%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT017-1 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 11:42:50 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.55s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 10
% Syntax : Number of clauses : 166 ( 166 unt; 0 nHn; 8 RR)
% Number of literals : 166 ( 165 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 413 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
join(a,join(meet(complement(a),meet(join(a,complement(b)),join(a,b))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) != n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_e2) ).
cnf(c2,axiom,
complement(complement(X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_involution) ).
cnf(c3,plain,
complement(complement(join(X5,join(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2))),meet(complement(X4),join(meet(complement(X4),X3),meet(complement(X4),complement(X2)))))))) = join(X5,join(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2))),meet(complement(X4),join(meet(complement(X4),X3),meet(complement(X4),complement(X2)))))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
join(X5,join(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2))),meet(complement(X4),join(meet(complement(X4),X3),meet(complement(X4),complement(X2)))))) = complement(complement(join(X5,join(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2))),meet(complement(X4),join(meet(complement(X4),X3),meet(complement(X4),complement(X2)))))))),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
join(X2,Y) = join(Y,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
cnf(c6,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
join(X3,X2) = join(X2,X3),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
complement(join(X3,X2)) = complement(join(X2,X3)),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,plain,
X2 = complement(complement(X2)),
inference(symmetry,[status(thm)],[c2]) ).
cnf(c10,plain,
join(X3,X2) = join(X3,complement(complement(X2))),
inference(congruence,[status(thm)],[c9]) ).
cnf(c11,plain,
complement(join(X3,X2)) = complement(join(X3,complement(complement(X2)))),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,plain,
X2 = complement(complement(X2)),
inference(symmetry,[status(thm)],[c2]) ).
cnf(c13,plain,
join(X3,complement(X2)) = join(complement(complement(X3)),complement(X2)),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,plain,
complement(join(X3,complement(X2))) = complement(join(complement(complement(X3)),complement(X2))),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,axiom,
meet(X2,Y2) = complement(join(complement(X2),complement(Y2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_complement) ).
cnf(c16,plain,
meet(complement(X3),X2) = complement(join(complement(complement(X3)),complement(X2))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c17,plain,
complement(join(complement(complement(X3)),complement(X2))) = meet(complement(X3),X2),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c18,axiom,
meet(X2,Y2) = meet(Y2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
cnf(c19,plain,
meet(complement(X3),X2) = meet(X2,complement(X3)),
inference(substitution,[status(thm)],[c18]) ).
cnf(c20,plain,
complement(join(complement(complement(X3)),complement(X2))) = meet(X2,complement(X3)),
inference(transitivity,[status(thm)],[c17,c19]) ).
cnf(c21,plain,
complement(join(X3,complement(X2))) = meet(X2,complement(X3)),
inference(transitivity,[status(thm)],[c14,c20]) ).
cnf(c22,plain,
complement(join(X3,complement(complement(X2)))) = meet(complement(X2),complement(X3)),
inference(substitution,[status(thm)],[c21]) ).
cnf(c23,plain,
complement(join(X3,X2)) = meet(complement(X2),complement(X3)),
inference(transitivity,[status(thm)],[c11,c22]) ).
cnf(c24,plain,
complement(join(X2,X3)) = meet(complement(X3),complement(X2)),
inference(substitution,[status(thm)],[c23]) ).
cnf(c25,plain,
complement(join(X3,X2)) = meet(complement(X3),complement(X2)),
inference(transitivity,[status(thm)],[c8,c24]) ).
cnf(c26,plain,
complement(join(X5,join(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2))),meet(complement(X4),join(meet(complement(X4),X3),meet(complement(X4),complement(X2))))))) = meet(complement(X5),complement(join(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2))),meet(complement(X4),join(meet(complement(X4),X3),meet(complement(X4),complement(X2))))))),
inference(substitution,[status(thm)],[c25]) ).
cnf(c27,plain,
join(X2,meet(complement(X5),join(meet(complement(X5),X4),meet(complement(X5),complement(X3))))) = join(meet(complement(X5),join(meet(complement(X5),X4),meet(complement(X5),complement(X3)))),X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c28,plain,
complement(join(X2,meet(complement(X5),join(meet(complement(X5),X4),meet(complement(X5),complement(X3)))))) = complement(join(meet(complement(X5),join(meet(complement(X5),X4),meet(complement(X5),complement(X3)))),X2)),
inference(congruence,[status(thm)],[c27]) ).
cnf(c29,plain,
complement(join(meet(complement(X5),join(meet(complement(X5),X4),meet(complement(X5),complement(X3)))),X2)) = meet(complement(meet(complement(X5),join(meet(complement(X5),X4),meet(complement(X5),complement(X3))))),complement(X2)),
inference(substitution,[status(thm)],[c25]) ).
cnf(c30,plain,
meet(complement(X3),X2) = meet(X2,complement(X3)),
inference(substitution,[status(thm)],[c18]) ).
cnf(c31,plain,
complement(meet(complement(X3),X2)) = complement(meet(X2,complement(X3))),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c18]) ).
cnf(c33,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c34,plain,
complement(meet(X3,X2)) = complement(meet(X2,X3)),
inference(congruence,[status(thm)],[c33]) ).
cnf(c35,plain,
meet(X2,X3) = complement(join(complement(X2),complement(X3))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c36,plain,
complement(meet(X2,X3)) = complement(complement(join(complement(X2),complement(X3)))),
inference(congruence,[status(thm)],[c35]) ).
cnf(c37,plain,
complement(complement(join(complement(X2),complement(X3)))) = join(complement(X2),complement(X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c38,plain,
join(complement(X2),complement(X3)) = join(complement(X3),complement(X2)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c39,plain,
complement(complement(join(complement(X2),complement(X3)))) = join(complement(X3),complement(X2)),
inference(transitivity,[status(thm)],[c37,c38]) ).
cnf(c40,plain,
complement(meet(X2,X3)) = join(complement(X3),complement(X2)),
inference(transitivity,[status(thm)],[c36,c39]) ).
cnf(c41,plain,
complement(meet(X3,X2)) = join(complement(X3),complement(X2)),
inference(transitivity,[status(thm)],[c34,c40]) ).
cnf(c42,plain,
complement(meet(X2,complement(X3))) = join(complement(X2),complement(complement(X3))),
inference(substitution,[status(thm)],[c41]) ).
cnf(c43,plain,
join(complement(X2),complement(complement(X3))) = join(complement(X2),X3),
inference(congruence,[status(thm)],[c2]) ).
cnf(c44,plain,
join(complement(X2),X3) = join(X3,complement(X2)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c45,plain,
join(complement(X2),complement(complement(X3))) = join(X3,complement(X2)),
inference(transitivity,[status(thm)],[c43,c44]) ).
cnf(c46,plain,
complement(meet(X2,complement(X3))) = join(X3,complement(X2)),
inference(transitivity,[status(thm)],[c42,c45]) ).
cnf(c47,plain,
complement(meet(complement(X3),X2)) = join(X3,complement(X2)),
inference(transitivity,[status(thm)],[c31,c46]) ).
cnf(c48,plain,
complement(meet(complement(X5),join(meet(complement(X4),X3),meet(complement(X2),complement(X6))))) = join(X5,complement(join(meet(complement(X4),X3),meet(complement(X2),complement(X6))))),
inference(substitution,[status(thm)],[c47]) ).
cnf(c49,plain,
join(meet(complement(X5),X4),meet(complement(X3),complement(X2))) = join(meet(complement(X3),complement(X2)),meet(complement(X5),X4)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c50,plain,
complement(join(meet(complement(X5),X4),meet(complement(X3),complement(X2)))) = complement(join(meet(complement(X3),complement(X2)),meet(complement(X5),X4))),
inference(congruence,[status(thm)],[c49]) ).
cnf(c51,plain,
join(X3,complement(X2)) = complement(meet(complement(X3),X2)),
inference(symmetry,[status(thm)],[c47]) ).
cnf(c52,plain,
complement(join(X3,complement(X2))) = complement(complement(meet(complement(X3),X2))),
inference(congruence,[status(thm)],[c51]) ).
cnf(c53,plain,
complement(complement(meet(complement(X3),X2))) = meet(complement(X3),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c54,plain,
complement(join(X3,complement(X2))) = meet(complement(X3),X2),
inference(transitivity,[status(thm)],[c52,c53]) ).
cnf(c55,plain,
meet(complement(X3),X2) = complement(join(X3,complement(X2))),
inference(symmetry,[status(thm)],[c54]) ).
cnf(c56,plain,
join(X4,meet(complement(X3),X2)) = join(X4,complement(join(X3,complement(X2)))),
inference(congruence,[status(thm)],[c55]) ).
cnf(c57,plain,
complement(join(X4,meet(complement(X3),X2))) = complement(join(X4,complement(join(X3,complement(X2))))),
inference(congruence,[status(thm)],[c56]) ).
cnf(c58,plain,
complement(join(X4,complement(join(X3,complement(X2))))) = meet(join(X3,complement(X2)),complement(X4)),
inference(substitution,[status(thm)],[c21]) ).
cnf(c59,plain,
complement(join(X4,meet(complement(X3),X2))) = meet(join(X3,complement(X2)),complement(X4)),
inference(transitivity,[status(thm)],[c57,c58]) ).
cnf(c60,plain,
complement(join(meet(complement(X3),complement(X2)),meet(complement(X5),X4))) = meet(join(X5,complement(X4)),complement(meet(complement(X3),complement(X2)))),
inference(substitution,[status(thm)],[c59]) ).
cnf(c61,plain,
complement(meet(complement(X3),complement(X2))) = join(complement(complement(X3)),complement(complement(X2))),
inference(substitution,[status(thm)],[c41]) ).
cnf(c62,plain,
join(complement(complement(X3)),complement(complement(X2))) = join(X3,complement(complement(X2))),
inference(congruence,[status(thm)],[c2]) ).
cnf(c63,plain,
join(X3,complement(complement(X2))) = join(X3,X2),
inference(congruence,[status(thm)],[c2]) ).
cnf(c64,plain,
join(complement(complement(X3)),complement(complement(X2))) = join(X3,X2),
inference(transitivity,[status(thm)],[c62,c63]) ).
cnf(c65,plain,
complement(meet(complement(X3),complement(X2))) = join(X3,X2),
inference(transitivity,[status(thm)],[c61,c64]) ).
cnf(c66,plain,
meet(join(X5,complement(X4)),complement(meet(complement(X3),complement(X2)))) = meet(join(X5,complement(X4)),join(X3,X2)),
inference(congruence,[status(thm)],[c65]) ).
cnf(c67,plain,
complement(join(meet(complement(X3),complement(X2)),meet(complement(X5),X4))) = meet(join(X5,complement(X4)),join(X3,X2)),
inference(transitivity,[status(thm)],[c60,c66]) ).
cnf(c68,plain,
complement(join(meet(complement(X5),X4),meet(complement(X3),complement(X2)))) = meet(join(X5,complement(X4)),join(X3,X2)),
inference(transitivity,[status(thm)],[c50,c67]) ).
cnf(c69,plain,
join(X6,complement(join(meet(complement(X5),X4),meet(complement(X3),complement(X2))))) = join(X6,meet(join(X5,complement(X4)),join(X3,X2))),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,plain,
complement(meet(complement(X6),join(meet(complement(X5),X4),meet(complement(X3),complement(X2))))) = join(X6,meet(join(X5,complement(X4)),join(X3,X2))),
inference(transitivity,[status(thm)],[c48,c69]) ).
cnf(c71,plain,
complement(meet(complement(X4),join(meet(complement(X4),X3),meet(complement(X4),complement(X2))))) = join(X4,meet(join(X4,complement(X3)),join(X4,X2))),
inference(substitution,[status(thm)],[c70]) ).
cnf(c72,plain,
join(meet(join(X4,complement(X3)),join(X4,X2)),X4) = join(X4,meet(join(X4,complement(X3)),join(X4,X2))),
inference(substitution,[status(thm)],[c5]) ).
cnf(c73,plain,
join(X4,meet(join(X4,complement(X3)),join(X4,X2))) = join(meet(join(X4,complement(X3)),join(X4,X2)),X4),
inference(symmetry,[status(thm)],[c72]) ).
cnf(c74,plain,
complement(join(meet(complement(X4),X3),meet(complement(X4),complement(X2)))) = meet(join(X4,complement(X3)),join(X4,X2)),
inference(substitution,[status(thm)],[c68]) ).
cnf(c75,plain,
meet(join(X4,complement(X3)),join(X4,X2)) = complement(join(meet(complement(X4),X3),meet(complement(X4),complement(X2)))),
inference(symmetry,[status(thm)],[c74]) ).
cnf(c76,plain,
meet(X4,meet(join(X4,complement(X3)),join(X4,X2))) = meet(X4,complement(join(meet(complement(X4),X3),meet(complement(X4),complement(X2))))),
inference(congruence,[status(thm)],[c75]) ).
cnf(c77,plain,
complement(join(join(meet(complement(X4),X3),meet(complement(X4),complement(X2))),complement(X4))) = meet(X4,complement(join(meet(complement(X4),X3),meet(complement(X4),complement(X2))))),
inference(substitution,[status(thm)],[c21]) ).
cnf(c78,plain,
meet(X4,complement(join(meet(complement(X4),X3),meet(complement(X4),complement(X2))))) = complement(join(join(meet(complement(X4),X3),meet(complement(X4),complement(X2))),complement(X4))),
inference(symmetry,[status(thm)],[c77]) ).
cnf(c79,plain,
join(X4,join(meet(X4,X3),meet(X4,X2))) = join(join(meet(X4,X3),meet(X4,X2)),X4),
inference(substitution,[status(thm)],[c5]) ).
cnf(c80,plain,
join(join(meet(X4,X3),meet(X4,X2)),X4) = join(X4,join(meet(X4,X3),meet(X4,X2))),
inference(symmetry,[status(thm)],[c79]) ).
cnf(c81,plain,
join(join(X2,X4),X3) = join(X3,join(X2,X4)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c82,plain,
join(X3,join(X2,X4)) = join(join(X2,X4),X3),
inference(symmetry,[status(thm)],[c81]) ).
cnf(c83,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c84,plain,
join(join(X2,X4),X3) = join(join(X4,X2),X3),
inference(congruence,[status(thm)],[c83]) ).
cnf(c85,axiom,
join(join(X2,Y2),Z) = join(X2,join(Y2,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
cnf(c86,plain,
join(join(X4,X2),X3) = join(X4,join(X2,X3)),
inference(substitution,[status(thm)],[c85]) ).
cnf(c87,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c5]) ).
cnf(c88,plain,
join(X4,join(X2,X3)) = join(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c87]) ).
cnf(c89,plain,
join(join(X4,X2),X3) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c86,c88]) ).
cnf(c90,plain,
join(join(X2,X4),X3) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c84,c89]) ).
cnf(c91,plain,
join(X3,join(X2,X4)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c82,c90]) ).
cnf(c92,plain,
join(X4,join(meet(X4,X3),meet(X4,X2))) = join(meet(X4,X2),join(X4,meet(X4,X3))),
inference(substitution,[status(thm)],[c91]) ).
cnf(c93,axiom,
join(X2,meet(X2,Y2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
cnf(c94,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c93]) ).
cnf(c95,plain,
join(meet(X4,X2),join(X4,meet(X4,X3))) = join(meet(X4,X2),X4),
inference(congruence,[status(thm)],[c94]) ).
cnf(c96,plain,
join(meet(X3,X2),X3) = join(X3,meet(X3,X2)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c97,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c93]) ).
cnf(c98,plain,
join(meet(X3,X2),X3) = X3,
inference(transitivity,[status(thm)],[c96,c97]) ).
cnf(c99,plain,
join(meet(X4,X2),join(X4,meet(X4,X3))) = X4,
inference(transitivity,[status(thm)],[c95,c98]) ).
cnf(c100,plain,
join(X4,join(meet(X4,X3),meet(X4,X2))) = X4,
inference(transitivity,[status(thm)],[c92,c99]) ).
cnf(c101,plain,
join(join(meet(X4,X3),meet(X4,X2)),X4) = X4,
inference(transitivity,[status(thm)],[c80,c100]) ).
cnf(c102,plain,
join(join(meet(complement(X4),X3),meet(complement(X4),complement(X2))),complement(X4)) = complement(X4),
inference(substitution,[status(thm)],[c101]) ).
cnf(c103,plain,
complement(join(join(meet(complement(X4),X3),meet(complement(X4),complement(X2))),complement(X4))) = complement(complement(X4)),
inference(congruence,[status(thm)],[c102]) ).
cnf(c104,plain,
complement(join(join(meet(complement(X4),X3),meet(complement(X4),complement(X2))),complement(X4))) = X4,
inference(transitivity,[status(thm)],[c103,c2]) ).
cnf(c105,plain,
meet(X4,complement(join(meet(complement(X4),X3),meet(complement(X4),complement(X2))))) = X4,
inference(transitivity,[status(thm)],[c78,c104]) ).
cnf(c106,plain,
meet(X4,meet(join(X4,complement(X3)),join(X4,X2))) = X4,
inference(transitivity,[status(thm)],[c76,c105]) ).
cnf(c107,plain,
X4 = meet(X4,meet(join(X4,complement(X3)),join(X4,X2))),
inference(symmetry,[status(thm)],[c106]) ).
cnf(c108,plain,
join(meet(join(X4,complement(X3)),join(X4,X2)),X4) = join(meet(join(X4,complement(X3)),join(X4,X2)),meet(X4,meet(join(X4,complement(X3)),join(X4,X2)))),
inference(congruence,[status(thm)],[c107]) ).
cnf(c109,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c18]) ).
cnf(c110,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c109]) ).
cnf(c111,plain,
join(X3,meet(X2,X3)) = join(X3,meet(X3,X2)),
inference(congruence,[status(thm)],[c110]) ).
cnf(c112,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c93]) ).
cnf(c113,plain,
join(X3,meet(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c111,c112]) ).
cnf(c114,plain,
join(meet(join(X4,complement(X3)),join(X4,X2)),meet(X4,meet(join(X4,complement(X3)),join(X4,X2)))) = meet(join(X4,complement(X3)),join(X4,X2)),
inference(substitution,[status(thm)],[c113]) ).
cnf(c115,plain,
join(meet(join(X4,complement(X3)),join(X4,X2)),X4) = meet(join(X4,complement(X3)),join(X4,X2)),
inference(transitivity,[status(thm)],[c108,c114]) ).
cnf(c116,plain,
join(X4,meet(join(X4,complement(X3)),join(X4,X2))) = meet(join(X4,complement(X3)),join(X4,X2)),
inference(transitivity,[status(thm)],[c73,c115]) ).
cnf(c117,plain,
complement(meet(complement(X4),join(meet(complement(X4),X3),meet(complement(X4),complement(X2))))) = meet(join(X4,complement(X3)),join(X4,X2)),
inference(transitivity,[status(thm)],[c71,c116]) ).
cnf(c118,plain,
meet(complement(meet(complement(X5),join(meet(complement(X5),X4),meet(complement(X5),complement(X3))))),complement(X2)) = meet(meet(join(X5,complement(X4)),join(X5,X3)),complement(X2)),
inference(congruence,[status(thm)],[c117]) ).
cnf(c119,plain,
complement(join(meet(complement(X5),join(meet(complement(X5),X4),meet(complement(X5),complement(X3)))),X2)) = meet(meet(join(X5,complement(X4)),join(X5,X3)),complement(X2)),
inference(transitivity,[status(thm)],[c29,c118]) ).
cnf(c120,plain,
complement(join(X2,meet(complement(X5),join(meet(complement(X5),X4),meet(complement(X5),complement(X3)))))) = meet(meet(join(X5,complement(X4)),join(X5,X3)),complement(X2)),
inference(transitivity,[status(thm)],[c28,c119]) ).
cnf(c121,plain,
complement(join(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2))),meet(complement(X4),join(meet(complement(X4),X3),meet(complement(X4),complement(X2)))))) = meet(meet(join(X4,complement(X3)),join(X4,X2)),complement(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2))))),
inference(substitution,[status(thm)],[c120]) ).
cnf(c122,plain,
meet(complement(X5),complement(join(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2))),meet(complement(X4),join(meet(complement(X4),X3),meet(complement(X4),complement(X2))))))) = meet(complement(X5),meet(meet(join(X4,complement(X3)),join(X4,X2)),complement(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2)))))),
inference(congruence,[status(thm)],[c121]) ).
cnf(c123,plain,
meet(meet(X4,X2),X3) = meet(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c18]) ).
cnf(c124,plain,
meet(X3,meet(X4,X2)) = meet(meet(X4,X2),X3),
inference(symmetry,[status(thm)],[c123]) ).
cnf(c125,axiom,
meet(meet(X2,Y2),Z2) = meet(X2,meet(Y2,Z2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
cnf(c126,plain,
meet(meet(X4,X2),X3) = meet(X4,meet(X2,X3)),
inference(substitution,[status(thm)],[c125]) ).
cnf(c127,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c18]) ).
cnf(c128,plain,
meet(X4,meet(X2,X3)) = meet(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c127]) ).
cnf(c129,plain,
meet(meet(X4,X2),X3) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c126,c128]) ).
cnf(c130,plain,
meet(X3,meet(X4,X2)) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c124,c129]) ).
cnf(c131,plain,
meet(X2,meet(X4,X3)) = meet(X4,meet(X2,X3)),
inference(substitution,[status(thm)],[c130]) ).
cnf(c132,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c18]) ).
cnf(c133,plain,
meet(X4,meet(X2,X3)) = meet(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c132]) ).
cnf(c134,plain,
meet(X2,meet(X4,X3)) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c131,c133]) ).
cnf(c135,plain,
meet(complement(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2)))),meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2)))) = meet(complement(X5),meet(meet(join(X4,complement(X3)),join(X4,X2)),complement(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2)))))),
inference(substitution,[status(thm)],[c134]) ).
cnf(c136,plain,
meet(complement(X5),meet(meet(join(X4,complement(X3)),join(X4,X2)),complement(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2)))))) = meet(complement(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2)))),meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2)))),
inference(symmetry,[status(thm)],[c135]) ).
cnf(c137,plain,
meet(complement(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2)))),meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2)))) = meet(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2))),complement(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2))))),
inference(substitution,[status(thm)],[c18]) ).
cnf(c138,plain,
meet(complement(X2),X2) = meet(X2,complement(X2)),
inference(substitution,[status(thm)],[c18]) ).
cnf(c139,plain,
meet(X2,complement(X2)) = meet(complement(X2),X2),
inference(symmetry,[status(thm)],[c138]) ).
cnf(c140,axiom,
meet(complement(X2),X2) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c141,plain,
meet(X2,complement(X2)) = n0,
inference(transitivity,[status(thm)],[c139,c140]) ).
cnf(c142,plain,
meet(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2))),complement(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2))))) = n0,
inference(substitution,[status(thm)],[c141]) ).
cnf(c143,plain,
meet(complement(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2)))),meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2)))) = n0,
inference(transitivity,[status(thm)],[c137,c142]) ).
cnf(c144,plain,
meet(complement(X5),meet(meet(join(X4,complement(X3)),join(X4,X2)),complement(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2)))))) = n0,
inference(transitivity,[status(thm)],[c136,c143]) ).
cnf(c145,plain,
meet(complement(X5),complement(join(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2))),meet(complement(X4),join(meet(complement(X4),X3),meet(complement(X4),complement(X2))))))) = n0,
inference(transitivity,[status(thm)],[c122,c144]) ).
cnf(c146,plain,
complement(join(X5,join(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2))),meet(complement(X4),join(meet(complement(X4),X3),meet(complement(X4),complement(X2))))))) = n0,
inference(transitivity,[status(thm)],[c26,c145]) ).
cnf(c147,plain,
complement(complement(join(X5,join(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2))),meet(complement(X4),join(meet(complement(X4),X3),meet(complement(X4),complement(X2)))))))) = complement(n0),
inference(congruence,[status(thm)],[c146]) ).
cnf(c148,plain,
join(complement(X2),X2) = join(X2,complement(X2)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c149,plain,
join(X2,complement(X2)) = join(complement(X2),X2),
inference(symmetry,[status(thm)],[c148]) ).
cnf(c150,axiom,
join(complement(X2),X2) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c151,plain,
join(X2,complement(X2)) = n1,
inference(transitivity,[status(thm)],[c149,c150]) ).
cnf(c152,plain,
join(complement(X2),complement(complement(X2))) = n1,
inference(substitution,[status(thm)],[c151]) ).
cnf(c153,plain,
n1 = join(complement(X2),complement(complement(X2))),
inference(symmetry,[status(thm)],[c152]) ).
cnf(c154,plain,
complement(n1) = complement(join(complement(X2),complement(complement(X2)))),
inference(congruence,[status(thm)],[c153]) ).
cnf(c155,plain,
meet(X2,complement(X2)) = complement(join(complement(X2),complement(complement(X2)))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c156,plain,
complement(join(complement(X2),complement(complement(X2)))) = meet(X2,complement(X2)),
inference(symmetry,[status(thm)],[c155]) ).
cnf(c157,plain,
complement(join(complement(X2),complement(complement(X2)))) = n0,
inference(transitivity,[status(thm)],[c156,c141]) ).
cnf(c158,plain,
complement(n1) = n0,
inference(transitivity,[status(thm)],[c154,c157]) ).
cnf(c159,plain,
n0 = complement(n1),
inference(symmetry,[status(thm)],[c158]) ).
cnf(c160,plain,
complement(n0) = complement(complement(n1)),
inference(congruence,[status(thm)],[c159]) ).
cnf(c161,plain,
complement(complement(n1)) = n1,
inference(substitution,[status(thm)],[c2]) ).
cnf(c162,plain,
complement(n0) = n1,
inference(transitivity,[status(thm)],[c160,c161]) ).
cnf(c163,plain,
complement(complement(join(X5,join(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2))),meet(complement(X4),join(meet(complement(X4),X3),meet(complement(X4),complement(X2)))))))) = n1,
inference(transitivity,[status(thm)],[c147,c162]) ).
cnf(c164,plain,
join(X5,join(meet(complement(X5),meet(join(X4,complement(X3)),join(X4,X2))),meet(complement(X4),join(meet(complement(X4),X3),meet(complement(X4),complement(X2)))))) = n1,
inference(transitivity,[status(thm)],[c4,c163]) ).
cnf(c165,plain,
join(a,join(meet(complement(a),meet(join(a,complement(b)),join(a,b))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) = n1,
inference(substitution,[status(thm)],[c164]) ).
cnf(c166,plain,
$false,
inference(resolution,[status(thm)],[c1,c165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT017-1 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n013.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 13:56:06 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.55 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.19/0.55
% 0.19/0.55 % SZS status Unsatisfiable
% 0.19/0.55
% 0.19/0.55 % SZS output start CNFRefutation
% See solution above
% 1.13/0.60
% 1.13/0.60 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------