%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT171-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 11:44:29 AM UTC 2026
% Result : Unsatisfiable 11.15s 7.06s
% Output : CNFRefutation 12.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of clauses : 76 ( 76 unt; 0 nHn; 4 RR)
% Number of literals : 76 ( 75 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 204 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H6) ).
cnf(c2,axiom,
meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
cnf(c3,plain,
meet(join(X4,X3),X2) = meet(X2,join(X4,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
meet(X2,join(X4,X3)) = meet(join(X4,X3),X2),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
join(meet(X4,join(X3,meet(X4,X5))),meet(X2,join(X4,X3))) = join(meet(X4,join(X3,meet(X4,X5))),meet(join(X4,X3),X2)),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,plain,
meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(X2,join(X5,X4)))) = meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(join(X5,X4),X2))),
inference(congruence,[status(thm)],[c5]) ).
cnf(c7,axiom,
join(X2,Y2) = join(Y2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
cnf(c8,plain,
join(join(X4,X2),X3) = join(X3,join(X4,X2)),
inference(substitution,[status(thm)],[c7]) ).
cnf(c9,plain,
join(X3,join(X4,X2)) = join(join(X4,X2),X3),
inference(symmetry,[status(thm)],[c8]) ).
cnf(c10,axiom,
join(join(X2,Y2),Z) = join(X2,join(Y2,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
cnf(c11,plain,
join(join(X4,X2),X3) = join(X4,join(X2,X3)),
inference(substitution,[status(thm)],[c10]) ).
cnf(c12,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c7]) ).
cnf(c13,plain,
join(X4,join(X2,X3)) = join(X4,join(X3,X2)),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,plain,
join(join(X4,X2),X3) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c11,c13]) ).
cnf(c15,plain,
join(X3,join(X4,X2)) = join(X4,join(X3,X2)),
inference(transitivity,[status(thm)],[c9,c14]) ).
cnf(c16,plain,
join(X4,join(X3,meet(X4,X2))) = join(X3,join(X4,meet(X4,X2))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c17,axiom,
join(X2,meet(X2,Y2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
cnf(c18,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
join(X3,join(X4,meet(X4,X2))) = join(X3,X4),
inference(congruence,[status(thm)],[c18]) ).
cnf(c20,plain,
join(X2,X3) = join(X3,X2),
inference(substitution,[status(thm)],[c7]) ).
cnf(c21,plain,
join(X3,join(X4,meet(X4,X2))) = join(X4,X3),
inference(transitivity,[status(thm)],[c19,c20]) ).
cnf(c22,plain,
join(X4,join(X3,meet(X4,X2))) = join(X4,X3),
inference(transitivity,[status(thm)],[c16,c21]) ).
cnf(c23,plain,
join(X4,X3) = join(X4,join(X3,meet(X4,X2))),
inference(symmetry,[status(thm)],[c22]) ).
cnf(c24,plain,
meet(join(X5,X4),X2) = meet(join(X5,join(X4,meet(X5,X3))),X2),
inference(congruence,[status(thm)],[c23]) ).
cnf(c25,plain,
join(meet(X5,join(X4,meet(X5,X3))),meet(join(X5,X4),X2)) = join(meet(X5,join(X4,meet(X5,X3))),meet(join(X5,join(X4,meet(X5,X3))),X2)),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(join(X5,X4),X2))) = meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(join(X5,join(X4,meet(X5,X3))),X2))),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,axiom,
join(meet(X2,Y2),meet(X2,Z2)) = meet(X2,join(meet(X2,Y2),meet(join(X2,Y2),Z2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H61_dual) ).
cnf(c28,plain,
join(meet(X5,join(X4,meet(X5,X3))),meet(X5,X2)) = meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(join(X5,join(X4,meet(X5,X3))),X2))),
inference(substitution,[status(thm)],[c27]) ).
cnf(c29,plain,
meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(join(X5,join(X4,meet(X5,X3))),X2))) = join(meet(X5,join(X4,meet(X5,X3))),meet(X5,X2)),
inference(symmetry,[status(thm)],[c28]) ).
cnf(c30,plain,
meet(X3,X2) = meet(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c31,plain,
join(meet(X5,join(X4,meet(X5,X3))),meet(X5,X2)) = join(meet(X5,join(X4,meet(X5,X3))),meet(X2,X5)),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(join(X5,join(X4,meet(X5,X3))),X2))) = join(meet(X5,join(X4,meet(X5,X3))),meet(X2,X5)),
inference(transitivity,[status(thm)],[c29,c31]) ).
cnf(c33,plain,
meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(join(X5,X4),X2))) = join(meet(X5,join(X4,meet(X5,X3))),meet(X2,X5)),
inference(transitivity,[status(thm)],[c26,c32]) ).
cnf(c34,plain,
meet(X5,join(meet(X5,join(X4,meet(X5,X3))),meet(X2,join(X5,X4)))) = join(meet(X5,join(X4,meet(X5,X3))),meet(X2,X5)),
inference(transitivity,[status(thm)],[c6,c33]) ).
cnf(c35,plain,
meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))) = join(meet(X4,join(X3,meet(X4,X2))),meet(X2,X4)),
inference(substitution,[status(thm)],[c34]) ).
cnf(c36,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c37,plain,
join(meet(X4,join(X3,meet(X4,X2))),meet(X2,X4)) = join(meet(X4,join(X3,meet(X4,X2))),meet(X4,X2)),
inference(congruence,[status(thm)],[c36]) ).
cnf(c38,plain,
meet(meet(X4,X2),meet(X4,join(X3,meet(X4,X2)))) = meet(meet(X4,join(X3,meet(X4,X2))),meet(X4,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c39,plain,
meet(meet(X4,join(X3,meet(X4,X2))),meet(X4,X2)) = meet(meet(X4,X2),meet(X4,join(X3,meet(X4,X2)))),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c40,plain,
meet(meet(X4,X2),X3) = meet(X3,meet(X4,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c41,plain,
meet(X3,meet(X4,X2)) = meet(meet(X4,X2),X3),
inference(symmetry,[status(thm)],[c40]) ).
cnf(c42,axiom,
meet(meet(X2,Y2),Z2) = meet(X2,meet(Y2,Z2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
cnf(c43,plain,
meet(meet(X4,X2),X3) = meet(X4,meet(X2,X3)),
inference(substitution,[status(thm)],[c42]) ).
cnf(c44,plain,
meet(X2,X3) = meet(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c45,plain,
meet(X4,meet(X2,X3)) = meet(X4,meet(X3,X2)),
inference(congruence,[status(thm)],[c44]) ).
cnf(c46,plain,
meet(meet(X4,X2),X3) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c43,c45]) ).
cnf(c47,plain,
meet(X3,meet(X4,X2)) = meet(X4,meet(X3,X2)),
inference(transitivity,[status(thm)],[c41,c46]) ).
cnf(c48,plain,
meet(meet(X4,X2),meet(X4,join(X3,meet(X4,X2)))) = meet(X4,meet(meet(X4,X2),join(X3,meet(X4,X2)))),
inference(substitution,[status(thm)],[c47]) ).
cnf(c49,plain,
join(X3,X2) = join(X2,X3),
inference(substitution,[status(thm)],[c7]) ).
cnf(c50,plain,
join(X2,X3) = join(X3,X2),
inference(symmetry,[status(thm)],[c49]) ).
cnf(c51,plain,
meet(X3,join(X2,X3)) = meet(X3,join(X3,X2)),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,axiom,
meet(X2,join(X2,Y2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
cnf(c53,plain,
meet(X3,join(X3,X2)) = X3,
inference(substitution,[status(thm)],[c52]) ).
cnf(c54,plain,
meet(X3,join(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c51,c53]) ).
cnf(c55,plain,
meet(meet(X4,X2),join(X3,meet(X4,X2))) = meet(X4,X2),
inference(substitution,[status(thm)],[c54]) ).
cnf(c56,plain,
meet(X4,meet(meet(X4,X2),join(X3,meet(X4,X2)))) = meet(X4,meet(X4,X2)),
inference(congruence,[status(thm)],[c55]) ).
cnf(c57,plain,
meet(meet(X3,X2),X3) = meet(X3,meet(X3,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c58,plain,
meet(X3,meet(X3,X2)) = meet(meet(X3,X2),X3),
inference(symmetry,[status(thm)],[c57]) ).
cnf(c59,plain,
join(X3,meet(X3,X2)) = X3,
inference(substitution,[status(thm)],[c17]) ).
cnf(c60,plain,
X3 = join(X3,meet(X3,X2)),
inference(symmetry,[status(thm)],[c59]) ).
cnf(c61,plain,
meet(meet(X3,X2),X3) = meet(meet(X3,X2),join(X3,meet(X3,X2))),
inference(congruence,[status(thm)],[c60]) ).
cnf(c62,plain,
meet(meet(X3,X2),join(X3,meet(X3,X2))) = meet(X3,X2),
inference(substitution,[status(thm)],[c54]) ).
cnf(c63,plain,
meet(meet(X3,X2),X3) = meet(X3,X2),
inference(transitivity,[status(thm)],[c61,c62]) ).
cnf(c64,plain,
meet(X3,meet(X3,X2)) = meet(X3,X2),
inference(transitivity,[status(thm)],[c58,c63]) ).
cnf(c65,plain,
meet(X4,meet(meet(X4,X2),join(X3,meet(X4,X2)))) = meet(X4,X2),
inference(transitivity,[status(thm)],[c56,c64]) ).
cnf(c66,plain,
meet(meet(X4,X2),meet(X4,join(X3,meet(X4,X2)))) = meet(X4,X2),
inference(transitivity,[status(thm)],[c48,c65]) ).
cnf(c67,plain,
meet(meet(X4,join(X3,meet(X4,X2))),meet(X4,X2)) = meet(X4,X2),
inference(transitivity,[status(thm)],[c39,c66]) ).
cnf(c68,plain,
meet(X4,X2) = meet(meet(X4,join(X3,meet(X4,X2))),meet(X4,X2)),
inference(symmetry,[status(thm)],[c67]) ).
cnf(c69,plain,
join(meet(X4,join(X3,meet(X4,X2))),meet(X4,X2)) = join(meet(X4,join(X3,meet(X4,X2))),meet(meet(X4,join(X3,meet(X4,X2))),meet(X4,X2))),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,plain,
join(meet(X4,join(X3,meet(X4,X2))),meet(meet(X4,join(X3,meet(X4,X2))),meet(X4,X2))) = meet(X4,join(X3,meet(X4,X2))),
inference(substitution,[status(thm)],[c17]) ).
cnf(c71,plain,
join(meet(X4,join(X3,meet(X4,X2))),meet(X4,X2)) = meet(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c69,c70]) ).
cnf(c72,plain,
join(meet(X4,join(X3,meet(X4,X2))),meet(X2,X4)) = meet(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c37,c71]) ).
cnf(c73,plain,
meet(X4,join(meet(X4,join(X3,meet(X4,X2))),meet(X2,join(X4,X3)))) = meet(X4,join(X3,meet(X4,X2))),
inference(transitivity,[status(thm)],[c35,c72]) ).
cnf(c74,plain,
meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) = meet(a,join(b,meet(a,c))),
inference(substitution,[status(thm)],[c73]) ).
cnf(c75,plain,
meet(a,join(b,meet(a,c))) = meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))),
inference(symmetry,[status(thm)],[c74]) ).
cnf(c76,plain,
$false,
inference(resolution,[status(thm)],[c1,c75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT171-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.44 % Computer : n017.cluster.edu
% 0.15/5.44 % Model : x86_64 x86_64
% 0.15/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.44 % Memory : 8046.5625MB
% 0.15/5.44 % OS : Linux 6.8.0-71-generic
% 0.15/5.44 % CPULimit : 300
% 0.15/5.44 % WCLimit : 300
% 0.15/5.44 % DateTime : Sun Sep 27 13:59:55 UTC 2026
% 0.15/5.44 % CPUTime :
% 0.15/5.44 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.15/7.06 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
% 11.15/7.06
% 11.15/7.06 % SZS status Unsatisfiable
% 11.15/7.06
% 11.15/7.07 % SZS output start CNFRefutation
% See solution above
% 12.50/7.14
% 12.50/7.14 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------