%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT018-1 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 0.06s 0.42s
% Output : CNFRefutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 11
% Syntax : Number of clauses : 173 ( 173 unt; 0 nHn; 8 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 427 ( 70 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
join(complement(join(join(meet(complement(a),b),meet(complement(a),complement(b))),meet(a,join(complement(a),b)))),join(complement(a),b)) != n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_e3) ).
cnf(c2,axiom,
meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
cnf(c3,plain,
meet(complement(X2),X2) = meet(X2,complement(X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
meet(X2,complement(X2)) = meet(complement(X2),X2),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
meet(complement(X2),X2) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c6,plain,
meet(X2,complement(X2)) = n0,
inference(transitivity,[status(thm)],[c4,c5]) ).
cnf(c7,plain,
n0 = meet(X2,complement(X2)),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
join(X2,n0) = join(X2,meet(X2,complement(X2))),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,axiom,
join(X2,meet(X2,Y2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
cnf(c10,plain,
join(X2,meet(X2,complement(X2))) = X2,
inference(substitution,[status(thm)],[c9]) ).
cnf(c11,plain,
join(X2,n0) = X2,
inference(transitivity,[status(thm)],[c8,c10]) ).
cnf(c12,plain,
join(join(complement(join(join(meet(X2,X6),meet(X5,X4)),meet(X3,join(X5,X6)))),join(X5,X6)),n0) = join(complement(join(join(meet(X2,X6),meet(X5,X4)),meet(X3,join(X5,X6)))),join(X5,X6)),
inference(substitution,[status(thm)],[c11]) ).
cnf(c13,plain,
join(complement(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5)))),join(X4,X5)) = join(join(complement(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5)))),join(X4,X5)),n0),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c14,axiom,
join(X2,Y2) = join(Y2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
cnf(c15,plain,
join(X2,complement(X3)) = join(complement(X3),X2),
inference(substitution,[status(thm)],[c14]) ).
cnf(c16,plain,
join(complement(X3),X2) = join(X2,complement(X3)),
inference(symmetry,[status(thm)],[c15]) ).
cnf(c17,plain,
complement(join(complement(X3),X2)) = complement(join(X2,complement(X3))),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,axiom,
complement(complement(X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c19,plain,
X2 = complement(complement(X2)),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,plain,
join(X3,complement(X2)) = join(complement(complement(X3)),complement(X2)),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,plain,
complement(join(X3,complement(X2))) = complement(join(complement(complement(X3)),complement(X2))),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,axiom,
meet(X2,Y2) = complement(join(complement(X2),complement(Y2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_complement) ).
cnf(c23,plain,
meet(complement(X3),X2) = complement(join(complement(complement(X3)),complement(X2))),
inference(substitution,[status(thm)],[c22]) ).
cnf(c24,plain,
complement(join(complement(complement(X3)),complement(X2))) = meet(complement(X3),X2),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
meet(complement(X3),X2) = meet(X2,complement(X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c26,plain,
complement(join(complement(complement(X3)),complement(X2))) = meet(X2,complement(X3)),
inference(transitivity,[status(thm)],[c24,c25]) ).
cnf(c27,plain,
complement(join(X3,complement(X2))) = meet(X2,complement(X3)),
inference(transitivity,[status(thm)],[c21,c26]) ).
cnf(c28,plain,
complement(join(X2,complement(X3))) = meet(X3,complement(X2)),
inference(substitution,[status(thm)],[c27]) ).
cnf(c29,plain,
complement(join(complement(X3),X2)) = meet(X3,complement(X2)),
inference(transitivity,[status(thm)],[c17,c28]) ).
cnf(c30,plain,
complement(join(complement(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5)))),join(X4,X5))) = meet(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5))),complement(join(X4,X5))),
inference(substitution,[status(thm)],[c29]) ).
cnf(c31,plain,
X2 = complement(complement(X2)),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c32,plain,
join(X3,X2) = join(complement(complement(X3)),X2),
inference(congruence,[status(thm)],[c31]) ).
cnf(c33,plain,
complement(join(X3,X2)) = complement(join(complement(complement(X3)),X2)),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,plain,
complement(join(complement(complement(X3)),X2)) = meet(complement(X3),complement(X2)),
inference(substitution,[status(thm)],[c29]) ).
cnf(c35,plain,
complement(join(X3,X2)) = meet(complement(X3),complement(X2)),
inference(transitivity,[status(thm)],[c33,c34]) ).
cnf(c36,plain,
complement(join(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5))),join(X4,X5))) = meet(complement(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5)))),complement(join(X4,X5))),
inference(substitution,[status(thm)],[c35]) ).
cnf(c37,plain,
meet(complement(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5)))),complement(join(X4,X5))) = complement(join(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5))),join(X4,X5))),
inference(symmetry,[status(thm)],[c36]) ).
cnf(c38,plain,
join(X4,join(X3,meet(X2,X4))) = join(join(X3,meet(X2,X4)),X4),
inference(substitution,[status(thm)],[c14]) ).
cnf(c39,plain,
join(join(X3,meet(X2,X4)),X4) = join(X4,join(X3,meet(X2,X4))),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c40,plain,
join(meet(X2,X4),X3) = join(X3,meet(X2,X4)),
inference(substitution,[status(thm)],[c14]) ).
cnf(c41,plain,
join(X3,meet(X2,X4)) = join(meet(X2,X4),X3),
inference(symmetry,[status(thm)],[c40]) ).
cnf(c42,plain,
join(X4,join(X3,meet(X2,X4))) = join(X4,join(meet(X2,X4),X3)),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,axiom,
join(join(X2,Y2),Z) = join(X2,join(Y2,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
cnf(c44,plain,
join(join(X4,meet(X2,X4)),X3) = join(X4,join(meet(X2,X4),X3)),
inference(substitution,[status(thm)],[c43]) ).
cnf(c45,plain,
join(X4,join(meet(X2,X4),X3)) = join(join(X4,meet(X2,X4)),X3),
inference(symmetry,[status(thm)],[c44]) ).
cnf(c46,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c47,plain,
join(X3,meet(X2,X3)) = join(X3,meet(X3,X2)),
inference(congruence,[status(thm)],[c46]) ).
cnf(c48,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c9]) ).
cnf(c49,plain,
join(X3,meet(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c47,c48]) ).
cnf(c50,plain,
join(join(X4,meet(X2,X4)),X3) = join(X4,X3),
inference(congruence,[status(thm)],[c49]) ).
cnf(c51,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c14]) ).
cnf(c52,plain,
join(join(X4,meet(X2,X4)),X3) = join(X3,X4),
inference(transitivity,[status(thm)],[c50,c51]) ).
cnf(c53,plain,
join(X4,join(meet(X2,X4),X3)) = join(X3,X4),
inference(transitivity,[status(thm)],[c45,c52]) ).
cnf(c54,plain,
join(X4,join(X3,meet(X2,X4))) = join(X3,X4),
inference(transitivity,[status(thm)],[c42,c53]) ).
cnf(c55,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c14]) ).
cnf(c56,plain,
join(X4,join(X3,meet(X2,X4))) = join(X4,X3),
inference(transitivity,[status(thm)],[c54,c55]) ).
cnf(c57,plain,
join(join(X3,meet(X2,X4)),X4) = join(X4,X3),
inference(transitivity,[status(thm)],[c39,c56]) ).
cnf(c58,plain,
join(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5))),join(X4,X5)) = join(join(X4,X5),join(meet(X6,X5),meet(X4,X3))),
inference(substitution,[status(thm)],[c57]) ).
cnf(c59,plain,
join(join(X2,X4),X3) = join(X3,join(X2,X4)),
inference(substitution,[status(thm)],[c14]) ).
cnf(c60,plain,
join(X3,join(X2,X4)) = join(join(X2,X4),X3),
inference(symmetry,[status(thm)],[c59]) ).
cnf(c61,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c14]) ).
cnf(c62,plain,
join(join(X2,X4),X3) = join(join(X4,X2),X3),
inference(congruence,[status(thm)],[c61]) ).
cnf(c63,plain,
join(join(X4,X2),X3) = join(X4,join(X2,X3)),
inference(substitution,[status(thm)],[c43]) ).
cnf(c64,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c14]) ).
cnf(c65,plain,
join(X4,join(X2,X3)) = join(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c64]) ).
cnf(c66,plain,
join(join(X4,X2),X3) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c63,c65]) ).
cnf(c67,plain,
join(join(X2,X4),X3) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c62,c66]) ).
cnf(c68,plain,
join(X3,join(X2,X4)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c60,c67]) ).
cnf(c69,plain,
join(join(X5,X4),join(meet(X2,X4),X3)) = join(X3,join(join(X5,X4),meet(X2,X4))),
inference(substitution,[status(thm)],[c68]) ).
cnf(c70,plain,
join(meet(X2,X3),join(X4,X3)) = join(join(X4,X3),meet(X2,X3)),
inference(substitution,[status(thm)],[c14]) ).
cnf(c71,plain,
join(join(X4,X3),meet(X2,X3)) = join(meet(X2,X3),join(X4,X3)),
inference(symmetry,[status(thm)],[c70]) ).
cnf(c72,plain,
join(join(X4,X2),X3) = join(X3,join(X4,X2)),
inference(substitution,[status(thm)],[c14]) ).
cnf(c73,plain,
join(X3,join(X4,X2)) = join(join(X4,X2),X3),
inference(symmetry,[status(thm)],[c72]) ).
cnf(c74,plain,
join(join(X4,X2),X3) = join(X4,join(X2,X3)),
inference(substitution,[status(thm)],[c43]) ).
cnf(c75,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c14]) ).
cnf(c76,plain,
join(X4,join(X2,X3)) = join(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c75]) ).
cnf(c77,plain,
join(join(X4,X2),X3) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c74,c76]) ).
cnf(c78,plain,
join(X3,join(X4,X2)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c73,c77]) ).
cnf(c79,plain,
join(meet(X2,X3),join(X4,X3)) = join(X4,join(meet(X2,X3),X3)),
inference(substitution,[status(thm)],[c78]) ).
cnf(c80,plain,
join(X2,meet(X3,X2)) = join(meet(X3,X2),X2),
inference(substitution,[status(thm)],[c14]) ).
cnf(c81,plain,
join(meet(X3,X2),X2) = join(X2,meet(X3,X2)),
inference(symmetry,[status(thm)],[c80]) ).
cnf(c82,plain,
join(X2,meet(X3,X2)) = X2,
inference(substitution,[status(thm)],[c49]) ).
cnf(c83,plain,
join(meet(X3,X2),X2) = X2,
inference(transitivity,[status(thm)],[c81,c82]) ).
cnf(c84,plain,
join(meet(X2,X3),X3) = X3,
inference(substitution,[status(thm)],[c83]) ).
cnf(c85,plain,
join(X4,join(meet(X2,X3),X3)) = join(X4,X3),
inference(congruence,[status(thm)],[c84]) ).
cnf(c86,plain,
join(meet(X2,X3),join(X4,X3)) = join(X4,X3),
inference(transitivity,[status(thm)],[c79,c85]) ).
cnf(c87,plain,
join(join(X4,X3),meet(X2,X3)) = join(X4,X3),
inference(transitivity,[status(thm)],[c71,c86]) ).
cnf(c88,plain,
join(X3,join(join(X5,X4),meet(X2,X4))) = join(X3,join(X5,X4)),
inference(congruence,[status(thm)],[c87]) ).
cnf(c89,plain,
join(X2,join(X4,X3)) = join(join(X4,X3),X2),
inference(substitution,[status(thm)],[c14]) ).
cnf(c90,plain,
join(X3,join(join(X5,X4),meet(X2,X4))) = join(join(X5,X4),X3),
inference(transitivity,[status(thm)],[c88,c89]) ).
cnf(c91,plain,
join(join(X5,X4),join(meet(X2,X4),X3)) = join(join(X5,X4),X3),
inference(transitivity,[status(thm)],[c69,c90]) ).
cnf(c92,plain,
join(join(X3,X4),join(meet(X5,X4),meet(X3,X2))) = join(join(X3,X4),meet(X3,X2)),
inference(substitution,[status(thm)],[c91]) ).
cnf(c93,plain,
join(meet(X3,X2),join(X3,X4)) = join(join(X3,X4),meet(X3,X2)),
inference(substitution,[status(thm)],[c14]) ).
cnf(c94,plain,
join(join(X3,X4),meet(X3,X2)) = join(meet(X3,X2),join(X3,X4)),
inference(symmetry,[status(thm)],[c93]) ).
cnf(c95,plain,
join(X3,join(X4,meet(X3,X2))) = join(meet(X3,X2),join(X3,X4)),
inference(substitution,[status(thm)],[c68]) ).
cnf(c96,plain,
join(meet(X3,X2),join(X3,X4)) = join(X3,join(X4,meet(X3,X2))),
inference(symmetry,[status(thm)],[c95]) ).
cnf(c97,plain,
join(meet(X4,X2),X3) = join(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c14]) ).
cnf(c98,plain,
join(X3,meet(X4,X2)) = join(meet(X4,X2),X3),
inference(symmetry,[status(thm)],[c97]) ).
cnf(c99,plain,
join(X4,join(X3,meet(X4,X2))) = join(X4,join(meet(X4,X2),X3)),
inference(congruence,[status(thm)],[c98]) ).
cnf(c100,plain,
join(join(X4,meet(X4,X2)),X3) = join(X4,join(meet(X4,X2),X3)),
inference(substitution,[status(thm)],[c43]) ).
cnf(c101,plain,
join(X4,join(meet(X4,X2),X3)) = join(join(X4,meet(X4,X2)),X3),
inference(symmetry,[status(thm)],[c100]) ).
cnf(c102,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c9]) ).
cnf(c103,plain,
join(join(X4,meet(X4,X2)),X3) = join(X4,X3),
inference(congruence,[status(thm)],[c102]) ).
cnf(c104,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c14]) ).
cnf(c105,plain,
join(join(X4,meet(X4,X2)),X3) = join(X3,X4),
inference(transitivity,[status(thm)],[c103,c104]) ).
cnf(c106,plain,
join(X4,join(meet(X4,X2),X3)) = join(X3,X4),
inference(transitivity,[status(thm)],[c101,c105]) ).
cnf(c107,plain,
join(X4,join(X3,meet(X4,X2))) = join(X3,X4),
inference(transitivity,[status(thm)],[c99,c106]) ).
cnf(c108,plain,
join(X3,join(X4,meet(X3,X2))) = join(X4,X3),
inference(substitution,[status(thm)],[c107]) ).
cnf(c109,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c14]) ).
cnf(c110,plain,
join(X3,join(X4,meet(X3,X2))) = join(X3,X4),
inference(transitivity,[status(thm)],[c108,c109]) ).
cnf(c111,plain,
join(meet(X3,X2),join(X3,X4)) = join(X3,X4),
inference(transitivity,[status(thm)],[c96,c110]) ).
cnf(c112,plain,
join(join(X3,X4),meet(X3,X2)) = join(X3,X4),
inference(transitivity,[status(thm)],[c94,c111]) ).
cnf(c113,plain,
join(join(X3,X4),join(meet(X5,X4),meet(X3,X2))) = join(X3,X4),
inference(transitivity,[status(thm)],[c92,c112]) ).
cnf(c114,plain,
join(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5))),join(X4,X5)) = join(X4,X5),
inference(transitivity,[status(thm)],[c58,c113]) ).
cnf(c115,plain,
complement(join(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5))),join(X4,X5))) = complement(join(X4,X5)),
inference(congruence,[status(thm)],[c114]) ).
cnf(c116,plain,
meet(complement(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5)))),complement(join(X4,X5))) = complement(join(X4,X5)),
inference(transitivity,[status(thm)],[c37,c115]) ).
cnf(c117,plain,
complement(join(X4,X5)) = meet(complement(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5)))),complement(join(X4,X5))),
inference(symmetry,[status(thm)],[c116]) ).
cnf(c118,plain,
meet(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5))),complement(join(X4,X5))) = meet(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5))),meet(complement(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5)))),complement(join(X4,X5)))),
inference(congruence,[status(thm)],[c117]) ).
cnf(c119,plain,
meet(X2,complement(X3)) = meet(complement(X3),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c120,plain,
meet(complement(X3),X2) = meet(X2,complement(X3)),
inference(symmetry,[status(thm)],[c119]) ).
cnf(c121,plain,
meet(X3,meet(complement(X3),X2)) = meet(X3,meet(X2,complement(X3))),
inference(congruence,[status(thm)],[c120]) ).
cnf(c122,plain,
meet(meet(X4,X2),X3) = meet(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c123,plain,
meet(X3,meet(X4,X2)) = meet(meet(X4,X2),X3),
inference(symmetry,[status(thm)],[c122]) ).
cnf(c124,axiom,
meet(meet(X2,Y2),Z2) = meet(X2,meet(Y2,Z2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
cnf(c125,plain,
meet(meet(X4,X2),X3) = meet(X4,meet(X2,X3)),
inference(substitution,[status(thm)],[c124]) ).
cnf(c126,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c127,plain,
meet(X4,meet(X2,X3)) = meet(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c126]) ).
cnf(c128,plain,
meet(meet(X4,X2),X3) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c125,c127]) ).
cnf(c129,plain,
meet(X3,meet(X4,X2)) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c123,c128]) ).
cnf(c130,plain,
meet(X3,meet(X2,complement(X3))) = meet(X2,meet(X3,complement(X3))),
inference(substitution,[status(thm)],[c129]) ).
cnf(c131,plain,
meet(X2,meet(X3,complement(X3))) = meet(X2,n0),
inference(congruence,[status(thm)],[c6]) ).
cnf(c132,plain,
meet(X2,n0) = complement(join(complement(X2),complement(n0))),
inference(substitution,[status(thm)],[c22]) ).
cnf(c133,plain,
join(complement(X2),X2) = join(X2,complement(X2)),
inference(substitution,[status(thm)],[c14]) ).
cnf(c134,plain,
join(X2,complement(X2)) = join(complement(X2),X2),
inference(symmetry,[status(thm)],[c133]) ).
cnf(c135,axiom,
join(complement(X2),X2) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c136,plain,
join(X2,complement(X2)) = n1,
inference(transitivity,[status(thm)],[c134,c135]) ).
cnf(c137,plain,
join(complement(X2),complement(complement(X2))) = n1,
inference(substitution,[status(thm)],[c136]) ).
cnf(c138,plain,
n1 = join(complement(X2),complement(complement(X2))),
inference(symmetry,[status(thm)],[c137]) ).
cnf(c139,plain,
complement(n1) = complement(join(complement(X2),complement(complement(X2)))),
inference(congruence,[status(thm)],[c138]) ).
cnf(c140,plain,
meet(X2,complement(X2)) = complement(join(complement(X2),complement(complement(X2)))),
inference(substitution,[status(thm)],[c22]) ).
cnf(c141,plain,
complement(join(complement(X2),complement(complement(X2)))) = meet(X2,complement(X2)),
inference(symmetry,[status(thm)],[c140]) ).
cnf(c142,plain,
complement(join(complement(X2),complement(complement(X2)))) = n0,
inference(transitivity,[status(thm)],[c141,c6]) ).
cnf(c143,plain,
complement(n1) = n0,
inference(transitivity,[status(thm)],[c139,c142]) ).
cnf(c144,plain,
n0 = complement(n1),
inference(symmetry,[status(thm)],[c143]) ).
cnf(c145,plain,
complement(n0) = complement(complement(n1)),
inference(congruence,[status(thm)],[c144]) ).
cnf(c146,plain,
complement(complement(n1)) = n1,
inference(substitution,[status(thm)],[c18]) ).
cnf(c147,plain,
complement(n0) = n1,
inference(transitivity,[status(thm)],[c145,c146]) ).
cnf(c148,plain,
join(complement(X2),complement(n0)) = join(complement(X2),n1),
inference(congruence,[status(thm)],[c147]) ).
cnf(c149,plain,
complement(join(complement(X2),complement(n0))) = complement(join(complement(X2),n1)),
inference(congruence,[status(thm)],[c148]) ).
cnf(c150,plain,
n1 = join(X2,complement(X2)),
inference(symmetry,[status(thm)],[c136]) ).
cnf(c151,plain,
join(X3,n1) = join(X3,join(X2,complement(X2))),
inference(congruence,[status(thm)],[c150]) ).
cnf(c152,axiom,
join(X2,join(Y2,complement(Y2))) = join(Y2,complement(Y2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_complement) ).
cnf(c153,plain,
join(X3,join(X2,complement(X2))) = join(X2,complement(X2)),
inference(substitution,[status(thm)],[c152]) ).
cnf(c154,plain,
join(X3,join(X2,complement(X2))) = n1,
inference(transitivity,[status(thm)],[c153,c136]) ).
cnf(c155,plain,
join(X2,n1) = n1,
inference(transitivity,[status(thm)],[c151,c154]) ).
cnf(c156,plain,
join(complement(X2),n1) = n1,
inference(substitution,[status(thm)],[c155]) ).
cnf(c157,plain,
complement(join(complement(X2),n1)) = complement(n1),
inference(congruence,[status(thm)],[c156]) ).
cnf(c158,plain,
complement(join(complement(X2),n1)) = n0,
inference(transitivity,[status(thm)],[c157,c143]) ).
cnf(c159,plain,
complement(join(complement(X2),complement(n0))) = n0,
inference(transitivity,[status(thm)],[c149,c158]) ).
cnf(c160,plain,
meet(X2,n0) = n0,
inference(transitivity,[status(thm)],[c132,c159]) ).
cnf(c161,plain,
meet(X2,meet(X3,complement(X3))) = n0,
inference(transitivity,[status(thm)],[c131,c160]) ).
cnf(c162,plain,
meet(X3,meet(X2,complement(X3))) = n0,
inference(transitivity,[status(thm)],[c130,c161]) ).
cnf(c163,plain,
meet(X3,meet(complement(X3),X2)) = n0,
inference(transitivity,[status(thm)],[c121,c162]) ).
cnf(c164,plain,
meet(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5))),meet(complement(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5)))),complement(join(X4,X5)))) = n0,
inference(substitution,[status(thm)],[c163]) ).
cnf(c165,plain,
meet(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5))),complement(join(X4,X5))) = n0,
inference(transitivity,[status(thm)],[c118,c164]) ).
cnf(c166,plain,
complement(join(complement(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5)))),join(X4,X5))) = n0,
inference(transitivity,[status(thm)],[c30,c165]) ).
cnf(c167,plain,
n0 = complement(join(complement(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5)))),join(X4,X5))),
inference(symmetry,[status(thm)],[c166]) ).
cnf(c168,plain,
join(join(complement(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5)))),join(X4,X5)),n0) = join(join(complement(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5)))),join(X4,X5)),complement(join(complement(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5)))),join(X4,X5)))),
inference(congruence,[status(thm)],[c167]) ).
cnf(c169,plain,
join(join(complement(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5)))),join(X4,X5)),complement(join(complement(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5)))),join(X4,X5)))) = n1,
inference(substitution,[status(thm)],[c136]) ).
cnf(c170,plain,
join(join(complement(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5)))),join(X4,X5)),n0) = n1,
inference(transitivity,[status(thm)],[c168,c169]) ).
cnf(c171,plain,
join(complement(join(join(meet(X6,X5),meet(X4,X3)),meet(X2,join(X4,X5)))),join(X4,X5)) = n1,
inference(transitivity,[status(thm)],[c13,c170]) ).
cnf(c172,plain,
join(complement(join(join(meet(complement(a),b),meet(complement(a),complement(b))),meet(a,join(complement(a),b)))),join(complement(a),b)) = n1,
inference(substitution,[status(thm)],[c171]) ).
cnf(c173,plain,
$false,
inference(resolution,[status(thm)],[c1,c172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT018-1 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.02 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Sun Sep 27 13:56:34 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.42 Command-line arguments: --flatten --complete-subsets
% 0.06/0.42
% 0.06/0.42 % SZS status Unsatisfiable
% 0.06/0.42
% 0.06/0.43 % SZS output start CNFRefutation
% See solution above
% 0.84/0.48
% 0.84/0.48 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------