TIMEOUT

The TRS could not be proven terminating. The proof attempt took 60000 ms.

The following DP Processors were used


Problem 1 was processed with processor DependencyGraph (59ms).
 | – Problem 2 was processed with processor PolynomialLinearRange4iUR (1654ms).
 |    | – Problem 3 was processed with processor PolynomialLinearRange8NegiUR (10911ms).
 |    |    | – Problem 4 was processed with processor ForwardNarrowing (5ms).
 |    |    |    | – Problem 5 was processed with processor ForwardNarrowing (2ms).
 |    |    |    |    | – Problem 6 was processed with processor ForwardNarrowing (2ms).
 |    |    |    |    |    | – Problem 7 was processed with processor ForwardNarrowing (4ms).
 |    |    |    |    |    |    | – Problem 8 was processed with processor ForwardNarrowing (44ms).
 |    |    |    |    |    |    |    | – Problem 9 was processed with processor ForwardNarrowing (5ms).
 |    |    |    |    |    |    |    |    | – Problem 10 was processed with processor ForwardNarrowing (3ms).
 |    |    |    |    |    |    |    |    |    | – Problem 11 was processed with processor ForwardNarrowing (6ms).
 |    |    |    |    |    |    |    |    |    |    | – Problem 12 was processed with processor ForwardNarrowing (5ms).
 |    |    |    |    |    |    |    |    |    |    |    | – Problem 13 was processed with processor ForwardNarrowing (8ms).
 |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 14 was processed with processor ForwardNarrowing (7ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 15 was processed with processor ForwardNarrowing (7ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 16 was processed with processor ForwardNarrowing (37ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 17 was processed with processor ForwardNarrowing (11ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 18 was processed with processor ForwardNarrowing (8ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 19 was processed with processor ForwardNarrowing (12ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 20 was processed with processor ForwardNarrowing (11ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 21 was processed with processor ForwardNarrowing (12ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 22 was processed with processor ForwardNarrowing (7ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 23 was processed with processor ForwardNarrowing (7ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 24 was processed with processor ForwardNarrowing (54ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 25 was processed with processor ForwardNarrowing (91ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 26 was processed with processor ForwardNarrowing (75ms).
 |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    |    | – Problem 27 remains open; application of the following processors failed [ForwardNarrowing (126ms), ForwardNarrowing (60ms), ForwardNarrowing (122ms), ForwardNarrowing (60ms), ForwardNarrowing (132ms), ForwardNarrowing (62ms), ForwardNarrowing (44ms), ForwardNarrowing (32ms), ForwardNarrowing (65ms), ForwardNarrowing (36ms), ForwardNarrowing (40ms), ForwardNarrowing (36ms), ForwardNarrowing (31ms), ForwardNarrowing (36ms), ForwardNarrowing (122ms), ForwardNarrowing (51ms), ForwardNarrowing (67ms), ForwardNarrowing (77ms), ForwardNarrowing (72ms), ForwardNarrowing (71ms), ForwardNarrowing (72ms), ForwardNarrowing (39ms), ForwardNarrowing (38ms), ForwardNarrowing (67ms), ForwardNarrowing (51ms), ForwardNarrowing (131ms), ForwardNarrowing (40ms), ForwardNarrowing (42ms), ForwardNarrowing (73ms), ForwardNarrowing (78ms), ForwardNarrowing (40ms), ForwardNarrowing (71ms), ForwardNarrowing (71ms), ForwardNarrowing (67ms), ForwardNarrowing (45ms), ForwardNarrowing (46ms), ForwardNarrowing (133ms), ForwardNarrowing (51ms), ForwardNarrowing (130ms), ForwardNarrowing (46ms), ForwardNarrowing (130ms), ForwardNarrowing (51ms), ForwardNarrowing (141ms), ForwardNarrowing (52ms), ForwardNarrowing (133ms), ForwardNarrowing (46ms), ForwardNarrowing (133ms), ForwardNarrowing (53ms), ForwardNarrowing (timeout)].

The following open problems remain:

Open Dependency Pair Problem 4

Dependency Pairs

incr#(cons(X, L)) → activate#(L)activate#(n__incr(X)) → incr#(activate(X))
activate#(n__adx(X)) → adx#(activate(X))adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, nil, cons

Problem 1: DependencyGraph

Dependency Pair Problem

Dependency Pairs

activate#(n__zeros) → zeros#adx#(cons(X, L)) → activate#(L)
incr#(cons(X, L)) → activate#(L)activate#(n__incr(X)) → incr#(activate(X))
nats# → zeros#activate#(n__adx(X)) → adx#(activate(X))
tail#(cons(X, L)) → activate#(L)activate#(n__incr(X)) → activate#(X)
adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))activate#(n__adx(X)) → activate#(X)
nats# → adx#(zeros)

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, cons, nil

Strategy

The following SCCs where found

adx#(cons(X, L)) → activate#(L)incr#(cons(X, L)) → activate#(L)
activate#(n__incr(X)) → incr#(activate(X))activate#(n__adx(X)) → adx#(activate(X))
activate#(n__incr(X)) → activate#(X)adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))
activate#(n__adx(X)) → activate#(X)

Problem 2: PolynomialLinearRange4iUR

Dependency Pair Problem

Dependency Pairs

adx#(cons(X, L)) → activate#(L)incr#(cons(X, L)) → activate#(L)
activate#(n__incr(X)) → incr#(activate(X))activate#(n__adx(X)) → adx#(activate(X))
activate#(n__incr(X)) → activate#(X)adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))
activate#(n__adx(X)) → activate#(X)

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, cons, nil

Strategy

Polynomial Interpretation

Improved Usable rules

activate(n__zeros) → zerosactivate(n__incr(X)) → incr(activate(X))
zeros → cons(0, n__zeros)activate(X) → X
activate(n__adx(X)) → adx(activate(X))incr(X) → n__incr(X)
adx(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))zeros → n__zeros
incr(nil) → niladx(X) → n__adx(X)

The following dependency pairs are strictly oriented by an ordering on the given polynomial interpretation, thus they are removed:

adx#(cons(X, L)) → activate#(L)activate#(n__adx(X)) → activate#(X)

Problem 3: PolynomialLinearRange8NegiUR

Dependency Pair Problem

Dependency Pairs

incr#(cons(X, L)) → activate#(L)activate#(n__incr(X)) → incr#(activate(X))
activate#(n__adx(X)) → adx#(activate(X))activate#(n__incr(X)) → activate#(X)
adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, nil, cons

Strategy

Polynomial Interpretation

Improved Usable rules

activate(n__zeros) → zerosactivate(n__incr(X)) → incr(activate(X))
zeros → cons(0, n__zeros)activate(X) → X
activate(n__adx(X)) → adx(activate(X))incr(X) → n__incr(X)
adx(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))zeros → n__zeros
incr(nil) → niladx(X) → n__adx(X)

The following dependency pairs are strictly oriented by an ordering on the given polynomial interpretation, thus they are removed:

activate#(n__incr(X)) → activate#(X)

Problem 4: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

incr#(cons(X, L)) → activate#(L)activate#(n__incr(X)) → incr#(activate(X))
activate#(n__adx(X)) → adx#(activate(X))adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, cons, nil

Strategy

The right-hand side of the rule activate#(n__incr(X)) → incr#(activate(X)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
incr#(zeros) 
incr#(_x21) 
incr#(incr(activate(_x21))) 
incr#(adx(activate(_x21))) 
Thus, the rule activate#(n__incr(X)) → incr#(activate(X)) is replaced by the following rules:
activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))activate#(n__incr(n__zeros)) → incr#(zeros)
activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))activate#(n__incr(_x21)) → incr#(_x21)

Problem 5: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

incr#(cons(X, L)) → activate#(L)activate#(n__adx(X)) → adx#(activate(X))
activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))activate#(n__incr(n__zeros)) → incr#(zeros)
activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))
activate#(n__incr(_x21)) → incr#(_x21)

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, nil, cons

Strategy

The right-hand side of the rule activate#(n__adx(X)) → adx#(activate(X)) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(zeros) 
adx#(adx(activate(_x21))) 
adx#(incr(activate(_x21))) 
adx#(_x21) 
Thus, the rule activate#(n__adx(X)) → adx#(activate(X)) is replaced by the following rules:
activate#(n__adx(_x21)) → adx#(_x21)activate#(n__adx(n__incr(_x21))) → adx#(incr(activate(_x21)))
activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))activate#(n__adx(n__zeros)) → adx#(zeros)

Problem 6: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(_x21)) → adx#(_x21)incr#(cons(X, L)) → activate#(L)
activate#(n__adx(n__incr(_x21))) → adx#(incr(activate(_x21)))activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))
activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))activate#(n__adx(n__zeros)) → adx#(zeros)
activate#(n__incr(n__zeros)) → incr#(zeros)activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))
adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))activate#(n__incr(_x21)) → incr#(_x21)

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, cons, nil

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(_x21))) → adx#(incr(activate(_x21))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(incr(zeros)) 
adx#(incr(_x41)) 
adx#(incr(adx(activate(_x41)))) 
adx#(incr(incr(activate(_x41)))) 
adx#(n__incr(activate(_x21))) 
Thus, the rule activate#(n__adx(n__incr(_x21))) → adx#(incr(activate(_x21))) is replaced by the following rules:
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))activate#(n__adx(n__incr(_x21))) → adx#(n__incr(activate(_x21)))
activate#(n__adx(n__incr(n__zeros))) → adx#(incr(zeros))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))
activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))

Problem 7: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(_x21)) → adx#(_x21)incr#(cons(X, L)) → activate#(L)
activate#(n__adx(n__incr(_x21))) → adx#(n__incr(activate(_x21)))activate#(n__incr(n__zeros)) → incr#(zeros)
activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))
activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))activate#(n__adx(n__zeros)) → adx#(zeros)
activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))
adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))activate#(n__adx(n__incr(n__zeros))) → adx#(incr(zeros))
activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))activate#(n__incr(_x21)) → incr#(_x21)

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, nil, cons

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(_x21))) → adx#(n__incr(activate(_x21))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(incr(activate(_x41)))) 
adx#(n__incr(_x41)) 
adx#(n__incr(zeros)) 
adx#(n__incr(adx(activate(_x41)))) 
Thus, the rule activate#(n__adx(n__incr(_x21))) → adx#(n__incr(activate(_x21))) is replaced by the following rules:
activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(adx(activate(_x41))))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(incr(activate(_x41))))

Problem 8: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(_x21)) → adx#(_x21)incr#(cons(X, L)) → activate#(L)
activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(incr(activate(_x41))))activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(adx(activate(_x41))))
activate#(n__incr(n__zeros)) → incr#(zeros)activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))
activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))
activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))
activate#(n__adx(n__zeros)) → adx#(zeros)activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))
activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))activate#(n__adx(n__incr(n__zeros))) → adx#(incr(zeros))
adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))
activate#(n__incr(_x21)) → incr#(_x21)

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, cons, nil

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(incr(activate(_x41)))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(incr(incr(activate(_x51))))) 
adx#(n__incr(incr(adx(activate(_x51))))) 
adx#(n__incr(incr(zeros))) 
adx#(n__incr(incr(_x51))) 
adx#(n__incr(n__incr(activate(_x41)))) 
Thus, the rule activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(incr(activate(_x41)))) is replaced by the following rules:
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(adx(activate(_x51)))))activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))
activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))
activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))

Problem 9: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(_x21)) → adx#(_x21)incr#(cons(X, L)) → activate#(L)
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(adx(activate(_x51)))))activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(adx(activate(_x41))))
activate#(n__incr(n__zeros)) → incr#(zeros)activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))
activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))
activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))activate#(n__adx(n__zeros)) → adx#(zeros)
activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))
activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))
activate#(n__adx(n__incr(n__zeros))) → adx#(incr(zeros))activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))
activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))
activate#(n__incr(_x21)) → incr#(_x21)

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, nil, cons

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(adx(activate(_x51))))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(incr(adx(zeros)))) 
adx#(n__incr(incr(adx(_x61)))) 
adx#(n__incr(incr(adx(incr(activate(_x61)))))) 
adx#(n__incr(incr(adx(adx(activate(_x61)))))) 
adx#(n__incr(incr(n__adx(activate(_x51))))) 
adx#(n__incr(n__incr(adx(activate(_x51))))) 
Thus, the rule activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(adx(activate(_x51))))) is replaced by the following rules:
activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(incr(adx(_x61))))activate#(n__adx(n__incr(n__incr(n__adx(n__incr(_x61)))))) → adx#(n__incr(incr(adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(n__incr(n__adx(n__zeros))))) → adx#(n__incr(incr(adx(zeros))))activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(n__adx(activate(_x51)))))
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(n__incr(adx(activate(_x51)))))activate#(n__adx(n__incr(n__incr(n__adx(n__adx(_x61)))))) → adx#(n__incr(incr(adx(adx(activate(_x61))))))

Problem 10: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(_x21)) → adx#(_x21)activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(adx(activate(_x41))))
activate#(n__incr(n__zeros)) → incr#(zeros)activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(n__incr(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(n__adx(activate(_x51)))))activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))
activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(incr(adx(_x61))))activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))activate#(n__adx(n__incr(n__incr(n__adx(n__zeros))))) → adx#(n__incr(incr(adx(zeros))))
activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))
activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))activate#(n__adx(n__incr(n__zeros))) → adx#(incr(zeros))
activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))incr#(cons(X, L)) → activate#(L)
activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))
activate#(n__adx(n__incr(n__incr(n__adx(n__incr(_x61)))))) → adx#(n__incr(incr(adx(incr(activate(_x61))))))activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))
activate#(n__adx(n__zeros)) → adx#(zeros)activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))
adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))
activate#(n__incr(_x21)) → incr#(_x21)activate#(n__adx(n__incr(n__incr(n__adx(n__adx(_x61)))))) → adx#(n__incr(incr(adx(adx(activate(_x61))))))

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, cons, nil

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(adx(activate(_x41)))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(adx(incr(activate(_x51))))) 
adx#(n__incr(n__adx(activate(_x41)))) 
adx#(n__incr(adx(adx(activate(_x51))))) 
adx#(n__incr(adx(_x51))) 
adx#(n__incr(adx(zeros))) 
Thus, the rule activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(adx(activate(_x41)))) is replaced by the following rules:
activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(adx(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__zeros)))) → adx#(n__incr(adx(zeros)))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(n__adx(activate(_x41))))activate#(n__adx(n__incr(n__adx(_x51)))) → adx#(n__incr(adx(_x51)))
activate#(n__adx(n__incr(n__adx(n__incr(_x51))))) → adx#(n__incr(adx(incr(activate(_x51)))))

Problem 11: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(_x21)) → adx#(_x21)activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(adx(activate(_x51)))))
activate#(n__incr(n__zeros)) → incr#(zeros)activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(n__adx(activate(_x51)))))activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(n__incr(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))
activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(incr(adx(_x61))))activate#(n__adx(n__incr(n__incr(n__adx(n__zeros))))) → adx#(n__incr(incr(adx(zeros))))
activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(_x51)))) → adx#(n__incr(adx(_x51)))activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))
activate#(n__adx(n__incr(n__zeros))) → adx#(incr(zeros))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__incr(_x51))))) → adx#(n__incr(adx(incr(activate(_x51)))))incr#(cons(X, L)) → activate#(L)
activate#(n__adx(n__incr(n__adx(n__zeros)))) → adx#(n__incr(adx(zeros)))activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))
activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))activate#(n__adx(n__incr(n__incr(n__adx(n__incr(_x61)))))) → adx#(n__incr(incr(adx(incr(activate(_x61))))))
activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))activate#(n__adx(n__zeros)) → adx#(zeros)
activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(n__adx(activate(_x41))))
adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))
activate#(n__adx(n__incr(n__incr(n__adx(n__adx(_x61)))))) → adx#(n__incr(incr(adx(adx(activate(_x61))))))activate#(n__incr(_x21)) → incr#(_x21)

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, nil, cons

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(adx(activate(_x51))))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(adx(adx(incr(activate(_x61)))))) 
adx#(n__incr(adx(adx(zeros)))) 
adx#(n__incr(n__adx(adx(activate(_x51))))) 
adx#(n__incr(adx(adx(_x61)))) 
adx#(n__incr(adx(adx(adx(activate(_x61)))))) 
adx#(n__incr(adx(n__adx(activate(_x51))))) 
Thus, the rule activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(adx(activate(_x51))))) is replaced by the following rules:
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(adx(incr(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(zeros))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(adx(adx(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(n__adx(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__adx(_x61))))) → adx#(n__incr(adx(adx(_x61))))activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(n__adx(activate(_x51)))))

Problem 12: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(_x21)) → adx#(_x21)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(adx(adx(activate(_x61))))))
activate#(n__incr(n__zeros)) → incr#(zeros)activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(n__incr(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(n__adx(activate(_x51)))))activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))
activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(incr(adx(_x61))))activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(zeros))))
activate#(n__adx(n__incr(n__incr(n__adx(n__zeros))))) → adx#(n__incr(incr(adx(zeros))))activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))
activate#(n__adx(n__incr(n__adx(n__adx(_x61))))) → adx#(n__incr(adx(adx(_x61))))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(_x51)))) → adx#(n__incr(adx(_x51)))activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))
activate#(n__adx(n__incr(n__zeros))) → adx#(incr(zeros))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__incr(_x51))))) → adx#(n__incr(adx(incr(activate(_x51)))))incr#(cons(X, L)) → activate#(L)
activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(n__adx(adx(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__zeros)))) → adx#(n__incr(adx(zeros)))
activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))activate#(n__adx(n__incr(n__incr(n__adx(n__incr(_x61)))))) → adx#(n__incr(incr(adx(incr(activate(_x61))))))
activate#(n__adx(n__zeros)) → adx#(zeros)activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(n__adx(activate(_x41))))activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))
adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(n__adx(activate(_x51)))))activate#(n__incr(_x21)) → incr#(_x21)
activate#(n__adx(n__incr(n__incr(n__adx(n__adx(_x61)))))) → adx#(n__incr(incr(adx(adx(activate(_x61))))))

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, cons, nil

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(adx(adx(activate(_x61)))))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(adx(adx(adx(zeros))))) 
adx#(n__incr(adx(adx(adx(incr(activate(_x71))))))) 
adx#(n__incr(adx(adx(n__adx(activate(_x61)))))) 
adx#(n__incr(adx(n__adx(adx(activate(_x61)))))) 
adx#(n__incr(adx(adx(adx(adx(activate(_x71))))))) 
adx#(n__incr(adx(adx(adx(_x71))))) 
adx#(n__incr(n__adx(adx(adx(activate(_x61)))))) 
Thus, the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(adx(adx(activate(_x61)))))) is replaced by the following rules:
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(n__adx(adx(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(adx(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(n__adx(adx(adx(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(adx(zeros)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(adx(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(adx(n__adx(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(adx(adx(adx(_x71)))))

Problem 13: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(_x21)) → adx#(_x21)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(adx(incr(activate(_x71)))))))
activate#(n__incr(n__zeros)) → incr#(zeros)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(adx(adx(activate(_x71)))))))
activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(n__adx(activate(_x51)))))
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(n__incr(adx(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(zeros))))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))
activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(incr(adx(_x61))))activate#(n__adx(n__incr(n__incr(n__adx(n__zeros))))) → adx#(n__incr(incr(adx(zeros))))
activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(_x61))))) → adx#(n__incr(adx(adx(_x61))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(adx(n__adx(activate(_x61))))))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(_x51)))) → adx#(n__incr(adx(_x51)))activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))
activate#(n__adx(n__incr(n__zeros))) → adx#(incr(zeros))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__incr(_x51))))) → adx#(n__incr(adx(incr(activate(_x51)))))incr#(cons(X, L)) → activate#(L)
activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(n__adx(adx(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__zeros)))) → adx#(n__incr(adx(zeros)))
activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(n__adx(adx(activate(_x61))))))activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))
activate#(n__adx(n__incr(n__incr(n__adx(n__incr(_x61)))))) → adx#(n__incr(incr(adx(incr(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(n__adx(adx(adx(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(adx(zeros)))))activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))
activate#(n__adx(n__zeros)) → adx#(zeros)activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(n__adx(activate(_x41))))adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))
activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(n__adx(activate(_x51)))))activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))
activate#(n__adx(n__incr(n__incr(n__adx(n__adx(_x61)))))) → adx#(n__incr(incr(adx(adx(activate(_x61))))))activate#(n__incr(_x21)) → incr#(_x21)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(adx(adx(adx(_x71)))))

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, nil, cons

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(adx(incr(activate(_x71))))))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(adx(adx(adx(incr(adx(activate(_x81)))))))) 
adx#(n__incr(adx(adx(adx(n__incr(activate(_x71))))))) 
adx#(n__incr(adx(adx(adx(incr(_x81)))))) 
adx#(n__incr(adx(adx(n__adx(incr(activate(_x71))))))) 
adx#(n__incr(n__adx(adx(adx(incr(activate(_x71))))))) 
adx#(n__incr(adx(adx(adx(incr(incr(activate(_x81)))))))) 
adx#(n__incr(adx(adx(adx(incr(zeros)))))) 
adx#(n__incr(adx(n__adx(adx(incr(activate(_x71))))))) 
Thus, the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(adx(incr(activate(_x71))))))) is replaced by the following rules:
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(adx(n__incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(incr(_x81))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(incr(zeros))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(adx(activate(_x81))))))))

Problem 14: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(_x21)) → adx#(_x21)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(incr(zeros))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(adx(adx(activate(_x71)))))))
activate#(n__incr(n__zeros)) → incr#(zeros)activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(n__incr(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(n__adx(activate(_x51)))))activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))
activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(incr(adx(_x61))))activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(zeros))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(incr(activate(_x71)))))))activate#(n__adx(n__incr(n__incr(n__adx(n__zeros))))) → adx#(n__incr(incr(adx(zeros))))
activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(_x61))))) → adx#(n__incr(adx(adx(_x61))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(adx(n__adx(activate(_x61))))))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(_x51)))) → adx#(n__incr(adx(_x51)))activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))
activate#(n__adx(n__incr(n__zeros))) → adx#(incr(zeros))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__incr(_x51))))) → adx#(n__incr(adx(incr(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(incr(_x81))))))
incr#(cons(X, L)) → activate#(L)activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(n__adx(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__zeros)))) → adx#(n__incr(adx(zeros)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(n__adx(adx(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(adx(incr(activate(_x61))))))activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(n__adx(adx(adx(activate(_x61))))))activate#(n__adx(n__incr(n__incr(n__adx(n__incr(_x61)))))) → adx#(n__incr(incr(adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(adx(zeros)))))
activate#(n__adx(n__zeros)) → adx#(zeros)activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(n__adx(activate(_x41))))activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(incr(activate(_x71)))))))adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(n__adx(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(adx(adx(adx(_x71)))))
activate#(n__incr(_x21)) → incr#(_x21)activate#(n__adx(n__incr(n__incr(n__adx(n__adx(_x61)))))) → adx#(n__incr(incr(adx(adx(activate(_x61))))))

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, cons, nil

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(adx(n__incr(activate(_x71))))))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(adx(adx(adx(n__incr(adx(activate(_x81)))))))) 
adx#(n__incr(adx(adx(adx(n__incr(incr(activate(_x81)))))))) 
adx#(n__incr(adx(adx(adx(n__incr(_x81)))))) 
adx#(n__incr(adx(adx(adx(n__incr(zeros)))))) 
adx#(n__incr(adx(n__adx(adx(n__incr(activate(_x71))))))) 
adx#(n__incr(n__adx(adx(adx(n__incr(activate(_x71))))))) 
adx#(n__incr(adx(adx(n__adx(n__incr(activate(_x71))))))) 
Thus, the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(adx(n__incr(activate(_x71))))))) is replaced by the following rules:
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(n__incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(n__incr(zeros))))))

Problem 15: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(adx(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(zeros))))activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))
activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(incr(adx(_x61))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__incr(n__adx(n__zeros))))) → adx#(n__incr(incr(adx(zeros))))activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(adx(n__adx(activate(_x61))))))activate#(n__adx(n__incr(n__zeros))) → adx#(incr(zeros))
activate#(n__adx(n__incr(n__adx(_x51)))) → adx#(n__incr(adx(_x51)))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(n__adx(adx(adx(activate(_x61))))))activate#(n__adx(n__incr(n__incr(n__adx(n__incr(_x61)))))) → adx#(n__incr(incr(adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(adx(zeros)))))
activate#(n__adx(n__zeros)) → adx#(zeros)activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(incr(activate(_x71)))))))adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(n__adx(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(adx(adx(adx(_x71)))))activate#(n__adx(_x21)) → adx#(_x21)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(incr(zeros))))))
activate#(n__incr(n__zeros)) → incr#(zeros)activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(n__adx(activate(_x51)))))activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(n__incr(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))activate#(n__adx(n__incr(n__adx(n__adx(_x61))))) → adx#(n__incr(adx(adx(_x61))))
activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))
activate#(n__adx(n__incr(n__adx(n__incr(_x51))))) → adx#(n__incr(adx(incr(activate(_x51)))))incr#(cons(X, L)) → activate#(L)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(n__incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(n__adx(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__zeros)))) → adx#(n__incr(adx(zeros)))activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(n__adx(adx(activate(_x61))))))activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))
activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(n__incr(zeros))))))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(n__adx(activate(_x41))))activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))
activate#(n__incr(_x21)) → incr#(_x21)activate#(n__adx(n__incr(n__incr(n__adx(n__adx(_x61)))))) → adx#(n__incr(incr(adx(adx(activate(_x61))))))

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, nil, cons

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(adx(adx(activate(_x71))))))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(adx(adx(adx(adx(_x81)))))) 
adx#(n__incr(adx(adx(adx(n__adx(activate(_x71))))))) 
adx#(n__incr(adx(adx(adx(adx(adx(activate(_x81)))))))) 
adx#(n__incr(adx(adx(adx(adx(incr(activate(_x81)))))))) 
adx#(n__incr(n__adx(adx(adx(adx(activate(_x71))))))) 
adx#(n__incr(adx(n__adx(adx(adx(activate(_x71))))))) 
adx#(n__incr(adx(adx(n__adx(adx(activate(_x71))))))) 
adx#(n__incr(adx(adx(adx(adx(zeros)))))) 
Thus, the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(adx(adx(activate(_x71))))))) is replaced by the following rules:
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x81))))))) → adx#(n__incr(adx(adx(adx(adx(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(n__adx(adx(adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(adx(n__adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(n__adx(adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(n__adx(adx(adx(adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__zeros))))))) → adx#(n__incr(adx(adx(adx(adx(zeros))))))

Problem 16: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(zeros))))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(incr(adx(_x61))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(incr(activate(_x71)))))))activate#(n__adx(n__incr(n__incr(n__adx(n__zeros))))) → adx#(n__incr(incr(adx(zeros))))
activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(adx(n__adx(activate(_x61))))))
activate#(n__adx(n__incr(n__zeros))) → adx#(incr(zeros))activate#(n__adx(n__incr(n__adx(_x51)))) → adx#(n__incr(adx(_x51)))
activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(n__adx(adx(adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(incr(activate(_x71)))))))activate#(n__adx(n__incr(n__incr(n__adx(n__incr(_x61)))))) → adx#(n__incr(incr(adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(n__adx(adx(adx(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(adx(zeros)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(n__adx(adx(activate(_x71)))))))activate#(n__adx(n__zeros)) → adx#(zeros)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(n__adx(adx(adx(adx(activate(_x71)))))))
activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(incr(activate(_x71)))))))
adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(n__adx(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(adx(adx(adx(_x71)))))
activate#(n__adx(_x21)) → adx#(_x21)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(adx(n__adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(incr(zeros))))))
activate#(n__incr(n__zeros)) → incr#(zeros)activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(n__adx(activate(_x51)))))activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(n__incr(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))activate#(n__adx(n__incr(n__adx(n__adx(_x61))))) → adx#(n__incr(adx(adx(_x61))))
activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__zeros))))))) → adx#(n__incr(adx(adx(adx(adx(zeros))))))activate#(n__adx(n__incr(n__adx(n__incr(_x51))))) → adx#(n__incr(adx(incr(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x81))))))) → adx#(n__incr(adx(adx(adx(adx(_x81))))))incr#(cons(X, L)) → activate#(L)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(n__incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(n__adx(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__zeros)))) → adx#(n__incr(adx(zeros)))activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(n__adx(adx(activate(_x61))))))activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))
activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(n__incr(zeros))))))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(n__adx(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))activate#(n__adx(n__incr(n__incr(n__adx(n__adx(_x61)))))) → adx#(n__incr(incr(adx(adx(activate(_x61))))))
activate#(n__incr(_x21)) → incr#(_x21)

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, cons, nil

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(activate(_x81)))))))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(n__adx(adx(adx(n__incr(incr(activate(_x81)))))))) 
adx#(n__incr(adx(adx(n__adx(n__incr(incr(activate(_x81)))))))) 
adx#(n__incr(adx(adx(adx(n__incr(incr(adx(activate(_x91))))))))) 
adx#(n__incr(adx(n__adx(adx(n__incr(incr(activate(_x81)))))))) 
adx#(n__incr(adx(adx(adx(n__incr(n__incr(activate(_x81)))))))) 
adx#(n__incr(adx(adx(adx(n__incr(incr(_x91))))))) 
adx#(n__incr(adx(adx(adx(n__incr(incr(incr(activate(_x91))))))))) 
adx#(n__incr(adx(adx(adx(n__incr(incr(zeros))))))) 
Thus, the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(activate(_x81)))))))) is replaced by the following rules:
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(activate(_x91)))))))))

Problem 17: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(zeros))))activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))
activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(incr(adx(_x61))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__incr(n__adx(n__zeros))))) → adx#(n__incr(incr(adx(zeros))))activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(adx(n__adx(activate(_x61))))))activate#(n__adx(n__incr(n__zeros))) → adx#(incr(zeros))
activate#(n__adx(n__incr(n__adx(_x51)))) → adx#(n__incr(adx(_x51)))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(n__adx(adx(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(adx(incr(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(n__adx(adx(adx(activate(_x61))))))activate#(n__adx(n__incr(n__incr(n__adx(n__incr(_x61)))))) → adx#(n__incr(incr(adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(adx(zeros)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(n__adx(adx(activate(_x71)))))))activate#(n__adx(n__zeros)) → adx#(zeros)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(n__adx(adx(adx(adx(activate(_x71)))))))
activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(incr(activate(_x71)))))))
adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(n__adx(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(adx(adx(adx(_x71)))))
activate#(n__adx(_x21)) → adx#(_x21)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(adx(n__adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(incr(zeros))))))
activate#(n__incr(n__zeros)) → incr#(zeros)activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(n__adx(activate(_x51)))))activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(n__incr(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(_x61))))) → adx#(n__incr(adx(adx(_x61))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))
activate#(n__adx(n__incr(n__adx(n__incr(_x51))))) → adx#(n__incr(adx(incr(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__zeros))))))) → adx#(n__incr(adx(adx(adx(adx(zeros))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x81))))))) → adx#(n__incr(adx(adx(adx(adx(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(incr(_x81))))))incr#(cons(X, L)) → activate#(L)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(n__incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(n__adx(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__zeros)))) → adx#(n__incr(adx(zeros)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(n__adx(adx(activate(_x61))))))
activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(n__incr(zeros))))))activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(n__adx(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))
activate#(n__incr(_x21)) → incr#(_x21)activate#(n__adx(n__incr(n__incr(n__adx(n__adx(_x61)))))) → adx#(n__incr(incr(adx(adx(activate(_x61))))))

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, nil, cons

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(activate(_x81)))))))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(activate(_x81)))))))) 
adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(activate(_x91))))))))) 
adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(activate(_x81)))))))) 
adx#(n__incr(adx(adx(adx(n__incr(n__incr(_x91))))))) 
adx#(n__incr(adx(adx(adx(n__incr(n__incr(zeros))))))) 
adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(activate(_x81)))))))) 
adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(activate(_x91))))))))) 
Thus, the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(activate(_x81)))))))) is replaced by the following rules:
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(activate(_x81))))))))

Problem 18: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(zeros))))activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))
activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(incr(adx(_x61))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__incr(n__adx(n__zeros))))) → adx#(n__incr(incr(adx(zeros))))activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(adx(n__adx(activate(_x61))))))activate#(n__adx(n__incr(n__zeros))) → adx#(incr(zeros))
activate#(n__adx(n__incr(n__adx(_x51)))) → adx#(n__incr(adx(_x51)))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(n__adx(adx(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__incr(n__adx(n__incr(_x61)))))) → adx#(n__incr(incr(adx(incr(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(n__adx(adx(adx(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(adx(zeros)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(n__adx(adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))activate#(n__adx(n__zeros)) → adx#(zeros)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(n__adx(adx(adx(adx(activate(_x71)))))))
activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(incr(activate(_x71)))))))
adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(n__adx(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(adx(adx(adx(_x71)))))
activate#(n__adx(_x21)) → adx#(_x21)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(adx(n__adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(incr(zeros))))))
activate#(n__incr(n__zeros)) → incr#(zeros)activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(n__adx(activate(_x51)))))activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(n__incr(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(_x61))))) → adx#(n__incr(adx(adx(_x61))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))
activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__zeros))))))) → adx#(n__incr(adx(adx(adx(adx(zeros))))))
activate#(n__adx(n__incr(n__adx(n__incr(_x51))))) → adx#(n__incr(adx(incr(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x81))))))) → adx#(n__incr(adx(adx(adx(adx(_x81))))))
incr#(cons(X, L)) → activate#(L)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(incr(_x81))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(n__incr(_x81))))))
activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(n__adx(adx(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__zeros)))) → adx#(n__incr(adx(zeros)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(n__adx(adx(activate(_x61))))))
activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(zeros)))))))activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(n__incr(zeros))))))activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(n__adx(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))
activate#(n__adx(n__incr(n__incr(n__adx(n__adx(_x61)))))) → adx#(n__incr(incr(adx(adx(activate(_x61))))))activate#(n__incr(_x21)) → incr#(_x21)

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, cons, nil

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(activate(_x81)))))))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(activate(_x81)))))))) 
adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(zeros))))))) 
adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(activate(_x81)))))))) 
adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(_x91))))))) 
adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(activate(_x91))))))))) 
adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(activate(_x91))))))))) 
Thus, the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(activate(_x81)))))))) is replaced by the following rules:
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))

Problem 19: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(zeros))))activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))
activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(incr(adx(_x61))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__incr(n__adx(n__zeros))))) → adx#(n__incr(incr(adx(zeros))))activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(adx(n__adx(activate(_x61))))))activate#(n__adx(n__incr(n__zeros))) → adx#(incr(zeros))
activate#(n__adx(n__incr(n__adx(_x51)))) → adx#(n__incr(adx(_x51)))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(n__adx(adx(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(n__adx(adx(adx(activate(_x61))))))activate#(n__adx(n__incr(n__incr(n__adx(n__incr(_x61)))))) → adx#(n__incr(incr(adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(adx(zeros)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(n__adx(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))
activate#(n__adx(n__zeros)) → adx#(zeros)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(n__adx(adx(adx(adx(activate(_x71)))))))activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(incr(activate(_x71)))))))adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(n__adx(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(adx(adx(adx(_x71)))))activate#(n__adx(_x21)) → adx#(_x21)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(adx(n__adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(incr(zeros))))))
activate#(n__incr(n__zeros)) → incr#(zeros)activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(n__adx(activate(_x51)))))activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(n__incr(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))activate#(n__adx(n__incr(n__adx(n__adx(_x61))))) → adx#(n__incr(adx(adx(_x61))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))
activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))activate#(n__adx(n__incr(n__adx(n__incr(_x51))))) → adx#(n__incr(adx(incr(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__zeros))))))) → adx#(n__incr(adx(adx(adx(adx(zeros))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x81))))))) → adx#(n__incr(adx(adx(adx(adx(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(incr(_x81))))))incr#(cons(X, L)) → activate#(L)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(n__incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(n__adx(adx(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__zeros)))) → adx#(n__incr(adx(zeros)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(n__adx(adx(activate(_x61))))))activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(n__incr(zeros))))))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(n__adx(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))activate#(n__incr(_x21)) → incr#(_x21)
activate#(n__adx(n__incr(n__incr(n__adx(n__adx(_x61)))))) → adx#(n__incr(incr(adx(adx(activate(_x61))))))

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, nil, cons

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(activate(_x91))))))))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(adx(activate(_x101)))))))))) 
adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(incr(activate(_x91))))))))) 
adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__incr(activate(_x91))))))))) 
adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(incr(activate(_x101)))))))))) 
adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(incr(activate(_x91))))))))) 
adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(zeros)))))))) 
adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(_x101)))))))) 
Thus, the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(activate(_x91))))))))) is replaced by the following rules:
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x101))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(_x101))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(incr(activate(_x91)))))))))

Problem 20: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(zeros))))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(incr(adx(_x61))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__incr(n__adx(n__zeros))))) → adx#(n__incr(incr(adx(zeros))))activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(adx(n__adx(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x101))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(_x101))))))))
activate#(n__adx(n__incr(n__zeros))) → adx#(incr(zeros))activate#(n__adx(n__incr(n__adx(_x51)))) → adx#(n__incr(adx(_x51)))
activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(n__adx(adx(adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(n__adx(adx(adx(activate(_x61))))))
activate#(n__adx(n__incr(n__incr(n__adx(n__incr(_x61)))))) → adx#(n__incr(incr(adx(incr(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(adx(zeros)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(n__adx(adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))activate#(n__adx(n__zeros)) → adx#(zeros)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(n__adx(adx(adx(adx(activate(_x71)))))))
activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(incr(activate(_x71)))))))
adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(n__adx(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(adx(adx(adx(_x71)))))
activate#(n__adx(_x21)) → adx#(_x21)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(adx(n__adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(incr(zeros))))))activate#(n__incr(n__zeros)) → incr#(zeros)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(n__incr(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(n__adx(activate(_x51)))))activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))
activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(_x61))))) → adx#(n__incr(adx(adx(_x61))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))
activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__zeros))))))) → adx#(n__incr(adx(adx(adx(adx(zeros))))))
activate#(n__adx(n__incr(n__adx(n__incr(_x51))))) → adx#(n__incr(adx(incr(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x81))))))) → adx#(n__incr(adx(adx(adx(adx(_x81))))))incr#(cons(X, L)) → activate#(L)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(n__incr(_x81))))))
activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(n__adx(adx(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__zeros)))) → adx#(n__incr(adx(zeros)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(n__adx(adx(activate(_x61))))))activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(zeros)))))))
activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(n__incr(zeros))))))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(n__adx(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))activate#(n__adx(n__incr(n__incr(n__adx(n__adx(_x61)))))) → adx#(n__incr(incr(adx(adx(activate(_x61))))))
activate#(n__incr(_x21)) → incr#(_x21)

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, cons, nil

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(activate(_x91))))))))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(adx(adx(adx(n__incr(incr(incr(zeros)))))))) 
adx#(n__incr(adx(adx(adx(n__incr(incr(incr(adx(activate(_x101)))))))))) 
adx#(n__incr(adx(adx(adx(n__incr(incr(n__incr(activate(_x91))))))))) 
adx#(n__incr(adx(adx(adx(n__incr(incr(incr(_x101)))))))) 
adx#(n__incr(adx(n__adx(adx(n__incr(incr(incr(activate(_x91))))))))) 
adx#(n__incr(n__adx(adx(adx(n__incr(incr(incr(activate(_x91))))))))) 
adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(activate(_x101)))))))))) 
adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(activate(_x91))))))))) 
adx#(n__incr(adx(adx(n__adx(n__incr(incr(incr(activate(_x91))))))))) 
Thus, the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(activate(_x91))))))))) is replaced by the following rules:
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x101))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(_x101))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(n__incr(activate(_x91)))))))))

Problem 21: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(zeros))))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(incr(adx(_x61))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x101))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(_x101))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(incr(activate(_x71)))))))activate#(n__adx(n__incr(n__incr(n__adx(n__zeros))))) → adx#(n__incr(incr(adx(zeros))))
activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(adx(n__adx(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x101))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(_x101))))))))activate#(n__adx(n__incr(n__zeros))) → adx#(incr(zeros))
activate#(n__adx(n__incr(n__adx(_x51)))) → adx#(n__incr(adx(_x51)))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(n__adx(adx(adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(n__adx(adx(adx(activate(_x61))))))activate#(n__adx(n__incr(n__incr(n__adx(n__incr(_x61)))))) → adx#(n__incr(incr(adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(adx(zeros)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(n__adx(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))
activate#(n__adx(n__zeros)) → adx#(zeros)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(n__adx(adx(adx(adx(activate(_x71)))))))activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(incr(activate(_x71)))))))adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(n__adx(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(adx(adx(adx(_x71)))))activate#(n__adx(_x21)) → adx#(_x21)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(adx(n__adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(incr(zeros))))))activate#(n__incr(n__zeros)) → incr#(zeros)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(adx(activate(_x101))))))))))activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(n__adx(activate(_x51)))))activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(n__incr(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(_x61))))) → adx#(n__incr(adx(adx(_x61))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))
activate#(n__adx(n__incr(n__adx(n__incr(_x51))))) → adx#(n__incr(adx(incr(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__zeros))))))) → adx#(n__incr(adx(adx(adx(adx(zeros))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x81))))))) → adx#(n__incr(adx(adx(adx(adx(_x81))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(incr(_x81))))))
incr#(cons(X, L)) → activate#(L)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(n__incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(n__adx(adx(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__zeros)))) → adx#(n__incr(adx(zeros)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(n__adx(adx(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(n__incr(zeros))))))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(n__adx(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))activate#(n__incr(_x21)) → incr#(_x21)
activate#(n__adx(n__incr(n__incr(n__adx(n__adx(_x61)))))) → adx#(n__incr(incr(adx(adx(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(n__incr(activate(_x91)))))))))

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, nil, cons

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(activate(_x101)))))))))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(n__adx(adx(adx(n__incr(incr(incr(incr(activate(_x101)))))))))) 
adx#(n__incr(adx(n__adx(adx(n__incr(incr(incr(incr(activate(_x101)))))))))) 
adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(_x111))))))))) 
adx#(n__incr(adx(adx(adx(n__incr(incr(n__incr(incr(activate(_x101)))))))))) 
adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(adx(activate(_x111))))))))))) 
adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(incr(activate(_x111))))))))))) 
adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(incr(activate(_x101)))))))))) 
adx#(n__incr(adx(adx(adx(n__incr(incr(incr(n__incr(activate(_x101)))))))))) 
adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(zeros))))))))) 
adx#(n__incr(adx(adx(n__adx(n__incr(incr(incr(incr(activate(_x101)))))))))) 
Thus, the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(activate(_x101)))))))))) is replaced by the following rules:
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(n__incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(n__zeros)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(zeros)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(n__adx(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(adx(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x111)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(_x111)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(incr(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(incr(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(n__incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(incr(activate(_x101))))))))))

Problem 22: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(zeros))))activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(incr(adx(_x61))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(incr(activate(_x71)))))))activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(adx(n__adx(activate(_x61))))))activate#(n__adx(n__incr(n__zeros))) → adx#(incr(zeros))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(adx(zeros)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(adx(activate(_x81))))))))
adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(n__zeros)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(zeros)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(activate(_x81))))))))activate#(n__incr(n__zeros)) → incr#(zeros)
activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x111)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(_x111)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(_x61))))) → adx#(n__incr(adx(adx(_x61))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(incr(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__incr(_x51))))) → adx#(n__incr(adx(incr(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__zeros))))))) → adx#(n__incr(adx(adx(adx(adx(zeros))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(n__incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(n__incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(n__incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(n__adx(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(n__adx(adx(activate(_x61))))))activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(n__adx(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(adx(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(incr(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(n__incr(zeros))))))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(n__adx(activate(_x41))))activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))
activate#(n__adx(n__incr(n__incr(n__adx(n__adx(_x61)))))) → adx#(n__incr(incr(adx(adx(activate(_x61))))))activate#(n__incr(_x21)) → incr#(_x21)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x101))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(_x101))))))))
activate#(n__adx(n__incr(n__incr(n__adx(n__zeros))))) → adx#(n__incr(incr(adx(zeros))))activate#(n__adx(n__incr(n__adx(_x51)))) → adx#(n__incr(adx(_x51)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x101))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(_x101))))))))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(n__adx(adx(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(zeros)))))))
activate#(n__adx(n__incr(n__incr(n__adx(n__incr(_x61)))))) → adx#(n__incr(incr(adx(incr(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(n__adx(adx(adx(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(n__adx(adx(activate(_x71)))))))activate#(n__adx(n__zeros)) → adx#(zeros)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(n__adx(adx(adx(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(incr(activate(_x71)))))))
activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(n__adx(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(adx(adx(adx(_x71)))))activate#(n__adx(_x21)) → adx#(_x21)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(adx(n__adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(incr(zeros))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(n__incr(adx(activate(_x51)))))activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(n__adx(activate(_x51)))))
activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))
activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x81))))))) → adx#(n__incr(adx(adx(adx(adx(_x81))))))
incr#(cons(X, L)) → activate#(L)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(incr(_x81))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__zeros)))) → adx#(n__incr(adx(zeros)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(n__incr(activate(_x91)))))))))

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, cons, nil

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(incr(adx(_x61)))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(incr(n__adx(_x41)))) 
adx#(n__incr(incr(nil))) 
adx#(n__incr(n__incr(adx(_x61)))) 
adx#(n__incr(incr(incr(cons(_x42, n__adx(activate(_x41))))))) 
Thus, the rule activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(incr(adx(_x61)))) is replaced by the following rules:
activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(n__incr(adx(_x61))))activate#(n__adx(n__incr(n__incr(n__adx(_x41))))) → adx#(n__incr(incr(n__adx(_x41))))
activate#(n__adx(n__incr(n__incr(n__adx(cons(_x42, _x41)))))) → adx#(n__incr(incr(incr(cons(_x42, n__adx(activate(_x41)))))))activate#(n__adx(n__incr(n__incr(n__adx(nil))))) → adx#(n__incr(incr(nil)))

Problem 23: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(zeros))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(incr(activate(_x71)))))))
activate#(n__adx(n__adx(_x21))) → adx#(adx(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(adx(n__adx(activate(_x61))))))
activate#(n__adx(n__incr(n__zeros))) → adx#(incr(zeros))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(adx(incr(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(adx(zeros)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(adx(activate(_x81))))))))adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))
activate#(n__adx(n__incr(n__incr(n__adx(_x41))))) → adx#(n__incr(incr(n__adx(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(n__zeros)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(zeros)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(activate(_x81))))))))activate#(n__incr(n__zeros)) → incr#(zeros)
activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))activate#(n__adx(n__incr(n__incr(n__adx(cons(_x42, _x41)))))) → adx#(n__incr(incr(incr(cons(_x42, n__adx(activate(_x41)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x111)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(_x61))))) → adx#(n__incr(adx(adx(_x61))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(n__incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__zeros))))))) → adx#(n__incr(adx(adx(adx(adx(zeros))))))activate#(n__adx(n__incr(n__adx(n__incr(_x51))))) → adx#(n__incr(adx(incr(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(n__incr(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(n__incr(_x81))))))
activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(n__adx(adx(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(n__adx(adx(activate(_x61))))))
activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(n__adx(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(incr(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(n__incr(zeros))))))activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(n__adx(activate(_x41))))
activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))activate#(n__adx(n__incr(n__incr(n__adx(n__adx(_x61)))))) → adx#(n__incr(incr(adx(adx(activate(_x61))))))
activate#(n__incr(_x21)) → incr#(_x21)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(incr(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x101))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(_x101))))))))activate#(n__adx(n__incr(n__incr(n__adx(n__zeros))))) → adx#(n__incr(incr(adx(zeros))))
activate#(n__adx(n__incr(n__adx(_x51)))) → adx#(n__incr(adx(_x51)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x101))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(_x101))))))))
activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(n__adx(adx(adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(incr(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(n__incr(adx(_x61))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(zeros)))))))
activate#(n__adx(n__incr(n__incr(n__adx(n__incr(_x61)))))) → adx#(n__incr(incr(adx(incr(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(n__adx(adx(adx(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(n__adx(adx(activate(_x71)))))))activate#(n__adx(n__zeros)) → adx#(zeros)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(n__adx(adx(adx(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(incr(activate(_x71)))))))
activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(n__adx(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(adx(adx(adx(_x71)))))activate#(n__adx(_x21)) → adx#(_x21)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(adx(n__adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(incr(zeros))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(n__incr(adx(activate(_x51)))))activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(n__adx(activate(_x51)))))
activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))activate#(n__adx(n__incr(n__incr(n__adx(nil))))) → adx#(n__incr(incr(nil)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x81))))))) → adx#(n__incr(adx(adx(adx(adx(_x81))))))incr#(cons(X, L)) → activate#(L)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__zeros)))) → adx#(n__incr(adx(zeros)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(activate(_x81))))))))activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(n__incr(activate(_x91)))))))))

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, nil, cons

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(zeros)))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(adx(adx(cons(0, n__zeros))))) 
adx#(n__incr(adx(adx(n__zeros)))) 
adx#(n__incr(adx(n__adx(zeros)))) 
adx#(n__incr(n__adx(adx(zeros)))) 
Thus, the rule activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(zeros)))) is replaced by the following rules:
activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(n__zeros))))activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(n__adx(zeros))))
activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(n__adx(adx(zeros))))activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(cons(0, n__zeros)))))

Problem 24: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(adx(zeros)))))activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(n__adx(zeros))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(n__adx(adx(incr(incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(n__adx(activate(_x91)))))))))
adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(n__zeros))))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(incr(zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(n__incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x101))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(_x101))))))))
activate#(n__adx(n__adx(n__zeros))) → adx#(n__adx(zeros))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(n__zeros)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(zeros)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(activate(_x81))))))))activate#(n__incr(n__zeros)) → incr#(zeros)
activate#(n__adx(n__adx(_x41))) → adx#(n__adx(_x41))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x61))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x111)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(adx(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(n__incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__zeros))))))) → adx#(n__incr(adx(adx(adx(adx(zeros))))))
activate#(n__adx(n__incr(n__adx(n__incr(_x51))))) → adx#(n__incr(adx(incr(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(nil)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(nil))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(n__incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(n__adx(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(adx(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(incr(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__zeros)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(zeros)))))))))activate#(n__adx(n__incr(n__zeros))) → adx#(incr(cons(0, n__zeros)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(n__incr(zeros))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(nil))))))) → adx#(n__incr(n__adx(n__adx(adx(nil)))))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(n__adx(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(n__adx(incr(activate(_x61))))))
activate#(n__adx(n__adx(n__incr(_x41)))) → adx#(n__adx(incr(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(n__zeros)))))) → adx#(n__incr(adx(adx(incr(zeros)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(incr(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(n__adx(n__incr(activate(_x61))))))activate#(n__adx(n__adx(n__incr(_x41)))) → adx#(adx(incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(n__adx(n__adx(n__adx(incr(incr(zeros)))))))activate#(n__adx(n__adx(n__adx(_x41)))) → adx#(adx(adx(activate(_x41))))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x101))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(_x101))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(incr(zeros)))))))
activate#(n__adx(n__incr(n__incr(n__adx(n__zeros))))) → adx#(n__incr(incr(adx(zeros))))activate#(n__adx(n__incr(n__adx(_x51)))) → adx#(n__incr(adx(_x51)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x101))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(_x101))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(cons(_x62, _x61)))))))) → adx#(n__incr(n__adx(n__adx(adx(cons(s(_x62), n__incr(activate(_x61))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(n__adx(adx(adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x61))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(n__adx(adx(zeros)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(n__incr(adx(_x61))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(n__adx(adx(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(incr(cons(0, n__zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(n__adx(adx(adx(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(n__adx(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x121)))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(adx(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(n__adx(adx(adx(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(n__adx(incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(adx(adx(adx(_x71)))))
activate#(n__adx(_x21)) → adx#(_x21)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(adx(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(n__incr(adx(activate(_x51)))))activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(n__adx(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(n__incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__incr(n__adx(nil))))) → adx#(n__incr(incr(nil)))
activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(n__adx(adx(zeros))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__incr(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(incr(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x71)))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(n__adx(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x101))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(_x101))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x81))))))) → adx#(n__incr(adx(adx(adx(adx(_x81))))))
incr#(cons(X, L)) → activate#(L)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(incr(incr(cons(0, n__zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x71)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(_x71)))))))activate#(n__adx(n__incr(n__adx(n__zeros)))) → adx#(n__incr(adx(zeros)))
activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__adx(_x111))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(nil))))))) → adx#(n__incr(adx(n__adx(adx(nil)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(adx(zeros)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(n__adx(_x71))))))) → adx#(n__incr(adx(adx(n__incr(adx(activate(_x71)))))))activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(adx(_x111)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(n__adx(adx(activate(_x101))))))))))activate#(n__adx(n__adx(_x41))) → adx#(adx(_x41))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(n__adx(adx(n__incr(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(n__adx(adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x71)))))) → adx#(n__incr(adx(adx(incr(_x71)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(incr(n__zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(n__zeros))))
activate#(n__adx(n__adx(n__adx(_x41)))) → adx#(n__adx(adx(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(n__adx(adx(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x111)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__incr(n__adx(_x41))))) → adx#(n__incr(incr(n__adx(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__zeros))) → adx#(incr(n__zeros))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(n__adx(adx(incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__incr(n__adx(cons(_x42, _x41)))))) → adx#(n__incr(incr(incr(cons(_x42, n__adx(activate(_x41)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(cons(_x72, _x71))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(cons(_x72, n__adx(activate(_x71))))))))))activate#(n__adx(n__incr(n__adx(n__adx(_x61))))) → adx#(n__incr(adx(adx(_x61))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(incr(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(n__adx(n__adx(n__adx(incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(n__adx(adx(incr(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(n__incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(cons(0, n__zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x71)))))) → adx#(n__incr(adx(adx(n__incr(_x71)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(n__adx(adx(n__adx(_x71)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(n__adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(n__adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(adx(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(n__adx(adx(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(n__adx(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(n__adx(adx(n__adx(adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(_x81))))))
activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))activate#(n__incr(_x21)) → incr#(_x21)
activate#(n__adx(n__incr(n__incr(n__adx(n__adx(_x61)))))) → adx#(n__incr(incr(adx(adx(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(incr(n__incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(incr(incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(n__adx(n__adx(adx(incr(incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(n__incr(incr(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(n__incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__zeros))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(adx(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(adx(adx(n__adx(_x71)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x101))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(_x101))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(n__adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(cons(0, n__zeros)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(n__zeros)))))) → adx#(n__incr(adx(adx(n__incr(zeros)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(incr(incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(n__adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(incr(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__adx(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(n__adx(adx(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__zeros))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(zeros))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(adx(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__incr(n__adx(n__incr(_x61)))))) → adx#(n__incr(incr(adx(incr(activate(_x61))))))
activate#(n__adx(n__adx(n__zeros))) → adx#(adx(zeros))activate#(n__adx(n__zeros)) → adx#(zeros)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(zeros)))))))activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(n__adx(n__adx(n__adx(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(n__adx(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__zeros))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(adx(n__adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(n__adx(adx(incr(zeros))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(incr(zeros))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(n__adx(adx(n__adx(zeros)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(n__incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(adx(incr(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(n__adx(zeros)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(n__incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(adx(incr(incr(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(n__adx(_x71))))))) → adx#(n__incr(adx(adx(incr(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x121))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(_x121))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(n__adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(incr(incr(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(incr(_x81))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(incr(incr(n__zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(incr(incr(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x101))))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(incr(_x101))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__zeros))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(incr(adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(n__adx(n__adx(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(cons(_x62, _x61)))))))) → adx#(n__incr(adx(n__adx(adx(cons(s(_x62), n__incr(activate(_x61))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(n__adx(n__adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x71))))))) → adx#(n__incr(adx(adx(incr(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(n__incr(activate(_x91)))))))))

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, cons, nil

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(_x91))))))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(adx(adx(n__adx(n__incr(incr(_x91))))))) 
adx#(n__incr(adx(n__adx(adx(n__incr(incr(_x91))))))) 
adx#(n__incr(adx(adx(adx(n__incr(nil)))))) 
adx#(n__incr(adx(adx(adx(n__incr(n__incr(_x71))))))) 
adx#(n__incr(adx(adx(adx(n__incr(cons(s(_x72), n__incr(activate(_x71))))))))) 
adx#(n__incr(n__adx(adx(adx(n__incr(incr(_x91))))))) 
Thus, the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(_x91))))))) is replaced by the following rules:
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x71)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(nil)))))))) → adx#(n__incr(adx(adx(adx(n__incr(nil))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, _x71))))))))) → adx#(n__incr(adx(adx(adx(n__incr(cons(s(_x72), n__incr(activate(_x71)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(_x91)))))))

Problem 25: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(n__adx(n__adx(cons(0, n__zeros)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x61))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x111)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x131)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(adx(n__adx(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(activate(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(nil)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(nil))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(n__incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(n__adx(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(nil))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(incr(incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x201)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(_x201))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(activate(_x111)))))))))))
activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__zeros))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(zeros))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__incr(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(incr(activate(_x201))))))))))))))))))
activate#(n__adx(n__incr(n__zeros))) → adx#(incr(cons(0, n__zeros)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(n__incr(zeros))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(nil))))))) → adx#(n__incr(n__adx(n__adx(adx(nil)))))activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(n__adx(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__zeros))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(zeros)))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(adx(_x151)))))))))))))
activate#(n__adx(n__adx(n__incr(_x41)))) → adx#(n__adx(incr(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(n__zeros)))))) → adx#(n__incr(adx(adx(incr(zeros)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(n__adx(incr(zeros))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros)))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(incr(zeros)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(n__adx(n__incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(adx(activate(_x131)))))))))))))activate#(n__adx(n__adx(n__incr(_x41)))) → adx#(adx(incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(n__adx(n__adx(n__adx(incr(incr(zeros)))))))activate#(n__adx(n__adx(n__adx(_x41)))) → adx#(adx(adx(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(nil))))))))))))activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, n__incr(_x111)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(cons(s(_x72), n__incr(incr(activate(_x111))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(adx(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(incr(zeros)))))))activate#(n__adx(n__incr(n__incr(n__adx(n__zeros))))) → adx#(n__incr(incr(adx(zeros))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(adx(zeros)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(incr(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x101))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(_x101))))))))activate#(n__adx(n__incr(n__adx(_x51)))) → adx#(n__incr(adx(_x51)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(cons(_x62, _x61)))))))) → adx#(n__incr(n__adx(n__adx(adx(cons(s(_x62), n__incr(activate(_x61))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(zeros)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, n__zeros))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(cons(s(_x72), n__incr(zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(n__adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(adx(incr(incr(incr(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(n__adx(adx(zeros)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(n__adx(adx(incr(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(n__incr(adx(_x61))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(adx(zeros)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(adx(adx(_x151)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(n__adx(adx(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(adx(_x151)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(incr(cons(_x132, n__adx(incr(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x141)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(n__incr(adx(adx(activate(_x141))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x141)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(n__adx(adx(activate(_x141))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(incr(cons(0, n__zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(n__adx(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(n__incr(incr(adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x121)))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(adx(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(n__adx(adx(adx(adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__zeros))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(zeros))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(adx(adx(adx(_x71)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(n__adx(n__adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(activate(_x131))))))))))))))))activate#(n__adx(_x21)) → adx#(_x21)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__adx(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(cons(_x132, n__adx(adx(adx(activate(_x201))))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(n__incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x131)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(_x131)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__incr(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(_x111)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(incr(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x71)))))))) → adx#(n__incr(adx(n__adx(adx(incr(n__incr(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(nil)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(nil))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x81))))))) → adx#(n__incr(adx(adx(adx(adx(_x81))))))
incr#(cons(X, L)) → activate#(L)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x71)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__zeros)))) → adx#(n__incr(adx(zeros)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(activate(_x131)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(n__adx(n__zeros))))activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(zeros))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(nil))))))) → adx#(n__incr(adx(n__adx(adx(nil)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, _x71))))))))) → adx#(n__incr(adx(n__adx(adx(incr(cons(s(_x72), n__incr(activate(_x71)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(cons(0, n__zeros))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(n__adx(_x71))))))) → adx#(n__incr(adx(adx(n__incr(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(nil))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(nil)))))))
activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, n__incr(_x141)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(incr(cons(_x92, n__adx(incr(activate(_x141)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(n__incr(cons(_x132, n__adx(adx(zeros))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x141)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(n__adx(activate(_x141))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(n__incr(cons(_x132, n__adx(adx(zeros))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__incr(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(cons(_x132, n__adx(adx(incr(activate(_x201))))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(adx(_x111)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(n__adx(adx(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(n__adx(incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(n__adx(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(cons(_x82, _x81)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(incr(cons(_x82, n__adx(activate(_x81)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, _x71))))))))) → adx#(n__incr(adx(adx(adx(n__incr(cons(s(_x72), n__incr(activate(_x71)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(nil))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(nil)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(zeros)))))))))))
activate#(n__adx(n__adx(_x41))) → adx#(adx(_x41))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(adx(_x151)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x71)))))) → adx#(n__incr(adx(adx(incr(_x71)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(zeros)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(incr(n__zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__adx(n__adx(_x41)))) → adx#(n__adx(adx(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(n__adx(adx(incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(cons(_x132, n__adx(adx(zeros))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x131)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__adx(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__zeros)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x131)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(n__adx(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x131))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(incr(activate(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(n__incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__incr(n__adx(_x41))))) → adx#(n__incr(incr(n__adx(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(n__incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x201)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(n__incr(cons(_x132, n__adx(adx(_x201))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x201)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(n__incr(cons(_x132, n__adx(adx(_x201))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(_x81))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(zeros)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(nil)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(zeros)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(incr(incr(incr(activate(_x121))))))))))))activate#(n__adx(n__incr(n__incr(n__adx(cons(_x42, _x41)))))) → adx#(n__incr(incr(incr(cons(_x42, n__adx(activate(_x41)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x101))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(_x101))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(cons(_x72, _x71))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(cons(_x72, n__adx(activate(_x71))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(n__adx(n__adx(n__adx(incr(_x81))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(zeros))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__adx(_x151))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(adx(adx(activate(_x151)))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(n__incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x101))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(_x101))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(cons(0, n__zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x71)))))) → adx#(n__incr(adx(adx(n__incr(_x71)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(n__adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, n__zeros))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(cons(s(_x72), n__incr(cons(0, n__zeros)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(adx(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(cons(_x82, _x81)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(incr(cons(_x82, n__adx(activate(_x81)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(nil)))))))) → adx#(n__incr(adx(adx(adx(n__incr(nil))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(adx(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(activate(_x101))))))))))activate#(n__incr(_x21)) → incr#(_x21)
activate#(n__adx(n__incr(n__incr(n__adx(n__adx(_x61)))))) → adx#(n__incr(incr(adx(adx(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(n__adx(adx(zeros)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(incr(n__incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(incr(incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, _x141))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(incr(cons(_x92, n__adx(_x141)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(n__adx(n__adx(adx(incr(incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(n__incr(incr(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, _x91))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__incr(cons(_x92, n__adx(activate(_x91))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__zeros))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x101))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(_x101))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x141)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(n__incr(incr(adx(adx(activate(_x141))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(cons(0, n__zeros)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(zeros))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(n__zeros)))))) → adx#(n__incr(adx(adx(n__incr(zeros)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(n__adx(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(incr(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__adx(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x71)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(adx(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__zeros))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(zeros))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(adx(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__adx(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(adx(activate(_x201))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(zeros)))))))
activate#(n__adx(n__zeros)) → adx#(zeros)activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(n__adx(n__adx(n__adx(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(n__adx(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(n__incr(adx(nil))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(n__adx(nil))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(nil))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(adx(_x151)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(adx(_x151)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(nil)))))))) → adx#(n__incr(adx(n__adx(adx(incr(nil))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(n__adx(adx(incr(zeros))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(incr(zeros))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__adx(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(adx(adx(activate(_x201))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x131))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(incr(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(n__adx(adx(n__adx(zeros)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(adx(incr(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, n__adx(_x111)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(cons(s(_x72), n__incr(adx(activate(_x111))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x121))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(_x121))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(adx(zeros))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(n__incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(n__incr(incr(adx(adx(_x151)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(n__incr(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__incr(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(adx(incr(activate(_x201))))))))))))))))))activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(n__incr(adx(adx(_x151)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(n__adx(adx(_x151)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(_x141)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(incr(activate(_x141))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(adx(cons(0, n__zeros))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(incr(adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(n__adx(adx(adx(zeros)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(n__adx(n__adx(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__incr(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(n__incr(cons(_x132, n__adx(adx(incr(activate(_x201))))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__incr(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(n__incr(cons(_x132, n__adx(adx(incr(activate(_x201))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(adx(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, _x91))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(incr(cons(_x92, n__adx(activate(_x91))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(cons(_x62, _x61)))))))) → adx#(n__incr(adx(n__adx(adx(cons(s(_x62), n__incr(activate(_x61))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(activate(_x131)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x71))))))) → adx#(n__incr(adx(adx(incr(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(adx(activate(_x181))))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(n__adx(zeros))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x101))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(adx(_x101))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(adx(zeros)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x141)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(adx(adx(activate(_x141))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(n__adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(n__zeros))))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(incr(zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(n__incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(n__zeros)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(zeros)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x141)))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(adx(activate(_x141))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x131)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(_x131)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(adx(adx(activate(_x101))))))))))
activate#(n__incr(n__zeros)) → incr#(zeros)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(n__incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x91)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(n__incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x131)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(_x131)))))))))))activate#(n__adx(n__adx(_x41))) → adx#(n__adx(_x41))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(adx(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__zeros))))))) → adx#(n__incr(adx(adx(adx(adx(zeros))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(n__incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__incr(_x51))))) → adx#(n__incr(adx(incr(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(incr(incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x121))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(_x121))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(adx(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(incr(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(n__adx(adx(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(adx(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(adx(adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__zeros)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(zeros)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__adx(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(n__incr(cons(_x132, n__adx(adx(adx(activate(_x201))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__adx(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(n__incr(cons(_x132, n__adx(adx(adx(activate(_x201))))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, _x111))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(cons(s(_x72), n__incr(_x111))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x141)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(adx(activate(_x141))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(n__adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(n__adx(adx(zeros)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(adx(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x101))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(n__adx(adx(_x101))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(adx(n__zeros)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, n__zeros))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(cons(s(_x72), n__incr(n__zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x101))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(_x101))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(adx(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(n__adx(adx(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x61))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(n__incr(cons(_x132, n__adx(n__adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(n__incr(cons(_x132, n__adx(n__adx(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x81))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(n__adx(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(n__adx(adx(adx(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(n__adx(incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(zeros)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(n__incr(incr(adx(nil))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(adx(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x131)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(n__incr(incr(adx(n__adx(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x131))))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(incr(incr(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x102, _x91))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(cons(s(_x102), n__incr(activate(n__adx(activate(_x91)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(n__incr(adx(adx(_x151)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(incr(n__adx(adx(_x151)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(n__incr(adx(activate(_x51)))))
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(n__adx(activate(_x51)))))activate#(n__adx(n__incr(n__incr(n__adx(nil))))) → adx#(n__incr(incr(nil)))
activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(n__adx(adx(zeros))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__adx(n__zeros))) → adx#(n__adx(n__zeros))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x71)))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(n__adx(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x101))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(_x101))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(cons(0, n__zeros)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x71)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(incr(incr(cons(0, n__zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(incr(incr(adx(adx(_x151)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(n__incr(adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(n__adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__adx(_x111))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(n__incr(cons(_x132, n__adx(activate(_x131))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(adx(zeros)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(n__incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x151))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(adx(incr(activate(_x151)))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(adx(adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x201)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(adx(_x201))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__adx(_x121)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(adx(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x101))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(adx(_x101))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(n__adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(n__adx(n__adx(adx(incr(incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(zeros)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x181))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(incr(cons(_x132, n__adx(_x181)))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(n__adx(adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x201)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(cons(_x132, n__adx(adx(_x201))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(n__adx(adx(n__incr(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(n__adx(adx(incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(adx(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x81))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(n__zeros))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x111)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(_x111)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x131)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(n__adx(n__adx(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x131)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(n__incr(adx(n__adx(_x131)))))))))))))activate#(n__adx(n__incr(n__zeros))) → adx#(incr(n__zeros))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(n__adx(adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, _x71))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(cons(s(_x72), n__incr(activate(_x71)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(incr(adx(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(adx(incr(incr(incr(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(_x61))))) → adx#(n__incr(adx(adx(_x61))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(n__incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(n__adx(adx(incr(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(n__adx(adx(n__adx(_x71)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(n__adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(n__adx(adx(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(adx(incr(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x131)))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(incr(_x131)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(adx(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(n__adx(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(n__incr(incr(adx(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(incr(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(n__adx(adx(n__adx(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, n__zeros))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(incr(cons(_x92, n__adx(zeros)))))))))))
activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(n__adx(n__adx(zeros))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__zeros))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, n__adx(_x141)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(incr(cons(_x92, n__adx(adx(activate(_x141)))))))))))))
activate#(n__adx(n__adx(n__zeros))) → adx#(n__adx(cons(0, n__zeros)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x131))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(incr(activate(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x131)))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(n__adx(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(n__incr(incr(adx(adx(_x151)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(n__incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(adx(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(adx(adx(n__adx(_x71)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, n__zeros))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(cons(s(_x72), n__incr(zeros))))))))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(adx(adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(n__adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(n__adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(incr(incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(n__adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(nil))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(n__adx(adx(adx(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(n__incr(incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__zeros)))))))activate#(n__adx(n__incr(n__incr(n__adx(n__incr(_x61)))))) → adx#(n__incr(incr(adx(incr(activate(_x61))))))
activate#(n__adx(n__adx(n__zeros))) → adx#(adx(zeros))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(adx(_x151)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__zeros))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(adx(n__adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(adx(incr(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(n__incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, _x71))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(cons(s(_x72), n__incr(activate(_x71)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(n__adx(zeros)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(adx(nil))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(n__adx(_x71))))))) → adx#(n__incr(adx(adx(incr(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(n__adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x141))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(_x141))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(n__adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(incr(incr(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, _x91))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(incr(cons(_x92, n__adx(activate(_x91))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(incr(incr(n__zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__zeros))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(incr(cons(_x132, n__adx(zeros)))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(incr(incr(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x181))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(_x181)))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x101))))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(incr(_x101))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(n__adx(adx(_x151)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(n__incr(adx(adx(_x151)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__zeros))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(zeros)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(cons(_x132, n__adx(n__adx(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(n__incr(adx(activate(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(n__adx(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(n__zeros))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(n__incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(n__adx(n__adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(n__incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(n__incr(activate(_x91)))))))))

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, cons, nil

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(adx(activate(_x101)))))))))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(adx(zeros))))))))) 
adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(activate(_x101)))))))))) 
adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(adx(_x111))))))))) 
adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(adx(adx(activate(_x111))))))))))) 
adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(adx(incr(activate(_x111))))))))))) 
adx#(n__incr(n__adx(adx(n__adx(n__incr(n__incr(n__adx(adx(activate(_x101)))))))))) 
adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(n__adx(activate(_x101)))))))))) 
Thus, the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(adx(activate(_x101)))))))))) is replaced by the following rules:
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(adx(incr(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(adx(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(n__adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(n__incr(n__adx(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(adx(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(adx(zeros)))))))))

Problem 26: ForwardNarrowing

Dependency Pair Problem

Dependency Pairs

activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(adx(activate(_x181))))))))))))))))))adx#(cons(X, L)) → incr#(cons(X, n__adx(activate(L))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__zeros))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(zeros))))))))))activate#(n__adx(n__incr(_x41))) → adx#(n__incr(_x41))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__incr(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(incr(activate(_x201))))))))))))))))))activate#(n__adx(n__incr(n__zeros))) → adx#(incr(cons(0, n__zeros)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(n__incr(zeros))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(nil))))))) → adx#(n__incr(n__adx(n__adx(adx(nil)))))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(n__incr(n__adx(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__zeros))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(zeros)))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(adx(_x151)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(cons(s(_x142), n__incr(activate(n__adx(activate(_x131)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(cons(s(_x142), n__incr(activate(n__adx(activate(_x131)))))))))))))))))activate#(n__adx(n__adx(n__incr(_x41)))) → adx#(n__adx(incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(n__zeros)))))) → adx#(n__incr(adx(adx(incr(zeros)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(n__adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(n__adx(incr(zeros))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros)))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(incr(zeros)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(n__adx(n__incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x131)))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(adx(n__adx(_x131)))))))))))))activate#(n__adx(n__adx(n__incr(_x41)))) → adx#(adx(incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(adx(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(n__adx(n__adx(n__adx(incr(incr(zeros)))))))
activate#(n__adx(n__adx(n__adx(_x41)))) → adx#(adx(adx(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(nil))))))))))))
activate#(n__adx(n__incr(n__adx(_x41)))) → adx#(incr(adx(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, n__incr(_x111)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(cons(s(_x72), n__incr(incr(activate(_x111))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(adx(adx(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(incr(zeros)))))))
activate#(n__adx(n__incr(n__incr(n__adx(n__zeros))))) → adx#(n__incr(incr(adx(zeros))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(adx(zeros)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(incr(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x101))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(_x101))))))))
activate#(n__adx(n__incr(n__adx(_x51)))) → adx#(n__incr(adx(_x51)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(cons(_x62, _x61)))))))) → adx#(n__incr(n__adx(n__adx(adx(cons(s(_x62), n__incr(activate(_x61))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(zeros)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, n__zeros))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(cons(s(_x72), n__incr(zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(n__adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__zeros))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(zeros))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(adx(incr(incr(incr(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(n__adx(adx(zeros)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(adx(zeros))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(adx(activate(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(n__adx(adx(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(n__adx(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(incr(cons(_x132, n__adx(incr(adx(activate(_x201))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(n__adx(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(incr(cons(_x132, n__adx(incr(adx(activate(_x201))))))))))))))))))activate#(n__adx(n__incr(n__incr(n__adx(_x61))))) → adx#(n__incr(n__incr(adx(_x61))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(adx(zeros)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(adx(adx(_x151)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x131)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(n__incr(adx(n__adx(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x131)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(n__adx(n__adx(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(n__adx(adx(_x111)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(adx(_x151)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(incr(cons(_x132, n__adx(incr(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x141)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(n__incr(adx(adx(activate(_x141))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x141)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(n__adx(adx(activate(_x141))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(incr(cons(0, n__zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(n__adx(adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(n__incr(incr(adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x121)))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(adx(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(n__adx(adx(adx(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__zeros))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(zeros))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(adx(incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x111)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(n__incr(incr(_x111)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(adx(adx(adx(_x71)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(n__adx(n__adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(activate(_x131))))))))))))))))activate#(n__adx(_x21)) → adx#(_x21)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__adx(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(cons(_x132, n__adx(adx(adx(activate(_x201))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(n__incr(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(incr(cons(_x132, n__adx(incr(incr(activate(_x201))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(n__incr(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(incr(cons(_x132, n__adx(incr(incr(activate(_x201))))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x131)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(incr(incr(adx(n__adx(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(n__incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x131)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(_x131)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x111)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(incr(incr(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(n__incr(cons(_x132, n__adx(activate(_x131))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(n__incr(cons(_x132, n__adx(activate(_x131))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(n__adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__incr(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(_x111)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x141))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(_x141))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(nil))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(incr(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(nil)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(n__incr(nil))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x71)))))))) → adx#(n__incr(adx(n__adx(adx(incr(n__incr(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(nil)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(nil))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x81))))))) → adx#(n__incr(adx(adx(adx(adx(_x81))))))incr#(cons(X, L)) → activate#(L)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x71)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(_x71)))))))activate#(n__adx(n__incr(n__adx(n__zeros)))) → adx#(n__incr(adx(zeros)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(activate(_x131)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, n__incr(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(cons(s(_x142), n__incr(activate(n__adx(incr(activate(_x181))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, n__incr(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(cons(s(_x142), n__incr(activate(n__adx(incr(activate(_x181))))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(n__adx(n__zeros))))
activate#(n__adx(n__incr(n__incr(n__zeros)))) → adx#(n__incr(incr(zeros)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(zeros))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(nil))))))) → adx#(n__incr(adx(n__adx(adx(nil)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, _x71))))))))) → adx#(n__incr(adx(n__adx(adx(incr(cons(s(_x72), n__incr(activate(_x71)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(cons(0, n__zeros))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(n__adx(_x71))))))) → adx#(n__incr(adx(adx(n__incr(adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(nil))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(nil)))))))activate#(n__incr(n__incr(_x21))) → incr#(incr(activate(_x21)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, n__incr(_x141)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(incr(cons(_x92, n__adx(incr(activate(_x141)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(n__zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(n__incr(cons(_x132, n__adx(adx(zeros))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x141)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(n__adx(activate(_x141))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(n__incr(cons(_x132, n__adx(adx(zeros))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__incr(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(cons(_x132, n__adx(adx(incr(activate(_x201))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(adx(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(n__adx(adx(_x111)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(n__adx(incr(_x81))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(n__incr(cons(_x132, n__adx(incr(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(n__incr(cons(_x132, n__adx(incr(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x141)))))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(incr(incr(activate(_x141))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(adx(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(adx(incr(incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(n__adx(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(cons(_x82, _x81)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(incr(cons(_x82, n__adx(activate(_x81)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(n__incr(incr(adx(nil))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, _x71))))))))) → adx#(n__incr(adx(adx(adx(n__incr(cons(s(_x72), n__incr(activate(_x71)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(nil))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(nil)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(zeros)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x61))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(_x61))))))
activate#(n__adx(n__adx(_x41))) → adx#(adx(_x41))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(adx(_x151)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x91)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(n__incr(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x71)))))) → adx#(n__incr(adx(adx(incr(_x71)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(zeros)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(incr(n__zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(activate(_x71)))))))activate#(n__adx(n__adx(n__adx(_x41)))) → adx#(n__adx(adx(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros))))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(incr(zeros))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x111)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(incr(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(n__adx(adx(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x111)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(incr(incr(_x111)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(cons(_x132, n__adx(adx(zeros))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x131)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__adx(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__zeros)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__adx(_x201))))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(adx(adx(activate(_x201))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x131)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(n__adx(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x91)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(incr(n__incr(n__incr(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x131))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(incr(activate(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x121))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(incr(_x121))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(n__incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__incr(n__adx(_x41))))) → adx#(n__incr(incr(n__adx(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(n__incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x201)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(n__incr(cons(_x132, n__adx(adx(_x201))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x201)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(n__incr(cons(_x132, n__adx(adx(_x201))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(incr(incr(nil)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(zeros)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(_x61))))) → adx#(n__incr(n__adx(adx(_x61))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(nil)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(zeros)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(nil)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(nil)))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x201)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(adx(_x201))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(incr(incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__incr(n__adx(cons(_x42, _x41)))))) → adx#(n__incr(incr(incr(cons(_x42, n__adx(activate(_x41)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x101))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(_x101))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(cons(_x72, _x71))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(cons(_x72, n__adx(activate(_x71))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, _x91))))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(n__incr(n__adx(incr(cons(_x92, n__adx(activate(_x91))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(n__adx(n__adx(n__adx(incr(_x81))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(zeros))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__adx(_x151))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(adx(adx(activate(_x151)))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(nil))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(n__incr(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x111)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__incr(incr(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x121))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(_x121))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(cons(0, n__zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x101))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(_x101))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x121))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(_x121))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x71)))))) → adx#(n__incr(adx(adx(n__incr(_x71)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__zeros))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(incr(cons(_x132, n__adx(zeros)))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__zeros))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(incr(cons(_x132, n__adx(zeros)))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(n__adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(adx(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, n__zeros))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(cons(s(_x72), n__incr(cons(0, n__zeros)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(_x81))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(cons(_x82, _x81)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(incr(cons(_x82, n__adx(activate(_x81)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(nil)))))))) → adx#(n__incr(adx(adx(adx(n__incr(nil))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(n__incr(nil)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(adx(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(incr(incr(n__incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__incr(n__adx(n__adx(_x61)))))) → adx#(n__incr(incr(adx(adx(activate(_x61))))))activate#(n__incr(_x21)) → incr#(_x21)
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(incr(incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(n__adx(adx(zeros)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(incr(n__incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(n__adx(n__adx(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, _x141))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(incr(cons(_x92, n__adx(_x141)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(incr(incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(_x201)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(incr(cons(_x132, n__adx(incr(_x201))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(_x201)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(incr(cons(_x132, n__adx(incr(_x201))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(n__incr(n__adx(adx(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(n__adx(n__adx(adx(incr(incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(n__incr(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(n__incr(incr(nil)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, _x91))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__incr(cons(_x92, n__adx(activate(_x91))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(zeros)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__zeros))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x111)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(incr(incr(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(n__incr(incr(adx(activate(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(n__incr(incr(nil)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x101))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(_x101))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x141)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(n__incr(incr(adx(adx(activate(_x141))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(cons(0, n__zeros)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(zeros))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(n__zeros)))))) → adx#(n__incr(adx(adx(n__incr(zeros)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, n__adx(_x141)))))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(incr(cons(_x92, n__adx(adx(activate(_x141)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(n__adx(adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(incr(incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__adx(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x71)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x201)))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(_x201))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(adx(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__zeros))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(zeros))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(adx(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__adx(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(adx(activate(_x201))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(zeros)))))))
activate#(n__adx(n__zeros)) → adx#(zeros)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x111)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(n__incr(incr(_x111)))))))))
activate#(n__incr(n__adx(_x21))) → incr#(adx(activate(_x21)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(n__adx(n__adx(n__adx(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(_x51))))) → adx#(n__incr(adx(n__adx(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(n__incr(adx(nil))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(n__adx(nil))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(nil))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(adx(n__zeros)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x91)))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(incr(n__incr(n__incr(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(adx(_x151)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(adx(_x151)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(nil)))))))) → adx#(n__incr(adx(n__adx(adx(incr(nil))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(n__adx(adx(incr(zeros))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x131))))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__incr(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(adx(adx(adx(incr(zeros))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__adx(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(adx(adx(activate(_x201))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x131))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(incr(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(n__adx(adx(n__adx(zeros)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x101)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(n__incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__incr(_x201))))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(adx(incr(activate(_x201))))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x91)))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(incr(n__incr(n__incr(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(adx(incr(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x121))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x121))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, n__adx(_x111)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(cons(s(_x72), n__incr(adx(activate(_x111))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x121))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(_x121))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(adx(zeros))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(n__incr(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x91)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(n__incr(n__incr(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(n__incr(incr(adx(adx(_x151)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(n__incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(incr(n__incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(n__adx(zeros)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__incr(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(adx(incr(activate(_x201))))))))))))))))))activate#(n__adx(n__incr(n__incr(_x51)))) → adx#(n__incr(incr(_x51)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__adx(_x121)))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(adx(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(n__incr(adx(adx(_x151)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(n__adx(adx(_x151)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(_x141)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(incr(activate(_x141))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(adx(cons(0, n__zeros))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(incr(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(n__adx(adx(adx(zeros)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(nil)))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(nil))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x91)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(n__adx(n__adx(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__incr(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(n__incr(cons(_x132, n__adx(adx(incr(activate(_x201))))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__incr(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(n__incr(cons(_x132, n__adx(adx(incr(activate(_x201))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(adx(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__zeros))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(zeros))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, _x91))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(incr(cons(_x92, n__adx(activate(_x91))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(cons(_x62, _x61)))))))) → adx#(n__incr(adx(n__adx(adx(cons(s(_x62), n__incr(activate(_x61))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(activate(_x131)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x71))))))) → adx#(n__incr(adx(adx(incr(incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(adx(activate(_x181))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x141))))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(incr(_x141))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__zeros))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(zeros))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(cons(_x92, _x91))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__incr(cons(s(_x92), n__incr(activate(_x91)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x111)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(n__incr(incr(_x111)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(incr(cons(_x132, n__adx(incr(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(incr(cons(_x132, n__adx(incr(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(n__adx(zeros))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(incr(incr(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x101))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(adx(_x101))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x181))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(incr(cons(_x132, n__adx(_x181)))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x181))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(incr(cons(_x132, n__adx(_x181)))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(adx(zeros)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x141)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(adx(adx(activate(_x141))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(n__incr(nil)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(n__adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(adx(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(adx(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(n__zeros))))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(incr(zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(n__incr(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(n__zeros)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(zeros)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(incr(n__incr(incr(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x141)))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(adx(activate(_x141))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x131)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(_x131)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(adx(adx(activate(_x101))))))))))
activate#(n__incr(n__zeros)) → incr#(zeros)activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, n__incr(_x141)))))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(incr(cons(_x92, n__adx(incr(activate(_x141)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(_x81))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__zeros))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(zeros))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(n__incr(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x111)))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__incr(incr(_x111)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x91)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(n__incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x131)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(_x131)))))))))))activate#(n__adx(n__adx(_x41))) → adx#(n__adx(_x41))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(adx(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(n__zeros))))))) → adx#(n__incr(adx(adx(adx(adx(zeros))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(n__incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__incr(_x51))))) → adx#(n__incr(adx(incr(activate(_x51)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x102, _x91))))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(cons(s(_x102), n__incr(activate(n__adx(activate(_x91)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(cons(_x192, _x191))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(incr(cons(_x192, n__adx(activate(_x191)))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x121))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(_x121))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(incr(incr(adx(nil))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(incr(incr(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x101)))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(adx(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(incr(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(n__adx(adx(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x91)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__incr(n__incr(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(adx(_x111)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(adx(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__zeros)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(zeros)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__adx(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(n__incr(cons(_x132, n__adx(adx(adx(activate(_x201))))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__adx(_x201))))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(n__incr(cons(_x132, n__adx(adx(adx(activate(_x201))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, _x111))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(cons(s(_x72), n__incr(_x111))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, _x91))))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(n__incr(cons(_x92, n__adx(activate(_x91))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, n__zeros))))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(incr(cons(_x92, n__adx(zeros)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x141)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(adx(activate(_x141))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(cons(_x92, _x91))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(n__incr(cons(s(_x92), n__incr(activate(_x91)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(n__incr(incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(adx(n__adx(incr(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(n__adx(adx(zeros)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(adx(cons(0, n__zeros))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(adx(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(incr(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x101))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(n__adx(adx(_x101))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(adx(n__zeros)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, n__zeros))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(cons(s(_x72), n__incr(n__zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x101))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(_x101))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(adx(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(n__adx(adx(adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x61))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(n__incr(cons(_x132, n__adx(n__adx(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(n__incr(cons(_x132, n__adx(n__adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(n__incr(n__adx(adx(zeros)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(cons(_x92, _x91))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(cons(s(_x92), n__incr(activate(_x91)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x81))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(n__adx(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(incr(incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(n__adx(adx(adx(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(cons(0, n__zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(n__adx(adx(n__adx(incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(zeros)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(n__incr(incr(adx(nil))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(adx(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__zeros))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(zeros))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x131)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(n__incr(incr(adx(n__adx(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x141)))))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(incr(adx(activate(_x141))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x102, _x91))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(cons(s(_x102), n__incr(activate(n__adx(activate(_x91)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x131))))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(incr(incr(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(incr(n__adx(adx(_x151)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(n__incr(adx(adx(_x151)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(incr(activate(_x101))))))))))
activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(n__incr(adx(activate(_x51)))))activate#(n__adx(n__incr(n__incr(n__adx(_x51))))) → adx#(n__incr(incr(n__adx(activate(_x51)))))
activate#(n__adx(n__incr(n__incr(n__adx(nil))))) → adx#(n__incr(incr(nil)))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x91)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__incr(n__incr(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(n__adx(adx(zeros))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(n__zeros)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(incr(cons(_x132, n__adx(incr(zeros))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(n__zeros)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(incr(cons(_x132, n__adx(incr(zeros))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros)))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(incr(incr(incr(zeros)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(incr(activate(_x121))))))))))))activate#(n__adx(n__adx(n__zeros))) → adx#(n__adx(n__zeros))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x71)))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(n__adx(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x101))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(_x101))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(cons(0, n__zeros)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x71)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__incr(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(incr(incr(cons(0, n__zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(incr(incr(adx(adx(_x151)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(incr(incr(incr(adx(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(n__adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(n__incr(adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__adx(_x111))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(n__incr(cons(_x132, n__adx(activate(_x131))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(adx(zeros)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(_x141)))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(incr(activate(_x141))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(incr(incr(nil)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x201)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(_x201))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(n__incr(n__adx(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(n__incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x151))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(adx(incr(activate(_x151)))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(adx(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(adx(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(incr(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(adx(incr(incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x201)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(adx(_x201))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__adx(_x121)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(adx(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(nil)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(nil))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(nil))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x131))))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(incr(activate(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x101))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(adx(_x101))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(n__adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(n__adx(n__adx(adx(incr(incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(zeros)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x181))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(incr(cons(_x132, n__adx(_x181)))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(n__adx(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(adx(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x201)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(cons(_x132, n__adx(adx(_x201))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x71))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(activate(_x71)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(n__adx(adx(n__incr(activate(_x61))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(_x61)))))) → adx#(n__incr(n__adx(adx(incr(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(adx(adx(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x81))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(zeros)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(adx(adx(n__zeros))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(_x111)))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(_x111)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(nil))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(nil)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(nil))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x131)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(n__adx(n__adx(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x131)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(n__incr(adx(n__adx(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(incr(cons(_x132, n__adx(incr(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__zeros))) → adx#(incr(n__zeros))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(n__adx(adx(incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))
activate#(n__adx(n__incr(_x41))) → adx#(incr(_x41))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, _x71))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(cons(s(_x72), n__incr(activate(_x71)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(incr(adx(activate(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(adx(incr(incr(incr(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(_x61))))) → adx#(n__incr(adx(adx(_x61))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(incr(cons(_x132, n__adx(incr(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(incr(cons(_x132, n__adx(incr(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x111)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(_x111)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(n__incr(incr(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(n__adx(activate(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(n__incr(adx(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(activate(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(n__adx(adx(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(n__incr(adx(nil))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(adx(incr(incr(n__adx(nil))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(n__adx(adx(n__adx(_x71)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(n__adx(n__adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(cons(_x92, _x91))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(n__incr(cons(s(_x92), n__incr(activate(_x91)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x61)))))) → adx#(n__incr(adx(n__adx(adx(activate(_x61))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(_x111))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(adx(incr(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x131)))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(incr(incr(incr(_x131)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(adx(_x91)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(n__adx(adx(incr(adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(nil)))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__incr(nil))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(n__adx(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(adx(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(n__incr(incr(adx(activate(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(incr(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(adx(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(n__adx(adx(n__adx(adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(incr(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(_x81))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, n__zeros))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(incr(cons(_x92, n__adx(zeros)))))))))))activate#(n__adx(n__incr(n__incr(n__incr(_x51))))) → adx#(n__incr(incr(incr(activate(_x51)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__zeros))))) → adx#(n__incr(n__adx(n__adx(zeros))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__zeros))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, n__adx(_x141)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(incr(cons(_x92, n__adx(adx(activate(_x141)))))))))))))activate#(n__adx(n__adx(n__zeros))) → adx#(n__adx(cons(0, n__zeros)))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x131))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(incr(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x131)))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(n__adx(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(n__adx(adx(adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(n__incr(incr(adx(adx(_x151)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x131)))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(_x131)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x91)))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(adx(_x91)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(n__incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(adx(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(_x71)))))) → adx#(n__incr(adx(adx(n__adx(_x71)))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, n__zeros))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(cons(s(_x72), n__incr(zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__adx(_x121)))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(adx(activate(_x121))))))))))))activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(incr(incr(activate(_x41))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, _x141))))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(incr(cons(_x92, n__adx(_x141)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(adx(adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__adx(_x121)))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(incr(adx(activate(_x121))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(adx(n__adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(n__adx(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x111)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(n__incr(incr(_x111)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(incr(zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(incr(incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(_x91))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(n__adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(nil))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x191)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(n__adx(_x191))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x111))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(n__adx(adx(adx(activate(_x111)))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x121)))))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(adx(n__incr(incr(incr(activate(_x121))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__adx(_x121)))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(adx(activate(_x121))))))))))))activate#(n__adx(n__incr(n__incr(n__adx(n__incr(_x61)))))) → adx#(n__incr(incr(adx(incr(activate(_x61))))))
activate#(n__adx(n__adx(n__zeros))) → adx#(adx(zeros))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(adx(_x151)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__zeros))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(incr(zeros))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__zeros))))))))) → adx#(n__incr(n__adx(adx(adx(n__incr(adx(n__adx(zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__adx(_x71))))))) → adx#(n__incr(adx(adx(adx(n__adx(activate(_x71)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(_x111))))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(adx(adx(incr(incr(activate(_x111)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(n__adx(incr(n__incr(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(cons(_x72, _x71))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(cons(s(_x72), n__incr(activate(_x71)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__zeros))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(incr(zeros))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(_x81)))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__adx(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__zeros)))))) → adx#(n__incr(adx(adx(n__adx(zeros)))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(nil)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(incr(incr(adx(nil))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x91)))))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__incr(n__adx(_x71))))))) → adx#(n__incr(adx(adx(incr(adx(activate(_x71)))))))activate#(n__adx(n__incr(n__zeros))) → adx#(n__incr(zeros))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(n__adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(n__incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__incr(_x41)))) → adx#(n__incr(n__incr(activate(_x41))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x141))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(_x141))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(n__adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(incr(incr(adx(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x131))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(incr(incr(incr(incr(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(_x81))))))) → adx#(n__incr(adx(adx(adx(incr(_x81))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x92, _x91))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(incr(cons(_x92, n__adx(activate(_x91))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(incr(cons(_x132, n__adx(n__incr(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__incr(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(incr(cons(_x132, n__adx(n__incr(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__zeros)))))))) → adx#(n__incr(adx(n__adx(adx(incr(incr(n__zeros)))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__zeros))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(incr(cons(_x132, n__adx(zeros)))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(_x91))))))))) → adx#(n__incr(adx(adx(adx(incr(incr(adx(activate(_x91)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(incr(activate(_x81))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x181))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(_x181)))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__incr(_x101))))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(incr(_x101))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(nil)))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(n__incr(nil))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(n__adx(adx(_x151)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(_x151)))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(n__incr(adx(adx(_x151)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, _x131))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(incr(cons(_x132, n__adx(activate(_x131))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__zeros))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(n__adx(zeros))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__zeros)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(zeros)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__incr(cons(_x132, n__adx(n__adx(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(adx(incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(incr(incr(activate(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(n__incr(adx(activate(_x131)))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(_x131))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(adx(incr(incr(n__adx(activate(_x131)))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__zeros)))))))) → adx#(n__incr(adx(adx(adx(n__incr(adx(zeros)))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__incr(n__incr(n__incr(_x131)))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(adx(adx(incr(incr(incr(_x131)))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(n__incr(cons(_x132, n__adx(adx(n__zeros))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(_x81)))))))) → adx#(n__incr(adx(adx(n__adx(n__incr(n__incr(activate(_x81))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x91)))))))))) → adx#(n__incr(n__adx(adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x91)))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(n__incr(_x111)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__incr(incr(_x111)))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(n__incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__adx(n__adx(n__adx(_x101)))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__adx(n__adx(n__adx(activate(_x101))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x132, n__adx(_x181)))))))))))))))) → adx#(n__incr(adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(n__incr(cons(_x132, n__adx(adx(activate(_x181)))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__incr(_x91))))))))) → adx#(n__incr(adx(adx(adx(n__incr(incr(n__incr(activate(_x91)))))))))

Rewrite Rules

incr(nil) → nilincr(cons(X, L)) → cons(s(X), n__incr(activate(L)))
adx(nil) → niladx(cons(X, L)) → incr(cons(X, n__adx(activate(L))))
nats → adx(zeros)zeros → cons(0, n__zeros)
head(cons(X, L)) → Xtail(cons(X, L)) → activate(L)
incr(X) → n__incr(X)adx(X) → n__adx(X)
zeros → n__zerosactivate(n__incr(X)) → incr(activate(X))
activate(n__adx(X)) → adx(activate(X))activate(n__zeros) → zeros
activate(X) → X

Original Signature

Termination of terms over the following signature is verified: n__incr, tail, n__adx, activate, nats, 0, s, zeros, adx, incr, head, n__zeros, cons, nil

Strategy

The right-hand side of the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(adx(activate(_x181)))))))))))))))))) is narrowed to the following relevant and irrelevant terms (a narrowing is irrelevant if by dropping it the correctness (and completeness) of the processor is not influenced).
Relevant TermsIrrelevant Terms
adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(adx(_x201))))))))))))))))) 
adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(cons(s(_x142), n__incr(activate(n__adx(adx(activate(_x181)))))))))))))))))) 
adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(cons(s(_x142), n__incr(activate(n__adx(adx(activate(_x181)))))))))))))))))) 
adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(adx(activate(_x181)))))))))))))))))) 
adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(n__adx(adx(activate(_x181))))))))))))))))) 
adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(adx(adx(activate(_x201))))))))))))))))))) 
adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(incr(cons(s(_x142), n__adx(activate(n__incr(activate(n__adx(adx(activate(_x181)))))))))))))))))))) 
adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(adx(activate(adx(activate(_x181)))))))))))))))))) 
adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(adx(zeros))))))))))))))))) 
adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(n__adx(activate(_x181)))))))))))))))))) 
adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(adx(incr(activate(_x201))))))))))))))))))) 
Thus, the rule activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(adx(activate(_x181)))))))))))))))))) is replaced by the following rules:
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(adx(activate(_x181))))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, n__adx(n__incr(_x201))))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(adx(incr(activate(_x201)))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(n__adx(activate(_x181))))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, n__adx(n__adx(_x201))))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(adx(adx(activate(_x201)))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(n__adx(adx(activate(_x181)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(incr(cons(s(_x142), n__adx(activate(n__incr(activate(n__adx(adx(activate(_x181))))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, n__adx(_x201)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(adx(_x201)))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(n__adx(cons(s(_x142), n__incr(activate(n__adx(adx(activate(_x181))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(adx(cons(s(_x142), n__incr(activate(n__adx(adx(activate(_x181))))))))))))))))))activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, n__adx(_x181)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(adx(activate(adx(activate(_x181))))))))))))))))))
activate#(n__adx(n__incr(n__adx(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(n__incr(n__incr(n__adx(n__adx(cons(_x142, n__adx(n__zeros)))))))))))))))) → adx#(n__incr(n__adx(n__adx(adx(n__incr(n__incr(n__adx(n__adx(n__incr(incr(adx(cons(s(_x142), n__incr(activate(n__adx(adx(zeros)))))))))))))))))