MAYBE
(ignored inputs)COMMENT translated from Cops 203
*** Computating Strongly Quasi-Reducible Parts ***
TRS:
   [ +(?x,0) -> ?x,
     +(?x,s(?y)) -> s(+(?x,?y)),
     *(?x,0) -> 0,
     *(?x,s(?y)) -> +(*(?x,?y),?x),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     +(?x,?y) -> +(?y,?x),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(?x,?y) -> *(?y,?x),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)) ]
Constructors: {0,s}
Defined function symbols: {*,+}
Constructor subsystem:
   [ ]
Rule part & Conj Part:
   [ +(?x,0) -> ?x,
     +(?x,s(?y)) -> s(+(?x,?y)),
     *(?x,0) -> 0,
     *(?x,s(?y)) -> +(*(?x,?y),?x) ]
   [ +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     +(?x,?y) -> +(?y,?x),
     *(?x,?y) -> *(?y,?x) ]
*** Ground Confluence Check by Rewriting Induction ***
Sort: {Nat}
Signature:
   [ * : Nat,Nat -> Nat,
     + : Nat,Nat -> Nat,
     0 : Nat,
     s : Nat -> Nat ]
Rule Part:
   [ +(?x,0) -> ?x,
     +(?x,s(?y)) -> s(+(?x,?y)),
     *(?x,0) -> 0,
     *(?x,s(?y)) -> +(*(?x,?y),?x) ]
Conjecture Part:
   [ +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     +(?x,?y) = +(?y,?x),
     *(?x,?y) = *(?y,?x) ]
Precedence (by weight): {(*,3),(+,2),(0,1),(s,0)}
Rule part is confluent.
R0 is ground confluent.
Check conj part consists of inductive theorems of R0.
Rules:
   [ +(?x,0) -> ?x,
     +(?x,s(?y)) -> s(+(?x,?y)),
     *(?x,0) -> 0,
     *(?x,s(?y)) -> +(*(?x,?y),?x) ]
Conjectures:
   [ +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     +(?x,?y) = +(?y,?x),
     *(?x,?y) = *(?y,?x) ]
STEP 0
ES:
   [ +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     +(?x,?y) = +(?y,?x),
     *(?x,?y) = *(?y,?x) ]
HS:
   [ ]
ES0:
   [ +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     +(?x,?y) = +(?y,?x),
     *(?x,?y) = *(?y,?x) ]
HS0:
   [ ]
ES1:
   [ +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     +(?x,?y) = +(?y,?x),
     *(?x,?y) = *(?y,?x) ]
HS1:
   [ ]
Expand +(?x,?y) = +(?y,?x)
   [ ?x_1 = +(0,?x_1),
     s(+(?x_2,?y_2)) = +(s(?y_2),?x_2) ]
ES2:
   [ ?x_1 = +(0,?x_1),
     s(+(?x_2,?y_2)) = +(s(?y_2),?x_2),
     *(?x,?y) = *(?y,?x),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)) ]
HS2:
   [ +(?x,?y) -> +(?y,?x) ]
STEP 1
ES:
   [ ?x_1 = +(0,?x_1),
     s(+(?x_2,?y_2)) = +(s(?y_2),?x_2),
     *(?x,?y) = *(?y,?x),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)) ]
HS:
   [ +(?x,?y) -> +(?y,?x) ]
ES0:
   [ ?x_1 = +(0,?x_1),
     s(+(?x_2,?y_2)) = +(s(?y_2),?x_2),
     *(?x,?y) = *(?y,?x),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)) ]
HS0:
   [ +(?x,?y) -> +(?y,?x) ]
ES1:
   [ ?x_1 = +(0,?x_1),
     s(+(?x_2,?y_2)) = +(s(?y_2),?x_2),
     *(?x,?y) = *(?y,?x),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)) ]
HS1:
   [ +(?x,?y) -> +(?y,?x) ]
Expand +(0,?x_1) = ?x_1
   [ 0 = 0,
     s(+(0,?y_2)) = s(?y_2) ]
ES2:
   [ 0 = 0,
     s(+(0,?y_2)) = s(?y_2),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(?x,?y) = *(?y,?x),
     s(+(?x_2,?y_2)) = +(s(?y_2),?x_2) ]
HS2:
   [ +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 2
ES:
   [ 0 = 0,
     s(+(0,?y_2)) = s(?y_2),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(?x,?y) = *(?y,?x),
     s(+(?x_2,?y_2)) = +(s(?y_2),?x_2) ]
HS:
   [ +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ 0 = 0,
     s(?y_2) = s(?y_2),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(?x,?y) = *(?y,?x),
     s(+(?x_2,?y_2)) = +(s(?y_2),?x_2) ]
HS0:
   [ +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(?x,?y) = *(?y,?x),
     s(+(?x_2,?y_2)) = +(s(?y_2),?x_2) ]
HS1:
   [ +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand *(?x,?y) = *(?y,?x)
   [ 0 = *(0,?x_3),
     +(*(?x_4,?y_4),?x_4) = *(s(?y_4),?x_4) ]
ES2:
   [ 0 = *(0,?x_3),
     +(*(?x_4,?y_4),?x_4) = *(s(?y_4),?x_4),
     s(+(?x_2,?y_2)) = +(s(?y_2),?x_2),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)) ]
HS2:
   [ *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 3
ES:
   [ 0 = *(0,?x_3),
     +(*(?x_4,?y_4),?x_4) = *(s(?y_4),?x_4),
     s(+(?x_2,?y_2)) = +(s(?y_2),?x_2),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)) ]
HS:
   [ *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ 0 = *(0,?x_3),
     +(*(?x_4,?y_4),?x_4) = *(s(?y_4),?x_4),
     s(+(?x_2,?y_2)) = +(s(?y_2),?x_2),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)) ]
HS0:
   [ *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ 0 = *(0,?x_3),
     +(*(?x_4,?y_4),?x_4) = *(s(?y_4),?x_4),
     s(+(?x_2,?y_2)) = +(s(?y_2),?x_2),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)) ]
HS1:
   [ *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand *(0,?x_3) = 0
   [ 0 = 0,
     +(*(0,?y_4),0) = 0 ]
ES2:
   [ 0 = 0,
     *(0,?y_4) = 0,
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     s(+(?x_2,?y_2)) = +(s(?y_2),?x_2),
     +(*(?x_4,?y_4),?x_4) = *(s(?y_4),?x_4) ]
HS2:
   [ *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 4
ES:
   [ 0 = 0,
     *(0,?y_4) = 0,
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     s(+(?x_2,?y_2)) = +(s(?y_2),?x_2),
     +(*(?x_4,?y_4),?x_4) = *(s(?y_4),?x_4) ]
HS:
   [ *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ 0 = 0,
     0 = 0,
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     s(+(?x_2,?y_2)) = +(s(?y_2),?x_2),
     +(*(?x_4,?y_4),?x_4) = *(s(?y_4),?x_4) ]
HS0:
   [ *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     s(+(?x_2,?y_2)) = +(s(?y_2),?x_2),
     +(*(?x_4,?y_4),?x_4) = *(s(?y_4),?x_4) ]
HS1:
   [ *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand +(s(?y_2),?x_2) = s(+(?x_2,?y_2))
   [ s(?y) = s(+(0,?y)),
     s(+(s(?y),?y_2)) = s(+(s(?y_2),?y)) ]
ES2:
   [ s(?y) = s(+(0,?y)),
     s(+(s(?y),?y_2)) = s(+(s(?y_2),?y)),
     +(*(?x_4,?y_4),?x_4) = *(s(?y_4),?x_4),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)) ]
HS2:
   [ +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 5
ES:
   [ s(?y) = s(+(0,?y)),
     s(+(s(?y),?y_2)) = s(+(s(?y_2),?y)),
     +(*(?x_4,?y_4),?x_4) = *(s(?y_4),?x_4),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)) ]
HS:
   [ +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ s(?y) = s(?y),
     s(s(+(?y_2,?y))) = s(s(+(?y,?y_2))),
     +(*(?x_4,?y_4),?x_4) = *(s(?y_4),?x_4),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)) ]
HS0:
   [ +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ +(*(?x_4,?y_4),?x_4) = *(s(?y_4),?x_4),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)) ]
HS1:
   [ +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand *(s(?y_4),?x_4) = +(*(?x_4,?y_4),?x_4)
   [ 0 = +(*(0,?y),0),
     +(*(s(?y),?y_4),s(?y)) = +(*(s(?y_4),?y),s(?y_4)) ]
ES2:
   [ 0 = +(*(0,?y),0),
     s(+(*(s(?y),?y_4),?y)) = +(*(s(?y_4),?y),s(?y_4)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)) ]
HS2:
   [ *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 6
ES:
   [ 0 = +(*(0,?y),0),
     s(+(*(s(?y),?y_4),?y)) = +(*(s(?y_4),?y),s(?y_4)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)) ]
HS:
   [ *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ 0 = 0,
     s(+(+(*(?y_4,?y),?y_4),?y)) = s(+(+(*(?y,?y_4),?y),?y_4)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)) ]
HS0:
   [ *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ s(+(+(*(?y_4,?y),?y_4),?y)) = s(+(+(*(?y,?y_4),?y),?y_4)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     *(*(?x,?y),?z) = *(?x,*(?y,?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)) ]
HS1:
   [ *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand *(*(?x,?y),?z) = *(?x,*(?y,?z))
   [ *(0,?z) = *(?x_3,*(0,?z)),
     *(+(*(?x_4,?y_4),?x_4),?z) = *(?x_4,*(s(?y_4),?z)) ]
ES2:
   [ 0 = *(?x_3,*(0,?z)),
     *(+(*(?x_4,?y_4),?x_4),?z) = *(?x_4,*(s(?y_4),?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     s(+(+(*(?y_4,?y),?y_4),?y)) = s(+(+(*(?y,?y_4),?y),?y_4)) ]
HS2:
   [ *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 7
ES:
   [ 0 = *(?x_3,*(0,?z)),
     *(+(*(?x_4,?y_4),?x_4),?z) = *(?x_4,*(s(?y_4),?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     s(+(+(*(?y_4,?y),?y_4),?y)) = s(+(+(*(?y,?y_4),?y),?y_4)) ]
HS:
   [ *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ 0 = 0,
     *(+(*(?x_4,?y_4),?x_4),?z) = *(?x_4,+(*(?z,?y_4),?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     s(+(+(*(?y_4,?y),?y_4),?y)) = s(+(+(*(?y,?y_4),?y),?y_4)) ]
HS0:
   [ *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ *(+(*(?x_4,?y_4),?x_4),?z) = *(?x_4,+(*(?z,?y_4),?z)),
     +(+(?x,?y),?z) = +(?x,+(?y,?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     s(+(+(*(?y_4,?y),?y_4),?y)) = s(+(+(*(?y,?y_4),?y),?y_4)) ]
HS1:
   [ *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand +(+(?x,?y),?z) = +(?x,+(?y,?z))
   [ +(?x_1,?z) = +(?x_1,+(0,?z)),
     +(s(+(?x_2,?y_2)),?z) = +(?x_2,+(s(?y_2),?z)) ]
ES2:
   [ +(?x_1,?z) = +(?x_1,+(0,?z)),
     s(+(?z,+(?x_2,?y_2))) = +(?x_2,+(s(?y_2),?z)),
     s(+(+(*(?y_4,?y),?y_4),?y)) = s(+(+(*(?y,?y_4),?y),?y_4)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     *(+(*(?x_4,?y_4),?x_4),?z) = *(?x_4,+(*(?z,?y_4),?z)) ]
HS2:
   [ +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 8
ES:
   [ +(?x_1,?z) = +(?x_1,+(0,?z)),
     s(+(?z,+(?x_2,?y_2))) = +(?x_2,+(s(?y_2),?z)),
     s(+(+(*(?y_4,?y),?y_4),?y)) = s(+(+(*(?y,?y_4),?y),?y_4)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     *(+(*(?x_4,?y_4),?x_4),?z) = *(?x_4,+(*(?z,?y_4),?z)) ]
HS:
   [ +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ +(?x_1,?z) = +(?x_1,?z),
     s(+(?z,+(?x_2,?y_2))) = s(+(?x_2,+(?z,?y_2))),
     s(+(*(?y_4,?y),+(?y_4,?y))) = s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     *(+(*(?x_4,?y_4),?x_4),?z) = *(?x_4,+(*(?z,?y_4),?z)) ]
HS0:
   [ +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ s(+(?z,+(?x_2,?y_2))) = s(+(?x_2,+(?z,?y_2))),
     s(+(*(?y_4,?y),+(?y_4,?y))) = s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     *(+(*(?x_4,?y_4),?x_4),?z) = *(?x_4,+(*(?z,?y_4),?z)) ]
HS1:
   [ +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand s(+(?z,+(?x_2,?y_2))) = s(+(?x_2,+(?z,?y_2)))
   [ s(+(?z,?x_3)) = s(+(?x_3,+(?z,0))),
     s(+(?z,s(+(?x_4,?y_4)))) = s(+(?x_4,+(?z,s(?y_4)))) ]
ES2:
   [ s(+(?z,?x_3)) = s(+(?x_3,+(?z,0))),
     s(s(+(?z,+(?x_4,?y_4)))) = s(+(?x_4,+(?z,s(?y_4)))),
     *(+(*(?x_4,?y_4),?x_4),?z) = *(?x_4,+(*(?z,?y_4),?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) = s(+(*(?y,?y_4),+(?y,?y_4))) ]
HS2:
   [ s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 9
ES:
   [ s(+(?z,?x_3)) = s(+(?x_3,+(?z,0))),
     s(s(+(?z,+(?x_4,?y_4)))) = s(+(?x_4,+(?z,s(?y_4)))),
     *(+(*(?x_4,?y_4),?x_4),?z) = *(?x_4,+(*(?z,?y_4),?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) = s(+(*(?y,?y_4),+(?y,?y_4))) ]
HS:
   [ s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ s(+(?z,?x_3)) = s(+(?x_3,?z)),
     s(s(+(?z,+(?x_4,?y_4)))) = s(s(+(?x_4,+(?z,?y_4)))),
     *(+(*(?x_4,?y_4),?x_4),?z) = *(?x_4,+(*(?z,?y_4),?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) = s(+(*(?y,?y_4),+(?y,?y_4))) ]
HS0:
   [ s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ *(+(*(?x_4,?y_4),?x_4),?z) = *(?x_4,+(*(?z,?y_4),?z)),
     *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) = s(+(*(?y,?y_4),+(?y,?y_4))) ]
HS1:
   [ s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand *(?x,+(?y,?z)) = +(*(?x,?y),*(?x,?z))
   [ *(?x,?x_1) = +(*(?x,?x_1),*(?x,0)),
     *(?x,s(+(?x_2,?y_2))) = +(*(?x,?x_2),*(?x,s(?y_2))) ]
ES2:
   [ *(?x,?x_1) = +(*(?x,?x_1),*(?x,0)),
     +(*(?x,+(?x_2,?y_2)),?x) = +(*(?x,?x_2),*(?x,s(?y_2))),
     s(+(*(?y_4,?y),+(?y_4,?y))) = s(+(*(?y,?y_4),+(?y,?y_4))),
     *(+(*(?x_4,?y_4),?x_4),?z) = *(?x_4,+(*(?z,?y_4),?z)) ]
HS2:
   [ *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 10
ES:
   [ *(?x,?x_1) = +(*(?x,?x_1),*(?x,0)),
     +(*(?x,+(?x_2,?y_2)),?x) = +(*(?x,?x_2),*(?x,s(?y_2))),
     s(+(*(?y_4,?y),+(?y_4,?y))) = s(+(*(?y,?y_4),+(?y,?y_4))),
     *(+(*(?x_4,?y_4),?x_4),?z) = *(?x_4,+(*(?z,?y_4),?z)) ]
HS:
   [ *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ *(?x,?x_1) = *(?x,?x_1),
     +(*(?x,?x_2),+(*(?x,?y_2),?x)) = +(*(?x,?x_2),+(*(?x,?y_2),?x)),
     s(+(*(?y_4,?y),+(?y_4,?y))) = s(+(*(?y,?y_4),+(?y,?y_4))),
     *(+(*(?x_4,?y_4),?x_4),?z) = +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)) ]
HS0:
   [ *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ s(+(*(?y_4,?y),+(?y_4,?y))) = s(+(*(?y,?y_4),+(?y,?y_4))),
     *(+(*(?x_4,?y_4),?x_4),?z) = +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)) ]
HS1:
   [ *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand s(+(*(?y_4,?y),+(?y_4,?y))) = s(+(*(?y,?y_4),+(?y,?y_4)))
   [ s(+(0,+(?x_7,0))) = s(+(*(0,?x_7),+(0,?x_7))),
     s(+(+(*(?x_8,?y_8),?x_8),+(?x_8,s(?y_8)))) = s(+(*(s(?y_8),?x_8),+(s(?y_8),?x_8))) ]
ES2:
   [ s(?x_7) = s(+(*(0,?x_7),+(0,?x_7))),
     s(s(+(*(?x_8,?y_8),+(?x_8,+(?x_8,?y_8))))) = s(+(*(s(?y_8),?x_8),+(s(?y_8),?x_8))),
     *(+(*(?x_4,?y_4),?x_4),?z) = +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)) ]
HS2:
   [ s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 11
ES:
   [ s(?x_7) = s(+(*(0,?x_7),+(0,?x_7))),
     s(s(+(*(?x_8,?y_8),+(?x_8,+(?x_8,?y_8))))) = s(+(*(s(?y_8),?x_8),+(s(?y_8),?x_8))),
     *(+(*(?x_4,?y_4),?x_4),?z) = +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)) ]
HS:
   [ s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ s(?x_7) = s(?x_7),
     s(s(+(*(?x_8,?y_8),+(?x_8,+(?x_8,?y_8))))) = s(s(+(*(?x_8,?y_8),+(?x_8,+(?x_8,?y_8))))),
     *(+(*(?x_4,?y_4),?x_4),?z) = +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)) ]
HS0:
   [ s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ *(+(*(?x_4,?y_4),?x_4),?z) = +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)) ]
HS1:
   [ s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand *(+(*(?x_4,?y_4),?x_4),?z) = +(*(?x_4,*(?z,?y_4)),*(?x_4,?z))
   [ *(+(0,?x_7),?z) = +(*(?x_7,*(?z,0)),*(?x_7,?z)),
     *(+(+(*(?x_8,?y_8),?x_8),?x_8),?z) = +(*(?x_8,*(?z,s(?y_8))),*(?x_8,?z)) ]
ES2:
   [ *(?x_7,?z) = +(*(?x_7,*(?z,0)),*(?x_7,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) = +(*(?x_8,*(?z,s(?y_8))),*(?x_8,?z)) ]
HS2:
   [ *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 12
ES:
   [ *(?x_7,?z) = +(*(?x_7,*(?z,0)),*(?x_7,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) = +(*(?x_8,*(?z,s(?y_8))),*(?x_8,?z)) ]
HS:
   [ *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ *(?x_7,?z) = *(?x_7,?z),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) = +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))) ]
HS0:
   [ *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) = +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))) ]
HS1:
   [ *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) = +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z)))
   [ +(*(?z,0),+(*(?z,?x_11),*(?z,?x_11))) = +(*(?x_11,*(?z,0)),+(*(?x_11,?z),*(?x_11,?z))),
     +(*(?z,+(*(?x_12,?y_12),?x_12)),+(*(?z,?x_12),*(?z,?x_12))) = +(*(?x_12,*(?z,s(?y_12))),+(*(?x_12,?z),*(?x_12,?z))) ]
ES2:
   [ +(*(?z,?x_11),*(?z,?x_11)) = +(*(?x_11,*(?z,0)),+(*(?x_11,?z),*(?x_11,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) = +(*(?x_12,*(?z,s(?y_12))),+(*(?x_12,?z),*(?x_12,?z))) ]
HS2:
   [ +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 13
ES:
   [ +(*(?z,?x_11),*(?z,?x_11)) = +(*(?x_11,*(?z,0)),+(*(?x_11,?z),*(?x_11,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) = +(*(?x_12,*(?z,s(?y_12))),+(*(?x_12,?z),*(?x_12,?z))) ]
HS:
   [ +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ +(*(?z,?x_11),*(?z,?x_11)) = +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) = +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))) ]
HS0:
   [ +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ +(*(?z,?x_11),*(?z,?x_11)) = +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) = +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))) ]
HS1:
   [ +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand +(*(?z,?x_11),*(?z,?x_11)) = +(*(?x_11,?z),*(?x_11,?z))
   [ +(0,*(?x_14,0)) = +(*(0,?x_14),*(0,?x_14)),
     +(+(*(?x_15,?y_15),?x_15),*(?x_15,s(?y_15))) = +(*(s(?y_15),?x_15),*(s(?y_15),?x_15)) ]
ES2:
   [ 0 = +(*(0,?x_14),*(0,?x_14)),
     +(+(*(?x_15,?y_15),?x_15),+(*(?x_15,?y_15),?x_15)) = +(*(s(?y_15),?x_15),*(s(?y_15),?x_15)),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) = +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))) ]
HS2:
   [ +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 14
ES:
   [ 0 = +(*(0,?x_14),*(0,?x_14)),
     +(+(*(?x_15,?y_15),?x_15),+(*(?x_15,?y_15),?x_15)) = +(*(s(?y_15),?x_15),*(s(?y_15),?x_15)),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) = +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))) ]
HS:
   [ +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ 0 = 0,
     +(+(*(?x_15,?y_15),?x_15),+(*(?x_15,?y_15),?x_15)) = +(+(*(?x_15,?y_15),?x_15),+(*(?x_15,?y_15),?x_15)),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) = +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))) ]
HS0:
   [ +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) = +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))) ]
HS1:
   [ +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) = +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z))))
   [ +(*(?z,0),+(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15)))) = +(*(?x_15,*(?z,0)),+(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z)))),
     +(*(?z,+(*(?x_16,?y_16),?x_16)),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16)))) = +(*(?x_16,*(?z,s(?y_16))),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z)))) ]
ES2:
   [ +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) = +(*(?x_15,*(?z,0)),+(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) = +(*(?x_16,*(?z,s(?y_16))),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z)))) ]
HS2:
   [ +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 15
ES:
   [ +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) = +(*(?x_15,*(?z,0)),+(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) = +(*(?x_16,*(?z,s(?y_16))),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z)))) ]
HS:
   [ +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) = +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) = +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))) ]
HS0:
   [ +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) = +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) = +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))) ]
HS1:
   [ +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) = +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z)))
   [ +(0,+(*(?x_18,0),*(?x_18,0))) = +(*(0,?x_18),+(*(0,?x_18),*(0,?x_18))),
     +(+(*(?x_19,?y_19),?x_19),+(*(?x_19,s(?y_19)),*(?x_19,s(?y_19)))) = +(*(s(?y_19),?x_19),+(*(s(?y_19),?x_19),*(s(?y_19),?x_19))) ]
ES2:
   [ 0 = +(*(0,?x_18),+(*(0,?x_18),*(0,?x_18))),
     +(+(*(?x_19,?y_19),?x_19),+(+(*(?x_19,?y_19),?x_19),+(*(?x_19,?y_19),?x_19))) = +(*(s(?y_19),?x_19),+(*(s(?y_19),?x_19),*(s(?y_19),?x_19))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) = +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))) ]
HS2:
   [ +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 16
ES:
   [ 0 = +(*(0,?x_18),+(*(0,?x_18),*(0,?x_18))),
     +(+(*(?x_19,?y_19),?x_19),+(+(*(?x_19,?y_19),?x_19),+(*(?x_19,?y_19),?x_19))) = +(*(s(?y_19),?x_19),+(*(s(?y_19),?x_19),*(s(?y_19),?x_19))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) = +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))) ]
HS:
   [ +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ 0 = 0,
     +(+(*(?x_19,?y_19),?x_19),+(+(*(?x_19,?y_19),?x_19),+(*(?x_19,?y_19),?x_19))) = +(+(*(?x_19,?y_19),?x_19),+(+(*(?x_19,?y_19),?x_19),+(*(?x_19,?y_19),?x_19))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) = +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))) ]
HS0:
   [ +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) = +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))) ]
HS1:
   [ +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) = +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z)))))
   [ +(*(?z,0),+(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19))))) = +(*(?x_19,*(?z,0)),+(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z))))),
     +(*(?z,+(*(?x_20,?y_20),?x_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20))))) = +(*(?x_20,*(?z,s(?y_20))),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z))))) ]
ES2:
   [ +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) = +(*(?x_19,*(?z,0)),+(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) = +(*(?x_20,*(?z,s(?y_20))),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z))))) ]
HS2:
   [ +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 17
ES:
   [ +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) = +(*(?x_19,*(?z,0)),+(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) = +(*(?x_20,*(?z,s(?y_20))),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z))))) ]
HS:
   [ +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) = +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) = +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))) ]
HS0:
   [ +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) = +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) = +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))) ]
HS1:
   [ +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) = +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z))))
   [ +(0,+(*(?x_22,0),+(*(?x_22,0),*(?x_22,0)))) = +(*(0,?x_22),+(*(0,?x_22),+(*(0,?x_22),*(0,?x_22)))),
     +(+(*(?x_23,?y_23),?x_23),+(*(?x_23,s(?y_23)),+(*(?x_23,s(?y_23)),*(?x_23,s(?y_23))))) = +(*(s(?y_23),?x_23),+(*(s(?y_23),?x_23),+(*(s(?y_23),?x_23),*(s(?y_23),?x_23)))) ]
ES2:
   [ 0 = +(*(0,?x_22),+(*(0,?x_22),+(*(0,?x_22),*(0,?x_22)))),
     +(+(*(?x_23,?y_23),?x_23),+(+(*(?x_23,?y_23),?x_23),+(+(*(?x_23,?y_23),?x_23),+(*(?x_23,?y_23),?x_23)))) = +(*(s(?y_23),?x_23),+(*(s(?y_23),?x_23),+(*(s(?y_23),?x_23),*(s(?y_23),?x_23)))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) = +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))) ]
HS2:
   [ +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 18
ES:
   [ 0 = +(*(0,?x_22),+(*(0,?x_22),+(*(0,?x_22),*(0,?x_22)))),
     +(+(*(?x_23,?y_23),?x_23),+(+(*(?x_23,?y_23),?x_23),+(+(*(?x_23,?y_23),?x_23),+(*(?x_23,?y_23),?x_23)))) = +(*(s(?y_23),?x_23),+(*(s(?y_23),?x_23),+(*(s(?y_23),?x_23),*(s(?y_23),?x_23)))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) = +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))) ]
HS:
   [ +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ 0 = 0,
     +(+(*(?x_23,?y_23),?x_23),+(+(*(?x_23,?y_23),?x_23),+(+(*(?x_23,?y_23),?x_23),+(*(?x_23,?y_23),?x_23)))) = +(+(*(?x_23,?y_23),?x_23),+(+(*(?x_23,?y_23),?x_23),+(+(*(?x_23,?y_23),?x_23),+(*(?x_23,?y_23),?x_23)))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) = +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))) ]
HS0:
   [ +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) = +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))) ]
HS1:
   [ +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) = +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z))))))
   [ +(*(?z,0),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23)))))) = +(*(?x_23,*(?z,0)),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z)))))),
     +(*(?z,+(*(?x_24,?y_24),?x_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24)))))) = +(*(?x_24,*(?z,s(?y_24))),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z)))))) ]
ES2:
   [ +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) = +(*(?x_23,*(?z,0)),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) = +(*(?x_24,*(?z,s(?y_24))),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z)))))) ]
HS2:
   [ +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 19
ES:
   [ +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) = +(*(?x_23,*(?z,0)),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) = +(*(?x_24,*(?z,s(?y_24))),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z)))))) ]
HS:
   [ +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) = +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) = +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))) ]
HS0:
   [ +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) = +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) = +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))) ]
HS1:
   [ +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) = +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z)))))
   [ +(0,+(*(?x_26,0),+(*(?x_26,0),+(*(?x_26,0),*(?x_26,0))))) = +(*(0,?x_26),+(*(0,?x_26),+(*(0,?x_26),+(*(0,?x_26),*(0,?x_26))))),
     +(+(*(?x_27,?y_27),?x_27),+(*(?x_27,s(?y_27)),+(*(?x_27,s(?y_27)),+(*(?x_27,s(?y_27)),*(?x_27,s(?y_27)))))) = +(*(s(?y_27),?x_27),+(*(s(?y_27),?x_27),+(*(s(?y_27),?x_27),+(*(s(?y_27),?x_27),*(s(?y_27),?x_27))))) ]
ES2:
   [ 0 = +(*(0,?x_26),+(*(0,?x_26),+(*(0,?x_26),+(*(0,?x_26),*(0,?x_26))))),
     +(+(*(?x_27,?y_27),?x_27),+(+(*(?x_27,?y_27),?x_27),+(+(*(?x_27,?y_27),?x_27),+(+(*(?x_27,?y_27),?x_27),+(*(?x_27,?y_27),?x_27))))) = +(*(s(?y_27),?x_27),+(*(s(?y_27),?x_27),+(*(s(?y_27),?x_27),+(*(s(?y_27),?x_27),*(s(?y_27),?x_27))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) = +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))) ]
HS2:
   [ +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 20
ES:
   [ 0 = +(*(0,?x_26),+(*(0,?x_26),+(*(0,?x_26),+(*(0,?x_26),*(0,?x_26))))),
     +(+(*(?x_27,?y_27),?x_27),+(+(*(?x_27,?y_27),?x_27),+(+(*(?x_27,?y_27),?x_27),+(+(*(?x_27,?y_27),?x_27),+(*(?x_27,?y_27),?x_27))))) = +(*(s(?y_27),?x_27),+(*(s(?y_27),?x_27),+(*(s(?y_27),?x_27),+(*(s(?y_27),?x_27),*(s(?y_27),?x_27))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) = +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))) ]
HS:
   [ +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ 0 = 0,
     +(+(*(?x_27,?y_27),?x_27),+(+(*(?x_27,?y_27),?x_27),+(+(*(?x_27,?y_27),?x_27),+(+(*(?x_27,?y_27),?x_27),+(*(?x_27,?y_27),?x_27))))) = +(+(*(?x_27,?y_27),?x_27),+(+(*(?x_27,?y_27),?x_27),+(+(*(?x_27,?y_27),?x_27),+(+(*(?x_27,?y_27),?x_27),+(*(?x_27,?y_27),?x_27))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) = +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))) ]
HS0:
   [ +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) = +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))) ]
HS1:
   [ +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) = +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z)))))))
   [ +(*(?z,0),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27))))))) = +(*(?x_27,*(?z,0)),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z))))))),
     +(*(?z,+(*(?x_28,?y_28),?x_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28))))))) = +(*(?x_28,*(?z,s(?y_28))),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z))))))) ]
ES2:
   [ +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) = +(*(?x_27,*(?z,0)),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z))))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) = +(*(?x_28,*(?z,s(?y_28))),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z))))))) ]
HS2:
   [ +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 21
ES:
   [ +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) = +(*(?x_27,*(?z,0)),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z))))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) = +(*(?x_28,*(?z,s(?y_28))),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z))))))) ]
HS:
   [ +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) = +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) = +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))) ]
HS0:
   [ +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) = +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) = +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))) ]
HS1:
   [ +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) = +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z))))))
   [ +(0,+(*(?x_30,0),+(*(?x_30,0),+(*(?x_30,0),+(*(?x_30,0),*(?x_30,0)))))) = +(*(0,?x_30),+(*(0,?x_30),+(*(0,?x_30),+(*(0,?x_30),+(*(0,?x_30),*(0,?x_30)))))),
     +(+(*(?x_31,?y_31),?x_31),+(*(?x_31,s(?y_31)),+(*(?x_31,s(?y_31)),+(*(?x_31,s(?y_31)),+(*(?x_31,s(?y_31)),*(?x_31,s(?y_31))))))) = +(*(s(?y_31),?x_31),+(*(s(?y_31),?x_31),+(*(s(?y_31),?x_31),+(*(s(?y_31),?x_31),+(*(s(?y_31),?x_31),*(s(?y_31),?x_31)))))) ]
ES2:
   [ 0 = +(*(0,?x_30),+(*(0,?x_30),+(*(0,?x_30),+(*(0,?x_30),+(*(0,?x_30),*(0,?x_30)))))),
     +(+(*(?x_31,?y_31),?x_31),+(+(*(?x_31,?y_31),?x_31),+(+(*(?x_31,?y_31),?x_31),+(+(*(?x_31,?y_31),?x_31),+(+(*(?x_31,?y_31),?x_31),+(*(?x_31,?y_31),?x_31)))))) = +(*(s(?y_31),?x_31),+(*(s(?y_31),?x_31),+(*(s(?y_31),?x_31),+(*(s(?y_31),?x_31),+(*(s(?y_31),?x_31),*(s(?y_31),?x_31)))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) = +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))) ]
HS2:
   [ +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 22
ES:
   [ 0 = +(*(0,?x_30),+(*(0,?x_30),+(*(0,?x_30),+(*(0,?x_30),+(*(0,?x_30),*(0,?x_30)))))),
     +(+(*(?x_31,?y_31),?x_31),+(+(*(?x_31,?y_31),?x_31),+(+(*(?x_31,?y_31),?x_31),+(+(*(?x_31,?y_31),?x_31),+(+(*(?x_31,?y_31),?x_31),+(*(?x_31,?y_31),?x_31)))))) = +(*(s(?y_31),?x_31),+(*(s(?y_31),?x_31),+(*(s(?y_31),?x_31),+(*(s(?y_31),?x_31),+(*(s(?y_31),?x_31),*(s(?y_31),?x_31)))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) = +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))) ]
HS:
   [ +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ 0 = 0,
     +(+(*(?x_31,?y_31),?x_31),+(+(*(?x_31,?y_31),?x_31),+(+(*(?x_31,?y_31),?x_31),+(+(*(?x_31,?y_31),?x_31),+(+(*(?x_31,?y_31),?x_31),+(*(?x_31,?y_31),?x_31)))))) = +(+(*(?x_31,?y_31),?x_31),+(+(*(?x_31,?y_31),?x_31),+(+(*(?x_31,?y_31),?x_31),+(+(*(?x_31,?y_31),?x_31),+(+(*(?x_31,?y_31),?x_31),+(*(?x_31,?y_31),?x_31)))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) = +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))) ]
HS0:
   [ +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) = +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))) ]
HS1:
   [ +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) = +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z))))))))
   [ +(*(?z,0),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31)))))))) = +(*(?x_31,*(?z,0)),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z)))))))),
     +(*(?z,+(*(?x_32,?y_32),?x_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32)))))))) = +(*(?x_32,*(?z,s(?y_32))),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z)))))))) ]
ES2:
   [ +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) = +(*(?x_31,*(?z,0)),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z)))))))),
     +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) = +(*(?x_32,*(?z,s(?y_32))),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z)))))))) ]
HS2:
   [ +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) -> +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))),
     +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 23
ES:
   [ +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) = +(*(?x_31,*(?z,0)),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z)))))))),
     +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) = +(*(?x_32,*(?z,s(?y_32))),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z)))))))) ]
HS:
   [ +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) -> +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))),
     +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) = +(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z))))))),
     +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) = +(*(?x_32,*(?z,?y_32)),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z))))))))) ]
HS0:
   [ +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) -> +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))),
     +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) = +(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z))))))),
     +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) = +(*(?x_32,*(?z,?y_32)),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z))))))))) ]
HS1:
   [ +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) -> +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))),
     +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) = +(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z)))))))
   [ +(0,+(*(?x_34,0),+(*(?x_34,0),+(*(?x_34,0),+(*(?x_34,0),+(*(?x_34,0),*(?x_34,0))))))) = +(*(0,?x_34),+(*(0,?x_34),+(*(0,?x_34),+(*(0,?x_34),+(*(0,?x_34),+(*(0,?x_34),*(0,?x_34))))))),
     +(+(*(?x_35,?y_35),?x_35),+(*(?x_35,s(?y_35)),+(*(?x_35,s(?y_35)),+(*(?x_35,s(?y_35)),+(*(?x_35,s(?y_35)),+(*(?x_35,s(?y_35)),*(?x_35,s(?y_35)))))))) = +(*(s(?y_35),?x_35),+(*(s(?y_35),?x_35),+(*(s(?y_35),?x_35),+(*(s(?y_35),?x_35),+(*(s(?y_35),?x_35),+(*(s(?y_35),?x_35),*(s(?y_35),?x_35))))))) ]
ES2:
   [ 0 = +(*(0,?x_34),+(*(0,?x_34),+(*(0,?x_34),+(*(0,?x_34),+(*(0,?x_34),+(*(0,?x_34),*(0,?x_34))))))),
     +(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(*(?x_35,?y_35),?x_35))))))) = +(*(s(?y_35),?x_35),+(*(s(?y_35),?x_35),+(*(s(?y_35),?x_35),+(*(s(?y_35),?x_35),+(*(s(?y_35),?x_35),+(*(s(?y_35),?x_35),*(s(?y_35),?x_35))))))),
     +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) = +(*(?x_32,*(?z,?y_32)),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z))))))))) ]
HS2:
   [ +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) -> +(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z))))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) -> +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))),
     +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 24
ES:
   [ 0 = +(*(0,?x_34),+(*(0,?x_34),+(*(0,?x_34),+(*(0,?x_34),+(*(0,?x_34),+(*(0,?x_34),*(0,?x_34))))))),
     +(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(*(?x_35,?y_35),?x_35))))))) = +(*(s(?y_35),?x_35),+(*(s(?y_35),?x_35),+(*(s(?y_35),?x_35),+(*(s(?y_35),?x_35),+(*(s(?y_35),?x_35),+(*(s(?y_35),?x_35),*(s(?y_35),?x_35))))))),
     +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) = +(*(?x_32,*(?z,?y_32)),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z))))))))) ]
HS:
   [ +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) -> +(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z))))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) -> +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))),
     +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ 0 = 0,
     +(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(*(?x_35,?y_35),?x_35))))))) = +(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(+(*(?x_35,?y_35),?x_35),+(*(?x_35,?y_35),?x_35))))))),
     +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) = +(*(?x_32,*(?z,?y_32)),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z))))))))) ]
HS0:
   [ +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) -> +(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z))))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) -> +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))),
     +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) = +(*(?x_32,*(?z,?y_32)),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z))))))))) ]
HS1:
   [ +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) -> +(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z))))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) -> +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))),
     +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) = +(*(?x_32,*(?z,?y_32)),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z)))))))))
   [ +(*(?z,0),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),*(?z,?x_35))))))))) = +(*(?x_35,*(?z,0)),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),*(?x_35,?z))))))))),
     +(*(?z,+(*(?x_36,?y_36),?x_36)),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),*(?z,?x_36))))))))) = +(*(?x_36,*(?z,s(?y_36))),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),*(?x_36,?z))))))))) ]
ES2:
   [ +(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),*(?z,?x_35)))))))) = +(*(?x_35,*(?z,0)),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),*(?x_35,?z))))))))),
     +(*(?z,*(?x_36,?y_36)),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),*(?z,?x_36)))))))))) = +(*(?x_36,*(?z,s(?y_36))),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),*(?x_36,?z))))))))) ]
HS2:
   [ +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) -> +(*(?x_32,*(?z,?y_32)),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z))))))))),
     +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) -> +(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z))))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) -> +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))),
     +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 25
ES:
   [ +(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),*(?z,?x_35)))))))) = +(*(?x_35,*(?z,0)),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),*(?x_35,?z))))))))),
     +(*(?z,*(?x_36,?y_36)),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),*(?z,?x_36)))))))))) = +(*(?x_36,*(?z,s(?y_36))),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),*(?x_36,?z))))))))) ]
HS:
   [ +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) -> +(*(?x_32,*(?z,?y_32)),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z))))))))),
     +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) -> +(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z))))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) -> +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))),
     +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ +(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),*(?z,?x_35)))))))) = +(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),*(?x_35,?z)))))))),
     +(*(?z,*(?x_36,?y_36)),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),*(?z,?x_36)))))))))) = +(*(?x_36,*(?z,?y_36)),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),*(?x_36,?z)))))))))) ]
HS0:
   [ +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) -> +(*(?x_32,*(?z,?y_32)),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z))))))))),
     +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) -> +(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z))))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) -> +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))),
     +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ +(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),*(?z,?x_35)))))))) = +(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),*(?x_35,?z)))))))),
     +(*(?z,*(?x_36,?y_36)),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),*(?z,?x_36)))))))))) = +(*(?x_36,*(?z,?y_36)),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),*(?x_36,?z)))))))))) ]
HS1:
   [ +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) -> +(*(?x_32,*(?z,?y_32)),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z))))))))),
     +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) -> +(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z))))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) -> +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))),
     +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand +(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),*(?z,?x_35)))))))) = +(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),*(?x_35,?z))))))))
   [ +(0,+(*(?x_38,0),+(*(?x_38,0),+(*(?x_38,0),+(*(?x_38,0),+(*(?x_38,0),+(*(?x_38,0),*(?x_38,0)))))))) = +(*(0,?x_38),+(*(0,?x_38),+(*(0,?x_38),+(*(0,?x_38),+(*(0,?x_38),+(*(0,?x_38),+(*(0,?x_38),*(0,?x_38)))))))),
     +(+(*(?x_39,?y_39),?x_39),+(*(?x_39,s(?y_39)),+(*(?x_39,s(?y_39)),+(*(?x_39,s(?y_39)),+(*(?x_39,s(?y_39)),+(*(?x_39,s(?y_39)),+(*(?x_39,s(?y_39)),*(?x_39,s(?y_39))))))))) = +(*(s(?y_39),?x_39),+(*(s(?y_39),?x_39),+(*(s(?y_39),?x_39),+(*(s(?y_39),?x_39),+(*(s(?y_39),?x_39),+(*(s(?y_39),?x_39),+(*(s(?y_39),?x_39),*(s(?y_39),?x_39)))))))) ]
ES2:
   [ 0 = +(*(0,?x_38),+(*(0,?x_38),+(*(0,?x_38),+(*(0,?x_38),+(*(0,?x_38),+(*(0,?x_38),+(*(0,?x_38),*(0,?x_38)))))))),
     +(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(*(?x_39,?y_39),?x_39)))))))) = +(*(s(?y_39),?x_39),+(*(s(?y_39),?x_39),+(*(s(?y_39),?x_39),+(*(s(?y_39),?x_39),+(*(s(?y_39),?x_39),+(*(s(?y_39),?x_39),+(*(s(?y_39),?x_39),*(s(?y_39),?x_39)))))))),
     +(*(?z,*(?x_36,?y_36)),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),*(?z,?x_36)))))))))) = +(*(?x_36,*(?z,?y_36)),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),*(?x_36,?z)))))))))) ]
HS2:
   [ +(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),*(?z,?x_35)))))))) -> +(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),*(?x_35,?z)))))))),
     +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) -> +(*(?x_32,*(?z,?y_32)),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z))))))))),
     +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) -> +(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z))))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) -> +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))),
     +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 26
ES:
   [ 0 = +(*(0,?x_38),+(*(0,?x_38),+(*(0,?x_38),+(*(0,?x_38),+(*(0,?x_38),+(*(0,?x_38),+(*(0,?x_38),*(0,?x_38)))))))),
     +(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(*(?x_39,?y_39),?x_39)))))))) = +(*(s(?y_39),?x_39),+(*(s(?y_39),?x_39),+(*(s(?y_39),?x_39),+(*(s(?y_39),?x_39),+(*(s(?y_39),?x_39),+(*(s(?y_39),?x_39),+(*(s(?y_39),?x_39),*(s(?y_39),?x_39)))))))),
     +(*(?z,*(?x_36,?y_36)),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),*(?z,?x_36)))))))))) = +(*(?x_36,*(?z,?y_36)),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),*(?x_36,?z)))))))))) ]
HS:
   [ +(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),*(?z,?x_35)))))))) -> +(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),*(?x_35,?z)))))))),
     +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) -> +(*(?x_32,*(?z,?y_32)),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z))))))))),
     +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) -> +(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z))))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) -> +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))),
     +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES0:
   [ 0 = 0,
     +(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(*(?x_39,?y_39),?x_39)))))))) = +(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(+(*(?x_39,?y_39),?x_39),+(*(?x_39,?y_39),?x_39)))))))),
     +(*(?z,*(?x_36,?y_36)),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),*(?z,?x_36)))))))))) = +(*(?x_36,*(?z,?y_36)),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),*(?x_36,?z)))))))))) ]
HS0:
   [ +(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),*(?z,?x_35)))))))) -> +(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),*(?x_35,?z)))))))),
     +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) -> +(*(?x_32,*(?z,?y_32)),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z))))))))),
     +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) -> +(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z))))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) -> +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))),
     +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
ES1:
   [ +(*(?z,*(?x_36,?y_36)),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),*(?z,?x_36)))))))))) = +(*(?x_36,*(?z,?y_36)),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),*(?x_36,?z)))))))))) ]
HS1:
   [ +(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),*(?z,?x_35)))))))) -> +(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),*(?x_35,?z)))))))),
     +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) -> +(*(?x_32,*(?z,?y_32)),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z))))))))),
     +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) -> +(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z))))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) -> +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))),
     +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
Expand +(*(?z,*(?x_36,?y_36)),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),*(?z,?x_36)))))))))) = +(*(?x_36,*(?z,?y_36)),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),*(?x_36,?z))))))))))
   [ +(*(?z,0),+(*(?z,?x_39),+(*(?z,?x_39),+(*(?z,?x_39),+(*(?z,?x_39),+(*(?z,?x_39),+(*(?z,?x_39),+(*(?z,?x_39),+(*(?z,?x_39),*(?z,?x_39)))))))))) = +(*(?x_39,*(?z,0)),+(*(?x_39,?z),+(*(?x_39,?z),+(*(?x_39,?z),+(*(?x_39,?z),+(*(?x_39,?z),+(*(?x_39,?z),+(*(?x_39,?z),+(*(?x_39,?z),*(?x_39,?z)))))))))),
     +(*(?z,+(*(?x_40,?y_40),?x_40)),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),*(?z,?x_40)))))))))) = +(*(?x_40,*(?z,s(?y_40))),+(*(?x_40,?z),+(*(?x_40,?z),+(*(?x_40,?z),+(*(?x_40,?z),+(*(?x_40,?z),+(*(?x_40,?z),+(*(?x_40,?z),+(*(?x_40,?z),*(?x_40,?z)))))))))) ]
ES2:
   [ +(*(?z,?x_39),+(*(?z,?x_39),+(*(?z,?x_39),+(*(?z,?x_39),+(*(?z,?x_39),+(*(?z,?x_39),+(*(?z,?x_39),+(*(?z,?x_39),*(?z,?x_39))))))))) = +(*(?x_39,*(?z,0)),+(*(?x_39,?z),+(*(?x_39,?z),+(*(?x_39,?z),+(*(?x_39,?z),+(*(?x_39,?z),+(*(?x_39,?z),+(*(?x_39,?z),+(*(?x_39,?z),*(?x_39,?z)))))))))),
     +(*(?z,*(?x_40,?y_40)),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),*(?z,?x_40))))))))))) = +(*(?x_40,*(?z,s(?y_40))),+(*(?x_40,?z),+(*(?x_40,?z),+(*(?x_40,?z),+(*(?x_40,?z),+(*(?x_40,?z),+(*(?x_40,?z),+(*(?x_40,?z),+(*(?x_40,?z),*(?x_40,?z)))))))))) ]
HS2:
   [ +(*(?z,*(?x_36,?y_36)),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),*(?z,?x_36)))))))))) -> +(*(?x_36,*(?z,?y_36)),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),*(?x_36,?z)))))))))),
     +(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),*(?z,?x_35)))))))) -> +(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),*(?x_35,?z)))))))),
     +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) -> +(*(?x_32,*(?z,?y_32)),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z))))))))),
     +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) -> +(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z))))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) -> +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))),
     +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
STEP 27
ES:
   [ +(*(?z,?x_39),+(*(?z,?x_39),+(*(?z,?x_39),+(*(?z,?x_39),+(*(?z,?x_39),+(*(?z,?x_39),+(*(?z,?x_39),+(*(?z,?x_39),*(?z,?x_39))))))))) = +(*(?x_39,*(?z,0)),+(*(?x_39,?z),+(*(?x_39,?z),+(*(?x_39,?z),+(*(?x_39,?z),+(*(?x_39,?z),+(*(?x_39,?z),+(*(?x_39,?z),+(*(?x_39,?z),*(?x_39,?z)))))))))),
     +(*(?z,*(?x_40,?y_40)),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),+(*(?z,?x_40),*(?z,?x_40))))))))))) = +(*(?x_40,*(?z,s(?y_40))),+(*(?x_40,?z),+(*(?x_40,?z),+(*(?x_40,?z),+(*(?x_40,?z),+(*(?x_40,?z),+(*(?x_40,?z),+(*(?x_40,?z),+(*(?x_40,?z),*(?x_40,?z)))))))))) ]
HS:
   [ +(*(?z,*(?x_36,?y_36)),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),+(*(?z,?x_36),*(?z,?x_36)))))))))) -> +(*(?x_36,*(?z,?y_36)),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),+(*(?x_36,?z),*(?x_36,?z)))))))))),
     +(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),+(*(?z,?x_35),*(?z,?x_35)))))))) -> +(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),+(*(?x_35,?z),*(?x_35,?z)))))))),
     +(*(?z,*(?x_32,?y_32)),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),+(*(?z,?x_32),*(?z,?x_32))))))))) -> +(*(?x_32,*(?z,?y_32)),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),+(*(?x_32,?z),*(?x_32,?z))))))))),
     +(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),+(*(?z,?x_31),*(?z,?x_31))))))) -> +(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),+(*(?x_31,?z),*(?x_31,?z))))))),
     +(*(?z,*(?x_28,?y_28)),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),+(*(?z,?x_28),*(?z,?x_28)))))))) -> +(*(?x_28,*(?z,?y_28)),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),+(*(?x_28,?z),*(?x_28,?z)))))))),
     +(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),+(*(?z,?x_27),*(?z,?x_27)))))) -> +(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),+(*(?x_27,?z),*(?x_27,?z)))))),
     +(*(?z,*(?x_24,?y_24)),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),+(*(?z,?x_24),*(?z,?x_24))))))) -> +(*(?x_24,*(?z,?y_24)),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),+(*(?x_24,?z),*(?x_24,?z))))))),
     +(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),+(*(?z,?x_23),*(?z,?x_23))))) -> +(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),+(*(?x_23,?z),*(?x_23,?z))))),
     +(*(?z,*(?x_20,?y_20)),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),+(*(?z,?x_20),*(?z,?x_20)))))) -> +(*(?x_20,*(?z,?y_20)),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),+(*(?x_20,?z),*(?x_20,?z)))))),
     +(*(?z,?x_19),+(*(?z,?x_19),+(*(?z,?x_19),*(?z,?x_19)))) -> +(*(?x_19,?z),+(*(?x_19,?z),+(*(?x_19,?z),*(?x_19,?z)))),
     +(*(?z,*(?x_16,?y_16)),+(*(?z,?x_16),+(*(?z,?x_16),+(*(?z,?x_16),*(?z,?x_16))))) -> +(*(?x_16,*(?z,?y_16)),+(*(?x_16,?z),+(*(?x_16,?z),+(*(?x_16,?z),*(?x_16,?z))))),
     +(*(?z,?x_15),+(*(?z,?x_15),*(?z,?x_15))) -> +(*(?x_15,?z),+(*(?x_15,?z),*(?x_15,?z))),
     +(*(?z,*(?x_12,?y_12)),+(*(?z,?x_12),+(*(?z,?x_12),*(?z,?x_12)))) -> +(*(?x_12,*(?z,?y_12)),+(*(?x_12,?z),+(*(?x_12,?z),*(?x_12,?z)))),
     +(*(?z,?x_11),*(?z,?x_11)) -> +(*(?x_11,?z),*(?x_11,?z)),
     +(*(?z,*(?x_8,?y_8)),+(*(?z,?x_8),*(?z,?x_8))) -> +(*(?x_8,*(?z,?y_8)),+(*(?x_8,?z),*(?x_8,?z))),
     *(+(*(?x_4,?y_4),?x_4),?z) -> +(*(?x_4,*(?z,?y_4)),*(?x_4,?z)),
     s(+(*(?y_4,?y),+(?y_4,?y))) -> s(+(*(?y,?y_4),+(?y,?y_4))),
     *(?x,+(?y,?z)) -> +(*(?x,?y),*(?x,?z)),
     s(+(?z,+(?x_2,?y_2))) -> s(+(?x_2,+(?z,?y_2))),
     +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     *(*(?x,?y),?z) -> *(?x,*(?y,?z)),
     *(s(?y_4),?x_4) -> +(*(?x_4,?y_4),?x_4),
     +(s(?y_2),?x_2) -> s(+(?x_2,?y_2)),
     *(0,?x_3) -> 0,
     *(?x,?y) -> *(?y,?x),
     +(0,?x_1) -> ?x_1,
     +(?x,?y) -> +(?y,?x) ]
rewriting induction stopped because of timeout.
examples/fromCops/cr/203.trs: Failure(unknown)
(5015 msec.)