(0) Obligation:

The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, n^5).


The TRS R consists of the following rules:

plus(x, y) → ifPlus(isZero(x), x, inc(y))
ifPlus(true, x, y) → p(y)
ifPlus(false, x, y) → plus(p(x), y)
times(x, y) → timesIter(0, x, y, 0)
timesIter(i, x, y, z) → ifTimes(ge(i, x), i, x, y, z)
ifTimes(true, i, x, y, z) → z
ifTimes(false, i, x, y, z) → timesIter(inc(i), x, y, plus(z, y))
isZero(0) → true
isZero(s(0)) → false
isZero(s(s(x))) → isZero(s(x))
inc(0) → s(0)
inc(s(x)) → s(inc(x))
inc(x) → s(x)
p(0) → 0
p(s(x)) → x
p(s(s(x))) → s(p(s(x)))
ge(x, 0) → true
ge(0, s(y)) → false
ge(s(x), s(y)) → ge(x, y)
f0(0, y, x) → f1(x, y, x)
f1(x, y, z) → f2(x, y, z)
f2(x, 1, z) → f0(x, z, z)
f0(x, y, z) → d
f1(x, y, z) → c

Rewrite Strategy: INNERMOST

(1) TrsToWeightedTrsProof (BOTH BOUNDS(ID, ID) transformation)

Transformed TRS to weighted TRS

(2) Obligation:

The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, n^5).


The TRS R consists of the following rules:

plus(x, y) → ifPlus(isZero(x), x, inc(y)) [1]
ifPlus(true, x, y) → p(y) [1]
ifPlus(false, x, y) → plus(p(x), y) [1]
times(x, y) → timesIter(0, x, y, 0) [1]
timesIter(i, x, y, z) → ifTimes(ge(i, x), i, x, y, z) [1]
ifTimes(true, i, x, y, z) → z [1]
ifTimes(false, i, x, y, z) → timesIter(inc(i), x, y, plus(z, y)) [1]
isZero(0) → true [1]
isZero(s(0)) → false [1]
isZero(s(s(x))) → isZero(s(x)) [1]
inc(0) → s(0) [1]
inc(s(x)) → s(inc(x)) [1]
inc(x) → s(x) [1]
p(0) → 0 [1]
p(s(x)) → x [1]
p(s(s(x))) → s(p(s(x))) [1]
ge(x, 0) → true [1]
ge(0, s(y)) → false [1]
ge(s(x), s(y)) → ge(x, y) [1]
f0(0, y, x) → f1(x, y, x) [1]
f1(x, y, z) → f2(x, y, z) [1]
f2(x, 1, z) → f0(x, z, z) [1]
f0(x, y, z) → d [1]
f1(x, y, z) → c [1]

Rewrite Strategy: INNERMOST

(3) TypeInferenceProof (BOTH BOUNDS(ID, ID) transformation)

Infered types.

(4) Obligation:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

plus(x, y) → ifPlus(isZero(x), x, inc(y)) [1]
ifPlus(true, x, y) → p(y) [1]
ifPlus(false, x, y) → plus(p(x), y) [1]
times(x, y) → timesIter(0, x, y, 0) [1]
timesIter(i, x, y, z) → ifTimes(ge(i, x), i, x, y, z) [1]
ifTimes(true, i, x, y, z) → z [1]
ifTimes(false, i, x, y, z) → timesIter(inc(i), x, y, plus(z, y)) [1]
isZero(0) → true [1]
isZero(s(0)) → false [1]
isZero(s(s(x))) → isZero(s(x)) [1]
inc(0) → s(0) [1]
inc(s(x)) → s(inc(x)) [1]
inc(x) → s(x) [1]
p(0) → 0 [1]
p(s(x)) → x [1]
p(s(s(x))) → s(p(s(x))) [1]
ge(x, 0) → true [1]
ge(0, s(y)) → false [1]
ge(s(x), s(y)) → ge(x, y) [1]
f0(0, y, x) → f1(x, y, x) [1]
f1(x, y, z) → f2(x, y, z) [1]
f2(x, 1, z) → f0(x, z, z) [1]
f0(x, y, z) → d [1]
f1(x, y, z) → c [1]

The TRS has the following type information:
plus :: 0:s:1 → 0:s:1 → 0:s:1
ifPlus :: true:false → 0:s:1 → 0:s:1 → 0:s:1
isZero :: 0:s:1 → true:false
inc :: 0:s:1 → 0:s:1
true :: true:false
p :: 0:s:1 → 0:s:1
false :: true:false
times :: 0:s:1 → 0:s:1 → 0:s:1
timesIter :: 0:s:1 → 0:s:1 → 0:s:1 → 0:s:1 → 0:s:1
0 :: 0:s:1
ifTimes :: true:false → 0:s:1 → 0:s:1 → 0:s:1 → 0:s:1 → 0:s:1
ge :: 0:s:1 → 0:s:1 → true:false
s :: 0:s:1 → 0:s:1
f0 :: 0:s:1 → 0:s:1 → 0:s:1 → d:c
f1 :: 0:s:1 → 0:s:1 → 0:s:1 → d:c
f2 :: 0:s:1 → 0:s:1 → 0:s:1 → d:c
1 :: 0:s:1
d :: d:c
c :: d:c

Rewrite Strategy: INNERMOST

(5) CompletionProof (UPPER BOUND(ID) transformation)

The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added:

isZero(v0) → null_isZero [0]
p(v0) → null_p [0]
ge(v0, v1) → null_ge [0]
f2(v0, v1, v2) → null_f2 [0]
ifPlus(v0, v1, v2) → null_ifPlus [0]
ifTimes(v0, v1, v2, v3, v4) → null_ifTimes [0]

And the following fresh constants:

null_isZero, null_p, null_ge, null_f2, null_ifPlus, null_ifTimes

(6) Obligation:

Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

plus(x, y) → ifPlus(isZero(x), x, inc(y)) [1]
ifPlus(true, x, y) → p(y) [1]
ifPlus(false, x, y) → plus(p(x), y) [1]
times(x, y) → timesIter(0, x, y, 0) [1]
timesIter(i, x, y, z) → ifTimes(ge(i, x), i, x, y, z) [1]
ifTimes(true, i, x, y, z) → z [1]
ifTimes(false, i, x, y, z) → timesIter(inc(i), x, y, plus(z, y)) [1]
isZero(0) → true [1]
isZero(s(0)) → false [1]
isZero(s(s(x))) → isZero(s(x)) [1]
inc(0) → s(0) [1]
inc(s(x)) → s(inc(x)) [1]
inc(x) → s(x) [1]
p(0) → 0 [1]
p(s(x)) → x [1]
p(s(s(x))) → s(p(s(x))) [1]
ge(x, 0) → true [1]
ge(0, s(y)) → false [1]
ge(s(x), s(y)) → ge(x, y) [1]
f0(0, y, x) → f1(x, y, x) [1]
f1(x, y, z) → f2(x, y, z) [1]
f2(x, 1, z) → f0(x, z, z) [1]
f0(x, y, z) → d [1]
f1(x, y, z) → c [1]
isZero(v0) → null_isZero [0]
p(v0) → null_p [0]
ge(v0, v1) → null_ge [0]
f2(v0, v1, v2) → null_f2 [0]
ifPlus(v0, v1, v2) → null_ifPlus [0]
ifTimes(v0, v1, v2, v3, v4) → null_ifTimes [0]

The TRS has the following type information:
plus :: 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes
ifPlus :: true:false:null_isZero:null_ge → 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes
isZero :: 0:s:1:null_p:null_ifPlus:null_ifTimes → true:false:null_isZero:null_ge
inc :: 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes
true :: true:false:null_isZero:null_ge
p :: 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes
false :: true:false:null_isZero:null_ge
times :: 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes
timesIter :: 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes
0 :: 0:s:1:null_p:null_ifPlus:null_ifTimes
ifTimes :: true:false:null_isZero:null_ge → 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes
ge :: 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes → true:false:null_isZero:null_ge
s :: 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes
f0 :: 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes → d:c:null_f2
f1 :: 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes → d:c:null_f2
f2 :: 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes → 0:s:1:null_p:null_ifPlus:null_ifTimes → d:c:null_f2
1 :: 0:s:1:null_p:null_ifPlus:null_ifTimes
d :: d:c:null_f2
c :: d:c:null_f2
null_isZero :: true:false:null_isZero:null_ge
null_p :: 0:s:1:null_p:null_ifPlus:null_ifTimes
null_ge :: true:false:null_isZero:null_ge
null_f2 :: d:c:null_f2
null_ifPlus :: 0:s:1:null_p:null_ifPlus:null_ifTimes
null_ifTimes :: 0:s:1:null_p:null_ifPlus:null_ifTimes

Rewrite Strategy: INNERMOST

(7) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID) transformation)

Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction.
The constant constructors are abstracted as follows:

true => 2
false => 1
0 => 0
1 => 1
d => 2
c => 1
null_isZero => 0
null_p => 0
null_ge => 0
null_f2 => 0
null_ifPlus => 0
null_ifTimes => 0

(8) Obligation:

Complexity RNTS consisting of the following rules:

f0(z', z'', z1) -{ 1 }→ f1(x, y, x) :|: z'' = y, y >= 0, x >= 0, z1 = x, z' = 0
f0(z', z'', z1) -{ 1 }→ 2 :|: z1 = z, z >= 0, z' = x, z'' = y, x >= 0, y >= 0
f1(z', z'', z1) -{ 1 }→ f2(x, y, z) :|: z1 = z, z >= 0, z' = x, z'' = y, x >= 0, y >= 0
f1(z', z'', z1) -{ 1 }→ 1 :|: z1 = z, z >= 0, z' = x, z'' = y, x >= 0, y >= 0
f2(z', z'', z1) -{ 1 }→ f0(x, z, z) :|: z1 = z, z >= 0, z' = x, x >= 0, z'' = 1
f2(z', z'', z1) -{ 0 }→ 0 :|: v0 >= 0, z1 = v2, v1 >= 0, z'' = v1, v2 >= 0, z' = v0
ge(z', z'') -{ 1 }→ ge(x, y) :|: z' = 1 + x, x >= 0, y >= 0, z'' = 1 + y
ge(z', z'') -{ 1 }→ 2 :|: z'' = 0, z' = x, x >= 0
ge(z', z'') -{ 1 }→ 1 :|: y >= 0, z'' = 1 + y, z' = 0
ge(z', z'') -{ 0 }→ 0 :|: v0 >= 0, v1 >= 0, z'' = v1, z' = v0
ifPlus(z', z'', z1) -{ 1 }→ plus(p(x), y) :|: z1 = y, x >= 0, y >= 0, z'' = x, z' = 1
ifPlus(z', z'', z1) -{ 1 }→ p(y) :|: z1 = y, z' = 2, x >= 0, y >= 0, z'' = x
ifPlus(z', z'', z1) -{ 0 }→ 0 :|: v0 >= 0, z1 = v2, v1 >= 0, z'' = v1, v2 >= 0, z' = v0
ifTimes(z', z'', z1, z2, z3) -{ 1 }→ z :|: z2 = y, z >= 0, z' = 2, z'' = i, z3 = z, x >= 0, y >= 0, i >= 0, z1 = x
ifTimes(z', z'', z1, z2, z3) -{ 1 }→ timesIter(inc(i), x, y, plus(z, y)) :|: z2 = y, z >= 0, z'' = i, z3 = z, x >= 0, y >= 0, i >= 0, z' = 1, z1 = x
ifTimes(z', z'', z1, z2, z3) -{ 0 }→ 0 :|: z2 = v3, v0 >= 0, v4 >= 0, z1 = v2, v1 >= 0, z'' = v1, z3 = v4, v2 >= 0, v3 >= 0, z' = v0
inc(z') -{ 1 }→ 1 + x :|: z' = x, x >= 0
inc(z') -{ 1 }→ 1 + inc(x) :|: z' = 1 + x, x >= 0
inc(z') -{ 1 }→ 1 + 0 :|: z' = 0
isZero(z') -{ 1 }→ isZero(1 + x) :|: x >= 0, z' = 1 + (1 + x)
isZero(z') -{ 1 }→ 2 :|: z' = 0
isZero(z') -{ 1 }→ 1 :|: z' = 1 + 0
isZero(z') -{ 0 }→ 0 :|: v0 >= 0, z' = v0
p(z') -{ 1 }→ x :|: z' = 1 + x, x >= 0
p(z') -{ 1 }→ 0 :|: z' = 0
p(z') -{ 0 }→ 0 :|: v0 >= 0, z' = v0
p(z') -{ 1 }→ 1 + p(1 + x) :|: x >= 0, z' = 1 + (1 + x)
plus(z', z'') -{ 1 }→ ifPlus(isZero(x), x, inc(y)) :|: z' = x, z'' = y, x >= 0, y >= 0
times(z', z'') -{ 1 }→ timesIter(0, x, y, 0) :|: z' = x, z'' = y, x >= 0, y >= 0
timesIter(z', z'', z1, z2) -{ 1 }→ ifTimes(ge(i, x), i, x, y, z) :|: z1 = y, z >= 0, z2 = z, x >= 0, y >= 0, i >= 0, z'' = x, z' = i

Only complete derivations are relevant for the runtime complexity.

(9) CompleteCoflocoProof (EQUIVALENT transformation)

Transformed the RNTS (where only complete derivations are relevant) into cost relations for CoFloCo:

eq(start(V, V1, V4, V11, V16),0,[plus(V, V1, Out)],[V >= 0,V1 >= 0]).
eq(start(V, V1, V4, V11, V16),0,[ifPlus(V, V1, V4, Out)],[V >= 0,V1 >= 0,V4 >= 0]).
eq(start(V, V1, V4, V11, V16),0,[times(V, V1, Out)],[V >= 0,V1 >= 0]).
eq(start(V, V1, V4, V11, V16),0,[timesIter(V, V1, V4, V11, Out)],[V >= 0,V1 >= 0,V4 >= 0,V11 >= 0]).
eq(start(V, V1, V4, V11, V16),0,[ifTimes(V, V1, V4, V11, V16, Out)],[V >= 0,V1 >= 0,V4 >= 0,V11 >= 0,V16 >= 0]).
eq(start(V, V1, V4, V11, V16),0,[isZero(V, Out)],[V >= 0]).
eq(start(V, V1, V4, V11, V16),0,[inc(V, Out)],[V >= 0]).
eq(start(V, V1, V4, V11, V16),0,[p(V, Out)],[V >= 0]).
eq(start(V, V1, V4, V11, V16),0,[ge(V, V1, Out)],[V >= 0,V1 >= 0]).
eq(start(V, V1, V4, V11, V16),0,[f0(V, V1, V4, Out)],[V >= 0,V1 >= 0,V4 >= 0]).
eq(start(V, V1, V4, V11, V16),0,[f1(V, V1, V4, Out)],[V >= 0,V1 >= 0,V4 >= 0]).
eq(start(V, V1, V4, V11, V16),0,[f2(V, V1, V4, Out)],[V >= 0,V1 >= 0,V4 >= 0]).
eq(plus(V, V1, Out),1,[isZero(V2, Ret0),inc(V3, Ret2),ifPlus(Ret0, V2, Ret2, Ret)],[Out = Ret,V = V2,V1 = V3,V2 >= 0,V3 >= 0]).
eq(ifPlus(V, V1, V4, Out),1,[p(V5, Ret1)],[Out = Ret1,V4 = V5,V = 2,V6 >= 0,V5 >= 0,V1 = V6]).
eq(ifPlus(V, V1, V4, Out),1,[p(V7, Ret01),plus(Ret01, V8, Ret3)],[Out = Ret3,V4 = V8,V7 >= 0,V8 >= 0,V1 = V7,V = 1]).
eq(times(V, V1, Out),1,[timesIter(0, V9, V10, 0, Ret4)],[Out = Ret4,V = V9,V1 = V10,V9 >= 0,V10 >= 0]).
eq(timesIter(V, V1, V4, V11, Out),1,[ge(V12, V13, Ret02),ifTimes(Ret02, V12, V13, V14, V15, Ret5)],[Out = Ret5,V4 = V14,V15 >= 0,V11 = V15,V13 >= 0,V14 >= 0,V12 >= 0,V1 = V13,V = V12]).
eq(ifTimes(V, V1, V4, V11, V16, Out),1,[],[Out = V17,V11 = V18,V17 >= 0,V = 2,V1 = V19,V16 = V17,V20 >= 0,V18 >= 0,V19 >= 0,V4 = V20]).
eq(ifTimes(V, V1, V4, V11, V16, Out),1,[inc(V21, Ret03),plus(V24, V23, Ret31),timesIter(Ret03, V22, V23, Ret31, Ret6)],[Out = Ret6,V11 = V23,V24 >= 0,V1 = V21,V16 = V24,V22 >= 0,V23 >= 0,V21 >= 0,V = 1,V4 = V22]).
eq(isZero(V, Out),1,[],[Out = 2,V = 0]).
eq(isZero(V, Out),1,[],[Out = 1,V = 1]).
eq(isZero(V, Out),1,[isZero(1 + V25, Ret7)],[Out = Ret7,V25 >= 0,V = 2 + V25]).
eq(inc(V, Out),1,[],[Out = 1,V = 0]).
eq(inc(V, Out),1,[inc(V26, Ret11)],[Out = 1 + Ret11,V = 1 + V26,V26 >= 0]).
eq(inc(V, Out),1,[],[Out = 1 + V27,V = V27,V27 >= 0]).
eq(p(V, Out),1,[],[Out = 0,V = 0]).
eq(p(V, Out),1,[],[Out = V28,V = 1 + V28,V28 >= 0]).
eq(p(V, Out),1,[p(1 + V29, Ret12)],[Out = 1 + Ret12,V29 >= 0,V = 2 + V29]).
eq(ge(V, V1, Out),1,[],[Out = 2,V1 = 0,V = V30,V30 >= 0]).
eq(ge(V, V1, Out),1,[],[Out = 1,V31 >= 0,V1 = 1 + V31,V = 0]).
eq(ge(V, V1, Out),1,[ge(V32, V33, Ret8)],[Out = Ret8,V = 1 + V32,V32 >= 0,V33 >= 0,V1 = 1 + V33]).
eq(f0(V, V1, V4, Out),1,[f1(V34, V35, V34, Ret9)],[Out = Ret9,V1 = V35,V35 >= 0,V34 >= 0,V4 = V34,V = 0]).
eq(f1(V, V1, V4, Out),1,[f2(V36, V37, V38, Ret10)],[Out = Ret10,V4 = V38,V38 >= 0,V = V36,V1 = V37,V36 >= 0,V37 >= 0]).
eq(f2(V, V1, V4, Out),1,[f0(V39, V40, V40, Ret13)],[Out = Ret13,V4 = V40,V40 >= 0,V = V39,V39 >= 0,V1 = 1]).
eq(f0(V, V1, V4, Out),1,[],[Out = 2,V4 = V41,V41 >= 0,V = V42,V1 = V43,V42 >= 0,V43 >= 0]).
eq(f1(V, V1, V4, Out),1,[],[Out = 1,V4 = V44,V44 >= 0,V = V45,V1 = V46,V45 >= 0,V46 >= 0]).
eq(isZero(V, Out),0,[],[Out = 0,V47 >= 0,V = V47]).
eq(p(V, Out),0,[],[Out = 0,V48 >= 0,V = V48]).
eq(ge(V, V1, Out),0,[],[Out = 0,V49 >= 0,V50 >= 0,V1 = V50,V = V49]).
eq(f2(V, V1, V4, Out),0,[],[Out = 0,V51 >= 0,V4 = V52,V53 >= 0,V1 = V53,V52 >= 0,V = V51]).
eq(ifPlus(V, V1, V4, Out),0,[],[Out = 0,V54 >= 0,V4 = V55,V56 >= 0,V1 = V56,V55 >= 0,V = V54]).
eq(ifTimes(V, V1, V4, V11, V16, Out),0,[],[Out = 0,V11 = V57,V58 >= 0,V59 >= 0,V4 = V60,V61 >= 0,V1 = V61,V16 = V59,V60 >= 0,V57 >= 0,V = V58]).
input_output_vars(plus(V,V1,Out),[V,V1],[Out]).
input_output_vars(ifPlus(V,V1,V4,Out),[V,V1,V4],[Out]).
input_output_vars(times(V,V1,Out),[V,V1],[Out]).
input_output_vars(timesIter(V,V1,V4,V11,Out),[V,V1,V4,V11],[Out]).
input_output_vars(ifTimes(V,V1,V4,V11,V16,Out),[V,V1,V4,V11,V16],[Out]).
input_output_vars(isZero(V,Out),[V],[Out]).
input_output_vars(inc(V,Out),[V],[Out]).
input_output_vars(p(V,Out),[V],[Out]).
input_output_vars(ge(V,V1,Out),[V,V1],[Out]).
input_output_vars(f0(V,V1,V4,Out),[V,V1,V4],[Out]).
input_output_vars(f1(V,V1,V4,Out),[V,V1,V4],[Out]).
input_output_vars(f2(V,V1,V4,Out),[V,V1,V4],[Out]).

CoFloCo proof output:
Preprocessing Cost Relations
=====================================

#### Computed strongly connected components
0. recursive : [f0/4,f1/4,f2/4]
1. recursive : [ge/3]
2. recursive : [p/2]
3. recursive : [inc/2]
4. recursive : [isZero/2]
5. recursive : [ifPlus/4,plus/3]
6. recursive : [ifTimes/6,timesIter/5]
7. non_recursive : [times/3]
8. non_recursive : [start/5]

#### Obtained direct recursion through partial evaluation
0. SCC is partially evaluated into f2/4
1. SCC is partially evaluated into ge/3
2. SCC is partially evaluated into p/2
3. SCC is partially evaluated into inc/2
4. SCC is partially evaluated into isZero/2
5. SCC is partially evaluated into plus/3
6. SCC is partially evaluated into timesIter/5
7. SCC is completely evaluated into other SCCs
8. SCC is partially evaluated into start/5

Control-Flow Refinement of Cost Relations
=====================================

### Specialization of cost equations f2/4
* CE 33 is refined into CE [42]
* CE 30 is refined into CE [43]
* CE 32 is refined into CE [44]
* CE 31 is refined into CE [45]


### Cost equations --> "Loop" of f2/4
* CEs [45] --> Loop 26
* CEs [42] --> Loop 27
* CEs [43] --> Loop 28
* CEs [44] --> Loop 29

### Ranking functions of CR f2(V,V1,V4,Out)

#### Partial ranking functions of CR f2(V,V1,V4,Out)


### Specialization of cost equations ge/3
* CE 41 is refined into CE [46]
* CE 38 is refined into CE [47]
* CE 39 is refined into CE [48]
* CE 40 is refined into CE [49]


### Cost equations --> "Loop" of ge/3
* CEs [49] --> Loop 30
* CEs [46] --> Loop 31
* CEs [47] --> Loop 32
* CEs [48] --> Loop 33

### Ranking functions of CR ge(V,V1,Out)
* RF of phase [30]: [V,V1]

#### Partial ranking functions of CR ge(V,V1,Out)
* Partial RF of phase [30]:
- RF of loop [30:1]:
V
V1


### Specialization of cost equations p/2
* CE 27 is refined into CE [50]
* CE 26 is refined into CE [51]
* CE 29 is refined into CE [52]
* CE 28 is refined into CE [53]


### Cost equations --> "Loop" of p/2
* CEs [53] --> Loop 34
* CEs [50] --> Loop 35
* CEs [51,52] --> Loop 36

### Ranking functions of CR p(V,Out)
* RF of phase [34]: [V-1]

#### Partial ranking functions of CR p(V,Out)
* Partial RF of phase [34]:
- RF of loop [34:1]:
V-1


### Specialization of cost equations inc/2
* CE 18 is refined into CE [54]
* CE 19 is refined into CE [55]


### Cost equations --> "Loop" of inc/2
* CEs [55] --> Loop 37
* CEs [54] --> Loop 38

### Ranking functions of CR inc(V,Out)
* RF of phase [37]: [V]

#### Partial ranking functions of CR inc(V,Out)
* Partial RF of phase [37]:
- RF of loop [37:1]:
V


### Specialization of cost equations isZero/2
* CE 37 is refined into CE [56]
* CE 35 is refined into CE [57]
* CE 34 is refined into CE [58]
* CE 36 is refined into CE [59]


### Cost equations --> "Loop" of isZero/2
* CEs [59] --> Loop 39
* CEs [56] --> Loop 40
* CEs [57] --> Loop 41
* CEs [58] --> Loop 42

### Ranking functions of CR isZero(V,Out)
* RF of phase [39]: [V-1]

#### Partial ranking functions of CR isZero(V,Out)
* Partial RF of phase [39]:
- RF of loop [39:1]:
V-1


### Specialization of cost equations plus/3
* CE 20 is refined into CE [60,61,62,63]
* CE 22 is refined into CE [64,65,66]
* CE 21 is refined into CE [67,68,69,70,71]


### Cost equations --> "Loop" of plus/3
* CEs [70,71] --> Loop 43
* CEs [69] --> Loop 44
* CEs [67,68] --> Loop 45
* CEs [61] --> Loop 46
* CEs [66] --> Loop 47
* CEs [65] --> Loop 48
* CEs [60,62,63,64] --> Loop 49

### Ranking functions of CR plus(V,V1,Out)
* RF of phase [43]: [V-1]

#### Partial ranking functions of CR plus(V,V1,Out)
* Partial RF of phase [43]:
- RF of loop [43:1]:
V-1


### Specialization of cost equations timesIter/5
* CE 25 is refined into CE [72,73]
* CE 23 is refined into CE [74,75,76,77,78]
* CE 24 is refined into CE [79,80,81,82,83,84,85,86,87,88]


### Cost equations --> "Loop" of timesIter/5
* CEs [88] --> Loop 50
* CEs [86] --> Loop 51
* CEs [87] --> Loop 52
* CEs [85] --> Loop 53
* CEs [84] --> Loop 54
* CEs [83] --> Loop 55
* CEs [81] --> Loop 56
* CEs [82] --> Loop 57
* CEs [80] --> Loop 58
* CEs [79] --> Loop 59
* CEs [73] --> Loop 60
* CEs [72] --> Loop 61
* CEs [75] --> Loop 62
* CEs [74,76,77,78] --> Loop 63

### Ranking functions of CR timesIter(V,V1,V4,V11,Out)
* RF of phase [50,51,52,53,54]: [-V+V1]

#### Partial ranking functions of CR timesIter(V,V1,V4,V11,Out)
* Partial RF of phase [50,51,52,53,54]:
- RF of loop [50:1,51:1,52:1,53:1,54:1]:
-V+V1
- RF of loop [53:1]:
-V11+1 depends on loops [50:1,51:1]


### Specialization of cost equations start/5
* CE 6 is refined into CE [89,90,91]
* CE 3 is refined into CE [92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116]
* CE 5 is refined into CE [117,118,119,120,121,122,123,124,125,126,127]
* CE 2 is refined into CE [128]
* CE 4 is refined into CE [129]
* CE 7 is refined into CE [130,131,132]
* CE 8 is refined into CE [133]
* CE 9 is refined into CE [134,135,136]
* CE 10 is refined into CE [137,138,139,140,141]
* CE 11 is refined into CE [142,143,144,145,146,147,148]
* CE 12 is refined into CE [149,150,151,152,153,154,155,156,157,158,159,160,161]
* CE 13 is refined into CE [162,163,164,165]
* CE 14 is refined into CE [166]
* CE 15 is refined into CE [167,168,169]
* CE 16 is refined into CE [170,171,172,173,174]
* CE 17 is refined into CE [175,176,177]


### Cost equations --> "Loop" of start/5
* CEs [134,175] --> Loop 64
* CEs [158,159,171] --> Loop 65
* CEs [89,90,91] --> Loop 66
* CEs [92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,140,142,143,163] --> Loop 67
* CEs [128,129,130,131,132,133,135,136,137,138,139,141,144,145,146,147,148,149,150,151,152,153,154,155,156,157,160,161,162,164,165,166,167,168,169,170,172,173,174,176,177] --> Loop 68

### Ranking functions of CR start(V,V1,V4,V11,V16)

#### Partial ranking functions of CR start(V,V1,V4,V11,V16)


Computing Bounds
=====================================

#### Cost of chains of f2(V,V1,V4,Out):
* Chain [29]: 3
with precondition: [V=0,V1=1,Out=1,V4>=0]

* Chain [28]: 2
with precondition: [V1=1,Out=2,V>=0,V4>=0]

* Chain [27]: 0
with precondition: [Out=0,V>=0,V1>=0,V4>=0]

* Chain [26,28]: 5
with precondition: [V=0,V1=1,V4=1,Out=2]

* Chain [26,27]: 3
with precondition: [V=0,V1=1,Out=0,V4>=0]


#### Cost of chains of ge(V,V1,Out):
* Chain [[30],33]: 1*it(30)+1
Such that:it(30) =< V

with precondition: [Out=1,V>=1,V1>=V+1]

* Chain [[30],32]: 1*it(30)+1
Such that:it(30) =< V1

with precondition: [Out=2,V1>=1,V>=V1]

* Chain [[30],31]: 1*it(30)+0
Such that:it(30) =< V1

with precondition: [Out=0,V>=1,V1>=1]

* Chain [33]: 1
with precondition: [V=0,Out=1,V1>=1]

* Chain [32]: 1
with precondition: [V1=0,Out=2,V>=0]

* Chain [31]: 0
with precondition: [Out=0,V>=0,V1>=0]


#### Cost of chains of p(V,Out):
* Chain [[34],36]: 1*it(34)+1
Such that:it(34) =< Out

with precondition: [Out>=1,V>=Out+1]

* Chain [[34],35]: 1*it(34)+1
Such that:it(34) =< Out

with precondition: [V=Out+1,V>=2]

* Chain [36]: 1
with precondition: [Out=0,V>=0]

* Chain [35]: 1
with precondition: [V=Out+1,V>=1]


#### Cost of chains of inc(V,Out):
* Chain [[37],38]: 1*it(37)+1
Such that:it(37) =< Out

with precondition: [V+1=Out,V>=1]

* Chain [38]: 1
with precondition: [V+1=Out,V>=0]


#### Cost of chains of isZero(V,Out):
* Chain [[39],41]: 1*it(39)+1
Such that:it(39) =< V

with precondition: [Out=1,V>=2]

* Chain [[39],40]: 1*it(39)+0
Such that:it(39) =< V

with precondition: [Out=0,V>=2]

* Chain [42]: 1
with precondition: [V=0,Out=2]

* Chain [41]: 1
with precondition: [V=1,Out=1]

* Chain [40]: 0
with precondition: [Out=0,V>=0]


#### Cost of chains of plus(V,V1,Out):
* Chain [[43],49]: 7*it(43)+4*s(5)+3*s(22)+2*s(23)+1*s(24)+5
Such that:aux(8) =< V+V1
aux(2) =< V+V1+1
aux(10) =< V
it(43) =< aux(10)
s(5) =< aux(2)
aux(7) =< aux(10)-1
s(25) =< it(43)*aux(8)
s(26) =< it(43)*aux(10)
s(24) =< it(43)*aux(7)
s(22) =< s(26)
s(23) =< s(25)

with precondition: [Out=0,V>=2,V1>=0]

* Chain [[43],46]: 5*it(43)+3*s(22)+2*s(23)+1*s(24)+1*s(27)+3
Such that:aux(11) =< V
aux(12) =< V+V1
it(43) =< aux(11)
s(27) =< aux(12)
aux(7) =< aux(11)-1
s(25) =< it(43)*aux(12)
s(26) =< it(43)*aux(11)
s(24) =< it(43)*aux(7)
s(22) =< s(26)
s(23) =< s(25)

with precondition: [Out=0,V>=2,V1>=0]

* Chain [[43],45,49]: 5*it(43)+4*s(5)+3*s(22)+2*s(23)+1*s(24)+2*s(28)+10
Such that:aux(2) =< V+V1+1
aux(14) =< V
aux(15) =< V+V1
it(43) =< aux(14)
s(5) =< aux(2)
s(28) =< aux(15)
aux(7) =< aux(14)-1
s(25) =< it(43)*aux(15)
s(26) =< it(43)*aux(14)
s(24) =< it(43)*aux(7)
s(22) =< s(26)
s(23) =< s(25)

with precondition: [Out=0,V>=2,V1>=0]

* Chain [[43],45,48]: 5*it(43)+3*s(22)+2*s(23)+1*s(24)+3*s(28)+1*s(31)+10
Such that:aux(8) =< V+V1
aux(16) =< Out
s(31) =< Out+1
aux(17) =< V
it(43) =< aux(17)
s(28) =< aux(16)
aux(7) =< aux(17)-1
s(25) =< it(43)*aux(8)
s(26) =< it(43)*aux(17)
s(24) =< it(43)*aux(7)
s(22) =< s(26)
s(23) =< s(25)

with precondition: [V1>=0,Out>=V1+2,V+V1>=Out]

* Chain [[43],45,47]: 5*it(43)+3*s(22)+2*s(23)+1*s(24)+3*s(28)+1*s(33)+10
Such that:s(33) =< V+V1+1
aux(19) =< V
aux(20) =< V+V1
it(43) =< aux(19)
s(28) =< aux(20)
aux(7) =< aux(19)-1
s(25) =< it(43)*aux(20)
s(26) =< it(43)*aux(19)
s(24) =< it(43)*aux(7)
s(22) =< s(26)
s(23) =< s(25)

with precondition: [V>=2,V1>=0,Out>=1,V+V1>=Out]

* Chain [[43],44,49]: 6*it(43)+4*s(5)+3*s(22)+2*s(23)+1*s(24)+1*s(36)+10
Such that:aux(8) =< V+V1
s(36) =< V+V1+1
aux(2) =< V+V1+2
aux(21) =< V
it(43) =< aux(21)
s(5) =< aux(2)
aux(7) =< aux(21)-1
s(25) =< it(43)*aux(8)
s(26) =< it(43)*aux(21)
s(24) =< it(43)*aux(7)
s(22) =< s(26)
s(23) =< s(25)

with precondition: [Out=0,V>=3,V1>=0]

* Chain [[43],44,48]: 6*it(43)+3*s(22)+2*s(23)+1*s(24)+1*s(31)+2*s(32)+10
Such that:aux(8) =< V+V1
aux(22) =< Out
s(31) =< Out+1
aux(23) =< V
it(43) =< aux(23)
s(32) =< aux(22)
aux(7) =< aux(23)-1
s(25) =< it(43)*aux(8)
s(26) =< it(43)*aux(23)
s(24) =< it(43)*aux(7)
s(22) =< s(26)
s(23) =< s(25)

with precondition: [V1>=0,Out>=V1+2,V+V1>=Out+1]

* Chain [[43],44,47]: 6*it(43)+3*s(22)+2*s(23)+1*s(24)+1*s(33)+2*s(34)+10
Such that:aux(8) =< V+V1
aux(24) =< V+V1+1
s(33) =< V+V1+2
aux(25) =< V
it(43) =< aux(25)
s(34) =< aux(24)
aux(7) =< aux(25)-1
s(25) =< it(43)*aux(8)
s(26) =< it(43)*aux(25)
s(24) =< it(43)*aux(7)
s(22) =< s(26)
s(23) =< s(25)

with precondition: [V>=3,V1>=0,Out>=1,V+V1>=Out+1]

* Chain [49]: 4*s(5)+2*s(6)+5
Such that:aux(1) =< V
aux(2) =< V1+1
s(6) =< aux(1)
s(5) =< aux(2)

with precondition: [Out=0,V>=0,V1>=0]

* Chain [48]: 1*s(31)+1*s(32)+5
Such that:s(32) =< V1
s(31) =< V1+1

with precondition: [V=0,V1=Out,V1>=0]

* Chain [47]: 1*s(33)+1*s(34)+5
Such that:s(34) =< V1
s(33) =< V1+1

with precondition: [V=0,Out>=1,V1>=Out]

* Chain [46]: 1*s(27)+3
Such that:s(27) =< V1+1

with precondition: [V=1,Out=0,V1>=0]

* Chain [45,49]: 4*s(5)+2*s(28)+10
Such that:aux(13) =< V1+1
aux(2) =< V1+2
s(5) =< aux(2)
s(28) =< aux(13)

with precondition: [V=1,Out=0,V1>=0]

* Chain [45,48]: 3*s(28)+1*s(31)+10
Such that:s(31) =< Out+1
aux(16) =< Out
s(28) =< aux(16)

with precondition: [V=1,Out=V1+1,Out>=1]

* Chain [45,47]: 3*s(28)+1*s(33)+10
Such that:s(33) =< V1+2
aux(18) =< V1+1
s(28) =< aux(18)

with precondition: [V=1,Out>=1,V1+1>=Out]

* Chain [44,49]: 4*s(5)+1*s(35)+1*s(36)+10
Such that:s(35) =< V
s(36) =< V1+1
aux(2) =< V1+2
s(5) =< aux(2)

with precondition: [Out=0,V>=2,V1>=0]

* Chain [44,48]: 1*s(31)+2*s(32)+1*s(35)+10
Such that:s(35) =< V
s(31) =< Out+1
aux(22) =< Out
s(32) =< aux(22)

with precondition: [Out=V1+1,V>=2,Out>=1]

* Chain [44,47]: 1*s(33)+2*s(34)+1*s(35)+10
Such that:s(35) =< V
s(33) =< V1+2
aux(24) =< V1+1
s(34) =< aux(24)

with precondition: [V>=2,Out>=1,V1+1>=Out]


#### Cost of chains of timesIter(V,V1,V4,V11,Out):
* Chain [[50,51,52,53,54],63]: 42*it(50)+18*it(53)+3*s(156)+1*s(275)+3*s(276)+1*s(277)+2*s(278)+24*s(279)+15*s(280)+2*s(282)+13*s(283)+4*s(284)+12*s(285)+8*s(286)+2*s(296)+26*s(298)+11*s(300)+8*s(301)+4*s(303)+12*s(304)+8*s(305)+4*s(306)+1*s(318)+3*s(320)+4*s(323)+1*s(324)+1*s(325)+1*s(328)+1*s(329)+2
Such that:aux(95) =< -2*V+2*V1+V4
aux(93) =< -2*V+2*V1+V4-V11+1
aux(89) =< -V+V1+V4
aux(114) =< -V+V1+V4-V11
aux(87) =< -V+V1+V4-V11+1
aux(51) =< V4+1
aux(129) =< V4-V11
aux(101) =< V4-V11+1
aux(39) =< V4+V11
aux(131) =< -V+V1
aux(132) =< V1
aux(133) =< V11
s(156) =< aux(132)
it(50) =< aux(131)
it(53) =< aux(131)
aux(59) =< aux(51)-1
aux(122) =< aux(51)-2
aux(117) =< aux(89)
aux(116) =< aux(89)-1
aux(79) =< aux(51)
aux(50) =< aux(132)+1
aux(96) =< aux(95)+1
aux(52) =< aux(51)+1
aux(90) =< aux(89)+1
aux(61) =< aux(132)
aux(91) =< it(50)*aux(95)
aux(85) =< it(50)*aux(89)
s(292) =< it(50)*aux(51)
s(275) =< it(50)*aux(132)
aux(40) =< it(50)*aux(59)
aux(118) =< it(50)*aux(122)
aux(113) =< it(50)*aux(117)
aux(112) =< it(50)*aux(116)
aux(41) =< it(50)*aux(59)
aux(100) =< it(50)*aux(79)
aux(92) =< it(50)*aux(96)
s(318) =< it(50)*aux(52)
aux(86) =< it(50)*aux(90)
s(321) =< it(50)*aux(79)
s(278) =< it(50)*aux(52)
s(276) =< it(50)*aux(50)
s(296) =< it(50)*aux(61)
s(311) =< it(50)*aux(52)
aux(43) =< aux(40)+aux(118)+aux(129)
s(329) =< aux(113)+aux(112)+aux(114)
aux(47) =< aux(100)+aux(40)+aux(101)
aux(41) =< aux(100)+aux(40)+aux(101)
aux(42) =< aux(92)+aux(91)+aux(93)
s(318) =< aux(92)+aux(91)+aux(93)
s(328) =< aux(92)+aux(91)+aux(93)
it(53) =< aux(86)+aux(85)+aux(87)
s(321) =< aux(86)+aux(85)+aux(87)
aux(43) =< it(53)*aux(59)
s(329) =< it(53)*aux(79)
s(326) =< it(53)*aux(50)
aux(65) =< it(53)*aux(59)
s(325) =< it(53)*aux(79)
s(324) =< it(53)*aux(59)
s(188) =< aux(133)+aux(40)+aux(41)+aux(47)+aux(47)
s(185) =< aux(39)+aux(40)+aux(41)+aux(42)+aux(43)
s(314) =< aux(43)+aux(65)+aux(40)+aux(40)+aux(133)
aux(55) =< s(185)+2
aux(54) =< s(185)+1
aux(53) =< s(185)
aux(56) =< s(188)
s(307) =< it(50)*aux(55)
s(293) =< it(50)*aux(54)
s(288) =< it(50)*aux(53)
s(314) =< it(50)*aux(56)
s(295) =< it(50)*aux(56)
s(277) =< it(50)*aux(55)
s(323) =< s(326)
s(300) =< aux(100)
s(320) =< s(321)
s(298) =< s(314)
s(280) =< s(293)
s(301) =< s(311)
s(283) =< s(288)
s(236) =< aux(56)-1
s(308) =< s(298)*aux(53)
s(309) =< s(298)*aux(56)
s(303) =< s(298)*s(236)
s(304) =< s(309)
s(305) =< s(308)
s(306) =< s(307)
s(279) =< s(295)
s(282) =< s(292)
s(196) =< s(188)-1
s(289) =< s(279)*s(185)
s(290) =< s(279)*s(188)
s(284) =< s(279)*s(196)
s(285) =< s(290)
s(286) =< s(289)

with precondition: [Out=0,V>=1,V4>=0,V11>=0,V1>=V+1]

* Chain [[50,51,52,53,54],60]: 42*it(50)+18*it(53)+1*s(275)+3*s(276)+1*s(277)+2*s(278)+24*s(279)+15*s(280)+2*s(282)+13*s(283)+4*s(284)+12*s(285)+8*s(286)+2*s(296)+26*s(298)+11*s(300)+8*s(301)+4*s(303)+12*s(304)+8*s(305)+4*s(306)+1*s(318)+3*s(320)+4*s(323)+1*s(324)+1*s(325)+1*s(328)+1*s(329)+1*s(331)+3
Such that:aux(95) =< -2*V+2*V1+V4
aux(93) =< -2*V+2*V1+V4-V11+1
aux(89) =< -V+V1+V4
aux(114) =< -V+V1+V4-V11
aux(87) =< -V+V1+V4-V11+1
aux(51) =< V4+1
aux(129) =< V4-V11
aux(101) =< V4-V11+1
aux(39) =< V4+V11
aux(130) =< V11
aux(72) =< V11-Out
aux(134) =< -V+V1
aux(135) =< V1
s(331) =< aux(135)
it(50) =< aux(134)
it(53) =< aux(134)
aux(59) =< aux(51)-1
aux(122) =< aux(51)-2
aux(117) =< aux(89)
aux(116) =< aux(89)-1
aux(79) =< aux(51)
aux(50) =< aux(135)+1
aux(96) =< aux(95)+1
aux(52) =< aux(51)+1
aux(90) =< aux(89)+1
aux(61) =< aux(135)
aux(91) =< it(50)*aux(95)
aux(85) =< it(50)*aux(89)
s(292) =< it(50)*aux(51)
s(275) =< it(50)*aux(135)
aux(40) =< it(50)*aux(59)
aux(118) =< it(50)*aux(122)
aux(113) =< it(50)*aux(117)
aux(112) =< it(50)*aux(116)
aux(41) =< it(50)*aux(59)
aux(100) =< it(50)*aux(79)
aux(92) =< it(50)*aux(96)
s(318) =< it(50)*aux(52)
aux(86) =< it(50)*aux(90)
s(321) =< it(50)*aux(79)
s(278) =< it(50)*aux(52)
s(276) =< it(50)*aux(50)
s(296) =< it(50)*aux(61)
s(311) =< it(50)*aux(52)
aux(43) =< aux(40)+aux(118)+aux(129)
s(329) =< aux(113)+aux(112)+aux(114)
aux(47) =< aux(100)+aux(40)+aux(101)
aux(41) =< aux(100)+aux(40)+aux(101)
aux(42) =< aux(92)+aux(91)+aux(93)
s(318) =< aux(92)+aux(91)+aux(93)
s(328) =< aux(92)+aux(91)+aux(93)
it(53) =< aux(86)+aux(85)+aux(87)
s(321) =< aux(86)+aux(85)+aux(87)
aux(43) =< it(53)*aux(59)
s(329) =< it(53)*aux(79)
s(326) =< it(53)*aux(50)
aux(65) =< it(53)*aux(59)
s(325) =< it(53)*aux(79)
s(324) =< it(53)*aux(59)
s(188) =< aux(130)+aux(40)+aux(41)+aux(47)+aux(47)
s(185) =< aux(39)+aux(40)+aux(41)+aux(42)+aux(43)
s(314) =< aux(43)+aux(65)+aux(40)+aux(40)+aux(130)
aux(55) =< s(185)+2
aux(54) =< s(185)+1
aux(53) =< s(185)
aux(56) =< s(188)
s(314) =< aux(43)+aux(65)+aux(40)+aux(40)+aux(72)
s(307) =< it(50)*aux(55)
s(293) =< it(50)*aux(54)
s(288) =< it(50)*aux(53)
s(314) =< it(50)*aux(56)
s(295) =< it(50)*aux(56)
s(277) =< it(50)*aux(55)
s(323) =< s(326)
s(300) =< aux(100)
s(320) =< s(321)
s(298) =< s(314)
s(280) =< s(293)
s(301) =< s(311)
s(283) =< s(288)
s(236) =< aux(56)-1
s(308) =< s(298)*aux(53)
s(309) =< s(298)*aux(56)
s(303) =< s(298)*s(236)
s(304) =< s(309)
s(305) =< s(308)
s(306) =< s(307)
s(279) =< s(295)
s(282) =< s(292)
s(196) =< s(188)-1
s(289) =< s(279)*s(185)
s(290) =< s(279)*s(188)
s(284) =< s(279)*s(196)
s(285) =< s(290)
s(286) =< s(289)

with precondition: [V>=1,V4>=0,V11>=0,Out>=0,V1>=V+1]

* Chain [63]: 2*s(156)+1*s(157)+2
Such that:s(157) =< V
aux(36) =< V1
s(156) =< aux(36)

with precondition: [Out=0,V>=0,V1>=0,V4>=0,V11>=0]

* Chain [62]: 2
with precondition: [V1=0,Out=0,V>=0,V4>=0,V11>=0]

* Chain [61]: 3
with precondition: [V1=0,V11=Out,V>=0,V4>=0,V11>=0]

* Chain [60]: 1*s(331)+3
Such that:s(331) =< V1

with precondition: [V11=Out,V1>=1,V4>=0,V11>=0,V>=V1]

* Chain [59,[50,51,52,53,54],63]: 45*it(50)+18*it(53)+1*s(275)+3*s(276)+1*s(277)+2*s(278)+24*s(279)+15*s(280)+2*s(282)+13*s(283)+4*s(284)+12*s(285)+8*s(286)+2*s(296)+26*s(298)+11*s(300)+8*s(301)+4*s(303)+12*s(304)+8*s(305)+4*s(306)+1*s(318)+3*s(320)+4*s(323)+1*s(324)+1*s(325)+1*s(328)+1*s(329)+1*s(332)+1*s(333)+1*s(334)+11
Such that:aux(89) =< V1+V4
aux(93) =< 2*V1
aux(95) =< 2*V1+V4
aux(39) =< 2*V4
aux(136) =< 1
aux(137) =< V1
aux(138) =< V4
aux(139) =< V4+1
s(332) =< aux(136)
s(333) =< aux(138)
s(334) =< aux(139)
it(50) =< aux(137)
it(53) =< aux(137)
aux(59) =< aux(139)-1
aux(122) =< aux(139)-2
aux(117) =< aux(89)
aux(116) =< aux(89)-1
aux(79) =< aux(139)
aux(50) =< aux(137)+1
aux(96) =< aux(95)+1
aux(52) =< aux(139)+1
aux(90) =< aux(89)+1
aux(61) =< aux(137)
aux(91) =< it(50)*aux(95)
aux(85) =< it(50)*aux(89)
s(292) =< it(50)*aux(139)
s(275) =< it(50)*aux(137)
aux(40) =< it(50)*aux(59)
aux(118) =< it(50)*aux(122)
aux(113) =< it(50)*aux(117)
aux(112) =< it(50)*aux(116)
aux(41) =< it(50)*aux(59)
aux(100) =< it(50)*aux(79)
aux(92) =< it(50)*aux(96)
s(318) =< it(50)*aux(52)
aux(86) =< it(50)*aux(90)
s(321) =< it(50)*aux(79)
s(278) =< it(50)*aux(52)
s(276) =< it(50)*aux(50)
s(296) =< it(50)*aux(61)
s(311) =< it(50)*aux(52)
aux(43) =< aux(40)+aux(118)
s(329) =< aux(113)+aux(112)+aux(137)
aux(47) =< aux(100)+aux(40)+aux(136)
aux(41) =< aux(100)+aux(40)+aux(136)
aux(42) =< aux(92)+aux(91)+aux(93)
s(318) =< aux(92)+aux(91)+aux(93)
s(328) =< aux(92)+aux(91)+aux(93)
it(53) =< aux(86)+aux(85)+aux(137)
s(321) =< aux(86)+aux(85)+aux(137)
aux(43) =< it(53)*aux(59)
s(329) =< it(53)*aux(79)
s(326) =< it(53)*aux(50)
aux(65) =< it(53)*aux(59)
s(325) =< it(53)*aux(79)
s(324) =< it(53)*aux(59)
s(188) =< aux(138)+aux(40)+aux(41)+aux(47)+aux(47)
s(185) =< aux(39)+aux(40)+aux(41)+aux(42)+aux(43)
s(314) =< aux(43)+aux(65)+aux(40)+aux(40)+aux(138)
aux(55) =< s(185)+2
aux(54) =< s(185)+1
aux(53) =< s(185)
aux(56) =< s(188)
s(307) =< it(50)*aux(55)
s(293) =< it(50)*aux(54)
s(288) =< it(50)*aux(53)
s(314) =< it(50)*aux(56)
s(295) =< it(50)*aux(56)
s(277) =< it(50)*aux(55)
s(323) =< s(326)
s(300) =< aux(100)
s(320) =< s(321)
s(298) =< s(314)
s(280) =< s(293)
s(301) =< s(311)
s(283) =< s(288)
s(236) =< aux(56)-1
s(308) =< s(298)*aux(53)
s(309) =< s(298)*aux(56)
s(303) =< s(298)*s(236)
s(304) =< s(309)
s(305) =< s(308)
s(306) =< s(307)
s(279) =< s(295)
s(282) =< s(292)
s(196) =< s(188)-1
s(289) =< s(279)*s(185)
s(290) =< s(279)*s(188)
s(284) =< s(279)*s(196)
s(285) =< s(290)
s(286) =< s(289)

with precondition: [V=0,V11=0,Out=0,V1>=2,V4>=0]

* Chain [59,[50,51,52,53,54],60]: 43*it(50)+18*it(53)+1*s(275)+3*s(276)+1*s(277)+2*s(278)+24*s(279)+15*s(280)+2*s(282)+13*s(283)+4*s(284)+12*s(285)+8*s(286)+2*s(296)+26*s(298)+11*s(300)+8*s(301)+4*s(303)+12*s(304)+8*s(305)+4*s(306)+1*s(318)+3*s(320)+4*s(323)+1*s(324)+1*s(325)+1*s(328)+1*s(329)+1*s(332)+1*s(333)+1*s(334)+12
Such that:aux(89) =< V1+V4
aux(93) =< 2*V1
aux(95) =< 2*V1+V4
aux(72) =< V4-Out
aux(39) =< 2*V4
aux(140) =< 1
aux(141) =< V1
aux(142) =< V4
aux(143) =< V4+1
s(332) =< aux(140)
s(333) =< aux(142)
s(334) =< aux(143)
it(50) =< aux(141)
it(53) =< aux(141)
aux(59) =< aux(143)-1
aux(122) =< aux(143)-2
aux(117) =< aux(89)
aux(116) =< aux(89)-1
aux(79) =< aux(143)
aux(50) =< aux(141)+1
aux(96) =< aux(95)+1
aux(52) =< aux(143)+1
aux(90) =< aux(89)+1
aux(61) =< aux(141)
aux(91) =< it(50)*aux(95)
aux(85) =< it(50)*aux(89)
s(292) =< it(50)*aux(143)
s(275) =< it(50)*aux(141)
aux(40) =< it(50)*aux(59)
aux(118) =< it(50)*aux(122)
aux(113) =< it(50)*aux(117)
aux(112) =< it(50)*aux(116)
aux(41) =< it(50)*aux(59)
aux(100) =< it(50)*aux(79)
aux(92) =< it(50)*aux(96)
s(318) =< it(50)*aux(52)
aux(86) =< it(50)*aux(90)
s(321) =< it(50)*aux(79)
s(278) =< it(50)*aux(52)
s(276) =< it(50)*aux(50)
s(296) =< it(50)*aux(61)
s(311) =< it(50)*aux(52)
aux(43) =< aux(40)+aux(118)
s(329) =< aux(113)+aux(112)+aux(141)
aux(47) =< aux(100)+aux(40)+aux(140)
aux(41) =< aux(100)+aux(40)+aux(140)
aux(42) =< aux(92)+aux(91)+aux(93)
s(318) =< aux(92)+aux(91)+aux(93)
s(328) =< aux(92)+aux(91)+aux(93)
it(53) =< aux(86)+aux(85)+aux(141)
s(321) =< aux(86)+aux(85)+aux(141)
aux(43) =< it(53)*aux(59)
s(329) =< it(53)*aux(79)
s(326) =< it(53)*aux(50)
aux(65) =< it(53)*aux(59)
s(325) =< it(53)*aux(79)
s(324) =< it(53)*aux(59)
s(188) =< aux(142)+aux(40)+aux(41)+aux(47)+aux(47)
s(185) =< aux(39)+aux(40)+aux(41)+aux(42)+aux(43)
s(314) =< aux(43)+aux(65)+aux(40)+aux(40)+aux(142)
aux(55) =< s(185)+2
aux(54) =< s(185)+1
aux(53) =< s(185)
aux(56) =< s(188)
s(314) =< aux(43)+aux(65)+aux(40)+aux(40)+aux(72)
s(307) =< it(50)*aux(55)
s(293) =< it(50)*aux(54)
s(288) =< it(50)*aux(53)
s(314) =< it(50)*aux(56)
s(295) =< it(50)*aux(56)
s(277) =< it(50)*aux(55)
s(323) =< s(326)
s(300) =< aux(100)
s(320) =< s(321)
s(298) =< s(314)
s(280) =< s(293)
s(301) =< s(311)
s(283) =< s(288)
s(236) =< aux(56)-1
s(308) =< s(298)*aux(53)
s(309) =< s(298)*aux(56)
s(303) =< s(298)*s(236)
s(304) =< s(309)
s(305) =< s(308)
s(306) =< s(307)
s(279) =< s(295)
s(282) =< s(292)
s(196) =< s(188)-1
s(289) =< s(279)*s(185)
s(290) =< s(279)*s(188)
s(284) =< s(279)*s(196)
s(285) =< s(290)
s(286) =< s(289)

with precondition: [V=0,V11=0,V1>=2,V4>=0,Out>=0]

* Chain [59,63]: 2*s(156)+2*s(157)+1*s(333)+1*s(334)+11
Such that:aux(36) =< V1
s(333) =< V4
s(334) =< V4+1
aux(144) =< 1
s(157) =< aux(144)
s(156) =< aux(36)

with precondition: [V=0,V11=0,Out=0,V1>=1,V4>=0]

* Chain [59,60]: 2*s(331)+1*s(333)+1*s(334)+12
Such that:s(333) =< Out
s(334) =< Out+1
aux(145) =< 1
s(331) =< aux(145)

with precondition: [V=0,V1=1,V11=0,V4=Out,V4>=0]

* Chain [58,[50,51,52,53,54],63]: 45*it(50)+18*it(53)+1*s(275)+3*s(276)+1*s(277)+2*s(278)+24*s(279)+15*s(280)+2*s(282)+13*s(283)+4*s(284)+12*s(285)+8*s(286)+2*s(296)+26*s(298)+11*s(300)+8*s(301)+4*s(303)+12*s(304)+8*s(305)+4*s(306)+1*s(318)+3*s(320)+4*s(323)+1*s(324)+1*s(325)+1*s(328)+1*s(329)+1*s(335)+1*s(336)+1*s(337)+11
Such that:s(335) =< 1
aux(95) =< 2*V1+V4
aux(93) =< 2*V1+2*V4
s(336) =< V4
aux(129) =< 2*V4
aux(101) =< 2*V4+1
aux(146) =< V1
aux(147) =< V1+V4
aux(148) =< V1+2*V4
aux(149) =< V4+1
s(337) =< aux(149)
it(50) =< aux(146)
it(53) =< aux(146)
aux(59) =< aux(149)-1
aux(122) =< aux(149)-2
aux(117) =< aux(147)
aux(116) =< aux(147)-1
aux(79) =< aux(149)
aux(50) =< aux(146)+1
aux(96) =< aux(95)+1
aux(52) =< aux(149)+1
aux(90) =< aux(147)+1
aux(61) =< aux(146)
aux(91) =< it(50)*aux(95)
aux(85) =< it(50)*aux(147)
s(292) =< it(50)*aux(149)
s(275) =< it(50)*aux(146)
aux(40) =< it(50)*aux(59)
aux(118) =< it(50)*aux(122)
aux(113) =< it(50)*aux(117)
aux(112) =< it(50)*aux(116)
aux(41) =< it(50)*aux(59)
aux(100) =< it(50)*aux(79)
aux(92) =< it(50)*aux(96)
s(318) =< it(50)*aux(52)
aux(86) =< it(50)*aux(90)
s(321) =< it(50)*aux(79)
s(278) =< it(50)*aux(52)
s(276) =< it(50)*aux(50)
s(296) =< it(50)*aux(61)
s(311) =< it(50)*aux(52)
aux(43) =< aux(40)+aux(118)+aux(129)
s(329) =< aux(113)+aux(112)+aux(148)
aux(47) =< aux(100)+aux(40)+aux(101)
aux(41) =< aux(100)+aux(40)+aux(101)
aux(42) =< aux(92)+aux(91)+aux(93)
s(318) =< aux(92)+aux(91)+aux(93)
s(328) =< aux(92)+aux(91)+aux(93)
it(53) =< aux(86)+aux(85)+aux(147)
s(321) =< aux(86)+aux(85)+aux(147)
aux(43) =< it(53)*aux(59)
s(329) =< it(53)*aux(79)
s(326) =< it(53)*aux(50)
aux(65) =< it(53)*aux(59)
s(325) =< it(53)*aux(79)
s(324) =< it(53)*aux(59)
s(188) =< aux(147)+aux(40)+aux(41)+aux(47)+aux(47)
s(185) =< aux(148)+aux(40)+aux(41)+aux(42)+aux(43)
s(314) =< aux(43)+aux(65)+aux(40)+aux(40)+aux(147)
aux(55) =< s(185)+2
aux(54) =< s(185)+1
aux(53) =< s(185)
aux(56) =< s(188)
s(307) =< it(50)*aux(55)
s(293) =< it(50)*aux(54)
s(288) =< it(50)*aux(53)
s(314) =< it(50)*aux(56)
s(295) =< it(50)*aux(56)
s(277) =< it(50)*aux(55)
s(323) =< s(326)
s(300) =< aux(100)
s(320) =< s(321)
s(298) =< s(314)
s(280) =< s(293)
s(301) =< s(311)
s(283) =< s(288)
s(236) =< aux(56)-1
s(308) =< s(298)*aux(53)
s(309) =< s(298)*aux(56)
s(303) =< s(298)*s(236)
s(304) =< s(309)
s(305) =< s(308)
s(306) =< s(307)
s(279) =< s(295)
s(282) =< s(292)
s(196) =< s(188)-1
s(289) =< s(279)*s(185)
s(290) =< s(279)*s(188)
s(284) =< s(279)*s(196)
s(285) =< s(290)
s(286) =< s(289)

with precondition: [V=0,V11=0,Out=0,V1>=2,V4>=1]

* Chain [58,[50,51,52,53,54],60]: 43*it(50)+18*it(53)+1*s(275)+3*s(276)+1*s(277)+2*s(278)+24*s(279)+15*s(280)+2*s(282)+13*s(283)+4*s(284)+12*s(285)+8*s(286)+2*s(296)+26*s(298)+11*s(300)+8*s(301)+4*s(303)+12*s(304)+8*s(305)+4*s(306)+1*s(318)+3*s(320)+4*s(323)+1*s(324)+1*s(325)+1*s(328)+1*s(329)+1*s(335)+1*s(336)+1*s(337)+12
Such that:s(335) =< 1
aux(95) =< 2*V1+V4
aux(93) =< 2*V1+2*V4
s(336) =< V4
aux(72) =< V4-Out
aux(129) =< 2*V4
aux(101) =< 2*V4+1
aux(150) =< V1
aux(151) =< V1+V4
aux(152) =< V1+2*V4
aux(153) =< V4+1
s(337) =< aux(153)
it(50) =< aux(150)
it(53) =< aux(150)
aux(59) =< aux(153)-1
aux(122) =< aux(153)-2
aux(117) =< aux(151)
aux(116) =< aux(151)-1
aux(79) =< aux(153)
aux(50) =< aux(150)+1
aux(96) =< aux(95)+1
aux(52) =< aux(153)+1
aux(90) =< aux(151)+1
aux(61) =< aux(150)
aux(91) =< it(50)*aux(95)
aux(85) =< it(50)*aux(151)
s(292) =< it(50)*aux(153)
s(275) =< it(50)*aux(150)
aux(40) =< it(50)*aux(59)
aux(118) =< it(50)*aux(122)
aux(113) =< it(50)*aux(117)
aux(112) =< it(50)*aux(116)
aux(41) =< it(50)*aux(59)
aux(100) =< it(50)*aux(79)
aux(92) =< it(50)*aux(96)
s(318) =< it(50)*aux(52)
aux(86) =< it(50)*aux(90)
s(321) =< it(50)*aux(79)
s(278) =< it(50)*aux(52)
s(276) =< it(50)*aux(50)
s(296) =< it(50)*aux(61)
s(311) =< it(50)*aux(52)
aux(43) =< aux(40)+aux(118)+aux(129)
s(329) =< aux(113)+aux(112)+aux(152)
aux(47) =< aux(100)+aux(40)+aux(101)
aux(41) =< aux(100)+aux(40)+aux(101)
aux(42) =< aux(92)+aux(91)+aux(93)
s(318) =< aux(92)+aux(91)+aux(93)
s(328) =< aux(92)+aux(91)+aux(93)
it(53) =< aux(86)+aux(85)+aux(151)
s(321) =< aux(86)+aux(85)+aux(151)
aux(43) =< it(53)*aux(59)
s(329) =< it(53)*aux(79)
s(326) =< it(53)*aux(50)
aux(65) =< it(53)*aux(59)
s(325) =< it(53)*aux(79)
s(324) =< it(53)*aux(59)
s(188) =< aux(151)+aux(40)+aux(41)+aux(47)+aux(47)
s(185) =< aux(152)+aux(40)+aux(41)+aux(42)+aux(43)
s(314) =< aux(43)+aux(65)+aux(40)+aux(40)+aux(151)
aux(55) =< s(185)+2
aux(54) =< s(185)+1
aux(53) =< s(185)
aux(56) =< s(188)
s(314) =< aux(43)+aux(65)+aux(40)+aux(40)+aux(72)
s(307) =< it(50)*aux(55)
s(293) =< it(50)*aux(54)
s(288) =< it(50)*aux(53)
s(314) =< it(50)*aux(56)
s(295) =< it(50)*aux(56)
s(277) =< it(50)*aux(55)
s(323) =< s(326)
s(300) =< aux(100)
s(320) =< s(321)
s(298) =< s(314)
s(280) =< s(293)
s(301) =< s(311)
s(283) =< s(288)
s(236) =< aux(56)-1
s(308) =< s(298)*aux(53)
s(309) =< s(298)*aux(56)
s(303) =< s(298)*s(236)
s(304) =< s(309)
s(305) =< s(308)
s(306) =< s(307)
s(279) =< s(295)
s(282) =< s(292)
s(196) =< s(188)-1
s(289) =< s(279)*s(185)
s(290) =< s(279)*s(188)
s(284) =< s(279)*s(196)
s(285) =< s(290)
s(286) =< s(289)

with precondition: [V=0,V11=0,V1>=2,V4>=1,Out>=0]

* Chain [58,63]: 2*s(156)+2*s(157)+1*s(336)+1*s(337)+11
Such that:aux(36) =< V1
s(336) =< V4
s(337) =< V4+1
aux(154) =< 1
s(157) =< aux(154)
s(156) =< aux(36)

with precondition: [V=0,V11=0,Out=0,V1>=1,V4>=1]

* Chain [58,60]: 2*s(331)+1*s(336)+1*s(337)+12
Such that:s(336) =< V4
s(337) =< V4+1
aux(155) =< 1
s(331) =< aux(155)

with precondition: [V=0,V1=1,V11=0,Out>=1,V4>=Out]

* Chain [57,[50,51,52,53,54],63]: 45*it(50)+18*it(53)+1*s(275)+3*s(276)+1*s(277)+2*s(278)+24*s(279)+15*s(280)+2*s(282)+13*s(283)+4*s(284)+12*s(285)+8*s(286)+2*s(296)+26*s(298)+11*s(300)+8*s(301)+4*s(303)+12*s(304)+8*s(305)+4*s(306)+1*s(318)+3*s(320)+4*s(323)+1*s(324)+1*s(325)+1*s(328)+1*s(329)+1*s(338)+1*s(340)+4*s(342)+3*s(343)+16
Such that:s(338) =< 1
aux(39) =< 2*V1+2*V4
aux(129) =< V4
s(340) =< V4+2
aux(156) =< V1
aux(157) =< V1+V4
aux(158) =< 2*V1+V4
aux(159) =< V4+1
s(342) =< aux(158)
it(50) =< aux(156)
it(53) =< aux(156)
aux(59) =< aux(159)-1
aux(122) =< aux(159)-2
aux(117) =< aux(157)
aux(116) =< aux(157)-1
aux(79) =< aux(159)
aux(50) =< aux(156)+1
aux(96) =< aux(158)+1
aux(52) =< aux(159)+1
aux(90) =< aux(157)+1
aux(61) =< aux(156)
aux(91) =< it(50)*aux(158)
aux(85) =< it(50)*aux(157)
s(292) =< it(50)*aux(159)
s(275) =< it(50)*aux(156)
aux(40) =< it(50)*aux(59)
aux(118) =< it(50)*aux(122)
aux(113) =< it(50)*aux(117)
aux(112) =< it(50)*aux(116)
aux(41) =< it(50)*aux(59)
aux(100) =< it(50)*aux(79)
aux(92) =< it(50)*aux(96)
s(318) =< it(50)*aux(52)
aux(86) =< it(50)*aux(90)
s(321) =< it(50)*aux(79)
s(278) =< it(50)*aux(52)
s(276) =< it(50)*aux(50)
s(296) =< it(50)*aux(61)
s(311) =< it(50)*aux(52)
aux(43) =< aux(40)+aux(118)+aux(129)
s(329) =< aux(113)+aux(112)+aux(157)
aux(47) =< aux(100)+aux(40)+aux(159)
aux(41) =< aux(100)+aux(40)+aux(159)
aux(42) =< aux(92)+aux(91)+aux(158)
s(318) =< aux(92)+aux(91)+aux(158)
s(328) =< aux(92)+aux(91)+aux(158)
it(53) =< aux(86)+aux(85)+aux(157)
s(321) =< aux(86)+aux(85)+aux(157)
aux(43) =< it(53)*aux(59)
s(329) =< it(53)*aux(79)
s(326) =< it(53)*aux(50)
aux(65) =< it(53)*aux(59)
s(325) =< it(53)*aux(79)
s(324) =< it(53)*aux(59)
s(188) =< aux(158)+aux(40)+aux(41)+aux(47)+aux(47)
s(185) =< aux(39)+aux(40)+aux(41)+aux(42)+aux(43)
s(314) =< aux(43)+aux(65)+aux(40)+aux(40)+aux(158)
aux(55) =< s(185)+2
aux(54) =< s(185)+1
aux(53) =< s(185)
aux(56) =< s(188)
s(307) =< it(50)*aux(55)
s(293) =< it(50)*aux(54)
s(288) =< it(50)*aux(53)
s(314) =< it(50)*aux(56)
s(295) =< it(50)*aux(56)
s(277) =< it(50)*aux(55)
s(323) =< s(326)
s(300) =< aux(100)
s(320) =< s(321)
s(298) =< s(314)
s(280) =< s(293)
s(301) =< s(311)
s(283) =< s(288)
s(236) =< aux(56)-1
s(308) =< s(298)*aux(53)
s(309) =< s(298)*aux(56)
s(303) =< s(298)*s(236)
s(304) =< s(309)
s(305) =< s(308)
s(306) =< s(307)
s(279) =< s(295)
s(282) =< s(292)
s(196) =< s(188)-1
s(289) =< s(279)*s(185)
s(290) =< s(279)*s(188)
s(284) =< s(279)*s(196)
s(285) =< s(290)
s(286) =< s(289)
s(343) =< aux(159)

with precondition: [V=0,V11=1,Out=0,V1>=2,V4>=0]

* Chain [57,[50,51,52,53,54],60]: 43*it(50)+18*it(53)+1*s(275)+3*s(276)+1*s(277)+2*s(278)+24*s(279)+15*s(280)+2*s(282)+13*s(283)+4*s(284)+12*s(285)+8*s(286)+2*s(296)+26*s(298)+11*s(300)+8*s(301)+4*s(303)+12*s(304)+8*s(305)+4*s(306)+1*s(318)+3*s(320)+4*s(323)+1*s(324)+1*s(325)+1*s(328)+1*s(329)+1*s(338)+1*s(340)+4*s(342)+3*s(343)+17
Such that:s(338) =< 1
aux(39) =< 2*V1+2*V4
aux(129) =< V4
s(340) =< V4+2
aux(72) =< V4-Out+1
aux(160) =< V1
aux(161) =< V1+V4
aux(162) =< 2*V1+V4
aux(163) =< V4+1
s(342) =< aux(162)
it(50) =< aux(160)
it(53) =< aux(160)
aux(59) =< aux(163)-1
aux(122) =< aux(163)-2
aux(117) =< aux(161)
aux(116) =< aux(161)-1
aux(79) =< aux(163)
aux(50) =< aux(160)+1
aux(96) =< aux(162)+1
aux(52) =< aux(163)+1
aux(90) =< aux(161)+1
aux(61) =< aux(160)
aux(91) =< it(50)*aux(162)
aux(85) =< it(50)*aux(161)
s(292) =< it(50)*aux(163)
s(275) =< it(50)*aux(160)
aux(40) =< it(50)*aux(59)
aux(118) =< it(50)*aux(122)
aux(113) =< it(50)*aux(117)
aux(112) =< it(50)*aux(116)
aux(41) =< it(50)*aux(59)
aux(100) =< it(50)*aux(79)
aux(92) =< it(50)*aux(96)
s(318) =< it(50)*aux(52)
aux(86) =< it(50)*aux(90)
s(321) =< it(50)*aux(79)
s(278) =< it(50)*aux(52)
s(276) =< it(50)*aux(50)
s(296) =< it(50)*aux(61)
s(311) =< it(50)*aux(52)
aux(43) =< aux(40)+aux(118)+aux(129)
s(329) =< aux(113)+aux(112)+aux(161)
aux(47) =< aux(100)+aux(40)+aux(163)
aux(41) =< aux(100)+aux(40)+aux(163)
aux(42) =< aux(92)+aux(91)+aux(162)
s(318) =< aux(92)+aux(91)+aux(162)
s(328) =< aux(92)+aux(91)+aux(162)
it(53) =< aux(86)+aux(85)+aux(161)
s(321) =< aux(86)+aux(85)+aux(161)
aux(43) =< it(53)*aux(59)
s(329) =< it(53)*aux(79)
s(326) =< it(53)*aux(50)
aux(65) =< it(53)*aux(59)
s(325) =< it(53)*aux(79)
s(324) =< it(53)*aux(59)
s(188) =< aux(162)+aux(40)+aux(41)+aux(47)+aux(47)
s(185) =< aux(39)+aux(40)+aux(41)+aux(42)+aux(43)
s(314) =< aux(43)+aux(65)+aux(40)+aux(40)+aux(162)
aux(55) =< s(185)+2
aux(54) =< s(185)+1
aux(53) =< s(185)
aux(56) =< s(188)
s(314) =< aux(43)+aux(65)+aux(40)+aux(40)+aux(72)
s(307) =< it(50)*aux(55)
s(293) =< it(50)*aux(54)
s(288) =< it(50)*aux(53)
s(314) =< it(50)*aux(56)
s(295) =< it(50)*aux(56)
s(277) =< it(50)*aux(55)
s(323) =< s(326)
s(300) =< aux(100)
s(320) =< s(321)
s(298) =< s(314)
s(280) =< s(293)
s(301) =< s(311)
s(283) =< s(288)
s(236) =< aux(56)-1
s(308) =< s(298)*aux(53)
s(309) =< s(298)*aux(56)
s(303) =< s(298)*s(236)
s(304) =< s(309)
s(305) =< s(308)
s(306) =< s(307)
s(279) =< s(295)
s(282) =< s(292)
s(196) =< s(188)-1
s(289) =< s(279)*s(185)
s(290) =< s(279)*s(188)
s(284) =< s(279)*s(196)
s(285) =< s(290)
s(286) =< s(289)
s(343) =< aux(163)

with precondition: [V=0,V11=1,V1>=2,V4>=0,Out>=0]

* Chain [57,63]: 2*s(156)+2*s(157)+2*s(340)+6*s(343)+16
Such that:aux(36) =< V1
aux(164) =< 1
aux(165) =< V4+1
aux(166) =< V4+2
s(157) =< aux(164)
s(340) =< aux(166)
s(156) =< aux(36)
s(343) =< aux(165)

with precondition: [V=0,V11=1,Out=0,V1>=1,V4>=0]

* Chain [57,60]: 2*s(331)+1*s(340)+1*s(342)+3*s(343)+3*s(344)+17
Such that:s(339) =< V4+1
s(340) =< V4+2
s(341) =< Out
s(342) =< Out+1
aux(167) =< 1
s(331) =< aux(167)
s(343) =< s(339)
s(344) =< s(341)

with precondition: [V=0,V1=1,V11=1,Out>=1,V4+1>=Out]

* Chain [56,[50,51,52,53,54],63]: 45*it(50)+18*it(53)+1*s(275)+3*s(276)+1*s(277)+2*s(278)+24*s(279)+15*s(280)+2*s(282)+13*s(283)+4*s(284)+12*s(285)+8*s(286)+2*s(296)+26*s(298)+11*s(300)+8*s(301)+4*s(303)+12*s(304)+8*s(305)+4*s(306)+1*s(318)+3*s(320)+4*s(323)+1*s(324)+1*s(325)+1*s(328)+1*s(329)+1*s(345)+26*s(352)+9*s(353)+8*s(354)+8*s(355)+3*s(356)+4*s(360)+12*s(361)+8*s(362)+4*s(363)+16
Such that:s(345) =< 1
s(351) =< V4+2
s(348) =< V4+V11
s(349) =< V4+V11+1
s(346) =< V4+V11+2
s(347) =< V11
aux(168) =< V1
aux(169) =< V1+V4
aux(170) =< 2*V1+V4
aux(171) =< V4
aux(172) =< V4+1
it(50) =< aux(168)
it(53) =< aux(168)
aux(59) =< aux(172)-1
aux(122) =< aux(172)-2
aux(117) =< aux(169)
aux(116) =< aux(169)-1
aux(79) =< aux(172)
aux(50) =< aux(168)+1
aux(96) =< aux(170)+1
aux(52) =< aux(172)+1
aux(90) =< aux(169)+1
aux(61) =< aux(168)
aux(91) =< it(50)*aux(170)
aux(85) =< it(50)*aux(169)
s(292) =< it(50)*aux(172)
s(275) =< it(50)*aux(168)
aux(40) =< it(50)*aux(59)
aux(118) =< it(50)*aux(122)
aux(113) =< it(50)*aux(117)
aux(112) =< it(50)*aux(116)
aux(41) =< it(50)*aux(59)
aux(100) =< it(50)*aux(79)
aux(92) =< it(50)*aux(96)
s(318) =< it(50)*aux(52)
aux(86) =< it(50)*aux(90)
s(321) =< it(50)*aux(79)
s(278) =< it(50)*aux(52)
s(276) =< it(50)*aux(50)
s(296) =< it(50)*aux(61)
s(311) =< it(50)*aux(52)
aux(43) =< aux(40)+aux(118)+aux(171)
s(329) =< aux(113)+aux(112)+aux(169)
aux(47) =< aux(100)+aux(40)+aux(172)
aux(41) =< aux(100)+aux(40)+aux(172)
aux(42) =< aux(92)+aux(91)+aux(170)
s(318) =< aux(92)+aux(91)+aux(170)
s(328) =< aux(92)+aux(91)+aux(170)
it(53) =< aux(86)+aux(85)+aux(169)
s(321) =< aux(86)+aux(85)+aux(169)
aux(43) =< it(53)*aux(59)
s(329) =< it(53)*aux(79)
s(326) =< it(53)*aux(50)
aux(65) =< it(53)*aux(59)
s(325) =< it(53)*aux(79)
s(324) =< it(53)*aux(59)
s(188) =< aux(40)+aux(41)+aux(47)+aux(47)
s(185) =< aux(171)+aux(40)+aux(41)+aux(42)+aux(43)
s(314) =< aux(43)+aux(65)+aux(40)+aux(40)
aux(55) =< s(185)+2
aux(54) =< s(185)+1
aux(53) =< s(185)
aux(56) =< s(188)
s(307) =< it(50)*aux(55)
s(293) =< it(50)*aux(54)
s(288) =< it(50)*aux(53)
s(314) =< it(50)*aux(56)
s(295) =< it(50)*aux(56)
s(277) =< it(50)*aux(55)
s(323) =< s(326)
s(300) =< aux(100)
s(320) =< s(321)
s(298) =< s(314)
s(280) =< s(293)
s(301) =< s(311)
s(283) =< s(288)
s(236) =< aux(56)-1
s(308) =< s(298)*aux(53)
s(309) =< s(298)*aux(56)
s(303) =< s(298)*s(236)
s(304) =< s(309)
s(305) =< s(308)
s(306) =< s(307)
s(279) =< s(295)
s(282) =< s(292)
s(196) =< s(188)-1
s(289) =< s(279)*s(185)
s(290) =< s(279)*s(188)
s(284) =< s(279)*s(196)
s(285) =< s(290)
s(286) =< s(289)
s(352) =< s(347)
s(353) =< s(349)
s(354) =< aux(172)
s(355) =< s(351)
s(356) =< s(348)
s(357) =< s(347)-1
s(358) =< s(352)*s(348)
s(359) =< s(352)*s(347)
s(360) =< s(352)*s(357)
s(361) =< s(359)
s(362) =< s(358)
s(363) =< s(346)

with precondition: [V=0,Out=0,V1>=2,V4>=0,V11>=0]

* Chain [56,[50,51,52,53,54],60]: 43*it(50)+18*it(53)+1*s(275)+3*s(276)+1*s(277)+2*s(278)+24*s(279)+15*s(280)+2*s(282)+13*s(283)+4*s(284)+12*s(285)+8*s(286)+2*s(296)+26*s(298)+11*s(300)+8*s(301)+4*s(303)+12*s(304)+8*s(305)+4*s(306)+1*s(318)+3*s(320)+4*s(323)+1*s(324)+1*s(325)+1*s(328)+1*s(329)+1*s(345)+26*s(352)+9*s(353)+8*s(354)+8*s(355)+3*s(356)+4*s(360)+12*s(361)+8*s(362)+4*s(363)+17
Such that:s(345) =< 1
s(351) =< V4+2
s(348) =< V4+V11
s(349) =< V4+V11+1
s(346) =< V4+V11+2
s(347) =< V11
aux(72) =< -Out
aux(173) =< V1
aux(174) =< V1+V4
aux(175) =< 2*V1+V4
aux(176) =< V4
aux(177) =< V4+1
it(50) =< aux(173)
it(53) =< aux(173)
aux(59) =< aux(177)-1
aux(122) =< aux(177)-2
aux(117) =< aux(174)
aux(116) =< aux(174)-1
aux(79) =< aux(177)
aux(50) =< aux(173)+1
aux(96) =< aux(175)+1
aux(52) =< aux(177)+1
aux(90) =< aux(174)+1
aux(61) =< aux(173)
aux(91) =< it(50)*aux(175)
aux(85) =< it(50)*aux(174)
s(292) =< it(50)*aux(177)
s(275) =< it(50)*aux(173)
aux(40) =< it(50)*aux(59)
aux(118) =< it(50)*aux(122)
aux(113) =< it(50)*aux(117)
aux(112) =< it(50)*aux(116)
aux(41) =< it(50)*aux(59)
aux(100) =< it(50)*aux(79)
aux(92) =< it(50)*aux(96)
s(318) =< it(50)*aux(52)
aux(86) =< it(50)*aux(90)
s(321) =< it(50)*aux(79)
s(278) =< it(50)*aux(52)
s(276) =< it(50)*aux(50)
s(296) =< it(50)*aux(61)
s(311) =< it(50)*aux(52)
aux(43) =< aux(40)+aux(118)+aux(176)
s(329) =< aux(113)+aux(112)+aux(174)
aux(47) =< aux(100)+aux(40)+aux(177)
aux(41) =< aux(100)+aux(40)+aux(177)
aux(42) =< aux(92)+aux(91)+aux(175)
s(318) =< aux(92)+aux(91)+aux(175)
s(328) =< aux(92)+aux(91)+aux(175)
it(53) =< aux(86)+aux(85)+aux(174)
s(321) =< aux(86)+aux(85)+aux(174)
aux(43) =< it(53)*aux(59)
s(329) =< it(53)*aux(79)
s(326) =< it(53)*aux(50)
aux(65) =< it(53)*aux(59)
s(325) =< it(53)*aux(79)
s(324) =< it(53)*aux(59)
s(188) =< aux(40)+aux(41)+aux(47)+aux(47)
s(185) =< aux(176)+aux(40)+aux(41)+aux(42)+aux(43)
s(314) =< aux(43)+aux(65)+aux(40)+aux(40)
aux(55) =< s(185)+2
aux(54) =< s(185)+1
aux(53) =< s(185)
aux(56) =< s(188)
s(314) =< aux(43)+aux(65)+aux(40)+aux(40)+aux(72)
s(307) =< it(50)*aux(55)
s(293) =< it(50)*aux(54)
s(288) =< it(50)*aux(53)
s(314) =< it(50)*aux(56)
s(295) =< it(50)*aux(56)
s(277) =< it(50)*aux(55)
s(323) =< s(326)
s(300) =< aux(100)
s(320) =< s(321)
s(298) =< s(314)
s(280) =< s(293)
s(301) =< s(311)
s(283) =< s(288)
s(236) =< aux(56)-1
s(308) =< s(298)*aux(53)
s(309) =< s(298)*aux(56)
s(303) =< s(298)*s(236)
s(304) =< s(309)
s(305) =< s(308)
s(306) =< s(307)
s(279) =< s(295)
s(282) =< s(292)
s(196) =< s(188)-1
s(289) =< s(279)*s(185)
s(290) =< s(279)*s(188)
s(284) =< s(279)*s(196)
s(285) =< s(290)
s(286) =< s(289)
s(352) =< s(347)
s(353) =< s(349)
s(354) =< aux(177)
s(355) =< s(351)
s(356) =< s(348)
s(357) =< s(347)-1
s(358) =< s(352)*s(348)
s(359) =< s(352)*s(347)
s(360) =< s(352)*s(357)
s(361) =< s(359)
s(362) =< s(358)
s(363) =< s(346)

with precondition: [V=0,V1>=2,V4>=0,V11>=0,Out>=0]

* Chain [56,63]: 2*s(156)+2*s(157)+26*s(352)+9*s(353)+8*s(354)+8*s(355)+3*s(356)+4*s(360)+12*s(361)+8*s(362)+4*s(363)+16
Such that:aux(36) =< V1
s(350) =< V4+1
s(351) =< V4+2
s(348) =< V4+V11
s(349) =< V4+V11+1
s(346) =< V4+V11+2
s(347) =< V11
aux(178) =< 1
s(157) =< aux(178)
s(156) =< aux(36)
s(352) =< s(347)
s(353) =< s(349)
s(354) =< s(350)
s(355) =< s(351)
s(356) =< s(348)
s(357) =< s(347)-1
s(358) =< s(352)*s(348)
s(359) =< s(352)*s(347)
s(360) =< s(352)*s(357)
s(361) =< s(359)
s(362) =< s(358)
s(363) =< s(346)

with precondition: [V=0,Out=0,V1>=1,V4>=0,V11>=0]

* Chain [56,60]: 2*s(331)+26*s(352)+9*s(353)+8*s(354)+8*s(355)+3*s(356)+4*s(360)+12*s(361)+8*s(362)+4*s(363)+17
Such that:s(350) =< V4+1
s(351) =< V4+2
s(348) =< V4+V11
s(349) =< V4+V11+1
s(346) =< V4+V11+2
s(347) =< V11
aux(179) =< 1
s(331) =< aux(179)
s(352) =< s(347)
s(353) =< s(349)
s(354) =< s(350)
s(355) =< s(351)
s(356) =< s(348)
s(357) =< s(347)-1
s(358) =< s(352)*s(348)
s(359) =< s(352)*s(347)
s(360) =< s(352)*s(357)
s(361) =< s(359)
s(362) =< s(358)
s(363) =< s(346)

with precondition: [V=0,V1=1,Out=0,V4>=0,V11>=0]

* Chain [55,[50,51,52,53,54],63]: 45*it(50)+18*it(53)+1*s(275)+3*s(276)+1*s(277)+2*s(278)+24*s(279)+15*s(280)+2*s(282)+13*s(283)+4*s(284)+12*s(285)+8*s(286)+2*s(296)+26*s(298)+11*s(300)+8*s(301)+4*s(303)+12*s(304)+8*s(305)+4*s(306)+1*s(318)+3*s(320)+4*s(323)+1*s(324)+1*s(325)+1*s(328)+1*s(329)+1*s(364)+1*s(365)+1*s(367)+24*s(373)+6*s(374)+2*s(376)+10*s(377)+4*s(381)+12*s(382)+8*s(383)+16
Such that:s(364) =< 1
s(367) =< V4+2
s(365) =< V4+V11+2
aux(39) =< 2*V4+V11
s(368) =< V11
aux(180) =< V1
aux(181) =< V1+V4
aux(182) =< 2*V1+V4
aux(183) =< V4
aux(184) =< V4+1
aux(185) =< V4+V11
aux(186) =< V4+V11+1
it(50) =< aux(180)
it(53) =< aux(180)
aux(59) =< aux(184)-1
aux(122) =< aux(184)-2
aux(117) =< aux(181)
aux(116) =< aux(181)-1
aux(79) =< aux(184)
aux(50) =< aux(180)+1
aux(96) =< aux(182)+1
aux(52) =< aux(184)+1
aux(90) =< aux(181)+1
aux(61) =< aux(180)
aux(91) =< it(50)*aux(182)
aux(85) =< it(50)*aux(181)
s(292) =< it(50)*aux(184)
s(275) =< it(50)*aux(180)
aux(40) =< it(50)*aux(59)
aux(118) =< it(50)*aux(122)
aux(113) =< it(50)*aux(117)
aux(112) =< it(50)*aux(116)
aux(41) =< it(50)*aux(59)
aux(100) =< it(50)*aux(79)
aux(92) =< it(50)*aux(96)
s(318) =< it(50)*aux(52)
aux(86) =< it(50)*aux(90)
s(321) =< it(50)*aux(79)
s(278) =< it(50)*aux(52)
s(276) =< it(50)*aux(50)
s(296) =< it(50)*aux(61)
s(311) =< it(50)*aux(52)
aux(43) =< aux(40)+aux(118)+aux(183)
s(329) =< aux(113)+aux(112)+aux(181)
aux(47) =< aux(100)+aux(40)+aux(183)
aux(41) =< aux(100)+aux(40)+aux(183)
aux(42) =< aux(92)+aux(91)+aux(182)
s(318) =< aux(92)+aux(91)+aux(182)
s(328) =< aux(92)+aux(91)+aux(182)
it(53) =< aux(86)+aux(85)+aux(181)
s(321) =< aux(86)+aux(85)+aux(181)
aux(43) =< it(53)*aux(59)
s(329) =< it(53)*aux(79)
s(326) =< it(53)*aux(50)
aux(65) =< it(53)*aux(59)
s(325) =< it(53)*aux(79)
s(324) =< it(53)*aux(59)
s(188) =< aux(185)+aux(40)+aux(41)+aux(47)+aux(47)
s(185) =< aux(39)+aux(40)+aux(41)+aux(42)+aux(43)
s(314) =< aux(43)+aux(65)+aux(40)+aux(40)+aux(185)
aux(55) =< s(185)+2
aux(54) =< s(185)+1
aux(53) =< s(185)
aux(56) =< s(188)
s(307) =< it(50)*aux(55)
s(293) =< it(50)*aux(54)
s(288) =< it(50)*aux(53)
s(314) =< it(50)*aux(56)
s(295) =< it(50)*aux(56)
s(277) =< it(50)*aux(55)
s(323) =< s(326)
s(300) =< aux(100)
s(320) =< s(321)
s(298) =< s(314)
s(280) =< s(293)
s(301) =< s(311)
s(283) =< s(288)
s(236) =< aux(56)-1
s(308) =< s(298)*aux(53)
s(309) =< s(298)*aux(56)
s(303) =< s(298)*s(236)
s(304) =< s(309)
s(305) =< s(308)
s(306) =< s(307)
s(279) =< s(295)
s(282) =< s(292)
s(196) =< s(188)-1
s(289) =< s(279)*s(185)
s(290) =< s(279)*s(188)
s(284) =< s(279)*s(196)
s(285) =< s(290)
s(286) =< s(289)
s(373) =< s(368)
s(374) =< aux(186)
s(376) =< aux(184)
s(377) =< aux(185)
s(378) =< s(368)-1
s(379) =< s(373)*aux(185)
s(380) =< s(373)*s(368)
s(381) =< s(373)*s(378)
s(382) =< s(380)
s(383) =< s(379)

with precondition: [V=0,Out=0,V1>=2,V4>=0,V11>=2]

* Chain [55,[50,51,52,53,54],60]: 43*it(50)+18*it(53)+1*s(275)+3*s(276)+1*s(277)+2*s(278)+24*s(279)+15*s(280)+2*s(282)+13*s(283)+4*s(284)+12*s(285)+8*s(286)+2*s(296)+26*s(298)+11*s(300)+8*s(301)+4*s(303)+12*s(304)+8*s(305)+4*s(306)+1*s(318)+3*s(320)+4*s(323)+1*s(324)+1*s(325)+1*s(328)+1*s(329)+1*s(364)+1*s(365)+1*s(367)+24*s(373)+6*s(374)+2*s(376)+10*s(377)+4*s(381)+12*s(382)+8*s(383)+17
Such that:s(364) =< 1
s(367) =< V4+2
s(365) =< V4+V11+2
aux(72) =< V4+V11-Out
aux(39) =< 2*V4+V11
s(368) =< V11
aux(187) =< V1
aux(188) =< V1+V4
aux(189) =< 2*V1+V4
aux(190) =< V4
aux(191) =< V4+1
aux(192) =< V4+V11
aux(193) =< V4+V11+1
it(50) =< aux(187)
it(53) =< aux(187)
aux(59) =< aux(191)-1
aux(122) =< aux(191)-2
aux(117) =< aux(188)
aux(116) =< aux(188)-1
aux(79) =< aux(191)
aux(50) =< aux(187)+1
aux(96) =< aux(189)+1
aux(52) =< aux(191)+1
aux(90) =< aux(188)+1
aux(61) =< aux(187)
aux(91) =< it(50)*aux(189)
aux(85) =< it(50)*aux(188)
s(292) =< it(50)*aux(191)
s(275) =< it(50)*aux(187)
aux(40) =< it(50)*aux(59)
aux(118) =< it(50)*aux(122)
aux(113) =< it(50)*aux(117)
aux(112) =< it(50)*aux(116)
aux(41) =< it(50)*aux(59)
aux(100) =< it(50)*aux(79)
aux(92) =< it(50)*aux(96)
s(318) =< it(50)*aux(52)
aux(86) =< it(50)*aux(90)
s(321) =< it(50)*aux(79)
s(278) =< it(50)*aux(52)
s(276) =< it(50)*aux(50)
s(296) =< it(50)*aux(61)
s(311) =< it(50)*aux(52)
aux(43) =< aux(40)+aux(118)+aux(190)
s(329) =< aux(113)+aux(112)+aux(188)
aux(47) =< aux(100)+aux(40)+aux(190)
aux(41) =< aux(100)+aux(40)+aux(190)
aux(42) =< aux(92)+aux(91)+aux(189)
s(318) =< aux(92)+aux(91)+aux(189)
s(328) =< aux(92)+aux(91)+aux(189)
it(53) =< aux(86)+aux(85)+aux(188)
s(321) =< aux(86)+aux(85)+aux(188)
aux(43) =< it(53)*aux(59)
s(329) =< it(53)*aux(79)
s(326) =< it(53)*aux(50)
aux(65) =< it(53)*aux(59)
s(325) =< it(53)*aux(79)
s(324) =< it(53)*aux(59)
s(188) =< aux(192)+aux(40)+aux(41)+aux(47)+aux(47)
s(185) =< aux(39)+aux(40)+aux(41)+aux(42)+aux(43)
s(314) =< aux(43)+aux(65)+aux(40)+aux(40)+aux(192)
aux(55) =< s(185)+2
aux(54) =< s(185)+1
aux(53) =< s(185)
aux(56) =< s(188)
s(314) =< aux(43)+aux(65)+aux(40)+aux(40)+aux(72)
s(307) =< it(50)*aux(55)
s(293) =< it(50)*aux(54)
s(288) =< it(50)*aux(53)
s(314) =< it(50)*aux(56)
s(295) =< it(50)*aux(56)
s(277) =< it(50)*aux(55)
s(323) =< s(326)
s(300) =< aux(100)
s(320) =< s(321)
s(298) =< s(314)
s(280) =< s(293)
s(301) =< s(311)
s(283) =< s(288)
s(236) =< aux(56)-1
s(308) =< s(298)*aux(53)
s(309) =< s(298)*aux(56)
s(303) =< s(298)*s(236)
s(304) =< s(309)
s(305) =< s(308)
s(306) =< s(307)
s(279) =< s(295)
s(282) =< s(292)
s(196) =< s(188)-1
s(289) =< s(279)*s(185)
s(290) =< s(279)*s(188)
s(284) =< s(279)*s(196)
s(285) =< s(290)
s(286) =< s(289)
s(373) =< s(368)
s(374) =< aux(193)
s(376) =< aux(191)
s(377) =< aux(192)
s(378) =< s(368)-1
s(379) =< s(373)*aux(192)
s(380) =< s(373)*s(368)
s(381) =< s(373)*s(378)
s(382) =< s(380)
s(383) =< s(379)

with precondition: [V=0,V1>=2,V4>=0,V11>=2,Out>=0]

* Chain [55,63]: 2*s(156)+2*s(157)+1*s(365)+1*s(367)+24*s(373)+6*s(374)+2*s(376)+10*s(377)+4*s(381)+12*s(382)+8*s(383)+16
Such that:aux(36) =< V1
s(366) =< V4+1
s(367) =< V4+2
s(365) =< V4+V11+2
s(368) =< V11
aux(194) =< 1
aux(195) =< V4+V11
aux(196) =< V4+V11+1
s(157) =< aux(194)
s(156) =< aux(36)
s(373) =< s(368)
s(374) =< aux(196)
s(376) =< s(366)
s(377) =< aux(195)
s(378) =< s(368)-1
s(379) =< s(373)*aux(195)
s(380) =< s(373)*s(368)
s(381) =< s(373)*s(378)
s(382) =< s(380)
s(383) =< s(379)

with precondition: [V=0,Out=0,V1>=1,V4>=0,V11>=2]

* Chain [55,60]: 2*s(331)+1*s(365)+1*s(367)+24*s(373)+3*s(374)+3*s(375)+2*s(376)+7*s(377)+4*s(381)+12*s(382)+8*s(383)+3*s(384)+17
Such that:s(366) =< V4+1
s(367) =< V4+2
s(369) =< V4+V11
s(370) =< V4+V11+1
s(365) =< V4+V11+2
s(368) =< V11
s(371) =< Out
s(372) =< Out+1
aux(197) =< 1
s(331) =< aux(197)
s(373) =< s(368)
s(374) =< s(370)
s(375) =< s(372)
s(376) =< s(366)
s(377) =< s(371)
s(378) =< s(368)-1
s(379) =< s(373)*s(369)
s(380) =< s(373)*s(368)
s(381) =< s(373)*s(378)
s(382) =< s(380)
s(383) =< s(379)
s(384) =< s(369)

with precondition: [V=0,V1=1,V4>=0,V11>=2,Out>=1,V4+V11>=Out]


#### Cost of chains of start(V,V1,V4,V11,V16):
* Chain [68]: 509*s(1361)+110*s(1362)+463*s(1371)+15*s(1372)+63*s(1374)+13*s(1375)+8*s(1379)+24*s(1380)+16*s(1381)+5*s(1382)+48*s(1424)+108*s(1428)+9*s(1442)+4*s(1450)+18*s(1453)+27*s(1454)+18*s(1455)+4*s(1458)+4*s(1461)+6*s(1464)+6*s(1465)+2*s(1477)+24*s(1478)+99*s(1479)+18*s(1480)+52*s(1481)+30*s(1482)+72*s(1483)+26*s(1484)+8*s(1488)+24*s(1489)+16*s(1490)+8*s(1491)+48*s(1492)+18*s(1493)+8*s(1497)+24*s(1498)+16*s(1499)+2*s(1523)+26*s(1524)+30*s(1525)+26*s(1526)+4*s(1530)+12*s(1531)+8*s(1532)+8*s(1533)+48*s(1534)+8*s(1538)+24*s(1539)+8*s(1540)+18*s(1542)+1*s(1558)+1*s(1566)+1*s(1569)+1*s(1572)+1*s(1573)+1*s(1585)+4*s(1586)+3*s(1588)+26*s(1589)+15*s(1590)+13*s(1592)+4*s(1596)+12*s(1597)+8*s(1598)+4*s(1599)+8*s(1607)+2*s(1645)+2*s(1653)+2*s(1656)+2*s(1672)+26*s(1676)+30*s(1677)+26*s(1679)+4*s(1683)+12*s(1684)+8*s(1685)+8*s(1686)+48*s(1687)+8*s(1692)+24*s(1693)+16*s(1694)+36*s(1695)+2*s(1697)+2*s(1700)+2*s(1703)+2*s(1706)+2*s(1707)+2*s(1719)+8*s(1720)+6*s(1721)+52*s(1722)+30*s(1723)+26*s(1724)+8*s(1728)+24*s(1729)+16*s(1730)+8*s(1731)+48*s(1732)+8*s(1736)+24*s(1737)+16*s(1738)+26*s(1860)+4*s(1866)+12*s(1867)+8*s(1868)+24*s(1870)+4*s(1874)+12*s(1875)+8*s(1876)+26*s(1896)+4*s(1902)+12*s(1903)+8*s(1904)+8*s(1957)+66*s(1958)+42*s(1966)+20*s(1996)+144*s(1998)+10*s(2012)+6*s(2020)+20*s(2023)+30*s(2024)+20*s(2025)+6*s(2028)+6*s(2031)+8*s(2034)+8*s(2035)+2*s(2047)+32*s(2048)+110*s(2049)+24*s(2050)+52*s(2051)+30*s(2052)+80*s(2053)+26*s(2054)+8*s(2058)+24*s(2059)+16*s(2060)+8*s(2061)+48*s(2062)+20*s(2063)+8*s(2067)+24*s(2068)+16*s(2069)+200*s(2070)+60*s(2071)+52*s(2073)+32*s(2077)+96*s(2078)+64*s(2079)+2*s(2093)+52*s(2094)+30*s(2095)+26*s(2096)+8*s(2100)+24*s(2101)+16*s(2102)+8*s(2103)+48*s(2104)+8*s(2108)+24*s(2109)+16*s(2110)+84*s(2111)+36*s(2112)+2*s(2120)+2*s(2128)+4*s(2131)+6*s(2132)+4*s(2133)+2*s(2136)+2*s(2139)+2*s(2142)+2*s(2143)+2*s(2155)+8*s(2156)+22*s(2157)+6*s(2158)+52*s(2159)+30*s(2160)+16*s(2161)+26*s(2162)+8*s(2166)+24*s(2167)+16*s(2168)+8*s(2169)+48*s(2170)+4*s(2171)+8*s(2175)+24*s(2176)+16*s(2177)+2*s(2237)+2*s(2245)+2*s(2248)+2*s(2264)+26*s(2268)+30*s(2269)+26*s(2271)+4*s(2275)+12*s(2276)+8*s(2277)+8*s(2278)+48*s(2279)+8*s(2284)+24*s(2285)+16*s(2286)+36*s(2287)+2*s(2289)+2*s(2292)+2*s(2295)+2*s(2298)+2*s(2299)+2*s(2311)+8*s(2312)+6*s(2313)+52*s(2314)+30*s(2315)+26*s(2316)+8*s(2320)+24*s(2321)+16*s(2322)+8*s(2323)+48*s(2324)+8*s(2328)+24*s(2329)+16*s(2330)+26*s(2488)+4*s(2494)+12*s(2495)+8*s(2496)+8*s(2559)+2*s(2610)+26*s(2614)+30*s(2615)+26*s(2617)+4*s(2621)+12*s(2622)+8*s(2623)+8*s(2624)+48*s(2625)+8*s(2630)+24*s(2631)+16*s(2632)+26*s(2698)+4*s(2705)+12*s(2706)+8*s(2707)+1*s(2808)+18
Such that:s(2808) =< V+1
s(1404) =< 2*V+V1+1
aux(255) =< 1
aux(256) =< -2*V+2*V1+V4
aux(257) =< -2*V+2*V1+V4-V11+1
aux(258) =< -V+V1
aux(259) =< -V+V1+V4
aux(260) =< -V+V1+V4-V11
aux(261) =< -V+V1+V4-V11+1
aux(262) =< V
aux(263) =< V+V1
aux(264) =< V+V1+1
aux(265) =< V+V1+2
aux(266) =< V+2*V1
aux(267) =< 2*V
aux(268) =< 2*V+V1
aux(269) =< 2*V+2*V1
aux(270) =< V1
aux(271) =< V1+1
aux(272) =< V1+2
aux(273) =< V1+V4
aux(274) =< V1+2*V4
aux(275) =< 2*V1
aux(276) =< 2*V1+1
aux(277) =< 2*V1+V4
aux(278) =< 2*V1+2*V4
aux(279) =< V4
aux(280) =< V4+1
aux(281) =< V4+2
aux(282) =< V4-V11
aux(283) =< V4-V11+1
aux(284) =< V4+V11
aux(285) =< V4+V11+1
aux(286) =< V4+V11+2
aux(287) =< 2*V4
aux(288) =< 2*V4+1
aux(289) =< 2*V4+V11
aux(290) =< V11
s(1424) =< aux(255)
s(1371) =< aux(262)
s(1382) =< aux(265)
s(1361) =< aux(270)
s(1362) =< aux(271)
s(1374) =< aux(272)
s(1957) =< aux(279)
s(1958) =< aux(280)
s(1966) =< aux(281)
s(1996) =< aux(286)
s(1428) =< aux(262)
s(1429) =< aux(271)-1
s(1430) =< aux(271)-2
s(1431) =< aux(263)
s(1432) =< aux(263)-1
s(1433) =< aux(271)
s(1434) =< aux(262)+1
s(1435) =< aux(268)+1
s(1436) =< aux(271)+1
s(1437) =< aux(263)+1
s(1438) =< aux(262)
s(1439) =< s(1371)*aux(268)
s(1377) =< s(1371)*aux(263)
s(1441) =< s(1371)*aux(271)
s(1442) =< s(1371)*aux(262)
s(1443) =< s(1371)*s(1429)
s(1444) =< s(1371)*s(1430)
s(1445) =< s(1371)*s(1431)
s(1446) =< s(1371)*s(1432)
s(1447) =< s(1371)*s(1429)
s(1448) =< s(1371)*s(1433)
s(1449) =< s(1371)*s(1435)
s(1450) =< s(1371)*s(1436)
s(1451) =< s(1371)*s(1437)
s(1452) =< s(1371)*s(1433)
s(1453) =< s(1371)*s(1436)
s(1454) =< s(1371)*s(1434)
s(1455) =< s(1371)*s(1438)
s(1456) =< s(1371)*s(1436)
s(1457) =< s(1443)+s(1444)+aux(270)
s(1458) =< s(1445)+s(1446)+aux(263)
s(1459) =< s(1448)+s(1443)+aux(270)
s(1447) =< s(1448)+s(1443)+aux(270)
s(1460) =< s(1449)+s(1439)+aux(268)
s(1450) =< s(1449)+s(1439)+aux(268)
s(1461) =< s(1449)+s(1439)+aux(268)
s(1428) =< s(1451)+s(1377)+aux(263)
s(1452) =< s(1451)+s(1377)+aux(263)
s(1457) =< s(1428)*s(1429)
s(1458) =< s(1428)*s(1433)
s(1462) =< s(1428)*s(1434)
s(1463) =< s(1428)*s(1429)
s(1464) =< s(1428)*s(1433)
s(1465) =< s(1428)*s(1429)
s(1466) =< aux(270)+s(1443)+s(1447)+s(1459)+s(1459)
s(1467) =< aux(275)+s(1443)+s(1447)+s(1460)+s(1457)
s(1468) =< s(1457)+s(1463)+s(1443)+s(1443)+aux(270)
s(1469) =< s(1467)+2
s(1470) =< s(1467)+1
s(1471) =< s(1467)
s(1472) =< s(1466)
s(1473) =< s(1371)*s(1469)
s(1474) =< s(1371)*s(1470)
s(1475) =< s(1371)*s(1471)
s(1468) =< s(1371)*s(1472)
s(1476) =< s(1371)*s(1472)
s(1477) =< s(1371)*s(1469)
s(1478) =< s(1462)
s(1479) =< s(1448)
s(1480) =< s(1452)
s(1481) =< s(1468)
s(1482) =< s(1474)
s(1483) =< s(1456)
s(1484) =< s(1475)
s(1485) =< s(1472)-1
s(1486) =< s(1481)*s(1471)
s(1487) =< s(1481)*s(1472)
s(1488) =< s(1481)*s(1485)
s(1489) =< s(1487)
s(1490) =< s(1486)
s(1491) =< s(1473)
s(1492) =< s(1476)
s(1493) =< s(1441)
s(1494) =< s(1466)-1
s(1495) =< s(1492)*s(1467)
s(1496) =< s(1492)*s(1466)
s(1497) =< s(1492)*s(1494)
s(1498) =< s(1496)
s(1499) =< s(1495)
s(1510) =< s(1371)*s(1429)
s(1511) =< s(1448)+s(1443)+aux(271)
s(1510) =< s(1448)+s(1443)+aux(271)
s(1512) =< s(1443)+s(1510)+s(1511)+s(1511)
s(1513) =< aux(270)+s(1443)+s(1510)+s(1460)+s(1457)
s(1514) =< s(1457)+s(1463)+s(1443)+s(1443)
s(1515) =< s(1513)+2
s(1516) =< s(1513)+1
s(1517) =< s(1513)
s(1518) =< s(1512)
s(1519) =< s(1371)*s(1515)
s(1520) =< s(1371)*s(1516)
s(1521) =< s(1371)*s(1517)
s(1514) =< s(1371)*s(1518)
s(1522) =< s(1371)*s(1518)
s(1523) =< s(1371)*s(1515)
s(1524) =< s(1514)
s(1525) =< s(1520)
s(1526) =< s(1521)
s(1527) =< s(1518)-1
s(1528) =< s(1524)*s(1517)
s(1529) =< s(1524)*s(1518)
s(1530) =< s(1524)*s(1527)
s(1531) =< s(1529)
s(1532) =< s(1528)
s(1533) =< s(1519)
s(1534) =< s(1522)
s(1535) =< s(1512)-1
s(1536) =< s(1534)*s(1513)
s(1537) =< s(1534)*s(1512)
s(1538) =< s(1534)*s(1535)
s(1539) =< s(1537)
s(1540) =< s(1536)
s(1542) =< aux(262)
s(1558) =< s(1371)*s(1436)
s(1560) =< s(1371)*s(1433)
s(1565) =< s(1443)+s(1444)+aux(270)
s(1566) =< s(1445)+s(1446)+aux(263)
s(1568) =< s(1449)+s(1439)+s(1404)
s(1558) =< s(1449)+s(1439)+s(1404)
s(1569) =< s(1449)+s(1439)+s(1404)
s(1542) =< s(1451)+s(1377)+aux(264)
s(1560) =< s(1451)+s(1377)+aux(264)
s(1565) =< s(1542)*s(1429)
s(1566) =< s(1542)*s(1433)
s(1570) =< s(1542)*s(1434)
s(1571) =< s(1542)*s(1429)
s(1572) =< s(1542)*s(1433)
s(1573) =< s(1542)*s(1429)
s(1575) =< aux(270)+s(1443)+s(1510)+s(1568)+s(1565)
s(1576) =< s(1565)+s(1571)+s(1443)+s(1443)
s(1577) =< s(1575)+2
s(1578) =< s(1575)+1
s(1579) =< s(1575)
s(1581) =< s(1371)*s(1577)
s(1582) =< s(1371)*s(1578)
s(1583) =< s(1371)*s(1579)
s(1576) =< s(1371)*s(1518)
s(1585) =< s(1371)*s(1577)
s(1586) =< s(1570)
s(1588) =< s(1560)
s(1589) =< s(1576)
s(1590) =< s(1582)
s(1592) =< s(1583)
s(1594) =< s(1589)*s(1579)
s(1595) =< s(1589)*s(1518)
s(1596) =< s(1589)*s(1527)
s(1597) =< s(1595)
s(1598) =< s(1594)
s(1599) =< s(1581)
s(1603) =< s(1534)*s(1575)
s(1607) =< s(1603)
s(1642) =< s(1371)*s(1429)
s(1645) =< s(1371)*s(1436)
s(1652) =< s(1443)+s(1444)+aux(275)
s(1653) =< s(1445)+s(1446)+aux(266)
s(1654) =< s(1448)+s(1443)+aux(276)
s(1642) =< s(1448)+s(1443)+aux(276)
s(1655) =< s(1449)+s(1439)+aux(269)
s(1645) =< s(1449)+s(1439)+aux(269)
s(1656) =< s(1449)+s(1439)+aux(269)
s(1652) =< s(1428)*s(1429)
s(1653) =< s(1428)*s(1433)
s(1661) =< aux(263)+s(1443)+s(1642)+s(1654)+s(1654)
s(1662) =< aux(266)+s(1443)+s(1642)+s(1655)+s(1652)
s(1663) =< s(1652)+s(1463)+s(1443)+s(1443)+aux(263)
s(1664) =< s(1662)+2
s(1665) =< s(1662)+1
s(1666) =< s(1662)
s(1667) =< s(1661)
s(1668) =< s(1371)*s(1664)
s(1669) =< s(1371)*s(1665)
s(1670) =< s(1371)*s(1666)
s(1663) =< s(1371)*s(1667)
s(1671) =< s(1371)*s(1667)
s(1672) =< s(1371)*s(1664)
s(1676) =< s(1663)
s(1677) =< s(1669)
s(1679) =< s(1670)
s(1680) =< s(1667)-1
s(1681) =< s(1676)*s(1666)
s(1682) =< s(1676)*s(1667)
s(1683) =< s(1676)*s(1680)
s(1684) =< s(1682)
s(1685) =< s(1681)
s(1686) =< s(1668)
s(1687) =< s(1671)
s(1689) =< s(1661)-1
s(1690) =< s(1687)*s(1662)
s(1691) =< s(1687)*s(1661)
s(1692) =< s(1687)*s(1689)
s(1693) =< s(1691)
s(1694) =< s(1690)
s(1695) =< aux(262)
s(1696) =< s(1371)*s(1429)
s(1697) =< s(1371)*s(1436)
s(1698) =< s(1371)*s(1433)
s(1699) =< s(1443)+s(1444)
s(1700) =< s(1445)+s(1446)+aux(262)
s(1701) =< s(1448)+s(1443)+aux(255)
s(1696) =< s(1448)+s(1443)+aux(255)
s(1702) =< s(1449)+s(1439)+aux(267)
s(1697) =< s(1449)+s(1439)+aux(267)
s(1703) =< s(1449)+s(1439)+aux(267)
s(1695) =< s(1451)+s(1377)+aux(262)
s(1698) =< s(1451)+s(1377)+aux(262)
s(1699) =< s(1695)*s(1429)
s(1700) =< s(1695)*s(1433)
s(1704) =< s(1695)*s(1434)
s(1705) =< s(1695)*s(1429)
s(1706) =< s(1695)*s(1433)
s(1707) =< s(1695)*s(1429)
s(1708) =< aux(270)+s(1443)+s(1696)+s(1701)+s(1701)
s(1709) =< aux(275)+s(1443)+s(1696)+s(1702)+s(1699)
s(1710) =< s(1699)+s(1705)+s(1443)+s(1443)+aux(270)
s(1711) =< s(1709)+2
s(1712) =< s(1709)+1
s(1713) =< s(1709)
s(1714) =< s(1708)
s(1715) =< s(1371)*s(1711)
s(1716) =< s(1371)*s(1712)
s(1717) =< s(1371)*s(1713)
s(1710) =< s(1371)*s(1714)
s(1718) =< s(1371)*s(1714)
s(1719) =< s(1371)*s(1711)
s(1720) =< s(1704)
s(1721) =< s(1698)
s(1722) =< s(1710)
s(1723) =< s(1716)
s(1724) =< s(1717)
s(1725) =< s(1714)-1
s(1726) =< s(1722)*s(1713)
s(1727) =< s(1722)*s(1714)
s(1728) =< s(1722)*s(1725)
s(1729) =< s(1727)
s(1730) =< s(1726)
s(1731) =< s(1715)
s(1732) =< s(1718)
s(1733) =< s(1708)-1
s(1734) =< s(1732)*s(1709)
s(1735) =< s(1732)*s(1708)
s(1736) =< s(1732)*s(1733)
s(1737) =< s(1735)
s(1738) =< s(1734)
s(1848) =< s(1443)+s(1510)+s(1511)+s(1511)
s(1850) =< s(1457)+s(1463)+s(1443)+s(1443)
s(1854) =< s(1848)
s(1850) =< s(1371)*s(1854)
s(1858) =< s(1371)*s(1854)
s(1860) =< s(1850)
s(1863) =< s(1854)-1
s(1864) =< s(1860)*s(1517)
s(1865) =< s(1860)*s(1854)
s(1866) =< s(1860)*s(1863)
s(1867) =< s(1865)
s(1868) =< s(1864)
s(1870) =< s(1858)
s(1871) =< s(1848)-1
s(1872) =< s(1870)*s(1513)
s(1873) =< s(1870)*s(1848)
s(1874) =< s(1870)*s(1871)
s(1875) =< s(1873)
s(1876) =< s(1872)
s(1886) =< s(1652)+s(1463)+s(1443)+s(1443)+aux(263)
s(1886) =< s(1652)+s(1463)+s(1443)+s(1443)+aux(270)
s(1886) =< s(1371)*s(1667)
s(1896) =< s(1886)
s(1900) =< s(1896)*s(1666)
s(1901) =< s(1896)*s(1667)
s(1902) =< s(1896)*s(1680)
s(1903) =< s(1901)
s(1904) =< s(1900)
s(1998) =< aux(270)
s(1999) =< aux(280)-1
s(2000) =< aux(280)-2
s(2001) =< aux(273)
s(2002) =< aux(273)-1
s(2003) =< aux(280)
s(2004) =< aux(270)+1
s(2005) =< aux(277)+1
s(2006) =< aux(280)+1
s(2007) =< aux(273)+1
s(2008) =< aux(270)
s(2009) =< s(1361)*aux(277)
s(2010) =< s(1361)*aux(273)
s(2011) =< s(1361)*aux(280)
s(2012) =< s(1361)*aux(270)
s(2013) =< s(1361)*s(1999)
s(2014) =< s(1361)*s(2000)
s(2015) =< s(1361)*s(2001)
s(2016) =< s(1361)*s(2002)
s(2017) =< s(1361)*s(1999)
s(2018) =< s(1361)*s(2003)
s(2019) =< s(1361)*s(2005)
s(2020) =< s(1361)*s(2006)
s(2021) =< s(1361)*s(2007)
s(2022) =< s(1361)*s(2003)
s(2023) =< s(1361)*s(2006)
s(2024) =< s(1361)*s(2004)
s(2025) =< s(1361)*s(2008)
s(2026) =< s(1361)*s(2006)
s(2027) =< s(2013)+s(2014)+aux(279)
s(2028) =< s(2015)+s(2016)+aux(273)
s(2029) =< s(2018)+s(2013)+aux(279)
s(2017) =< s(2018)+s(2013)+aux(279)
s(2030) =< s(2019)+s(2009)+aux(277)
s(2020) =< s(2019)+s(2009)+aux(277)
s(2031) =< s(2019)+s(2009)+aux(277)
s(1998) =< s(2021)+s(2010)+aux(273)
s(2022) =< s(2021)+s(2010)+aux(273)
s(2027) =< s(1998)*s(1999)
s(2028) =< s(1998)*s(2003)
s(2032) =< s(1998)*s(2004)
s(2033) =< s(1998)*s(1999)
s(2034) =< s(1998)*s(2003)
s(2035) =< s(1998)*s(1999)
s(2036) =< aux(284)+s(2013)+s(2017)+s(2029)+s(2029)
s(2037) =< aux(289)+s(2013)+s(2017)+s(2030)+s(2027)
s(2038) =< s(2027)+s(2033)+s(2013)+s(2013)+aux(284)
s(2039) =< s(2037)+2
s(2040) =< s(2037)+1
s(2041) =< s(2037)
s(2042) =< s(2036)
s(2043) =< s(1361)*s(2039)
s(2044) =< s(1361)*s(2040)
s(2045) =< s(1361)*s(2041)
s(2038) =< s(1361)*s(2042)
s(2046) =< s(1361)*s(2042)
s(2047) =< s(1361)*s(2039)
s(2048) =< s(2032)
s(2049) =< s(2018)
s(2050) =< s(2022)
s(2051) =< s(2038)
s(2052) =< s(2044)
s(2053) =< s(2026)
s(2054) =< s(2045)
s(2055) =< s(2042)-1
s(2056) =< s(2051)*s(2041)
s(2057) =< s(2051)*s(2042)
s(2058) =< s(2051)*s(2055)
s(2059) =< s(2057)
s(2060) =< s(2056)
s(2061) =< s(2043)
s(2062) =< s(2046)
s(2063) =< s(2011)
s(2064) =< s(2036)-1
s(2065) =< s(2062)*s(2037)
s(2066) =< s(2062)*s(2036)
s(2067) =< s(2062)*s(2064)
s(2068) =< s(2066)
s(2069) =< s(2065)
s(2070) =< aux(290)
s(2071) =< aux(285)
s(2073) =< aux(284)
s(2074) =< aux(290)-1
s(2075) =< s(2070)*aux(284)
s(2076) =< s(2070)*aux(290)
s(2077) =< s(2070)*s(2074)
s(2078) =< s(2076)
s(2079) =< s(2075)
s(2080) =< s(1361)*s(1999)
s(2081) =< s(2018)+s(2013)+aux(280)
s(2080) =< s(2018)+s(2013)+aux(280)
s(2082) =< s(2013)+s(2080)+s(2081)+s(2081)
s(2083) =< aux(279)+s(2013)+s(2080)+s(2030)+s(2027)
s(2084) =< s(2027)+s(2033)+s(2013)+s(2013)
s(2085) =< s(2083)+2
s(2086) =< s(2083)+1
s(2087) =< s(2083)
s(2088) =< s(2082)
s(2089) =< s(1361)*s(2085)
s(2090) =< s(1361)*s(2086)
s(2091) =< s(1361)*s(2087)
s(2084) =< s(1361)*s(2088)
s(2092) =< s(1361)*s(2088)
s(2093) =< s(1361)*s(2085)
s(2094) =< s(2084)
s(2095) =< s(2090)
s(2096) =< s(2091)
s(2097) =< s(2088)-1
s(2098) =< s(2094)*s(2087)
s(2099) =< s(2094)*s(2088)
s(2100) =< s(2094)*s(2097)
s(2101) =< s(2099)
s(2102) =< s(2098)
s(2103) =< s(2089)
s(2104) =< s(2092)
s(2105) =< s(2082)-1
s(2106) =< s(2104)*s(2083)
s(2107) =< s(2104)*s(2082)
s(2108) =< s(2104)*s(2105)
s(2109) =< s(2107)
s(2110) =< s(2106)
s(2111) =< aux(258)
s(2112) =< aux(258)
s(2113) =< aux(259)
s(2114) =< aux(259)-1
s(2115) =< aux(256)+1
s(2116) =< aux(259)+1
s(2117) =< s(2111)*aux(256)
s(2118) =< s(2111)*aux(259)
s(2119) =< s(2111)*aux(280)
s(2120) =< s(2111)*aux(270)
s(2121) =< s(2111)*s(1999)
s(2122) =< s(2111)*s(2000)
s(2123) =< s(2111)*s(2113)
s(2124) =< s(2111)*s(2114)
s(2125) =< s(2111)*s(1999)
s(2126) =< s(2111)*s(2003)
s(2127) =< s(2111)*s(2115)
s(2128) =< s(2111)*s(2006)
s(2129) =< s(2111)*s(2116)
s(2130) =< s(2111)*s(2003)
s(2131) =< s(2111)*s(2006)
s(2132) =< s(2111)*s(2004)
s(2133) =< s(2111)*s(2008)
s(2134) =< s(2111)*s(2006)
s(2135) =< s(2121)+s(2122)+aux(282)
s(2136) =< s(2123)+s(2124)+aux(260)
s(2137) =< s(2126)+s(2121)+aux(283)
s(2125) =< s(2126)+s(2121)+aux(283)
s(2138) =< s(2127)+s(2117)+aux(257)
s(2128) =< s(2127)+s(2117)+aux(257)
s(2139) =< s(2127)+s(2117)+aux(257)
s(2112) =< s(2129)+s(2118)+aux(261)
s(2130) =< s(2129)+s(2118)+aux(261)
s(2135) =< s(2112)*s(1999)
s(2136) =< s(2112)*s(2003)
s(2140) =< s(2112)*s(2004)
s(2141) =< s(2112)*s(1999)
s(2142) =< s(2112)*s(2003)
s(2143) =< s(2112)*s(1999)
s(2144) =< aux(290)+s(2121)+s(2125)+s(2137)+s(2137)
s(2145) =< aux(284)+s(2121)+s(2125)+s(2138)+s(2135)
s(2146) =< s(2135)+s(2141)+s(2121)+s(2121)+aux(290)
s(2147) =< s(2145)+2
s(2148) =< s(2145)+1
s(2149) =< s(2145)
s(2150) =< s(2144)
s(2151) =< s(2111)*s(2147)
s(2152) =< s(2111)*s(2148)
s(2153) =< s(2111)*s(2149)
s(2146) =< s(2111)*s(2150)
s(2154) =< s(2111)*s(2150)
s(2155) =< s(2111)*s(2147)
s(2156) =< s(2140)
s(2157) =< s(2126)
s(2158) =< s(2130)
s(2159) =< s(2146)
s(2160) =< s(2152)
s(2161) =< s(2134)
s(2162) =< s(2153)
s(2163) =< s(2150)-1
s(2164) =< s(2159)*s(2149)
s(2165) =< s(2159)*s(2150)
s(2166) =< s(2159)*s(2163)
s(2167) =< s(2165)
s(2168) =< s(2164)
s(2169) =< s(2151)
s(2170) =< s(2154)
s(2171) =< s(2119)
s(2172) =< s(2144)-1
s(2173) =< s(2170)*s(2145)
s(2174) =< s(2170)*s(2144)
s(2175) =< s(2170)*s(2172)
s(2176) =< s(2174)
s(2177) =< s(2173)
s(2234) =< s(1361)*s(1999)
s(2237) =< s(1361)*s(2006)
s(2244) =< s(2013)+s(2014)+aux(287)
s(2245) =< s(2015)+s(2016)+aux(274)
s(2246) =< s(2018)+s(2013)+aux(288)
s(2234) =< s(2018)+s(2013)+aux(288)
s(2247) =< s(2019)+s(2009)+aux(278)
s(2237) =< s(2019)+s(2009)+aux(278)
s(2248) =< s(2019)+s(2009)+aux(278)
s(2244) =< s(1998)*s(1999)
s(2245) =< s(1998)*s(2003)
s(2253) =< aux(273)+s(2013)+s(2234)+s(2246)+s(2246)
s(2254) =< aux(274)+s(2013)+s(2234)+s(2247)+s(2244)
s(2255) =< s(2244)+s(2033)+s(2013)+s(2013)+aux(273)
s(2256) =< s(2254)+2
s(2257) =< s(2254)+1
s(2258) =< s(2254)
s(2259) =< s(2253)
s(2260) =< s(1361)*s(2256)
s(2261) =< s(1361)*s(2257)
s(2262) =< s(1361)*s(2258)
s(2255) =< s(1361)*s(2259)
s(2263) =< s(1361)*s(2259)
s(2264) =< s(1361)*s(2256)
s(2268) =< s(2255)
s(2269) =< s(2261)
s(2271) =< s(2262)
s(2272) =< s(2259)-1
s(2273) =< s(2268)*s(2258)
s(2274) =< s(2268)*s(2259)
s(2275) =< s(2268)*s(2272)
s(2276) =< s(2274)
s(2277) =< s(2273)
s(2278) =< s(2260)
s(2279) =< s(2263)
s(2281) =< s(2253)-1
s(2282) =< s(2279)*s(2254)
s(2283) =< s(2279)*s(2253)
s(2284) =< s(2279)*s(2281)
s(2285) =< s(2283)
s(2286) =< s(2282)
s(2287) =< aux(270)
s(2288) =< s(1361)*s(1999)
s(2289) =< s(1361)*s(2006)
s(2290) =< s(1361)*s(2003)
s(2291) =< s(2013)+s(2014)
s(2292) =< s(2015)+s(2016)+aux(270)
s(2293) =< s(2018)+s(2013)+aux(255)
s(2288) =< s(2018)+s(2013)+aux(255)
s(2294) =< s(2019)+s(2009)+aux(275)
s(2289) =< s(2019)+s(2009)+aux(275)
s(2295) =< s(2019)+s(2009)+aux(275)
s(2287) =< s(2021)+s(2010)+aux(270)
s(2290) =< s(2021)+s(2010)+aux(270)
s(2291) =< s(2287)*s(1999)
s(2292) =< s(2287)*s(2003)
s(2296) =< s(2287)*s(2004)
s(2297) =< s(2287)*s(1999)
s(2298) =< s(2287)*s(2003)
s(2299) =< s(2287)*s(1999)
s(2300) =< aux(279)+s(2013)+s(2288)+s(2293)+s(2293)
s(2301) =< aux(287)+s(2013)+s(2288)+s(2294)+s(2291)
s(2302) =< s(2291)+s(2297)+s(2013)+s(2013)+aux(279)
s(2303) =< s(2301)+2
s(2304) =< s(2301)+1
s(2305) =< s(2301)
s(2306) =< s(2300)
s(2307) =< s(1361)*s(2303)
s(2308) =< s(1361)*s(2304)
s(2309) =< s(1361)*s(2305)
s(2302) =< s(1361)*s(2306)
s(2310) =< s(1361)*s(2306)
s(2311) =< s(1361)*s(2303)
s(2312) =< s(2296)
s(2313) =< s(2290)
s(2314) =< s(2302)
s(2315) =< s(2308)
s(2316) =< s(2309)
s(2317) =< s(2306)-1
s(2318) =< s(2314)*s(2305)
s(2319) =< s(2314)*s(2306)
s(2320) =< s(2314)*s(2317)
s(2321) =< s(2319)
s(2322) =< s(2318)
s(2323) =< s(2307)
s(2324) =< s(2310)
s(2325) =< s(2300)-1
s(2326) =< s(2324)*s(2301)
s(2327) =< s(2324)*s(2300)
s(2328) =< s(2324)*s(2325)
s(2329) =< s(2327)
s(2330) =< s(2326)
s(2478) =< s(2244)+s(2033)+s(2013)+s(2013)+aux(273)
s(2478) =< s(2244)+s(2033)+s(2013)+s(2013)+aux(279)
s(2478) =< s(1361)*s(2259)
s(2488) =< s(2478)
s(2492) =< s(2488)*s(2258)
s(2493) =< s(2488)*s(2259)
s(2494) =< s(2488)*s(2272)
s(2495) =< s(2493)
s(2496) =< s(2492)
s(2559) =< aux(277)
s(2599) =< aux(277)+s(2013)+s(2080)+s(2081)+s(2081)
s(2600) =< aux(278)+s(2013)+s(2080)+s(2030)+s(2027)
s(2601) =< s(2027)+s(2033)+s(2013)+s(2013)+aux(277)
s(2602) =< s(2600)+2
s(2603) =< s(2600)+1
s(2604) =< s(2600)
s(2605) =< s(2599)
s(2606) =< s(1361)*s(2602)
s(2607) =< s(1361)*s(2603)
s(2608) =< s(1361)*s(2604)
s(2601) =< s(1361)*s(2605)
s(2609) =< s(1361)*s(2605)
s(2610) =< s(1361)*s(2602)
s(2614) =< s(2601)
s(2615) =< s(2607)
s(2617) =< s(2608)
s(2618) =< s(2605)-1
s(2619) =< s(2614)*s(2604)
s(2620) =< s(2614)*s(2605)
s(2621) =< s(2614)*s(2618)
s(2622) =< s(2620)
s(2623) =< s(2619)
s(2624) =< s(2606)
s(2625) =< s(2609)
s(2627) =< s(2599)-1
s(2628) =< s(2625)*s(2600)
s(2629) =< s(2625)*s(2599)
s(2630) =< s(2625)*s(2627)
s(2631) =< s(2629)
s(2632) =< s(2628)
s(2685) =< s(2027)+s(2033)+s(2013)+s(2013)+aux(277)
s(2685) =< s(2027)+s(2033)+s(2013)+s(2013)+aux(280)
s(2685) =< s(1361)*s(2605)
s(2698) =< s(2685)
s(2703) =< s(2698)*s(2604)
s(2704) =< s(2698)*s(2605)
s(2705) =< s(2698)*s(2618)
s(2706) =< s(2704)
s(2707) =< s(2703)
s(1372) =< aux(264)
s(1375) =< aux(263)
s(1376) =< aux(262)-1
s(1378) =< s(1371)*aux(262)
s(1379) =< s(1371)*s(1376)
s(1380) =< s(1378)
s(1381) =< s(1377)

with precondition: [V>=0]

* Chain [67]: 38*s(2814)+291*s(2815)+392*s(2816)+46*s(2838)+198*s(2839)+67*s(2840)+512*s(2841)+180*s(2842)+10*s(2856)+10*s(2864)+20*s(2867)+30*s(2868)+20*s(2869)+10*s(2872)+10*s(2875)+10*s(2878)+10*s(2879)+2*s(2891)+40*s(2892)+110*s(2893)+30*s(2894)+26*s(2895)+30*s(2896)+80*s(2897)+26*s(2898)+4*s(2902)+12*s(2903)+8*s(2904)+8*s(2905)+24*s(2906)+20*s(2907)+4*s(2911)+12*s(2912)+8*s(2913)+136*s(2915)+29*s(2917)+40*s(2921)+120*s(2922)+40*s(2923)+5*s(2937)+130*s(2938)+75*s(2939)+65*s(2940)+20*s(2944)+60*s(2945)+40*s(2946)+20*s(2947)+120*s(2948)+20*s(2952)+60*s(2953)+40*s(2954)+420*s(2955)+36*s(2956)+10*s(2964)+2*s(2972)+20*s(2975)+30*s(2976)+20*s(2977)+2*s(2980)+2*s(2983)+2*s(2986)+2*s(2987)+2*s(2999)+8*s(3000)+110*s(3001)+6*s(3002)+52*s(3003)+30*s(3004)+80*s(3005)+26*s(3006)+8*s(3010)+24*s(3011)+16*s(3012)+8*s(3013)+48*s(3014)+20*s(3015)+8*s(3019)+24*s(3020)+16*s(3021)+52*s(3203)+8*s(3210)+24*s(3211)+8*s(3212)+48*s(3214)+8*s(3219)+24*s(3220)+8*s(3221)+40*s(3231)+126*s(3264)+7*s(3280)+7*s(3288)+7*s(3291)+7*s(3294)+7*s(3295)+1*s(3307)+28*s(3308)+21*s(3310)+26*s(3311)+15*s(3312)+13*s(3314)+4*s(3318)+12*s(3319)+8*s(3320)+4*s(3321)+24*s(3322)+4*s(3327)+12*s(3328)+8*s(3329)+18*s(3358)+1*s(3380)+1*s(3388)+1*s(3391)+1*s(3394)+1*s(3395)+1*s(3407)+4*s(3408)+3*s(3410)+26*s(3411)+15*s(3412)+13*s(3414)+4*s(3418)+12*s(3419)+8*s(3420)+4*s(3421)+24*s(3422)+4*s(3427)+12*s(3428)+8*s(3429)+250*s(3437)+75*s(3438)+191*s(3441)+40*s(3445)+120*s(3446)+80*s(3447)+25*s(3448)+1*s(3523)+26*s(3527)+15*s(3528)+13*s(3530)+4*s(3534)+12*s(3535)+8*s(3536)+4*s(3537)+24*s(3538)+4*s(3543)+12*s(3544)+8*s(3545)+2*s(3631)+52*s(3635)+30*s(3636)+26*s(3638)+8*s(3642)+24*s(3643)+16*s(3644)+8*s(3645)+48*s(3646)+8*s(3651)+24*s(3652)+16*s(3653)+14*s(3848)+1*s(3899)+15*s(3904)+13*s(3906)+8*s(3912)+4*s(3913)+8*s(3921)+20*s(3929)+60*s(3930)+40*s(3931)+1*s(4007)+26*s(4011)+15*s(4012)+13*s(4014)+4*s(4018)+12*s(4019)+8*s(4020)+4*s(4021)+24*s(4022)+4*s(4027)+12*s(4028)+8*s(4029)+1*s(4056)+3*s(4058)+1*s(4123)+26*s(4127)+15*s(4128)+13*s(4130)+4*s(4134)+12*s(4135)+8*s(4136)+4*s(4137)+24*s(4138)+4*s(4143)+12*s(4144)+8*s(4145)+14*s(4190)+1*s(4241)+26*s(4245)+15*s(4246)+13*s(4248)+4*s(4252)+12*s(4253)+8*s(4254)+4*s(4255)+24*s(4256)+4*s(4261)+12*s(4262)+8*s(4263)+39*s(4265)+29*s(4267)+20*s(4271)+60*s(4272)+40*s(4273)+2*s(4349)+52*s(4353)+30*s(4354)+26*s(4356)+8*s(4360)+24*s(4361)+16*s(4362)+8*s(4363)+48*s(4364)+8*s(4369)+24*s(4370)+16*s(4371)+53*s(4545)+34*s(4557)+106*s(4572)+56*s(4580)+16*s(4587)+48*s(4588)+32*s(4589)+10*s(4590)+2*s(4667)+29
Such that:s(3344) =< -2*V1+2*V4+2*V11
s(4056) =< -V1+V4+V11+1
aux(371) =< V1+2
s(3844) =< 2*V11+3
s(4185) =< 2*V11+V16+1
s(4186) =< 2*V11+V16+2
s(3834) =< 3*V11+1
s(4176) =< 3*V11+V16
aux(372) =< 1
aux(373) =< -2*V1+2*V4
aux(374) =< -2*V1+2*V4+V11
aux(375) =< -V1+V4
aux(376) =< -V1+V4+V11
aux(377) =< -V1+V4+2*V11
aux(378) =< V1
aux(379) =< V1+1
aux(380) =< V1+V4
aux(381) =< V1+V4+1
aux(382) =< V4
aux(383) =< V4+1
aux(384) =< V4+2
aux(385) =< V4+V11
aux(386) =< 2*V4+V11
aux(387) =< V11
aux(388) =< V11+1
aux(389) =< V11+2
aux(390) =< V11+V16
aux(391) =< V11+V16+1
aux(392) =< V11+V16+2
aux(393) =< 2*V11
aux(394) =< 2*V11+1
aux(395) =< 2*V11+2
aux(396) =< 2*V11+V16
aux(397) =< 3*V11
aux(398) =< V16
s(2838) =< aux(372)
s(4572) =< aux(378)
s(2814) =< aux(379)
s(4590) =< aux(381)
s(2841) =< aux(382)
s(4545) =< aux(383)
s(4557) =< aux(384)
s(2815) =< aux(387)
s(2816) =< aux(388)
s(2839) =< aux(389)
s(3448) =< aux(392)
s(2955) =< aux(375)
s(2956) =< aux(375)
s(2843) =< aux(388)-1
s(2844) =< aux(388)-2
s(2957) =< aux(376)
s(2958) =< aux(376)-1
s(2847) =< aux(388)
s(2848) =< aux(382)+1
s(2959) =< aux(374)+1
s(2850) =< aux(388)+1
s(2960) =< aux(376)+1
s(2852) =< aux(382)
s(2961) =< s(2955)*aux(374)
s(2962) =< s(2955)*aux(376)
s(2963) =< s(2955)*aux(388)
s(2964) =< s(2955)*aux(382)
s(2965) =< s(2955)*s(2843)
s(2966) =< s(2955)*s(2844)
s(2967) =< s(2955)*s(2957)
s(2968) =< s(2955)*s(2958)
s(2969) =< s(2955)*s(2843)
s(2970) =< s(2955)*s(2847)
s(2971) =< s(2955)*s(2959)
s(2972) =< s(2955)*s(2850)
s(2973) =< s(2955)*s(2960)
s(2974) =< s(2955)*s(2847)
s(2975) =< s(2955)*s(2850)
s(2976) =< s(2955)*s(2848)
s(2977) =< s(2955)*s(2852)
s(2978) =< s(2955)*s(2850)
s(2979) =< s(2965)+s(2966)
s(2980) =< s(2967)+s(2968)+aux(375)
s(2981) =< s(2970)+s(2965)+aux(372)
s(2969) =< s(2970)+s(2965)+aux(372)
s(2982) =< s(2971)+s(2961)+aux(373)
s(2972) =< s(2971)+s(2961)+aux(373)
s(2983) =< s(2971)+s(2961)+aux(373)
s(2956) =< s(2973)+s(2962)+aux(375)
s(2974) =< s(2973)+s(2962)+aux(375)
s(2979) =< s(2956)*s(2843)
s(2980) =< s(2956)*s(2847)
s(2984) =< s(2956)*s(2848)
s(2985) =< s(2956)*s(2843)
s(2986) =< s(2956)*s(2847)
s(2987) =< s(2956)*s(2843)
s(2988) =< aux(387)+s(2965)+s(2969)+s(2981)+s(2981)
s(2989) =< aux(393)+s(2965)+s(2969)+s(2982)+s(2979)
s(2990) =< s(2979)+s(2985)+s(2965)+s(2965)+aux(387)
s(2991) =< s(2989)+2
s(2992) =< s(2989)+1
s(2993) =< s(2989)
s(2994) =< s(2988)
s(2995) =< s(2955)*s(2991)
s(2996) =< s(2955)*s(2992)
s(2997) =< s(2955)*s(2993)
s(2990) =< s(2955)*s(2994)
s(2998) =< s(2955)*s(2994)
s(2999) =< s(2955)*s(2991)
s(3000) =< s(2984)
s(3001) =< s(2970)
s(3002) =< s(2974)
s(3003) =< s(2990)
s(3004) =< s(2996)
s(3005) =< s(2978)
s(3006) =< s(2997)
s(3007) =< s(2994)-1
s(3008) =< s(3003)*s(2993)
s(3009) =< s(3003)*s(2994)
s(3010) =< s(3003)*s(3007)
s(3011) =< s(3009)
s(3012) =< s(3008)
s(3013) =< s(2995)
s(3014) =< s(2998)
s(3015) =< s(2963)
s(3016) =< s(2988)-1
s(3017) =< s(3014)*s(2989)
s(3018) =< s(3014)*s(2988)
s(3019) =< s(3014)*s(3016)
s(3020) =< s(3018)
s(3021) =< s(3017)
s(2840) =< aux(395)
s(2842) =< aux(382)
s(2845) =< aux(385)
s(2846) =< aux(385)-1
s(2849) =< aux(386)+1
s(2851) =< aux(385)+1
s(2853) =< s(2841)*aux(386)
s(2854) =< s(2841)*aux(385)
s(2855) =< s(2841)*aux(388)
s(2856) =< s(2841)*aux(382)
s(2857) =< s(2841)*s(2843)
s(2858) =< s(2841)*s(2844)
s(2859) =< s(2841)*s(2845)
s(2860) =< s(2841)*s(2846)
s(2861) =< s(2841)*s(2843)
s(2862) =< s(2841)*s(2847)
s(2863) =< s(2841)*s(2849)
s(2864) =< s(2841)*s(2850)
s(2865) =< s(2841)*s(2851)
s(2866) =< s(2841)*s(2847)
s(2867) =< s(2841)*s(2850)
s(2868) =< s(2841)*s(2848)
s(2869) =< s(2841)*s(2852)
s(2870) =< s(2841)*s(2850)
s(2871) =< s(2857)+s(2858)+aux(387)
s(2872) =< s(2859)+s(2860)+aux(385)
s(2873) =< s(2862)+s(2857)+aux(387)
s(2861) =< s(2862)+s(2857)+aux(387)
s(2874) =< s(2863)+s(2853)+aux(386)
s(2864) =< s(2863)+s(2853)+aux(386)
s(2875) =< s(2863)+s(2853)+aux(386)
s(2842) =< s(2865)+s(2854)+aux(385)
s(2866) =< s(2865)+s(2854)+aux(385)
s(2871) =< s(2842)*s(2843)
s(2872) =< s(2842)*s(2847)
s(2876) =< s(2842)*s(2848)
s(2877) =< s(2842)*s(2843)
s(2878) =< s(2842)*s(2847)
s(2879) =< s(2842)*s(2843)
s(3188) =< aux(394)+s(2857)+s(2861)+s(2873)+s(2873)
s(2881) =< aux(397)+s(2857)+s(2861)+s(2874)+s(2871)
s(3190) =< s(2871)+s(2877)+s(2857)+s(2857)+aux(394)
s(2883) =< s(2881)+2
s(2884) =< s(2881)+1
s(2885) =< s(2881)
s(3194) =< s(3188)
s(2887) =< s(2841)*s(2883)
s(2888) =< s(2841)*s(2884)
s(2889) =< s(2841)*s(2885)
s(3190) =< s(2841)*s(3194)
s(3198) =< s(2841)*s(3194)
s(2891) =< s(2841)*s(2883)
s(2892) =< s(2876)
s(2893) =< s(2862)
s(2894) =< s(2866)
s(3203) =< s(3190)
s(2896) =< s(2888)
s(2897) =< s(2870)
s(2898) =< s(2889)
s(3207) =< s(3194)-1
s(3208) =< s(3203)*s(2885)
s(3209) =< s(3203)*s(3194)
s(3210) =< s(3203)*s(3207)
s(3211) =< s(3209)
s(3212) =< s(3208)
s(2905) =< s(2887)
s(3214) =< s(3198)
s(2907) =< s(2855)
s(3216) =< s(3188)-1
s(3217) =< s(3214)*s(2881)
s(3218) =< s(3214)*s(3188)
s(3219) =< s(3214)*s(3216)
s(3220) =< s(3218)
s(3221) =< s(3217)
s(2915) =< aux(394)
s(2918) =< aux(387)-1
s(3227) =< s(2815)*aux(394)
s(2920) =< s(2815)*aux(387)
s(2921) =< s(2815)*s(2918)
s(2922) =< s(2920)
s(3231) =< s(3227)
s(2924) =< s(2841)*s(2843)
s(2925) =< s(2862)+s(2857)+aux(388)
s(2924) =< s(2862)+s(2857)+aux(388)
s(2926) =< s(2857)+s(2924)+s(2925)+s(2925)
s(2927) =< aux(387)+s(2857)+s(2924)+s(2874)+s(2871)
s(2928) =< s(2871)+s(2877)+s(2857)+s(2857)
s(2929) =< s(2927)+2
s(2930) =< s(2927)+1
s(2931) =< s(2927)
s(2932) =< s(2926)
s(2933) =< s(2841)*s(2929)
s(2934) =< s(2841)*s(2930)
s(2935) =< s(2841)*s(2931)
s(2928) =< s(2841)*s(2932)
s(2936) =< s(2841)*s(2932)
s(2937) =< s(2841)*s(2929)
s(2938) =< s(2928)
s(2939) =< s(2934)
s(2940) =< s(2935)
s(2941) =< s(2932)-1
s(2942) =< s(2938)*s(2931)
s(2943) =< s(2938)*s(2932)
s(2944) =< s(2938)*s(2941)
s(2945) =< s(2943)
s(2946) =< s(2942)
s(2947) =< s(2933)
s(2948) =< s(2936)
s(2949) =< s(2926)-1
s(2950) =< s(2948)*s(2927)
s(2951) =< s(2948)*s(2926)
s(2952) =< s(2948)*s(2949)
s(2953) =< s(2951)
s(2954) =< s(2950)
s(3264) =< aux(375)
s(3277) =< s(2955)*s(2843)
s(3280) =< s(2955)*s(2850)
s(3282) =< s(2955)*s(2847)
s(3287) =< s(2965)+s(2966)+aux(393)
s(3288) =< s(2967)+s(2968)+aux(376)
s(3289) =< s(2970)+s(2965)+aux(394)
s(3277) =< s(2970)+s(2965)+aux(394)
s(3290) =< s(2971)+s(2961)+aux(374)
s(3280) =< s(2971)+s(2961)+aux(374)
s(3291) =< s(2971)+s(2961)+aux(374)
s(3264) =< s(2973)+s(2962)+aux(376)
s(3282) =< s(2973)+s(2962)+aux(376)
s(3287) =< s(3264)*s(2843)
s(3288) =< s(3264)*s(2847)
s(3292) =< s(3264)*s(2848)
s(3293) =< s(3264)*s(2843)
s(3294) =< s(3264)*s(2847)
s(3295) =< s(3264)*s(2843)
s(3296) =< aux(387)+s(2965)+s(3277)+s(3289)+s(3289)
s(3297) =< aux(394)+s(2965)+s(3277)+s(3290)+s(3287)
s(3298) =< s(3287)+s(3293)+s(2965)+s(2965)+aux(387)
s(3299) =< s(3297)+2
s(3300) =< s(3297)+1
s(3301) =< s(3297)
s(3302) =< s(3296)
s(3303) =< s(2955)*s(3299)
s(3304) =< s(2955)*s(3300)
s(3305) =< s(2955)*s(3301)
s(3298) =< s(2955)*s(3302)
s(3306) =< s(2955)*s(3302)
s(3307) =< s(2955)*s(3299)
s(3308) =< s(3292)
s(3310) =< s(3282)
s(3311) =< s(3298)
s(3312) =< s(3304)
s(3314) =< s(3305)
s(3315) =< s(3302)-1
s(3316) =< s(3311)*s(3301)
s(3317) =< s(3311)*s(3302)
s(3318) =< s(3311)*s(3315)
s(3319) =< s(3317)
s(3320) =< s(3316)
s(3321) =< s(3303)
s(3322) =< s(3306)
s(3324) =< s(3296)-1
s(3325) =< s(3322)*s(3297)
s(3326) =< s(3322)*s(3296)
s(3327) =< s(3322)*s(3324)
s(3328) =< s(3326)
s(3329) =< s(3325)
s(3512) =< aux(387)+s(2857)+s(2861)+s(2873)+s(2873)
s(3513) =< aux(393)+s(2857)+s(2861)+s(2874)+s(2871)
s(3514) =< s(2871)+s(2877)+s(2857)+s(2857)+aux(387)
s(3515) =< s(3513)+2
s(3516) =< s(3513)+1
s(3517) =< s(3513)
s(3518) =< s(3512)
s(3519) =< s(2841)*s(3515)
s(3520) =< s(2841)*s(3516)
s(3521) =< s(2841)*s(3517)
s(3514) =< s(2841)*s(3518)
s(3522) =< s(2841)*s(3518)
s(3523) =< s(2841)*s(3515)
s(3527) =< s(3514)
s(3528) =< s(3520)
s(3530) =< s(3521)
s(3531) =< s(3518)-1
s(3532) =< s(3527)*s(3517)
s(3533) =< s(3527)*s(3518)
s(3534) =< s(3527)*s(3531)
s(3535) =< s(3533)
s(3536) =< s(3532)
s(3537) =< s(3519)
s(3538) =< s(3522)
s(3540) =< s(3512)-1
s(3541) =< s(3538)*s(3513)
s(3542) =< s(3538)*s(3512)
s(3543) =< s(3538)*s(3540)
s(3544) =< s(3542)
s(3545) =< s(3541)
s(3601) =< s(2955)*s(2843)
s(3611) =< s(2965)+s(2966)+aux(387)
s(3613) =< s(2970)+s(2965)+aux(388)
s(3601) =< s(2970)+s(2965)+aux(388)
s(3611) =< s(3264)*s(2843)
s(3620) =< s(2965)+s(3601)+s(3613)+s(3613)
s(3621) =< aux(387)+s(2965)+s(3601)+s(3290)+s(3611)
s(3622) =< s(3611)+s(3293)+s(2965)+s(2965)
s(3623) =< s(3621)+2
s(3624) =< s(3621)+1
s(3625) =< s(3621)
s(3626) =< s(3620)
s(3627) =< s(2955)*s(3623)
s(3628) =< s(2955)*s(3624)
s(3629) =< s(2955)*s(3625)
s(3622) =< s(2955)*s(3626)
s(3630) =< s(2955)*s(3626)
s(3631) =< s(2955)*s(3623)
s(3635) =< s(3622)
s(3636) =< s(3628)
s(3638) =< s(3629)
s(3639) =< s(3626)-1
s(3640) =< s(3635)*s(3625)
s(3641) =< s(3635)*s(3626)
s(3642) =< s(3635)*s(3639)
s(3643) =< s(3641)
s(3644) =< s(3640)
s(3645) =< s(3627)
s(3646) =< s(3630)
s(3648) =< s(3620)-1
s(3649) =< s(3646)*s(3621)
s(3650) =< s(3646)*s(3620)
s(3651) =< s(3646)*s(3648)
s(3652) =< s(3650)
s(3653) =< s(3649)
s(3437) =< aux(398)
s(3438) =< aux(391)
s(3441) =< aux(390)
s(3442) =< aux(398)-1
s(3443) =< s(3437)*aux(390)
s(3444) =< s(3437)*aux(398)
s(3445) =< s(3437)*s(3442)
s(3446) =< s(3444)
s(3447) =< s(3443)
s(3848) =< s(3844)
s(3889) =< s(3834)+s(2857)+s(2861)+s(2874)+s(2871)
s(3891) =< s(3889)+2
s(3892) =< s(3889)+1
s(3893) =< s(3889)
s(3895) =< s(2841)*s(3891)
s(3896) =< s(2841)*s(3892)
s(3897) =< s(2841)*s(3893)
s(3899) =< s(2841)*s(3891)
s(3904) =< s(3896)
s(3906) =< s(3897)
s(3908) =< s(3203)*s(3893)
s(3912) =< s(3908)
s(3913) =< s(3895)
s(3917) =< s(3214)*s(3889)
s(3921) =< s(3917)
s(3927) =< s(2816)*aux(394)
s(3928) =< s(2816)*aux(388)
s(3929) =< s(2816)*s(2843)
s(3930) =< s(3928)
s(3931) =< s(3927)
s(3996) =< aux(388)+s(2965)+s(3601)+s(3613)+s(3613)
s(3997) =< aux(394)+s(2965)+s(3601)+s(3290)+s(3611)
s(3998) =< s(3611)+s(3293)+s(2965)+s(2965)+aux(388)
s(3999) =< s(3997)+2
s(4000) =< s(3997)+1
s(4001) =< s(3997)
s(4002) =< s(3996)
s(4003) =< s(2955)*s(3999)
s(4004) =< s(2955)*s(4000)
s(4005) =< s(2955)*s(4001)
s(3998) =< s(2955)*s(4002)
s(4006) =< s(2955)*s(4002)
s(4007) =< s(2955)*s(3999)
s(4011) =< s(3998)
s(4012) =< s(4004)
s(4014) =< s(4005)
s(4015) =< s(4002)-1
s(4016) =< s(4011)*s(4001)
s(4017) =< s(4011)*s(4002)
s(4018) =< s(4011)*s(4015)
s(4019) =< s(4017)
s(4020) =< s(4016)
s(4021) =< s(4003)
s(4022) =< s(4006)
s(4024) =< s(3996)-1
s(4025) =< s(4022)*s(3997)
s(4026) =< s(4022)*s(3996)
s(4027) =< s(4022)*s(4024)
s(4028) =< s(4026)
s(4029) =< s(4025)
s(4190) =< s(4186)
s(4230) =< aux(396)+s(2857)+s(2861)+s(2873)+s(2873)
s(4231) =< s(4176)+s(2857)+s(2861)+s(2874)+s(2871)
s(4232) =< s(2871)+s(2877)+s(2857)+s(2857)+aux(396)
s(4233) =< s(4231)+2
s(4234) =< s(4231)+1
s(4235) =< s(4231)
s(4236) =< s(4230)
s(4237) =< s(2841)*s(4233)
s(4238) =< s(2841)*s(4234)
s(4239) =< s(2841)*s(4235)
s(4232) =< s(2841)*s(4236)
s(4240) =< s(2841)*s(4236)
s(4241) =< s(2841)*s(4233)
s(4245) =< s(4232)
s(4246) =< s(4238)
s(4248) =< s(4239)
s(4249) =< s(4236)-1
s(4250) =< s(4245)*s(4235)
s(4251) =< s(4245)*s(4236)
s(4252) =< s(4245)*s(4249)
s(4253) =< s(4251)
s(4254) =< s(4250)
s(4255) =< s(4237)
s(4256) =< s(4240)
s(4258) =< s(4230)-1
s(4259) =< s(4256)*s(4231)
s(4260) =< s(4256)*s(4230)
s(4261) =< s(4256)*s(4258)
s(4262) =< s(4260)
s(4263) =< s(4259)
s(4265) =< s(4185)
s(4267) =< aux(396)
s(4268) =< aux(390)-1
s(4269) =< s(3441)*aux(396)
s(4270) =< s(3441)*aux(390)
s(4271) =< s(3441)*s(4268)
s(4272) =< s(4270)
s(4273) =< s(4269)
s(4319) =< s(2955)*s(2843)
s(4331) =< s(2970)+s(2965)+aux(387)
s(4319) =< s(2970)+s(2965)+aux(387)
s(4338) =< aux(390)+s(2965)+s(4319)+s(4331)+s(4331)
s(4339) =< aux(396)+s(2965)+s(4319)+s(3290)+s(3611)
s(4340) =< s(3611)+s(3293)+s(2965)+s(2965)+aux(390)
s(4341) =< s(4339)+2
s(4342) =< s(4339)+1
s(4343) =< s(4339)
s(4344) =< s(4338)
s(4345) =< s(2955)*s(4341)
s(4346) =< s(2955)*s(4342)
s(4347) =< s(2955)*s(4343)
s(4340) =< s(2955)*s(4344)
s(4348) =< s(2955)*s(4344)
s(4349) =< s(2955)*s(4341)
s(4353) =< s(4340)
s(4354) =< s(4346)
s(4356) =< s(4347)
s(4357) =< s(4344)-1
s(4358) =< s(4353)*s(4343)
s(4359) =< s(4353)*s(4344)
s(4360) =< s(4353)*s(4357)
s(4361) =< s(4359)
s(4362) =< s(4358)
s(4363) =< s(4345)
s(4364) =< s(4348)
s(4366) =< s(4338)-1
s(4367) =< s(4364)*s(4339)
s(4368) =< s(4364)*s(4338)
s(4369) =< s(4364)*s(4366)
s(4370) =< s(4368)
s(4371) =< s(4367)
s(2880) =< aux(393)+s(2857)+s(2861)+s(2873)+s(2873)
s(2882) =< s(2871)+s(2877)+s(2857)+s(2857)+aux(393)
s(2886) =< s(2880)
s(2882) =< s(2841)*s(2886)
s(2890) =< s(2841)*s(2886)
s(2895) =< s(2882)
s(2899) =< s(2886)-1
s(2900) =< s(2895)*s(2885)
s(2901) =< s(2895)*s(2886)
s(2902) =< s(2895)*s(2899)
s(2903) =< s(2901)
s(2904) =< s(2900)
s(2906) =< s(2890)
s(2908) =< s(2880)-1
s(2909) =< s(2906)*s(2881)
s(2910) =< s(2906)*s(2880)
s(2911) =< s(2906)*s(2908)
s(2912) =< s(2910)
s(2913) =< s(2909)
s(2917) =< aux(393)
s(2919) =< s(2815)*aux(393)
s(2923) =< s(2919)
s(3358) =< aux(375)
s(3380) =< s(2955)*s(2850)
s(3382) =< s(2955)*s(2847)
s(3387) =< s(2965)+s(2966)+aux(393)
s(3388) =< s(2967)+s(2968)+aux(377)
s(3390) =< s(2971)+s(2961)+s(3344)
s(3380) =< s(2971)+s(2961)+s(3344)
s(3391) =< s(2971)+s(2961)+s(3344)
s(3358) =< s(2973)+s(2962)+aux(377)
s(3382) =< s(2973)+s(2962)+aux(377)
s(3387) =< s(3358)*s(2843)
s(3388) =< s(3358)*s(2847)
s(3392) =< s(3358)*s(2848)
s(3393) =< s(3358)*s(2843)
s(3394) =< s(3358)*s(2847)
s(3395) =< s(3358)*s(2843)
s(3396) =< aux(374)+s(2965)+s(3277)+s(3289)+s(3289)
s(3397) =< aux(394)+s(2965)+s(3277)+s(3390)+s(3387)
s(3398) =< s(3387)+s(3393)+s(2965)+s(2965)+aux(374)
s(3399) =< s(3397)+2
s(3400) =< s(3397)+1
s(3401) =< s(3397)
s(3402) =< s(3396)
s(3398) =< s(3387)+s(3393)+s(2965)+s(2965)+aux(387)
s(3403) =< s(2955)*s(3399)
s(3404) =< s(2955)*s(3400)
s(3405) =< s(2955)*s(3401)
s(3398) =< s(2955)*s(3402)
s(3406) =< s(2955)*s(3402)
s(3407) =< s(2955)*s(3399)
s(3408) =< s(3392)
s(3410) =< s(3382)
s(3411) =< s(3398)
s(3412) =< s(3404)
s(3414) =< s(3405)
s(3415) =< s(3402)-1
s(3416) =< s(3411)*s(3401)
s(3417) =< s(3411)*s(3402)
s(3418) =< s(3411)*s(3415)
s(3419) =< s(3417)
s(3420) =< s(3416)
s(3421) =< s(3403)
s(3422) =< s(3406)
s(3424) =< s(3396)-1
s(3425) =< s(3422)*s(3397)
s(3426) =< s(3422)*s(3396)
s(3427) =< s(3422)*s(3424)
s(3428) =< s(3426)
s(3429) =< s(3425)
s(4112) =< aux(376)+s(2965)+s(3601)+s(3613)+s(3613)
s(4113) =< aux(377)+s(2965)+s(3601)+s(3290)+s(3611)
s(4114) =< s(3611)+s(3293)+s(2965)+s(2965)+aux(376)
s(4115) =< s(4113)+2
s(4116) =< s(4113)+1
s(4117) =< s(4113)
s(4118) =< s(4112)
s(4114) =< s(3611)+s(3293)+s(2965)+s(2965)+aux(388)
s(4119) =< s(2955)*s(4115)
s(4120) =< s(2955)*s(4116)
s(4121) =< s(2955)*s(4117)
s(4114) =< s(2955)*s(4118)
s(4122) =< s(2955)*s(4118)
s(4123) =< s(2955)*s(4115)
s(4127) =< s(4114)
s(4128) =< s(4120)
s(4130) =< s(4121)
s(4131) =< s(4118)-1
s(4132) =< s(4127)*s(4117)
s(4133) =< s(4127)*s(4118)
s(4134) =< s(4127)*s(4131)
s(4135) =< s(4133)
s(4136) =< s(4132)
s(4137) =< s(4119)
s(4138) =< s(4122)
s(4140) =< s(4112)-1
s(4141) =< s(4138)*s(4113)
s(4142) =< s(4138)*s(4112)
s(4143) =< s(4138)*s(4140)
s(4144) =< s(4142)
s(4145) =< s(4141)
s(4058) =< aux(376)
s(4667) =< aux(371)
s(4580) =< aux(380)
s(4584) =< aux(378)-1
s(4585) =< s(4572)*aux(380)
s(4586) =< s(4572)*aux(378)
s(4587) =< s(4572)*s(4584)
s(4588) =< s(4586)
s(4589) =< s(4585)

with precondition: [V=1]

* Chain [66]: 2*s(4680)+2
Such that:aux(399) =< V4
s(4680) =< aux(399)

with precondition: [V=2,V1>=0,V4>=0]

* Chain [65]: 3
with precondition: [V1=0,V>=0]

* Chain [64]: 6
with precondition: [V1=1,V>=0,V4>=0]


Closed-form bounds of start(V,V1,V4,V11,V16):
-------------------------------------
* Chain [68] with precondition: [V>=0]
- Upper bound: 1231*V+66+443*V*V+72*V*nat(V1)+16*V*nat(V1)*V+72*V*nat(nat(V1+1)+ -2)*V+288*V*nat(nat(V1+1)+ -1)*V+64*V*nat(nat(V1+1)+ -1)*V*V+16*V*nat(2*V1)+16*V*nat(V+V1)+32*V*nat(V1+1)*V*V+nat(V1)*1629+nat(V1)*576*V+nat(V1)*48*V*V+nat(V1)*264*V*nat(V1)+nat(V1)*48*V*nat(nat(V1+1)+ -2)*V+nat(V1)*432*V*nat(nat(V1+1)+ -1)*V+nat(V1)*48*V*nat(2*V1)+nat(V1)*144*V*nat(V1+1)*V+nat(V1)*48*V*nat(2*V+V1)+nat(V1)*96*V*nat(2*V+V1)*V+nat(V1)*718*nat(V1)+nat(V1)*32*nat(V1)*V+nat(V1)*64*nat(V4)+nat(V1)*16*nat(V4)*nat(V1)+nat(V1)*168*nat(nat(V1+1)+ -2)*V+nat(V1)*80*nat(nat(V4+1)+ -2)*nat(V1)+nat(V1)*672*nat(nat(V1+1)+ -1)*V+nat(V1)*128*nat(nat(V1+1)+ -1)*V*V+nat(V1)*320*nat(nat(V4+1)+ -1)*nat(V1)+nat(V1)*64*nat(nat(V4+1)+ -1)*nat(V1)*nat(V1)+nat(V1)*16*nat(2*V4)+nat(V1)*16*nat(V1+V4)+nat(V1)*64*nat(V1+1)*V*V+nat(V1)*16*nat(V4+V11)+nat(V1)*32*nat(V4+1)*nat(V1)*nat(V1)+nat(V1)*20*nat(-V+V1)+nat(V1)*16*nat(2*V1+V4)+nat(V4)*272+nat(V4)*528*nat(V1)+nat(V4)*32*nat(V1)*nat(V1)+nat(V4)*128*nat(V1)*nat(V4)+nat(V4)*32*nat(V1)*nat(nat(V4+1)+ -2)*nat(V1)+nat(V4)*288*nat(V1)*nat(nat(V4+1)+ -1)*nat(V1)+nat(V4)*48*nat(V1)*nat(V4+V11)+nat(V4)*96*nat(V1)*nat(V4+1)*nat(V1)+nat(V4)*32*nat(V1)*nat(2*V1+V4)+nat(V4)*64*nat(V1)*nat(2*V1+V4)*nat(V1)+nat(V4)*32*nat(V1)*nat(2*V4+V11)+nat(V4)*144*nat(V4)+nat(V4)*32*nat(V4)*nat(V1)+nat(V4)*144*nat(nat(V4+1)+ -2)*nat(V1)+nat(V4)*576*nat(nat(V4+1)+ -1)*nat(V1)+nat(V4)*128*nat(nat(V4+1)+ -1)*nat(V1)*nat(V1)+nat(V4)*64*nat(V4+V11)+nat(V4)*64*nat(V4+1)*nat(V1)*nat(V1)+nat(V4)*16*nat(2*V1+V4)+nat(V11)*252+nat(V11)*120*nat(V11)+nat(V11)*24*nat(V11)*nat(-V+V1)+nat(V11)*24*nat(nat(V4+1)+ -2)*nat(-V+V1)+nat(V11)*96*nat(nat(V4+1)+ -1)*nat(-V+V1)+nat(V11)*96*nat(nat(V4+1)+ -1)*nat(-V+V1)*nat(-V+V1)+nat(V11)*48*nat(V4+1)*nat(-V+V1)*nat(-V+V1)+nat(V11)*48*nat(-V+V1)+nat(V11)*16*nat(-V+V1)*nat(nat(V4+1)+ -2)*nat(-V+V1)+nat(V11)*48*nat(-V+V1)*nat(nat(V4+1)+ -1)*nat(-V+V1)+nat(V11)*16*nat(-V+V1)*nat(V4+V11)+nat(V11)*16*nat(-V+V1)*nat(-V+V1)+nat(V11)*32*nat(-V+V1)*nat(-2*V+2*V1+V4)*nat(-V+V1)+nat(V11)*16*nat(-V+V1)*nat(-2*V+2*V1+V4-V11+1)+nat(V11)*16*nat(-V+V1)*nat(V4-V11)+nat(V11)*48*nat(V4-V11+1)*nat(-V+V1)+nat(V11)*24*nat(V4-V11)+nat(nat(V1+1)+ -2)*290*V+nat(nat(V1+1)+ -2)*329*V*V+nat(nat(V1+1)+ -2)*72*V*nat(V1)+nat(nat(V1+1)+ -2)*16*V*nat(V1)*V+nat(nat(V1+1)+ -2)*72*V*nat(nat(V1+1)+ -2)*V+nat(nat(V1+1)+ -2)*288*V*nat(nat(V1+1)+ -1)*V+nat(nat(V1+1)+ -2)*64*V*nat(nat(V1+1)+ -1)*V*V+nat(nat(V1+1)+ -2)*16*V*nat(2*V1)+nat(nat(V1+1)+ -2)*16*V*nat(V+V1)+nat(nat(V1+1)+ -2)*32*V*nat(V1+1)*V*V+nat(nat(V4+1)+ -2)*316*nat(V1)+nat(nat(V4+1)+ -2)*362*nat(V1)*nat(V1)+nat(nat(V4+1)+ -2)*64*nat(V1)*nat(V4)+nat(nat(V4+1)+ -2)*16*nat(V1)*nat(V4)*nat(V1)+nat(nat(V4+1)+ 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-1)*nat(-V+V1)+nat(V4-V11+1)*32*nat(-V+V1)*nat(V4+V11)+nat(V4-V11+1)*32*nat(-V+V1)*nat(-V+V1)+nat(V4-V11+1)*64*nat(-V+V1)*nat(-2*V+2*V1+V4)*nat(-V+V1)+nat(V4-V11+1)*32*nat(-V+V1)*nat(-2*V+2*V1+V4-V11+1)+nat(V4-V11+1)*32*nat(-V+V1)*nat(V4-V11)+nat(V4-V11+1)*96*nat(V4-V11+1)*nat(-V+V1)+nat(V4-V11+1)*48*nat(V4-V11)+nat(-2*V+2*V1+V4-V11+1)*2+nat(-2*V+2*V1+V4-V11+1)*16*nat(V11)+nat(-2*V+2*V1+V4-V11+1)*16*nat(nat(V4+1)+ -2)*nat(-V+V1)+nat(-2*V+2*V1+V4-V11+1)*64*nat(nat(V4+1)+ -1)*nat(-V+V1)+nat(-2*V+2*V1+V4-V11+1)*66*nat(-V+V1)+nat(-2*V+2*V1+V4-V11+1)*16*nat(V4-V11)+nat(V4-V11)*52+nat(V4-V11)*16*nat(V11)+nat(V4-V11)*16*nat(nat(V4+1)+ -2)*nat(-V+V1)+nat(V4-V11)*64*nat(nat(V4+1)+ -1)*nat(-V+V1)+nat(V4-V11)*66*nat(-V+V1)+nat(V4-V11)*16*nat(V4-V11)+nat(-V+V1+V4-V11)*2
- Complexity: n^5
* Chain [67] with precondition: [V=1]
- Upper bound: nat(V1)*106+75+nat(V1)*48*nat(V1)+nat(V4)*1132+nat(V4)*430*nat(V4)+nat(V4)*88*nat(V11)+nat(V4)*80*nat(nat(V11+1)+ -2)*nat(V4)+nat(V4)*320*nat(nat(V11+1)+ -1)*nat(V4)+nat(V4)*8*nat(2*V11)+nat(V4)*100*nat(-V1+V4)+nat(V4)*8*nat(2*V11+V16)+nat(V4)*16*nat(2*V11+1)+nat(V11)*867+nat(V11)*759*nat(V4)+nat(V11)*88*nat(V4)*nat(V4)+nat(V11)*388*nat(V4)*nat(V11)+nat(V11)*88*nat(V4)*nat(nat(V11+1)+ -2)*nat(V4)+nat(V11)*792*nat(V4)*nat(nat(V11+1)+ -1)*nat(V4)+nat(V11)*48*nat(V4)*nat(2*V11)+nat(V11)*32*nat(V4)*nat(3*V11)+nat(V11)*264*nat(V4)*nat(V11+1)*nat(V4)+nat(V11)*88*nat(V4)*nat(2*V4+V11)+nat(V11)*176*nat(V4)*nat(2*V4+V11)*nat(V4)+nat(V11)*24*nat(V4)*nat(2*V11+V16)+nat(V11)*48*nat(V4)*nat(2*V11+1)+nat(V11)*16*nat(V4)*nat(3*V11+V16)+nat(V11)*16*nat(V4)*nat(3*V11+1)+nat(V11)*572*nat(V11)+nat(V11)*172*nat(V11)*nat(-V1+V4)+nat(V11)*252*nat(nat(V11+1)+ -2)*nat(V4)+nat(V11)*156*nat(nat(V11+1)+ -2)*nat(-V1+V4)+nat(V11)*1008*nat(nat(V11+1)+ -1)*nat(V4)+nat(V11)*624*nat(nat(V11+1)+ -1)*nat(-V1+V4)+nat(V11)*624*nat(nat(V11+1)+ -1)*nat(-V1+V4)*nat(-V1+V4)+nat(V11)*44*nat(2*V11)+nat(V11)*64*nat(V11+V16)+nat(V11)*64*nat(V11+V16)*nat(-V1+V4)+nat(V11)*8*nat(V11+1)+nat(V11)*104*nat(V11+1)*nat(-V1+V4)+nat(V11)*312*nat(V11+1)*nat(-V1+V4)*nat(-V1+V4)+nat(V11)*552*nat(-V1+V4)+nat(V11)*24*nat(-V1+V4)*nat(nat(V11+1)+ -2)*nat(-V1+V4)+nat(V11)*72*nat(-V1+V4)*nat(nat(V11+1)+ -1)*nat(-V1+V4)+nat(V11)*24*nat(-V1+V4)*nat(2*V11)+nat(V11)*24*nat(-V1+V4)*nat(-V1+V4)+nat(V11)*16*nat(-V1+V4)*nat(-2*V1+2*V4)+nat(V11)*8*nat(-V1+V4)*nat(2*V11+1)+nat(V11)*8*nat(-V1+V4)*nat(-2*V1+2*V4+V11)+nat(V11)*48*nat(-V1+V4)*nat(-2*V1+2*V4+V11)*nat(-V1+V4)+nat(V11)*32*nat(2*V11+V16)+nat(V11)*64*nat(2*V11+1)+nat(V11)*24*nat(2*V11+1)*nat(-V1+V4)+nat(V11)*8*nat(-V1+V4+V11)+nat(V11)*8*nat(-V1+V4+V11)*nat(-V1+V4)+nat(V16)*250+nat(V16)*120*nat(V16)+nat(nat(V11+1)+ -2)*260*nat(V4)+nat(nat(V11+1)+ -2)*330*nat(V4)*nat(V4)+nat(nat(V11+1)+ -2)*88*nat(V4)*nat(V11)+nat(nat(V11+1)+ -2)*80*nat(V4)*nat(nat(V11+1)+ -2)*nat(V4)+nat(nat(V11+1)+ -2)*320*nat(V4)*nat(nat(V11+1)+ -1)*nat(V4)+nat(nat(V11+1)+ -2)*8*nat(V4)*nat(2*V11)+nat(nat(V11+1)+ -2)*8*nat(V4)*nat(2*V11+V16)+nat(nat(V11+1)+ -2)*16*nat(V4)*nat(2*V11+1)+nat(nat(V11+1)+ -2)*316*nat(-V1+V4)+nat(nat(V11+1)+ -2)*72*nat(-V1+V4)*nat(V11)+nat(nat(V11+1)+ -2)*32*nat(-V1+V4)*nat(V11)*nat(-V1+V4)+nat(nat(V11+1)+ -2)*80*nat(-V1+V4)*nat(nat(V11+1)+ -2)*nat(-V1+V4)+nat(nat(V11+1)+ -2)*320*nat(-V1+V4)*nat(nat(V11+1)+ -1)*nat(-V1+V4)+nat(nat(V11+1)+ -2)*224*nat(-V1+V4)*nat(nat(V11+1)+ -1)*nat(-V1+V4)*nat(-V1+V4)+nat(nat(V11+1)+ -2)*16*nat(-V1+V4)*nat(2*V11)+nat(nat(V11+1)+ -2)*16*nat(-V1+V4)*nat(V11+V16)+nat(nat(V11+1)+ -2)*16*nat(-V1+V4)*nat(V11+V16)*nat(-V1+V4)+nat(nat(V11+1)+ -2)*8*nat(-V1+V4)*nat(V11+1)+nat(nat(V11+1)+ -2)*72*nat(-V1+V4)*nat(V11+1)*nat(-V1+V4)+nat(nat(V11+1)+ -2)*112*nat(-V1+V4)*nat(V11+1)*nat(-V1+V4)*nat(-V1+V4)+nat(nat(V11+1)+ -2)*330*nat(-V1+V4)*nat(-V1+V4)+nat(nat(V11+1)+ -2)*16*nat(-V1+V4)*nat(2*V11+1)*nat(-V1+V4)+nat(nat(V11+1)+ -2)*8*nat(-V1+V4)*nat(-V1+V4+V11)+nat(nat(V11+1)+ -2)*8*nat(-V1+V4)*nat(-V1+V4+V11)*nat(-V1+V4)+nat(nat(V11+1)+ -2)*8*nat(-V1+V4)*nat(-2*V1+2*V4+V11)+nat(nat(V11+1)+ -2)*8*nat(-V1+V4)*nat(-2*V1+2*V4+V11)*nat(-V1+V4)+nat(nat(V1)+ -1)*16*nat(V1)+nat(nat(V11)+ -1)*40*nat(V11)+nat(nat(V11)+ -1+nat(nat(V11+1)+ -1)*4*nat(-V1+V4)+nat(V11+1)*2*nat(-V1+V4)+nat(2*V11+1)*2)*4*nat(V11)+nat(nat(V11)+ -1+nat(nat(V11+1)+ -1)*4*nat(-V1+V4)+nat(V11+1)*2*nat(-V1+V4)+nat(2*V11+1)*2)*4*nat(V11)*nat(-V1+V4)+nat(nat(V11)+ -1+nat(nat(V11+1)+ -1)*4*nat(-V1+V4)+nat(V11+1)*2*nat(-V1+V4)+nat(2*V11+1)*2)*4*nat(nat(V11+1)+ -2)*nat(-V1+V4)+nat(nat(V11)+ -1+nat(nat(V11+1)+ -1)*4*nat(-V1+V4)+nat(V11+1)*2*nat(-V1+V4)+nat(2*V11+1)*2)*16*nat(nat(V11+1)+ -1)*nat(-V1+V4)+nat(nat(V11)+ -1+nat(nat(V11+1)+ -1)*4*nat(-V1+V4)+nat(V11+1)*2*nat(-V1+V4)+nat(2*V11+1)*2)*16*nat(nat(V11+1)+ -1)*nat(-V1+V4)*nat(-V1+V4)+nat(nat(V11)+ -1+nat(nat(V11+1)+ -1)*4*nat(-V1+V4)+nat(V11+1)*2*nat(-V1+V4)+nat(2*V11+1)*2)*4*nat(2*V11)+nat(nat(V11)+ -1+nat(nat(V11+1)+ -1)*4*nat(-V1+V4)+nat(V11+1)*2*nat(-V1+V4)+nat(2*V11+1)*2)*8*nat(V11+1)*nat(-V1+V4)*nat(-V1+V4)+nat(nat(V11)+ -1+nat(nat(V11+1)+ -1)*4*nat(-V1+V4)+nat(V11+1)*2*nat(-V1+V4)+nat(2*V11+1)*2)*8*nat(2*V11+1)*nat(-V1+V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(2*V11)+nat(V11+1)*2*nat(V4))*4*nat(V11)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(2*V11)+nat(V11+1)*2*nat(V4))*8*nat(V11)*nat(V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(2*V11)+nat(V11+1)*2*nat(V4))*4*nat(nat(V11+1)+ -2)*nat(V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(2*V11)+nat(V11+1)*2*nat(V4))*16*nat(nat(V11+1)+ -1)*nat(V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(2*V11)+nat(V11+1)*2*nat(V4))*16*nat(nat(V11+1)+ -1)*nat(V4)*nat(V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(2*V11)+nat(V11+1)*2*nat(V4))*4*nat(2*V11)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(2*V11)+nat(V11+1)*2*nat(V4))*4*nat(2*V11)*nat(V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(2*V11)+nat(V11+1)*2*nat(V4))*8*nat(V11+1)*nat(V4)*nat(V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(V11+1)*2*nat(V4)+nat(2*V11+V16))*4*nat(V11)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(V11+1)*2*nat(V4)+nat(2*V11+V16))*8*nat(V11)*nat(V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(V11+1)*2*nat(V4)+nat(2*V11+V16))*4*nat(nat(V11+1)+ -2)*nat(V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(V11+1)*2*nat(V4)+nat(2*V11+V16))*16*nat(nat(V11+1)+ -1)*nat(V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(V11+1)*2*nat(V4)+nat(2*V11+V16))*16*nat(nat(V11+1)+ -1)*nat(V4)*nat(V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(V11+1)*2*nat(V4)+nat(2*V11+V16))*8*nat(V11+1)*nat(V4)*nat(V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(V11+1)*2*nat(V4)+nat(2*V11+V16))*4*nat(2*V11+V16)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(V11+1)*2*nat(V4)+nat(2*V11+V16))*4*nat(2*V11+V16)*nat(V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(V11+1)*2*nat(V4)+nat(2*V11+1))*8*nat(V11)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(V11+1)*2*nat(V4)+nat(2*V11+1))*16*nat(V11)*nat(V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(V11+1)*2*nat(V4)+nat(2*V11+1))*8*nat(nat(V11+1)+ -2)*nat(V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(V11+1)*2*nat(V4)+nat(2*V11+1))*32*nat(nat(V11+1)+ -1)*nat(V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(V11+1)*2*nat(V4)+nat(2*V11+1))*32*nat(nat(V11+1)+ -1)*nat(V4)*nat(V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(V11+1)*2*nat(V4)+nat(2*V11+1))*16*nat(V11+1)*nat(V4)*nat(V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(V11+1)*2*nat(V4)+nat(2*V11+1))*8*nat(2*V11+1)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(V4)+nat(V11+1)*2*nat(V4)+nat(2*V11+1))*8*nat(2*V11+1)*nat(V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(-V1+V4)+nat(V11+V16)+nat(V11+1)*2*nat(-V1+V4))*8*nat(V11)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(-V1+V4)+nat(V11+V16)+nat(V11+1)*2*nat(-V1+V4))*16*nat(V11)*nat(-V1+V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(-V1+V4)+nat(V11+V16)+nat(V11+1)*2*nat(-V1+V4))*8*nat(nat(V11+1)+ -2)*nat(-V1+V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(-V1+V4)+nat(V11+V16)+nat(V11+1)*2*nat(-V1+V4))*32*nat(nat(V11+1)+ -1)*nat(-V1+V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(-V1+V4)+nat(V11+V16)+nat(V11+1)*2*nat(-V1+V4))*32*nat(nat(V11+1)+ -1)*nat(-V1+V4)*nat(-V1+V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(-V1+V4)+nat(V11+V16)+nat(V11+1)*2*nat(-V1+V4))*8*nat(V11+V16)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(-V1+V4)+nat(V11+V16)+nat(V11+1)*2*nat(-V1+V4))*8*nat(V11+V16)*nat(-V1+V4)+nat(nat(V11)*2+ -1+nat(nat(V11+1)+ -1)*4*nat(-V1+V4)+nat(V11+V16)+nat(V11+1)*2*nat(-V1+V4))*16*nat(V11+1)*nat(-V1+V4)*nat(-V1+V4)+nat(nat(V11)*3+ -1+nat(nat(V11+1)+ 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-1)*nat(-V1+V4)*nat(-V1+V4)+nat(-V1+V4)*48*nat(2*V11)+nat(-V1+V4)*16*nat(V11+V16)+nat(-V1+V4)*16*nat(V11+V16)*nat(-V1+V4)+nat(-V1+V4)*8*nat(V11+1)+nat(-V1+V4)*72*nat(V11+1)*nat(-V1+V4)+nat(-V1+V4)*112*nat(V11+1)*nat(-V1+V4)*nat(-V1+V4)+nat(-V1+V4)*362*nat(-V1+V4)+nat(-V1+V4)*32*nat(-2*V1+2*V4)+nat(-V1+V4)*16*nat(2*V11+1)*nat(-V1+V4)+nat(-V1+V4)*8*nat(-V1+V4+V11)+nat(-V1+V4)*8*nat(-V1+V4+V11)*nat(-V1+V4)+nat(-V1+V4)*8*nat(-2*V1+2*V4+V11)+nat(-V1+V4)*72*nat(-2*V1+2*V4+V11)*nat(-V1+V4)+nat(-2*V1+2*V4)*2+nat(-2*V1+2*V4)*16*nat(V11)+nat(-2*V1+2*V4)*16*nat(nat(V11+1)+ -2)*nat(-V1+V4)+nat(-2*V1+2*V4)*64*nat(nat(V11+1)+ -1)*nat(-V1+V4)+nat(-2*V1+2*V4)*66*nat(-V1+V4)+nat(2*V4+V11)*10+nat(2*V4+V11)*350*nat(V4)+nat(2*V4+V11)*660*nat(V4)*nat(V4)+nat(2*V4+V11)*176*nat(V4)*nat(V11)+nat(2*V4+V11)*160*nat(V4)*nat(nat(V11+1)+ -2)*nat(V4)+nat(2*V4+V11)*640*nat(V4)*nat(nat(V11+1)+ -1)*nat(V4)+nat(2*V4+V11)*16*nat(V4)*nat(2*V11)+nat(2*V4+V11)*16*nat(V4)*nat(2*V11+V16)+nat(2*V4+V11)*32*nat(V4)*nat(2*V11+1)+nat(2*V4+V11)*88*nat(V11)+nat(2*V4+V11)*80*nat(nat(V11+1)+ -2)*nat(V4)+nat(2*V4+V11)*320*nat(nat(V11+1)+ -1)*nat(V4)+nat(2*V4+V11)*8*nat(2*V11)+nat(2*V4+V11)*8*nat(2*V11+V16)+nat(2*V4+V11)*16*nat(2*V11+1)+nat(2*V11+V16)*55+nat(2*V11+V16)*24*nat(V4)+nat(2*V11+V16)*8*nat(V4)*nat(V4)+nat(2*V11+V16)*32*nat(V4)*nat(V11)+nat(2*V11+V16)*8*nat(V4)*nat(nat(V11+1)+ -2)*nat(V4)+nat(2*V11+V16)*72*nat(V4)*nat(nat(V11+1)+ -1)*nat(V4)+nat(2*V11+V16)*24*nat(V4)*nat(V11+1)*nat(V4)+nat(2*V11+V16)*8*nat(V4)*nat(2*V4+V11)+nat(2*V11+V16)*16*nat(V4)*nat(2*V4+V11)*nat(V4)+nat(2*V11+V16)*12*nat(V4)*nat(2*V11+V16)+nat(2*V11+V16)*8*nat(V4)*nat(3*V11+V16)+nat(2*V11+V16)*28*nat(V11)+nat(2*V11+V16)*32*nat(V11)*nat(-V1+V4)+nat(2*V11+V16)*12*nat(nat(V11+1)+ -2)*nat(V4)+nat(2*V11+V16)*16*nat(nat(V11+1)+ -2)*nat(-V1+V4)+nat(2*V11+V16)*48*nat(nat(V11+1)+ -1)*nat(V4)+nat(2*V11+V16)*64*nat(nat(V11+1)+ -1)*nat(-V1+V4)+nat(2*V11+V16)*64*nat(nat(V11+1)+ -1)*nat(-V1+V4)*nat(-V1+V4)+nat(2*V11+V16)*56*nat(V11+V16)+nat(2*V11+V16)*16*nat(V11+V16)*nat(-V1+V4)+nat(2*V11+V16)*32*nat(V11+1)*nat(-V1+V4)*nat(-V1+V4)+nat(2*V11+V16)*66*nat(-V1+V4)+nat(2*V11+V16)*12*nat(2*V11+V16)+nat(2*V11+1)*188+nat(2*V11+1)*48*nat(V4)+nat(2*V11+1)*16*nat(V4)*nat(V4)+nat(2*V11+1)*64*nat(V4)*nat(V11)+nat(2*V11+1)*16*nat(V4)*nat(nat(V11+1)+ -2)*nat(V4)+nat(2*V11+1)*144*nat(V4)*nat(nat(V11+1)+ -1)*nat(V4)+nat(2*V11+1)*8*nat(V4)*nat(3*V11)+nat(2*V11+1)*48*nat(V4)*nat(V11+1)*nat(V4)+nat(2*V11+1)*16*nat(V4)*nat(2*V4+V11)+nat(2*V11+1)*32*nat(V4)*nat(2*V4+V11)*nat(V4)+nat(2*V11+1)*24*nat(V4)*nat(2*V11+1)+nat(2*V11+1)*8*nat(V4)*nat(3*V11+1)+nat(2*V11+1)*104*nat(V11)+nat(2*V11+1)*24*nat(V11)*nat(-V1+V4)+nat(2*V11+1)*24*nat(nat(V11+1)+ -2)*nat(V4)+nat(2*V11+1)*72*nat(nat(V11+1)+ -2)*nat(-V1+V4)+nat(2*V11+1)*96*nat(nat(V11+1)+ -1)*nat(V4)+nat(2*V11+1)*288*nat(nat(V11+1)+ -1)*nat(-V1+V4)+nat(2*V11+1)*256*nat(nat(V11+1)+ -1)*nat(-V1+V4)*nat(-V1+V4)+nat(2*V11+1)*64*nat(2*V11)+nat(2*V11+1)*48*nat(V11+1)+nat(2*V11+1)*24*nat(V11+1)*nat(-V1+V4)+nat(2*V11+1)*128*nat(V11+1)*nat(-V1+V4)*nat(-V1+V4)+nat(2*V11+1)*195*nat(-V1+V4)+nat(2*V11+1)*16*nat(-V1+V4)*nat(nat(V11+1)+ -2)*nat(-V1+V4)+nat(2*V11+1)*48*nat(-V1+V4)*nat(nat(V11+1)+ -1)*nat(-V1+V4)+nat(2*V11+1)*16*nat(-V1+V4)*nat(2*V11)+nat(2*V11+1)*16*nat(-V1+V4)*nat(-V1+V4)+nat(2*V11+1)*16*nat(-V1+V4)*nat(2*V11+1)+nat(2*V11+1)*16*nat(-V1+V4)*nat(-2*V1+2*V4+V11)+nat(2*V11+1)*32*nat(-V1+V4)*nat(-2*V1+2*V4+V11)*nat(-V1+V4)+nat(2*V11+1)*24*nat(2*V11+1)+nat(2*V11+1)*112*nat(2*V11+1)*nat(-V1+V4)+nat(2*V11+1)*32*nat(-2*V1+2*V4+V11)+nat(2*V11+1)*32*nat(-2*V1+2*V4+V11)*nat(-V1+V4)+nat(2*V11+2)*67+nat(2*V11+3)*14+nat(3*V11+V16)*33*nat(V4)+nat(3*V11+V16)*8*nat(V11)+nat(3*V11+V16)*8*nat(nat(V11+1)+ -2)*nat(V4)+nat(3*V11+V16)*32*nat(nat(V11+1)+ -1)*nat(V4)+nat(3*V11+V16)*8*nat(2*V11+V16)+nat(3*V11+1)*33*nat(V4)+nat(3*V11+1)*8*nat(V11)+nat(3*V11+1)*8*nat(nat(V11+1)+ -2)*nat(V4)+nat(3*V11+1)*32*nat(nat(V11+1)+ -1)*nat(V4)+nat(3*V11+1)*8*nat(2*V11+1)+nat(V1+V4+1)*10+nat(V11+V16+1)*75+nat(V11+V16+2)*25+nat(-V1+V4+V11)*36+nat(-V1+V4+V11)*12*nat(V11)+nat(-V1+V4+V11)*12*nat(nat(V11+1)+ -2)*nat(-V1+V4)+nat(-V1+V4+V11)*48*nat(nat(V11+1)+ -1)*nat(-V1+V4)+nat(-V1+V4+V11)*48*nat(nat(V11+1)+ -1)*nat(-V1+V4)*nat(-V1+V4)+nat(-V1+V4+V11)*24*nat(V11+1)*nat(-V1+V4)+nat(-V1+V4+V11)*24*nat(V11+1)*nat(-V1+V4)*nat(-V1+V4)+nat(-V1+V4+V11)*34*nat(-V1+V4)+nat(-V1+V4+V11)*12*nat(-V1+V4+V11)+nat(-V1+V4+V11)*12*nat(-V1+V4+V11)*nat(-V1+V4)+nat(-V1+V4+2*V11)+nat(-V1+V4+2*V11)*8*nat(V11)+nat(-V1+V4+2*V11)*8*nat(nat(V11+1)+ -2)*nat(-V1+V4)+nat(-V1+V4+2*V11)*32*nat(nat(V11+1)+ -1)*nat(-V1+V4)+nat(-V1+V4+2*V11)*32*nat(nat(V11+1)+ -1)*nat(-V1+V4)*nat(-V1+V4)+nat(-V1+V4+2*V11)*16*nat(V11+1)*nat(-V1+V4)+nat(-V1+V4+2*V11)*16*nat(V11+1)*nat(-V1+V4)*nat(-V1+V4)+nat(-V1+V4+2*V11)*33*nat(-V1+V4)+nat(-V1+V4+2*V11)*8*nat(-V1+V4+V11)+nat(-V1+V4+2*V11)*8*nat(-V1+V4+V11)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*33+nat(-2*V1+2*V4+V11)*56*nat(V11)+nat(-2*V1+2*V4+V11)*32*nat(V11)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*68*nat(nat(V11+1)+ -2)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*272*nat(nat(V11+1)+ -1)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*240*nat(nat(V11+1)+ -1)*nat(-V1+V4)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*20*nat(2*V11)+nat(-2*V1+2*V4+V11)*16*nat(V11+V16)+nat(-2*V1+2*V4+V11)*16*nat(V11+V16)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*8*nat(V11+1)+nat(-2*V1+2*V4+V11)*72*nat(V11+1)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*120*nat(V11+1)*nat(-V1+V4)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*275*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*144*nat(-V1+V4)*nat(V11)+nat(-2*V1+2*V4+V11)*64*nat(-V1+V4)*nat(V11)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*160*nat(-V1+V4)*nat(nat(V11+1)+ -2)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*640*nat(-V1+V4)*nat(nat(V11+1)+ -1)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*448*nat(-V1+V4)*nat(nat(V11+1)+ -1)*nat(-V1+V4)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*32*nat(-V1+V4)*nat(2*V11)+nat(-2*V1+2*V4+V11)*32*nat(-V1+V4)*nat(V11+V16)+nat(-2*V1+2*V4+V11)*32*nat(-V1+V4)*nat(V11+V16)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*16*nat(-V1+V4)*nat(V11+1)+nat(-2*V1+2*V4+V11)*144*nat(-V1+V4)*nat(V11+1)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*224*nat(-V1+V4)*nat(V11+1)*nat(-V1+V4)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*660*nat(-V1+V4)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*32*nat(-V1+V4)*nat(2*V11+1)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*16*nat(-V1+V4)*nat(-V1+V4+V11)+nat(-2*V1+2*V4+V11)*16*nat(-V1+V4)*nat(-V1+V4+V11)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*16*nat(-V1+V4)*nat(-2*V1+2*V4+V11)+nat(-2*V1+2*V4+V11)*16*nat(-V1+V4)*nat(-2*V1+2*V4+V11)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*24*nat(2*V11+1)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*8*nat(-V1+V4+V11)+nat(-2*V1+2*V4+V11)*8*nat(-V1+V4+V11)*nat(-V1+V4)+nat(-2*V1+2*V4+V11)*12*nat(-2*V1+2*V4+V11)+nat(-2*V1+2*V4+V11)*12*nat(-2*V1+2*V4+V11)*nat(-V1+V4)+nat(-2*V1+2*V4+2*V11)+nat(-2*V1+2*V4+2*V11)*8*nat(nat(V11+1)+ -2)*nat(-V1+V4)+nat(-2*V1+2*V4+2*V11)*32*nat(nat(V11+1)+ -1)*nat(-V1+V4)+nat(-2*V1+2*V4+2*V11)*32*nat(nat(V11+1)+ -1)*nat(-V1+V4)*nat(-V1+V4)+nat(-2*V1+2*V4+2*V11)*8*nat(2*V11)+nat(-2*V1+2*V4+2*V11)*16*nat(V11+1)*nat(-V1+V4)*nat(-V1+V4)+nat(-2*V1+2*V4+2*V11)*33*nat(-V1+V4)+nat(-2*V1+2*V4+2*V11)*16*nat(2*V11+1)*nat(-V1+V4)+nat(-2*V1+2*V4+2*V11)*8*nat(-2*V1+2*V4+V11)+nat(-2*V1+2*V4+2*V11)*8*nat(-2*V1+2*V4+V11)*nat(-V1+V4)+nat(2*V11+V16+1)*39+nat(2*V11+V16+2)*14+nat(-V1+V4+V11+1)
- Complexity: n^5
* Chain [66] with precondition: [V=2,V1>=0,V4>=0]
- Upper bound: 2*V4+2
- Complexity: n
* Chain [65] with precondition: [V1=0,V>=0]
- Upper bound: 3
- Complexity: constant
* Chain [64] with precondition: [V1=1,V>=0,V4>=0]
- Upper bound: 6
- Complexity: constant

### Maximum cost of start(V,V1,V4,V11,V16): max([4,nat(V1)*106+64+nat(V1)*48*nat(V1)+nat(V4)*270+nat(V4)*144*nat(V4)+nat(V11)*252+nat(V11)*120*nat(V11)+nat(nat(V11)+ -1)*32*nat(V11)+nat(V1+V4)*56+nat(V1+V4)*32*nat(V1)+nat(V1+1)*38+nat(V1+2)*2+nat(V4+V11)*10+nat(V4+V11)*10*nat(V4)+nat(V4+1)*53+nat(V4+2)*34+nat(2*V4+V11)*16*nat(V4)+max([nat(V4)*860+9+nat(V4)*286*nat(V4)+nat(V4)*88*nat(V11)+nat(V4)*80*nat(nat(V11+1)+ -2)*nat(V4)+nat(V4)*320*nat(nat(V11+1)+ -1)*nat(V4)+nat(V4)*8*nat(2*V11)+nat(V4)*100*nat(-V1+V4)+nat(V4)*8*nat(2*V11+V16)+nat(V4)*16*nat(2*V11+1)+nat(V11)*615+nat(V11)*759*nat(V4)+nat(V11)*88*nat(V4)*nat(V4)+nat(V11)*388*nat(V4)*nat(V11)+nat(V11)*88*nat(V4)*nat(nat(V11+1)+ -2)*nat(V4)+nat(V11)*792*nat(V4)*nat(nat(V11+1)+ 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-2)*nat(V1)+nat(2*V4+1)*288*nat(V1)*nat(nat(V4+1)+ -1)*nat(V1)+nat(2*V4+1)*32*nat(V1)*nat(2*V4)+nat(2*V4+1)*48*nat(V1)*nat(V1+V4)+nat(2*V4+1)*32*nat(V1)*nat(V1+2*V4)+nat(2*V4+1)*96*nat(V1)*nat(V4+1)*nat(V1)+nat(2*V4+1)*64*nat(V1)*nat(2*V1+V4)*nat(V1)+nat(2*V4+1)*32*nat(V1)*nat(2*V1+2*V4)+nat(2*V4+1)*96*nat(V1)*nat(2*V4+1)+nat(2*V4+1)*48*nat(nat(V4+1)+ -2)*nat(V1)+nat(2*V4+1)*192*nat(nat(V4+1)+ -1)*nat(V1)+nat(2*V4+1)*48*nat(2*V4)+nat(2*V4+1)*48*nat(V1+V4)+nat(V+V1+1)*15+nat(V+V1+2)*5+nat(V4+V11+1)*60+nat(V4+V11+2)*20+nat(-V+V1+V4)*2*nat(-V+V1)+nat(-2*V+2*V1+V4)*4*nat(-V+V1)+nat(-2*V+2*V1+V4)*32*nat(-V+V1)*nat(V11)+nat(-2*V+2*V1+V4)*32*nat(-V+V1)*nat(nat(V4+1)+ -2)*nat(-V+V1)+nat(-2*V+2*V1+V4)*128*nat(-V+V1)*nat(nat(V4+1)+ -1)*nat(-V+V1)+nat(-2*V+2*V1+V4)*132*nat(-V+V1)*nat(-V+V1)+nat(-2*V+2*V1+V4)*32*nat(-V+V1)*nat(V4-V11)+nat(2*V+V1+1)+nat(2*V+V1+1)*33*V+nat(2*V+V1+1)*8*nat(V1)+nat(2*V+V1+1)*8*nat(nat(V1+1)+ -2)*V+nat(2*V+V1+1)*32*nat(nat(V1+1)+ -1)*V+nat(V4-V11+1)*48*nat(V11)+nat(V4-V11+1)*48*nat(V11)*nat(-V+V1)+nat(V4-V11+1)*48*nat(nat(V4+1)+ -2)*nat(-V+V1)+nat(V4-V11+1)*192*nat(nat(V4+1)+ -1)*nat(-V+V1)+nat(V4-V11+1)*192*nat(nat(V4+1)+ -1)*nat(-V+V1)*nat(-V+V1)+nat(V4-V11+1)*96*nat(V4+1)*nat(-V+V1)*nat(-V+V1)+nat(V4-V11+1)*96*nat(-V+V1)+nat(V4-V11+1)*32*nat(-V+V1)*nat(nat(V4+1)+ -2)*nat(-V+V1)+nat(V4-V11+1)*96*nat(-V+V1)*nat(nat(V4+1)+ -1)*nat(-V+V1)+nat(V4-V11+1)*32*nat(-V+V1)*nat(V4+V11)+nat(V4-V11+1)*32*nat(-V+V1)*nat(-V+V1)+nat(V4-V11+1)*64*nat(-V+V1)*nat(-2*V+2*V1+V4)*nat(-V+V1)+nat(V4-V11+1)*32*nat(-V+V1)*nat(-2*V+2*V1+V4-V11+1)+nat(V4-V11+1)*32*nat(-V+V1)*nat(V4-V11)+nat(V4-V11+1)*96*nat(V4-V11+1)*nat(-V+V1)+nat(V4-V11+1)*48*nat(V4-V11)+nat(-2*V+2*V1+V4-V11+1)*2+nat(-2*V+2*V1+V4-V11+1)*16*nat(V11)+nat(-2*V+2*V1+V4-V11+1)*16*nat(nat(V4+1)+ -2)*nat(-V+V1)+nat(-2*V+2*V1+V4-V11+1)*64*nat(nat(V4+1)+ -1)*nat(-V+V1)+nat(-2*V+2*V1+V4-V11+1)*66*nat(-V+V1)+nat(-2*V+2*V1+V4-V11+1)*16*nat(V4-V11)+nat(V4-V11)*52+nat(V4-V11)*16*nat(V11)+nat(V4-V11)*16*nat(nat(V4+1)+ -2)*nat(-V+V1)+nat(V4-V11)*64*nat(nat(V4+1)+ -1)*nat(-V+V1)+nat(V4-V11)*66*nat(-V+V1)+nat(V4-V11)*16*nat(V4-V11)+nat(-V+V1+V4-V11)*2])+nat(V4)*2])+2
Asymptotic class: n^5
* Total analysis performed in 53722 ms.

(10) BOUNDS(1, n^5)