%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : LAT090-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 11:43:44 AM UTC 2026
% Result : Unsatisfiable 0.06s 0.34s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of clauses : 62 ( 62 unt; 0 nHn; 3 RR)
% Number of literals : 62 ( 61 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 129 ( 46 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
join(a,a) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms_3) ).
cnf(c2,axiom,
meet(meet(join(A,B),join(C,A)),A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_4) ).
cnf(c3,plain,
meet(meet(join(X3,X2),join(X,X3)),X3) = X3,
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
meet(X3,X3) = meet(meet(meet(join(X3,X2),join(X,X3)),X3),X3),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,plain,
meet(meet(join(X3,X2),join(X,X3)),X3) = X3,
inference(substitution,[status(thm)],[c2]) ).
cnf(c7,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),X3),X3) = meet(meet(meet(join(X3,X2),join(X,X3)),X3),meet(meet(join(X3,X2),join(X,X3)),X3)),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,plain,
meet(meet(join(X3,X2),join(X,X3)),X3) = X3,
inference(substitution,[status(thm)],[c2]) ).
cnf(c10,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,plain,
meet(meet(join(X3,X2),join(X,X3)),X3) = meet(meet(join(X3,X2),join(X,X3)),meet(meet(join(X3,X2),join(X,X3)),X3)),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),X3),meet(meet(join(X3,X2),join(X,X3)),X3)) = meet(meet(meet(join(X3,X2),join(X,X3)),meet(meet(join(X3,X2),join(X,X3)),X3)),meet(meet(join(X3,X2),join(X,X3)),X3)),
inference(congruence,[status(thm)],[c11]) ).
cnf(c13,axiom,
join(meet(A2,B2),meet(A2,join(A2,B2))) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_1) ).
cnf(c14,plain,
join(meet(X2,X),meet(X2,join(X2,X))) = X2,
inference(substitution,[status(thm)],[c13]) ).
cnf(c15,plain,
X2 = join(meet(X2,X),meet(X2,join(X2,X))),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c16,plain,
meet(X2,meet(X2,X)) = meet(join(meet(X2,X),meet(X2,join(X2,X))),meet(X2,X)),
inference(congruence,[status(thm)],[c15]) ).
cnf(c17,plain,
meet(meet(X2,meet(X2,X)),meet(X2,X)) = meet(meet(join(meet(X2,X),meet(X2,join(X2,X))),meet(X2,X)),meet(X2,X)),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,axiom,
join(join(meet(A2,B2),meet(C2,A2)),A2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_5) ).
cnf(c19,plain,
join(join(meet(X2,X),meet(X3,X2)),X2) = X2,
inference(substitution,[status(thm)],[c18]) ).
cnf(c20,plain,
X3 = join(join(meet(X3,X2),meet(X,X3)),X3),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c21,plain,
meet(join(X4,X3),X4) = meet(join(X4,X3),join(join(meet(X4,X2),meet(X,X4)),X4)),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
meet(meet(join(X4,X3),X4),X4) = meet(meet(join(X4,X3),join(join(meet(X4,X2),meet(X,X4)),X4)),X4),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,plain,
meet(meet(join(X4,X3),join(join(meet(X4,X2),meet(X,X4)),X4)),X4) = X4,
inference(substitution,[status(thm)],[c2]) ).
cnf(c24,plain,
meet(meet(join(X2,X),X2),X2) = X2,
inference(transitivity,[status(thm)],[c22,c23]) ).
cnf(c25,plain,
meet(meet(join(meet(X2,X),meet(X2,join(X2,X))),meet(X2,X)),meet(X2,X)) = meet(X2,X),
inference(substitution,[status(thm)],[c24]) ).
cnf(c26,plain,
meet(meet(X2,meet(X2,X)),meet(X2,X)) = meet(X2,X),
inference(transitivity,[status(thm)],[c17,c25]) ).
cnf(c27,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),meet(meet(join(X3,X2),join(X,X3)),X3)),meet(meet(join(X3,X2),join(X,X3)),X3)) = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(substitution,[status(thm)],[c26]) ).
cnf(c28,plain,
meet(meet(join(X3,X2),join(X,X3)),X3) = X3,
inference(substitution,[status(thm)],[c2]) ).
cnf(c29,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),meet(meet(join(X3,X2),join(X,X3)),X3)),meet(meet(join(X3,X2),join(X,X3)),X3)) = X3,
inference(transitivity,[status(thm)],[c27,c28]) ).
cnf(c30,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),X3),meet(meet(join(X3,X2),join(X,X3)),X3)) = X3,
inference(transitivity,[status(thm)],[c12,c29]) ).
cnf(c31,plain,
meet(meet(meet(join(X3,X2),join(X,X3)),X3),X3) = X3,
inference(transitivity,[status(thm)],[c8,c30]) ).
cnf(c32,plain,
meet(X,X) = X,
inference(transitivity,[status(thm)],[c5,c31]) ).
cnf(c33,plain,
X = meet(X,X),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c34,plain,
join(X,X) = join(X,meet(X,X)),
inference(congruence,[status(thm)],[c33]) ).
cnf(c35,plain,
meet(join(X,X),join(X,X)) = join(X,X),
inference(substitution,[status(thm)],[c32]) ).
cnf(c36,plain,
join(X,X) = meet(join(X,X),join(X,X)),
inference(symmetry,[status(thm)],[c35]) ).
cnf(c37,plain,
meet(join(X,X),X) = meet(meet(join(X,X),join(X,X)),X),
inference(congruence,[status(thm)],[c36]) ).
cnf(c38,plain,
meet(meet(join(X,X),join(X,X)),X) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c39,plain,
meet(join(X,X),X) = X,
inference(transitivity,[status(thm)],[c37,c38]) ).
cnf(c40,plain,
X = meet(join(X,X),X),
inference(symmetry,[status(thm)],[c39]) ).
cnf(c41,plain,
join(X,meet(X,X)) = join(meet(join(X,X),X),meet(X,X)),
inference(congruence,[status(thm)],[c40]) ).
cnf(c42,plain,
X = meet(X,X),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c43,plain,
join(X,X) = join(meet(X,X),X),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,plain,
join(join(X,X),X) = join(join(meet(X,X),X),X),
inference(congruence,[status(thm)],[c43]) ).
cnf(c45,plain,
meet(meet(join(X3,X2),join(X,X3)),X3) = X3,
inference(substitution,[status(thm)],[c2]) ).
cnf(c46,plain,
X3 = meet(meet(join(X3,X2),join(X,X3)),X3),
inference(symmetry,[status(thm)],[c45]) ).
cnf(c47,plain,
join(meet(X4,X3),X4) = join(meet(X4,X3),meet(meet(join(X4,X2),join(X,X4)),X4)),
inference(congruence,[status(thm)],[c46]) ).
cnf(c48,plain,
join(join(meet(X4,X3),X4),X4) = join(join(meet(X4,X3),meet(meet(join(X4,X2),join(X,X4)),X4)),X4),
inference(congruence,[status(thm)],[c47]) ).
cnf(c49,plain,
join(join(meet(X4,X3),meet(meet(join(X4,X2),join(X,X4)),X4)),X4) = X4,
inference(substitution,[status(thm)],[c18]) ).
cnf(c50,plain,
join(join(meet(X2,X),X2),X2) = X2,
inference(transitivity,[status(thm)],[c48,c49]) ).
cnf(c51,plain,
join(join(meet(X,X),X),X) = X,
inference(substitution,[status(thm)],[c50]) ).
cnf(c52,plain,
join(join(X,X),X) = X,
inference(transitivity,[status(thm)],[c44,c51]) ).
cnf(c53,plain,
X = join(join(X,X),X),
inference(symmetry,[status(thm)],[c52]) ).
cnf(c54,plain,
meet(X,X) = meet(X,join(join(X,X),X)),
inference(congruence,[status(thm)],[c53]) ).
cnf(c55,plain,
join(meet(join(X,X),X),meet(X,X)) = join(meet(join(X,X),X),meet(X,join(join(X,X),X))),
inference(congruence,[status(thm)],[c54]) ).
cnf(c56,axiom,
join(meet(A2,B2),meet(B2,join(A2,B2))) = B2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_3) ).
cnf(c57,plain,
join(meet(join(X,X),X),meet(X,join(join(X,X),X))) = X,
inference(substitution,[status(thm)],[c56]) ).
cnf(c58,plain,
join(meet(join(X,X),X),meet(X,X)) = X,
inference(transitivity,[status(thm)],[c55,c57]) ).
cnf(c59,plain,
join(X,meet(X,X)) = X,
inference(transitivity,[status(thm)],[c41,c58]) ).
cnf(c60,plain,
join(X,X) = X,
inference(transitivity,[status(thm)],[c34,c59]) ).
cnf(c61,plain,
join(a,a) = a,
inference(substitution,[status(thm)],[c60]) ).
cnf(c62,plain,
$false,
inference(resolution,[status(thm)],[c1,c61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT090-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sun Sep 27 14:00:19 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.29 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.34 Command-line arguments: --no-flatten-goal
% 0.06/0.34
% 0.06/0.34 % SZS status Unsatisfiable
% 0.06/0.34
% 0.06/0.34 % SZS output start CNFRefutation
% See solution above
% 0.06/0.36
% 0.06/0.36 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------