%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT010-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:42:49 AM UTC 2026
% Result : Unsatisfiable 4.89s 1.06s
% Output : CNFRefutation 6.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 9
% Syntax : Number of clauses : 353 ( 353 unt; 0 nHn; 86 RR)
% Number of literals : 353 ( 352 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 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 : 736 ( 47 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
meet(a,meet(join(b,c),join(b,d))) != meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(c2,axiom,
join(X,Y) = join(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
cnf(c3,plain,
join(b,c) = join(c,b),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
meet(join(b,c),join(b,d)) = meet(join(c,b),join(b,d)),
inference(congruence,[status(thm)],[c3]) ).
cnf(c5,plain,
meet(a,meet(join(b,c),join(b,d))) = meet(a,meet(join(c,b),join(b,d))),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,plain,
join(b,d) = join(d,b),
inference(substitution,[status(thm)],[c2]) ).
cnf(c7,plain,
meet(join(c,b),join(b,d)) = meet(join(c,b),join(d,b)),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,plain,
meet(a,meet(join(c,b),join(b,d))) = meet(a,meet(join(c,b),join(d,b))),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,axiom,
meet(meet(X2,Y2),Z) = meet(X2,meet(Y2,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
cnf(c10,plain,
meet(meet(X3,X3),X2) = meet(X3,meet(X3,X2)),
inference(substitution,[status(thm)],[c9]) ).
cnf(c11,plain,
meet(X3,meet(X3,X2)) = meet(meet(X3,X3),X2),
inference(symmetry,[status(thm)],[c10]) ).
cnf(c12,axiom,
meet(X2,X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c13,plain,
meet(meet(X3,X3),X2) = meet(X3,X2),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,plain,
meet(X3,meet(X3,X2)) = meet(X3,X2),
inference(transitivity,[status(thm)],[c11,c13]) ).
cnf(c15,plain,
meet(a,meet(a,meet(join(c,b),join(d,b)))) = meet(a,meet(join(c,b),join(d,b))),
inference(substitution,[status(thm)],[c14]) ).
cnf(c16,plain,
meet(a,meet(join(c,b),join(d,b))) = meet(a,meet(a,meet(join(c,b),join(d,b)))),
inference(symmetry,[status(thm)],[c15]) ).
cnf(c17,axiom,
meet(X2,Y2) = meet(Y2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
cnf(c18,plain,
meet(meet(X2,X4),X3) = meet(X3,meet(X2,X4)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
meet(X4,meet(X3,X2)) = meet(meet(X3,X2),X4),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,plain,
meet(meet(X3,X2),X4) = meet(X3,meet(X2,X4)),
inference(substitution,[status(thm)],[c9]) ).
cnf(c21,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c17]) ).
cnf(c22,plain,
meet(X3,meet(X2,X4)) = meet(X3,meet(X4,X2)),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,plain,
meet(meet(X3,X2),X4) = meet(X3,meet(X4,X2)),
inference(transitivity,[status(thm)],[c20,c22]) ).
cnf(c24,plain,
meet(X4,meet(X3,X2)) = meet(X3,meet(X4,X2)),
inference(transitivity,[status(thm)],[c19,c23]) ).
cnf(c25,plain,
meet(join(c,b),meet(a,join(d,b))) = meet(a,meet(join(c,b),join(d,b))),
inference(substitution,[status(thm)],[c24]) ).
cnf(c26,plain,
meet(a,meet(join(c,b),join(d,b))) = meet(join(c,b),meet(a,join(d,b))),
inference(symmetry,[status(thm)],[c25]) ).
cnf(c27,plain,
meet(a,meet(a,meet(join(c,b),join(d,b)))) = meet(a,meet(join(c,b),meet(a,join(d,b)))),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,plain,
meet(join(d,b),a) = meet(a,join(d,b)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c29,plain,
meet(a,join(d,b)) = meet(join(d,b),a),
inference(symmetry,[status(thm)],[c28]) ).
cnf(c30,plain,
meet(join(c,b),meet(a,join(d,b))) = meet(join(c,b),meet(join(d,b),a)),
inference(congruence,[status(thm)],[c29]) ).
cnf(c31,plain,
meet(a,meet(join(c,b),meet(a,join(d,b)))) = meet(a,meet(join(c,b),meet(join(d,b),a))),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
meet(X3,meet(X4,join(X2,X4))) = meet(X4,meet(X3,join(X2,X4))),
inference(substitution,[status(thm)],[c24]) ).
cnf(c33,plain,
meet(X4,meet(X3,join(X2,X4))) = meet(X3,meet(X4,join(X2,X4))),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c34,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c35,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c34]) ).
cnf(c36,plain,
meet(X3,join(X2,X3)) = meet(X3,join(X3,X2)),
inference(congruence,[status(thm)],[c35]) ).
cnf(c37,axiom,
meet(X2,join(X2,Y2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
cnf(c38,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c37]) ).
cnf(c39,plain,
meet(X3,join(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c36,c38]) ).
cnf(c40,plain,
meet(X3,meet(X4,join(X2,X4))) = meet(X3,X4),
inference(congruence,[status(thm)],[c39]) ).
cnf(c41,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c17]) ).
cnf(c42,plain,
meet(X3,meet(X4,join(X2,X4))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c40,c41]) ).
cnf(c43,plain,
meet(X4,meet(X3,join(X2,X4))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c33,c42]) ).
cnf(c44,plain,
meet(join(d,b),meet(a,join(c,join(d,b)))) = meet(join(d,b),a),
inference(substitution,[status(thm)],[c43]) ).
cnf(c45,plain,
meet(join(d,b),a) = meet(join(d,b),meet(a,join(c,join(d,b)))),
inference(symmetry,[status(thm)],[c44]) ).
cnf(c46,plain,
meet(join(c,b),meet(join(d,b),a)) = meet(join(c,b),meet(join(d,b),meet(a,join(c,join(d,b))))),
inference(congruence,[status(thm)],[c45]) ).
cnf(c47,plain,
meet(a,meet(join(c,b),meet(join(d,b),a))) = meet(a,meet(join(c,b),meet(join(d,b),meet(a,join(c,join(d,b)))))),
inference(congruence,[status(thm)],[c46]) ).
cnf(c48,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c17]) ).
cnf(c49,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c48]) ).
cnf(c50,plain,
join(meet(X4,X3),meet(X3,X2)) = join(meet(X4,X3),meet(X2,X3)),
inference(congruence,[status(thm)],[c49]) ).
cnf(c51,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c17]) ).
cnf(c52,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c51]) ).
cnf(c53,plain,
join(meet(X4,X3),meet(X2,X3)) = join(meet(X3,X4),meet(X2,X3)),
inference(congruence,[status(thm)],[c52]) ).
cnf(c54,plain,
join(meet(X2,X3),meet(X3,X4)) = join(meet(X3,X4),meet(X2,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c55,plain,
join(meet(X3,X4),meet(X2,X3)) = join(meet(X2,X3),meet(X3,X4)),
inference(symmetry,[status(thm)],[c54]) ).
cnf(c56,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c17]) ).
cnf(c57,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c56]) ).
cnf(c58,plain,
join(meet(X3,X4),meet(X4,X2)) = join(meet(X3,X4),meet(X2,X4)),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,plain,
meet(X4,join(meet(X3,X4),meet(X4,X2))) = meet(X4,join(meet(X3,X4),meet(X2,X4))),
inference(congruence,[status(thm)],[c58]) ).
cnf(c60,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c17]) ).
cnf(c61,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c60]) ).
cnf(c62,plain,
join(meet(X3,X4),meet(X2,X4)) = join(meet(X4,X3),meet(X2,X4)),
inference(congruence,[status(thm)],[c61]) ).
cnf(c63,plain,
meet(X4,join(meet(X3,X4),meet(X2,X4))) = meet(X4,join(meet(X4,X3),meet(X2,X4))),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,plain,
join(meet(X2,X4),meet(X4,X3)) = join(meet(X4,X3),meet(X2,X4)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c65,plain,
join(meet(X4,X3),meet(X2,X4)) = join(meet(X2,X4),meet(X4,X3)),
inference(symmetry,[status(thm)],[c64]) ).
cnf(c66,plain,
meet(X4,join(meet(X4,X3),meet(X2,X4))) = meet(X4,join(meet(X2,X4),meet(X4,X3))),
inference(congruence,[status(thm)],[c65]) ).
cnf(c67,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c17]) ).
cnf(c68,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c67]) ).
cnf(c69,plain,
join(X3,meet(X2,X3)) = join(X3,meet(X3,X2)),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,axiom,
join(X2,meet(X2,Y2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
cnf(c71,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c70]) ).
cnf(c72,plain,
join(X3,meet(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c69,c71]) ).
cnf(c73,plain,
X3 = join(X3,meet(X2,X3)),
inference(symmetry,[status(thm)],[c72]) ).
cnf(c74,plain,
meet(X4,join(meet(X2,X4),meet(X4,X3))) = meet(join(X4,meet(X2,X4)),join(meet(X2,X4),meet(X4,X3))),
inference(congruence,[status(thm)],[c73]) ).
cnf(c75,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c76,plain,
join(X3,X2) = join(X2,X3),
inference(symmetry,[status(thm)],[c75]) ).
cnf(c77,plain,
meet(join(X4,X3),join(X3,meet(X4,X2))) = meet(join(X3,X4),join(X3,meet(X4,X2))),
inference(congruence,[status(thm)],[c76]) ).
cnf(c78,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c79,plain,
join(X3,X2) = join(X2,X3),
inference(symmetry,[status(thm)],[c78]) ).
cnf(c80,plain,
meet(join(X4,X3),join(X4,meet(X3,X2))) = meet(join(X3,X4),join(X4,meet(X3,X2))),
inference(congruence,[status(thm)],[c79]) ).
cnf(c81,plain,
meet(join(X4,meet(X3,X2)),join(X3,X4)) = meet(join(X3,X4),join(X4,meet(X3,X2))),
inference(substitution,[status(thm)],[c17]) ).
cnf(c82,plain,
meet(join(X3,X4),join(X4,meet(X3,X2))) = meet(join(X4,meet(X3,X2)),join(X3,X4)),
inference(symmetry,[status(thm)],[c81]) ).
cnf(c83,plain,
join(meet(X4,X2),X3) = join(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c84,plain,
join(X3,meet(X4,X2)) = join(meet(X4,X2),X3),
inference(symmetry,[status(thm)],[c83]) ).
cnf(c85,plain,
join(X4,join(X3,meet(X4,X2))) = join(X4,join(meet(X4,X2),X3)),
inference(congruence,[status(thm)],[c84]) ).
cnf(c86,axiom,
join(join(X2,Y2),Z2) = join(X2,join(Y2,Z2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
cnf(c87,plain,
join(join(X4,meet(X4,X2)),X3) = join(X4,join(meet(X4,X2),X3)),
inference(substitution,[status(thm)],[c86]) ).
cnf(c88,plain,
join(X4,join(meet(X4,X2),X3)) = join(join(X4,meet(X4,X2)),X3),
inference(symmetry,[status(thm)],[c87]) ).
cnf(c89,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c70]) ).
cnf(c90,plain,
join(join(X4,meet(X4,X2)),X3) = join(X4,X3),
inference(congruence,[status(thm)],[c89]) ).
cnf(c91,plain,
join(X4,join(meet(X4,X2),X3)) = join(X4,X3),
inference(transitivity,[status(thm)],[c88,c90]) ).
cnf(c92,plain,
join(X4,join(X3,meet(X4,X2))) = join(X4,X3),
inference(transitivity,[status(thm)],[c85,c91]) ).
cnf(c93,plain,
join(X3,join(X4,meet(X3,X2))) = join(X3,X4),
inference(substitution,[status(thm)],[c92]) ).
cnf(c94,plain,
join(X3,X4) = join(X3,join(X4,meet(X3,X2))),
inference(symmetry,[status(thm)],[c93]) ).
cnf(c95,plain,
meet(join(X4,meet(X3,X2)),join(X3,X4)) = meet(join(X4,meet(X3,X2)),join(X3,join(X4,meet(X3,X2)))),
inference(congruence,[status(thm)],[c94]) ).
cnf(c96,plain,
meet(join(X4,meet(X3,X2)),join(X3,join(X4,meet(X3,X2)))) = join(X4,meet(X3,X2)),
inference(substitution,[status(thm)],[c39]) ).
cnf(c97,plain,
meet(join(X4,meet(X3,X2)),join(X3,X4)) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c95,c96]) ).
cnf(c98,plain,
meet(join(X3,X4),join(X4,meet(X3,X2))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c82,c97]) ).
cnf(c99,plain,
meet(join(X4,X3),join(X4,meet(X3,X2))) = join(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c80,c98]) ).
cnf(c100,plain,
meet(join(X3,X4),join(X3,meet(X4,X2))) = join(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c99]) ).
cnf(c101,plain,
meet(join(X4,X3),join(X3,meet(X4,X2))) = join(X3,meet(X4,X2)),
inference(transitivity,[status(thm)],[c77,c100]) ).
cnf(c102,plain,
meet(join(X4,meet(X2,X4)),join(meet(X2,X4),meet(X4,X3))) = join(meet(X2,X4),meet(X4,X3)),
inference(substitution,[status(thm)],[c101]) ).
cnf(c103,plain,
join(meet(X2,X4),meet(X4,X3)) = join(meet(X4,X3),meet(X2,X4)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c104,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c17]) ).
cnf(c105,plain,
join(meet(X4,X3),meet(X2,X4)) = join(meet(X3,X4),meet(X2,X4)),
inference(congruence,[status(thm)],[c104]) ).
cnf(c106,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c17]) ).
cnf(c107,plain,
join(meet(X3,X4),meet(X2,X4)) = join(meet(X3,X4),meet(X4,X2)),
inference(congruence,[status(thm)],[c106]) ).
cnf(c108,plain,
join(meet(X4,X3),meet(X2,X4)) = join(meet(X3,X4),meet(X4,X2)),
inference(transitivity,[status(thm)],[c105,c107]) ).
cnf(c109,plain,
join(meet(X2,X4),meet(X4,X3)) = join(meet(X3,X4),meet(X4,X2)),
inference(transitivity,[status(thm)],[c103,c108]) ).
cnf(c110,plain,
meet(join(X4,meet(X2,X4)),join(meet(X2,X4),meet(X4,X3))) = join(meet(X3,X4),meet(X4,X2)),
inference(transitivity,[status(thm)],[c102,c109]) ).
cnf(c111,plain,
meet(X4,join(meet(X2,X4),meet(X4,X3))) = join(meet(X3,X4),meet(X4,X2)),
inference(transitivity,[status(thm)],[c74,c110]) ).
cnf(c112,plain,
meet(X4,join(meet(X4,X3),meet(X2,X4))) = join(meet(X3,X4),meet(X4,X2)),
inference(transitivity,[status(thm)],[c66,c111]) ).
cnf(c113,plain,
meet(X4,join(meet(X3,X4),meet(X2,X4))) = join(meet(X3,X4),meet(X4,X2)),
inference(transitivity,[status(thm)],[c63,c112]) ).
cnf(c114,plain,
meet(X4,join(meet(X3,X4),meet(X4,X2))) = join(meet(X3,X4),meet(X4,X2)),
inference(transitivity,[status(thm)],[c59,c113]) ).
cnf(c115,plain,
meet(X3,join(meet(X2,X3),meet(X3,X4))) = join(meet(X2,X3),meet(X3,X4)),
inference(substitution,[status(thm)],[c114]) ).
cnf(c116,plain,
join(meet(X2,X3),meet(X3,X4)) = meet(X3,join(meet(X2,X3),meet(X3,X4))),
inference(symmetry,[status(thm)],[c115]) ).
cnf(c117,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c17]) ).
cnf(c118,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c117]) ).
cnf(c119,plain,
join(meet(X4,X3),meet(X4,join(X2,meet(X4,X3)))) = join(meet(X3,X4),meet(X4,join(X2,meet(X4,X3)))),
inference(congruence,[status(thm)],[c118]) ).
cnf(c120,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c17]) ).
cnf(c121,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c120]) ).
cnf(c122,plain,
join(X2,meet(X4,X3)) = join(X2,meet(X3,X4)),
inference(congruence,[status(thm)],[c121]) ).
cnf(c123,plain,
meet(X4,join(X2,meet(X4,X3))) = meet(X4,join(X2,meet(X3,X4))),
inference(congruence,[status(thm)],[c122]) ).
cnf(c124,plain,
join(meet(X3,X4),meet(X4,join(X2,meet(X4,X3)))) = join(meet(X3,X4),meet(X4,join(X2,meet(X3,X4)))),
inference(congruence,[status(thm)],[c123]) ).
cnf(c125,plain,
join(meet(X4,join(X2,meet(X3,X4))),meet(X3,X4)) = join(meet(X3,X4),meet(X4,join(X2,meet(X3,X4)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c126,plain,
join(meet(X3,X4),meet(X4,join(X2,meet(X3,X4)))) = join(meet(X4,join(X2,meet(X3,X4))),meet(X3,X4)),
inference(symmetry,[status(thm)],[c125]) ).
cnf(c127,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c17]) ).
cnf(c128,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c127]) ).
cnf(c129,plain,
join(X2,meet(X4,X3)) = join(X2,meet(X3,X4)),
inference(congruence,[status(thm)],[c128]) ).
cnf(c130,plain,
meet(X3,join(X2,meet(X4,X3))) = meet(X3,join(X2,meet(X3,X4))),
inference(congruence,[status(thm)],[c129]) ).
cnf(c131,plain,
meet(X4,meet(X3,join(X2,meet(X4,X3)))) = meet(X4,meet(X3,join(X2,meet(X3,X4)))),
inference(congruence,[status(thm)],[c130]) ).
cnf(c132,plain,
join(meet(X3,X4),X2) = join(X2,meet(X3,X4)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c133,plain,
join(X2,meet(X3,X4)) = join(meet(X3,X4),X2),
inference(symmetry,[status(thm)],[c132]) ).
cnf(c134,plain,
meet(X3,join(X2,meet(X3,X4))) = meet(X3,join(meet(X3,X4),X2)),
inference(congruence,[status(thm)],[c133]) ).
cnf(c135,plain,
meet(X4,meet(X3,join(X2,meet(X3,X4)))) = meet(X4,meet(X3,join(meet(X3,X4),X2))),
inference(congruence,[status(thm)],[c134]) ).
cnf(c136,plain,
meet(X3,meet(X4,join(meet(X3,X4),X2))) = meet(X4,meet(X3,join(meet(X3,X4),X2))),
inference(substitution,[status(thm)],[c24]) ).
cnf(c137,plain,
meet(X4,meet(X3,join(meet(X3,X4),X2))) = meet(X3,meet(X4,join(meet(X3,X4),X2))),
inference(symmetry,[status(thm)],[c136]) ).
cnf(c138,plain,
meet(meet(X3,X4),join(meet(X3,X4),X2)) = meet(X3,meet(X4,join(meet(X3,X4),X2))),
inference(substitution,[status(thm)],[c9]) ).
cnf(c139,plain,
meet(X3,meet(X4,join(meet(X3,X4),X2))) = meet(meet(X3,X4),join(meet(X3,X4),X2)),
inference(symmetry,[status(thm)],[c138]) ).
cnf(c140,plain,
meet(meet(X3,X4),join(meet(X3,X4),X2)) = meet(X3,X4),
inference(substitution,[status(thm)],[c37]) ).
cnf(c141,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c17]) ).
cnf(c142,plain,
meet(meet(X3,X4),join(meet(X3,X4),X2)) = meet(X4,X3),
inference(transitivity,[status(thm)],[c140,c141]) ).
cnf(c143,plain,
meet(X3,meet(X4,join(meet(X3,X4),X2))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c139,c142]) ).
cnf(c144,plain,
meet(X4,meet(X3,join(meet(X3,X4),X2))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c137,c143]) ).
cnf(c145,plain,
meet(X4,meet(X3,join(X2,meet(X3,X4)))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c135,c144]) ).
cnf(c146,plain,
meet(X4,meet(X3,join(X2,meet(X4,X3)))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c131,c145]) ).
cnf(c147,plain,
meet(X3,meet(X4,join(X2,meet(X3,X4)))) = meet(X3,X4),
inference(substitution,[status(thm)],[c146]) ).
cnf(c148,plain,
meet(X3,X4) = meet(X3,meet(X4,join(X2,meet(X3,X4)))),
inference(symmetry,[status(thm)],[c147]) ).
cnf(c149,plain,
join(meet(X4,join(X2,meet(X3,X4))),meet(X3,X4)) = join(meet(X4,join(X2,meet(X3,X4))),meet(X3,meet(X4,join(X2,meet(X3,X4))))),
inference(congruence,[status(thm)],[c148]) ).
cnf(c150,plain,
join(meet(X4,join(X2,meet(X3,X4))),meet(X3,meet(X4,join(X2,meet(X3,X4))))) = meet(X4,join(X2,meet(X3,X4))),
inference(substitution,[status(thm)],[c72]) ).
cnf(c151,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c17]) ).
cnf(c152,plain,
join(X2,meet(X3,X4)) = join(X2,meet(X4,X3)),
inference(congruence,[status(thm)],[c151]) ).
cnf(c153,plain,
meet(X4,join(X2,meet(X3,X4))) = meet(X4,join(X2,meet(X4,X3))),
inference(congruence,[status(thm)],[c152]) ).
cnf(c154,plain,
join(meet(X4,join(X2,meet(X3,X4))),meet(X3,meet(X4,join(X2,meet(X3,X4))))) = meet(X4,join(X2,meet(X4,X3))),
inference(transitivity,[status(thm)],[c150,c153]) ).
cnf(c155,plain,
join(meet(X4,join(X2,meet(X3,X4))),meet(X3,X4)) = meet(X4,join(X2,meet(X4,X3))),
inference(transitivity,[status(thm)],[c149,c154]) ).
cnf(c156,plain,
join(meet(X3,X4),meet(X4,join(X2,meet(X3,X4)))) = meet(X4,join(X2,meet(X4,X3))),
inference(transitivity,[status(thm)],[c126,c155]) ).
cnf(c157,plain,
join(meet(X3,X4),meet(X4,join(X2,meet(X4,X3)))) = meet(X4,join(X2,meet(X4,X3))),
inference(transitivity,[status(thm)],[c124,c156]) ).
cnf(c158,plain,
join(meet(X4,X3),meet(X4,join(X2,meet(X4,X3)))) = meet(X4,join(X2,meet(X4,X3))),
inference(transitivity,[status(thm)],[c119,c157]) ).
cnf(c159,plain,
join(meet(X4,X2),meet(X4,join(X3,meet(X4,X2)))) = meet(X4,join(X3,meet(X4,X2))),
inference(substitution,[status(thm)],[c158]) ).
cnf(c160,plain,
meet(X4,join(X3,meet(X4,X2))) = join(meet(X4,X2),meet(X4,join(X3,meet(X4,X2)))),
inference(symmetry,[status(thm)],[c159]) ).
cnf(c161,plain,
join(meet(X4,join(X3,meet(X4,X2))),meet(X4,X2)) = join(meet(X4,X2),meet(X4,join(X3,meet(X4,X2)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c162,plain,
join(meet(X4,X2),meet(X4,join(X3,meet(X4,X2)))) = join(meet(X4,join(X3,meet(X4,X2))),meet(X4,X2)),
inference(symmetry,[status(thm)],[c161]) ).
cnf(c163,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c17]) ).
cnf(c164,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c163]) ).
cnf(c165,plain,
meet(X3,meet(X2,X3)) = meet(X3,meet(X3,X2)),
inference(congruence,[status(thm)],[c164]) ).
cnf(c166,plain,
meet(X3,meet(X2,X3)) = meet(X3,X2),
inference(transitivity,[status(thm)],[c165,c14]) ).
cnf(c167,plain,
meet(X3,X2) = meet(X3,meet(X2,X3)),
inference(symmetry,[status(thm)],[c166]) ).
cnf(c168,plain,
join(meet(X4,join(X3,meet(X4,X2))),meet(X4,X2)) = join(meet(X4,join(X3,meet(X4,X2))),meet(X4,meet(X2,X4))),
inference(congruence,[status(thm)],[c167]) ).
cnf(c169,plain,
meet(meet(X3,X2),X3) = meet(X3,meet(X2,X3)),
inference(substitution,[status(thm)],[c9]) ).
cnf(c170,plain,
meet(X3,meet(X2,X3)) = meet(meet(X3,X2),X3),
inference(symmetry,[status(thm)],[c169]) ).
cnf(c171,plain,
join(meet(X4,join(X3,meet(X4,X2))),meet(X4,meet(X2,X4))) = join(meet(X4,join(X3,meet(X4,X2))),meet(meet(X4,X2),X4)),
inference(congruence,[status(thm)],[c170]) ).
cnf(c172,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c17]) ).
cnf(c173,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c172]) ).
cnf(c174,plain,
meet(X3,meet(X4,X2)) = meet(X3,meet(X2,X4)),
inference(congruence,[status(thm)],[c173]) ).
cnf(c175,plain,
join(X4,meet(X3,meet(X4,X2))) = join(X4,meet(X3,meet(X2,X4))),
inference(congruence,[status(thm)],[c174]) ).
cnf(c176,plain,
meet(meet(X3,X2),X4) = meet(X3,meet(X2,X4)),
inference(substitution,[status(thm)],[c9]) ).
cnf(c177,plain,
meet(X3,meet(X2,X4)) = meet(meet(X3,X2),X4),
inference(symmetry,[status(thm)],[c176]) ).
cnf(c178,plain,
join(X4,meet(X3,meet(X2,X4))) = join(X4,meet(meet(X3,X2),X4)),
inference(congruence,[status(thm)],[c177]) ).
cnf(c179,plain,
join(X4,meet(meet(X3,X2),X4)) = X4,
inference(substitution,[status(thm)],[c72]) ).
cnf(c180,plain,
join(X4,meet(X3,meet(X2,X4))) = X4,
inference(transitivity,[status(thm)],[c178,c179]) ).
cnf(c181,plain,
join(X4,meet(X3,meet(X4,X2))) = X4,
inference(transitivity,[status(thm)],[c175,c180]) ).
cnf(c182,plain,
X4 = join(X4,meet(X3,meet(X4,X2))),
inference(symmetry,[status(thm)],[c181]) ).
cnf(c183,plain,
meet(meet(X4,X2),X4) = meet(meet(X4,X2),join(X4,meet(X3,meet(X4,X2)))),
inference(congruence,[status(thm)],[c182]) ).
cnf(c184,plain,
join(meet(X4,join(X3,meet(X4,X2))),meet(meet(X4,X2),X4)) = join(meet(X4,join(X3,meet(X4,X2))),meet(meet(X4,X2),join(X4,meet(X3,meet(X4,X2))))),
inference(congruence,[status(thm)],[c183]) ).
cnf(c185,plain,
join(meet(X2,join(X4,meet(X3,X2))),meet(X4,join(X3,X2))) = join(meet(X4,join(X3,X2)),meet(X2,join(X4,meet(X3,X2)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c186,plain,
join(meet(X4,join(X3,X2)),meet(X2,join(X4,meet(X3,X2)))) = join(meet(X2,join(X4,meet(X3,X2))),meet(X4,join(X3,X2))),
inference(symmetry,[status(thm)],[c185]) ).
cnf(c187,hypothesis,
meet(join(X2,meet(Y2,Z2)),join(Z2,meet(X2,Y2))) = join(meet(Z2,join(X2,meet(Y2,Z2))),meet(X2,join(Y2,Z2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nr_3) ).
cnf(c188,plain,
meet(join(X4,meet(X3,X2)),join(X2,meet(X4,X3))) = join(meet(X2,join(X4,meet(X3,X2))),meet(X4,join(X3,X2))),
inference(substitution,[status(thm)],[c187]) ).
cnf(c189,plain,
join(meet(X2,join(X4,meet(X3,X2))),meet(X4,join(X3,X2))) = meet(join(X4,meet(X3,X2)),join(X2,meet(X4,X3))),
inference(symmetry,[status(thm)],[c188]) ).
cnf(c190,plain,
join(meet(X4,join(X3,X2)),meet(X2,join(X4,meet(X3,X2)))) = meet(join(X4,meet(X3,X2)),join(X2,meet(X4,X3))),
inference(transitivity,[status(thm)],[c186,c189]) ).
cnf(c191,plain,
join(meet(X4,join(X3,meet(X4,X2))),meet(meet(X4,X2),join(X4,meet(X3,meet(X4,X2))))) = meet(join(X4,meet(X3,meet(X4,X2))),join(meet(X4,X2),meet(X4,X3))),
inference(substitution,[status(thm)],[c190]) ).
cnf(c192,plain,
meet(join(X4,meet(X3,meet(X4,X2))),join(meet(X4,X2),meet(X4,X3))) = meet(X4,join(meet(X4,X2),meet(X4,X3))),
inference(congruence,[status(thm)],[c181]) ).
cnf(c193,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c70]) ).
cnf(c194,plain,
X3 = join(X3,meet(X3,X2)),
inference(symmetry,[status(thm)],[c193]) ).
cnf(c195,plain,
meet(X4,join(meet(X4,X3),meet(X4,X2))) = meet(join(X4,meet(X4,X3)),join(meet(X4,X3),meet(X4,X2))),
inference(congruence,[status(thm)],[c194]) ).
cnf(c196,plain,
meet(join(X4,meet(X4,X3)),join(meet(X4,X3),meet(X4,X2))) = join(meet(X4,X3),meet(X4,X2)),
inference(substitution,[status(thm)],[c101]) ).
cnf(c197,plain,
meet(X4,join(meet(X4,X3),meet(X4,X2))) = join(meet(X4,X3),meet(X4,X2)),
inference(transitivity,[status(thm)],[c195,c196]) ).
cnf(c198,plain,
meet(X4,join(meet(X4,X2),meet(X4,X3))) = join(meet(X4,X2),meet(X4,X3)),
inference(substitution,[status(thm)],[c197]) ).
cnf(c199,plain,
join(meet(X4,X2),meet(X4,X3)) = join(meet(X4,X3),meet(X4,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c200,plain,
meet(X4,join(meet(X4,X2),meet(X4,X3))) = join(meet(X4,X3),meet(X4,X2)),
inference(transitivity,[status(thm)],[c198,c199]) ).
cnf(c201,plain,
meet(join(X4,meet(X3,meet(X4,X2))),join(meet(X4,X2),meet(X4,X3))) = join(meet(X4,X3),meet(X4,X2)),
inference(transitivity,[status(thm)],[c192,c200]) ).
cnf(c202,plain,
join(meet(X4,join(X3,meet(X4,X2))),meet(meet(X4,X2),join(X4,meet(X3,meet(X4,X2))))) = join(meet(X4,X3),meet(X4,X2)),
inference(transitivity,[status(thm)],[c191,c201]) ).
cnf(c203,plain,
join(meet(X4,join(X3,meet(X4,X2))),meet(meet(X4,X2),X4)) = join(meet(X4,X3),meet(X4,X2)),
inference(transitivity,[status(thm)],[c184,c202]) ).
cnf(c204,plain,
join(meet(X4,join(X3,meet(X4,X2))),meet(X4,meet(X2,X4))) = join(meet(X4,X3),meet(X4,X2)),
inference(transitivity,[status(thm)],[c171,c203]) ).
cnf(c205,plain,
join(meet(X4,join(X3,meet(X4,X2))),meet(X4,X2)) = join(meet(X4,X3),meet(X4,X2)),
inference(transitivity,[status(thm)],[c168,c204]) ).
cnf(c206,plain,
join(meet(X4,X2),meet(X4,join(X3,meet(X4,X2)))) = join(meet(X4,X3),meet(X4,X2)),
inference(transitivity,[status(thm)],[c162,c205]) ).
cnf(c207,plain,
meet(X4,join(X3,meet(X4,X2))) = join(meet(X4,X3),meet(X4,X2)),
inference(transitivity,[status(thm)],[c160,c206]) ).
cnf(c208,plain,
meet(X3,join(meet(X2,X3),meet(X3,X4))) = join(meet(X3,meet(X2,X3)),meet(X3,X4)),
inference(substitution,[status(thm)],[c207]) ).
cnf(c209,plain,
join(meet(X4,X3),meet(X4,X2)) = meet(X4,join(X3,meet(X4,X2))),
inference(symmetry,[status(thm)],[c207]) ).
cnf(c210,plain,
meet(X2,join(X4,X3)) = meet(join(X4,X3),X2),
inference(substitution,[status(thm)],[c17]) ).
cnf(c211,plain,
meet(join(X4,X3),X2) = meet(X2,join(X4,X3)),
inference(symmetry,[status(thm)],[c210]) ).
cnf(c212,plain,
meet(X4,meet(join(X4,X3),X2)) = meet(X4,meet(X2,join(X4,X3))),
inference(congruence,[status(thm)],[c211]) ).
cnf(c213,plain,
meet(join(X4,X2),X3) = meet(X3,join(X4,X2)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c214,plain,
meet(X3,join(X4,X2)) = meet(join(X4,X2),X3),
inference(symmetry,[status(thm)],[c213]) ).
cnf(c215,plain,
meet(X4,meet(X3,join(X4,X2))) = meet(X4,meet(join(X4,X2),X3)),
inference(congruence,[status(thm)],[c214]) ).
cnf(c216,plain,
meet(meet(X4,join(X4,X2)),X3) = meet(X4,meet(join(X4,X2),X3)),
inference(substitution,[status(thm)],[c9]) ).
cnf(c217,plain,
meet(X4,meet(join(X4,X2),X3)) = meet(meet(X4,join(X4,X2)),X3),
inference(symmetry,[status(thm)],[c216]) ).
cnf(c218,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c37]) ).
cnf(c219,plain,
meet(meet(X4,join(X4,X2)),X3) = meet(X4,X3),
inference(congruence,[status(thm)],[c218]) ).
cnf(c220,plain,
meet(X4,meet(join(X4,X2),X3)) = meet(X4,X3),
inference(transitivity,[status(thm)],[c217,c219]) ).
cnf(c221,plain,
meet(X4,meet(X3,join(X4,X2))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c215,c220]) ).
cnf(c222,plain,
meet(X4,meet(X2,join(X4,X3))) = meet(X4,X2),
inference(substitution,[status(thm)],[c221]) ).
cnf(c223,plain,
meet(X4,meet(join(X4,X3),X2)) = meet(X4,X2),
inference(transitivity,[status(thm)],[c212,c222]) ).
cnf(c224,plain,
meet(X4,meet(join(X4,meet(X2,X3)),join(X3,meet(X4,X2)))) = meet(X4,join(X3,meet(X4,X2))),
inference(substitution,[status(thm)],[c223]) ).
cnf(c225,plain,
meet(X4,join(X3,meet(X4,X2))) = meet(X4,meet(join(X4,meet(X2,X3)),join(X3,meet(X4,X2)))),
inference(symmetry,[status(thm)],[c224]) ).
cnf(c226,plain,
join(meet(X4,join(X2,X3)),meet(X3,join(X4,meet(X2,X3)))) = meet(join(X4,meet(X2,X3)),join(X3,meet(X4,X2))),
inference(substitution,[status(thm)],[c190]) ).
cnf(c227,plain,
meet(join(X4,meet(X2,X3)),join(X3,meet(X4,X2))) = join(meet(X4,join(X2,X3)),meet(X3,join(X4,meet(X2,X3)))),
inference(symmetry,[status(thm)],[c226]) ).
cnf(c228,plain,
meet(X4,meet(join(X4,meet(X2,X3)),join(X3,meet(X4,X2)))) = meet(X4,join(meet(X4,join(X2,X3)),meet(X3,join(X4,meet(X2,X3))))),
inference(congruence,[status(thm)],[c227]) ).
cnf(c229,plain,
join(X2,meet(X4,X3)) = join(meet(X4,X3),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c230,plain,
join(meet(X4,X3),X2) = join(X2,meet(X4,X3)),
inference(symmetry,[status(thm)],[c229]) ).
cnf(c231,plain,
meet(X4,join(meet(X4,X3),X2)) = meet(X4,join(X2,meet(X4,X3))),
inference(congruence,[status(thm)],[c230]) ).
cnf(c232,plain,
meet(X4,join(X2,meet(X4,X3))) = join(meet(X4,X2),meet(X4,X3)),
inference(substitution,[status(thm)],[c207]) ).
cnf(c233,plain,
meet(X4,join(meet(X4,X3),X2)) = join(meet(X4,X2),meet(X4,X3)),
inference(transitivity,[status(thm)],[c231,c232]) ).
cnf(c234,plain,
meet(X4,join(meet(X4,join(X2,X3)),meet(X3,join(X4,meet(X2,X3))))) = join(meet(X4,meet(X3,join(X4,meet(X2,X3)))),meet(X4,join(X2,X3))),
inference(substitution,[status(thm)],[c233]) ).
cnf(c235,plain,
meet(X4,meet(X3,join(X4,meet(X2,X3)))) = meet(X4,X3),
inference(substitution,[status(thm)],[c221]) ).
cnf(c236,plain,
join(meet(X4,meet(X3,join(X4,meet(X2,X3)))),meet(X4,join(X2,X3))) = join(meet(X4,X3),meet(X4,join(X2,X3))),
inference(congruence,[status(thm)],[c235]) ).
cnf(c237,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c17]) ).
cnf(c238,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c237]) ).
cnf(c239,plain,
join(meet(X4,X3),meet(X4,join(X2,X3))) = join(meet(X3,X4),meet(X4,join(X2,X3))),
inference(congruence,[status(thm)],[c238]) ).
cnf(c240,plain,
join(meet(X4,join(X2,X3)),meet(X3,X4)) = join(meet(X3,X4),meet(X4,join(X2,X3))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c241,plain,
join(meet(X3,X4),meet(X4,join(X2,X3))) = join(meet(X4,join(X2,X3)),meet(X3,X4)),
inference(symmetry,[status(thm)],[c240]) ).
cnf(c242,plain,
meet(X3,meet(X4,join(X2,X3))) = meet(X3,X4),
inference(substitution,[status(thm)],[c43]) ).
cnf(c243,plain,
meet(X3,X4) = meet(X3,meet(X4,join(X2,X3))),
inference(symmetry,[status(thm)],[c242]) ).
cnf(c244,plain,
join(meet(X4,join(X2,X3)),meet(X3,X4)) = join(meet(X4,join(X2,X3)),meet(X3,meet(X4,join(X2,X3)))),
inference(congruence,[status(thm)],[c243]) ).
cnf(c245,plain,
join(meet(X4,join(X2,X3)),meet(X3,meet(X4,join(X2,X3)))) = meet(X4,join(X2,X3)),
inference(substitution,[status(thm)],[c72]) ).
cnf(c246,plain,
join(meet(X4,join(X2,X3)),meet(X3,X4)) = meet(X4,join(X2,X3)),
inference(transitivity,[status(thm)],[c244,c245]) ).
cnf(c247,plain,
join(meet(X3,X4),meet(X4,join(X2,X3))) = meet(X4,join(X2,X3)),
inference(transitivity,[status(thm)],[c241,c246]) ).
cnf(c248,plain,
join(meet(X4,X3),meet(X4,join(X2,X3))) = meet(X4,join(X2,X3)),
inference(transitivity,[status(thm)],[c239,c247]) ).
cnf(c249,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c250,plain,
meet(X4,join(X2,X3)) = meet(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c249]) ).
cnf(c251,plain,
join(meet(X4,X3),meet(X4,join(X2,X3))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c248,c250]) ).
cnf(c252,plain,
join(meet(X4,meet(X3,join(X4,meet(X2,X3)))),meet(X4,join(X2,X3))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c236,c251]) ).
cnf(c253,plain,
meet(X4,join(meet(X4,join(X2,X3)),meet(X3,join(X4,meet(X2,X3))))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c234,c252]) ).
cnf(c254,plain,
meet(X4,meet(join(X4,meet(X2,X3)),join(X3,meet(X4,X2)))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c228,c253]) ).
cnf(c255,plain,
meet(X4,join(X3,meet(X4,X2))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c225,c254]) ).
cnf(c256,plain,
join(meet(X4,X3),meet(X4,X2)) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c209,c255]) ).
cnf(c257,plain,
join(meet(X3,meet(X2,X3)),meet(X3,X4)) = meet(X3,join(meet(X2,X3),X4)),
inference(substitution,[status(thm)],[c256]) ).
cnf(c258,plain,
join(meet(X2,X3),X4) = join(X4,meet(X2,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c259,plain,
meet(X3,join(meet(X2,X3),X4)) = meet(X3,join(X4,meet(X2,X3))),
inference(congruence,[status(thm)],[c258]) ).
cnf(c260,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c17]) ).
cnf(c261,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c260]) ).
cnf(c262,plain,
join(X3,meet(X2,X4)) = join(X3,meet(X4,X2)),
inference(congruence,[status(thm)],[c261]) ).
cnf(c263,plain,
meet(X4,join(X3,meet(X2,X4))) = meet(X4,join(X3,meet(X4,X2))),
inference(congruence,[status(thm)],[c262]) ).
cnf(c264,plain,
meet(X4,join(X3,meet(X2,X4))) = join(meet(X4,X3),meet(X4,X2)),
inference(transitivity,[status(thm)],[c263,c207]) ).
cnf(c265,plain,
meet(X3,join(X4,meet(X2,X3))) = join(meet(X3,X4),meet(X3,X2)),
inference(substitution,[status(thm)],[c264]) ).
cnf(c266,plain,
join(meet(X3,X4),meet(X3,X2)) = meet(X3,join(X4,X2)),
inference(substitution,[status(thm)],[c256]) ).
cnf(c267,plain,
meet(X3,join(X4,meet(X2,X3))) = meet(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c265,c266]) ).
cnf(c268,plain,
meet(X3,join(meet(X2,X3),X4)) = meet(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c259,c267]) ).
cnf(c269,plain,
join(meet(X3,meet(X2,X3)),meet(X3,X4)) = meet(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c257,c268]) ).
cnf(c270,plain,
meet(X3,join(meet(X2,X3),meet(X3,X4))) = meet(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c208,c269]) ).
cnf(c271,plain,
join(meet(X2,X3),meet(X3,X4)) = meet(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c116,c270]) ).
cnf(c272,plain,
join(meet(X3,X4),meet(X2,X3)) = meet(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c55,c271]) ).
cnf(c273,plain,
join(meet(X4,X3),meet(X2,X3)) = meet(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c53,c272]) ).
cnf(c274,plain,
join(meet(X4,X3),meet(X3,X2)) = meet(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c50,c273]) ).
cnf(c275,plain,
join(meet(c,a),meet(a,join(d,b))) = meet(a,join(c,join(d,b))),
inference(substitution,[status(thm)],[c274]) ).
cnf(c276,plain,
meet(a,join(c,join(d,b))) = join(meet(c,a),meet(a,join(d,b))),
inference(symmetry,[status(thm)],[c275]) ).
cnf(c277,plain,
meet(join(d,b),meet(a,join(c,join(d,b)))) = meet(join(d,b),join(meet(c,a),meet(a,join(d,b)))),
inference(congruence,[status(thm)],[c276]) ).
cnf(c278,plain,
meet(join(c,b),meet(join(d,b),meet(a,join(c,join(d,b))))) = meet(join(c,b),meet(join(d,b),join(meet(c,a),meet(a,join(d,b))))),
inference(congruence,[status(thm)],[c277]) ).
cnf(c279,plain,
meet(a,meet(join(c,b),meet(join(d,b),meet(a,join(c,join(d,b)))))) = meet(a,meet(join(c,b),meet(join(d,b),join(meet(c,a),meet(a,join(d,b)))))),
inference(congruence,[status(thm)],[c278]) ).
cnf(c280,plain,
join(join(X3,X2),X4) = join(X4,join(X3,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c281,plain,
join(X4,join(X3,X2)) = join(join(X3,X2),X4),
inference(symmetry,[status(thm)],[c280]) ).
cnf(c282,plain,
join(join(X3,X2),X4) = join(X3,join(X2,X4)),
inference(substitution,[status(thm)],[c86]) ).
cnf(c283,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c284,plain,
join(X3,join(X2,X4)) = join(X3,join(X4,X2)),
inference(congruence,[status(thm)],[c283]) ).
cnf(c285,plain,
join(join(X3,X2),X4) = join(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c282,c284]) ).
cnf(c286,plain,
join(X4,join(X3,X2)) = join(X3,join(X4,X2)),
inference(transitivity,[status(thm)],[c281,c285]) ).
cnf(c287,plain,
join(X3,join(X4,meet(X2,X4))) = join(X4,join(X3,meet(X2,X4))),
inference(substitution,[status(thm)],[c286]) ).
cnf(c288,plain,
join(X4,join(X3,meet(X2,X4))) = join(X3,join(X4,meet(X2,X4))),
inference(symmetry,[status(thm)],[c287]) ).
cnf(c289,plain,
join(X3,join(X4,meet(X2,X4))) = join(X3,X4),
inference(congruence,[status(thm)],[c72]) ).
cnf(c290,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c291,plain,
join(X3,join(X4,meet(X2,X4))) = join(X4,X3),
inference(transitivity,[status(thm)],[c289,c290]) ).
cnf(c292,plain,
join(X4,join(X3,meet(X2,X4))) = join(X4,X3),
inference(transitivity,[status(thm)],[c288,c291]) ).
cnf(c293,plain,
join(d,join(b,meet(c,d))) = join(d,b),
inference(substitution,[status(thm)],[c292]) ).
cnf(c294,plain,
join(d,b) = join(d,join(b,meet(c,d))),
inference(symmetry,[status(thm)],[c293]) ).
cnf(c295,plain,
meet(a,join(d,b)) = meet(a,join(d,join(b,meet(c,d)))),
inference(congruence,[status(thm)],[c294]) ).
cnf(c296,plain,
join(meet(c,a),meet(a,join(d,b))) = join(meet(c,a),meet(a,join(d,join(b,meet(c,d))))),
inference(congruence,[status(thm)],[c295]) ).
cnf(c297,plain,
meet(join(d,b),join(meet(c,a),meet(a,join(d,b)))) = meet(join(d,b),join(meet(c,a),meet(a,join(d,join(b,meet(c,d)))))),
inference(congruence,[status(thm)],[c296]) ).
cnf(c298,plain,
meet(join(c,b),meet(join(d,b),join(meet(c,a),meet(a,join(d,b))))) = meet(join(c,b),meet(join(d,b),join(meet(c,a),meet(a,join(d,join(b,meet(c,d))))))),
inference(congruence,[status(thm)],[c297]) ).
cnf(c299,plain,
meet(a,meet(join(c,b),meet(join(d,b),join(meet(c,a),meet(a,join(d,b)))))) = meet(a,meet(join(c,b),meet(join(d,b),join(meet(c,a),meet(a,join(d,join(b,meet(c,d)))))))),
inference(congruence,[status(thm)],[c298]) ).
cnf(c300,plain,
join(meet(d,a),meet(a,join(b,meet(c,d)))) = meet(a,join(d,join(b,meet(c,d)))),
inference(substitution,[status(thm)],[c274]) ).
cnf(c301,plain,
meet(a,join(d,join(b,meet(c,d)))) = join(meet(d,a),meet(a,join(b,meet(c,d)))),
inference(symmetry,[status(thm)],[c300]) ).
cnf(c302,plain,
join(meet(c,a),meet(a,join(d,join(b,meet(c,d))))) = join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d))))),
inference(congruence,[status(thm)],[c301]) ).
cnf(c303,plain,
meet(join(d,b),join(meet(c,a),meet(a,join(d,join(b,meet(c,d)))))) = meet(join(d,b),join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d)))))),
inference(congruence,[status(thm)],[c302]) ).
cnf(c304,plain,
meet(join(c,b),meet(join(d,b),join(meet(c,a),meet(a,join(d,join(b,meet(c,d))))))) = meet(join(c,b),meet(join(d,b),join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d))))))),
inference(congruence,[status(thm)],[c303]) ).
cnf(c305,plain,
meet(a,meet(join(c,b),meet(join(d,b),join(meet(c,a),meet(a,join(d,join(b,meet(c,d)))))))) = meet(a,meet(join(c,b),meet(join(d,b),join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d)))))))),
inference(congruence,[status(thm)],[c304]) ).
cnf(c306,plain,
meet(meet(join(c,b),join(d,b)),join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d)))))) = meet(join(c,b),meet(join(d,b),join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d))))))),
inference(substitution,[status(thm)],[c9]) ).
cnf(c307,plain,
meet(join(c,b),meet(join(d,b),join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d))))))) = meet(meet(join(c,b),join(d,b)),join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d)))))),
inference(symmetry,[status(thm)],[c306]) ).
cnf(c308,plain,
meet(a,meet(join(c,b),meet(join(d,b),join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d)))))))) = meet(a,meet(meet(join(c,b),join(d,b)),join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d))))))),
inference(congruence,[status(thm)],[c307]) ).
cnf(c309,plain,
meet(meet(a,meet(join(c,b),join(d,b))),join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d)))))) = meet(a,meet(meet(join(c,b),join(d,b)),join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d))))))),
inference(substitution,[status(thm)],[c9]) ).
cnf(c310,plain,
meet(a,meet(meet(join(c,b),join(d,b)),join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d))))))) = meet(meet(a,meet(join(c,b),join(d,b))),join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d)))))),
inference(symmetry,[status(thm)],[c309]) ).
cnf(c311,plain,
join(join(meet(c,a),meet(d,a)),meet(a,join(b,meet(c,d)))) = join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d))))),
inference(substitution,[status(thm)],[c86]) ).
cnf(c312,plain,
join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d))))) = join(join(meet(c,a),meet(d,a)),meet(a,join(b,meet(c,d)))),
inference(symmetry,[status(thm)],[c311]) ).
cnf(c313,plain,
meet(meet(a,meet(join(c,b),join(d,b))),join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d)))))) = meet(meet(a,meet(join(c,b),join(d,b))),join(join(meet(c,a),meet(d,a)),meet(a,join(b,meet(c,d))))),
inference(congruence,[status(thm)],[c312]) ).
cnf(c314,plain,
meet(a,d) = meet(d,a),
inference(substitution,[status(thm)],[c17]) ).
cnf(c315,plain,
meet(d,a) = meet(a,d),
inference(symmetry,[status(thm)],[c314]) ).
cnf(c316,plain,
join(meet(c,a),meet(d,a)) = join(meet(c,a),meet(a,d)),
inference(congruence,[status(thm)],[c315]) ).
cnf(c317,plain,
join(join(meet(c,a),meet(d,a)),meet(a,join(b,meet(c,d)))) = join(join(meet(c,a),meet(a,d)),meet(a,join(b,meet(c,d)))),
inference(congruence,[status(thm)],[c316]) ).
cnf(c318,plain,
meet(meet(a,meet(join(c,b),join(d,b))),join(join(meet(c,a),meet(d,a)),meet(a,join(b,meet(c,d))))) = meet(meet(a,meet(join(c,b),join(d,b))),join(join(meet(c,a),meet(a,d)),meet(a,join(b,meet(c,d))))),
inference(congruence,[status(thm)],[c317]) ).
cnf(c319,plain,
meet(a,c) = meet(c,a),
inference(substitution,[status(thm)],[c17]) ).
cnf(c320,plain,
meet(c,a) = meet(a,c),
inference(symmetry,[status(thm)],[c319]) ).
cnf(c321,plain,
join(meet(c,a),meet(a,d)) = join(meet(a,c),meet(a,d)),
inference(congruence,[status(thm)],[c320]) ).
cnf(c322,plain,
join(join(meet(c,a),meet(a,d)),meet(a,join(b,meet(c,d)))) = join(join(meet(a,c),meet(a,d)),meet(a,join(b,meet(c,d)))),
inference(congruence,[status(thm)],[c321]) ).
cnf(c323,plain,
meet(meet(a,meet(join(c,b),join(d,b))),join(join(meet(c,a),meet(a,d)),meet(a,join(b,meet(c,d))))) = meet(meet(a,meet(join(c,b),join(d,b))),join(join(meet(a,c),meet(a,d)),meet(a,join(b,meet(c,d))))),
inference(congruence,[status(thm)],[c322]) ).
cnf(c324,plain,
join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))) = join(join(meet(a,c),meet(a,d)),meet(a,join(b,meet(c,d)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c325,plain,
join(join(meet(a,c),meet(a,d)),meet(a,join(b,meet(c,d)))) = join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))),
inference(symmetry,[status(thm)],[c324]) ).
cnf(c326,plain,
meet(meet(a,meet(join(c,b),join(d,b))),join(join(meet(a,c),meet(a,d)),meet(a,join(b,meet(c,d))))) = meet(meet(a,meet(join(c,b),join(d,b))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(congruence,[status(thm)],[c325]) ).
cnf(c327,plain,
join(b,d) = join(d,b),
inference(substitution,[status(thm)],[c2]) ).
cnf(c328,plain,
join(d,b) = join(b,d),
inference(symmetry,[status(thm)],[c327]) ).
cnf(c329,plain,
meet(join(c,b),join(d,b)) = meet(join(c,b),join(b,d)),
inference(congruence,[status(thm)],[c328]) ).
cnf(c330,plain,
meet(a,meet(join(c,b),join(d,b))) = meet(a,meet(join(c,b),join(b,d))),
inference(congruence,[status(thm)],[c329]) ).
cnf(c331,plain,
meet(meet(a,meet(join(c,b),join(d,b))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) = meet(meet(a,meet(join(c,b),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(congruence,[status(thm)],[c330]) ).
cnf(c332,plain,
join(b,c) = join(c,b),
inference(substitution,[status(thm)],[c2]) ).
cnf(c333,plain,
join(c,b) = join(b,c),
inference(symmetry,[status(thm)],[c332]) ).
cnf(c334,plain,
meet(join(c,b),join(b,d)) = meet(join(b,c),join(b,d)),
inference(congruence,[status(thm)],[c333]) ).
cnf(c335,plain,
meet(a,meet(join(c,b),join(b,d))) = meet(a,meet(join(b,c),join(b,d))),
inference(congruence,[status(thm)],[c334]) ).
cnf(c336,plain,
meet(meet(a,meet(join(c,b),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(congruence,[status(thm)],[c335]) ).
cnf(c337,plain,
meet(meet(a,meet(join(c,b),join(d,b))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(transitivity,[status(thm)],[c331,c336]) ).
cnf(c338,plain,
meet(meet(a,meet(join(c,b),join(d,b))),join(join(meet(a,c),meet(a,d)),meet(a,join(b,meet(c,d))))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(transitivity,[status(thm)],[c326,c337]) ).
cnf(c339,plain,
meet(meet(a,meet(join(c,b),join(d,b))),join(join(meet(c,a),meet(a,d)),meet(a,join(b,meet(c,d))))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(transitivity,[status(thm)],[c323,c338]) ).
cnf(c340,plain,
meet(meet(a,meet(join(c,b),join(d,b))),join(join(meet(c,a),meet(d,a)),meet(a,join(b,meet(c,d))))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(transitivity,[status(thm)],[c318,c339]) ).
cnf(c341,plain,
meet(meet(a,meet(join(c,b),join(d,b))),join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d)))))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(transitivity,[status(thm)],[c313,c340]) ).
cnf(c342,plain,
meet(a,meet(meet(join(c,b),join(d,b)),join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d))))))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(transitivity,[status(thm)],[c310,c341]) ).
cnf(c343,plain,
meet(a,meet(join(c,b),meet(join(d,b),join(meet(c,a),join(meet(d,a),meet(a,join(b,meet(c,d)))))))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(transitivity,[status(thm)],[c308,c342]) ).
cnf(c344,plain,
meet(a,meet(join(c,b),meet(join(d,b),join(meet(c,a),meet(a,join(d,join(b,meet(c,d)))))))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(transitivity,[status(thm)],[c305,c343]) ).
cnf(c345,plain,
meet(a,meet(join(c,b),meet(join(d,b),join(meet(c,a),meet(a,join(d,b)))))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(transitivity,[status(thm)],[c299,c344]) ).
cnf(c346,plain,
meet(a,meet(join(c,b),meet(join(d,b),meet(a,join(c,join(d,b)))))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(transitivity,[status(thm)],[c279,c345]) ).
cnf(c347,plain,
meet(a,meet(join(c,b),meet(join(d,b),a))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(transitivity,[status(thm)],[c47,c346]) ).
cnf(c348,plain,
meet(a,meet(join(c,b),meet(a,join(d,b)))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(transitivity,[status(thm)],[c31,c347]) ).
cnf(c349,plain,
meet(a,meet(a,meet(join(c,b),join(d,b)))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(transitivity,[status(thm)],[c27,c348]) ).
cnf(c350,plain,
meet(a,meet(join(c,b),join(d,b))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(transitivity,[status(thm)],[c16,c349]) ).
cnf(c351,plain,
meet(a,meet(join(c,b),join(b,d))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(transitivity,[status(thm)],[c8,c350]) ).
cnf(c352,plain,
meet(a,meet(join(b,c),join(b,d))) = meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(transitivity,[status(thm)],[c5,c351]) ).
cnf(c353,plain,
$false,
inference(resolution,[status(thm)],[c1,c352]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT010-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 14:02:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.89/1.06 Command-line arguments: --no-flatten-goal
% 4.89/1.06
% 4.89/1.06 % SZS status Unsatisfiable
% 4.89/1.06
% 4.89/1.07 % SZS output start CNFRefutation
% See solution above
% 6.21/1.25
% 6.21/1.25 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------