Thomson $N=7$: certificate data for slab 1 ($-\tfrac{99}{100}\le t_{01}\le-\tfrac{49}{50}$), part 2 of 2

import Definitions.Def_ThomsonN7_slab_s99_98_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

def tc_s99_98_SB4 : 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,
  0x849e1d4aa5a0861d91e9a25085bf7189c3e08619add7b50084ca373614a08a5a81c506d085cd91050be087b8ab2b8480893a3ed1dae08b8d634be960851121f1801087b433f4878083f4fbe8b40087d23aee70f08707d339e5908361a172b2708683c5a5cef08462ccf8a79088c54a9e1b6083bebce3da90,
  0x80200000080000000080000000080000000080000000080000000080000000080000000080000000080000000080000000080000000080000000080000000080000000080000000080000000080000000080000000080000000080069e0e68040000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008006a084d7fd8c4de08020000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000007fff9c330800a684ce800243bd38040000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000007ff8240768005833fe800b4d195801a84b088040000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000007ffaa679f8025407dd7fe3dc27c8000f76318005812708010000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008004e33357fe6fac17800e88aef800b2eb017fefdb8c07ffb5d0e280200000080000000080000000080000000080000000080000000080000000080000000080000000080000000080000000080000000080000000080000000080027b8ae802044f5d7ff1b2de97fdd1c4a48011c14998007d49be8001db1d68020000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000007fff8c1e67fa3a7f82804245c45806896efc800486f8c7fe6140c97ffd6dac67fb646b118020000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000007fff14c9d8001cfb4a8006272268001cfb3c801a80a8480019c6bf7fff14ca180062724380019c6b68008000008000000008000000008000000008000000008000000008000000008000000008000000008000000008000000008038b8fdf7fb0bcb27801687620801682d468018630577fff71874800312ac07fe6def398007fefcb7ffd8d2fc8020000008000000008000000008000000008000000008000000008000000008000000008000000008000000007fdfc8435807d4a4a1801bf7a0c8052a3f42800748ebb7ff5d582b7ff643d52802ff061a7ff23ffde7ffa605137ff29705a8040000008000000008000000008000000008000000008000000008000000008000000008000000007fe3753d58088e48e280025ae728008e25187feca63f38029c18f17ff2b32b87ffd4210a7fff1011b8000bd7467ff50462e80044311a802000000800000000800000000800000000800000000800000000800000000800000000801a259827fcd109f87fd5d0e287f7ac0bd8801299fbc801535acd803dc2f217ff2addc5800989ece8001583ee800a79c3a7fd444fe08004c36548020000008000000008000000008000000008000000008000000008000000007ff7d6613802df75d17ff36e36e806222b9c7fea2a42f801f531707fef05da87ff244523802f21fb58001c970e8004288217ff2765b680148d9587ffe395988020000008000000008000000008000000008000000008000000008031832c97ffb195048039905a17ffb195bc80b3d19e8801610cbb8031832a180399057e801610cdc8042c818d8028c11298030128d4800f1e25d8028c114f800f1e26c8040000008000000008000000008000000008000000007dca6f25d7dc8a87977f59036cc7dab9d9dc7e59388f17e4b61d277ff86364a807674bf480054497d7ff41964a7f3bbf28d7f7885aa27f308479d7ff3c14bb802e7e40a7ffb4b6c68080000008000000008000000008000000007c6fecf7377d3902b57fe41c90d77df980607a14042e67d562a4127b88cc4e17f6dde92b7c9f1e2817fd5539a97eb04cbcd7e1a357b07f13f80f67e64136f97eaac30697fef20ade80cafa2598100000008000000008000000007fe05e91788e9bc1c97ed7371fc88e9bc171783edc2a47ee0964577fe05e8d17ed73720e7ee0963f77c28da2d97fc72177f84d7fb5bd7f8b6962e7fc7217657f8b695f37e144fd9b7fba71d5d7fba71d768100000008000000007dfa9ef60818709c927d655e9e8818709d0b7aaa31408800de77ea7dfa9efcf7d655e9eb800de786e7d4bb93367d961bce07c27443ff7f80596567d961bd067f80596937c80c8bb97fa5804b37fa5804977f923393e808000000,
  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def tc_s99_98_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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def tc_s99_98_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, 32, 88,
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def tc_s99_98_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, 32, 88,
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def tc_s99_98_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, 32, 88,
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def tc_s99_98_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, 32, 92,
  0x9e0fcf3d6ce0b31612e602e8b53e4e81fff8d9237eddaf68c19f8e82f2c09a4b4de8a690a2ee5c574cd0c1a7b6df2c18c60c182e0508a505f546a968c3e84708dd88afd149913378afda9bdd812898991fc7e950b1a9d0e687b89eefb5395b20af4ac41f8f40ba785bdb8680a4e31aa8ef18c4fe429b9738,
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def tc_s99_98 : TCert where
  dd := 5
  Lam := 1267650600228229401496703205376
  an := -99
  ad := 100
  bn := -49
  bd := 50
  e := 18321328772086594975243821493240
  cal := 196716015344869644149605793792
  cbe := 241817621844084480983959601152
  HA := [797365461572183078406633553920, 16025412608355265250481668100, -151278023683980821476684070910, 74705217473237113335695015940, 21567711284796262843517239300, -36805660914289044729926516740, 16408896431708367473940103170, -3434413106196568845710262270, 279933649780616653193609220, -23847445422968619774509060, 9942731389414740464762880]
  HB := [896360554364406211288714182656, 448204225820639042415244607488, 335409845592773549393799282688, 281429925744898139211297718272, 264135495720849409018897104896, 212698247747561196797848190976, 44363189177641968867978772480, -36571421008310631160013127680, -168320549742625761689337856, 639390523988483643682062336, 38373815406455766908928000]
  HC := [896272806971925302746787348478, 447579796670989132494924677118, 337083795092908443706396246014, 293278130598040402764083757054, 260149340801328350366793727998, 169714565744600114773522120704, 45467664045654219316973797374, -13261872023546618360545411074, -7947202321985676871924187136, 160864310051072999367376896, 260005035813430913897857026]
  ψBa := [-36946934047312316743720894464, 22817490152372841084736241664, 31769129494025917057088880640, 9765537433224603646639996928, 176717942002434391841592836096, -299456146683937528747357372416, -575105709869114899940453122048, 431883603885586688057368641536, 716585031596344707248541401088, -230485963591812111390004477952, -355371435539194142620246867968]
  ψCb := [-241817621844084480983959601154, 57067188067158912324971003904, 159685559912289584144061562878, 55180818880522725438032707584, 7634370290052207378522177534, 50778523934480903557672337406, 26610638432190084994033516542, -50030442104926967069518331904, -53445835376111910561691729920, -6862408115065924928097222654, 6195212245024254974679318528]
  FP := [tc_s99_98_FP0, tc_s99_98_FP1, tc_s99_98_FP2, tc_s99_98_FP3, tc_s99_98_FP4, tc_s99_98_FP5]
  FR := [tc_s99_98_FR0, tc_s99_98_FR1, tc_s99_98_FR2, tc_s99_98_FR3, tc_s99_98_FR4, tc_s99_98_FR5]
  mA := 5000
  mB := 100
  mG := 100
  SA := [tc_s99_98_SA0, tc_s99_98_SA1, tc_s99_98_SA2, tc_s99_98_SA3, tc_s99_98_SA4, tc_s99_98_SA5]
  SB := [tc_s99_98_SB0, tc_s99_98_SB1, tc_s99_98_SB2, tc_s99_98_SB3, tc_s99_98_SB4]
  SG := [tc_s99_98_SG0, tc_s99_98_SG1, tc_s99_98_SG2, tc_s99_98_SG3, tc_s99_98_SG4]

end Cert
end ThomsonN7

end Asm_s99_98_tc

section Asm_s99_98_1d
namespace ThomsonN7
namespace SlabOneD

namespace Slab_s99_98

def parHA : Par := ⟨199, 200, 99, 100⟩

def termHA_0 : Term :=
  ⟨false, false, false, [(nat_lit 227611268640000, [Int.ofNat (nat_lit 8589934592), Int.negSucc (nat_lit 5565098937), Int.negSucc (nat_lit 736762747), Int.negSucc (nat_lit 2843161155), Int.negSucc (nat_lit 996552753), Int.negSucc (nat_lit 1072931310), Int.negSucc (nat_lit 521420824), Int.ofNat (nat_lit 319463417), Int.ofNat (nat_lit 208724772), Int.ofNat (nat_lit 1413861389), Int.ofNat (nat_lit 1205006823)]), (nat_lit 200040197360000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 2162938863), Int.negSucc (nat_lit 1335272785), Int.negSucc (nat_lit 1188088156), Int.negSucc (nat_lit 806097547), Int.negSucc (nat_lit 361035495), Int.negSucc (nat_lit 235786793), Int.ofNat (nat_lit 360903016), Int.ofNat (nat_lit 377567344), Int.ofNat (nat_lit 1056021650)]), (nat_lit 176024612340000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 2234432002), Int.negSucc (nat_lit 1653754718), Int.negSucc (nat_lit 1166268064), 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0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)])]⟩

def termHA_1 : Term :=
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(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 1014495006100, [Int.ofNat (nat_lit 8589934592), Int.negSucc (nat_lit 1994371860), Int.ofNat (nat_lit 28848559), Int.negSucc (nat_lit 1445407606), Int.negSucc (nat_lit 575684809), Int.negSucc (nat_lit 1206613028), Int.negSucc (nat_lit 788344872), Int.negSucc (nat_lit 1037987479), Int.negSucc (nat_lit 949313012), Int.negSucc (nat_lit 826916894)]), (nat_lit 1283030650100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 724903712), Int.negSucc (nat_lit 439213036), Int.negSucc (nat_lit 628020892), Int.negSucc (nat_lit 471512397), Int.negSucc (nat_lit 562227287), Int.negSucc (nat_lit 504544303), Int.negSucc (nat_lit 503450832), Int.negSucc (nat_lit 555981309)]), (nat_lit 1230667379900, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 724222957), Int.negSucc (nat_lit 562176599), Int.negSucc (nat_lit 661717338), Int.negSucc (nat_lit 598107488), Int.negSucc (nat_lit 609851468), Int.negSucc (nat_lit 687940026), Int.negSucc (nat_lit 535935896)]), (nat_lit 1192658392200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 768232819), Int.negSucc (nat_lit 690282367), Int.negSucc (nat_lit 712853070), Int.negSucc (nat_lit 778424066), Int.negSucc (nat_lit 671433387), Int.negSucc (nat_lit 749388211)]), (nat_lit 1147153228800, [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 867788642), Int.negSucc (nat_lit 940877567), Int.negSucc (nat_lit 833915217), Int.negSucc (nat_lit 957457266), Int.negSucc (nat_lit 758866297)]), (nat_lit 1085087476800, [Int.ofNat (nat_lit 0), 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 1059544535), Int.negSucc (nat_lit 1175407047), Int.negSucc (nat_lit 1027441677), Int.negSucc (nat_lit 1086428539)]), (nat_lit 1002673798100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 1431700962), Int.negSucc (nat_lit 1568094335), Int.negSucc (nat_lit 1337810649)]), (nat_lit 891596273100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2184678771), Int.negSucc (nat_lit 2142342420)]), (nat_lit 2632997086700, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2158004556)]), (nat_lit 2773378895500, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 1906293903783424643200, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 266125830411796619200, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1363763656855450438400, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 910283852909144168000, [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 1190998463664355555200, [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 199075131513501377600, [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 736731347775697384000, [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 1463118923272392334400, [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 2398197146891267224000, [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 298364878797782975786625600, [Int.ofNat (nat_lit 1)]), (nat_lit 2536974525977478588700, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 2324168780336232429500, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 250568806676623148200, [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 797628516700880109900, [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 2012393309678109498500, [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 1715925103474633050400, [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 1989983894447512799500, [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 1648848043001023353500, [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 298358314219536306486958900, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 2030597328106782464400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 855081144396750598100, [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 1701256079869310864700, [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 1343754546896341726100, [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 2884443776149062645600, [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 209708394374726933400, [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 351396527744763626300, [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 298362382177619950194914100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 999059467259393422900, [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 1351681937632570673100, [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 1034614429036173041300, [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 1484310102903515040200, [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 2187076594920156715000, [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 2045847522046158816500, [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 298358593059184282351214100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 853957251589246496000, [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 1209545221614929969000, [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 1028351049481880251200, [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 765368024610217880300, [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 2351530453514453475600, [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 298366158280439529636085000, [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 1200008015959858289000, [Int.ofNat (nat_lit 0), 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 390765819868693447900, [Int.ofNat (nat_lit 0), 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 371048816300659463000, [Int.ofNat (nat_lit 0), 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 854967926694193381600, [Int.ofNat (nat_lit 0), 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 298368149588235610788488400, [Int.ofNat (nat_lit 0), 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 317729715318541286700, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 1149050727864033421800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 843745713942959262200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 298367739672375077100664800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 814301989629074517700, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2665028910371816651900, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 298363891838344868526826200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 170420226543113839400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 298366699858801150171262600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 298362496070819363839128000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 1167670457400, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 342329237), Int.negSucc (nat_lit 629227567), Int.negSucc (nat_lit 441282814), Int.negSucc (nat_lit 568944336), Int.negSucc (nat_lit 456942003), Int.negSucc (nat_lit 527521468), Int.negSucc (nat_lit 470882684), Int.negSucc (nat_lit 456771733), Int.negSucc (nat_lit 510676479)]), (nat_lit 1180151706500, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 498083702), Int.negSucc (nat_lit 641049026), Int.negSucc (nat_lit 516472015), Int.negSucc (nat_lit 593230487), Int.negSucc (nat_lit 536852568), Int.negSucc (nat_lit 549204459), Int.negSucc (nat_lit 586107404), Int.negSucc (nat_lit 470673107)]), (nat_lit 1180725822900, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 599054888), Int.negSucc (nat_lit 654953173), Int.negSucc (nat_lit 617687830), Int.negSucc (nat_lit 613503194), Int.negSucc (nat_lit 694574739), Int.negSucc (nat_lit 540339929), Int.negSucc (nat_lit 661828707)]), (nat_lit 1162977670900, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 727549615), Int.negSucc (nat_lit 732900087), Int.negSucc (nat_lit 811654137), Int.negSucc (nat_lit 697106987), Int.negSucc (nat_lit 786884802), Int.negSucc (nat_lit 613425787)]), (nat_lit 1147437501500, [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 952639991), Int.negSucc (nat_lit 821676691), Int.negSucc (nat_lit 962716151), Int.negSucc (nat_lit 745271530), Int.negSucc (nat_lit 876445063)]), (nat_lit 1098783438400, [Int.ofNat (nat_lit 0), 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 1211092764), Int.negSucc (nat_lit 1051083196), Int.negSucc (nat_lit 1127223994), Int.negSucc 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def termHA_4 : Term :=
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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 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 22440792982631544597, [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 73692500009619440709022302753, [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 1261256799589857120, [Int.ofNat (nat_lit 0), 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 21815611525034109861, [Int.ofNat (nat_lit 0), 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 5335752136366152425, [Int.ofNat (nat_lit 0), 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 73692500020854454115820392796, [Int.ofNat (nat_lit 0), 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 20006759100738255138, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 12850897480137762896, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 73692499994633904360617853589, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 9054221292146000943, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 73692499978820341880758649256, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 73692500018732253692649369235, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 24698481917, [Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 138470386), Int.negSucc (nat_lit 35693267), Int.negSucc (nat_lit 83634352), Int.negSucc (nat_lit 46715276), Int.negSucc (nat_lit 80956186), Int.negSucc (nat_lit 49123063), Int.negSucc (nat_lit 113924513), Int.negSucc (nat_lit 48290116)]), (nat_lit 24134700526, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 87289630), Int.negSucc (nat_lit 52100032), Int.negSucc (nat_lit 85042897), Int.negSucc (nat_lit 55282275), Int.negSucc (nat_lit 119737853), Int.negSucc (nat_lit 56838834), Int.negSucc (nat_lit 73413126)]), (nat_lit 24024748750, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 86274956), Int.negSucc (nat_lit 55489969), Int.negSucc (nat_lit 121370934), Int.negSucc (nat_lit 59658093), Int.negSucc (nat_lit 75872388), Int.negSucc (nat_lit 62701143)]), (nat_lit 23952189992, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 124182581), Int.negSucc (nat_lit 63095037), Int.negSucc (nat_lit 80516651), Int.negSucc (nat_lit 68162113), Int.negSucc (nat_lit 56399323)]), (nat_lit 23864151791, [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 84659969), Int.negSucc (nat_lit 72799915), Int.negSucc (nat_lit 61225774), Int.negSucc (nat_lit 83547277)]), (nat_lit 23749358046, [Int.ofNat (nat_lit 0), 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 66601689), Int.negSucc (nat_lit 89512546), Int.negSucc (nat_lit 52121181)]), (nat_lit 23588403440, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 55042907), Int.negSucc (nat_lit 113770741)]), (nat_lit 23416175454, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 237414581)]), (nat_lit 22792218317, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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)]), (nat_lit 7885407925212505408, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 7561254364244549888, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 6643281075552170752, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 3638552783522239168, [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 13302716681058187392, [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 18475985640722013824, [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 20344256677466502976, [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 21340267890777433728, [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 79366091437992252759076064896, [Int.ofNat (nat_lit 1)]), (nat_lit 14012539734877854516, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 22428176326917562697, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 25282295297432926021, [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 12818580984660207325, [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 1881440559035205064, [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 11037806879323319726, [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 3031046979740062147, [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 79366091438499031791638912419, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 6661121920379352234, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 10837908823541797000, [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 2872030583355162572, [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 26022289768753378108, [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 22218863904124048094, [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 7326055948534554514, [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 79366091437705363006440199780, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 8322591573957408751, [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 21310312180739802863, [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 5804792228675321936, [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 3287441927481718030, [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 8450959773543530099, [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 79366091453199457905514920853, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 25004171761597208343, [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 8182688996017658232, [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 1688127201913895278, [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 21171642646842035199, [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 79366091428184079314617114739, [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 7751352016214441052, [Int.ofNat (nat_lit 0), 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 3949770281147830034, [Int.ofNat (nat_lit 0), 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 20826978118814776903, [Int.ofNat (nat_lit 0), 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 79366091428085323786426882685, [Int.ofNat (nat_lit 0), 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 22222962691573757568, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 347416170194339372, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 79366091445293348750315018772, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 17983954216996037742, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 79366091440275856679155658123, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 79366091433793259043297058665, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 20000
  Lam := nat_lit 1267650600228229401496703205376
  Q := [Int.ofNat (nat_lit 797365461572183078406633553920), Int.ofNat (nat_lit 16025412608355265250481668100), Int.negSucc (nat_lit 151278023683980821476684070909), Int.ofNat (nat_lit 74705217473237113335695015940), Int.ofNat (nat_lit 21567711284796262843517239300), Int.negSucc (nat_lit 36805660914289044729926516739), Int.ofNat (nat_lit 16408896431708367473940103170), Int.negSucc (nat_lit 3434413106196568845710262269), Int.ofNat (nat_lit 279933649780616653193609220), Int.negSucc (nat_lit 23847445422968619774509059), Int.ofNat (nat_lit 9942731389414740464762880)]
  terms := [termHA_0, termHA_1, termHA_2, termHA_3, termHA_4, termHA_5, termHA_6, termHA_7]

def parHB : Par := ⟨199, 200, 0, 0⟩

def termHB_0 : Term :=
  ⟨false, false, false, [(nat_lit 4805544229800, [Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3478763169), Int.ofNat (nat_lit 2541987533), Int.ofNat (nat_lit 156767218), Int.ofNat (nat_lit 866984539), Int.ofNat (nat_lit 1050756581), Int.negSucc (nat_lit 1814715975), Int.negSucc (nat_lit 2076820610), Int.ofNat (nat_lit 623834760), Int.negSucc (nat_lit 558214102), Int.ofNat (nat_lit 1722902082)]), (nat_lit 5282963896600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3633910061), Int.ofNat (nat_lit 2398043917), Int.ofNat (nat_lit 2169530125), Int.negSucc (nat_lit 1163197784), Int.negSucc (nat_lit 463829242), Int.ofNat (nat_lit 38927170), Int.negSucc (nat_lit 2080209742), Int.ofNat (nat_lit 290008982), Int.ofNat (nat_lit 1446925184)]), (nat_lit 5181458717000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 1767932432), Int.ofNat (nat_lit 1038816650), Int.ofNat (nat_lit 938917933), Int.ofNat (nat_lit 660212568), Int.negSucc (nat_lit 1418131377), Int.negSucc (nat_lit 1190058219), Int.ofNat (nat_lit 794286720), Int.ofNat (nat_lit 431896836)]), (nat_lit 5311591433800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 2015749322), Int.ofNat (nat_lit 2191622258), Int.negSucc (nat_lit 74962641), Int.negSucc (nat_lit 751256694), Int.ofNat (nat_lit 175445519), Int.negSucc (nat_lit 428922039), Int.ofNat (nat_lit 364759140)]), (nat_lit 1964762021000, [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 3021218833), Int.ofNat (nat_lit 1470932981), Int.ofNat (nat_lit 1767485420), Int.negSucc (nat_lit 400332244), Int.negSucc (nat_lit 1327334130), Int.ofNat (nat_lit 404252221)]), (nat_lit 1911718310000, [Int.ofNat (nat_lit 0), 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 2601423082), Int.ofNat (nat_lit 861895734), Int.ofNat (nat_lit 935887096), Int.ofNat (nat_lit 1083990673), Int.negSucc (nat_lit 1384466705)]), (nat_lit 2296763525000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2961242828), Int.ofNat (nat_lit 2205905739), Int.ofNat (nat_lit 236397636), Int.negSucc (nat_lit 543096745)]), (nat_lit 2860221726800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2394853756), Int.ofNat (nat_lit 1285196032), Int.ofNat (nat_lit 80306516)]), (nat_lit 2546614747800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2424464033), Int.ofNat (nat_lit 1384016998)]), (nat_lit 3523454105600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 300695332)]), (nat_lit 1874340959000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 1463532520719794176000, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 2153772855886616985600, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1597434450363960524800, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), 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def termHB_1 : Term :=
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def termHB_2 : Term :=
  ⟨false, true, false, [(nat_lit 16888866851, [Int.ofNat (nat_lit 8589934592), Int.negSucc (nat_lit 17029185944), Int.negSucc (nat_lit 10742935487), Int.ofNat (nat_lit 18554393983), Int.ofNat (nat_lit 19979705787), Int.negSucc (nat_lit 7206943975), Int.negSucc (nat_lit 4517245652), Int.negSucc (nat_lit 6935556517), Int.negSucc (nat_lit 5330362835), Int.ofNat (nat_lit 1308259049)]), (nat_lit 20479521433, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 6472704114), Int.ofNat (nat_lit 3805838268), Int.ofNat (nat_lit 2870369461), Int.negSucc (nat_lit 3108653725), Int.ofNat (nat_lit 3270340715), Int.ofNat (nat_lit 63811505), Int.negSucc (nat_lit 4196833125), Int.ofNat (nat_lit 1184033226)]), (nat_lit 10387555885, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3366234557), Int.ofNat (nat_lit 1858229257), Int.ofNat (nat_lit 1587101474), Int.ofNat (nat_lit 1272782622), Int.negSucc (nat_lit 2384785221), Int.negSucc (nat_lit 2023564456), Int.ofNat (nat_lit 1959888540)]), (nat_lit 28310243817, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 1433503847), Int.ofNat (nat_lit 800596467), Int.negSucc (nat_lit 128461212), Int.ofNat (nat_lit 536302723), Int.ofNat (nat_lit 670347946), Int.negSucc (nat_lit 1038732515)]), (nat_lit 21511654955, [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 3115979780), Int.ofNat (nat_lit 1467305686), Int.ofNat (nat_lit 1803641312), Int.negSucc (nat_lit 84237011), Int.negSucc (nat_lit 1233666523)]), (nat_lit 23589514863, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 1283001741), Int.ofNat (nat_lit 616796571), Int.ofNat (nat_lit 364363129), Int.negSucc (nat_lit 202090054)]), (nat_lit 13071292990, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2673531041), Int.ofNat (nat_lit 1781471412), Int.negSucc (nat_lit 119889882)]), (nat_lit 17545599102, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2520654116), Int.ofNat (nat_lit 1497199971)]), (nat_lit 8828255942, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 615516797)]), (nat_lit 10676248485, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 76595998343070170960, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 6200385809172938896, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 100690378200054349664, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 70261939316777721696, [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 109413261973503508608, [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 29362770381027884976, [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 73779776026211540944, [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 31308403880904286112, [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 41285151393908162592, [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 499803784524222210740688, [Int.ofNat (nat_lit 1)]), (nat_lit 61797596059913393600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 171232898475775443627, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 103625664731294060759, [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 206906351176733425464, [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 63814483685025805495, [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 124327338732773755470, [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 85135656457548724636, [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 78532018553864457629, [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 499449712618649712448453, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1346167697980730716, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 46617879480531379671, [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 104219805531454202182, [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 102057073470002088919, [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 63602752276734188571, [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 9081354787046044658, [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 52762988557421872018, [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 499903502688559651734640, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 123470917656397150347, [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 218119400192167954596, [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 46874819733678920001, [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 163286007625896277778, [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 73974488864361627638, [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 82001249461838541003, [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 499490144903835563914911, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 204822902144784902788, [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 88760295852991917848, [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 182850825699414927281, [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 88169407410420614911, [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 90440077580370279273, [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 499362531409810338879801, [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 27896141178576257551, [Int.ofNat (nat_lit 0), 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 137578106872281162089, [Int.ofNat (nat_lit 0), 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 6816021987019980292, [Int.ofNat (nat_lit 0), 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 25678101684292789884, [Int.ofNat (nat_lit 0), 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 499412016427082013908262, [Int.ofNat (nat_lit 0), 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 38757174639255450580, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 57618232470637236408, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 23375254112023435289, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 499790838039196783341084, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 45444716474830800645, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 97696407771959130645, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 499507111558818154100500, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 25429073039027671625, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 499859609018100076156145, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 499823747364831783651776, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 9648485224, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 11275024834), Int.negSucc (nat_lit 1692866004), Int.ofNat (nat_lit 20187892585), Int.negSucc (nat_lit 6933857093), Int.negSucc (nat_lit 4235607804), Int.ofNat (nat_lit 3365653769), Int.negSucc (nat_lit 9948850183), Int.ofNat (nat_lit 3784200674), Int.ofNat (nat_lit 2089266933)]), (nat_lit 9078423948, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3540194904), Int.ofNat (nat_lit 2736140991), Int.negSucc (nat_lit 156573501), Int.ofNat (nat_lit 1770989289), Int.ofNat (nat_lit 664514016), Int.negSucc (nat_lit 4746909588), Int.ofNat (nat_lit 496409162), Int.ofNat (nat_lit 1705517149)]), (nat_lit 10586245487, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 4331754888), Int.ofNat (nat_lit 4559537606), Int.ofNat (nat_lit 1140817220), Int.negSucc (nat_lit 2390167958), Int.negSucc (nat_lit 352606759), Int.negSucc (nat_lit 1812024397), Int.ofNat (nat_lit 2191232340)]), (nat_lit 11129378683, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2632589123), Int.ofNat (nat_lit 337010781), Int.ofNat (nat_lit 1789365397), Int.ofNat (nat_lit 468873481), Int.ofNat (nat_lit 385075752), Int.negSucc (nat_lit 1570450614)]), (nat_lit 9098994106, [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 3468758606), Int.ofNat (nat_lit 2916352078), Int.ofNat (nat_lit 450320176), Int.negSucc (nat_lit 739251611), Int.negSucc (nat_lit 266500790)]), (nat_lit 12817266856, [Int.ofNat (nat_lit 0), 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 2830964321), Int.ofNat (nat_lit 1218256979), Int.ofNat (nat_lit 1928296122), Int.negSucc (nat_lit 1380884620)]), (nat_lit 12258364834, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2752599249), Int.ofNat (nat_lit 2000799262), Int.negSucc (nat_lit 267666309)]), (nat_lit 25324427102, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2560371658), Int.ofNat (nat_lit 1543965005)]), (nat_lit 9187447925, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 614612980)]), (nat_lit 10531422173, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 17133355288767823760, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 19462399098817883680, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 8655265080761024560, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 13180422795214102624, [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 4909303323820064720, [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 3324147681436162224, [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 15071871623213580464, [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 9105713327710157696, [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 18367457537460493232, [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 501054264061580802113856, [Int.ofNat (nat_lit 1)]), (nat_lit 47611600234935197960, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 58145597332720890232, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 46073872395775633744, [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 99431364891519272, [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 16457210230927586872, [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 56364393009011056368, [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 19804449829841047936, [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 48288145274499734872, [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 500917329745789803463936, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 111361809441382157428, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 45704624259078909112, [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 587546939213839900, [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 20953997974086020088, [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 65152662932838578740, [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 29758421755259737016, [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 14846483223728540700, [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 500853100257525570385964, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 84095665288397743438, [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 25129813680634787856, [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 41130947540000145191, [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 47760767200382441220, [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 17145055369473158074, [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 109725466566160455552, [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 500699420377779847672126, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 3759249250517305484, [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 41597359111021028510, [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 40995906592290844580, [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 15524733397576672836, [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 66999442259817509196, [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 500868942196287612665424, [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 22139877281589488299, [Int.ofNat (nat_lit 0), 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 19571702951848797819, [Int.ofNat (nat_lit 0), 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 7963972360102495168, [Int.ofNat (nat_lit 0), 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 20050764867116167579, [Int.ofNat (nat_lit 0), 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 501085474476119622013582, [Int.ofNat (nat_lit 0), 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 5628115438390676295, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 26716055462524657082, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 22914205709019033519, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 500983217627388796221582, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 21536871985219740168, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 9968844246278131361, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 500935418778996781250866, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 26406219838880205862, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 500908798395727746983120, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 500867794034224218358459, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 896360554364406211288714182656), Int.ofNat (nat_lit 448204225820639042415244607488), Int.ofNat (nat_lit 335409845592773549393799282688), Int.ofNat (nat_lit 281429925744898139211297718272), Int.ofNat (nat_lit 264135495720849409018897104896), Int.ofNat (nat_lit 212698247747561196797848190976), Int.ofNat (nat_lit 44363189177641968867978772480), Int.negSucc (nat_lit 36571421008310631160013127679), Int.negSucc (nat_lit 168320549742625761689337855), Int.ofNat (nat_lit 639390523988483643682062336), Int.ofNat (nat_lit 38373815406455766908928000)]
  terms := [termHB_0, termHB_1, termHB_2, termHB_3]

def parHC : Par := ⟨199, 200, 0, 0⟩

def termHC_0 : Term :=
  ⟨false, false, false, [(nat_lit 4838942335000, [Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 5659552596), Int.ofNat (nat_lit 1571444937), Int.ofNat (nat_lit 1841150517), Int.ofNat (nat_lit 2982301782), Int.ofNat (nat_lit 1447467315), Int.negSucc (nat_lit 3133812980), Int.negSucc (nat_lit 2273881585), Int.negSucc (nat_lit 743338403), Int.negSucc (nat_lit 1059658319), Int.ofNat (nat_lit 2896286589)]), (nat_lit 1816429734800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 6992300609), Int.ofNat (nat_lit 4503798447), Int.ofNat (nat_lit 4030816814), Int.negSucc (nat_lit 3395235273), Int.ofNat (nat_lit 230410831), Int.ofNat (nat_lit 1369405780), Int.negSucc (nat_lit 3776908379), Int.ofNat (nat_lit 9566876), Int.ofNat (nat_lit 1881110059)]), (nat_lit 6397376897400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 1641165596), Int.ofNat (nat_lit 687354390), Int.ofNat (nat_lit 1151876297), Int.ofNat (nat_lit 615069795), Int.negSucc (nat_lit 1467563695), Int.negSucc (nat_lit 833830096), Int.ofNat (nat_lit 849558542), Int.ofNat (nat_lit 103684891)]), (nat_lit 5350884818800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 2013239973), Int.ofNat (nat_lit 2189279092), Int.negSucc (nat_lit 218201209), Int.negSucc (nat_lit 452992371), Int.ofNat (nat_lit 101798382), Int.negSucc (nat_lit 610088199), Int.ofNat (nat_lit 467896964)]), (nat_lit 6537762326800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 1633243380), Int.ofNat (nat_lit 929970332), Int.ofNat (nat_lit 1198641712), Int.negSucc (nat_lit 698851619), Int.negSucc (nat_lit 944915650), Int.ofNat (nat_lit 613680063)]), (nat_lit 5147872668000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 1227836510), Int.ofNat (nat_lit 482185227), Int.ofNat (nat_lit 260392690), Int.ofNat (nat_lit 350907474), Int.negSucc (nat_lit 399103293)]), (nat_lit 2509036217800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2850866351), Int.ofNat (nat_lit 1881676565), Int.ofNat (nat_lit 572384703), Int.negSucc (nat_lit 672354178)]), (nat_lit 6542902161600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 1283529054), Int.ofNat (nat_lit 945442446), Int.negSucc (nat_lit 194266853)]), (nat_lit 6394789846200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 1107628152), Int.ofNat (nat_lit 575492935)]), (nat_lit 1969326623000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 125819604)]), (nat_lit 2107373912000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 16777216)]), (nat_lit 2995707850866805964800, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 3063967115680789299200, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 3191932091843615129600, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat 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def termHC_1 : Term :=
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def termHC_2 : Term :=
  ⟨false, true, false, [(nat_lit 15746418258, [Int.ofNat (nat_lit 8589934592), Int.negSucc (nat_lit 16629575977), Int.negSucc (nat_lit 11814530482), Int.ofNat (nat_lit 19736463293), Int.ofNat (nat_lit 19872244162), Int.negSucc (nat_lit 9710127409), Int.negSucc (nat_lit 5055191154), Int.negSucc (nat_lit 6680694409), Int.negSucc (nat_lit 6084864318), Int.ofNat (nat_lit 7415462679)]), (nat_lit 16590734770, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 6618979467), Int.ofNat (nat_lit 4268761003), Int.ofNat (nat_lit 3085012136), Int.negSucc (nat_lit 4320080442), Int.ofNat (nat_lit 2842905694), Int.ofNat (nat_lit 841072284), Int.negSucc (nat_lit 3747079103), Int.ofNat (nat_lit 1443397222)]), (nat_lit 16936869314, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3081669417), Int.ofNat (nat_lit 831556649), Int.ofNat (nat_lit 2809371028), Int.ofNat (nat_lit 694153381), Int.negSucc (nat_lit 2740920176), Int.negSucc (nat_lit 971304115), Int.ofNat (nat_lit 1380655196)]), (nat_lit 9115085266, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2601233846), Int.ofNat (nat_lit 1043205005), Int.negSucc (nat_lit 657790964), Int.ofNat (nat_lit 2252249777), Int.ofNat (nat_lit 718779604), Int.negSucc (nat_lit 1863548671)]), (nat_lit 27343684943, [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 3057980133), Int.ofNat (nat_lit 1458480384), Int.ofNat (nat_lit 1437538778), Int.ofNat (nat_lit 64243430), Int.negSucc (nat_lit 994193492)]), (nat_lit 15504260973, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 1290357809), Int.ofNat (nat_lit 676684709), Int.ofNat (nat_lit 378297084), Int.negSucc (nat_lit 293719518)]), (nat_lit 11174239976, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2864897909), Int.ofNat (nat_lit 2456873454), Int.negSucc (nat_lit 653981131)]), (nat_lit 16712054123, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2307214726), Int.ofNat (nat_lit 1248026048)]), (nat_lit 10424282176, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 274938733)]), (nat_lit 15239136335, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 16777216)]), (nat_lit 37682985830832963392, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 97087021488191373312, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 152687095943225212752, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 80798566520889278368, [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 43854540257787117440, [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 96287014463893770320, [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 64342274052835934240, [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 6190558228498743216, [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 6366366419011174544, [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 500778614859093051404704, [Int.ofNat (nat_lit 1)]), (nat_lit 92558264597005535588, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 158898424587319373548, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 9710242654878826072, [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 3512064241427762840, [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 153435257384991615540, [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 69392339726475631320, [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 25041859052013958716, [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 54608425101117035276, [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 500663191648150742853556, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 270423985622593600570, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 198071383149239213236, [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 143060220708647646172, [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 133671788742909743454, [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 135614286325857557972, [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 15370807122539376470, [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 6941552228633611770, [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 500452349719588644153550, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 262997376593881385008, [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 128529081175822116394, [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 258283535615311646898, [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 229994270820561002072, [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 4230781767654555242, [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 13844515458675297494, [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 500206338647158521706298, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 73018358016472641690, [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 176985984075046764884, [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 133540835035828116040, [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 26278970387670527628, [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 49037403032865830548, [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 500431511978406947938578, [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 88707624035491782306, [Int.ofNat (nat_lit 0), 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 96213014685852605666, [Int.ofNat (nat_lit 0), 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 63493186421043195432, [Int.ofNat (nat_lit 0), 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 6417024503748214446, [Int.ofNat (nat_lit 0), 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 500712116801870995733238, [Int.ofNat (nat_lit 0), 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 54968058594656563002, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 77654941710092647678, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 54254327839108482380, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 500349382983625162364480, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 42310860215970582660, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 1721807774646761041, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 500535255665389030111974, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 27970560374238593448, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 501022584870333501047805, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 501020930172738950864735, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 34011407427, [Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 5391998925), Int.negSucc (nat_lit 970231388), Int.ofNat (nat_lit 8282301419), Int.negSucc (nat_lit 1032063467), Int.negSucc (nat_lit 2474476664), Int.ofNat (nat_lit 1454847213), Int.negSucc (nat_lit 3488060918), Int.negSucc (nat_lit 1795104530), Int.ofNat (nat_lit 3269542438)]), (nat_lit 13071240277, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3213476086), Int.ofNat (nat_lit 1499746440), Int.ofNat (nat_lit 982711961), Int.ofNat (nat_lit 2276370590), Int.negSucc (nat_lit 435525840), Int.negSucc (nat_lit 4131729650), Int.ofNat (nat_lit 53654150), Int.ofNat (nat_lit 1907556136)]), (nat_lit 24931066528, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 4126730858), Int.ofNat (nat_lit 3790523926), Int.ofNat (nat_lit 1899197148), Int.negSucc (nat_lit 2534107805), Int.negSucc (nat_lit 229868053), Int.negSucc (nat_lit 1600966964), Int.ofNat (nat_lit 1741991777)]), (nat_lit 25926864282, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 1314153727), Int.ofNat (nat_lit 80101245), Int.ofNat (nat_lit 1105222347), Int.ofNat (nat_lit 466229019), Int.negSucc (nat_lit 957047289), Int.ofNat (nat_lit 73242826)]), (nat_lit 27289988414, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 1662423622), Int.ofNat (nat_lit 1423172667), Int.negSucc (nat_lit 308965456), Int.ofNat (nat_lit 475519610), Int.negSucc (nat_lit 468423272)]), (nat_lit 13291339430, [Int.ofNat (nat_lit 0), 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 2794836412), Int.ofNat (nat_lit 831270787), Int.ofNat (nat_lit 2664592513), Int.negSucc (nat_lit 1777960383)]), (nat_lit 30815954518, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 536870912), Int.negSucc (nat_lit 1281737122), Int.ofNat (nat_lit 904674507), Int.negSucc (nat_lit 151948478)]), (nat_lit 20265768796, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2326922458), Int.ofNat (nat_lit 1268311881)]), (nat_lit 12382672623, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 275567988)]), (nat_lit 15469668220, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 16777216)]), (nat_lit 1068232514435547296, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 16853276434670911456, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 3184564319968821424, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 29162791743125291072, [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 33932585749967929440, [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 492215390967996448, [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 20914648906167091376, [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 32794174828881580224, [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 17507618542311440448, [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 501800472166801418636208, [Int.ofNat (nat_lit 1)]), (nat_lit 38409516601813679198, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 22069013490216862318, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 71007857936961058536, [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 81067208833202999450, [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 2315002196081679806, [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 39704503285011367610, [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 79368623821939227138, [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 48206645366085448348, [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 501561999632025096849696, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 64287405667698227035, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 26335065657960159863, [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 15509520309118565541, [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 3002494309799381512, [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 59581293808165808582, [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 34135826130502175437, [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 4131729429398639566, [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 501713943305018347558402, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 117296391577048998492, [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 135814824524891981161, [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 1903210381246169749, [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 93153446865352648577, [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 148699570533384960717, [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 120477406762503322054, [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 501208568000978376834350, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 45689854068760835670, [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 44435001704226489631, [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 74258031248479613275, [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 74629196817032638534, [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 11801329353651770480, [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 501496587371603891566250, [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 18228725028036574213, [Int.ofNat (nat_lit 0), 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 85067901828242215043, [Int.ofNat (nat_lit 0), 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 4680807656611662285, [Int.ofNat (nat_lit 0), 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 100955410561301733356, [Int.ofNat (nat_lit 0), 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 501353520267567608897218, [Int.ofNat (nat_lit 0), 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 26882440587560657228, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 42558439399671770151, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 45129582326522676276, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 501810230896796165653532, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 63616940935208184471, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 19233894033980598562, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 501536585348936438458328, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 22047415126984750724, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 501506883992773012014216, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 501531672977063145467679, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 896272806971925302746787348478), Int.ofNat (nat_lit 447579796670989132494924677118), Int.ofNat (nat_lit 337083795092908443706396246014), Int.ofNat (nat_lit 293278130598040402764083757054), Int.ofNat (nat_lit 260149340801328350366793727998), Int.ofNat (nat_lit 169714565744600114773522120704), Int.ofNat (nat_lit 45467664045654219316973797374), Int.negSucc (nat_lit 13261872023546618360545411073), Int.negSucc (nat_lit 7947202321985676871924187135), Int.ofNat (nat_lit 160864310051072999367376896), Int.ofNat (nat_lit 260005035813430913897857026)]
  terms := [termHC_0, termHC_1, termHC_2, termHC_3]

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

end Cert
end ThomsonN7

end Asm_s93_90_tc

section Asm_s93_90_1d
namespace ThomsonN7
namespace SlabOneD

namespace Slab_s93_90

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