%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT138-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 11:44:25 AM UTC 2026
% Result : Unsatisfiable 189.63s 24.38s
% Output : CNFRefutation 191.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 9
% Syntax : Number of clauses : 126 ( 126 unt; 0 nHn; 4 RR)
% Number of literals : 126 ( 125 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 364 ( 30 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_H6) ).
cnf(c2,axiom,
meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
cnf(c3,plain,
meet(meet(X3,X2),X3) = meet(X3,meet(X3,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
meet(X3,meet(X3,X2)) = meet(meet(X3,X2),X3),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
join(X2,meet(X2,Y2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
cnf(c6,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
X3 = join(X3,meet(X3,X2)),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
meet(meet(X3,X2),X3) = meet(meet(X3,X2),join(X3,meet(X3,X2))),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,axiom,
join(X2,Y2) = join(Y2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
cnf(c10,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c9]) ).
cnf(c11,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c10]) ).
cnf(c12,plain,
meet(X3,join(X2,X3)) = meet(X3,join(X3,X2)),
inference(congruence,[status(thm)],[c11]) ).
cnf(c13,axiom,
meet(X2,join(X2,Y2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
cnf(c14,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c13]) ).
cnf(c15,plain,
meet(X3,join(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c12,c14]) ).
cnf(c16,plain,
meet(meet(X3,X2),join(X3,meet(X3,X2))) = meet(X3,X2),
inference(substitution,[status(thm)],[c15]) ).
cnf(c17,plain,
meet(meet(X3,X2),X3) = meet(X3,X2),
inference(transitivity,[status(thm)],[c8,c16]) ).
cnf(c18,plain,
meet(X3,meet(X3,X2)) = meet(X3,X2),
inference(transitivity,[status(thm)],[c4,c17]) ).
cnf(c19,plain,
meet(X3,meet(X3,join(meet(X3,join(X2,meet(X3,X4))),meet(X4,join(X3,X2))))) = meet(X3,join(meet(X3,join(X2,meet(X3,X4))),meet(X4,join(X3,X2)))),
inference(substitution,[status(thm)],[c18]) ).
cnf(c20,plain,
meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))) = meet(X4,meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3))))),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c21,plain,
meet(meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))),X4) = meet(X4,meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3))))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c22,plain,
meet(X4,meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3))))) = meet(meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))),X4),
inference(symmetry,[status(thm)],[c21]) ).
cnf(c23,plain,
meet(meet(X4,X2),X3) = meet(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c24,plain,
meet(X3,meet(X4,X2)) = meet(meet(X4,X2),X3),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,axiom,
meet(meet(X2,Y2),Z) = meet(X2,meet(Y2,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
cnf(c26,plain,
meet(meet(X4,X2),X3) = meet(X4,meet(X2,X3)),
inference(substitution,[status(thm)],[c25]) ).
cnf(c27,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c28,plain,
meet(X4,meet(X2,X3)) = meet(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c27]) ).
cnf(c29,plain,
meet(meet(X4,X2),X3) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c26,c28]) ).
cnf(c30,plain,
meet(X3,meet(X4,X2)) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c24,c29]) ).
cnf(c31,plain,
meet(X4,meet(X3,join(X2,X4))) = meet(X3,meet(X4,join(X2,X4))),
inference(substitution,[status(thm)],[c30]) ).
cnf(c32,plain,
meet(X3,meet(X4,join(X2,X4))) = meet(X3,X4),
inference(congruence,[status(thm)],[c15]) ).
cnf(c33,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c34,plain,
meet(X3,meet(X4,join(X2,X4))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c32,c33]) ).
cnf(c35,plain,
meet(X4,meet(X3,join(X2,X4))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c31,c34]) ).
cnf(c36,plain,
meet(meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))),meet(X4,join(X3,meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3))))))) = meet(meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))),X4),
inference(substitution,[status(thm)],[c35]) ).
cnf(c37,plain,
meet(meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))),X4) = meet(meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))),meet(X4,join(X3,meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3))))))),
inference(symmetry,[status(thm)],[c36]) ).
cnf(c38,plain,
join(join(X4,X2),X3) = join(X3,join(X4,X2)),
inference(substitution,[status(thm)],[c9]) ).
cnf(c39,plain,
join(X3,join(X4,X2)) = join(join(X4,X2),X3),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c40,axiom,
join(join(X2,Y2),Z2) = join(X2,join(Y2,Z2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
cnf(c41,plain,
join(join(X4,X2),X3) = join(X4,join(X2,X3)),
inference(substitution,[status(thm)],[c40]) ).
cnf(c42,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c9]) ).
cnf(c43,plain,
join(X4,join(X2,X3)) = join(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,plain,
join(join(X4,X2),X3) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c41,c43]) ).
cnf(c45,plain,
join(X3,join(X4,X2)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c39,c44]) ).
cnf(c46,plain,
join(meet(X4,join(X3,meet(X2,join(X4,X6)))),join(X5,meet(X4,X2))) = join(X5,join(meet(X4,join(X3,meet(X2,join(X4,X6)))),meet(X4,X2))),
inference(substitution,[status(thm)],[c45]) ).
cnf(c47,plain,
meet(meet(X3,join(X5,X2)),meet(X5,join(X4,meet(X3,join(X5,X2))))) = meet(meet(X5,join(X4,meet(X3,join(X5,X2)))),meet(X3,join(X5,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c48,plain,
meet(meet(X5,join(X4,meet(X3,join(X5,X2)))),meet(X3,join(X5,X2))) = meet(meet(X3,join(X5,X2)),meet(X5,join(X4,meet(X3,join(X5,X2))))),
inference(symmetry,[status(thm)],[c47]) ).
cnf(c49,plain,
meet(meet(X3,join(X5,X2)),meet(X5,join(X4,meet(X3,join(X5,X2))))) = meet(X5,meet(meet(X3,join(X5,X2)),join(X4,meet(X3,join(X5,X2))))),
inference(substitution,[status(thm)],[c30]) ).
cnf(c50,plain,
meet(meet(X3,join(X5,X2)),join(X4,meet(X3,join(X5,X2)))) = meet(X3,join(X5,X2)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c51,plain,
meet(X5,meet(meet(X3,join(X5,X2)),join(X4,meet(X3,join(X5,X2))))) = meet(X5,meet(X3,join(X5,X2))),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,plain,
meet(X4,meet(X3,join(X4,X2))) = meet(X3,meet(X4,join(X4,X2))),
inference(substitution,[status(thm)],[c30]) ).
cnf(c53,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c13]) ).
cnf(c54,plain,
meet(X3,meet(X4,join(X4,X2))) = meet(X3,X4),
inference(congruence,[status(thm)],[c53]) ).
cnf(c55,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c56,plain,
meet(X3,meet(X4,join(X4,X2))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c54,c55]) ).
cnf(c57,plain,
meet(X4,meet(X3,join(X4,X2))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c52,c56]) ).
cnf(c58,plain,
meet(X5,meet(meet(X3,join(X5,X2)),join(X4,meet(X3,join(X5,X2))))) = meet(X5,X3),
inference(transitivity,[status(thm)],[c51,c57]) ).
cnf(c59,plain,
meet(meet(X3,join(X5,X2)),meet(X5,join(X4,meet(X3,join(X5,X2))))) = meet(X5,X3),
inference(transitivity,[status(thm)],[c49,c58]) ).
cnf(c60,plain,
meet(meet(X5,join(X4,meet(X3,join(X5,X2)))),meet(X3,join(X5,X2))) = meet(X5,X3),
inference(transitivity,[status(thm)],[c48,c59]) ).
cnf(c61,plain,
meet(X5,X3) = meet(meet(X5,join(X4,meet(X3,join(X5,X2)))),meet(X3,join(X5,X2))),
inference(symmetry,[status(thm)],[c60]) ).
cnf(c62,plain,
join(meet(X5,join(X4,meet(X3,join(X5,X2)))),meet(X5,X3)) = join(meet(X5,join(X4,meet(X3,join(X5,X2)))),meet(meet(X5,join(X4,meet(X3,join(X5,X2)))),meet(X3,join(X5,X2)))),
inference(congruence,[status(thm)],[c61]) ).
cnf(c63,plain,
join(meet(X5,join(X4,meet(X3,join(X5,X2)))),meet(meet(X5,join(X4,meet(X3,join(X5,X2)))),meet(X3,join(X5,X2)))) = meet(X5,join(X4,meet(X3,join(X5,X2)))),
inference(substitution,[status(thm)],[c5]) ).
cnf(c64,plain,
join(meet(X5,join(X4,meet(X3,join(X5,X2)))),meet(X5,X3)) = meet(X5,join(X4,meet(X3,join(X5,X2)))),
inference(transitivity,[status(thm)],[c62,c63]) ).
cnf(c65,plain,
join(X2,join(meet(X6,join(X5,meet(X4,join(X6,X3)))),meet(X6,X4))) = join(X2,meet(X6,join(X5,meet(X4,join(X6,X3))))),
inference(congruence,[status(thm)],[c64]) ).
cnf(c66,plain,
join(meet(X6,join(X5,meet(X4,join(X6,X3)))),join(X2,meet(X6,X4))) = join(X2,meet(X6,join(X5,meet(X4,join(X6,X3))))),
inference(transitivity,[status(thm)],[c46,c65]) ).
cnf(c67,plain,
join(meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))),join(X3,meet(X4,X2))) = join(X3,meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3))))),
inference(substitution,[status(thm)],[c66]) ).
cnf(c68,plain,
join(X3,meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3))))) = join(meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))),join(X3,meet(X4,X2))),
inference(symmetry,[status(thm)],[c67]) ).
cnf(c69,plain,
meet(X4,join(X3,meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))))) = meet(X4,join(meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))),join(X3,meet(X4,X2)))),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,plain,
join(join(X3,meet(X4,X2)),meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3))))) = join(meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))),join(X3,meet(X4,X2))),
inference(substitution,[status(thm)],[c9]) ).
cnf(c71,plain,
join(meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))),join(X3,meet(X4,X2))) = join(join(X3,meet(X4,X2)),meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3))))),
inference(symmetry,[status(thm)],[c70]) ).
cnf(c72,plain,
meet(X4,join(meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))),join(X3,meet(X4,X2)))) = meet(X4,join(join(X3,meet(X4,X2)),meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))))),
inference(congruence,[status(thm)],[c71]) ).
cnf(c73,plain,
join(X4,join(X3,meet(X4,X2))) = join(X3,join(X4,meet(X4,X2))),
inference(substitution,[status(thm)],[c45]) ).
cnf(c74,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c5]) ).
cnf(c75,plain,
join(X3,join(X4,meet(X4,X2))) = join(X3,X4),
inference(congruence,[status(thm)],[c74]) ).
cnf(c76,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c9]) ).
cnf(c77,plain,
join(X3,join(X4,meet(X4,X2))) = join(X4,X3),
inference(transitivity,[status(thm)],[c75,c76]) ).
cnf(c78,plain,
join(X4,join(X3,meet(X4,X2))) = join(X4,X3),
inference(transitivity,[status(thm)],[c73,c77]) ).
cnf(c79,plain,
join(X4,X3) = join(X4,join(X3,meet(X4,X2))),
inference(symmetry,[status(thm)],[c78]) ).
cnf(c80,plain,
meet(X2,join(X5,X4)) = meet(X2,join(X5,join(X4,meet(X5,X3)))),
inference(congruence,[status(thm)],[c79]) ).
cnf(c81,plain,
join(meet(X5,join(X4,meet(X5,X3))),meet(X2,join(X5,X4))) = join(meet(X5,join(X4,meet(X5,X3))),meet(X2,join(X5,join(X4,meet(X5,X3))))),
inference(congruence,[status(thm)],[c80]) ).
cnf(c82,plain,
meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(X2,join(X5,X4)))) = meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(X2,join(X5,join(X4,meet(X5,X3)))))),
inference(congruence,[status(thm)],[c81]) ).
cnf(c83,plain,
join(join(X4,meet(X5,X3)),meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(X2,join(X5,X4))))) = join(join(X4,meet(X5,X3)),meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(X2,join(X5,join(X4,meet(X5,X3))))))),
inference(congruence,[status(thm)],[c82]) ).
cnf(c84,plain,
meet(X5,join(join(X4,meet(X5,X3)),meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(X2,join(X5,X4)))))) = meet(X5,join(join(X4,meet(X5,X3)),meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(X2,join(X5,join(X4,meet(X5,X3)))))))),
inference(congruence,[status(thm)],[c83]) ).
cnf(c85,axiom,
meet(X2,join(Y2,meet(X2,Z2))) = meet(X2,join(Y2,meet(X2,join(meet(X2,Y2),meet(Z2,join(X2,Y2)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H7) ).
cnf(c86,plain,
meet(X5,join(join(X4,meet(X5,X3)),meet(X5,X2))) = meet(X5,join(join(X4,meet(X5,X3)),meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(X2,join(X5,join(X4,meet(X5,X3)))))))),
inference(substitution,[status(thm)],[c85]) ).
cnf(c87,plain,
meet(X5,join(join(X4,meet(X5,X3)),meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(X2,join(X5,join(X4,meet(X5,X3)))))))) = meet(X5,join(join(X4,meet(X5,X3)),meet(X5,X2))),
inference(symmetry,[status(thm)],[c86]) ).
cnf(c88,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c89,plain,
join(join(X4,meet(X5,X3)),meet(X5,X2)) = join(join(X4,meet(X5,X3)),meet(X2,X5)),
inference(congruence,[status(thm)],[c88]) ).
cnf(c90,plain,
meet(X5,join(join(X4,meet(X5,X3)),meet(X5,X2))) = meet(X5,join(join(X4,meet(X5,X3)),meet(X2,X5))),
inference(congruence,[status(thm)],[c89]) ).
cnf(c91,plain,
meet(X5,join(join(X4,meet(X5,X3)),meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(X2,join(X5,join(X4,meet(X5,X3)))))))) = meet(X5,join(join(X4,meet(X5,X3)),meet(X2,X5))),
inference(transitivity,[status(thm)],[c87,c90]) ).
cnf(c92,plain,
meet(X5,join(join(X4,meet(X5,X3)),meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(X2,join(X5,X4)))))) = meet(X5,join(join(X4,meet(X5,X3)),meet(X2,X5))),
inference(transitivity,[status(thm)],[c84,c91]) ).
cnf(c93,plain,
meet(X4,join(join(X3,meet(X4,X2)),meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))))) = meet(X4,join(join(X3,meet(X4,X2)),meet(X2,X4))),
inference(substitution,[status(thm)],[c92]) ).
cnf(c94,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c95,plain,
join(join(X3,meet(X4,X2)),meet(X2,X4)) = join(join(X3,meet(X4,X2)),meet(X4,X2)),
inference(congruence,[status(thm)],[c94]) ).
cnf(c96,plain,
meet(X4,join(join(X3,meet(X4,X2)),meet(X2,X4))) = meet(X4,join(join(X3,meet(X4,X2)),meet(X4,X2))),
inference(congruence,[status(thm)],[c95]) ).
cnf(c97,plain,
join(join(X3,meet(X4,X2)),meet(X4,X2)) = join(meet(X4,X2),join(X3,meet(X4,X2))),
inference(substitution,[status(thm)],[c9]) ).
cnf(c98,plain,
meet(X4,join(join(X3,meet(X4,X2)),meet(X4,X2))) = meet(X4,join(meet(X4,X2),join(X3,meet(X4,X2)))),
inference(congruence,[status(thm)],[c97]) ).
cnf(c99,plain,
join(X3,join(X2,X3)) = join(X2,join(X3,X3)),
inference(substitution,[status(thm)],[c45]) ).
cnf(c100,axiom,
join(X2,X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c101,plain,
join(X2,join(X3,X3)) = join(X2,X3),
inference(congruence,[status(thm)],[c100]) ).
cnf(c102,plain,
join(X3,join(X2,X3)) = join(X2,X3),
inference(transitivity,[status(thm)],[c99,c101]) ).
cnf(c103,plain,
join(meet(X4,X2),join(X3,meet(X4,X2))) = join(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c102]) ).
cnf(c104,plain,
meet(X4,join(meet(X4,X2),join(X3,meet(X4,X2)))) = meet(X4,join(X3,meet(X4,X2))),
inference(congruence,[status(thm)],[c103]) ).
cnf(c105,plain,
meet(X4,join(join(X3,meet(X4,X2)),meet(X4,X2))) = meet(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c98,c104]) ).
cnf(c106,plain,
meet(X4,join(join(X3,meet(X4,X2)),meet(X2,X4))) = meet(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c96,c105]) ).
cnf(c107,plain,
meet(X4,join(join(X3,meet(X4,X2)),meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))))) = meet(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c93,c106]) ).
cnf(c108,plain,
meet(X4,join(meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))),join(X3,meet(X4,X2)))) = meet(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c72,c107]) ).
cnf(c109,plain,
meet(X4,join(X3,meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))))) = meet(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c69,c108]) ).
cnf(c110,plain,
meet(meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))),meet(X4,join(X3,meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3))))))) = meet(meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))),meet(X4,join(X3,meet(X4,X2)))),
inference(congruence,[status(thm)],[c109]) ).
cnf(c111,plain,
meet(meet(X4,X3),meet(X4,join(meet(X4,X3),X2))) = meet(meet(X4,join(meet(X4,X3),X2)),meet(X4,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c112,plain,
meet(meet(X4,join(meet(X4,X3),X2)),meet(X4,X3)) = meet(meet(X4,X3),meet(X4,join(meet(X4,X3),X2))),
inference(symmetry,[status(thm)],[c111]) ).
cnf(c113,plain,
meet(meet(X4,X3),meet(X4,join(meet(X4,X3),X2))) = meet(X4,meet(meet(X4,X3),join(meet(X4,X3),X2))),
inference(substitution,[status(thm)],[c30]) ).
cnf(c114,plain,
meet(meet(X4,X3),join(meet(X4,X3),X2)) = meet(X4,X3),
inference(substitution,[status(thm)],[c13]) ).
cnf(c115,plain,
meet(X4,meet(meet(X4,X3),join(meet(X4,X3),X2))) = meet(X4,meet(X4,X3)),
inference(congruence,[status(thm)],[c114]) ).
cnf(c116,plain,
meet(X4,meet(meet(X4,X3),join(meet(X4,X3),X2))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c115,c18]) ).
cnf(c117,plain,
meet(meet(X4,X3),meet(X4,join(meet(X4,X3),X2))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c113,c116]) ).
cnf(c118,plain,
meet(meet(X4,join(meet(X4,X3),X2)),meet(X4,X3)) = meet(X4,X3),
inference(transitivity,[status(thm)],[c112,c117]) ).
cnf(c119,plain,
meet(meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))),meet(X4,join(X3,meet(X4,X2)))) = meet(X4,join(X3,meet(X4,X2))),
inference(substitution,[status(thm)],[c118]) ).
cnf(c120,plain,
meet(meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))),meet(X4,join(X3,meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3))))))) = meet(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c110,c119]) ).
cnf(c121,plain,
meet(meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))),X4) = meet(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c37,c120]) ).
cnf(c122,plain,
meet(X4,meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3))))) = meet(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c22,c121]) ).
cnf(c123,plain,
meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))) = meet(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c20,c122]) ).
cnf(c124,plain,
meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) = meet(a,join(b,meet(a,c))),
inference(substitution,[status(thm)],[c123]) ).
cnf(c125,plain,
meet(a,join(b,meet(a,c))) = meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
inference(symmetry,[status(thm)],[c124]) ).
cnf(c126,plain,
$false,
inference(resolution,[status(thm)],[c1,c125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT138-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n014.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 14:02:31 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 189.63/24.38 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 189.63/24.38
% 189.63/24.38 % SZS status Unsatisfiable
% 189.63/24.38
% 190.41/24.41 % SZS output start CNFRefutation
% See solution above
% 191.24/24.53
% 191.24/24.53 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------