%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT012-1 : TPTP v9.3.1. Released v2.2.0.
% 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 11:42:49 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of clauses : 63 ( 63 unt; 0 nHn; 4 RR)
% Number of literals : 63 ( 62 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 154 ( 55 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
meet(b,a) != meet(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity_of_meet) ).
cnf(c2,axiom,
meet(meet(join(X,Y),join(Y,Z)),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mckenzie4) ).
cnf(c3,plain,
meet(meet(join(X3,meet(X5,X4)),join(meet(X5,X4),X2)),meet(X5,X4)) = meet(X5,X4),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
meet(X5,X4) = meet(meet(join(X3,meet(X5,X4)),join(meet(X5,X4),X2)),meet(X5,X4)),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
join(X5,meet(X5,X4)) = join(X5,meet(meet(join(X3,meet(X5,X4)),join(meet(X5,X4),X2)),meet(X5,X4))),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,axiom,
join(X2,meet(Y2,meet(X2,Z2))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mckenzie1) ).
cnf(c7,plain,
join(X5,meet(meet(join(X3,meet(X5,X4)),join(meet(X5,X4),X2)),meet(X5,X4))) = X5,
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,plain,
join(X3,meet(X3,X2)) = X3,
inference(transitivity,[status(thm)],[c5,c7]) ).
cnf(c9,plain,
X3 = join(X3,meet(X3,X2)),
inference(symmetry,[status(thm)],[c8]) ).
cnf(c10,plain,
join(meet(X3,X2),X3) = join(meet(X3,X2),join(X3,meet(X3,X2))),
inference(congruence,[status(thm)],[c9]) ).
cnf(c11,plain,
join(X4,meet(X3,meet(X4,X2))) = X4,
inference(substitution,[status(thm)],[c6]) ).
cnf(c12,plain,
X4 = join(X4,meet(X3,meet(X4,X2))),
inference(symmetry,[status(thm)],[c11]) ).
cnf(c13,plain,
join(X4,X5) = join(X4,join(X5,meet(X3,meet(X5,X2)))),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,plain,
meet(X5,join(X4,X5)) = meet(X5,join(X4,join(X5,meet(X3,meet(X5,X2))))),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,axiom,
meet(X2,join(Y2,join(X2,Z2))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mckenzie2) ).
cnf(c16,plain,
meet(X5,join(X4,join(X5,meet(X3,meet(X5,X2))))) = X5,
inference(substitution,[status(thm)],[c15]) ).
cnf(c17,plain,
meet(X3,join(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c14,c16]) ).
cnf(c18,plain,
X3 = meet(X3,join(X2,X3)),
inference(symmetry,[status(thm)],[c17]) ).
cnf(c19,plain,
join(X3,join(X2,X3)) = join(meet(X3,join(X2,X3)),join(X2,X3)),
inference(congruence,[status(thm)],[c18]) ).
cnf(c20,plain,
join(meet(X4,X3),meet(X3,meet(meet(X4,X3),X2))) = meet(X4,X3),
inference(substitution,[status(thm)],[c6]) ).
cnf(c21,plain,
meet(X4,X3) = join(meet(X4,X3),meet(X3,meet(meet(X4,X3),X2))),
inference(symmetry,[status(thm)],[c20]) ).
cnf(c22,plain,
join(meet(X4,X3),X3) = join(join(meet(X4,X3),meet(X3,meet(meet(X4,X3),X2))),X3),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,axiom,
join(join(meet(X2,Y2),meet(Y2,Z2)),Y2) = Y2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mckenzie3) ).
cnf(c24,plain,
join(join(meet(X4,X3),meet(X3,meet(meet(X4,X3),X2))),X3) = X3,
inference(substitution,[status(thm)],[c23]) ).
cnf(c25,plain,
join(meet(X3,X2),X2) = X2,
inference(transitivity,[status(thm)],[c22,c24]) ).
cnf(c26,plain,
join(meet(X3,join(X2,X3)),join(X2,X3)) = join(X2,X3),
inference(substitution,[status(thm)],[c25]) ).
cnf(c27,plain,
join(X3,join(X2,X3)) = join(X2,X3),
inference(transitivity,[status(thm)],[c19,c26]) ).
cnf(c28,plain,
join(meet(X3,X2),join(X3,meet(X3,X2))) = join(X3,meet(X3,X2)),
inference(substitution,[status(thm)],[c27]) ).
cnf(c29,plain,
join(meet(X3,X2),join(X3,meet(X3,X2))) = X3,
inference(transitivity,[status(thm)],[c28,c8]) ).
cnf(c30,plain,
join(meet(X3,X2),X3) = X3,
inference(transitivity,[status(thm)],[c10,c29]) ).
cnf(c31,plain,
join(meet(X2,X3),X2) = X2,
inference(substitution,[status(thm)],[c30]) ).
cnf(c32,plain,
X2 = join(meet(X2,X3),X2),
inference(symmetry,[status(thm)],[c31]) ).
cnf(c33,plain,
meet(X3,X2) = meet(X3,join(meet(X2,X3),X2)),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,plain,
meet(meet(X3,X2),meet(X2,X3)) = meet(meet(X3,join(meet(X2,X3),X2)),meet(X2,X3)),
inference(congruence,[status(thm)],[c33]) ).
cnf(c35,plain,
meet(X4,join(X3,join(X4,X2))) = X4,
inference(substitution,[status(thm)],[c15]) ).
cnf(c36,plain,
X4 = meet(X4,join(X3,join(X4,X2))),
inference(symmetry,[status(thm)],[c35]) ).
cnf(c37,plain,
meet(X4,X5) = meet(X4,meet(X5,join(X3,join(X5,X2)))),
inference(congruence,[status(thm)],[c36]) ).
cnf(c38,plain,
join(X5,meet(X4,X5)) = join(X5,meet(X4,meet(X5,join(X3,join(X5,X2))))),
inference(congruence,[status(thm)],[c37]) ).
cnf(c39,plain,
join(X5,meet(X4,meet(X5,join(X3,join(X5,X2))))) = X5,
inference(substitution,[status(thm)],[c6]) ).
cnf(c40,plain,
join(X3,meet(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c38,c39]) ).
cnf(c41,plain,
X3 = join(X3,meet(X2,X3)),
inference(symmetry,[status(thm)],[c40]) ).
cnf(c42,plain,
meet(X4,join(meet(X3,X4),X2)) = meet(join(X4,meet(X3,X4)),join(meet(X3,X4),X2)),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,plain,
meet(meet(X4,join(meet(X3,X4),X2)),meet(X3,X4)) = meet(meet(join(X4,meet(X3,X4)),join(meet(X3,X4),X2)),meet(X3,X4)),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,plain,
meet(meet(join(X4,meet(X3,X4)),join(meet(X3,X4),X2)),meet(X3,X4)) = meet(X3,X4),
inference(substitution,[status(thm)],[c2]) ).
cnf(c45,plain,
meet(meet(X4,join(meet(X3,X4),X2)),meet(X3,X4)) = meet(X3,X4),
inference(transitivity,[status(thm)],[c43,c44]) ).
cnf(c46,plain,
meet(meet(X3,join(meet(X2,X3),X2)),meet(X2,X3)) = meet(X2,X3),
inference(substitution,[status(thm)],[c45]) ).
cnf(c47,plain,
meet(meet(X3,X2),meet(X2,X3)) = meet(X2,X3),
inference(transitivity,[status(thm)],[c34,c46]) ).
cnf(c48,plain,
meet(meet(X2,X3),meet(X3,X2)) = meet(X3,X2),
inference(substitution,[status(thm)],[c47]) ).
cnf(c49,plain,
meet(X3,X2) = meet(meet(X2,X3),meet(X3,X2)),
inference(symmetry,[status(thm)],[c48]) ).
cnf(c50,plain,
X3 = join(X3,meet(X3,X2)),
inference(symmetry,[status(thm)],[c8]) ).
cnf(c51,plain,
meet(meet(X3,X2),X3) = meet(meet(X3,X2),join(X3,meet(X3,X2))),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,plain,
meet(meet(X3,X2),join(X3,meet(X3,X2))) = meet(X3,X2),
inference(substitution,[status(thm)],[c17]) ).
cnf(c53,plain,
meet(meet(X3,X2),X3) = meet(X3,X2),
inference(transitivity,[status(thm)],[c51,c52]) ).
cnf(c54,plain,
meet(meet(meet(X2,X3),meet(X3,X2)),meet(X2,X3)) = meet(meet(X2,X3),meet(X3,X2)),
inference(substitution,[status(thm)],[c53]) ).
cnf(c55,plain,
meet(meet(X2,X3),meet(X3,X2)) = meet(meet(meet(X2,X3),meet(X3,X2)),meet(X2,X3)),
inference(symmetry,[status(thm)],[c54]) ).
cnf(c56,plain,
meet(meet(X2,X3),meet(X3,X2)) = meet(X3,X2),
inference(substitution,[status(thm)],[c47]) ).
cnf(c57,plain,
meet(meet(meet(X2,X3),meet(X3,X2)),meet(X2,X3)) = meet(meet(X3,X2),meet(X2,X3)),
inference(congruence,[status(thm)],[c56]) ).
cnf(c58,plain,
meet(meet(meet(X2,X3),meet(X3,X2)),meet(X2,X3)) = meet(X2,X3),
inference(transitivity,[status(thm)],[c57,c47]) ).
cnf(c59,plain,
meet(meet(X2,X3),meet(X3,X2)) = meet(X2,X3),
inference(transitivity,[status(thm)],[c55,c58]) ).
cnf(c60,plain,
meet(X3,X2) = meet(X2,X3),
inference(transitivity,[status(thm)],[c49,c59]) ).
cnf(c61,plain,
meet(a,b) = meet(b,a),
inference(substitution,[status(thm)],[c60]) ).
cnf(c62,plain,
meet(b,a) = meet(a,b),
inference(symmetry,[status(thm)],[c61]) ).
cnf(c63,plain,
$false,
inference(resolution,[status(thm)],[c1,c62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT012-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 13:55:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48 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
% 0.18/0.48
% 0.18/0.48 % SZS status Unsatisfiable
% 0.18/0.48
% 0.18/0.49 % SZS output start CNFRefutation
% See solution above
% 0.18/0.51
% 0.18/0.51 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------