c130]) ).
cnf(c132,plain,
meet(meet(X4,X3),X2) = meet(meet(X4,X2),X3),
inference(transitivity,[status(thm)],[c114,c131]) ).
cnf(c133,plain,
meet(meet(X6,join(X5,X4)),join(X5,meet(X3,join(X4,meet(X2,join(X5,X4)))))) = meet(meet(X6,join(X5,meet(X3,join(X4,meet(X2,join(X5,X4)))))),join(X5,X4)),
inference(substitution,[status(thm)],[c132]) ).
cnf(c134,plain,
meet(meet(X4,X3),meet(X4,X2)) = meet(X2,meet(meet(X4,X3),X4)),
inference(substitution,[status(thm)],[c124]) ).
cnf(c135,plain,
join(X3,meet(X3,X2)) = join(meet(X3,X2),X3),
inference(substitution,[status(thm)],[c20]) ).
cnf(c136,plain,
join(meet(X3,X2),X3) = join(X3,meet(X3,X2)),
inference(symmetry,[status(thm)],[c135]) ).
cnf(c137,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c138,plain,
join(X3,meet(X3,X2)) = join(X3,meet(X2,X3)),
inference(congruence,[status(thm)],[c137]) ).
cnf(c139,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c140,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c139]) ).
cnf(c141,plain,
join(X3,meet(X2,X3)) = join(X3,meet(X3,X2)),
inference(congruence,[status(thm)],[c140]) ).
cnf(c142,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c42]) ).
cnf(c143,plain,
join(X3,meet(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c141,c142]) ).
cnf(c144,plain,
join(X3,meet(X3,X2)) = X3,
inference(transitivity,[status(thm)],[c138,c143]) ).
cnf(c145,plain,
join(meet(X3,X2),X3) = X3,
inference(transitivity,[status(thm)],[c136,c144]) ).
cnf(c146,plain,
X3 = join(meet(X3,X2),X3),
inference(symmetry,[status(thm)],[c145]) ).
cnf(c147,plain,
meet(meet(X3,X2),X3) = meet(meet(X3,X2),join(meet(X3,X2),X3)),
inference(congruence,[status(thm)],[c146]) ).
cnf(c148,plain,
meet(meet(X3,X2),join(meet(X3,X2),X3)) = meet(X3,X2),
inference(substitution,[status(thm)],[c23]) ).
cnf(c149,plain,
meet(meet(X3,X2),X3) = meet(X3,X2),
inference(transitivity,[status(thm)],[c147,c148]) ).
cnf(c150,plain,
meet(X2,meet(meet(X4,X3),X4)) = meet(X2,meet(X4,X3)),
inference(congruence,[status(thm)],[c149]) ).
cnf(c151,plain,
meet(X2,meet(X4,X3)) = meet(meet(X4,X3),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c152,plain,
meet(X2,meet(meet(X4,X3),X4)) = meet(meet(X4,X3),X2),
inference(transitivity,[status(thm)],[c150,c151]) ).
cnf(c153,plain,
meet(meet(X4,X3),meet(X4,X2)) = meet(meet(X4,X3),X2),
inference(transitivity,[status(thm)],[c134,c152]) ).
cnf(c154,plain,
meet(meet(X6,join(X5,meet(X3,join(X4,meet(X2,join(X5,X4)))))),meet(X6,join(X5,X4))) = meet(meet(X6,join(X5,meet(X3,join(X4,meet(X2,join(X5,X4)))))),join(X5,X4)),
inference(substitution,[status(thm)],[c153]) ).
cnf(c155,plain,
meet(meet(X6,join(X5,meet(X3,join(X4,meet(X2,join(X5,X4)))))),join(X5,X4)) = meet(meet(X6,join(X5,meet(X3,join(X4,meet(X2,join(X5,X4)))))),meet(X6,join(X5,X4))),
inference(symmetry,[status(thm)],[c154]) ).
cnf(c156,plain,
meet(meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),meet(X6,join(X5,X3))) = meet(meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),join(X5,X3)),
inference(substitution,[status(thm)],[c153]) ).
cnf(c157,plain,
join(join(X4,X3),join(X3,meet(X2,join(X4,X3)))) = join(meet(X2,join(X4,X3)),join(join(X4,X3),X3)),
inference(substitution,[status(thm)],[c61]) ).
cnf(c158,plain,
meet(X2,join(X3,X2)) = meet(join(X3,X2),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c159,plain,
meet(join(X3,X2),X2) = meet(X2,join(X3,X2)),
inference(symmetry,[status(thm)],[c158]) ).
cnf(c160,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c20]) ).
cnf(c161,plain,
meet(X2,join(X3,X2)) = meet(X2,join(X2,X3)),
inference(congruence,[status(thm)],[c160]) ).
cnf(c162,plain,
meet(X2,join(X2,X3)) = X2,
inference(substitution,[status(thm)],[c23]) ).
cnf(c163,plain,
meet(X2,join(X3,X2)) = X2,
inference(transitivity,[status(thm)],[c161,c162]) ).
cnf(c164,plain,
meet(join(X3,X2),X2) = X2,
inference(transitivity,[status(thm)],[c159,c163]) ).
cnf(c165,plain,
X2 = meet(join(X3,X2),X2),
inference(symmetry,[status(thm)],[c164]) ).
cnf(c166,plain,
join(join(X3,X2),X2) = join(join(X3,X2),meet(join(X3,X2),X2)),
inference(congruence,[status(thm)],[c165]) ).
cnf(c167,plain,
join(join(X3,X2),meet(join(X3,X2),X2)) = join(X3,X2),
inference(substitution,[status(thm)],[c42]) ).
cnf(c168,plain,
join(join(X3,X2),X2) = join(X3,X2),
inference(transitivity,[status(thm)],[c166,c167]) ).
cnf(c169,plain,
join(meet(X2,join(X4,X3)),join(join(X4,X3),X3)) = join(meet(X2,join(X4,X3)),join(X4,X3)),
inference(congruence,[status(thm)],[c168]) ).
cnf(c170,plain,
join(X2,meet(X3,X2)) = join(meet(X3,X2),X2),
inference(substitution,[status(thm)],[c20]) ).
cnf(c171,plain,
join(meet(X3,X2),X2) = join(X2,meet(X3,X2)),
inference(symmetry,[status(thm)],[c170]) ).
cnf(c172,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c173,plain,
join(X2,meet(X3,X2)) = join(X2,meet(X2,X3)),
inference(congruence,[status(thm)],[c172]) ).
cnf(c174,plain,
join(X2,meet(X2,X3)) = X2,
inference(substitution,[status(thm)],[c42]) ).
cnf(c175,plain,
join(X2,meet(X3,X2)) = X2,
inference(transitivity,[status(thm)],[c173,c174]) ).
cnf(c176,plain,
join(meet(X3,X2),X2) = X2,
inference(transitivity,[status(thm)],[c171,c175]) ).
cnf(c177,plain,
join(meet(X2,join(X4,X3)),join(X4,X3)) = join(X4,X3),
inference(substitution,[status(thm)],[c176]) ).
cnf(c178,plain,
join(meet(X2,join(X4,X3)),join(join(X4,X3),X3)) = join(X4,X3),
inference(transitivity,[status(thm)],[c169,c177]) ).
cnf(c179,plain,
join(join(X4,X3),join(X3,meet(X2,join(X4,X3)))) = join(X4,X3),
inference(transitivity,[status(thm)],[c157,c178]) ).
cnf(c180,plain,
join(join(X2,X4),join(X4,meet(X3,join(X2,X4)))) = join(X2,X4),
inference(substitution,[status(thm)],[c179]) ).
cnf(c181,plain,
join(X2,X4) = join(join(X2,X4),join(X4,meet(X3,join(X2,X4)))),
inference(symmetry,[status(thm)],[c180]) ).
cnf(c182,plain,
join(meet(X5,join(X4,meet(X3,join(X2,X4)))),join(X2,X4)) = join(meet(X5,join(X4,meet(X3,join(X2,X4)))),join(join(X2,X4),join(X4,meet(X3,join(X2,X4))))),
inference(congruence,[status(thm)],[c181]) ).
cnf(c183,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c20]) ).
cnf(c184,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c183]) ).
cnf(c185,plain,
join(meet(X4,X3),join(X2,X3)) = join(meet(X4,X3),join(X3,X2)),
inference(congruence,[status(thm)],[c184]) ).
cnf(c186,plain,
join(join(meet(X4,X3),X3),X2) = join(meet(X4,X3),join(X3,X2)),
inference(substitution,[status(thm)],[c55]) ).
cnf(c187,plain,
join(meet(X4,X3),join(X3,X2)) = join(join(meet(X4,X3),X3),X2),
inference(symmetry,[status(thm)],[c186]) ).
cnf(c188,plain,
join(join(meet(X4,X3),X3),X2) = join(X3,X2),
inference(congruence,[status(thm)],[c176]) ).
cnf(c189,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c20]) ).
cnf(c190,plain,
join(join(meet(X4,X3),X3),X2) = join(X2,X3),
inference(transitivity,[status(thm)],[c188,c189]) ).
cnf(c191,plain,
join(meet(X4,X3),join(X3,X2)) = join(X2,X3),
inference(transitivity,[status(thm)],[c187,c190]) ).
cnf(c192,plain,
join(meet(X4,X3),join(X2,X3)) = join(X2,X3),
inference(transitivity,[status(thm)],[c185,c191]) ).
cnf(c193,plain,
join(meet(X5,join(X4,meet(X3,join(X2,X4)))),join(join(X2,X4),join(X4,meet(X3,join(X2,X4))))) = join(join(X2,X4),join(X4,meet(X3,join(X2,X4)))),
inference(substitution,[status(thm)],[c192]) ).
cnf(c194,plain,
join(join(X2,X4),join(X4,meet(X3,join(X2,X4)))) = join(X2,X4),
inference(substitution,[status(thm)],[c179]) ).
cnf(c195,plain,
join(meet(X5,join(X4,meet(X3,join(X2,X4)))),join(join(X2,X4),join(X4,meet(X3,join(X2,X4))))) = join(X2,X4),
inference(transitivity,[status(thm)],[c193,c194]) ).
cnf(c196,plain,
join(meet(X5,join(X4,meet(X3,join(X2,X4)))),join(X2,X4)) = join(X2,X4),
inference(transitivity,[status(thm)],[c182,c195]) ).
cnf(c197,plain,
join(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X5,X3)) = join(X5,X3),
inference(substitution,[status(thm)],[c196]) ).
cnf(c198,plain,
join(X5,X3) = join(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X5,X3)),
inference(symmetry,[status(thm)],[c197]) ).
cnf(c199,plain,
join(meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),join(X5,X3)) = join(meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),join(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X5,X3))),
inference(congruence,[status(thm)],[c198]) ).
cnf(c200,plain,
join(X2,join(X4,X3)) = join(join(X4,X3),X2),
inference(substitution,[status(thm)],[c20]) ).
cnf(c201,plain,
join(join(X4,X3),X2) = join(X2,join(X4,X3)),
inference(symmetry,[status(thm)],[c200]) ).
cnf(c202,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c20]) ).
cnf(c203,plain,
join(X2,join(X4,X3)) = join(X2,join(X3,X4)),
inference(congruence,[status(thm)],[c202]) ).
cnf(c204,plain,
join(X3,join(X4,X2)) = join(X2,join(X3,X4)),
inference(substitution,[status(thm)],[c61]) ).
cnf(c205,plain,
join(X2,join(X3,X4)) = join(X3,join(X4,X2)),
inference(symmetry,[status(thm)],[c204]) ).
cnf(c206,plain,
join(X2,join(X4,X3)) = join(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c203,c205]) ).
cnf(c207,plain,
join(join(X4,X3),X2) = join(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c201,c206]) ).
cnf(c208,plain,
join(join(X5,meet(X4,join(X3,meet(X2,join(X5,X3))))),X3) = join(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X5,X3)),
inference(substitution,[status(thm)],[c207]) ).
cnf(c209,plain,
join(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X5,X3)) = join(join(X5,meet(X4,join(X3,meet(X2,join(X5,X3))))),X3),
inference(symmetry,[status(thm)],[c208]) ).
cnf(c210,plain,
join(meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),join(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X5,X3))) = join(meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),join(join(X5,meet(X4,join(X3,meet(X2,join(X5,X3))))),X3)),
inference(congruence,[status(thm)],[c209]) ).
cnf(c211,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c20]) ).
cnf(c212,plain,
join(X3,X2) = join(X2,X3),
inference(symmetry,[status(thm)],[c211]) ).
cnf(c213,plain,
join(meet(X4,X3),join(X3,X2)) = join(meet(X4,X3),join(X2,X3)),
inference(congruence,[status(thm)],[c212]) ).
cnf(c214,plain,
join(meet(X4,X3),join(X3,X2)) = join(X2,X3),
inference(transitivity,[status(thm)],[c213,c192]) ).
cnf(c215,plain,
join(meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),join(join(X5,meet(X4,join(X3,meet(X2,join(X5,X3))))),X3)) = join(X3,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),
inference(substitution,[status(thm)],[c214]) ).
cnf(c216,plain,
join(X3,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))) = join(join(X5,meet(X4,join(X3,meet(X2,join(X5,X3))))),X3),
inference(substitution,[status(thm)],[c20]) ).
cnf(c217,plain,
join(join(X5,meet(X4,join(X3,meet(X2,join(X5,X3))))),X3) = join(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X5,X3)),
inference(substitution,[status(thm)],[c207]) ).
cnf(c218,plain,
join(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X5,X3)) = join(X5,X3),
inference(substitution,[status(thm)],[c196]) ).
cnf(c219,plain,
join(join(X5,meet(X4,join(X3,meet(X2,join(X5,X3))))),X3) = join(X5,X3),
inference(transitivity,[status(thm)],[c217,c218]) ).
cnf(c220,plain,
join(X3,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))) = join(X5,X3),
inference(transitivity,[status(thm)],[c216,c219]) ).
cnf(c221,plain,
join(meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),join(join(X5,meet(X4,join(X3,meet(X2,join(X5,X3))))),X3)) = join(X5,X3),
inference(transitivity,[status(thm)],[c215,c220]) ).
cnf(c222,plain,
join(meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),join(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X5,X3))) = join(X5,X3),
inference(transitivity,[status(thm)],[c210,c221]) ).
cnf(c223,plain,
join(meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),join(X5,X3)) = join(X5,X3),
inference(transitivity,[status(thm)],[c199,c222]) ).
cnf(c224,plain,
join(X5,X3) = join(meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),join(X5,X3)),
inference(symmetry,[status(thm)],[c223]) ).
cnf(c225,plain,
meet(meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),join(X5,X3)) = meet(meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),join(meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),join(X5,X3))),
inference(congruence,[status(thm)],[c224]) ).
cnf(c226,plain,
meet(meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),join(meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),join(X5,X3))) = meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),
inference(substitution,[status(thm)],[c23]) ).
cnf(c227,plain,
meet(meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),join(X5,X3)) = meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),
inference(transitivity,[status(thm)],[c225,c226]) ).
cnf(c228,plain,
meet(meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),meet(X6,join(X5,X3))) = meet(X6,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),
inference(transitivity,[status(thm)],[c156,c227]) ).
cnf(c229,plain,
meet(meet(X6,join(X5,meet(X3,join(X4,meet(X2,join(X5,X4)))))),meet(X6,join(X5,X4))) = meet(X6,join(X5,meet(X3,join(X4,meet(X2,join(X5,X4)))))),
inference(substitution,[status(thm)],[c228]) ).
cnf(c230,plain,
meet(meet(X6,join(X5,meet(X3,join(X4,meet(X2,join(X5,X4)))))),join(X5,X4)) = meet(X6,join(X5,meet(X3,join(X4,meet(X2,join(X5,X4)))))),
inference(transitivity,[status(thm)],[c155,c229]) ).
cnf(c231,plain,
meet(meet(X6,join(X5,X4)),join(X5,meet(X3,join(X4,meet(X2,join(X5,X4)))))) = meet(X6,join(X5,meet(X3,join(X4,meet(X2,join(X5,X4)))))),
inference(transitivity,[status(thm)],[c133,c230]) ).
cnf(c232,plain,
meet(join(X5,meet(X3,join(X4,meet(X2,join(X5,X4))))),meet(X6,join(X5,X4))) = meet(X6,join(X5,meet(X3,join(X4,meet(X2,join(X5,X4)))))),
inference(transitivity,[status(thm)],[c112,c231]) ).
cnf(c233,plain,
meet(meet(X7,join(X6,X5)),meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5))))))) = meet(X7,join(X6,meet(X4,join(X5,meet(X3,join(X6,X5)))))),
inference(transitivity,[status(thm)],[c111,c232]) ).
cnf(c234,plain,
meet(meet(X7,join(X6,X5)),meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5))))))))) = meet(X7,join(X6,meet(X4,join(X5,meet(X3,join(X6,X5)))))),
inference(transitivity,[status(thm)],[c110,c233]) ).
cnf(c235,plain,
meet(join(X6,meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5))))))),meet(X7,join(X6,X5))) = meet(X7,join(X6,meet(X4,join(X5,meet(X3,join(X6,X5)))))),
inference(transitivity,[status(thm)],[c34,c234]) ).
cnf(c236,plain,
meet(meet(X7,join(X6,X5)),join(X6,meet(join(X2,meet(X7,join(X6,X5))),join(X6,meet(X4,join(X5,meet(X3,join(X6,X5)))))))) = meet(X7,join(X6,meet(X4,join(X5,meet(X3,join(X6,X5)))))),
inference(transitivity,[status(thm)],[c10,c235]) ).
cnf(c237,plain,
meet(meet(X7,join(X6,X5)),join(X6,meet(join(X6,meet(X4,join(X5,meet(X3,join(X6,X5))))),join(X2,meet(X7,join(X6,X5)))))) = meet(X7,join(X6,meet(X4,join(X5,meet(X3,join(X6,X5)))))),
inference(transitivity,[status(thm)],[c8,c236]) ).
cnf(c238,plain,
meet(meet(X5,join(X4,X2)),join(X4,meet(join(X4,meet(X3,join(X2,meet(X5,join(X4,X2))))),join(X2,meet(X5,join(X4,X2)))))) = meet(X5,join(X4,meet(X3,join(X2,meet(X5,join(X4,X2)))))),
inference(substitution,[status(thm)],[c237]) ).
cnf(c239,plain,
meet(X5,join(X4,meet(X3,join(X2,meet(X5,join(X4,X2)))))) = meet(meet(X5,join(X4,X2)),join(X4,meet(join(X4,meet(X3,join(X2,meet(X5,join(X4,X2))))),join(X2,meet(X5,join(X4,X2)))))),
inference(symmetry,[status(thm)],[c238]) ).
cnf(c240,plain,
meet(join(X3,meet(X2,join(X5,X3))),join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))) = meet(join(X5,meet(X4,join(X3,meet(X2,join(X5,X3))))),join(X3,meet(X2,join(X5,X3)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c241,plain,
meet(join(X5,meet(X4,join(X3,meet(X2,join(X5,X3))))),join(X3,meet(X2,join(X5,X3)))) = meet(join(X3,meet(X2,join(X5,X3))),join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))),
inference(symmetry,[status(thm)],[c240]) ).
cnf(c242,plain,
X2 = join(meet(X3,X2),X2),
inference(symmetry,[status(thm)],[c176]) ).
cnf(c243,plain,
meet(meet(X3,X2),X2) = meet(meet(X3,X2),join(meet(X3,X2),X2)),
inference(congruence,[status(thm)],[c242]) ).
cnf(c244,plain,
meet(meet(X3,X2),join(meet(X3,X2),X2)) = meet(X3,X2),
inference(substitution,[status(thm)],[c23]) ).
cnf(c245,plain,
meet(meet(X3,X2),X2) = meet(X3,X2),
inference(transitivity,[status(thm)],[c243,c244]) ).
cnf(c246,plain,
meet(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X3,meet(X2,join(X5,X3)))) = meet(X4,join(X3,meet(X2,join(X5,X3)))),
inference(substitution,[status(thm)],[c245]) ).
cnf(c247,plain,
meet(X4,join(X3,meet(X2,join(X5,X3)))) = meet(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X3,meet(X2,join(X5,X3)))),
inference(symmetry,[status(thm)],[c246]) ).
cnf(c248,plain,
join(X5,meet(X4,join(X3,meet(X2,join(X5,X3))))) = join(X5,meet(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X3,meet(X2,join(X5,X3))))),
inference(congruence,[status(thm)],[c247]) ).
cnf(c249,plain,
meet(join(X3,meet(X2,join(X5,X3))),join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))) = meet(join(X3,meet(X2,join(X5,X3))),join(X5,meet(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X3,meet(X2,join(X5,X3)))))),
inference(congruence,[status(thm)],[c248]) ).
cnf(c250,plain,
meet(join(X5,meet(X4,join(X3,X5))),X2) = meet(X2,join(X5,meet(X4,join(X3,X5)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c251,plain,
meet(X2,join(X5,meet(X4,join(X3,X5)))) = meet(join(X5,meet(X4,join(X3,X5))),X2),
inference(symmetry,[status(thm)],[c250]) ).
cnf(c252,plain,
join(X3,meet(X2,join(X5,meet(X4,join(X3,X5))))) = join(X3,meet(join(X5,meet(X4,join(X3,X5))),X2)),
inference(congruence,[status(thm)],[c251]) ).
cnf(c253,plain,
meet(join(X5,meet(X4,join(X3,X5))),join(X3,meet(X2,join(X5,meet(X4,join(X3,X5)))))) = meet(join(X5,meet(X4,join(X3,X5))),join(X3,meet(join(X5,meet(X4,join(X3,X5))),X2))),
inference(congruence,[status(thm)],[c252]) ).
cnf(c254,axiom,
meet(X2,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c255,plain,
X2 = meet(X2,X2),
inference(symmetry,[status(thm)],[c254]) ).
cnf(c256,plain,
join(X3,X2) = join(X3,meet(X2,X2)),
inference(congruence,[status(thm)],[c255]) ).
cnf(c257,plain,
meet(X2,join(X4,X3)) = meet(X2,join(X4,meet(X3,X3))),
inference(congruence,[status(thm)],[c256]) ).
cnf(c258,plain,
join(X3,meet(X2,join(X4,X3))) = join(X3,meet(X2,join(X4,meet(X3,X3)))),
inference(congruence,[status(thm)],[c257]) ).
cnf(c259,plain,
meet(X4,join(X3,meet(X2,join(X4,X3)))) = meet(X4,join(X3,meet(X2,join(X4,meet(X3,X3))))),
inference(congruence,[status(thm)],[c258]) ).
cnf(c260,plain,
join(join(X3,X3),X2) = join(X3,join(X3,X2)),
inference(substitution,[status(thm)],[c55]) ).
cnf(c261,plain,
join(X3,join(X3,X2)) = join(join(X3,X3),X2),
inference(symmetry,[status(thm)],[c260]) ).
cnf(c262,axiom,
join(X2,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c263,plain,
join(join(X3,X3),X2) = join(X3,X2),
inference(congruence,[status(thm)],[c262]) ).
cnf(c264,plain,
join(X3,join(X3,X2)) = join(X3,X2),
inference(transitivity,[status(thm)],[c261,c263]) ).
cnf(c265,plain,
join(X3,join(X3,meet(X2,join(X4,meet(X3,X3))))) = join(X3,meet(X2,join(X4,meet(X3,X3)))),
inference(substitution,[status(thm)],[c264]) ).
cnf(c266,plain,
join(X3,meet(X2,join(X4,meet(X3,X3)))) = join(X3,join(X3,meet(X2,join(X4,meet(X3,X3))))),
inference(symmetry,[status(thm)],[c265]) ).
cnf(c267,plain,
meet(X4,join(X3,meet(X2,join(X4,meet(X3,X3))))) = meet(X4,join(X3,join(X3,meet(X2,join(X4,meet(X3,X3)))))),
inference(congruence,[status(thm)],[c266]) ).
cnf(c268,axiom,
meet(X2,join(Y2,join(Z2,meet(X2,U)))) = meet(X2,join(Y2,join(Z2,meet(U,join(X2,meet(Y2,Z2)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H37) ).
cnf(c269,plain,
meet(X4,join(X3,join(X3,meet(X4,X2)))) = meet(X4,join(X3,join(X3,meet(X2,join(X4,meet(X3,X3)))))),
inference(substitution,[status(thm)],[c268]) ).
cnf(c270,plain,
meet(X4,join(X3,join(X3,meet(X2,join(X4,meet(X3,X3)))))) = meet(X4,join(X3,join(X3,meet(X4,X2)))),
inference(symmetry,[status(thm)],[c269]) ).
cnf(c271,plain,
join(X3,join(X3,meet(X4,X2))) = join(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c264]) ).
cnf(c272,plain,
meet(X4,join(X3,join(X3,meet(X4,X2)))) = meet(X4,join(X3,meet(X4,X2))),
inference(congruence,[status(thm)],[c271]) ).
cnf(c273,plain,
meet(X4,join(X3,join(X3,meet(X2,join(X4,meet(X3,X3)))))) = meet(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c270,c272]) ).
cnf(c274,plain,
meet(X4,join(X3,meet(X2,join(X4,meet(X3,X3))))) = meet(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c267,c273]) ).
cnf(c275,plain,
meet(X4,join(X3,meet(X2,join(X4,X3)))) = meet(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c259,c274]) ).
cnf(c276,plain,
meet(join(X5,meet(X4,join(X3,X5))),join(X3,meet(X2,join(join(X5,meet(X4,join(X3,X5))),X3)))) = meet(join(X5,meet(X4,join(X3,X5))),join(X3,meet(join(X5,meet(X4,join(X3,X5))),X2))),
inference(substitution,[status(thm)],[c275]) ).
cnf(c277,plain,
meet(join(X5,meet(X4,join(X3,X5))),join(X3,meet(join(X5,meet(X4,join(X3,X5))),X2))) = meet(join(X5,meet(X4,join(X3,X5))),join(X3,meet(X2,join(join(X5,meet(X4,join(X3,X5))),X3)))),
inference(symmetry,[status(thm)],[c276]) ).
cnf(c278,plain,
join(X2,join(X4,meet(X3,join(X2,X4)))) = join(join(X4,meet(X3,join(X2,X4))),X2),
inference(substitution,[status(thm)],[c20]) ).
cnf(c279,plain,
join(join(X4,meet(X3,join(X2,X4))),X2) = join(X2,join(X4,meet(X3,join(X2,X4)))),
inference(symmetry,[status(thm)],[c278]) ).
cnf(c280,plain,
join(X2,join(X3,X4)) = join(X4,join(X2,X3)),
inference(substitution,[status(thm)],[c61]) ).
cnf(c281,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c20]) ).
cnf(c282,plain,
join(X4,join(X2,X3)) = join(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c281]) ).
cnf(c283,plain,
join(X2,join(X3,X4)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c280,c282]) ).
cnf(c284,plain,
join(X2,join(X4,meet(X3,join(X2,X4)))) = join(meet(X3,join(X2,X4)),join(X4,X2)),
inference(substitution,[status(thm)],[c283]) ).
cnf(c285,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c20]) ).
cnf(c286,plain,
join(X3,X2) = join(X2,X3),
inference(symmetry,[status(thm)],[c285]) ).
cnf(c287,plain,
join(meet(X3,join(X2,X4)),join(X4,X2)) = join(meet(X3,join(X2,X4)),join(X2,X4)),
inference(congruence,[status(thm)],[c286]) ).
cnf(c288,plain,
join(meet(X3,join(X2,X4)),join(X2,X4)) = join(X2,X4),
inference(substitution,[status(thm)],[c176]) ).
cnf(c289,plain,
join(meet(X3,join(X2,X4)),join(X4,X2)) = join(X2,X4),
inference(transitivity,[status(thm)],[c287,c288]) ).
cnf(c290,plain,
join(X2,join(X4,meet(X3,join(X2,X4)))) = join(X2,X4),
inference(transitivity,[status(thm)],[c284,c289]) ).
cnf(c291,plain,
join(join(X4,meet(X3,join(X2,X4))),X2) = join(X2,X4),
inference(transitivity,[status(thm)],[c279,c290]) ).
cnf(c292,plain,
meet(X2,join(join(X5,meet(X4,join(X3,X5))),X3)) = meet(X2,join(X3,X5)),
inference(congruence,[status(thm)],[c291]) ).
cnf(c293,plain,
join(X3,meet(X2,join(join(X5,meet(X4,join(X3,X5))),X3))) = join(X3,meet(X2,join(X3,X5))),
inference(congruence,[status(thm)],[c292]) ).
cnf(c294,plain,
meet(join(X5,meet(X4,join(X3,X5))),join(X3,meet(X2,join(join(X5,meet(X4,join(X3,X5))),X3)))) = meet(join(X5,meet(X4,join(X3,X5))),join(X3,meet(X2,join(X3,X5)))),
inference(congruence,[status(thm)],[c293]) ).
cnf(c295,plain,
meet(join(X5,meet(X4,join(X3,X5))),join(X3,meet(join(X5,meet(X4,join(X3,X5))),X2))) = meet(join(X5,meet(X4,join(X3,X5))),join(X3,meet(X2,join(X3,X5)))),
inference(transitivity,[status(thm)],[c277,c294]) ).
cnf(c296,plain,
meet(join(X5,meet(X4,join(X3,X5))),join(X3,meet(X2,join(X5,meet(X4,join(X3,X5)))))) = meet(join(X5,meet(X4,join(X3,X5))),join(X3,meet(X2,join(X3,X5)))),
inference(transitivity,[status(thm)],[c253,c295]) ).
cnf(c297,plain,
meet(join(X3,meet(X2,join(X5,X3))),join(X5,meet(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X3,meet(X2,join(X5,X3)))))) = meet(join(X3,meet(X2,join(X5,X3))),join(X5,meet(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X5,X3)))),
inference(substitution,[status(thm)],[c296]) ).
cnf(c298,plain,
meet(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X5,X3)) = meet(meet(X4,join(X5,X3)),join(X3,meet(X2,join(X5,X3)))),
inference(substitution,[status(thm)],[c132]) ).
cnf(c299,plain,
join(X5,meet(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X5,X3))) = join(X5,meet(meet(X4,join(X5,X3)),join(X3,meet(X2,join(X5,X3))))),
inference(congruence,[status(thm)],[c298]) ).
cnf(c300,plain,
meet(join(X3,meet(X2,join(X5,X3))),join(X5,meet(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X5,X3)))) = meet(join(X3,meet(X2,join(X5,X3))),join(X5,meet(meet(X4,join(X5,X3)),join(X3,meet(X2,join(X5,X3)))))),
inference(congruence,[status(thm)],[c299]) ).
cnf(c301,plain,
meet(join(X3,meet(X2,join(X5,X3))),join(X5,meet(meet(X4,join(X5,X3)),join(X3,meet(X2,join(X5,X3)))))) = meet(join(X3,meet(X2,join(X5,X3))),join(X5,meet(meet(X4,join(X5,X3)),join(X5,X3)))),
inference(substitution,[status(thm)],[c296]) ).
cnf(c302,plain,
meet(meet(X3,join(X4,X2)),join(X4,X2)) = meet(X3,join(X4,X2)),
inference(substitution,[status(thm)],[c245]) ).
cnf(c303,plain,
join(X4,meet(meet(X3,join(X4,X2)),join(X4,X2))) = join(X4,meet(X3,join(X4,X2))),
inference(congruence,[status(thm)],[c302]) ).
cnf(c304,plain,
meet(join(X3,meet(X2,join(X5,X3))),join(X5,meet(meet(X4,join(X5,X3)),join(X5,X3)))) = meet(join(X3,meet(X2,join(X5,X3))),join(X5,meet(X4,join(X5,X3)))),
inference(congruence,[status(thm)],[c303]) ).
cnf(c305,plain,
meet(join(X3,meet(X2,join(X5,X3))),join(X5,meet(X4,join(X5,X3)))) = meet(join(X5,meet(X4,join(X5,X3))),join(X3,meet(X2,join(X5,X3)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c306,plain,
meet(join(X3,meet(X2,join(X5,X3))),join(X5,meet(meet(X4,join(X5,X3)),join(X5,X3)))) = meet(join(X5,meet(X4,join(X5,X3))),join(X3,meet(X2,join(X5,X3)))),
inference(transitivity,[status(thm)],[c304,c305]) ).
cnf(c307,plain,
meet(join(X3,meet(X2,join(X5,X3))),join(X5,meet(meet(X4,join(X5,X3)),join(X3,meet(X2,join(X5,X3)))))) = meet(join(X5,meet(X4,join(X5,X3))),join(X3,meet(X2,join(X5,X3)))),
inference(transitivity,[status(thm)],[c301,c306]) ).
cnf(c308,plain,
meet(join(X3,meet(X2,join(X5,X3))),join(X5,meet(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X5,X3)))) = meet(join(X5,meet(X4,join(X5,X3))),join(X3,meet(X2,join(X5,X3)))),
inference(transitivity,[status(thm)],[c300,c307]) ).
cnf(c309,plain,
meet(join(X3,meet(X2,join(X5,X3))),join(X5,meet(meet(X4,join(X3,meet(X2,join(X5,X3)))),join(X3,meet(X2,join(X5,X3)))))) = meet(join(X5,meet(X4,join(X5,X3))),join(X3,meet(X2,join(X5,X3)))),
inference(transitivity,[status(thm)],[c297,c308]) ).
cnf(c310,plain,
meet(join(X3,meet(X2,join(X5,X3))),join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))) = meet(join(X5,meet(X4,join(X5,X3))),join(X3,meet(X2,join(X5,X3)))),
inference(transitivity,[status(thm)],[c249,c309]) ).
cnf(c311,plain,
meet(join(X5,meet(X4,join(X3,meet(X2,join(X5,X3))))),join(X3,meet(X2,join(X5,X3)))) = meet(join(X5,meet(X4,join(X5,X3))),join(X3,meet(X2,join(X5,X3)))),
inference(transitivity,[status(thm)],[c241,c310]) ).
cnf(c312,plain,
meet(join(X4,meet(X3,join(X2,meet(X5,join(X4,X2))))),join(X2,meet(X5,join(X4,X2)))) = meet(join(X4,meet(X3,join(X4,X2))),join(X2,meet(X5,join(X4,X2)))),
inference(substitution,[status(thm)],[c311]) ).
cnf(c313,plain,
join(X4,meet(join(X4,meet(X3,join(X2,meet(X5,join(X4,X2))))),join(X2,meet(X5,join(X4,X2))))) = join(X4,meet(join(X4,meet(X3,join(X4,X2))),join(X2,meet(X5,join(X4,X2))))),
inference(congruence,[status(thm)],[c312]) ).
cnf(c314,plain,
meet(meet(X5,join(X4,X2)),join(X4,meet(join(X4,meet(X3,join(X2,meet(X5,join(X4,X2))))),join(X2,meet(X5,join(X4,X2)))))) = meet(meet(X5,join(X4,X2)),join(X4,meet(join(X4,meet(X3,join(X4,X2))),join(X2,meet(X5,join(X4,X2)))))),
inference(congruence,[status(thm)],[c313]) ).
cnf(c315,plain,
meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4)))) = meet(join(X5,meet(X3,join(X5,X4))),join(X2,meet(X6,join(X5,X4)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c316,plain,
meet(join(X5,meet(X3,join(X5,X4))),join(X2,meet(X6,join(X5,X4)))) = meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4)))),
inference(symmetry,[status(thm)],[c315]) ).
cnf(c317,plain,
join(X5,meet(join(X5,meet(X3,join(X5,X4))),join(X2,meet(X6,join(X5,X4))))) = join(X5,meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4))))),
inference(congruence,[status(thm)],[c316]) ).
cnf(c318,plain,
meet(meet(X6,join(X5,X4)),join(X5,meet(join(X5,meet(X3,join(X5,X4))),join(X2,meet(X6,join(X5,X4)))))) = meet(meet(X6,join(X5,X4)),join(X5,meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4)))))),
inference(congruence,[status(thm)],[c317]) ).
cnf(c319,plain,
meet(join(X5,meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4))))),meet(X6,join(X5,X4))) = meet(meet(X6,join(X5,X4)),join(X5,meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4)))))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c320,plain,
meet(meet(X6,join(X5,X4)),join(X5,meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4)))))) = meet(join(X5,meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4))))),meet(X6,join(X5,X4))),
inference(symmetry,[status(thm)],[c319]) ).
cnf(c321,plain,
meet(meet(X6,join(X5,X4)),meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4))))))) = meet(join(X5,meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4))))),meet(X6,join(X5,X4))),
inference(substitution,[status(thm)],[c32]) ).
cnf(c322,plain,
meet(join(X5,meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4))))),meet(X6,join(X5,X4))) = meet(meet(X6,join(X5,X4)),meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4))))))),
inference(symmetry,[status(thm)],[c321]) ).
cnf(c323,plain,
meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4)))))) = meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4)))),
inference(substitution,[status(thm)],[c108]) ).
cnf(c324,plain,
meet(meet(X6,join(X5,X4)),meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4))))))) = meet(meet(X6,join(X5,X4)),meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4))))),
inference(congruence,[status(thm)],[c323]) ).
cnf(c325,plain,
meet(meet(X6,join(X5,X4)),meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4))))) = meet(join(X5,meet(X3,join(X5,X4))),meet(X6,join(X5,X4))),
inference(substitution,[status(thm)],[c32]) ).
cnf(c326,plain,
meet(join(X4,meet(X2,join(X4,X3))),meet(X5,join(X4,X3))) = meet(meet(X5,join(X4,X3)),join(X4,meet(X2,join(X4,X3)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c327,plain,
meet(meet(X5,join(X4,meet(X2,join(X4,X3)))),join(X4,X3)) = meet(meet(X5,join(X4,X3)),join(X4,meet(X2,join(X4,X3)))),
inference(substitution,[status(thm)],[c132]) ).
cnf(c328,plain,
meet(meet(X5,join(X4,X3)),join(X4,meet(X2,join(X4,X3)))) = meet(meet(X5,join(X4,meet(X2,join(X4,X3)))),join(X4,X3)),
inference(symmetry,[status(thm)],[c327]) ).
cnf(c329,plain,
meet(meet(X5,join(X4,meet(X2,join(X4,X3)))),meet(X5,join(X4,X3))) = meet(meet(X5,join(X4,meet(X2,join(X4,X3)))),join(X4,X3)),
inference(substitution,[status(thm)],[c153]) ).
cnf(c330,plain,
meet(meet(X5,join(X4,meet(X2,join(X4,X3)))),join(X4,X3)) = meet(meet(X5,join(X4,meet(X2,join(X4,X3)))),meet(X5,join(X4,X3))),
inference(symmetry,[status(thm)],[c329]) ).
cnf(c331,plain,
meet(meet(X5,join(X4,meet(X3,join(X4,X2)))),meet(X5,join(X4,X2))) = meet(meet(X5,join(X4,meet(X3,join(X4,X2)))),join(X4,X2)),
inference(substitution,[status(thm)],[c153]) ).
cnf(c332,plain,
join(X2,join(X4,meet(X3,join(X4,X2)))) = join(join(X4,meet(X3,join(X4,X2))),X2),
inference(substitution,[status(thm)],[c20]) ).
cnf(c333,plain,
join(join(X4,meet(X3,join(X4,X2))),X2) = join(X2,join(X4,meet(X3,join(X4,X2)))),
inference(symmetry,[status(thm)],[c332]) ).
cnf(c334,plain,
join(X4,meet(X3,join(X4,X2))) = join(meet(X3,join(X4,X2)),X4),
inference(substitution,[status(thm)],[c20]) ).
cnf(c335,plain,
join(X2,join(X4,meet(X3,join(X4,X2)))) = join(X2,join(meet(X3,join(X4,X2)),X4)),
inference(congruence,[status(thm)],[c334]) ).
cnf(c336,plain,
join(meet(X3,join(X4,X2)),join(X4,X2)) = join(X2,join(meet(X3,join(X4,X2)),X4)),
inference(substitution,[status(thm)],[c61]) ).
cnf(c337,plain,
join(X2,join(meet(X3,join(X4,X2)),X4)) = join(meet(X3,join(X4,X2)),join(X4,X2)),
inference(symmetry,[status(thm)],[c336]) ).
cnf(c338,plain,
join(meet(X3,join(X4,X2)),join(X4,X2)) = join(X4,X2),
inference(substitution,[status(thm)],[c176]) ).
cnf(c339,plain,
join(X2,join(meet(X3,join(X4,X2)),X4)) = join(X4,X2),
inference(transitivity,[status(thm)],[c337,c338]) ).
cnf(c340,plain,
join(X2,join(X4,meet(X3,join(X4,X2)))) = join(X4,X2),
inference(transitivity,[status(thm)],[c335,c339]) ).
cnf(c341,plain,
join(join(X4,meet(X3,join(X4,X2))),X2) = join(X4,X2),
inference(transitivity,[status(thm)],[c333,c340]) ).
cnf(c342,plain,
join(X4,X2) = join(join(X4,meet(X3,join(X4,X2))),X2),
inference(symmetry,[status(thm)],[c341]) ).
cnf(c343,plain,
join(meet(X5,join(X4,meet(X3,join(X4,X2)))),join(X4,X2)) = join(meet(X5,join(X4,meet(X3,join(X4,X2)))),join(join(X4,meet(X3,join(X4,X2))),X2)),
inference(congruence,[status(thm)],[c342]) ).
cnf(c344,plain,
join(meet(X5,join(X4,meet(X3,join(X4,X2)))),join(join(X4,meet(X3,join(X4,X2))),X2)) = join(X2,join(X4,meet(X3,join(X4,X2)))),
inference(substitution,[status(thm)],[c214]) ).
cnf(c345,plain,
join(X2,join(X4,meet(X3,join(X4,X2)))) = join(join(X4,meet(X3,join(X4,X2))),X2),
inference(substitution,[status(thm)],[c20]) ).
cnf(c346,plain,
join(X2,join(X4,meet(X3,join(X4,X2)))) = join(X4,X2),
inference(transitivity,[status(thm)],[c345,c341]) ).
cnf(c347,plain,
join(meet(X5,join(X4,meet(X3,join(X4,X2)))),join(join(X4,meet(X3,join(X4,X2))),X2)) = join(X4,X2),
inference(transitivity,[status(thm)],[c344,c346]) ).
cnf(c348,plain,
join(meet(X5,join(X4,meet(X3,join(X4,X2)))),join(X4,X2)) = join(X4,X2),
inference(transitivity,[status(thm)],[c343,c347]) ).
cnf(c349,plain,
join(X4,X2) = join(meet(X5,join(X4,meet(X3,join(X4,X2)))),join(X4,X2)),
inference(symmetry,[status(thm)],[c348]) ).
cnf(c350,plain,
meet(meet(X5,join(X4,meet(X3,join(X4,X2)))),join(X4,X2)) = meet(meet(X5,join(X4,meet(X3,join(X4,X2)))),join(meet(X5,join(X4,meet(X3,join(X4,X2)))),join(X4,X2))),
inference(congruence,[status(thm)],[c349]) ).
cnf(c351,plain,
meet(meet(X5,join(X4,meet(X3,join(X4,X2)))),join(meet(X5,join(X4,meet(X3,join(X4,X2)))),join(X4,X2))) = meet(X5,join(X4,meet(X3,join(X4,X2)))),
inference(substitution,[status(thm)],[c23]) ).
cnf(c352,plain,
meet(meet(X5,join(X4,meet(X3,join(X4,X2)))),join(X4,X2)) = meet(X5,join(X4,meet(X3,join(X4,X2)))),
inference(transitivity,[status(thm)],[c350,c351]) ).
cnf(c353,plain,
meet(meet(X5,join(X4,meet(X3,join(X4,X2)))),meet(X5,join(X4,X2))) = meet(X5,join(X4,meet(X3,join(X4,X2)))),
inference(transitivity,[status(thm)],[c331,c352]) ).
cnf(c354,plain,
meet(meet(X5,join(X4,meet(X2,join(X4,X3)))),meet(X5,join(X4,X3))) = meet(X5,join(X4,meet(X2,join(X4,X3)))),
inference(substitution,[status(thm)],[c353]) ).
cnf(c355,plain,
meet(meet(X5,join(X4,meet(X2,join(X4,X3)))),join(X4,X3)) = meet(X5,join(X4,meet(X2,join(X4,X3)))),
inference(transitivity,[status(thm)],[c330,c354]) ).
cnf(c356,plain,
meet(meet(X5,join(X4,X3)),join(X4,meet(X2,join(X4,X3)))) = meet(X5,join(X4,meet(X2,join(X4,X3)))),
inference(transitivity,[status(thm)],[c328,c355]) ).
cnf(c357,plain,
meet(join(X4,meet(X2,join(X4,X3))),meet(X5,join(X4,X3))) = meet(X5,join(X4,meet(X2,join(X4,X3)))),
inference(transitivity,[status(thm)],[c326,c356]) ).
cnf(c358,plain,
meet(meet(X6,join(X5,X4)),meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4))))) = meet(X6,join(X5,meet(X3,join(X5,X4)))),
inference(transitivity,[status(thm)],[c325,c357]) ).
cnf(c359,plain,
meet(meet(X6,join(X5,X4)),meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4))))))) = meet(X6,join(X5,meet(X3,join(X5,X4)))),
inference(transitivity,[status(thm)],[c324,c358]) ).
cnf(c360,plain,
meet(join(X5,meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4))))),meet(X6,join(X5,X4))) = meet(X6,join(X5,meet(X3,join(X5,X4)))),
inference(transitivity,[status(thm)],[c322,c359]) ).
cnf(c361,plain,
meet(meet(X6,join(X5,X4)),join(X5,meet(join(X2,meet(X6,join(X5,X4))),join(X5,meet(X3,join(X5,X4)))))) = meet(X6,join(X5,meet(X3,join(X5,X4)))),
inference(transitivity,[status(thm)],[c320,c360]) ).
cnf(c362,plain,
meet(meet(X6,join(X5,X4)),join(X5,meet(join(X5,meet(X3,join(X5,X4))),join(X2,meet(X6,join(X5,X4)))))) = meet(X6,join(X5,meet(X3,join(X5,X4)))),
inference(transitivity,[status(thm)],[c318,c361]) ).
cnf(c363,plain,
meet(meet(X5,join(X4,X2)),join(X4,meet(join(X4,meet(X3,join(X4,X2))),join(X2,meet(X5,join(X4,X2)))))) = meet(X5,join(X4,meet(X3,join(X4,X2)))),
inference(substitution,[status(thm)],[c362]) ).
cnf(c364,plain,
meet(meet(X5,join(X4,X2)),join(X4,meet(join(X4,meet(X3,join(X2,meet(X5,join(X4,X2))))),join(X2,meet(X5,join(X4,X2)))))) = meet(X5,join(X4,meet(X3,join(X4,X2)))),
inference(transitivity,[status(thm)],[c314,c363]) ).
cnf(c365,plain,
meet(X5,join(X4,meet(X3,join(X2,meet(X5,join(X4,X2)))))) = meet(X5,join(X4,meet(X3,join(X4,X2)))),
inference(transitivity,[status(thm)],[c239,c364]) ).
cnf(c366,plain,
meet(X2,join(X5,meet(X4,join(X3,meet(X2,join(X5,X3)))))) = meet(X2,join(X5,meet(X4,join(X5,X3)))),
inference(substitution,[status(thm)],[c365]) ).
cnf(c367,plain,
meet(join(X5,meet(X4,join(X3,meet(X2,join(X5,X3))))),X2) = meet(X2,join(X5,meet(X4,join(X5,X3)))),
inference(transitivity,[status(thm)],[c4,c366]) ).
cnf(c368,plain,
meet(join(b,meet(c,join(d,meet(a,join(b,d))))),a) = meet(a,join(b,meet(c,join(b,d)))),
inference(substitution,[status(thm)],[c367]) ).
cnf(c369,plain,
meet(a,join(b,meet(c,join(b,d)))) = meet(join(b,meet(c,join(d,meet(a,join(b,d))))),a),
inference(symmetry,[status(thm)],[c368]) ).
cnf(c370,plain,
meet(a,join(b,meet(c,join(d,meet(a,join(b,d)))))) = meet(join(b,meet(c,join(d,meet(a,join(b,d))))),a),
inference(substitution,[status(thm)],[c2]) ).
cnf(c371,plain,
meet(join(b,meet(c,join(d,meet(a,join(b,d))))),a) = meet(a,join(b,meet(c,join(d,meet(a,join(b,d)))))),
inference(symmetry,[status(thm)],[c370]) ).
cnf(c372,plain,
meet(a,join(b,meet(c,join(b,d)))) = meet(a,join(b,meet(c,join(d,meet(a,join(b,d)))))),
inference(transitivity,[status(thm)],[c369,c371]) ).
cnf(c373,plain,
$false,
inference(resolution,[status(thm)],[c1,c372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT149-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n016.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Sun Sep 27 14:08:17 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 211.01/27.17 Command-line arguments: --stitch /export/starexec/sandbox2/solver/bin/stitch --hint-skel-cost 0 --hint-skel-factor 0.5
% 211.01/27.17
% 211.01/27.17 % SZS status Unsatisfiable
% 211.01/27.17
% 211.99/27.26 % SZS output start CNFRefutation
% See solution above
% 214.41/27.59
% 214.41/27.59 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------