%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT007-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 11:42:48 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.48s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 3
% Syntax : Number of clauses : 163 ( 163 unt; 0 nHn; 11 RR)
% Number of literals : 163 ( 162 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 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 : 372 ( 40 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,
meet(X,join(Y,Z)) = join(meet(Z,X),meet(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribution) ).
cnf(c3,plain,
meet(X4,join(X3,X2)) = join(meet(X2,X4),meet(X3,X4)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
meet(X4,meet(X4,join(X3,X2))) = meet(X4,join(meet(X2,X4),meet(X3,X4))),
inference(congruence,[status(thm)],[c3]) ).
cnf(c5,plain,
meet(X4,join(meet(X3,X4),X2)) = join(meet(X2,X4),meet(meet(X3,X4),X4)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c6,axiom,
meet(X2,join(X2,Y2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption) ).
cnf(c7,plain,
meet(X2,join(X2,X3)) = X2,
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,plain,
X2 = meet(X2,join(X2,X3)),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c9,plain,
meet(meet(X3,X2),X2) = meet(meet(X3,X2),meet(X2,join(X2,X3))),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,plain,
meet(X3,join(X2,X4)) = join(meet(X4,X3),meet(X2,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c11,plain,
meet(meet(X4,X3),meet(X3,join(X2,X4))) = meet(meet(X4,X3),join(meet(X4,X3),meet(X2,X3))),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,plain,
meet(meet(X4,X3),join(meet(X4,X3),meet(X2,X3))) = meet(X4,X3),
inference(substitution,[status(thm)],[c6]) ).
cnf(c13,plain,
meet(meet(X4,X3),meet(X3,join(X2,X4))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c11,c12]) ).
cnf(c14,plain,
meet(meet(X3,X2),meet(X2,join(X2,X3))) = meet(X3,X2),
inference(substitution,[status(thm)],[c13]) ).
cnf(c15,plain,
meet(meet(X3,X2),X2) = meet(X3,X2),
inference(transitivity,[status(thm)],[c9,c14]) ).
cnf(c16,plain,
meet(meet(X2,X3),X3) = meet(X2,X3),
inference(substitution,[status(thm)],[c15]) ).
cnf(c17,plain,
join(meet(X2,X4),meet(meet(X3,X4),X4)) = join(meet(X2,X4),meet(X3,X4)),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,plain,
meet(X4,join(X3,X2)) = join(meet(X2,X4),meet(X3,X4)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c19,plain,
join(meet(X2,X4),meet(X3,X4)) = meet(X4,join(X3,X2)),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,plain,
join(meet(X2,X4),meet(meet(X3,X4),X4)) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c17,c19]) ).
cnf(c21,plain,
meet(X4,join(meet(X3,X4),X2)) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c5,c20]) ).
cnf(c22,plain,
meet(X4,join(meet(X2,X4),meet(X3,X4))) = meet(X4,join(X2,meet(X3,X4))),
inference(substitution,[status(thm)],[c21]) ).
cnf(c23,plain,
meet(X4,join(X3,meet(X2,X4))) = join(meet(meet(X2,X4),X4),meet(X3,X4)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c24,plain,
meet(meet(X2,X3),X3) = meet(X2,X3),
inference(substitution,[status(thm)],[c15]) ).
cnf(c25,plain,
join(meet(meet(X2,X4),X4),meet(X3,X4)) = join(meet(X2,X4),meet(X3,X4)),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
meet(X4,join(X3,X2)) = join(meet(X2,X4),meet(X3,X4)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c27,plain,
join(meet(X2,X4),meet(X3,X4)) = meet(X4,join(X3,X2)),
inference(symmetry,[status(thm)],[c26]) ).
cnf(c28,plain,
join(meet(meet(X2,X4),X4),meet(X3,X4)) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c25,c27]) ).
cnf(c29,plain,
meet(X4,join(X3,meet(X2,X4))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c23,c28]) ).
cnf(c30,plain,
meet(X4,join(X2,meet(X3,X4))) = meet(X4,join(X2,X3)),
inference(substitution,[status(thm)],[c29]) ).
cnf(c31,plain,
meet(X4,join(meet(X2,X4),meet(X3,X4))) = meet(X4,join(X2,X3)),
inference(transitivity,[status(thm)],[c22,c30]) ).
cnf(c32,plain,
meet(X4,meet(X4,join(X3,X2))) = meet(X4,join(X2,X3)),
inference(transitivity,[status(thm)],[c4,c31]) ).
cnf(c33,plain,
meet(X3,meet(X3,join(X3,X2))) = meet(X3,join(X2,X3)),
inference(substitution,[status(thm)],[c32]) ).
cnf(c34,plain,
meet(X3,join(X2,X3)) = meet(X3,meet(X3,join(X3,X2))),
inference(symmetry,[status(thm)],[c33]) ).
cnf(c35,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c6]) ).
cnf(c36,plain,
meet(X3,meet(X3,join(X3,X2))) = meet(X3,X3),
inference(congruence,[status(thm)],[c35]) ).
cnf(c37,plain,
meet(X3,join(X2,X3)) = meet(X3,X3),
inference(transitivity,[status(thm)],[c34,c36]) ).
cnf(c38,plain,
meet(X2,join(X2,X2)) = meet(X2,X2),
inference(substitution,[status(thm)],[c37]) ).
cnf(c39,plain,
meet(X2,X2) = meet(X2,join(X2,X2)),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c40,plain,
meet(X2,join(X2,X2)) = X2,
inference(substitution,[status(thm)],[c6]) ).
cnf(c41,plain,
meet(X2,X2) = X2,
inference(transitivity,[status(thm)],[c39,c40]) ).
cnf(c42,plain,
X2 = meet(X2,X2),
inference(symmetry,[status(thm)],[c41]) ).
cnf(c43,plain,
join(X2,X3) = join(meet(X2,X2),X3),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,plain,
meet(X2,join(X3,X2)) = meet(X2,X2),
inference(substitution,[status(thm)],[c37]) ).
cnf(c45,plain,
meet(X2,X2) = meet(X2,join(X3,X2)),
inference(symmetry,[status(thm)],[c44]) ).
cnf(c46,plain,
join(meet(X2,X2),X3) = join(meet(X2,join(X3,X2)),X3),
inference(congruence,[status(thm)],[c45]) ).
cnf(c47,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c6]) ).
cnf(c48,plain,
X3 = meet(X3,join(X3,X2)),
inference(symmetry,[status(thm)],[c47]) ).
cnf(c49,plain,
join(meet(X4,join(X3,X2)),X3) = join(meet(X4,join(X3,X2)),meet(X3,join(X3,X2))),
inference(congruence,[status(thm)],[c48]) ).
cnf(c50,plain,
meet(join(X3,X2),join(X3,X4)) = join(meet(X4,join(X3,X2)),meet(X3,join(X3,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c51,plain,
join(meet(X4,join(X3,X2)),meet(X3,join(X3,X2))) = meet(join(X3,X2),join(X3,X4)),
inference(symmetry,[status(thm)],[c50]) ).
cnf(c52,plain,
join(meet(X4,join(X3,X2)),X3) = meet(join(X3,X2),join(X3,X4)),
inference(transitivity,[status(thm)],[c49,c51]) ).
cnf(c53,plain,
join(meet(X2,join(X3,X2)),X3) = meet(join(X3,X2),join(X3,X2)),
inference(substitution,[status(thm)],[c52]) ).
cnf(c54,plain,
meet(join(X3,X2),join(X3,X2)) = join(X3,X2),
inference(substitution,[status(thm)],[c41]) ).
cnf(c55,plain,
join(meet(X2,join(X3,X2)),X3) = join(X3,X2),
inference(transitivity,[status(thm)],[c53,c54]) ).
cnf(c56,plain,
join(meet(X2,X2),X3) = join(X3,X2),
inference(transitivity,[status(thm)],[c46,c55]) ).
cnf(c57,plain,
join(X2,X3) = join(X3,X2),
inference(transitivity,[status(thm)],[c43,c56]) ).
cnf(c58,plain,
join(c,join(a,b)) = join(join(a,b),c),
inference(substitution,[status(thm)],[c57]) ).
cnf(c59,plain,
join(join(a,b),c) = join(c,join(a,b)),
inference(symmetry,[status(thm)],[c58]) ).
cnf(c60,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c57]) ).
cnf(c61,plain,
join(X3,join(X4,X2)) = join(X3,join(X2,X4)),
inference(congruence,[status(thm)],[c60]) ).
cnf(c62,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c57]) ).
cnf(c63,plain,
join(join(X4,X3),join(X4,X2)) = join(join(X4,X3),join(X2,X4)),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c57]) ).
cnf(c65,plain,
meet(join(X4,X3),join(X4,join(X3,X2))) = meet(join(X3,X4),join(X4,join(X3,X2))),
inference(congruence,[status(thm)],[c64]) ).
cnf(c66,plain,
X2 = meet(X2,X2),
inference(symmetry,[status(thm)],[c41]) ).
cnf(c67,plain,
join(X2,X2) = join(X2,meet(X2,X2)),
inference(congruence,[status(thm)],[c66]) ).
cnf(c68,plain,
X2 = meet(X2,X2),
inference(symmetry,[status(thm)],[c41]) ).
cnf(c69,plain,
join(X3,meet(X2,X3)) = join(meet(X3,X3),meet(X2,X3)),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,plain,
meet(X3,join(X2,X3)) = join(meet(X3,X3),meet(X2,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c71,plain,
join(meet(X3,X3),meet(X2,X3)) = meet(X3,join(X2,X3)),
inference(symmetry,[status(thm)],[c70]) ).
cnf(c72,plain,
meet(X3,join(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c37,c41]) ).
cnf(c73,plain,
join(meet(X3,X3),meet(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c71,c72]) ).
cnf(c74,plain,
join(X3,meet(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c69,c73]) ).
cnf(c75,plain,
join(X2,meet(X2,X2)) = X2,
inference(substitution,[status(thm)],[c74]) ).
cnf(c76,plain,
join(X2,X2) = X2,
inference(transitivity,[status(thm)],[c67,c75]) ).
cnf(c77,plain,
X2 = join(X2,X2),
inference(symmetry,[status(thm)],[c76]) ).
cnf(c78,plain,
meet(X2,X3) = meet(X2,join(X3,X3)),
inference(congruence,[status(thm)],[c77]) ).
cnf(c79,plain,
meet(X2,join(X3,X3)) = join(meet(X3,X2),meet(X3,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c80,plain,
join(meet(X3,X2),meet(X3,X2)) = meet(X3,X2),
inference(substitution,[status(thm)],[c76]) ).
cnf(c81,plain,
meet(X2,join(X3,X3)) = meet(X3,X2),
inference(transitivity,[status(thm)],[c79,c80]) ).
cnf(c82,plain,
meet(X2,X3) = meet(X3,X2),
inference(transitivity,[status(thm)],[c78,c81]) ).
cnf(c83,plain,
meet(join(X3,X4),join(X4,join(X3,X2))) = meet(join(X4,join(X3,X2)),join(X3,X4)),
inference(substitution,[status(thm)],[c82]) ).
cnf(c84,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c6]) ).
cnf(c85,plain,
X3 = meet(X3,join(X3,X2)),
inference(symmetry,[status(thm)],[c84]) ).
cnf(c86,plain,
join(X4,meet(X3,join(X4,X2))) = join(meet(X4,join(X4,X2)),meet(X3,join(X4,X2))),
inference(congruence,[status(thm)],[c85]) ).
cnf(c87,plain,
meet(join(X4,X2),join(X3,X4)) = join(meet(X4,join(X4,X2)),meet(X3,join(X4,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c88,plain,
join(meet(X4,join(X4,X2)),meet(X3,join(X4,X2))) = meet(join(X4,X2),join(X3,X4)),
inference(symmetry,[status(thm)],[c87]) ).
cnf(c89,plain,
join(X4,meet(X3,join(X4,X2))) = meet(join(X4,X2),join(X3,X4)),
inference(transitivity,[status(thm)],[c86,c88]) ).
cnf(c90,plain,
join(X4,meet(X3,join(X4,join(X3,X2)))) = meet(join(X4,join(X3,X2)),join(X3,X4)),
inference(substitution,[status(thm)],[c89]) ).
cnf(c91,plain,
meet(join(X4,join(X3,X2)),join(X3,X4)) = join(X4,meet(X3,join(X4,join(X3,X2)))),
inference(symmetry,[status(thm)],[c90]) ).
cnf(c92,plain,
join(X3,join(X4,X2)) = join(join(X4,X2),X3),
inference(substitution,[status(thm)],[c57]) ).
cnf(c93,plain,
meet(X4,join(X3,join(X4,X2))) = meet(X4,join(join(X4,X2),X3)),
inference(congruence,[status(thm)],[c92]) ).
cnf(c94,plain,
X2 = join(X2,X2),
inference(symmetry,[status(thm)],[c76]) ).
cnf(c95,plain,
meet(X4,join(join(X4,X2),X3)) = meet(join(X4,X4),join(join(X4,X2),X3)),
inference(congruence,[status(thm)],[c94]) ).
cnf(c96,plain,
meet(join(X4,X4),join(meet(join(X4,X2),join(X4,X4)),X3)) = meet(join(X4,X4),join(join(X4,X2),X3)),
inference(substitution,[status(thm)],[c21]) ).
cnf(c97,plain,
meet(join(X4,X4),join(join(X4,X2),X3)) = meet(join(X4,X4),join(meet(join(X4,X2),join(X4,X4)),X3)),
inference(symmetry,[status(thm)],[c96]) ).
cnf(c98,plain,
join(X3,meet(X3,join(X3,X2))) = meet(join(X3,X2),join(X3,X3)),
inference(substitution,[status(thm)],[c89]) ).
cnf(c99,plain,
meet(join(X3,X2),join(X3,X3)) = join(X3,meet(X3,join(X3,X2))),
inference(symmetry,[status(thm)],[c98]) ).
cnf(c100,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c6]) ).
cnf(c101,plain,
join(X3,meet(X3,join(X3,X2))) = join(X3,X3),
inference(congruence,[status(thm)],[c100]) ).
cnf(c102,plain,
meet(join(X3,X2),join(X3,X3)) = join(X3,X3),
inference(transitivity,[status(thm)],[c99,c101]) ).
cnf(c103,plain,
join(meet(join(X4,X2),join(X4,X4)),X3) = join(join(X4,X4),X3),
inference(congruence,[status(thm)],[c102]) ).
cnf(c104,plain,
meet(join(X4,X4),join(meet(join(X4,X2),join(X4,X4)),X3)) = meet(join(X4,X4),join(join(X4,X4),X3)),
inference(congruence,[status(thm)],[c103]) ).
cnf(c105,plain,
meet(join(X3,X3),join(join(X3,X3),X2)) = join(X3,X3),
inference(substitution,[status(thm)],[c6]) ).
cnf(c106,plain,
meet(join(X3,X3),join(join(X3,X3),X2)) = X3,
inference(transitivity,[status(thm)],[c105,c76]) ).
cnf(c107,plain,
meet(join(X4,X4),join(meet(join(X4,X2),join(X4,X4)),X3)) = X4,
inference(transitivity,[status(thm)],[c104,c106]) ).
cnf(c108,plain,
meet(join(X4,X4),join(join(X4,X2),X3)) = X4,
inference(transitivity,[status(thm)],[c97,c107]) ).
cnf(c109,plain,
meet(X4,join(join(X4,X2),X3)) = X4,
inference(transitivity,[status(thm)],[c95,c108]) ).
cnf(c110,plain,
meet(X4,join(X3,join(X4,X2))) = X4,
inference(transitivity,[status(thm)],[c93,c109]) ).
cnf(c111,plain,
meet(X3,join(X4,join(X3,X2))) = X3,
inference(substitution,[status(thm)],[c110]) ).
cnf(c112,plain,
join(X4,meet(X3,join(X4,join(X3,X2)))) = join(X4,X3),
inference(congruence,[status(thm)],[c111]) ).
cnf(c113,plain,
meet(join(X4,join(X3,X2)),join(X3,X4)) = join(X4,X3),
inference(transitivity,[status(thm)],[c91,c112]) ).
cnf(c114,plain,
meet(join(X3,X4),join(X4,join(X3,X2))) = join(X4,X3),
inference(transitivity,[status(thm)],[c83,c113]) ).
cnf(c115,plain,
meet(join(X4,X3),join(X4,join(X3,X2))) = join(X4,X3),
inference(transitivity,[status(thm)],[c65,c114]) ).
cnf(c116,plain,
meet(join(X2,X4),join(X2,join(X4,X3))) = join(X2,X4),
inference(substitution,[status(thm)],[c115]) ).
cnf(c117,plain,
join(X2,X4) = meet(join(X2,X4),join(X2,join(X4,X3))),
inference(symmetry,[status(thm)],[c116]) ).
cnf(c118,plain,
join(join(X4,X3),join(X2,X4)) = join(join(X4,X3),meet(join(X2,X4),join(X2,join(X4,X3)))),
inference(congruence,[status(thm)],[c117]) ).
cnf(c119,plain,
meet(X3,join(X2,X4)) = meet(X3,join(X4,X2)),
inference(congruence,[status(thm)],[c57]) ).
cnf(c120,plain,
join(X4,meet(X3,join(X2,X4))) = join(X4,meet(X3,join(X4,X2))),
inference(congruence,[status(thm)],[c119]) ).
cnf(c121,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c57]) ).
cnf(c122,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c121]) ).
cnf(c123,plain,
meet(join(X4,X2),join(X3,X4)) = meet(join(X4,X2),join(X4,X3)),
inference(congruence,[status(thm)],[c122]) ).
cnf(c124,plain,
join(X4,meet(X3,join(X4,X2))) = meet(join(X4,X2),join(X4,X3)),
inference(transitivity,[status(thm)],[c89,c123]) ).
cnf(c125,plain,
join(X4,meet(X3,join(X2,X4))) = meet(join(X4,X2),join(X4,X3)),
inference(transitivity,[status(thm)],[c120,c124]) ).
cnf(c126,plain,
join(join(X4,X3),meet(join(X2,X4),join(X2,join(X4,X3)))) = meet(join(join(X4,X3),X2),join(join(X4,X3),join(X2,X4))),
inference(substitution,[status(thm)],[c125]) ).
cnf(c127,plain,
meet(join(join(X4,X3),X2),join(join(X4,X3),join(X2,X4))) = join(join(X4,X3),X2),
inference(substitution,[status(thm)],[c115]) ).
cnf(c128,plain,
join(X2,join(X4,X3)) = join(join(X4,X3),X2),
inference(substitution,[status(thm)],[c57]) ).
cnf(c129,plain,
join(join(X4,X3),X2) = join(X2,join(X4,X3)),
inference(symmetry,[status(thm)],[c128]) ).
cnf(c130,plain,
meet(join(join(X4,X3),X2),join(join(X4,X3),join(X2,X4))) = join(X2,join(X4,X3)),
inference(transitivity,[status(thm)],[c127,c129]) ).
cnf(c131,plain,
join(join(X4,X3),meet(join(X2,X4),join(X2,join(X4,X3)))) = join(X2,join(X4,X3)),
inference(transitivity,[status(thm)],[c126,c130]) ).
cnf(c132,plain,
join(join(X4,X3),join(X2,X4)) = join(X2,join(X4,X3)),
inference(transitivity,[status(thm)],[c118,c131]) ).
cnf(c133,plain,
join(join(X4,X3),join(X4,X2)) = join(X2,join(X4,X3)),
inference(transitivity,[status(thm)],[c63,c132]) ).
cnf(c134,plain,
join(join(X2,X4),join(X2,X3)) = join(X3,join(X2,X4)),
inference(substitution,[status(thm)],[c133]) ).
cnf(c135,plain,
join(X3,join(X2,X4)) = join(join(X2,X4),join(X2,X3)),
inference(symmetry,[status(thm)],[c134]) ).
cnf(c136,plain,
meet(join(X3,X2),join(X3,X2)) = join(X3,X2),
inference(substitution,[status(thm)],[c41]) ).
cnf(c137,plain,
join(X3,X2) = meet(join(X3,X2),join(X3,X2)),
inference(symmetry,[status(thm)],[c136]) ).
cnf(c138,plain,
join(X3,join(X3,X2)) = join(X3,meet(join(X3,X2),join(X3,X2))),
inference(congruence,[status(thm)],[c137]) ).
cnf(c139,plain,
join(X3,meet(join(X3,X2),join(X3,X2))) = meet(join(X3,X2),join(join(X3,X2),X3)),
inference(substitution,[status(thm)],[c89]) ).
cnf(c140,plain,
meet(join(X3,X2),join(join(X3,X2),X3)) = join(X3,X2),
inference(substitution,[status(thm)],[c6]) ).
cnf(c141,plain,
join(X3,meet(join(X3,X2),join(X3,X2))) = join(X3,X2),
inference(transitivity,[status(thm)],[c139,c140]) ).
cnf(c142,plain,
join(X3,join(X3,X2)) = join(X3,X2),
inference(transitivity,[status(thm)],[c138,c141]) ).
cnf(c143,plain,
join(X2,join(X2,X3)) = join(X2,X3),
inference(substitution,[status(thm)],[c142]) ).
cnf(c144,plain,
join(X2,X3) = join(X2,join(X2,X3)),
inference(symmetry,[status(thm)],[c143]) ).
cnf(c145,plain,
join(join(X2,X4),join(X2,X3)) = join(join(X2,X4),join(X2,join(X2,X3))),
inference(congruence,[status(thm)],[c144]) ).
cnf(c146,plain,
join(join(X2,X4),join(X2,join(X2,X3))) = join(join(X2,X3),join(X2,X4)),
inference(substitution,[status(thm)],[c133]) ).
cnf(c147,plain,
join(join(X2,X3),join(X2,X4)) = join(X4,join(X2,X3)),
inference(substitution,[status(thm)],[c133]) ).
cnf(c148,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c57]) ).
cnf(c149,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c148]) ).
cnf(c150,plain,
join(X4,join(X2,X3)) = join(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c149]) ).
cnf(c151,plain,
join(join(X2,X3),join(X2,X4)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c147,c150]) ).
cnf(c152,plain,
join(join(X2,X4),join(X2,join(X2,X3))) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c146,c151]) ).
cnf(c153,plain,
join(join(X2,X4),join(X2,X3)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c145,c152]) ).
cnf(c154,plain,
join(X3,join(X2,X4)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c135,c153]) ).
cnf(c155,plain,
join(X3,join(X4,X2)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c61,c154]) ).
cnf(c156,plain,
join(a,join(c,b)) = join(c,join(a,b)),
inference(substitution,[status(thm)],[c155]) ).
cnf(c157,plain,
join(c,join(a,b)) = join(a,join(c,b)),
inference(symmetry,[status(thm)],[c156]) ).
cnf(c158,plain,
join(b,c) = join(c,b),
inference(substitution,[status(thm)],[c57]) ).
cnf(c159,plain,
join(c,b) = join(b,c),
inference(symmetry,[status(thm)],[c158]) ).
cnf(c160,plain,
join(a,join(c,b)) = join(a,join(b,c)),
inference(congruence,[status(thm)],[c159]) ).
cnf(c161,plain,
join(c,join(a,b)) = join(a,join(b,c)),
inference(transitivity,[status(thm)],[c157,c160]) ).
cnf(c162,plain,
join(join(a,b),c) = join(a,join(b,c)),
inference(transitivity,[status(thm)],[c59,c161]) ).
cnf(c163,plain,
$false,
inference(resolution,[status(thm)],[c1,c162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT007-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 13:56:01 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.48 Command-line arguments: --no-flatten-goal
% 0.14/0.48
% 0.14/0.48 % SZS status Unsatisfiable
% 0.14/0.48
% 0.49/0.48 % SZS output start CNFRefutation
% See solution above
% 0.49/0.55
% 0.49/0.55 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------