%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT089-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:43:44 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.47s
% Output : CNFRefutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 76
% Number of leaves : 6
% Syntax : Number of clauses : 196 ( 196 unt; 0 nHn; 4 RR)
% Number of literals : 196 ( 195 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 393 ( 80 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
meet(b,a) != meet(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_2) ).
cnf(c2,axiom,
meet(meet(join(A,B),join(C,A)),A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_4) ).
cnf(c3,plain,
meet(meet(join(X3,X2),join(X,X3)),X3) = X3,
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
meet(X3,X3) = meet(meet(meet(join(X3,X2),join(X,X3)),X3),X3),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,plain,
meet(meet(join(X3,X2),join(X,X3)),X3) = X3,
inference(substitution,[status(thm)],[c2]) ).
cnf(c7,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),X3),X3) = meet(meet(meet(join(X3,X2),join(X,X3)),X3),meet(meet(join(X3,X2),join(X,X3)),X3)),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,plain,
meet(meet(join(X3,X2),join(X,X3)),X3) = X3,
inference(substitution,[status(thm)],[c2]) ).
cnf(c10,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,plain,
meet(meet(join(X3,X2),join(X,X3)),X3) = meet(meet(join(X3,X2),join(X,X3)),meet(meet(join(X3,X2),join(X,X3)),X3)),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),X3),meet(meet(join(X3,X2),join(X,X3)),X3)) = meet(meet(meet(join(X3,X2),join(X,X3)),meet(meet(join(X3,X2),join(X,X3)),X3)),meet(meet(join(X3,X2),join(X,X3)),X3)),
inference(congruence,[status(thm)],[c11]) ).
cnf(c13,axiom,
join(meet(A2,B2),meet(A2,join(A2,B2))) = A2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_1) ).
cnf(c14,plain,
join(meet(X2,X),meet(X2,join(X2,X))) = X2,
inference(substitution,[status(thm)],[c13]) ).
cnf(c15,plain,
X2 = join(meet(X2,X),meet(X2,join(X2,X))),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c16,plain,
meet(X2,meet(X2,X)) = meet(join(meet(X2,X),meet(X2,join(X2,X))),meet(X2,X)),
inference(congruence,[status(thm)],[c15]) ).
cnf(c17,plain,
meet(meet(X2,meet(X2,X)),meet(X2,X)) = meet(meet(join(meet(X2,X),meet(X2,join(X2,X))),meet(X2,X)),meet(X2,X)),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,axiom,
join(join(meet(A2,B2),meet(C2,A2)),A2) = A2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_5) ).
cnf(c19,plain,
join(join(meet(X2,X),meet(X3,X2)),X2) = X2,
inference(substitution,[status(thm)],[c18]) ).
cnf(c20,plain,
X3 = join(join(meet(X3,X2),meet(X,X3)),X3),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c21,plain,
meet(join(X4,X3),X4) = meet(join(X4,X3),join(join(meet(X4,X2),meet(X,X4)),X4)),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
meet(meet(join(X4,X3),X4),X4) = meet(meet(join(X4,X3),join(join(meet(X4,X2),meet(X,X4)),X4)),X4),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,plain,
meet(meet(join(X4,X3),join(join(meet(X4,X2),meet(X,X4)),X4)),X4) = X4,
inference(substitution,[status(thm)],[c2]) ).
cnf(c24,plain,
meet(meet(join(X2,X),X2),X2) = X2,
inference(transitivity,[status(thm)],[c22,c23]) ).
cnf(c25,plain,
meet(meet(join(meet(X2,X),meet(X2,join(X2,X))),meet(X2,X)),meet(X2,X)) = meet(X2,X),
inference(substitution,[status(thm)],[c24]) ).
cnf(c26,plain,
meet(meet(X2,meet(X2,X)),meet(X2,X)) = meet(X2,X),
inference(transitivity,[status(thm)],[c17,c25]) ).
cnf(c27,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),meet(meet(join(X3,X2),join(X,X3)),X3)),meet(meet(join(X3,X2),join(X,X3)),X3)) = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(substitution,[status(thm)],[c26]) ).
cnf(c28,plain,
meet(meet(join(X3,X2),join(X,X3)),X3) = X3,
inference(substitution,[status(thm)],[c2]) ).
cnf(c29,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),meet(meet(join(X3,X2),join(X,X3)),X3)),meet(meet(join(X3,X2),join(X,X3)),X3)) = X3,
inference(transitivity,[status(thm)],[c27,c28]) ).
cnf(c30,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),X3),meet(meet(join(X3,X2),join(X,X3)),X3)) = X3,
inference(transitivity,[status(thm)],[c12,c29]) ).
cnf(c31,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),X3),X3) = X3,
inference(transitivity,[status(thm)],[c8,c30]) ).
cnf(c32,plain,
meet(X,X) = X,
inference(transitivity,[status(thm)],[c5,c31]) ).
cnf(c33,plain,
X = meet(X,X),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c34,plain,
join(X,X) = join(X,meet(X,X)),
inference(congruence,[status(thm)],[c33]) ).
cnf(c35,plain,
meet(join(X,X),join(X,X)) = join(X,X),
inference(substitution,[status(thm)],[c32]) ).
cnf(c36,plain,
join(X,X) = meet(join(X,X),join(X,X)),
inference(symmetry,[status(thm)],[c35]) ).
cnf(c37,plain,
meet(join(X,X),X) = meet(meet(join(X,X),join(X,X)),X),
inference(congruence,[status(thm)],[c36]) ).
cnf(c38,plain,
meet(meet(join(X,X),join(X,X)),X) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c39,plain,
meet(join(X,X),X) = X,
inference(transitivity,[status(thm)],[c37,c38]) ).
cnf(c40,plain,
X = meet(join(X,X),X),
inference(symmetry,[status(thm)],[c39]) ).
cnf(c41,plain,
join(X,meet(X,X)) = join(meet(join(X,X),X),meet(X,X)),
inference(congruence,[status(thm)],[c40]) ).
cnf(c42,plain,
X = meet(X,X),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c43,plain,
join(X,X) = join(meet(X,X),X),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,plain,
join(join(X,X),X) = join(join(meet(X,X),X),X),
inference(congruence,[status(thm)],[c43]) ).
cnf(c45,plain,
meet(meet(join(X3,X2),join(X,X3)),X3) = X3,
inference(substitution,[status(thm)],[c2]) ).
cnf(c46,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c45]) ).
cnf(c47,plain,
join(meet(X4,X3),X4) = join(meet(X4,X3),meet(meet(join(X4,X2),join(X,X4)),X4)),
inference(congruence,[status(thm)],[c46]) ).
cnf(c48,plain,
join(join(meet(X4,X3),X4),X4) = join(join(meet(X4,X3),meet(meet(join(X4,X2),join(X,X4)),X4)),X4),
inference(congruence,[status(thm)],[c47]) ).
cnf(c49,plain,
join(join(meet(X4,X3),meet(meet(join(X4,X2),join(X,X4)),X4)),X4) = X4,
inference(substitution,[status(thm)],[c18]) ).
cnf(c50,plain,
join(join(meet(X2,X),X2),X2) = X2,
inference(transitivity,[status(thm)],[c48,c49]) ).
cnf(c51,plain,
join(join(meet(X,X),X),X) = X,
inference(substitution,[status(thm)],[c50]) ).
cnf(c52,plain,
join(join(X,X),X) = X,
inference(transitivity,[status(thm)],[c44,c51]) ).
cnf(c53,plain,
X = join(join(X,X),X),
inference(symmetry,[status(thm)],[c52]) ).
cnf(c54,plain,
meet(X,X) = meet(X,join(join(X,X),X)),
inference(congruence,[status(thm)],[c53]) ).
cnf(c55,plain,
join(meet(join(X,X),X),meet(X,X)) = join(meet(join(X,X),X),meet(X,join(join(X,X),X))),
inference(congruence,[status(thm)],[c54]) ).
cnf(c56,axiom,
join(meet(A2,B2),meet(B2,join(A2,B2))) = B2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_3) ).
cnf(c57,plain,
join(meet(join(X,X),X),meet(X,join(join(X,X),X))) = X,
inference(substitution,[status(thm)],[c56]) ).
cnf(c58,plain,
join(meet(join(X,X),X),meet(X,X)) = X,
inference(transitivity,[status(thm)],[c55,c57]) ).
cnf(c59,plain,
join(X,meet(X,X)) = X,
inference(transitivity,[status(thm)],[c41,c58]) ).
cnf(c60,plain,
join(X,X) = X,
inference(transitivity,[status(thm)],[c34,c59]) ).
cnf(c61,plain,
X = join(X,X),
inference(symmetry,[status(thm)],[c60]) ).
cnf(c62,plain,
meet(X2,X) = meet(join(X2,X2),X),
inference(congruence,[status(thm)],[c61]) ).
cnf(c63,plain,
join(X2,meet(X2,X)) = join(X2,meet(join(X2,X2),X)),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,plain,
X = meet(X,X),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c65,plain,
join(X2,meet(join(X2,X2),X)) = join(meet(X2,X2),meet(join(X2,X2),X)),
inference(congruence,[status(thm)],[c64]) ).
cnf(c66,plain,
join(meet(meet(X2,X),X2),meet(meet(X2,X),X2)) = meet(meet(X2,X),X2),
inference(substitution,[status(thm)],[c60]) ).
cnf(c67,plain,
meet(meet(X2,X),X2) = join(meet(meet(X2,X),X2),meet(meet(X2,X),X2)),
inference(symmetry,[status(thm)],[c66]) ).
cnf(c68,plain,
join(meet(join(meet(X2,X),X2),X2),meet(join(meet(X2,X),X2),join(join(meet(X2,X),X2),X2))) = join(meet(X2,X),X2),
inference(substitution,[status(thm)],[c13]) ).
cnf(c69,plain,
join(meet(X2,X),X2) = join(meet(join(meet(X2,X),X2),X2),meet(join(meet(X2,X),X2),join(join(meet(X2,X),X2),X2))),
inference(symmetry,[status(thm)],[c68]) ).
cnf(c70,plain,
join(meet(meet(X2,X),X),meet(meet(X2,X),X)) = meet(meet(X2,X),X),
inference(substitution,[status(thm)],[c60]) ).
cnf(c71,plain,
meet(meet(X2,X),X) = join(meet(meet(X2,X),X),meet(meet(X2,X),X)),
inference(symmetry,[status(thm)],[c70]) ).
cnf(c72,plain,
X = meet(X,X),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c73,plain,
join(meet(X2,X),X) = join(meet(X2,X),meet(X,X)),
inference(congruence,[status(thm)],[c72]) ).
cnf(c74,plain,
X = meet(X,X),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c75,plain,
join(X2,meet(X,X2)) = join(meet(X2,X2),meet(X,X2)),
inference(congruence,[status(thm)],[c74]) ).
cnf(c76,plain,
X = join(X,X),
inference(symmetry,[status(thm)],[c60]) ).
cnf(c77,plain,
meet(X,X2) = meet(X,join(X2,X2)),
inference(congruence,[status(thm)],[c76]) ).
cnf(c78,plain,
join(meet(X2,X2),meet(X,X2)) = join(meet(X2,X2),meet(X,join(X2,X2))),
inference(congruence,[status(thm)],[c77]) ).
cnf(c79,axiom,
join(meet(A2,A2),meet(B2,join(A2,A2))) = A2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wal_absorbtion_2) ).
cnf(c80,plain,
join(meet(X2,X2),meet(X,join(X2,X2))) = X2,
inference(substitution,[status(thm)],[c79]) ).
cnf(c81,plain,
join(meet(X2,X2),meet(X,X2)) = X2,
inference(transitivity,[status(thm)],[c78,c80]) ).
cnf(c82,plain,
join(X2,meet(X,X2)) = X2,
inference(transitivity,[status(thm)],[c75,c81]) ).
cnf(c83,plain,
join(X,meet(X2,X)) = X,
inference(substitution,[status(thm)],[c82]) ).
cnf(c84,plain,
X = join(X,meet(X2,X)),
inference(symmetry,[status(thm)],[c83]) ).
cnf(c85,plain,
meet(X,X) = meet(X,join(X,meet(X2,X))),
inference(congruence,[status(thm)],[c84]) ).
cnf(c86,plain,
join(meet(X2,X),meet(X,X)) = join(meet(X2,X),meet(X,join(X,meet(X2,X)))),
inference(congruence,[status(thm)],[c85]) ).
cnf(c87,plain,
join(join(meet(meet(X2,meet(X,X2)),meet(X,X2)),meet(X2,meet(X,X2))),meet(X2,meet(X,X2))) = meet(X2,meet(X,X2)),
inference(substitution,[status(thm)],[c50]) ).
cnf(c88,plain,
meet(X2,meet(X,X2)) = join(join(meet(meet(X2,meet(X,X2)),meet(X,X2)),meet(X2,meet(X,X2))),meet(X2,meet(X,X2))),
inference(symmetry,[status(thm)],[c87]) ).
cnf(c89,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c56]) ).
cnf(c90,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c89]) ).
cnf(c91,plain,
meet(X2,meet(X,X2)) = meet(join(meet(X,X2),meet(X2,join(X,X2))),meet(X,X2)),
inference(congruence,[status(thm)],[c90]) ).
cnf(c92,plain,
meet(meet(X2,meet(X,X2)),meet(X,X2)) = meet(meet(join(meet(X,X2),meet(X2,join(X,X2))),meet(X,X2)),meet(X,X2)),
inference(congruence,[status(thm)],[c91]) ).
cnf(c93,plain,
meet(meet(join(meet(X,X2),meet(X2,join(X,X2))),meet(X,X2)),meet(X,X2)) = meet(X,X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c94,plain,
meet(meet(X2,meet(X,X2)),meet(X,X2)) = meet(X,X2),
inference(transitivity,[status(thm)],[c92,c93]) ).
cnf(c95,plain,
join(meet(meet(X2,meet(X,X2)),meet(X,X2)),meet(X2,meet(X,X2))) = join(meet(X,X2),meet(X2,meet(X,X2))),
inference(congruence,[status(thm)],[c94]) ).
cnf(c96,plain,
join(join(meet(meet(X2,meet(X,X2)),meet(X,X2)),meet(X2,meet(X,X2))),meet(X2,meet(X,X2))) = join(join(meet(X,X2),meet(X2,meet(X,X2))),meet(X2,meet(X,X2))),
inference(congruence,[status(thm)],[c95]) ).
cnf(c97,plain,
join(meet(X,X2),meet(X2,meet(X,X2))) = meet(X,X2),
inference(substitution,[status(thm)],[c82]) ).
cnf(c98,plain,
join(join(meet(X,X2),meet(X2,meet(X,X2))),meet(X2,meet(X,X2))) = join(meet(X,X2),meet(X2,meet(X,X2))),
inference(congruence,[status(thm)],[c97]) ).
cnf(c99,plain,
join(meet(X,X2),meet(X2,meet(X,X2))) = meet(X,X2),
inference(substitution,[status(thm)],[c82]) ).
cnf(c100,plain,
join(join(meet(X,X2),meet(X2,meet(X,X2))),meet(X2,meet(X,X2))) = meet(X,X2),
inference(transitivity,[status(thm)],[c98,c99]) ).
cnf(c101,plain,
join(join(meet(meet(X2,meet(X,X2)),meet(X,X2)),meet(X2,meet(X,X2))),meet(X2,meet(X,X2))) = meet(X,X2),
inference(transitivity,[status(thm)],[c96,c100]) ).
cnf(c102,plain,
meet(X2,meet(X,X2)) = meet(X,X2),
inference(transitivity,[status(thm)],[c88,c101]) ).
cnf(c103,plain,
meet(X,meet(X2,X)) = meet(X2,X),
inference(substitution,[status(thm)],[c102]) ).
cnf(c104,plain,
meet(X2,X) = meet(X,meet(X2,X)),
inference(symmetry,[status(thm)],[c103]) ).
cnf(c105,plain,
join(meet(X2,X),meet(X,join(X,meet(X2,X)))) = join(meet(X,meet(X2,X)),meet(X,join(X,meet(X2,X)))),
inference(congruence,[status(thm)],[c104]) ).
cnf(c106,plain,
join(meet(X,meet(X2,X)),meet(X,join(X,meet(X2,X)))) = X,
inference(substitution,[status(thm)],[c13]) ).
cnf(c107,plain,
join(meet(X2,X),meet(X,join(X,meet(X2,X)))) = X,
inference(transitivity,[status(thm)],[c105,c106]) ).
cnf(c108,plain,
join(meet(X2,X),meet(X,X)) = X,
inference(transitivity,[status(thm)],[c86,c107]) ).
cnf(c109,plain,
join(meet(X2,X),X) = X,
inference(transitivity,[status(thm)],[c73,c108]) ).
cnf(c110,plain,
X = join(meet(X2,X),X),
inference(symmetry,[status(thm)],[c109]) ).
cnf(c111,plain,
meet(meet(X2,X),X) = meet(meet(X2,X),join(meet(X2,X),X)),
inference(congruence,[status(thm)],[c110]) ).
cnf(c112,plain,
join(meet(meet(X2,X),X),meet(meet(X2,X),X)) = join(meet(meet(X2,X),X),meet(meet(X2,X),join(meet(X2,X),X))),
inference(congruence,[status(thm)],[c111]) ).
cnf(c113,plain,
join(meet(meet(X2,X),X),meet(meet(X2,X),join(meet(X2,X),X))) = meet(X2,X),
inference(substitution,[status(thm)],[c13]) ).
cnf(c114,plain,
join(meet(meet(X2,X),X),meet(meet(X2,X),X)) = meet(X2,X),
inference(transitivity,[status(thm)],[c112,c113]) ).
cnf(c115,plain,
meet(meet(X2,X),X) = meet(X2,X),
inference(transitivity,[status(thm)],[c71,c114]) ).
cnf(c116,plain,
meet(meet(X2,join(meet(X2,X),X2)),join(meet(X2,X),X2)) = meet(X2,join(meet(X2,X),X2)),
inference(substitution,[status(thm)],[c115]) ).
cnf(c117,plain,
meet(X2,join(meet(X2,X),X2)) = meet(meet(X2,join(meet(X2,X),X2)),join(meet(X2,X),X2)),
inference(symmetry,[status(thm)],[c116]) ).
cnf(c118,plain,
join(meet(join(meet(X2,X),X2),X2),meet(join(meet(X2,X),X2),X2)) = meet(join(meet(X2,X),X2),X2),
inference(substitution,[status(thm)],[c60]) ).
cnf(c119,plain,
meet(join(meet(X2,X),X2),X2) = join(meet(join(meet(X2,X),X2),X2),meet(join(meet(X2,X),X2),X2)),
inference(symmetry,[status(thm)],[c118]) ).
cnf(c120,plain,
X2 = join(join(meet(X2,X),X2),X2),
inference(symmetry,[status(thm)],[c50]) ).
cnf(c121,plain,
meet(join(meet(X2,X),X2),X2) = meet(join(meet(X2,X),X2),join(join(meet(X2,X),X2),X2)),
inference(congruence,[status(thm)],[c120]) ).
cnf(c122,plain,
join(meet(join(meet(X2,X),X2),X2),meet(join(meet(X2,X),X2),X2)) = join(meet(join(meet(X2,X),X2),X2),meet(join(meet(X2,X),X2),join(join(meet(X2,X),X2),X2))),
inference(congruence,[status(thm)],[c121]) ).
cnf(c123,plain,
join(meet(join(meet(X2,X),X2),X2),meet(join(meet(X2,X),X2),join(join(meet(X2,X),X2),X2))) = join(meet(X2,X),X2),
inference(substitution,[status(thm)],[c13]) ).
cnf(c124,plain,
join(meet(join(meet(X2,X),X2),X2),meet(join(meet(X2,X),X2),X2)) = join(meet(X2,X),X2),
inference(transitivity,[status(thm)],[c122,c123]) ).
cnf(c125,plain,
meet(join(meet(X2,X),X2),X2) = join(meet(X2,X),X2),
inference(transitivity,[status(thm)],[c119,c124]) ).
cnf(c126,plain,
join(meet(X2,X),X2) = meet(join(meet(X2,X),X2),X2),
inference(symmetry,[status(thm)],[c125]) ).
cnf(c127,plain,
meet(meet(X2,join(meet(X2,X),X2)),join(meet(X2,X),X2)) = meet(meet(X2,join(meet(X2,X),X2)),meet(join(meet(X2,X),X2),X2)),
inference(congruence,[status(thm)],[c126]) ).
cnf(c128,plain,
join(meet(X2,X),X2) = meet(join(meet(X2,X),X2),X2),
inference(symmetry,[status(thm)],[c125]) ).
cnf(c129,plain,
meet(X2,join(meet(X2,X),X2)) = meet(X2,meet(join(meet(X2,X),X2),X2)),
inference(congruence,[status(thm)],[c128]) ).
cnf(c130,plain,
meet(meet(X2,join(meet(X2,X),X2)),meet(join(meet(X2,X),X2),X2)) = meet(meet(X2,meet(join(meet(X2,X),X2),X2)),meet(join(meet(X2,X),X2),X2)),
inference(congruence,[status(thm)],[c129]) ).
cnf(c131,plain,
meet(meet(X2,meet(join(meet(X2,X),X2),X2)),meet(join(meet(X2,X),X2),X2)) = meet(join(meet(X2,X),X2),X2),
inference(substitution,[status(thm)],[c94]) ).
cnf(c132,plain,
meet(meet(X2,meet(join(meet(X2,X),X2),X2)),meet(join(meet(X2,X),X2),X2)) = join(meet(X2,X),X2),
inference(transitivity,[status(thm)],[c131,c125]) ).
cnf(c133,plain,
meet(meet(X2,join(meet(X2,X),X2)),meet(join(meet(X2,X),X2),X2)) = join(meet(X2,X),X2),
inference(transitivity,[status(thm)],[c130,c132]) ).
cnf(c134,plain,
meet(meet(X2,join(meet(X2,X),X2)),join(meet(X2,X),X2)) = join(meet(X2,X),X2),
inference(transitivity,[status(thm)],[c127,c133]) ).
cnf(c135,plain,
meet(X2,join(meet(X2,X),X2)) = join(meet(X2,X),X2),
inference(transitivity,[status(thm)],[c117,c134]) ).
cnf(c136,plain,
join(meet(X2,X),X2) = meet(X2,join(meet(X2,X),X2)),
inference(symmetry,[status(thm)],[c135]) ).
cnf(c137,plain,
meet(join(meet(X2,X),X2),X2) = meet(meet(X2,join(meet(X2,X),X2)),X2),
inference(congruence,[status(thm)],[c136]) ).
cnf(c138,plain,
X = meet(X,X),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c139,plain,
join(X,join(X,X)) = join(meet(X,X),join(X,X)),
inference(congruence,[status(thm)],[c138]) ).
cnf(c140,plain,
meet(meet(join(join(X3,X3),X2),join(X,join(X3,X3))),join(X3,X3)) = join(X3,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c141,plain,
join(X3,X3) = meet(meet(join(join(X3,X3),X2),join(X,join(X3,X3))),join(X3,X3)),
inference(symmetry,[status(thm)],[c140]) ).
cnf(c142,plain,
join(meet(X3,X3),join(X3,X3)) = join(meet(X3,X3),meet(meet(join(join(X3,X3),X2),join(X,join(X3,X3))),join(X3,X3))),
inference(congruence,[status(thm)],[c141]) ).
cnf(c143,plain,
join(meet(X3,X3),meet(meet(join(join(X3,X3),X2),join(X,join(X3,X3))),join(X3,X3))) = X3,
inference(substitution,[status(thm)],[c79]) ).
cnf(c144,plain,
join(meet(X,X),join(X,X)) = X,
inference(transitivity,[status(thm)],[c142,c143]) ).
cnf(c145,plain,
join(X,join(X,X)) = X,
inference(transitivity,[status(thm)],[c139,c144]) ).
cnf(c146,plain,
X = join(X,join(X,X)),
inference(symmetry,[status(thm)],[c145]) ).
cnf(c147,plain,
meet(X2,join(X,X2)) = meet(join(X2,join(X2,X2)),join(X,X2)),
inference(congruence,[status(thm)],[c146]) ).
cnf(c148,plain,
meet(meet(X2,join(X,X2)),X2) = meet(meet(join(X2,join(X2,X2)),join(X,X2)),X2),
inference(congruence,[status(thm)],[c147]) ).
cnf(c149,plain,
meet(meet(join(X2,join(X2,X2)),join(X,X2)),X2) = X2,
inference(substitution,[status(thm)],[c2]) ).
cnf(c150,plain,
meet(meet(X2,join(X,X2)),X2) = X2,
inference(transitivity,[status(thm)],[c148,c149]) ).
cnf(c151,plain,
meet(meet(X2,join(meet(X2,X),X2)),X2) = X2,
inference(substitution,[status(thm)],[c150]) ).
cnf(c152,plain,
meet(join(meet(X2,X),X2),X2) = X2,
inference(transitivity,[status(thm)],[c137,c151]) ).
cnf(c153,plain,
join(meet(join(meet(X2,X),X2),X2),meet(join(meet(X2,X),X2),join(join(meet(X2,X),X2),X2))) = join(X2,meet(join(meet(X2,X),X2),join(join(meet(X2,X),X2),X2))),
inference(congruence,[status(thm)],[c152]) ).
cnf(c154,plain,
meet(join(meet(X2,X),X2),join(join(meet(X2,X),X2),X2)) = meet(join(meet(X2,X),X2),X2),
inference(congruence,[status(thm)],[c50]) ).
cnf(c155,plain,
join(X2,meet(join(meet(X2,X),X2),join(join(meet(X2,X),X2),X2))) = join(X2,meet(join(meet(X2,X),X2),X2)),
inference(congruence,[status(thm)],[c154]) ).
cnf(c156,plain,
join(X2,meet(join(meet(X2,X),X2),X2)) = X2,
inference(substitution,[status(thm)],[c82]) ).
cnf(c157,plain,
join(X2,meet(join(meet(X2,X),X2),join(join(meet(X2,X),X2),X2))) = X2,
inference(transitivity,[status(thm)],[c155,c156]) ).
cnf(c158,plain,
join(meet(join(meet(X2,X),X2),X2),meet(join(meet(X2,X),X2),join(join(meet(X2,X),X2),X2))) = X2,
inference(transitivity,[status(thm)],[c153,c157]) ).
cnf(c159,plain,
join(meet(X2,X),X2) = X2,
inference(transitivity,[status(thm)],[c69,c158]) ).
cnf(c160,plain,
X2 = join(meet(X2,X),X2),
inference(symmetry,[status(thm)],[c159]) ).
cnf(c161,plain,
meet(meet(X2,X),X2) = meet(meet(X2,X),join(meet(X2,X),X2)),
inference(congruence,[status(thm)],[c160]) ).
cnf(c162,plain,
join(meet(meet(X2,X),X2),meet(meet(X2,X),X2)) = join(meet(meet(X2,X),X2),meet(meet(X2,X),join(meet(X2,X),X2))),
inference(congruence,[status(thm)],[c161]) ).
cnf(c163,plain,
join(meet(meet(X2,X),X2),meet(meet(X2,X),join(meet(X2,X),X2))) = meet(X2,X),
inference(substitution,[status(thm)],[c13]) ).
cnf(c164,plain,
join(meet(meet(X2,X),X2),meet(meet(X2,X),X2)) = meet(X2,X),
inference(transitivity,[status(thm)],[c162,c163]) ).
cnf(c165,plain,
meet(meet(X2,X),X2) = meet(X2,X),
inference(transitivity,[status(thm)],[c67,c164]) ).
cnf(c166,plain,
meet(meet(join(X2,X2),X),join(X2,X2)) = meet(join(X2,X2),X),
inference(substitution,[status(thm)],[c165]) ).
cnf(c167,plain,
meet(join(X2,X2),X) = meet(meet(join(X2,X2),X),join(X2,X2)),
inference(symmetry,[status(thm)],[c166]) ).
cnf(c168,plain,
join(meet(X2,X2),meet(join(X2,X2),X)) = join(meet(X2,X2),meet(meet(join(X2,X2),X),join(X2,X2))),
inference(congruence,[status(thm)],[c167]) ).
cnf(c169,plain,
join(meet(X2,X2),meet(meet(join(X2,X2),X),join(X2,X2))) = X2,
inference(substitution,[status(thm)],[c79]) ).
cnf(c170,plain,
join(meet(X2,X2),meet(join(X2,X2),X)) = X2,
inference(transitivity,[status(thm)],[c168,c169]) ).
cnf(c171,plain,
join(X2,meet(join(X2,X2),X)) = X2,
inference(transitivity,[status(thm)],[c65,c170]) ).
cnf(c172,plain,
join(X2,meet(X2,X)) = X2,
inference(transitivity,[status(thm)],[c63,c171]) ).
cnf(c173,plain,
join(X,meet(X,X2)) = X,
inference(substitution,[status(thm)],[c172]) ).
cnf(c174,plain,
X = join(X,meet(X,X2)),
inference(symmetry,[status(thm)],[c173]) ).
cnf(c175,plain,
meet(X2,X) = meet(X2,join(X,meet(X,X2))),
inference(congruence,[status(thm)],[c174]) ).
cnf(c176,plain,
meet(meet(X2,X),meet(X,X2)) = meet(meet(X2,join(X,meet(X,X2))),meet(X,X2)),
inference(congruence,[status(thm)],[c175]) ).
cnf(c177,plain,
join(meet(X,X2),meet(X2,join(X,X2))) = X2,
inference(substitution,[status(thm)],[c56]) ).
cnf(c178,plain,
X2 = join(meet(X,X2),meet(X2,join(X,X2))),
inference(symmetry,[status(thm)],[c177]) ).
cnf(c179,plain,
meet(X3,join(X2,meet(X,X3))) = meet(join(meet(X,X3),meet(X3,join(X,X3))),join(X2,meet(X,X3))),
inference(congruence,[status(thm)],[c178]) ).
cnf(c180,plain,
meet(meet(X3,join(X2,meet(X,X3))),meet(X,X3)) = meet(meet(join(meet(X,X3),meet(X3,join(X,X3))),join(X2,meet(X,X3))),meet(X,X3)),
inference(congruence,[status(thm)],[c179]) ).
cnf(c181,plain,
meet(meet(join(meet(X,X3),meet(X3,join(X,X3))),join(X2,meet(X,X3))),meet(X,X3)) = meet(X,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c182,plain,
meet(meet(X3,join(X2,meet(X,X3))),meet(X,X3)) = meet(X,X3),
inference(transitivity,[status(thm)],[c180,c181]) ).
cnf(c183,plain,
meet(meet(X2,join(X,meet(X,X2))),meet(X,X2)) = meet(X,X2),
inference(substitution,[status(thm)],[c182]) ).
cnf(c184,plain,
meet(meet(X2,X),meet(X,X2)) = meet(X,X2),
inference(transitivity,[status(thm)],[c176,c183]) ).
cnf(c185,plain,
meet(meet(X,X2),meet(X2,X)) = meet(X2,X),
inference(substitution,[status(thm)],[c184]) ).
cnf(c186,plain,
meet(X2,X) = meet(meet(X,X2),meet(X2,X)),
inference(symmetry,[status(thm)],[c185]) ).
cnf(c187,plain,
meet(meet(meet(X,X2),meet(X2,X)),meet(X,X2)) = meet(meet(X,X2),meet(X2,X)),
inference(substitution,[status(thm)],[c165]) ).
cnf(c188,plain,
meet(meet(X,X2),meet(X2,X)) = meet(meet(meet(X,X2),meet(X2,X)),meet(X,X2)),
inference(symmetry,[status(thm)],[c187]) ).
cnf(c189,plain,
meet(meet(X,X2),meet(X2,X)) = meet(X2,X),
inference(substitution,[status(thm)],[c184]) ).
cnf(c190,plain,
meet(meet(meet(X,X2),meet(X2,X)),meet(X,X2)) = meet(meet(X2,X),meet(X,X2)),
inference(congruence,[status(thm)],[c189]) ).
cnf(c191,plain,
meet(meet(meet(X,X2),meet(X2,X)),meet(X,X2)) = meet(X,X2),
inference(transitivity,[status(thm)],[c190,c184]) ).
cnf(c192,plain,
meet(meet(X,X2),meet(X2,X)) = meet(X,X2),
inference(transitivity,[status(thm)],[c188,c191]) ).
cnf(c193,plain,
meet(X2,X) = meet(X,X2),
inference(transitivity,[status(thm)],[c186,c192]) ).
cnf(c194,plain,
meet(a,b) = meet(b,a),
inference(substitution,[status(thm)],[c193]) ).
cnf(c195,plain,
meet(b,a) = meet(a,b),
inference(symmetry,[status(thm)],[c194]) ).
cnf(c196,plain,
$false,
inference(resolution,[status(thm)],[c1,c195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT089-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n019.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 14:00:48 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 Command-line arguments: --no-flatten-goal
% 0.19/0.47
% 0.19/0.47 % SZS status Unsatisfiable
% 0.19/0.47
% 0.19/0.48 % SZS output start CNFRefutation
% See solution above
% 1.21/0.63
% 1.21/0.63 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------