%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT155-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 11:44:27 AM UTC 2026
% Result : Unsatisfiable 193.67s 25.06s
% Output : CNFRefutation 194.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 9
% Syntax : Number of clauses : 173 ( 173 unt; 0 nHn; 5 RR)
% Number of literals : 173 ( 172 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 553 ( 51 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H2) ).
cnf(c2,axiom,
join(X,Y) = join(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
cnf(c3,plain,
join(join(X4,X2),X3) = join(X3,join(X4,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
join(X3,join(X4,X2)) = join(join(X4,X2),X3),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
join(join(X2,Y2),Z) = join(X2,join(Y2,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
cnf(c6,plain,
join(join(X4,X2),X3) = join(X4,join(X2,X3)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c8,plain,
join(X4,join(X2,X3)) = join(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,plain,
join(join(X4,X2),X3) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c6,c8]) ).
cnf(c10,plain,
join(X3,join(X4,X2)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c4,c9]) ).
cnf(c11,plain,
join(X2,join(X4,X3)) = join(X4,join(X2,X3)),
inference(substitution,[status(thm)],[c10]) ).
cnf(c12,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c13,plain,
join(X4,join(X2,X3)) = join(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,plain,
join(X2,join(X4,X3)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c11,c13]) ).
cnf(c15,plain,
join(meet(X4,join(meet(X3,join(X2,X4)),X6)),join(X5,meet(X3,X4))) = join(X5,join(meet(X3,X4),meet(X4,join(meet(X3,join(X2,X4)),X6)))),
inference(substitution,[status(thm)],[c14]) ).
cnf(c16,plain,
join(meet(X5,X6),join(X2,meet(X6,join(meet(X5,join(X4,X6)),X3)))) = join(X2,join(meet(X5,X6),meet(X6,join(meet(X5,join(X4,X6)),X3)))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c17,plain,
join(X2,join(meet(X5,X6),meet(X6,join(meet(X5,join(X4,X6)),X3)))) = join(meet(X5,X6),join(X2,meet(X6,join(meet(X5,join(X4,X6)),X3)))),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c18,plain,
join(meet(X6,X5),join(X4,meet(X5,join(meet(X6,join(X3,X5)),X2)))) = join(X4,join(meet(X6,X5),meet(X5,join(meet(X6,join(X3,X5)),X2)))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c19,plain,
join(meet(X4,join(meet(X5,join(X3,X4)),X2)),meet(X5,X4)) = join(meet(X5,X4),meet(X4,join(meet(X5,join(X3,X4)),X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c20,plain,
join(meet(X5,X4),meet(X4,join(meet(X5,join(X3,X4)),X2))) = join(meet(X4,join(meet(X5,join(X3,X4)),X2)),meet(X5,X4)),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c21,axiom,
meet(X2,Y2) = meet(Y2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
cnf(c22,plain,
meet(meet(X4,X2),X3) = meet(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c21]) ).
cnf(c23,plain,
meet(X3,meet(X4,X2)) = meet(meet(X4,X2),X3),
inference(symmetry,[status(thm)],[c22]) ).
cnf(c24,axiom,
meet(meet(X2,Y2),Z2) = meet(X2,meet(Y2,Z2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
cnf(c25,plain,
meet(meet(X4,X2),X3) = meet(X4,meet(X2,X3)),
inference(substitution,[status(thm)],[c24]) ).
cnf(c26,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c21]) ).
cnf(c27,plain,
meet(X4,meet(X2,X3)) = meet(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,plain,
meet(meet(X4,X2),X3) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c25,c27]) ).
cnf(c29,plain,
meet(X3,meet(X4,X2)) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c23,c28]) ).
cnf(c30,plain,
meet(meet(X5,join(X4,X3)),meet(X3,join(meet(X5,join(X4,X3)),X2))) = meet(X3,meet(meet(X5,join(X4,X3)),join(meet(X5,join(X4,X3)),X2))),
inference(substitution,[status(thm)],[c29]) ).
cnf(c31,axiom,
meet(X2,join(X2,Y2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
cnf(c32,plain,
meet(meet(X5,join(X4,X3)),join(meet(X5,join(X4,X3)),X2)) = meet(X5,join(X4,X3)),
inference(substitution,[status(thm)],[c31]) ).
cnf(c33,plain,
meet(X3,meet(meet(X5,join(X4,X3)),join(meet(X5,join(X4,X3)),X2))) = meet(X3,meet(X5,join(X4,X3))),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,plain,
meet(X4,meet(X3,join(X2,X4))) = meet(X3,meet(X4,join(X2,X4))),
inference(substitution,[status(thm)],[c29]) ).
cnf(c35,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c36,plain,
meet(X3,join(X2,X3)) = meet(X3,join(X3,X2)),
inference(congruence,[status(thm)],[c35]) ).
cnf(c37,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c31]) ).
cnf(c38,plain,
meet(X3,join(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c36,c37]) ).
cnf(c39,plain,
meet(X3,meet(X4,join(X2,X4))) = meet(X3,X4),
inference(congruence,[status(thm)],[c38]) ).
cnf(c40,plain,
meet(X4,meet(X3,join(X2,X4))) = meet(X3,X4),
inference(transitivity,[status(thm)],[c34,c39]) ).
cnf(c41,plain,
meet(X2,meet(X4,join(X3,X2))) = meet(X4,X2),
inference(substitution,[status(thm)],[c40]) ).
cnf(c42,plain,
meet(X3,meet(meet(X5,join(X4,X3)),join(meet(X5,join(X4,X3)),X2))) = meet(X5,X3),
inference(transitivity,[status(thm)],[c33,c41]) ).
cnf(c43,plain,
meet(meet(X5,join(X4,X3)),meet(X3,join(meet(X5,join(X4,X3)),X2))) = meet(X5,X3),
inference(transitivity,[status(thm)],[c30,c42]) ).
cnf(c44,plain,
meet(meet(X5,join(X3,X4)),meet(X4,join(meet(X5,join(X3,X4)),X2))) = meet(X5,X4),
inference(substitution,[status(thm)],[c43]) ).
cnf(c45,plain,
meet(X5,X4) = meet(meet(X5,join(X3,X4)),meet(X4,join(meet(X5,join(X3,X4)),X2))),
inference(symmetry,[status(thm)],[c44]) ).
cnf(c46,plain,
join(meet(X4,join(meet(X5,join(X3,X4)),X2)),meet(X5,X4)) = join(meet(X4,join(meet(X5,join(X3,X4)),X2)),meet(meet(X5,join(X3,X4)),meet(X4,join(meet(X5,join(X3,X4)),X2)))),
inference(congruence,[status(thm)],[c45]) ).
cnf(c47,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c21]) ).
cnf(c48,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c47]) ).
cnf(c49,plain,
join(X3,meet(X2,X3)) = join(X3,meet(X3,X2)),
inference(congruence,[status(thm)],[c48]) ).
cnf(c50,axiom,
join(X2,meet(X2,Y2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
cnf(c51,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c50]) ).
cnf(c52,plain,
join(X3,meet(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c49,c51]) ).
cnf(c53,plain,
join(meet(X4,join(meet(X5,join(X3,X4)),X2)),meet(meet(X5,join(X3,X4)),meet(X4,join(meet(X5,join(X3,X4)),X2)))) = meet(X4,join(meet(X5,join(X3,X4)),X2)),
inference(substitution,[status(thm)],[c52]) ).
cnf(c54,plain,
join(meet(X4,join(meet(X5,join(X3,X4)),X2)),meet(X5,X4)) = meet(X4,join(meet(X5,join(X3,X4)),X2)),
inference(transitivity,[status(thm)],[c46,c53]) ).
cnf(c55,plain,
join(meet(X5,X4),meet(X4,join(meet(X5,join(X3,X4)),X2))) = meet(X4,join(meet(X5,join(X3,X4)),X2)),
inference(transitivity,[status(thm)],[c20,c54]) ).
cnf(c56,plain,
join(X4,join(meet(X6,X5),meet(X5,join(meet(X6,join(X3,X5)),X2)))) = join(X4,meet(X5,join(meet(X6,join(X3,X5)),X2))),
inference(congruence,[status(thm)],[c55]) ).
cnf(c57,plain,
join(meet(X6,X5),join(X4,meet(X5,join(meet(X6,join(X3,X5)),X2)))) = join(X4,meet(X5,join(meet(X6,join(X3,X5)),X2))),
inference(transitivity,[status(thm)],[c18,c56]) ).
cnf(c58,plain,
join(meet(X5,X6),join(X2,meet(X6,join(meet(X5,join(X4,X6)),X3)))) = join(X2,meet(X6,join(meet(X5,join(X4,X6)),X3))),
inference(substitution,[status(thm)],[c57]) ).
cnf(c59,plain,
join(X2,join(meet(X5,X6),meet(X6,join(meet(X5,join(X4,X6)),X3)))) = join(X2,meet(X6,join(meet(X5,join(X4,X6)),X3))),
inference(transitivity,[status(thm)],[c17,c58]) ).
cnf(c60,plain,
join(meet(X6,join(meet(X5,join(X4,X6)),X3)),join(X2,meet(X5,X6))) = join(X2,meet(X6,join(meet(X5,join(X4,X6)),X3))),
inference(transitivity,[status(thm)],[c15,c59]) ).
cnf(c61,plain,
join(meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2))),join(X5,meet(X3,X4))) = join(X5,meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2)))),
inference(substitution,[status(thm)],[c60]) ).
cnf(c62,plain,
join(X5,meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2)))) = join(meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2))),join(X5,meet(X3,X4))),
inference(symmetry,[status(thm)],[c61]) ).
cnf(c63,plain,
join(meet(X4,join(meet(X5,join(X3,X4)),X2)),join(X6,meet(X5,X4))) = join(X6,meet(X4,join(meet(X5,join(X3,X4)),X2))),
inference(substitution,[status(thm)],[c60]) ).
cnf(c64,plain,
join(X6,meet(X4,join(meet(X5,join(X3,X4)),X2))) = join(meet(X4,join(meet(X5,join(X3,X4)),X2)),join(X6,meet(X5,X4))),
inference(symmetry,[status(thm)],[c63]) ).
cnf(c65,plain,
meet(join(X6,meet(X5,X4)),join(X6,meet(X4,join(meet(X5,join(X3,X4)),X2)))) = meet(join(X6,meet(X5,X4)),join(meet(X4,join(meet(X5,join(X3,X4)),X2)),join(X6,meet(X5,X4)))),
inference(congruence,[status(thm)],[c64]) ).
cnf(c66,plain,
meet(join(X6,meet(X5,X4)),join(meet(X4,join(meet(X5,join(X3,X4)),X2)),join(X6,meet(X5,X4)))) = join(X6,meet(X5,X4)),
inference(substitution,[status(thm)],[c38]) ).
cnf(c67,plain,
meet(join(X6,meet(X5,X4)),join(X6,meet(X4,join(meet(X5,join(X3,X4)),X2)))) = join(X6,meet(X5,X4)),
inference(transitivity,[status(thm)],[c65,c66]) ).
cnf(c68,plain,
meet(join(X5,meet(X3,X4)),join(X5,meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2))))) = join(X5,meet(X3,X4)),
inference(substitution,[status(thm)],[c67]) ).
cnf(c69,plain,
join(X5,meet(X3,X4)) = meet(join(X5,meet(X3,X4)),join(X5,meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2))))),
inference(symmetry,[status(thm)],[c68]) ).
cnf(c70,plain,
join(meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2))),join(X5,meet(X3,X4))) = join(meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2))),meet(join(X5,meet(X3,X4)),join(X5,meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2)))))),
inference(congruence,[status(thm)],[c69]) ).
cnf(c71,plain,
meet(join(X3,meet(X4,X5)),meet(X5,join(meet(X4,join(X3,X5)),meet(X3,X2)))) = meet(meet(X5,join(meet(X4,join(X3,X5)),meet(X3,X2))),join(X3,meet(X4,X5))),
inference(substitution,[status(thm)],[c21]) ).
cnf(c72,plain,
meet(meet(X5,join(meet(X4,join(X3,X5)),meet(X3,X2))),join(X3,meet(X4,X5))) = meet(join(X3,meet(X4,X5)),meet(X5,join(meet(X4,join(X3,X5)),meet(X3,X2)))),
inference(symmetry,[status(thm)],[c71]) ).
cnf(c73,plain,
meet(X2,meet(X4,X3)) = meet(X4,meet(X2,X3)),
inference(substitution,[status(thm)],[c29]) ).
cnf(c74,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c21]) ).
cnf(c75,plain,
meet(X4,meet(X2,X3)) = meet(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c74]) ).
cnf(c76,plain,
meet(X2,meet(X4,X3)) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c73,c75]) ).
cnf(c77,plain,
meet(join(X3,meet(X4,X5)),meet(X5,join(meet(X4,join(X3,X5)),meet(X3,X2)))) = meet(X5,meet(join(meet(X4,join(X3,X5)),meet(X3,X2)),join(X3,meet(X4,X5)))),
inference(substitution,[status(thm)],[c76]) ).
cnf(c78,plain,
meet(X5,meet(join(meet(X4,join(X3,X5)),meet(X3,X2)),join(X3,meet(X4,X5)))) = meet(join(meet(X4,join(X3,X5)),meet(X3,X2)),meet(X5,join(X3,meet(X4,X5)))),
inference(substitution,[status(thm)],[c29]) ).
cnf(c79,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c80,plain,
meet(X2,join(X3,X4)) = meet(X2,join(X4,X3)),
inference(congruence,[status(thm)],[c79]) ).
cnf(c81,plain,
join(X3,meet(X2,join(X3,X4))) = join(X3,meet(X2,join(X4,X3))),
inference(congruence,[status(thm)],[c80]) ).
cnf(c82,plain,
meet(X4,join(X3,meet(X2,join(X3,X4)))) = meet(X4,join(X3,meet(X2,join(X4,X3)))),
inference(congruence,[status(thm)],[c81]) ).
cnf(c83,axiom,
meet(X2,join(Y2,meet(Z2,join(X2,U)))) = meet(X2,join(Y2,join(meet(X2,Z2),meet(Z2,join(Y2,U))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H49) ).
cnf(c84,plain,
meet(X4,join(X3,meet(X2,join(X4,X3)))) = meet(X4,join(X3,join(meet(X4,X2),meet(X2,join(X3,X3))))),
inference(substitution,[status(thm)],[c83]) ).
cnf(c85,axiom,
join(X2,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c86,plain,
meet(X2,join(X3,X3)) = meet(X2,X3),
inference(congruence,[status(thm)],[c85]) ).
cnf(c87,plain,
join(meet(X4,X2),meet(X2,join(X3,X3))) = join(meet(X4,X2),meet(X2,X3)),
inference(congruence,[status(thm)],[c86]) ).
cnf(c88,plain,
join(X3,join(meet(X4,X2),meet(X2,join(X3,X3)))) = join(X3,join(meet(X4,X2),meet(X2,X3))),
inference(congruence,[status(thm)],[c87]) ).
cnf(c89,plain,
meet(X4,join(X3,join(meet(X4,X2),meet(X2,join(X3,X3))))) = meet(X4,join(X3,join(meet(X4,X2),meet(X2,X3)))),
inference(congruence,[status(thm)],[c88]) ).
cnf(c90,plain,
join(X4,join(X3,meet(X2,X4))) = join(X3,join(X4,meet(X2,X4))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c91,plain,
join(X3,join(X4,meet(X2,X4))) = join(X3,X4),
inference(congruence,[status(thm)],[c52]) ).
cnf(c92,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c93,plain,
join(X3,join(X4,meet(X2,X4))) = join(X4,X3),
inference(transitivity,[status(thm)],[c91,c92]) ).
cnf(c94,plain,
join(X4,join(X3,meet(X2,X4))) = join(X4,X3),
inference(transitivity,[status(thm)],[c90,c93]) ).
cnf(c95,plain,
join(X3,join(meet(X4,X2),meet(X2,X3))) = join(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c94]) ).
cnf(c96,plain,
meet(X4,join(X3,join(meet(X4,X2),meet(X2,X3)))) = meet(X4,join(X3,meet(X4,X2))),
inference(congruence,[status(thm)],[c95]) ).
cnf(c97,plain,
meet(X4,join(X3,join(meet(X4,X2),meet(X2,join(X3,X3))))) = meet(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c89,c96]) ).
cnf(c98,plain,
meet(X4,join(X3,meet(X2,join(X4,X3)))) = meet(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c84,c97]) ).
cnf(c99,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c21]) ).
cnf(c100,plain,
join(X3,meet(X4,X2)) = join(X3,meet(X2,X4)),
inference(congruence,[status(thm)],[c99]) ).
cnf(c101,plain,
meet(X4,join(X3,meet(X4,X2))) = meet(X4,join(X3,meet(X2,X4))),
inference(congruence,[status(thm)],[c100]) ).
cnf(c102,plain,
meet(X4,join(X3,meet(X2,join(X4,X3)))) = meet(X4,join(X3,meet(X2,X4))),
inference(transitivity,[status(thm)],[c98,c101]) ).
cnf(c103,plain,
meet(X4,join(X3,meet(X2,join(X3,X4)))) = meet(X4,join(X3,meet(X2,X4))),
inference(transitivity,[status(thm)],[c82,c102]) ).
cnf(c104,plain,
meet(X4,join(X2,meet(X3,join(X2,X4)))) = meet(X4,join(X2,meet(X3,X4))),
inference(substitution,[status(thm)],[c103]) ).
cnf(c105,plain,
meet(X4,join(X2,meet(X3,X4))) = meet(X4,join(X2,meet(X3,join(X2,X4)))),
inference(symmetry,[status(thm)],[c104]) ).
cnf(c106,plain,
meet(join(meet(X4,join(X3,X5)),meet(X3,X2)),meet(X5,join(X3,meet(X4,X5)))) = meet(join(meet(X4,join(X3,X5)),meet(X3,X2)),meet(X5,join(X3,meet(X4,join(X3,X5))))),
inference(congruence,[status(thm)],[c105]) ).
cnf(c107,plain,
join(join(X5,meet(X4,X3)),join(X4,meet(X2,join(X5,meet(X4,X3))))) = join(X4,join(meet(X2,join(X5,meet(X4,X3))),join(X5,meet(X4,X3)))),
inference(substitution,[status(thm)],[c14]) ).
cnf(c108,plain,
join(X2,meet(X3,X2)) = join(meet(X3,X2),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c109,plain,
join(meet(X3,X2),X2) = join(X2,meet(X3,X2)),
inference(symmetry,[status(thm)],[c108]) ).
cnf(c110,plain,
join(X2,meet(X3,X2)) = X2,
inference(substitution,[status(thm)],[c52]) ).
cnf(c111,plain,
join(meet(X3,X2),X2) = X2,
inference(transitivity,[status(thm)],[c109,c110]) ).
cnf(c112,plain,
join(meet(X2,join(X5,meet(X4,X3))),join(X5,meet(X4,X3))) = join(X5,meet(X4,X3)),
inference(substitution,[status(thm)],[c111]) ).
cnf(c113,plain,
join(X4,join(meet(X2,join(X5,meet(X4,X3))),join(X5,meet(X4,X3)))) = join(X4,join(X5,meet(X4,X3))),
inference(congruence,[status(thm)],[c112]) ).
cnf(c114,plain,
join(X4,join(X3,meet(X4,X2))) = join(X3,join(X4,meet(X4,X2))),
inference(substitution,[status(thm)],[c10]) ).
cnf(c115,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c50]) ).
cnf(c116,plain,
join(X3,join(X4,meet(X4,X2))) = join(X3,X4),
inference(congruence,[status(thm)],[c115]) ).
cnf(c117,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c118,plain,
join(X3,join(X4,meet(X4,X2))) = join(X4,X3),
inference(transitivity,[status(thm)],[c116,c117]) ).
cnf(c119,plain,
join(X4,join(X3,meet(X4,X2))) = join(X4,X3),
inference(transitivity,[status(thm)],[c114,c118]) ).
cnf(c120,plain,
join(X3,join(X4,meet(X3,X2))) = join(X3,X4),
inference(substitution,[status(thm)],[c119]) ).
cnf(c121,plain,
join(X4,join(meet(X2,join(X5,meet(X4,X3))),join(X5,meet(X4,X3)))) = join(X4,X5),
inference(transitivity,[status(thm)],[c113,c120]) ).
cnf(c122,plain,
join(join(X5,meet(X4,X3)),join(X4,meet(X2,join(X5,meet(X4,X3))))) = join(X4,X5),
inference(transitivity,[status(thm)],[c107,c121]) ).
cnf(c123,plain,
join(X4,X5) = join(join(X5,meet(X4,X3)),join(X4,meet(X2,join(X5,meet(X4,X3))))),
inference(symmetry,[status(thm)],[c122]) ).
cnf(c124,plain,
meet(X3,join(X5,X6)) = meet(X3,join(join(X6,meet(X5,X4)),join(X5,meet(X2,join(X6,meet(X5,X4)))))),
inference(congruence,[status(thm)],[c123]) ).
cnf(c125,plain,
meet(join(X6,meet(X5,X4)),meet(X3,join(X5,X6))) = meet(join(X6,meet(X5,X4)),meet(X3,join(join(X6,meet(X5,X4)),join(X5,meet(X2,join(X6,meet(X5,X4))))))),
inference(congruence,[status(thm)],[c124]) ).
cnf(c126,plain,
meet(join(X4,X2),X3) = meet(X3,join(X4,X2)),
inference(substitution,[status(thm)],[c21]) ).
cnf(c127,plain,
meet(X3,join(X4,X2)) = meet(join(X4,X2),X3),
inference(symmetry,[status(thm)],[c126]) ).
cnf(c128,plain,
meet(X4,meet(X3,join(X4,X2))) = meet(X4,meet(join(X4,X2),X3)),
inference(congruence,[status(thm)],[c127]) ).
cnf(c129,plain,
meet(meet(X4,join(X4,X2)),X3) = meet(X4,meet(join(X4,X2),X3)),
inference(substitution,[status(thm)],[c24]) ).
cnf(c130,plain,
meet(X4,meet(join(X4,X2),X3)) = meet(meet(X4,join(X4,X2)),X3),
inference(symmetry,[status(thm)],[c129]) ).
cnf(c131,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c31]) ).
cnf(c132,plain,
meet(meet(X4,join(X4,X2)),X3) = meet(X4,X3),
inference(congruence,[status(thm)],[c131]) ).
cnf(c133,plain,
meet(X4,meet(join(X4,X2),X3)) = meet(X4,X3),
inference(transitivity,[status(thm)],[c130,c132]) ).
cnf(c134,plain,
meet(X4,meet(X3,join(X4,X2))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c128,c133]) ).
cnf(c135,plain,
meet(join(X6,meet(X5,X4)),meet(X3,join(join(X6,meet(X5,X4)),join(X5,meet(X2,join(X6,meet(X5,X4))))))) = meet(join(X6,meet(X5,X4)),X3),
inference(substitution,[status(thm)],[c134]) ).
cnf(c136,plain,
meet(join(X5,meet(X4,X3)),X2) = meet(X2,join(X5,meet(X4,X3))),
inference(substitution,[status(thm)],[c21]) ).
cnf(c137,plain,
meet(join(X6,meet(X5,X4)),meet(X3,join(join(X6,meet(X5,X4)),join(X5,meet(X2,join(X6,meet(X5,X4))))))) = meet(X3,join(X6,meet(X5,X4))),
inference(transitivity,[status(thm)],[c135,c136]) ).
cnf(c138,plain,
meet(join(X5,meet(X4,X3)),meet(X2,join(X4,X5))) = meet(X2,join(X5,meet(X4,X3))),
inference(transitivity,[status(thm)],[c125,c137]) ).
cnf(c139,plain,
meet(join(meet(X4,join(X3,X5)),meet(X3,X2)),meet(X5,join(X3,meet(X4,join(X3,X5))))) = meet(X5,join(meet(X4,join(X3,X5)),meet(X3,X2))),
inference(substitution,[status(thm)],[c138]) ).
cnf(c140,plain,
meet(join(meet(X4,join(X3,X5)),meet(X3,X2)),meet(X5,join(X3,meet(X4,X5)))) = meet(X5,join(meet(X4,join(X3,X5)),meet(X3,X2))),
inference(transitivity,[status(thm)],[c106,c139]) ).
cnf(c141,plain,
meet(X5,meet(join(meet(X4,join(X3,X5)),meet(X3,X2)),join(X3,meet(X4,X5)))) = meet(X5,join(meet(X4,join(X3,X5)),meet(X3,X2))),
inference(transitivity,[status(thm)],[c78,c140]) ).
cnf(c142,plain,
meet(join(X3,meet(X4,X5)),meet(X5,join(meet(X4,join(X3,X5)),meet(X3,X2)))) = meet(X5,join(meet(X4,join(X3,X5)),meet(X3,X2))),
inference(transitivity,[status(thm)],[c77,c141]) ).
cnf(c143,plain,
meet(meet(X5,join(meet(X4,join(X3,X5)),meet(X3,X2))),join(X3,meet(X4,X5))) = meet(X5,join(meet(X4,join(X3,X5)),meet(X3,X2))),
inference(transitivity,[status(thm)],[c72,c142]) ).
cnf(c144,plain,
meet(meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2))),join(X5,meet(X3,X4))) = meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2))),
inference(substitution,[status(thm)],[c143]) ).
cnf(c145,plain,
meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2))) = meet(meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2))),join(X5,meet(X3,X4))),
inference(symmetry,[status(thm)],[c144]) ).
cnf(c146,plain,
join(meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2))),meet(join(X5,meet(X3,X4)),join(X5,meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2)))))) = join(meet(meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2))),join(X5,meet(X3,X4))),meet(join(X5,meet(X3,X4)),join(X5,meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2)))))),
inference(congruence,[status(thm)],[c145]) ).
cnf(c147,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c21]) ).
cnf(c148,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c147]) ).
cnf(c149,plain,
join(meet(X4,X3),meet(X3,join(X2,X4))) = join(meet(X3,X4),meet(X3,join(X2,X4))),
inference(congruence,[status(thm)],[c148]) ).
cnf(c150,plain,
join(meet(X4,join(X2,X3)),meet(X4,X3)) = join(meet(X4,X3),meet(X4,join(X2,X3))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c151,plain,
join(meet(X4,X3),meet(X4,join(X2,X3))) = join(meet(X4,join(X2,X3)),meet(X4,X3)),
inference(symmetry,[status(thm)],[c150]) ).
cnf(c152,plain,
X3 = meet(X3,join(X2,X3)),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c153,plain,
meet(X4,X3) = meet(X4,meet(X3,join(X2,X3))),
inference(congruence,[status(thm)],[c152]) ).
cnf(c154,plain,
join(meet(X4,join(X2,X3)),meet(X4,X3)) = join(meet(X4,join(X2,X3)),meet(X4,meet(X3,join(X2,X3)))),
inference(congruence,[status(thm)],[c153]) ).
cnf(c155,plain,
meet(X4,meet(X2,X3)) = meet(X2,meet(X4,X3)),
inference(substitution,[status(thm)],[c29]) ).
cnf(c156,plain,
join(meet(X4,X3),meet(X4,meet(X2,X3))) = join(meet(X4,X3),meet(X2,meet(X4,X3))),
inference(congruence,[status(thm)],[c155]) ).
cnf(c157,plain,
join(meet(X4,X3),meet(X2,meet(X4,X3))) = meet(X4,X3),
inference(substitution,[status(thm)],[c52]) ).
cnf(c158,plain,
join(meet(X4,X3),meet(X4,meet(X2,X3))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c156,c157]) ).
cnf(c159,plain,
join(meet(X4,join(X2,X3)),meet(X4,meet(X3,join(X2,X3)))) = meet(X4,join(X2,X3)),
inference(substitution,[status(thm)],[c158]) ).
cnf(c160,plain,
join(meet(X4,join(X2,X3)),meet(X4,X3)) = meet(X4,join(X2,X3)),
inference(transitivity,[status(thm)],[c154,c159]) ).
cnf(c161,plain,
join(meet(X4,X3),meet(X4,join(X2,X3))) = meet(X4,join(X2,X3)),
inference(transitivity,[status(thm)],[c151,c160]) ).
cnf(c162,plain,
join(meet(X3,X4),meet(X3,join(X2,X4))) = meet(X3,join(X2,X4)),
inference(substitution,[status(thm)],[c161]) ).
cnf(c163,plain,
join(meet(X4,X3),meet(X3,join(X2,X4))) = meet(X3,join(X2,X4)),
inference(transitivity,[status(thm)],[c149,c162]) ).
cnf(c164,plain,
join(meet(meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2))),join(X5,meet(X3,X4))),meet(join(X5,meet(X3,X4)),join(X5,meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2)))))) = meet(join(X5,meet(X3,X4)),join(X5,meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2))))),
inference(substitution,[status(thm)],[c163]) ).
cnf(c165,plain,
meet(join(X5,meet(X3,X4)),join(X5,meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2))))) = join(X5,meet(X3,X4)),
inference(substitution,[status(thm)],[c67]) ).
cnf(c166,plain,
join(meet(meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2))),join(X5,meet(X3,X4))),meet(join(X5,meet(X3,X4)),join(X5,meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2)))))) = join(X5,meet(X3,X4)),
inference(transitivity,[status(thm)],[c164,c165]) ).
cnf(c167,plain,
join(meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2))),meet(join(X5,meet(X3,X4)),join(X5,meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2)))))) = join(X5,meet(X3,X4)),
inference(transitivity,[status(thm)],[c146,c166]) ).
cnf(c168,plain,
join(meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2))),join(X5,meet(X3,X4))) = join(X5,meet(X3,X4)),
inference(transitivity,[status(thm)],[c70,c167]) ).
cnf(c169,plain,
join(X5,meet(X4,join(meet(X3,join(X5,X4)),meet(X5,X2)))) = join(X5,meet(X3,X4)),
inference(transitivity,[status(thm)],[c62,c168]) ).
cnf(c170,plain,
join(b,meet(c,join(meet(a,join(b,c)),meet(b,c)))) = join(b,meet(a,c)),
inference(substitution,[status(thm)],[c169]) ).
cnf(c171,plain,
join(b,meet(a,c)) = join(b,meet(c,join(meet(a,join(b,c)),meet(b,c)))),
inference(symmetry,[status(thm)],[c170]) ).
cnf(c172,plain,
meet(a,join(b,meet(a,c))) = meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c))))),
inference(congruence,[status(thm)],[c171]) ).
cnf(c173,plain,
$false,
inference(resolution,[status(thm)],[c1,c172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT155-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 % Computer : n015.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Sun Sep 27 14:06:30 UTC 2026
% 0.20/0.48 % CPUTime :
% 0.20/0.48 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 193.67/25.06 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
% 193.67/25.06
% 193.67/25.06 % SZS status Unsatisfiable
% 193.67/25.06
% 193.67/25.07 % SZS output start CNFRefutation
% See solution above
% 194.68/25.17
% 194.68/25.17 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------