%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT008-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 11:42:49 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.44s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 3
% Syntax : Number of clauses : 79 ( 79 unt; 0 nHn; 7 RR)
% Number of literals : 79 ( 78 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 164 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
join(a,meet(a,b)) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_absorbtion_dual) ).
cnf(c2,axiom,
meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption) ).
cnf(c3,plain,
meet(X3,join(X3,meet(X2,X3))) = X3,
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
X3 = meet(X3,join(X3,meet(X2,X3))),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
join(X3,X3) = join(X3,meet(X3,join(X3,meet(X2,X3)))),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,axiom,
meet(X2,join(Y2,Z)) = join(meet(Z,X2),meet(Y2,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribution) ).
cnf(c7,plain,
meet(X3,join(X2,X4)) = join(meet(X4,X3),meet(X2,X3)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,plain,
meet(X4,meet(X4,join(X3,X2))) = meet(X4,join(meet(X2,X4),meet(X3,X4))),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,plain,
meet(X4,join(meet(X3,X4),X2)) = join(meet(X2,X4),meet(meet(X3,X4),X4)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c10,plain,
meet(X2,join(X2,X3)) = X2,
inference(substitution,[status(thm)],[c2]) ).
cnf(c11,plain,
X2 = meet(X2,join(X2,X3)),
inference(symmetry,[status(thm)],[c10]) ).
cnf(c12,plain,
meet(meet(X3,X2),X2) = meet(meet(X3,X2),meet(X2,join(X2,X3))),
inference(congruence,[status(thm)],[c11]) ).
cnf(c13,plain,
meet(X3,join(X2,X4)) = join(meet(X4,X3),meet(X2,X3)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c14,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)],[c13]) ).
cnf(c15,plain,
meet(meet(X4,X3),join(meet(X4,X3),meet(X2,X3))) = meet(X4,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c16,plain,
meet(meet(X4,X3),meet(X3,join(X2,X4))) = meet(X4,X3),
inference(transitivity,[status(thm)],[c14,c15]) ).
cnf(c17,plain,
meet(meet(X3,X2),meet(X2,join(X2,X3))) = meet(X3,X2),
inference(substitution,[status(thm)],[c16]) ).
cnf(c18,plain,
meet(meet(X3,X2),X2) = meet(X3,X2),
inference(transitivity,[status(thm)],[c12,c17]) ).
cnf(c19,plain,
meet(meet(X2,X3),X3) = meet(X2,X3),
inference(substitution,[status(thm)],[c18]) ).
cnf(c20,plain,
join(meet(X2,X4),meet(meet(X3,X4),X4)) = join(meet(X2,X4),meet(X3,X4)),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,plain,
meet(X4,join(X3,X2)) = join(meet(X2,X4),meet(X3,X4)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c22,plain,
join(meet(X2,X4),meet(X3,X4)) = meet(X4,join(X3,X2)),
inference(symmetry,[status(thm)],[c21]) ).
cnf(c23,plain,
join(meet(X2,X4),meet(meet(X3,X4),X4)) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c20,c22]) ).
cnf(c24,plain,
meet(X4,join(meet(X3,X4),X2)) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c9,c23]) ).
cnf(c25,plain,
meet(X4,join(meet(X2,X4),meet(X3,X4))) = meet(X4,join(X2,meet(X3,X4))),
inference(substitution,[status(thm)],[c24]) ).
cnf(c26,plain,
meet(X4,join(X3,meet(X2,X4))) = join(meet(meet(X2,X4),X4),meet(X3,X4)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c27,plain,
meet(meet(X2,X3),X3) = meet(X2,X3),
inference(substitution,[status(thm)],[c18]) ).
cnf(c28,plain,
join(meet(meet(X2,X4),X4),meet(X3,X4)) = join(meet(X2,X4),meet(X3,X4)),
inference(congruence,[status(thm)],[c27]) ).
cnf(c29,plain,
meet(X4,join(X3,X2)) = join(meet(X2,X4),meet(X3,X4)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c30,plain,
join(meet(X2,X4),meet(X3,X4)) = meet(X4,join(X3,X2)),
inference(symmetry,[status(thm)],[c29]) ).
cnf(c31,plain,
join(meet(meet(X2,X4),X4),meet(X3,X4)) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c28,c30]) ).
cnf(c32,plain,
meet(X4,join(X3,meet(X2,X4))) = meet(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c26,c31]) ).
cnf(c33,plain,
meet(X4,join(X2,meet(X3,X4))) = meet(X4,join(X2,X3)),
inference(substitution,[status(thm)],[c32]) ).
cnf(c34,plain,
meet(X4,join(meet(X2,X4),meet(X3,X4))) = meet(X4,join(X2,X3)),
inference(transitivity,[status(thm)],[c25,c33]) ).
cnf(c35,plain,
meet(X4,meet(X4,join(X3,X2))) = meet(X4,join(X2,X3)),
inference(transitivity,[status(thm)],[c8,c34]) ).
cnf(c36,plain,
meet(X3,meet(X3,join(X3,X2))) = meet(X3,join(X2,X3)),
inference(substitution,[status(thm)],[c35]) ).
cnf(c37,plain,
meet(X3,join(X2,X3)) = meet(X3,meet(X3,join(X3,X2))),
inference(symmetry,[status(thm)],[c36]) ).
cnf(c38,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c2]) ).
cnf(c39,plain,
meet(X3,meet(X3,join(X3,X2))) = meet(X3,X3),
inference(congruence,[status(thm)],[c38]) ).
cnf(c40,plain,
meet(X3,join(X2,X3)) = meet(X3,X3),
inference(transitivity,[status(thm)],[c37,c39]) ).
cnf(c41,plain,
meet(X2,join(X2,X2)) = meet(X2,X2),
inference(substitution,[status(thm)],[c40]) ).
cnf(c42,plain,
meet(X2,X2) = meet(X2,join(X2,X2)),
inference(symmetry,[status(thm)],[c41]) ).
cnf(c43,plain,
meet(X2,join(X2,X2)) = X2,
inference(substitution,[status(thm)],[c2]) ).
cnf(c44,plain,
meet(X2,X2) = X2,
inference(transitivity,[status(thm)],[c42,c43]) ).
cnf(c45,plain,
X2 = meet(X2,X2),
inference(symmetry,[status(thm)],[c44]) ).
cnf(c46,plain,
join(X3,meet(X2,X3)) = join(meet(X3,X3),meet(X2,X3)),
inference(congruence,[status(thm)],[c45]) ).
cnf(c47,plain,
meet(X3,join(X2,X3)) = join(meet(X3,X3),meet(X2,X3)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c48,plain,
join(meet(X3,X3),meet(X2,X3)) = meet(X3,join(X2,X3)),
inference(symmetry,[status(thm)],[c47]) ).
cnf(c49,plain,
meet(X3,join(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c40,c44]) ).
cnf(c50,plain,
join(meet(X3,X3),meet(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c48,c49]) ).
cnf(c51,plain,
join(X3,meet(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c46,c50]) ).
cnf(c52,plain,
X3 = join(X3,meet(X2,X3)),
inference(symmetry,[status(thm)],[c51]) ).
cnf(c53,plain,
meet(X3,join(X3,meet(X2,X3))) = meet(join(X3,meet(X2,X3)),join(X3,meet(X2,X3))),
inference(congruence,[status(thm)],[c52]) ).
cnf(c54,plain,
join(X3,meet(X3,join(X3,meet(X2,X3)))) = join(X3,meet(join(X3,meet(X2,X3)),join(X3,meet(X2,X3)))),
inference(congruence,[status(thm)],[c53]) ).
cnf(c55,plain,
meet(join(X4,X3),join(X2,X4)) = join(meet(X4,join(X4,X3)),meet(X2,join(X4,X3))),
inference(substitution,[status(thm)],[c6]) ).
cnf(c56,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c2]) ).
cnf(c57,plain,
join(meet(X4,join(X4,X3)),meet(X2,join(X4,X3))) = join(X4,meet(X2,join(X4,X3))),
inference(congruence,[status(thm)],[c56]) ).
cnf(c58,plain,
meet(join(X4,X3),join(X2,X4)) = join(X4,meet(X2,join(X4,X3))),
inference(transitivity,[status(thm)],[c55,c57]) ).
cnf(c59,plain,
meet(join(X3,X2),join(join(X3,X2),X3)) = join(X3,meet(join(X3,X2),join(X3,X2))),
inference(substitution,[status(thm)],[c58]) ).
cnf(c60,plain,
join(X3,meet(join(X3,X2),join(X3,X2))) = meet(join(X3,X2),join(join(X3,X2),X3)),
inference(symmetry,[status(thm)],[c59]) ).
cnf(c61,plain,
meet(join(X3,X2),join(join(X3,X2),X3)) = join(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c62,plain,
join(X3,meet(join(X3,X2),join(X3,X2))) = join(X3,X2),
inference(transitivity,[status(thm)],[c60,c61]) ).
cnf(c63,plain,
join(X3,meet(join(X3,meet(X2,X3)),join(X3,meet(X2,X3)))) = join(X3,meet(X2,X3)),
inference(substitution,[status(thm)],[c62]) ).
cnf(c64,plain,
join(X3,meet(join(X3,meet(X2,X3)),join(X3,meet(X2,X3)))) = X3,
inference(transitivity,[status(thm)],[c63,c51]) ).
cnf(c65,plain,
join(X3,meet(X3,join(X3,meet(X2,X3)))) = X3,
inference(transitivity,[status(thm)],[c54,c64]) ).
cnf(c66,plain,
join(X2,X2) = X2,
inference(transitivity,[status(thm)],[c5,c65]) ).
cnf(c67,plain,
join(meet(X2,X3),meet(X2,X3)) = meet(X2,X3),
inference(substitution,[status(thm)],[c66]) ).
cnf(c68,plain,
meet(X2,X3) = join(meet(X2,X3),meet(X2,X3)),
inference(symmetry,[status(thm)],[c67]) ).
cnf(c69,plain,
meet(X3,join(X2,X2)) = join(meet(X2,X3),meet(X2,X3)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c70,plain,
join(meet(X2,X3),meet(X2,X3)) = meet(X3,join(X2,X2)),
inference(symmetry,[status(thm)],[c69]) ).
cnf(c71,plain,
meet(X3,join(X2,X2)) = meet(X3,X2),
inference(congruence,[status(thm)],[c66]) ).
cnf(c72,plain,
join(meet(X2,X3),meet(X2,X3)) = meet(X3,X2),
inference(transitivity,[status(thm)],[c70,c71]) ).
cnf(c73,plain,
meet(X2,X3) = meet(X3,X2),
inference(transitivity,[status(thm)],[c68,c72]) ).
cnf(c74,plain,
meet(b,a) = meet(a,b),
inference(substitution,[status(thm)],[c73]) ).
cnf(c75,plain,
meet(a,b) = meet(b,a),
inference(symmetry,[status(thm)],[c74]) ).
cnf(c76,plain,
join(a,meet(a,b)) = join(a,meet(b,a)),
inference(congruence,[status(thm)],[c75]) ).
cnf(c77,plain,
join(a,meet(b,a)) = a,
inference(substitution,[status(thm)],[c51]) ).
cnf(c78,plain,
join(a,meet(a,b)) = a,
inference(transitivity,[status(thm)],[c76,c77]) ).
cnf(c79,plain,
$false,
inference(resolution,[status(thm)],[c1,c78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT008-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n006.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 13:55:55 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.12/0.36 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.44 Command-line arguments: --no-flatten-goal
% 0.12/0.44
% 0.12/0.44 % SZS status Unsatisfiable
% 0.12/0.44
% 0.12/0.45 % SZS output start CNFRefutation
% See solution above
% 0.42/0.48
% 0.42/0.48 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------