%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT027-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 11:42:51 AM UTC 2026
% Result : Unsatisfiable 3.08s 0.88s
% Output : CNFRefutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 6
% Syntax : Number of clauses : 142 ( 142 unt; 0 nHn; 3 RR)
% Number of literals : 142 ( 141 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 388 ( 63 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
join(join(a,b),c) != join(a,join(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_associativity_of_join) ).
cnf(c2,axiom,
join(X,Y) = join(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
cnf(c3,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
join(X4,join(X2,X3)) = join(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,plain,
meet(join(X4,X3),join(X3,join(X2,X4))) = meet(join(X4,X3),join(X3,join(X4,X2))),
inference(congruence,[status(thm)],[c5]) ).
cnf(c7,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c8,plain,
meet(join(X4,X3),join(X3,join(X4,X2))) = meet(join(X3,X4),join(X3,join(X4,X2))),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c10,plain,
join(X3,X2) = join(X2,X3),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,plain,
join(join(X4,X3),join(X4,join(X3,X2))) = join(join(X3,X4),join(X4,join(X3,X2))),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,plain,
join(join(X4,join(X3,X2)),join(X3,X4)) = join(join(X3,X4),join(X4,join(X3,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c13,plain,
join(join(X3,X4),join(X4,join(X3,X2))) = join(join(X4,join(X3,X2)),join(X3,X4)),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c14,axiom,
join(X2,X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).
cnf(c15,plain,
join(join(X3,X2),join(X3,X2)) = join(X3,X2),
inference(substitution,[status(thm)],[c14]) ).
cnf(c16,plain,
join(X3,X2) = join(join(X3,X2),join(X3,X2)),
inference(symmetry,[status(thm)],[c15]) ).
cnf(c17,plain,
meet(X3,join(X3,X2)) = meet(X3,join(join(X3,X2),join(X3,X2))),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,hypothesis,
meet(X2,join(Y2,join(X2,Z))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption) ).
cnf(c19,plain,
meet(X3,join(join(X3,X2),join(X3,X2))) = X3,
inference(substitution,[status(thm)],[c18]) ).
cnf(c20,plain,
meet(X3,join(X3,X2)) = X3,
inference(transitivity,[status(thm)],[c17,c19]) ).
cnf(c21,plain,
meet(X4,join(X4,join(X3,X2))) = X4,
inference(substitution,[status(thm)],[c20]) ).
cnf(c22,plain,
X4 = meet(X4,join(X4,join(X3,X2))),
inference(symmetry,[status(thm)],[c21]) ).
cnf(c23,plain,
join(X3,X4) = join(X3,meet(X4,join(X4,join(X3,X2)))),
inference(congruence,[status(thm)],[c22]) ).
cnf(c24,plain,
join(join(X4,join(X3,X2)),join(X3,X4)) = join(join(X4,join(X3,X2)),join(X3,meet(X4,join(X4,join(X3,X2))))),
inference(congruence,[status(thm)],[c23]) ).
cnf(c25,plain,
meet(X3,join(X4,join(X3,X2))) = X3,
inference(substitution,[status(thm)],[c18]) ).
cnf(c26,plain,
X3 = meet(X3,join(X4,join(X3,X2))),
inference(symmetry,[status(thm)],[c25]) ).
cnf(c27,plain,
join(X3,meet(X5,join(X4,join(X3,X2)))) = join(meet(X3,join(X4,join(X3,X2))),meet(X5,join(X4,join(X3,X2)))),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,plain,
join(join(X5,join(X4,X3)),join(X4,meet(X2,join(X5,join(X4,X3))))) = join(join(X5,join(X4,X3)),join(meet(X4,join(X5,join(X4,X3))),meet(X2,join(X5,join(X4,X3))))),
inference(congruence,[status(thm)],[c27]) ).
cnf(c29,plain,
join(join(meet(X3,X4),meet(X2,X4)),X4) = join(X4,join(meet(X3,X4),meet(X2,X4))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c30,plain,
join(X4,join(meet(X3,X4),meet(X2,X4))) = join(join(meet(X3,X4),meet(X2,X4)),X4),
inference(symmetry,[status(thm)],[c29]) ).
cnf(c31,axiom,
join(join(meet(X2,Y2),meet(Z2,Y2)),Y2) = Y2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_2) ).
cnf(c32,plain,
join(join(meet(X3,X4),meet(X2,X4)),X4) = X4,
inference(substitution,[status(thm)],[c31]) ).
cnf(c33,plain,
join(X4,join(meet(X3,X4),meet(X2,X4))) = X4,
inference(transitivity,[status(thm)],[c30,c32]) ).
cnf(c34,plain,
join(join(X5,join(X4,X3)),join(meet(X4,join(X5,join(X4,X3))),meet(X2,join(X5,join(X4,X3))))) = join(X5,join(X4,X3)),
inference(substitution,[status(thm)],[c33]) ).
cnf(c35,plain,
join(join(X5,join(X4,X3)),join(X4,meet(X2,join(X5,join(X4,X3))))) = join(X5,join(X4,X3)),
inference(transitivity,[status(thm)],[c28,c34]) ).
cnf(c36,plain,
join(join(X4,join(X3,X2)),join(X3,meet(X4,join(X4,join(X3,X2))))) = join(X4,join(X3,X2)),
inference(substitution,[status(thm)],[c35]) ).
cnf(c37,plain,
join(join(X4,join(X3,X2)),join(X3,X4)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c24,c36]) ).
cnf(c38,plain,
join(join(X3,X4),join(X4,join(X3,X2))) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c13,c37]) ).
cnf(c39,plain,
join(join(X4,X3),join(X4,join(X3,X2))) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c11,c38]) ).
cnf(c40,plain,
join(X4,join(X3,X2)) = join(join(X4,X3),join(X4,join(X3,X2))),
inference(symmetry,[status(thm)],[c39]) ).
cnf(c41,plain,
meet(join(X4,X3),join(X4,join(X3,X2))) = meet(join(X4,X3),join(join(X4,X3),join(X4,join(X3,X2)))),
inference(congruence,[status(thm)],[c40]) ).
cnf(c42,plain,
meet(join(X4,X3),join(join(X4,X3),join(X4,join(X3,X2)))) = join(X4,X3),
inference(substitution,[status(thm)],[c20]) ).
cnf(c43,plain,
meet(join(X4,X3),join(X4,join(X3,X2))) = join(X4,X3),
inference(transitivity,[status(thm)],[c41,c42]) ).
cnf(c44,plain,
meet(join(X3,X4),join(X3,join(X4,X2))) = join(X3,X4),
inference(substitution,[status(thm)],[c43]) ).
cnf(c45,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c46,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c45]) ).
cnf(c47,plain,
meet(join(X3,X4),join(X3,join(X4,X2))) = join(X4,X3),
inference(transitivity,[status(thm)],[c44,c46]) ).
cnf(c48,plain,
meet(join(X4,X3),join(X3,join(X4,X2))) = join(X4,X3),
inference(transitivity,[status(thm)],[c8,c47]) ).
cnf(c49,plain,
meet(join(X4,X3),join(X3,join(X2,X4))) = join(X4,X3),
inference(transitivity,[status(thm)],[c6,c48]) ).
cnf(c50,plain,
meet(join(join(X4,X3),X2),join(X2,join(join(X4,join(X3,X2)),join(X4,X3)))) = join(join(X4,X3),X2),
inference(substitution,[status(thm)],[c49]) ).
cnf(c51,plain,
join(join(X4,X3),X2) = meet(join(join(X4,X3),X2),join(X2,join(join(X4,join(X3,X2)),join(X4,X3)))),
inference(symmetry,[status(thm)],[c50]) ).
cnf(c52,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c53,plain,
join(join(X4,join(X3,X2)),join(X4,X3)) = join(join(X4,join(X3,X2)),join(X3,X4)),
inference(congruence,[status(thm)],[c52]) ).
cnf(c54,plain,
meet(X4,join(X4,join(X3,X2))) = X4,
inference(substitution,[status(thm)],[c20]) ).
cnf(c55,plain,
X4 = meet(X4,join(X4,join(X3,X2))),
inference(symmetry,[status(thm)],[c54]) ).
cnf(c56,plain,
join(X3,X4) = join(X3,meet(X4,join(X4,join(X3,X2)))),
inference(congruence,[status(thm)],[c55]) ).
cnf(c57,plain,
join(join(X4,join(X3,X2)),join(X3,X4)) = join(join(X4,join(X3,X2)),join(X3,meet(X4,join(X4,join(X3,X2))))),
inference(congruence,[status(thm)],[c56]) ).
cnf(c58,plain,
join(join(X4,join(X3,X2)),join(X3,meet(X4,join(X4,join(X3,X2))))) = join(X4,join(X3,X2)),
inference(substitution,[status(thm)],[c35]) ).
cnf(c59,plain,
join(join(X4,join(X3,X2)),join(X3,X4)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c57,c58]) ).
cnf(c60,plain,
join(join(X4,join(X3,X2)),join(X4,X3)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c53,c59]) ).
cnf(c61,plain,
join(X2,join(join(X4,join(X3,X2)),join(X4,X3))) = join(X2,join(X4,join(X3,X2))),
inference(congruence,[status(thm)],[c60]) ).
cnf(c62,plain,
meet(join(join(X4,X3),X2),join(X2,join(join(X4,join(X3,X2)),join(X4,X3)))) = meet(join(join(X4,X3),X2),join(X2,join(X4,join(X3,X2)))),
inference(congruence,[status(thm)],[c61]) ).
cnf(c63,plain,
join(join(X3,join(X2,X4)),X4) = join(X4,join(X3,join(X2,X4))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c64,plain,
join(X4,join(X3,join(X2,X4))) = join(join(X3,join(X2,X4)),X4),
inference(symmetry,[status(thm)],[c63]) ).
cnf(c65,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c66,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c65]) ).
cnf(c67,plain,
join(X3,join(X2,X4)) = join(X3,join(X4,X2)),
inference(congruence,[status(thm)],[c66]) ).
cnf(c68,plain,
meet(X4,join(X3,join(X2,X4))) = meet(X4,join(X3,join(X4,X2))),
inference(congruence,[status(thm)],[c67]) ).
cnf(c69,plain,
meet(X4,join(X3,join(X4,X2))) = X4,
inference(substitution,[status(thm)],[c18]) ).
cnf(c70,plain,
meet(X4,join(X3,join(X2,X4))) = X4,
inference(transitivity,[status(thm)],[c68,c69]) ).
cnf(c71,plain,
X4 = meet(X4,join(X3,join(X2,X4))),
inference(symmetry,[status(thm)],[c70]) ).
cnf(c72,plain,
join(join(X3,join(X2,X4)),X4) = join(join(X3,join(X2,X4)),meet(X4,join(X3,join(X2,X4)))),
inference(congruence,[status(thm)],[c71]) ).
cnf(c73,axiom,
meet(X2,Y2) = meet(Y2,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
cnf(c74,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c73]) ).
cnf(c75,plain,
meet(X2,X3) = meet(X3,X2),
inference(symmetry,[status(thm)],[c74]) ).
cnf(c76,plain,
join(X3,meet(X2,X3)) = join(X3,meet(X3,X2)),
inference(congruence,[status(thm)],[c75]) ).
cnf(c77,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c73]) ).
cnf(c78,plain,
meet(X3,X2) = meet(X2,X3),
inference(symmetry,[status(thm)],[c77]) ).
cnf(c79,plain,
join(X3,meet(X3,X2)) = join(X3,meet(X2,X3)),
inference(congruence,[status(thm)],[c78]) ).
cnf(c80,plain,
join(meet(X2,X3),meet(X2,X3)) = meet(X2,X3),
inference(substitution,[status(thm)],[c14]) ).
cnf(c81,plain,
meet(X2,X3) = join(meet(X2,X3),meet(X2,X3)),
inference(symmetry,[status(thm)],[c80]) ).
cnf(c82,plain,
join(X3,meet(X2,X3)) = join(X3,join(meet(X2,X3),meet(X2,X3))),
inference(congruence,[status(thm)],[c81]) ).
cnf(c83,plain,
join(X3,join(meet(X2,X3),meet(X2,X3))) = X3,
inference(substitution,[status(thm)],[c33]) ).
cnf(c84,plain,
join(X3,meet(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c82,c83]) ).
cnf(c85,plain,
join(X3,meet(X3,X2)) = X3,
inference(transitivity,[status(thm)],[c79,c84]) ).
cnf(c86,plain,
join(X3,meet(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c76,c85]) ).
cnf(c87,plain,
join(join(X3,join(X2,X4)),meet(X4,join(X3,join(X2,X4)))) = join(X3,join(X2,X4)),
inference(substitution,[status(thm)],[c86]) ).
cnf(c88,plain,
join(join(X3,join(X2,X4)),X4) = join(X3,join(X2,X4)),
inference(transitivity,[status(thm)],[c72,c87]) ).
cnf(c89,plain,
join(X4,join(X3,join(X2,X4))) = join(X3,join(X2,X4)),
inference(transitivity,[status(thm)],[c64,c88]) ).
cnf(c90,plain,
join(X2,join(X4,join(X3,X2))) = join(X4,join(X3,X2)),
inference(substitution,[status(thm)],[c89]) ).
cnf(c91,plain,
meet(join(join(X4,X3),X2),join(X2,join(X4,join(X3,X2)))) = meet(join(join(X4,X3),X2),join(X4,join(X3,X2))),
inference(congruence,[status(thm)],[c90]) ).
cnf(c92,plain,
meet(join(X4,join(X3,X2)),join(join(X4,X3),X2)) = meet(join(join(X4,X3),X2),join(X4,join(X3,X2))),
inference(substitution,[status(thm)],[c73]) ).
cnf(c93,plain,
meet(join(join(X4,X3),X2),join(X4,join(X3,X2))) = meet(join(X4,join(X3,X2)),join(join(X4,X3),X2)),
inference(symmetry,[status(thm)],[c92]) ).
cnf(c94,plain,
join(join(join(X4,X3),X2),X4) = join(X4,join(join(X4,X3),X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c95,plain,
join(X4,join(join(X4,X3),X2)) = join(join(join(X4,X3),X2),X4),
inference(symmetry,[status(thm)],[c94]) ).
cnf(c96,plain,
join(join(X4,X3),X2) = join(X2,join(X4,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c97,plain,
meet(X4,join(join(X4,X3),X2)) = meet(X4,join(X2,join(X4,X3))),
inference(congruence,[status(thm)],[c96]) ).
cnf(c98,plain,
meet(X4,join(X2,join(X4,X3))) = X4,
inference(substitution,[status(thm)],[c18]) ).
cnf(c99,plain,
meet(X4,join(join(X4,X3),X2)) = X4,
inference(transitivity,[status(thm)],[c97,c98]) ).
cnf(c100,plain,
X4 = meet(X4,join(join(X4,X3),X2)),
inference(symmetry,[status(thm)],[c99]) ).
cnf(c101,plain,
join(join(join(X4,X3),X2),X4) = join(join(join(X4,X3),X2),meet(X4,join(join(X4,X3),X2))),
inference(congruence,[status(thm)],[c100]) ).
cnf(c102,plain,
join(join(join(X4,X3),X2),meet(X4,join(join(X4,X3),X2))) = join(join(X4,X3),X2),
inference(substitution,[status(thm)],[c86]) ).
cnf(c103,plain,
join(join(join(X4,X3),X2),X4) = join(join(X4,X3),X2),
inference(transitivity,[status(thm)],[c101,c102]) ).
cnf(c104,plain,
join(X4,join(join(X4,X3),X2)) = join(join(X4,X3),X2),
inference(transitivity,[status(thm)],[c95,c103]) ).
cnf(c105,plain,
join(join(X4,X3),X2) = join(X4,join(join(X4,X3),X2)),
inference(symmetry,[status(thm)],[c104]) ).
cnf(c106,plain,
meet(join(X4,join(X3,X2)),join(join(X4,X3),X2)) = meet(join(X4,join(X3,X2)),join(X4,join(join(X4,X3),X2))),
inference(congruence,[status(thm)],[c105]) ).
cnf(c107,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c108,plain,
meet(X3,join(X2,X3)) = meet(X3,join(X3,X2)),
inference(congruence,[status(thm)],[c107]) ).
cnf(c109,plain,
meet(X3,join(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c108,c20]) ).
cnf(c110,plain,
meet(X2,join(join(X4,X3),X2)) = X2,
inference(substitution,[status(thm)],[c109]) ).
cnf(c111,plain,
X2 = meet(X2,join(join(X4,X3),X2)),
inference(symmetry,[status(thm)],[c110]) ).
cnf(c112,plain,
join(X3,X2) = join(X3,meet(X2,join(join(X4,X3),X2))),
inference(congruence,[status(thm)],[c111]) ).
cnf(c113,plain,
join(join(join(X4,X3),X2),join(X3,X2)) = join(join(join(X4,X3),X2),join(X3,meet(X2,join(join(X4,X3),X2)))),
inference(congruence,[status(thm)],[c112]) ).
cnf(c114,plain,
join(join(X3,X4),X2) = join(X2,join(X3,X4)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c115,plain,
meet(X4,join(join(X3,X4),X2)) = meet(X4,join(X2,join(X3,X4))),
inference(congruence,[status(thm)],[c114]) ).
cnf(c116,plain,
meet(X4,join(X2,join(X3,X4))) = X4,
inference(substitution,[status(thm)],[c70]) ).
cnf(c117,plain,
meet(X4,join(join(X3,X4),X2)) = X4,
inference(transitivity,[status(thm)],[c115,c116]) ).
cnf(c118,plain,
meet(X3,join(join(X4,X3),X2)) = X3,
inference(substitution,[status(thm)],[c117]) ).
cnf(c119,plain,
X3 = meet(X3,join(join(X4,X3),X2)),
inference(symmetry,[status(thm)],[c118]) ).
cnf(c120,plain,
join(X4,meet(X2,join(join(X5,X4),X3))) = join(meet(X4,join(join(X5,X4),X3)),meet(X2,join(join(X5,X4),X3))),
inference(congruence,[status(thm)],[c119]) ).
cnf(c121,plain,
join(join(join(X5,X4),X3),join(X4,meet(X2,join(join(X5,X4),X3)))) = join(join(join(X5,X4),X3),join(meet(X4,join(join(X5,X4),X3)),meet(X2,join(join(X5,X4),X3)))),
inference(congruence,[status(thm)],[c120]) ).
cnf(c122,plain,
join(join(join(X5,X4),X3),join(meet(X4,join(join(X5,X4),X3)),meet(X2,join(join(X5,X4),X3)))) = join(join(X5,X4),X3),
inference(substitution,[status(thm)],[c33]) ).
cnf(c123,plain,
join(join(join(X5,X4),X3),join(X4,meet(X2,join(join(X5,X4),X3)))) = join(join(X5,X4),X3),
inference(transitivity,[status(thm)],[c121,c122]) ).
cnf(c124,plain,
join(join(join(X4,X3),X2),join(X3,meet(X2,join(join(X4,X3),X2)))) = join(join(X4,X3),X2),
inference(substitution,[status(thm)],[c123]) ).
cnf(c125,plain,
join(join(join(X4,X3),X2),join(X3,X2)) = join(join(X4,X3),X2),
inference(transitivity,[status(thm)],[c113,c124]) ).
cnf(c126,plain,
join(join(X4,X3),X2) = join(join(join(X4,X3),X2),join(X3,X2)),
inference(symmetry,[status(thm)],[c125]) ).
cnf(c127,plain,
join(X4,join(join(X4,X3),X2)) = join(X4,join(join(join(X4,X3),X2),join(X3,X2))),
inference(congruence,[status(thm)],[c126]) ).
cnf(c128,plain,
meet(join(X4,join(X3,X2)),join(X4,join(join(X4,X3),X2))) = meet(join(X4,join(X3,X2)),join(X4,join(join(join(X4,X3),X2),join(X3,X2)))),
inference(congruence,[status(thm)],[c127]) ).
cnf(c129,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c130,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c129]) ).
cnf(c131,plain,
join(X4,join(X2,X3)) = join(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c130]) ).
cnf(c132,plain,
meet(join(X4,X3),join(X4,join(X2,X3))) = meet(join(X4,X3),join(X4,join(X3,X2))),
inference(congruence,[status(thm)],[c131]) ).
cnf(c133,plain,
meet(join(X4,X3),join(X4,join(X2,X3))) = join(X4,X3),
inference(transitivity,[status(thm)],[c132,c43]) ).
cnf(c134,plain,
meet(join(X4,join(X3,X2)),join(X4,join(join(join(X4,X3),X2),join(X3,X2)))) = join(X4,join(X3,X2)),
inference(substitution,[status(thm)],[c133]) ).
cnf(c135,plain,
meet(join(X4,join(X3,X2)),join(X4,join(join(X4,X3),X2))) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c128,c134]) ).
cnf(c136,plain,
meet(join(X4,join(X3,X2)),join(join(X4,X3),X2)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c106,c135]) ).
cnf(c137,plain,
meet(join(join(X4,X3),X2),join(X4,join(X3,X2))) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c93,c136]) ).
cnf(c138,plain,
meet(join(join(X4,X3),X2),join(X2,join(X4,join(X3,X2)))) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c91,c137]) ).
cnf(c139,plain,
meet(join(join(X4,X3),X2),join(X2,join(join(X4,join(X3,X2)),join(X4,X3)))) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c62,c138]) ).
cnf(c140,plain,
join(join(X4,X3),X2) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c51,c139]) ).
cnf(c141,plain,
join(join(a,b),c) = join(a,join(b,c)),
inference(substitution,[status(thm)],[c140]) ).
cnf(c142,plain,
$false,
inference(resolution,[status(thm)],[c1,c141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT027-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 14:03:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.08/0.88 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
% 3.08/0.88
% 3.08/0.88 % SZS status Unsatisfiable
% 3.08/0.88
% 3.08/0.89 % SZS output start CNFRefutation
% See solution above
% 3.88/0.95
% 3.88/0.95 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------