Thomson $N=7$: certificate data for slab 5 ($-\tfrac{93}{100}\le t_{01}\le-\tfrac{9}{10}$), part 2 of 2

import Definitions.Def_ThomsonN7_slab_s93_90_data_1

/-!
# Thomson problem for N = 7 (and the D3h stretch target for N = 9)

Minimise the Coulomb energy `E(x) = ∑_{i<j} 1 / ‖x i - x j‖` over configurations of `N` pairwise
distinct points on the unit sphere `S² ⊂ ℝ³`.

* `N = 7`: the unique minimiser (up to `O(3)` and relabelling) is the regular pentagonal bipyramid,
  with `E = 1/2 + 5√2 + 5/(2 sin(π/5)) + 5/(2 sin(2π/5)) = 14.452977414…`.
* `N = 9`: the (numerically known) minimiser is the D3h tricapped trigonal prism, which has one free
  parameter `z` (the height of the two triangular faces); numerically `z ≈ 0.70365`,
  `E ≈ 25.759986531`.
-/

open Real

namespace ThomsonN7

/-! ## Auxiliary facts (already proved; they show the definitions are well-posed) -/

/- BEGIN M0 -/
namespace Base

open Finset

/-! ### Invariance -/

/-! ### Gram values of the pentagonal bipyramid -/

end Base
/- END M0 -/

/- BEGIN M1 -/
namespace ThreePoint

open Finset Matrix
open scoped RealInnerProductSpace

/-! # Bachoc–Vallentin three-point positivity on `S²` (any block size, any `k`)

`Q3 k u v t = ((1-u²)(1-v²))^{k/2} T_k((t-uv)/√((1-u²)(1-v²)))` via the Chebyshev recursion.
-/

/-! ### Addition theorem (de Moivre) -/

/-! ### Combinatorics of ordered triple sums -/

section Comb

variable {n : ℕ}

end Comb

section Comb2

variable {n : ℕ}

end Comb2

section Comb3

variable {n : ℕ}

end Comb3

section Comb4

variable {n : ℕ}

end Comb4

section Final

variable {n : ℕ}

end Final

/-! ### The kernels at the diagonal `(1,1,1)` -/

section FinalZ

variable {n : ℕ}

end FinalZ

/- BEGIN M5 -/
section Critical

end Critical

section Critical

end Critical

section Critical

end Critical

section CriticalZ

variable {n : ℕ}

end CriticalZ

section CriticalZsym

variable {n : ℕ}

section Perm

variable (τ : Fin n → Fin n → ℝ) (hτ : ∀ i j, τ j i = τ i j) (f : ℝ → ℝ → ℝ → ℝ)

include hτ

end Perm

end CriticalZsym

section CriticalFinal

variable {n : ℕ}

end CriticalFinal

/- END M5 -/

end ThreePoint

/- BEGIN CERT3 -/

/-!
# Kronecker-substitution checking of polynomial identities

A polynomial `e : Ex` in three variables `u, v, t` with integer coefficients is given as an
expression tree.  To prove `∀ u v t : ℝ, e(u,v,t) = 0` it suffices to check, with kernel
(GMP) integer arithmetic, that
* every exponent of every variable is `< D`,
* the `ℓ¹`-norm of the (uncollected) coefficients is `< 2^w`,
* the value of `e` at the integers `u = 2^w`, `v = 2^(w D)`, `t = 2^(w D²)` is `0`.
-/

namespace Kron

namespace Ex

end Ex

namespace Ex

end Ex

open Ex

end Kron

/-! ## Builders for `Ex` with evaluation lemmas -/

namespace Kron
namespace Ex

variable (u v t : ℝ)

/-! ### Substitution of variables by variables or `1` -/

end Ex
end Kron

/- BEGIN CERT1 -/
section Cert1Block

open Kron Kron.Ex

namespace Cert

open ThreePoint

/-! ## `Q_k` as a polynomial expression -/

/-! ## Quadratic forms: `L D Lᵀ` plus a diagonally dominant remainder -/

/-! ## Integer data of a positive semidefinite block -/

namespace Blk

end Blk

end Cert

end Cert1Block

/- BEGIN CERT3FILE -/
section Cert3Block

open Kron Kron.Ex

namespace Cert

open ThreePoint

/-! ## Helpers: zero-skipping scaling, monomial-preserving substitution -/

/-! ## The `F`-blocks: `Λ · Fp(u,v)` -/

/-! ## Block matrices and their quadratic forms -/

/-! ## Symmetrisation and the `F`-part of the identity -/

/-! ## SOS blocks with multipliers -/

/-! ## The certificate and its soundness -/

open scoped RealInnerProductSpace

namespace Cert3

end Cert3

namespace Cert3

end Cert3

namespace Cert3

end Cert3

end Cert

end Cert3Block

/- END CERT3 -/

/- BEGIN M2 -/
namespace M2

/-! ## The number field `ℚ(√2, 2 sin (π/5))` -/

namespace K8

/-! ### Rational enclosures and positivity of elements of `K8` -/

end K8

namespace K8

end K8

/-! ### Polynomials with `K8` coefficients: dense lists, lowest degree first -/

namespace Pl

end Pl

open Pl

end M2
/- END M2 -/

/- BEGIN M3 -/
namespace M3

open scoped InnerProductSpace

end M3

/- BEGIN P3ext -/

/-! ## P3: Bregman (Taylor) lower bounds for the Coulomb pair potential (agent7) -/

namespace Base

end Base

/- END P3ext -/

/- BEGIN P1 -/

/-! ## P1: the bipyramid is a critical point of the Coulomb energy on the constraint set (agent7) -/

namespace Reg

open Base

end Reg

/- END P1 -/

/- BEGIN GAUGE -/

/-! ## G: gauge (Procrustes) lemma `exists_gauge` (agent7) -/

namespace Reg

open scoped RealInnerProductSpace

end Reg

/- END GAUGE -/

/- BEGIN P2 -/

/- BEGIN RegB (P2: exact energy identity; needs M0 = namespace Base and the Challenge preamble) -/
namespace RegB

open Base Finset

section vectors

variable (y : Fin 7 → R3)

end vectors

end RegB
/- END RegB -/

/- END P2 -/

/- BEGIN GV -/

namespace GV

open Base

open scoped InnerProductSpace

end GV

/- END GV -/

/- BEGIN TWOREGIME -/

namespace TwoRegime

open scoped InnerProductSpace

end TwoRegime

namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

/- END TWOREGIME -/

/- BEGIN TR_D -/
namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

/- END TR_D -/

/- BEGIN TR_E -/
namespace ThreePoint

open Finset Matrix
open scoped RealInnerProductSpace

section FinalCut

variable {n : ℕ}

end FinalCut

end ThreePoint

namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

/- END TR_E -/

/- BEGIN TR_G -/
namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

/- BEGIN TR_G3 -/
namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime
/- END TR_G3 -/
/- BEGIN TR_G4 -/
namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime
/- END TR_G4 -/
/- END TR_G -/

/- BEGIN INTERFACES -/
namespace Interfaces

open Finset Base

end Interfaces
/- END INTERFACES -/

/- BEGIN GLUE -/
namespace Glue

open Finset Base Interfaces

end Glue
/- END GLUE -/

/- BEGIN TR_F -/
namespace EPBounds

open Real

end EPBounds
/- END TR_F -/
end ThomsonN7

section RegLocalSection
/- BEGIN REGLOCAL (agent7): perturbative strict local minimality of the pentagonal bipyramid.
   Splice AFTER Level1d (needs GAUGE = exists_gauge, P1/P3ext, Base, TwoRegime.LocalMinAt).
   Pieces in order: Loc1 (H, B3) | QCore1 (certificate defs/lemmas) | Q2 (expansion) | QCore2 (core) | Loc2 (glue). -/
open Real
open scoped RealInnerProductSpace
namespace ThomsonN7
/- BEGIN LOC1 (agent7): exact chart identity (H) and cubic Bregman lower bound (B3) in h = y - P.
   Splice AFTER the GAUGE block (needs P1, P3ext); compiles against Level1b.lean lines 1-3641. -/
namespace Reg
open Base

end Reg

/- END LOC1 -/

end ThomsonN7

/- BEGIN QCORE1 -/
namespace ThomsonN7
namespace Reg

end Reg
end ThomsonN7
/- END QCORE1 -/

/- BEGIN Q2 -/
open Real
open scoped RealInnerProductSpace
namespace ThomsonN7
namespace Reg
open Base

end Reg
end ThomsonN7

/- END Q2 -/

/- BEGIN QCORE2 -/
namespace ThomsonN7
namespace Reg

end Reg
end ThomsonN7
/- END QCORE2 -/

/- BEGIN LOC2 -/
open Real
open scoped RealInnerProductSpace
namespace ThomsonN7
namespace Reg
open Base

/-! ### The atom box for the penalised Hessian certificate -/

end Reg
end ThomsonN7

/- END LOC2 -/

namespace ThomsonN7
namespace Reg

end Reg

end ThomsonN7

/- END REGLOCAL -/
end RegLocalSection

/- BEGIN CASE1 -/
namespace ThomsonN7
namespace CutOneD

end CutOneD
end ThomsonN7

namespace ThomsonN7

namespace Case1Data
open ThomsonN7 ThomsonN7.Cert

end Case1Data

end ThomsonN7

namespace ThomsonN7
namespace Case1

open scoped InnerProductSpace
open ThomsonN7.Cert ThomsonN7.Cert.Cert3

/-! ### Chunked evaluation of the Kronecker check for `Case1Data.cf`

The identity expression `Case1Data.cf.idE` has about 147 000 nodes.  Evaluating `chk` on it in one
kernel call is correct but keeps every intermediate kernel term alive until the end of the
declaration.  Here the same check is split into separate declarations, one per piece of the
expression (`hE`, four `F`-blocks, eight `S`-blocks).  For every expression `e`, `c1Stat w D e`
computes, in one structural pass, the tuple `(ℓ¹-norm, deg u, deg v, deg t, Kronecker value)`
(`c1Stat_eq`).  The 13 pieces are evaluated by `decide +kernel` against exact literals, in 13
separate declarations; the statistics of `Case1Data.cf.idE` follow by the composition lemma
`c1Stat_idE` and closed arithmetic on the literals, and `chk` is then decided by its own definition
(`Nat.log2 ℓ¹ + 1 = 179`, `max deg + 1 = 11`, Kronecker value `0`).  The statement of `cf_ok` is
unchanged; the literals are data found by a program outside Lean and are only ever checked. -/

/-! The 13 pieces, each evaluated in its own declaration (`w = 179`, `D = 11`). -/

end Case1
end ThomsonN7

/- END CASE1 -/

/- BEGIN CASE2RED -/
namespace ThomsonN7
namespace Case1

section Case2Red

open scoped InnerProductSpace
open Base

end Case2Red

end Case1
end ThomsonN7
/- END CASE2RED -/

section Asm_Typed
open Finset Matrix
open scoped RealInnerProductSpace

namespace ThomsonN7
namespace ThreePoint

/-! # Typed (root-dependent) three-point bound

Every root `i` carries its own kernel `s i`; every pair `{i, j}` carries its own minorant `H i j`.
-/

section TypedRoot

end TypedRoot

section TypedComb

variable {n : ℕ}

end TypedComb

end ThreePoint
end ThomsonN7

end Asm_Typed

section Asm_Typed2
open Finset Matrix
open scoped RealInnerProductSpace

namespace ThomsonN7
namespace ThreePoint

/-! # Typed three-point bound with free pair shares

Each triple `{i, j, l}` receives a share `W i j l` of the pair function of `{i, j}` (and
similarly for the constant), so that the total over the triples containing a pair is prescribed.
-/

section TypedComb2

variable {n : ℕ}

end TypedComb2

end ThreePoint
end ThomsonN7

end Asm_Typed2

section Asm_Typed7
open Finset Matrix
open scoped RealInnerProductSpace

namespace ThomsonN7
namespace ThreePoint

section Sym

end Sym

/-! # The `n = 7` typed instance: two poles (indices `0, 1`) and five ring points (`2..6`) -/

section Typed7

end Typed7

end ThreePoint
end ThomsonN7

end Asm_Typed7

section Asm_T4
namespace ThomsonN7
namespace M6

/-! ### Integer interval arithmetic (exact, no rounding) -/

/-! ### Homogeneous Gram determinants and their interval enclosures -/

/-! ### Boxes, bisection and the two refutation checkers -/

end M6
end ThomsonN7

open scoped InnerProductSpace

namespace ThomsonN7
namespace T4

open M6

/-! ### Combinatorics of the ring: a 2-colouring of `K₅` without monochromatic triangle is a pentagon -/

/-! ### The ring colouring of a configuration -/

/-! ### The relabelling of the bipyramid -/

/-! ### Nominal Gram entries of the relabelled bipyramid -/

/-! ### Ring rigidity -/

end T4
end ThomsonN7

end Asm_T4

section Asm_Glue1
/-!
# Glue for the near-antipodal case (Case 2)

Abstract, numerics-independent assembly:

* `Glue.exists_minpair_perm`: every 7-configuration is a relabelling of one whose pair `(0,1)` has the
  smallest inner product;
* `Glue.RootedClaim`, `Glue.case2_of_rooted`, `Glue.seven_of_rooted`: the rooted claim implies both
  Challenge statements (through `Case1.seven_of_case2`);
* `Glue.rooted_of_cap_slabs`: a cap certificate plus finitely many slab certificates give the rooted
  claim;
* `Glue.slab_of_typed`, `Glue.cap_of_typed`: a typed pair-minorant bound gives the slab / cap claims
  (with the equality analysis through `M3.contact_rigidity`).
-/

namespace ThomsonN7
namespace Glue

section Rooted

open scoped InnerProductSpace
open Base

end Rooted

section Typed

open scoped InnerProductSpace
open Base

end Typed

end Glue
end ThomsonN7

end Asm_Glue1

section Asm_Glue2
/-!
# Glue for the near-sharp (tube) cap certificate, route S2

A typed pair-minorant bound `e <= sum_{i<j} H_cls(<y_i, y_j>)` which is only *near*-sharp
(`E(P) <= e + delta`) still gives the cap claim, provided

* the pair slacks `phi - H_cls` control the distance to the nodes (`slack <= delta` puts the inner
  product within `tau` of a node of its class);
* the tube rigidity `TubeRigid tau` (closeness of all 21 inner products to the class nodes gives a
  relabelling of the pentagonal bipyramid within `tau` in every Gram entry);
* the local statement `LocalGramA` holds on the window `tau` (Regime B).

The proof is: `E(y) <= E(P)` implies `sum of slacks <= delta`, hence every slack `<= delta`, hence the
tube, hence the window, hence the local statement.
-/

namespace ThomsonN7
namespace Glue

section Tube

open scoped InnerProductSpace
open Base

end Tube

end Glue
end ThomsonN7

end Asm_Glue2

section Asm_Glue2b
namespace ThomsonN7
namespace Glue
section TubeFromT4
open scoped RealInnerProductSpace

end TubeFromT4
end Glue
end ThomsonN7

end Asm_Glue2b

section Asm_Glue3
/-!
# Glue3: the typed three-point bound (`Typed7`) feeds the cap / slab glue (`Glue1`, `Glue2`)

`ThreePoint.typed7_bound` bounds `e` by the typed double sum `∑ i<j, H7 HA HB HC i j ⟪x i, x j⟫`.
Here we identify `H7` with the class selector `Glue.cls3` (poles are the indices `0, 1`) and
restate the bound in exactly the shape needed by `Glue.cap_of_typed`, `Glue.cap_of_typed_tube`
and `Glue.slab_of_typed`.
-/

namespace ThomsonN7
namespace Glue

section Bridge

open scoped InnerProductSpace
open Base

end Bridge

section Assembly

open scoped InnerProductSpace
open Base

end Assembly

end Glue
end ThomsonN7

end Asm_Glue3

section Asm_Glue4
/-!
# Glue4: the final interface (`CapSpec`, `SlabSpec`) and the assembly `seven_of_specs`

The near-sharp cap and the margin slabs are certified by *typed* three-point data
(`Typed7`): PSD blocks `FP FR`, class minorants `HA HB HC`, multipliers `ψBa ψCb`, constants
`cal cbe`, together with one-dimensional facts on the minorants.  `CapSpec a0` (resp.
`SlabSpec lo hi`) is the proposition "such data exist"; every certificate producer has to prove
one of these propositions and nothing else.  `seven_of_specs` is the assembly: a cap spec at
`a 0` and slab specs on `[a k, a (k+1)]` for `k < K`, with `a K ≥ -9/10`, give both Challenge
statements for `N = 7`.

The tube-rigidity hypothesis of the near-sharp cap and the local (Regime B) statement are
discharged here once and for all (`Glue.tubeRigid_of_le`, `Glue.localGramA_of_le`).
-/

namespace ThomsonN7
namespace Glue

section Final

open scoped InnerProductSpace
open Base

end Final

end Glue
end ThomsonN7

end Asm_Glue4

section Asm_EPEnc
/-!  agent9: 40-digit enclosure of the minimal energy `E(P)` (for the near-sharp cap route).  -/

namespace ThomsonN7
namespace Glue
section EPEnc
open Real

end EPEnc
end Glue
end ThomsonN7

end Asm_EPEnc

section Asm_Coerce
/-!
# One-dimensional facts for the typed cap / slab certificates (CoerceCert)

The typed three-point bound uses class minorants `H_cls ≤ phi` of the pair potential
`phi t = (√(2 - 2t))⁻¹`.  For a polynomial `H = Q / Dq` write `y = √(2 - 2t) / 2 ∈ (0, 1]`, so
`t = 1 - 2 y²`, `phi = 1 / (2 y)` and

  `phi t - H t = F(y) / (2 y Dq)`,   `F(y) = Dq - 2 y Q(1 - 2 y²)`,

a *polynomial* in `y` (no square roots, no sign case split).  Hence

* `H ≤ phi` on a `y`-interval is the polynomial inequality `F ≥ 0` (`PlainCert`);
* exact double contact at a rational node `y = p / q` is the factorisation `F = (q y - p)² G`
  (`Contact1`; two nodes: `Contact2`; simple contact at the boundary `y = 1`: `ContactA`), and
  `G ≥ g0 > 0` gives *coercivity*: `phi - H ≤ δ` forces `y` (hence `t`) close to the node.

Positivity of a polynomial on a rational `y`-interval is certified by exact Bernstein pieces
(`BPiece`), checked by list arithmetic in the kernel (no SDP data, no rounding).
-/

namespace ThomsonN7
namespace Glue
namespace Coerce

open CutOneD Base

/-! ## A. Polynomial helpers and Bernstein pieces -/

/-! ## B. The substitution `y = √(2 - 2t) / 2` -/

/-! ## C. Plain certificates: `H ≤ phi` on a `y`-interval -/

/-! ## D. Contact certificates with coercivity -/

/-! ## E. Shapes of the hypotheses `hA hB hC` of `cap_of_typed_tube7` and closeness of the nodes -/

end Coerce
end Glue
end ThomsonN7

end Asm_Coerce

section Asm_Coerce2
/-!
# Relaxed contact certificates (Coerce2)

`Coerce.Contact1` / `Contact2` need an *exact* double root of `F` at a rational node, which integer
SDP data cannot provide.  Here the factorisation is relaxed to

  `s · F = (q y - p)² · G + R`   (resp. `(q1 y - p1)² (q2 y - p2)² · G + R`)

with integers `s > 0`, polynomials `G, R` with `G ≥ g0 > 0` and `R ≥ 0` on `[0, 1]` (both by exact
Bernstein chains).  Then `F ≥ 0` on `[0, 1]` (so `H ≤ phi`), and `F ≤ 2 Dq δ` forces
`g0 (q y - p)² ≤ 2 s Dq δ`, i.e. the same coercivity as in the exact case with `Dq` replaced by
`s Dq`.
-/

namespace ThomsonN7
namespace Glue
namespace Coerce

open CutOneD Base

/-! ## A. One node -/

/-! ## B. Two nodes -/

end Coerce
end Glue
end ThomsonN7

end Asm_Coerce2

section Asm_CertF
/-! # Fast (linear-traversal) checking of sum-of-squares blocks

The blocks `⟨d, l, Δ⟩` of `Cert1` are read by random access (`List.getD`), which costs `O(r³)`
kernel steps per block.  Here the same quadratic form and the same positivity check are
implemented by traversing the coefficient lists once, and proved equivalent to the random-access
versions.  Also: packed integer data (one natural-number literal per array, decoded in the kernel).
-/

namespace ThomsonN7

open Kron Kron.Ex
namespace Cert

open ThreePoint

/-! ## Packed integer data -/

/-! ## The quadratic form of a block, by list traversal -/

/-! ## The positivity check, by list traversal -/

end Cert
end ThomsonN7

end Asm_CertF

section Asm_CertT
namespace ThomsonN7

open Kron Kron.Ex
namespace Cert

open ThreePoint

/-! ## Multiplier atoms of the typed certificates -/

/-! ## Kronecker values of the quadratic form of a block -/

/-! ## Size bounds of packed blocks -/

/-! ### Degrees -/

/-! ## Analytic bounds of typed blocks -/

/-! ## Sums of expressions -/

/-! ## The hybrid check -/

end Cert
end ThomsonN7

namespace ThomsonN7

open Kron Kron.Ex
namespace Cert

/-! # Flat (Nat-only inner loops) evaluation of the quadratic form of a packed block -/

end Cert
end ThomsonN7

namespace ThomsonN7

open Kron Kron.Ex
namespace Cert

open ThreePoint
open scoped RealInnerProductSpace

/-! ## One-variable polynomials, marginals, kernel sums -/

/-! ## The three type slacks, scaled to integer polynomials -/

section RealSide

variable (K : ℕ) (m : ℕ → ℕ) (Lam : ℕ) (blP blR : ℕ → Blk)

end RealSide

/-! ## The certificate -/

namespace TCert

variable (cf : TCert)

/-! ### The real data of a certificate -/

end TCert

end Cert
end ThomsonN7

end Asm_CertT

section Asm_SlabHead
/-!
# One-dimensional facts for the typed slab certificates: `H ≤ φ` on an interval

`φ(t) = (√(2 - 2t))⁻¹`.  For `t < 1` put `y = √((1 - t)/2) > 0`, so that `t = 1 - 2 y²` and
`φ(t) = 1/(2y)`.  A polynomial `H(t) = Q(t)/Lam` satisfies `H ≤ φ` iff `q(y) = Lam - 2 y Q(1 - 2y²) ≥ 0`.

A certificate for `q ≥ 0` on `{ν₂ y² ≤ μ₂}` (i.e. `t ≥ lo`) or `{ν₂ y² ≤ μ₂, μ₁ ≤ ν₁ y²}`
(i.e. `lo ≤ t ≤ hi`) is an exact polynomial identity

  `m · Lam · q(y) = Σ_T mult_T(y) · Σ (weight · square)`

where `mult_T` is a product of a subset of the atoms `y`, `μ₂ - ν₂ y²`, `ν₁ y² - μ₁`, and all
weights are natural numbers.  The identity is checked by kernel evaluation of integer polynomials.
-/

namespace ThomsonN7
namespace SlabOneD

/-! ## Fast check by evaluation at a large integer point (Kronecker substitution)

If an integer polynomial `R` satisfies `R(X) = 0` and all its coefficients have absolute value
`< X`, then `R = 0`.  The coefficient bound is obtained from `ℓ¹`-norm majorants along the same
expression tree as the identity, so the kernel only evaluates a few hundred big-integer operations
instead of expanding all polynomial products. -/

end SlabOneD
end ThomsonN7

end Asm_SlabHead

section Asm_Bridge
/-!
# Bridge: the certificate checker `Cert.TCert.sound_lo` feeds `Glue.SlabSpec` / `Glue.CapSpec`

`TCert.sound_lo` bounds `ef` by the typed double sum `∑ i<j, H7 HAf HBf HCf i j ⟪x i, x j⟫`.
Here we restate it with the class selector `Glue.cls3` (via `Glue3.sum_H7_eq_sum_cls3`) and, for a
certificate whose four boolean checks hold, produce the final interface of `Glue4`.  The remaining
inputs are the one-dimensional facts about the minorants (`HAf ≤ phi`, ...) and the numerical
comparison of `ef` with the energy `E(P)`.
-/

namespace ThomsonN7
namespace Glue

section Bridge

open scoped InnerProductSpace
open Base

end Bridge

end Glue
end ThomsonN7

end Asm_Bridge

section Asm_Bridge1D
/-!
# Bridge1D: agent2's one-dimensional slab facts (`SlabOneD`) feed `Bridge`

`SlabOneD.peval Q t / Lam` is the polynomial `polyR Lam Q t` of `CertT`; a generated slab
`SlabOneD.Slab_x.HA_le_phi` therefore gives `HAf ≤ phi` on the slab of a certificate whose
`HA`, `Lam` are the data of `Slab_x.certHA`.
-/

namespace ThomsonN7
namespace Glue

section Bridge1D

open scoped InnerProductSpace
open Base

end Bridge1D

end Glue
end ThomsonN7

end Asm_Bridge1D

section Asm_Bridge2
/-!
# Bridge2: near-sharp cap specification from a certificate and its contact factorisations

`Bridge.capSpec_of_tcert` asks for coercive one-dimensional facts about the three minorants
`HAf, HBf, HCf` of a cap certificate.  `Coerce` produces exactly these facts from an exact
factorisation of `F = Dq - 2 y Q(1 - 2 y²)` at rational `y`-nodes (`ContactA`, `Contact1`,
`Contact2`).  Here the two are glued: the contact data are attached to a certificate `cf` by the
equalities `c.Q = cf.HX`, `c.Dq = cf.Lam`.
-/

namespace ThomsonN7
namespace Glue

section Bridge2

open scoped InnerProductSpace
open Base

end Bridge2

end Glue
end ThomsonN7

end Asm_Bridge2

section Asm_Bridge3
/-!
# Bridge3: near-sharp cap specification with relaxed contacts

Same as `Bridge2.capSpec_of_contacts`, but the pole--ring and ring--ring minorants come with the
*relaxed* factorisations `s F = (q y - p)² G + R` (`Coerce.Contact1R`, `Coerce.Contact2R`), which
integer SDP data can satisfy; the pole--pole minorant keeps the exact simple contact at `y = 1`.
-/

namespace ThomsonN7
namespace Glue

section Bridge3

open scoped InnerProductSpace
open Base

end Bridge3

end Glue
end ThomsonN7

end Asm_Bridge3

section Asm_cap_tc
namespace ThomsonN7
open Kron Kron.Ex
namespace Cert
open ThreePoint

end Cert
end ThomsonN7

end Asm_cap_tc

section Asm_cap_ct
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_cap_ct

section Asm_cap_capspec
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_cap_capspec

section Asm_s99_98_tc
namespace ThomsonN7
open Kron Kron.Ex
namespace Cert
open ThreePoint

end Cert
end ThomsonN7

end Asm_s99_98_tc

section Asm_s99_98_1d
namespace ThomsonN7
namespace SlabOneD

namespace Slab_s99_98

end Slab_s99_98

end SlabOneD
end ThomsonN7

end Asm_s99_98_1d

section Asm_s99_98_spec
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_s99_98_spec

section Asm_s98_96_tc
namespace ThomsonN7
open Kron Kron.Ex
namespace Cert
open ThreePoint

end Cert
end ThomsonN7

end Asm_s98_96_tc

section Asm_s98_96_1d
namespace ThomsonN7
namespace SlabOneD

namespace Slab_s98_96

end Slab_s98_96

end SlabOneD
end ThomsonN7

end Asm_s98_96_1d

section Asm_s98_96_spec
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_s98_96_spec

section Asm_s96_94_tc
namespace ThomsonN7
open Kron Kron.Ex
namespace Cert
open ThreePoint

end Cert
end ThomsonN7

end Asm_s96_94_tc

section Asm_s96_94_1d
namespace ThomsonN7
namespace SlabOneD

namespace Slab_s96_94

end Slab_s96_94

end SlabOneD
end ThomsonN7

end Asm_s96_94_1d

section Asm_s96_94_spec
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_s96_94_spec

section Asm_s94_93_tc
namespace ThomsonN7
open Kron Kron.Ex
namespace Cert
open ThreePoint

end Cert
end ThomsonN7

end Asm_s94_93_tc

section Asm_s94_93_1d
namespace ThomsonN7
namespace SlabOneD

namespace Slab_s94_93

end Slab_s94_93

end SlabOneD
end ThomsonN7

end Asm_s94_93_1d

section Asm_s94_93_spec
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_s94_93_spec

section Asm_s93_90_tc
namespace ThomsonN7
open Kron Kron.Ex
namespace Cert
open ThreePoint

def tc_s93_90_SG0 : TBlk :=
  ⟨[], [(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0), (0, 0, 2), (0, 1, 1), (0, 2, 0), (1, 0, 1), (1, 1, 0), (2, 0, 0), (0, 0, 3), (0, 1, 2), (0, 2, 1), (0, 3, 0), (1, 0, 2), (1, 1, 1), (1, 2, 0), (2, 0, 1), (2, 1, 0), (3, 0, 0), (0, 0, 4), (0, 1, 3), (0, 2, 2), (0, 3, 1), (0, 4, 0), (1, 0, 3), (1, 1, 2), (1, 2, 1), (1, 3, 0), (2, 0, 2), (2, 1, 1), (2, 2, 0), (3, 0, 1), (3, 1, 0), (4, 0, 0), (0, 0, 5), (0, 1, 4), (0, 2, 3), (0, 3, 2), (0, 4, 1), (0, 5, 0), (1, 0, 4), (1, 1, 3), (1, 2, 2), (1, 3, 1), (1, 4, 0), (2, 0, 3), (2, 1, 2), (2, 2, 1), (2, 3, 0), (3, 0, 2), (3, 1, 1), (3, 2, 0), (4, 0, 1), (4, 1, 0), (5, 0, 0)], 56, 48, 36, 92,
  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,
  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def tc_s93_90_SG1 : TBlk :=
  ⟨[10, 4], [(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0), (0, 0, 2), (0, 1, 1), (0, 2, 0), (1, 0, 1), (1, 1, 0), (2, 0, 0), (0, 0, 3), (0, 1, 2), (0, 2, 1), (0, 3, 0), (1, 0, 2), (1, 1, 1), (1, 2, 0), (2, 0, 1), (2, 1, 0), (3, 0, 0), (0, 0, 4), (0, 1, 3), (0, 2, 2), (0, 3, 1), (0, 4, 0), (1, 0, 3), (1, 1, 2), (1, 2, 1), (1, 3, 0), (2, 0, 2), (2, 1, 1), (2, 2, 0), (3, 0, 1), (3, 1, 0), (4, 0, 0)], 35, 44, 36, 84,
  0x83d926627fc859a87372908729c276dd4859d8fa4a4c8c587c9a87c875af2d86cc8a62d72ca768891a2a33c2888885fb58e8b06d3f8dd8876a3dfd90e89868bf10f2858b62ca0d888fb87a510a885e79fdbf884909cc81148b62f967b268b7bad1ccb28b741168b74854ac1e08608ea7b1a5d7c851b57833988914ef5d42884ec4afd84687aca46ee5888d4ceba0128cef68a87288def709b24083c74681f22887aafae4c0842c4cd0ac68737c1d93aa8442c1fff34845ad2c1ea486894837762,
  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def tc_s93_90_SG2 : TBlk :=
  ⟨[11, 6], [(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0), (0, 0, 2), (0, 1, 1), (0, 2, 0), (1, 0, 1), (1, 1, 0), (2, 0, 0), (0, 0, 3), (0, 1, 2), (0, 2, 1), (0, 3, 0), (1, 0, 2), (1, 1, 1), (1, 2, 0), (2, 0, 1), (2, 1, 0), (3, 0, 0), (0, 0, 4), (0, 1, 3), (0, 2, 2), (0, 3, 1), (0, 4, 0), (1, 0, 3), (1, 1, 2), (1, 2, 1), (1, 3, 0), (2, 0, 2), (2, 1, 1), (2, 2, 0), (3, 0, 1), (3, 1, 0), (4, 0, 0)], 35, 44, 36, 84,
  0x8539285194e8483b74de3884e419da2a888401c07ec28b0192c5f6e8737b42c554853e48d55c68cff67e0cea86934b19bf68dc3a19ca508c8ae64fb4687f5b9b99a486214bd03e688207f3c760885e60b10d2886c8c80c5487c3a46858c8601a0edf6a85a2ff3038e85e48555b8a8eb45c750b686cfa611e0a84c8e4f87e484d6d3f29a087aca6b5d2e8b541a10f3a858b89ba472877647881c0869160cc89c842434c4624842c4dec6f8843fb59fec2873ced1b680845ad6e764686894aab50c,
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def tc_s93_90_SG3 : TBlk :=
  ⟨[12, 8], [(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0), (0, 0, 2), (0, 1, 1), (0, 2, 0), (1, 0, 1), (1, 1, 0), (2, 0, 0), (0, 0, 3), (0, 1, 2), (0, 2, 1), (0, 3, 0), (1, 0, 2), (1, 1, 1), (1, 2, 0), (2, 0, 1), (2, 1, 0), (3, 0, 0), (0, 0, 4), (0, 1, 3), (0, 2, 2), (0, 3, 1), (0, 4, 0), (1, 0, 3), (1, 1, 2), (1, 2, 1), (1, 3, 0), (2, 0, 2), (2, 1, 1), (2, 2, 0), (3, 0, 1), (3, 1, 0), (4, 0, 0)], 35, 44, 36, 84,
  0x85394f67bd28dfa01e58728651ebc5ab083f4d3ef6028d16828a4da8ca85ec69a487eddce90bc856dafdfa1284bd14582de878f7b799f2868a825d45e8910ff3d54a88a74b68aec8abc44ee54c878e48aec94886c8bdf14c856602cb7b088a36c9e7d889a2c329e8687430f404bc86fab2290c88c776fb91708533ec7c72a88c2505430688857779bb28b5416af1e8845e3718300897904175308bea92085a68c8814b65e68c297333060843fb6dce48842ff2c52e48787122fd5086894beea68,
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def tc_s93_90_SG4 : TBlk :=
  ⟨[3], [(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0), (0, 0, 2), (0, 1, 1), (0, 2, 0), (1, 0, 1), (1, 1, 0), (2, 0, 0), (0, 0, 3), (0, 1, 2), (0, 2, 1), (0, 3, 0), (1, 0, 2), (1, 1, 1), (1, 2, 0), (2, 0, 1), (2, 1, 0), (3, 0, 0)], 20, 48, 36, 92,
  0xd37d0d2e4ab8c9a079aa60a0ce656deddea8d45147c94d38a6aea78b4be8d8eca536d7e8979cf65ed4b8dd5aeb4f8140987eaa2fe720989b3cb1d588a49e450bc158ab4649c16848b40d6e52df00a4dc58143788991009111e80a5cd907cdae8a1a3679a4f8097a912c276309d83682aa6f8a355144cb238,
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def tc_s93_90 : TCert where
  dd := 5
  Lam := 1267650600228229401496703205376
  an := -93
  ad := 100
  bn := -9
  bd := 10
  e := 18321328772086594975243821493240
  cal := 182367100608478648269786841088
  cbe := 242804964312043140510027612160
  HA := [836391019792906658027363368960, 93203749337679774186339303420, -168759337249322936767908675580, 43321362278978555356783837180, 56928161340122077926912950270, -45468789428512631550659002370, 8871175124977708080583147520, 3619118255302458110883397630, -2262153555178925543517061120, 387408043434195482612596740, -9402553406726728161689600]
  HB := [896362168663336835033790939136, 448225185432714055179911036928, 335608151357478353182115495936, 279062357728373895795344146432, 255503942004157330792827060224, 244780512293716875604838580224, 161189062975669772025465929728, 12908796415014427591853473792, -33677797310523417186921349120, 1133335126216284329870360576, 642797755064249367014670336]
  HC := [896361803761737464465001021438, 448130764429522909220302749696, 335593314985252307030629154814, 281745267081099414975155273730, 257547158413227294512449060866, 225587101736406821526405382146, 132911313856208220373290844158, 21111850102701591112395522048, -18548703617653828636433711106, -5265891064903192985345196030, 1266085462178035047912701952]
  ψBa := [-29512521701673261980551479296, 104700431665459495452159246336, 136806803257981658788156932096, 75254548009607557693556391936, -24197439275416734834605686784, -34197569880534897774255144960, -60318721834238526937140035584, -376424356282945214861587513344, -131823422386788395833270206464, 185033983087587912727937417216, -8648340272849342958422458368]
  ψCb := [-242804964312043140510027612162, 104271485903323639195080065022, 126531609224078285467524530178, 50647811774405995237300240386, -4929426943362309615849046014, 7796775033109267573664382978, 32964869319563142395626258434, 73706029753275767902563205122, 80740776298929941811036160002, 3195277522598931310110048258, -27697664375213652927158681598]
  FP := [tc_s93_90_FP0, tc_s93_90_FP1, tc_s93_90_FP2, tc_s93_90_FP3, tc_s93_90_FP4, tc_s93_90_FP5]
  FR := [tc_s93_90_FR0, tc_s93_90_FR1, tc_s93_90_FR2, tc_s93_90_FR3, tc_s93_90_FR4, tc_s93_90_FR5]
  mA := 1000
  mB := 100
  mG := 100
  SA := [tc_s93_90_SA0, tc_s93_90_SA1, tc_s93_90_SA2, tc_s93_90_SA3, tc_s93_90_SA4, tc_s93_90_SA5]
  SB := [tc_s93_90_SB0, tc_s93_90_SB1, tc_s93_90_SB2, tc_s93_90_SB3, tc_s93_90_SB4]
  SG := [tc_s93_90_SG0, tc_s93_90_SG1, tc_s93_90_SG2, tc_s93_90_SG3, tc_s93_90_SG4]

end Cert
end ThomsonN7

end Asm_s93_90_tc

section Asm_s93_90_1d
namespace ThomsonN7
namespace SlabOneD

namespace Slab_s93_90

def parHA : Par := ⟨193, 200, 19, 20⟩

def termHA_0 : Term :=
  ⟨false, false, false, [(nat_lit 47407737016000, [Int.ofNat (nat_lit 8589934592), Int.negSucc (nat_lit 5526918535), Int.negSucc (nat_lit 1268952858), Int.negSucc (nat_lit 2812978422), Int.negSucc (nat_lit 1077857980), Int.negSucc (nat_lit 987331714), Int.negSucc (nat_lit 400499449), Int.ofNat (nat_lit 358364715), Int.ofNat (nat_lit 418320070), Int.ofNat (nat_lit 1335211613), Int.ofNat (nat_lit 1410957870)]), (nat_lit 68442202292000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 2322103052), Int.negSucc (nat_lit 1435409083), Int.negSucc (nat_lit 1211085053), Int.negSucc (nat_lit 789988850), Int.negSucc (nat_lit 320361049), Int.negSucc (nat_lit 140146051), Int.ofNat (nat_lit 393781650), Int.ofNat (nat_lit 518052477), Int.ofNat (nat_lit 1029593693)]), (nat_lit 60601184280000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 2389932953), Int.negSucc (nat_lit 1737598073), Int.negSucc (nat_lit 1183866676), 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def termHA_1 : Term :=
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0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 40216753692227052632000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 622360567731590830899560000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 621923819870046047031136000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def termHA_2 : Term :=
  ⟨false, true, false, [(nat_lit 258632034780, [Int.ofNat (nat_lit 8589934592), Int.negSucc (nat_lit 2353831560), Int.negSucc (nat_lit 468786230), Int.negSucc (nat_lit 1665019920), Int.negSucc (nat_lit 753978548), Int.negSucc (nat_lit 1220173364), Int.negSucc (nat_lit 788932634), Int.negSucc (nat_lit 888592658), Int.negSucc (nat_lit 805538773), Int.negSucc (nat_lit 603322827)]), (nat_lit 442975833840, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 919342198), Int.negSucc (nat_lit 554913354), Int.negSucc (nat_lit 721020958), Int.negSucc (nat_lit 529873391), Int.negSucc (nat_lit 570534326), Int.negSucc (nat_lit 515999592), Int.negSucc (nat_lit 452217855), Int.negSucc (nat_lit 495189254)]), (nat_lit 424338032780, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 878987257), Int.negSucc (nat_lit 684422465), Int.negSucc (nat_lit 727509429), Int.negSucc (nat_lit 659217016), Int.negSucc (nat_lit 611549780), Int.negSucc (nat_lit 659881979), Int.negSucc (nat_lit 497055297)]), (nat_lit 413923152940, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 891841811), Int.negSucc (nat_lit 810179622), Int.negSucc (nat_lit 767265983), Int.negSucc (nat_lit 812446271), Int.negSucc (nat_lit 673054655), Int.negSucc (nat_lit 723081525)]), (nat_lit 398543543060, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 979779072), Int.negSucc (nat_lit 1019994624), Int.negSucc (nat_lit 889312079), Int.negSucc (nat_lit 959532143), Int.negSucc (nat_lit 774444484)]), (nat_lit 379650895880, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 1166106587), Int.negSucc (nat_lit 1241005979), Int.negSucc (nat_lit 1078633350), Int.negSucc (nat_lit 1086272462)]), (nat_lit 353974014480, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 1540372421), Int.negSucc (nat_lit 1579209561), Int.negSucc (nat_lit 1396453005)]), (nat_lit 314132230600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 2306999122), Int.negSucc (nat_lit 2153729404)]), (nat_lit 237499608320, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 4406020569)]), (nat_lit 188690106000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 67108864)]), (nat_lit 236124673279934543360, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 194002352868303021440, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 1317674312525157031040, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 606570920922841557760, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 628442507185836961600, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 917126526452502486400, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 95594413742620156160, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 928014201256605461760, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 829732781055943241280, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 66751547462265343015577280, [Int.ofNat (nat_lit 1)]), (nat_lit 676962628835118675620, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 316559003711028230020, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 236455206712830512340, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 25863817744670124180, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 315710342807116415980, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 39446450442163804300, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 234875725089640648920, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 594849095372225817040, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 66753439600826149557914420, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 384083383474906231540, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 410907489925712186180, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 747680599576488959980, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 338008106677013234340, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 188553009314590895780, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 502307248802458841880, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 597894795927155429600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 66752673006847264840309740, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 55769146324870734380, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 151378272339187850780, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 583314756241216497380, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 63069727028016234820, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 160022854493935844920, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 970018533468061776080, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 66753228685114109874286100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 481753572812540929180, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 176351640272291751500, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 127013802121382760300, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 99699599088137770280, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 496631081555180577680, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 66754191935861238849418580, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 374121606746112111200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 37068852461516821620, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 238727565237121750440, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 250830957122035671620, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 66753877410747225005084060, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1256648987275576440, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 855798860302890110680, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 646371533177082662020, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 66752658947969921389378240, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 651062122919080067800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 234507990099392289960, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 66755266350717740170005020, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 104949689764694195200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 66753786168608568741085080, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 66751117566582923733304940, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def termHA_3 : Term :=
  ⟨true, true, false, [(nat_lit 397960753320, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 543122537), Int.negSucc (nat_lit 808576637), Int.negSucc (nat_lit 543787141), Int.negSucc (nat_lit 647364222), Int.negSucc (nat_lit 490039616), Int.negSucc (nat_lit 521632135), Int.negSucc (nat_lit 451285387), Int.negSucc (nat_lit 395969264), Int.negSucc (nat_lit 417341046)]), (nat_lit 404554563160, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 666168482), Int.negSucc (nat_lit 775382273), Int.negSucc (nat_lit 615246193), Int.negSucc (nat_lit 639544476), Int.negSucc (nat_lit 581136862), Int.negSucc (nat_lit 530442457), Int.negSucc (nat_lit 553257350), Int.negSucc (nat_lit 409393163)]), (nat_lit 408051923840, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 752007281), Int.negSucc (nat_lit 763654171), Int.negSucc (nat_lit 711689536), Int.negSucc (nat_lit 656732608), Int.negSucc (nat_lit 700153213), Int.negSucc (nat_lit 542111991), Int.negSucc (nat_lit 602845233)]), (nat_lit 405427751840, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 876011308), Int.negSucc (nat_lit 816389944), Int.negSucc (nat_lit 869732786), Int.negSucc (nat_lit 726175292), Int.negSucc (nat_lit 779191049), Int.negSucc (nat_lit 605448728)]), (nat_lit 400300414720, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 1062589872), Int.negSucc (nat_lit 918439042), Int.negSucc (nat_lit 994871715), Int.negSucc (nat_lit 805170339), Int.negSucc (nat_lit 839618682)]), (nat_lit 384994999120, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 1298432462), Int.negSucc (nat_lit 1129864592), Int.negSucc (nat_lit 1143085785), Int.negSucc (nat_lit 994225861)]), (nat_lit 359053769260, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 1655309156), Int.negSucc (nat_lit 1471084075), Int.negSucc (nat_lit 1386395222)]), (nat_lit 315710837440, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 2271505744), Int.negSucc (nat_lit 2190131074)]), (nat_lit 247009234640, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 4406029183)]), (nat_lit 193455656380, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 67108864)]), (nat_lit 361013998064780575360, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 770335754936031760640, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 591689152337640701760, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 11987095733041658560, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 194008802690464733760, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 759568511246168734080, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 794595600049068424640, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 55377332516708171200, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 194666784053896220160, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 68438930627443610278102720, [Int.ofNat (nat_lit 1)]), (nat_lit 447051186397046663200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 403798801942555602080, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 733724169033318470160, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 43052632857524862000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 121662731169328246080, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 616000663216751563200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 518108997864332974960, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 553076685981444381520, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 68438663611907006222368800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 170938450070417718960, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 202921204396737130080, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 18488712581361752600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 41146165378746356360, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 234817253180744702640, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 289021455520337034200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 76927515296455410320, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 68440749450796871451118240, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 32539502118492370320, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 423106621319349853920, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 701588361135684198000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 321303819084459377760, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 297805994675589894400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 38286850028960350800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 68440102042844399001473760, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 243059286190540640600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 676173385106653818640, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 605946761871940929120, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 182640957308359509800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 396542580265559099080, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 68439139789503690301408480, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 405795145603807126360, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 993924417281904971600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 727892125832923865040, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 375407013709914783320, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 68439317020099372094555920, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 724478843583286274400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 409614141435807475000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 591633980935077590240, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 68437860225909399883339360, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 308450189464193739680, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 152755787169443745700, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 68437732391127397693820160, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 105678263318237742120, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 68439314835142140047196160, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 68441730850774078023254800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def termHA_4 : Term :=
  ⟨false, false, true, [(nat_lit 3274842019600, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 291351862), Int.negSucc (nat_lit 674176096), Int.negSucc (nat_lit 413675132), Int.negSucc (nat_lit 610975632), Int.negSucc (nat_lit 481796562), Int.negSucc (nat_lit 589226898), Int.negSucc (nat_lit 519948383), Int.negSucc (nat_lit 553855696), Int.negSucc (nat_lit 572826241)]), (nat_lit 4188158115600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 456467191), Int.negSucc (nat_lit 682479835), Int.negSucc (nat_lit 529986833), Int.negSucc (nat_lit 648683025), Int.negSucc (nat_lit 577003298), Int.negSucc (nat_lit 599671295), Int.negSucc (nat_lit 604006323), Int.negSucc (nat_lit 555726991)]), (nat_lit 4207174197200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 609928031), Int.negSucc (nat_lit 711594512), Int.negSucc (nat_lit 653757708), Int.negSucc (nat_lit 664147064), Int.negSucc (nat_lit 670797826), Int.negSucc (nat_lit 592125837), Int.negSucc (nat_lit 708532183)]), (nat_lit 4127659594200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 774089757), Int.negSucc (nat_lit 790040159), Int.negSucc (nat_lit 796380188), Int.negSucc (nat_lit 701998984), Int.negSucc (nat_lit 796226415), Int.negSucc (nat_lit 707030074)]), (nat_lit 4057698487800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 957764530), Int.negSucc (nat_lit 850416898), Int.negSucc (nat_lit 940711491), Int.negSucc (nat_lit 817599105), Int.negSucc (nat_lit 962547127)]), (nat_lit 3931233411200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 1189471524), Int.negSucc (nat_lit 1048655273), Int.negSucc (nat_lit 1157988977), Int.negSucc 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def termHA_5 : Term :=
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def termHA_6 : Term :=
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(nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 10433551539060993920, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 64127458313148619291249440224, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 10732268546369587168, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 7167661746977153184, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 7719383804620810912, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 658102036973623628, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 1344650842357982824, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 64127458352419111714260859404, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 784979953959230525, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 14124892810452348016, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 19985923501187593712, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 30259286260762000433, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 64127458310658938630233356352, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 10365407285195299074, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 20732462471462653256, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 7926386073823814713, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 64127458355030117335398989663, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 21838776281717974394, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 14550442223963339054, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 64127458342303606673698892472, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1136809398283017196, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 64127458349000898476163152586, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 64127458404753543863037968461, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def termHA_7 : Term :=
  ⟨true, true, true, [(nat_lit 14411402807, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 523958326), Int.negSucc (nat_lit 369877718), Int.negSucc (nat_lit 454211630), Int.negSucc (nat_lit 384067297), Int.negSucc (nat_lit 449580773), Int.negSucc (nat_lit 390120049), Int.negSucc (nat_lit 444152481), Int.negSucc (nat_lit 373585752)]), (nat_lit 14119905889, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 504335338), Int.negSucc (nat_lit 437756933), Int.negSucc (nat_lit 497401435), Int.negSucc (nat_lit 445064317), Int.negSucc (nat_lit 506347164), Int.negSucc (nat_lit 430784935), Int.negSucc (nat_lit 423964290)]), (nat_lit 13916182666, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 554824556), Int.negSucc (nat_lit 494690322), Int.negSucc (nat_lit 565998041), Int.negSucc (nat_lit 497320309), Int.negSucc (nat_lit 483963487), Int.negSucc (nat_lit 472325645)]), (nat_lit 13680111843, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 637081941), Int.negSucc (nat_lit 576586189), Int.negSucc (nat_lit 572412610), Int.negSucc (nat_lit 552781214), Int.negSucc (nat_lit 497724306)]), (nat_lit 13417043398, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 672710456), Int.negSucc (nat_lit 660616633), Int.negSucc (nat_lit 596253018), Int.negSucc (nat_lit 631816109)]), (nat_lit 13071758587, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 742892609), Int.negSucc (nat_lit 767623967), Int.negSucc (nat_lit 648504995)]), (nat_lit 12713489875, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 806060685), Int.negSucc (nat_lit 908425359)]), (nat_lit 12364750823, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 1217939515)]), (nat_lit 11312243685, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296)]), (nat_lit 29552110867506286144, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 28210736207381083968, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 24431864620045943232, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 2272818287622769856, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 26861723389097195072, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 2526617099254014400, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 13918457238530405696, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 17968827627266664384, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 65147691100503921409756955136, [Int.ofNat (nat_lit 1)]), (nat_lit 19575628103484042375, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 25128529735318066463, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 18977936245838163138, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 3101439591011348294, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 26755132885011444690, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 17275460244887083714, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 28136765970123374487, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 65147691071265208763638978368, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 30630323587028518785, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 28048720597040302262, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 13972330166825058608, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 27313087138259066705, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 12997492639209804806, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 11606289260752575446, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 65147691079663697158399083493, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 19613479357285541152, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 29799267392269936290, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 36171876565456255748, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 290298697754974334, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 8551774813874790623, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 65147691078901585185142364840, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 7012982794401572924, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 28327521205103195966, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 36148420236936557382, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1958576546438351612, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 65147691119842886806956473402, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 14343360544557409076, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 24900175883555717268, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 26798843022988154206, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 65147691098297985458465436076, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 6326842532749898897, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 4297473401647903304, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 65147691091756921856491147298, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 27601887779069998297, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 65147691098294185190309120981, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 65147691138330519072633090766, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def certHA : Cert where
  m := nat_lit 4000
  Lam := nat_lit 1267650600228229401496703205376
  Q := [Int.ofNat (nat_lit 836391019792906658027363368960), Int.ofNat (nat_lit 93203749337679774186339303420), Int.negSucc (nat_lit 168759337249322936767908675579), Int.ofNat (nat_lit 43321362278978555356783837180), Int.ofNat (nat_lit 56928161340122077926912950270), Int.negSucc (nat_lit 45468789428512631550659002369), Int.ofNat (nat_lit 8871175124977708080583147520), Int.ofNat (nat_lit 3619118255302458110883397630), Int.negSucc (nat_lit 2262153555178925543517061119), Int.ofNat (nat_lit 387408043434195482612596740), Int.negSucc (nat_lit 9402553406726728161689599)]
  terms := [termHA_0, termHA_1, termHA_2, termHA_3, termHA_4, termHA_5, termHA_6, termHA_7]

def parHB : Par := ⟨193, 200, 0, 0⟩

def termHB_0 : Term :=
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def termHB_1 : Term :=
  ⟨true, false, false, [(nat_lit 3414212821400, [Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 6331494889), Int.ofNat (nat_lit 1897604641), Int.ofNat (nat_lit 5303315817), Int.ofNat (nat_lit 1428641438), Int.negSucc (nat_lit 3621023764), Int.negSucc (nat_lit 1124458669), Int.negSucc (nat_lit 375844741), Int.negSucc (nat_lit 1750616659), Int.negSucc (nat_lit 532601625), Int.ofNat (nat_lit 3106337557)]), (nat_lit 4052803631400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3957707779), Int.ofNat (nat_lit 3633006529), Int.ofNat (nat_lit 891046807), Int.negSucc (nat_lit 1250881920), Int.ofNat (nat_lit 397354021), Int.negSucc (nat_lit 1333877451), Int.negSucc (nat_lit 1574999753), Int.ofNat (nat_lit 2564495152), Int.negSucc (nat_lit 413786266)]), (nat_lit 3358405856200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3664329359), Int.ofNat (nat_lit 2496421591), Int.ofNat (nat_lit 2295336784), 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0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 13287071178324176172200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 29732119653238797264273800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 29726563802768850613107200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def termHB_2 : Term :=
  ⟨false, true, false, [(nat_lit 31147157709, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 8624212831), Int.negSucc (nat_lit 9085889174), Int.ofNat (nat_lit 16685499734), Int.ofNat (nat_lit 15060136387), Int.negSucc (nat_lit 12205211958), Int.negSucc (nat_lit 7945678332), Int.negSucc (nat_lit 3535843348), Int.negSucc (nat_lit 5085224476), Int.ofNat (nat_lit 10541668315)]), (nat_lit 17539032978, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 7156981923), Int.ofNat (nat_lit 4528081976), Int.ofNat (nat_lit 5583450218), Int.negSucc (nat_lit 5691032907), Int.ofNat (nat_lit 902406535), Int.ofNat (nat_lit 1391429607), Int.negSucc (nat_lit 4888221334), Int.ofNat (nat_lit 3144934564)]), (nat_lit 23744534598, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3140175691), Int.ofNat (nat_lit 1211107516), Int.ofNat (nat_lit 2114425111), Int.ofNat (nat_lit 741146114), Int.negSucc (nat_lit 1956840685), Int.negSucc (nat_lit 1071085392), Int.ofNat (nat_lit 979723473)]), (nat_lit 22576780826, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3043683283), Int.ofNat (nat_lit 1802694579), Int.ofNat (nat_lit 23069236), Int.ofNat (nat_lit 971893231), Int.ofNat (nat_lit 736639684), Int.negSucc (nat_lit 1661422924)]), (nat_lit 10259840510, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 6297780847), Int.ofNat (nat_lit 2918613213), Int.ofNat (nat_lit 3916279309), Int.negSucc (nat_lit 655610993), Int.negSucc (nat_lit 2145177342)]), (nat_lit 12725587848, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3139650952), Int.ofNat (nat_lit 1822951576), Int.ofNat (nat_lit 1685664077), Int.negSucc (nat_lit 1449039117)]), (nat_lit 14915276818, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2993108597), Int.ofNat (nat_lit 2422256778), Int.negSucc (nat_lit 463416489)]), (nat_lit 21857594481, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2645247646), Int.ofNat (nat_lit 1617999282)]), (nat_lit 25627915940, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 268435456), Int.negSucc (nat_lit 295474047)]), (nat_lit 8771300424, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 33554432)]), (nat_lit 18672898698383458448, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 18542037454509048000, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 56980697964301254624, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 9040606290174279568, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 48718022767496134624, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 74956353491508920288, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 66222124102208978864, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 60716571382473818272, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 60847492937679896640, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 152980030184520106901328, [Int.ofNat (nat_lit 1)]), (nat_lit 66298947630020178144, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 84016213084380773648, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 206270603310461885264, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 47792822881966808240, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 56885936310636450656, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 78973048047347480080, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 69448041113081714464, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 14971618778034079696, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 152603915704684733898032, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 109689679483644631294, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 10962041525904430689, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 72461184305687685027, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 151108603250327051817, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 184241971051588732001, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 88146905559513756041, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 57613643829413615863, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 152620009899726893078823, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 24168538229488573446, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 221904699958916307142, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 305045836847160063722, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 261878810483275543722, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 246982460773049630962, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 231613240458476946686, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 152173285406828472745374, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 85753591877703727343, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 155853196146378538769, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 211455893964515439729, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 106062226460821569969, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 10025831592105756675, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 152365895792547607989271, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 217430354899659413277, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 265493133007252489851, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 148976242789713857067, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 143176947591780891147, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 152304069055754276363149, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 142658186077915774723, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 172067069494758218765, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 269398781697115342543, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 152092226060472528171195, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 160849836861109315469, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 238077888690913087369, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 151894346165099698611681, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 96597015432276236101, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 152318158067551724284388, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 152390891271215171098353, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def termHB_3 : Term :=
  ⟨true, true, false, [(nat_lit 28404149798, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 12075452236), Int.ofNat (nat_lit 339301000), Int.ofNat (nat_lit 17760142681), Int.negSucc (nat_lit 1943857175), Int.negSucc (nat_lit 9239019955), Int.ofNat (nat_lit 1791719506), Int.negSucc (nat_lit 5057340371), Int.negSucc (nat_lit 2747542912), Int.ofNat (nat_lit 7038558767)]), (nat_lit 21794860443, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3700582145), Int.ofNat (nat_lit 2980586266), Int.ofNat (nat_lit 757853567), Int.negSucc (nat_lit 341266925), Int.ofNat (nat_lit 1141030888), Int.negSucc (nat_lit 3282500717), Int.negSucc (nat_lit 317902572), Int.ofNat (nat_lit 1709995505)]), (nat_lit 22927799660, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3722443551), Int.ofNat (nat_lit 2711768203), Int.ofNat (nat_lit 2495821013), Int.negSucc (nat_lit 2425375521), Int.negSucc (nat_lit 690829432), Int.negSucc (nat_lit 10471100), Int.ofNat (nat_lit 554807281)]), (nat_lit 20119070893, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2593626067), Int.ofNat (nat_lit 51909386), Int.ofNat (nat_lit 1985992561), Int.ofNat (nat_lit 1184770770), Int.negSucc (nat_lit 834511403), Int.negSucc (nat_lit 964490368)]), (nat_lit 19373403616, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3330612148), Int.ofNat (nat_lit 2424865230), Int.ofNat (nat_lit 325240756), Int.ofNat (nat_lit 630940859), Int.negSucc (nat_lit 1168866211)]), (nat_lit 20343704297, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3237904072), Int.ofNat (nat_lit 2139890727), Int.ofNat (nat_lit 1349600781), Int.negSucc (nat_lit 1333477399)]), (nat_lit 16201611183, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2872476753), Int.ofNat (nat_lit 2106518811), Int.negSucc (nat_lit 262968649)]), (nat_lit 24360557958, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2661572105), Int.ofNat (nat_lit 1634710710)]), (nat_lit 28397751819, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 268435456), Int.negSucc (nat_lit 296174175)]), (nat_lit 9713360359, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 33554432)]), (nat_lit 49825417108201144304, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 50807244122866319200, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 122172484210401476752, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 66053599829413592992, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 56832351195130495152, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 2180655987629752448, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 35959600833607237776, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 27784520169806626896, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 60547856137011068864, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 155427134032595503808048, [Int.ofNat (nat_lit 1)]), (nat_lit 139581151139502600528, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 349172376263675167106, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 192566813728391052880, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 162603172496932767976, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 473352499953760540, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 95982562244716298696, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 73194435179802052498, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 177740044498708851518, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 154791825757210883458524, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 194596000523754530428, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 49584682941052721894, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 106022647134161749748, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 42471354118528322544, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 84055102827315451684, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 2781968508635170254, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 96866671064117960550, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 155096972178093114399622, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 265547375674220258322, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 344102128900582717076, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 10123312403838086036, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 104592395094009598620, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 197989945010041342724, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 347781822883461521992, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 154732053733773294304750, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 129277260327495971258, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 21498252019815055036, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 1425336646752798382, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 60153863589331375717, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 105405435880000707117, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 155061804255360670486939, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1799908037857412358, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 55400424150333334932, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 123322285064446137002, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 169138548873572393640, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 154832139098278390353406, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 102415403910405332453, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 13338675481433396523, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 49319983700609975999, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 155618362360962671783729, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 2306522546038814919, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 50191887655657530324, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 155183700713146503854885, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 49127475556577790533, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 155301357257780018808449, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 154948689447213096696969, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def certHB : Cert where
  m := nat_lit 200
  Lam := nat_lit 1267650600228229401496703205376
  Q := [Int.ofNat (nat_lit 896362168663336835033790939136), Int.ofNat (nat_lit 448225185432714055179911036928), Int.ofNat (nat_lit 335608151357478353182115495936), Int.ofNat (nat_lit 279062357728373895795344146432), Int.ofNat (nat_lit 255503942004157330792827060224), Int.ofNat (nat_lit 244780512293716875604838580224), Int.ofNat (nat_lit 161189062975669772025465929728), Int.ofNat (nat_lit 12908796415014427591853473792), Int.negSucc (nat_lit 33677797310523417186921349119), Int.ofNat (nat_lit 1133335126216284329870360576), Int.ofNat (nat_lit 642797755064249367014670336)]
  terms := [termHB_0, termHB_1, termHB_2, termHB_3]

def parHC : Par := ⟨193, 200, 0, 0⟩

def termHC_0 : Term :=
  ⟨false, false, false, [(nat_lit 4969001729600, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 10748702301), Int.negSucc (nat_lit 594257606), Int.ofNat (nat_lit 9690883662), Int.ofNat (nat_lit 6758568390), Int.negSucc (nat_lit 1781309073), Int.negSucc (nat_lit 8149940629), Int.negSucc (nat_lit 3661588172), Int.ofNat (nat_lit 503722282), Int.negSucc (nat_lit 750273885), Int.ofNat (nat_lit 4479162288)]), (nat_lit 6603544439800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3345950330), Int.ofNat (nat_lit 1521447510), Int.ofNat (nat_lit 3002947433), Int.negSucc (nat_lit 1479511771), Int.negSucc (nat_lit 1026643691), Int.ofNat (nat_lit 1045910120), Int.negSucc (nat_lit 1476918861), Int.negSucc (nat_lit 581663271), Int.ofNat (nat_lit 1272393532)]), (nat_lit 2484600555800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3750877859), Int.ofNat (nat_lit 3073862962), Int.ofNat (nat_lit 985574927), Int.negSucc (nat_lit 41867969), Int.negSucc (nat_lit 1349450407), Int.negSucc (nat_lit 1619126182), Int.ofNat (nat_lit 1599311934), Int.ofNat (nat_lit 31403286)]), (nat_lit 2944752422200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3976018739), Int.ofNat (nat_lit 4026807139), Int.ofNat (nat_lit 386589851), Int.negSucc (nat_lit 1854615597), Int.ofNat (nat_lit 855937717), Int.negSucc (nat_lit 1543066916), Int.ofNat (nat_lit 1031681309)]), (nat_lit 2949315841400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3376030133), Int.ofNat (nat_lit 1895137981), Int.ofNat (nat_lit 2665352426), Int.negSucc (nat_lit 1461533077), Int.negSucc (nat_lit 2184842418), Int.ofNat (nat_lit 1388265146)]), (nat_lit 1965320511400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3131489894), Int.ofNat (nat_lit 2253170788), Int.ofNat (nat_lit 322710351), Int.negSucc (nat_lit 75896352), Int.negSucc (nat_lit 443164016)]), (nat_lit 4087314546200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3036871709), Int.ofNat (nat_lit 1802280724), Int.ofNat (nat_lit 1339857283), Int.negSucc (nat_lit 1179416797)]), (nat_lit 2514396962200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3246191016), Int.ofNat (nat_lit 3274028617), Int.negSucc (nat_lit 1098441232)]), (nat_lit 2679622931000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2283734662), Int.ofNat (nat_lit 1217332279)]), (nat_lit 3166415553600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 134217728), Int.negSucc (nat_lit 133983757)]), (nat_lit 3398692055800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 8388608)]), (nat_lit 10225314274951246643200, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 4136680919165566976000, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 12977850963174883328000, [Int.ofNat (nat_lit 1), 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def termHC_1 : Term :=
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def termHC_2 : Term :=
  ⟨false, true, false, [(nat_lit 11366438448, [Int.ofNat (nat_lit 8589934592), Int.negSucc (nat_lit 18669878553), Int.negSucc (nat_lit 11819554504), Int.ofNat (nat_lit 26936030201), Int.ofNat (nat_lit 25732484617), Int.negSucc (nat_lit 17616399018), Int.negSucc (nat_lit 16321461970), Int.negSucc (nat_lit 6696699367), Int.negSucc (nat_lit 7693462071), Int.ofNat (nat_lit 17662000166)]), (nat_lit 23044658864, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 7165764928), Int.ofNat (nat_lit 4508026498), Int.ofNat (nat_lit 6014315074), Int.negSucc (nat_lit 6429629676), Int.ofNat (nat_lit 668354572), Int.ofNat (nat_lit 2015578401), Int.negSucc (nat_lit 4431287428), Int.ofNat (nat_lit 2641730911)]), (nat_lit 25415305070, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3206380122), Int.ofNat (nat_lit 1089197532), Int.ofNat (nat_lit 2935426435), Int.ofNat (nat_lit 383327370), Int.negSucc (nat_lit 2926540378), Int.negSucc (nat_lit 712984932), Int.ofNat (nat_lit 1349884790)]), (nat_lit 20376101107, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3090162496), Int.ofNat (nat_lit 2004200667), Int.negSucc (nat_lit 120720428), Int.ofNat (nat_lit 830907217), Int.ofNat (nat_lit 649232158), Int.negSucc (nat_lit 1417792299)]), (nat_lit 11626230460, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 6193303117), Int.ofNat (nat_lit 2718489622), Int.ofNat (nat_lit 3939365296), Int.negSucc (nat_lit 720255757), Int.negSucc (nat_lit 1982013963)]), (nat_lit 10471707207, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3250793231), Int.ofNat (nat_lit 2346765847), Int.ofNat (nat_lit 898820653), Int.negSucc (nat_lit 1068339505)]), (nat_lit 14401814666, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3080503566), Int.ofNat (nat_lit 2673251825), Int.negSucc (nat_lit 635238331)]), (nat_lit 17748243077, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2588125138), Int.ofNat (nat_lit 1553486822)]), (nat_lit 24531649010, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 268435456), Int.negSucc (nat_lit 296138231)]), (nat_lit 8899363984, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 33554432)]), (nat_lit 161579543459612589936, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 81354973008447405920, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 256858089646079344784, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 258668526152137572528, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 161072238937122013296, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 132885708472273862464, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 29681144292473569312, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 19602826773030502448, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 128774496455770505344, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 154854079773752634114096, [Int.ofNat (nat_lit 1)]), (nat_lit 171286281772058992528, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 549520872964363408864, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 564122000080157182064, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 334004096131492485696, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 306332989980963174384, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 67093942979329742272, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 65313904229183950464, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 269121671914544643920, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 153882092796980435531248, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 395167710351158818032, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 352213486051919758736, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 281118638305702847728, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 101501691642770169392, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 9974827934695043456, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 42178496563000771664, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 216668449581664945344, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 154513919208725396295056, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 953655391951362075672, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 689096929502668305650, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 428789193229251305004, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 50138920678303495854, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 47422254548399010530, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 522566448863915850140, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 153179855589953439071104, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 625862271862888068791, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 451233040148076639607, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 78272120552213011925, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 79653335310585866062, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 528586009296538653468, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 153030238856226104817528, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 240140019038255733001, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 4340804509005595773, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 26016879892946342228, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 404940583966782993312, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 153658243369499918026996, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 61190694154348068235, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 14590655002668295662, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 209149459836768109436, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 154336894247154903220860, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 9968043752935100221, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 11408321917660099926, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 155776167142730356807968, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 91240446747524608796, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 155624415692108446274261, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 153896487879916930582962, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def termHC_3 : Term :=
  ⟨true, true, false, [(nat_lit 8953512969, [Int.ofNat (nat_lit 8589934592), Int.negSucc (nat_lit 23608120635), Int.ofNat (nat_lit 165241644), Int.ofNat (nat_lit 33229473561), Int.negSucc (nat_lit 1783605182), Int.negSucc (nat_lit 16861465651), Int.ofNat (nat_lit 2890117645), Int.negSucc (nat_lit 8548310053), Int.negSucc (nat_lit 10064969586), Int.ofNat (nat_lit 16254317268)]), (nat_lit 25627179026, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3596814212), Int.ofNat (nat_lit 2606414723), Int.ofNat (nat_lit 1017030202), Int.ofNat (nat_lit 79112088), Int.ofNat (nat_lit 582240161), Int.negSucc (nat_lit 3170860612), Int.negSucc (nat_lit 370268769), Int.ofNat (nat_lit 1803126300)]), (nat_lit 29903718142, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3842591585), Int.ofNat (nat_lit 2896565271), Int.ofNat (nat_lit 2812508937), Int.negSucc (nat_lit 2862720325), Int.negSucc (nat_lit 820292952), Int.negSucc (nat_lit 161798660), Int.ofNat (nat_lit 912476850)]), (nat_lit 20047711033, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2501933426), Int.negSucc (nat_lit 124996179), Int.ofNat (nat_lit 1983575558), Int.ofNat (nat_lit 1261790276), Int.negSucc (nat_lit 895907671), Int.negSucc (nat_lit 869439470)]), (nat_lit 20018026669, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3317056271), Int.ofNat (nat_lit 2480021465), Int.ofNat (nat_lit 84154591), Int.ofNat (nat_lit 815796219), Int.negSucc (nat_lit 1171096479)]), (nat_lit 19650990615, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3070462159), Int.ofNat (nat_lit 1456498871), Int.ofNat (nat_lit 2259653193), Int.negSucc (nat_lit 1729984817)]), (nat_lit 14895335952, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3165269884), Int.ofNat (nat_lit 2885900308), Int.negSucc (nat_lit 769076316)]), (nat_lit 26762831307, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2610440328), Int.ofNat (nat_lit 1576384208)]), (nat_lit 26932628006, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 268435456), Int.negSucc (nat_lit 296522862)]), (nat_lit 9773570052, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 33554432)]), (nat_lit 137982511999461883872, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 33983327752006139712, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 214076805653714698272, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 19747106011677196384, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 128432351874843148304, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 56775253213239574640, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 57509966522194329408, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 45914528771790077824, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 120195789134975991936, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 160031321298870030303232, [Int.ofNat (nat_lit 1)]), (nat_lit 89744951799534644608, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 497517261382319727028, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 51036037049780710020, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 308020588121288875520, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 139022202982062318484, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 140165946520566657576, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 94044264446739853772, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 291295910778974930288, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 159362143522118318032032, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 178684888608140059934, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 34236874745352026504, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 67829310112630108320, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 39595863247548771794, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 43225494328533659174, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 83666910250076066560, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 60123591195445801448, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 160180461555702276789976, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 151972346177364806487, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 443751347411632523152, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 231221679448490320469, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 263050284520898976568, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 254716603641844035565, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 438269330627247081820, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 158973855564735413255262, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 110956364503173433162, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 69345836790042113813, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 9779531513391397816, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 24702667047182321477, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 37092614322241005155, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 160200860530083338606414, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 70368514696788700864, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 169220279210718834422, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 171649083193691969130, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 256768402802980403016, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 159233487966480182879456, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 99744636151149188207, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 159953707170038845048, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 107559742825403794470, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 159879788314677009598759, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 64811662767464125754, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 119772670262728951958, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 159855277767556827750597, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 96704672688237740738, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 159838800365675217447942, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 159517043547516180307264, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def certHC : Cert where
  m := nat_lit 200
  Lam := nat_lit 1267650600228229401496703205376
  Q := [Int.ofNat (nat_lit 896361803761737464465001021438), Int.ofNat (nat_lit 448130764429522909220302749696), Int.ofNat (nat_lit 335593314985252307030629154814), Int.ofNat (nat_lit 281745267081099414975155273730), Int.ofNat (nat_lit 257547158413227294512449060866), Int.ofNat (nat_lit 225587101736406821526405382146), Int.ofNat (nat_lit 132911313856208220373290844158), Int.ofNat (nat_lit 21111850102701591112395522048), Int.negSucc (nat_lit 18548703617653828636433711105), Int.negSucc (nat_lit 5265891064903192985345196029), Int.ofNat (nat_lit 1266085462178035047912701952)]
  terms := [termHC_0, termHC_1, termHC_2, termHC_3]

end Slab_s93_90

end SlabOneD
end ThomsonN7

end Asm_s93_90_1d

section Asm_s93_90_spec
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_s93_90_spec

section Asm_Final
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_Final

namespace ThomsonN7

end ThomsonN7