Thomson $N=7$: certificate data for slab 2 ($-\tfrac{49}{50}\le t_{01}\le-\tfrac{24}{25}$), part 2 of 2

import Definitions.Def_ThomsonN7_slab_s98_96_data_1

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

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

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

open Real

namespace ThomsonN7

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

/- BEGIN M0 -/
namespace Base

open Finset

/-! ### Invariance -/

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

end Base
/- END M0 -/

/- BEGIN M1 -/
namespace ThreePoint

open Finset Matrix
open scoped RealInnerProductSpace

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

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

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

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

section Comb

variable {n : ℕ}

end Comb

section Comb2

variable {n : ℕ}

end Comb2

section Comb3

variable {n : ℕ}

end Comb3

section Comb4

variable {n : ℕ}

end Comb4

section Final

variable {n : ℕ}

end Final

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

section FinalZ

variable {n : ℕ}

end FinalZ

/- BEGIN M5 -/
section Critical

end Critical

section Critical

end Critical

section Critical

end Critical

section CriticalZ

variable {n : ℕ}

end CriticalZ

section CriticalZsym

variable {n : ℕ}

section Perm

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

include hτ

end Perm

end CriticalZsym

section CriticalFinal

variable {n : ℕ}

end CriticalFinal

/- END M5 -/

end ThreePoint

/- BEGIN CERT3 -/

/-!
# Kronecker-substitution checking of polynomial identities

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

namespace Kron

namespace Ex

end Ex

namespace Ex

end Ex

open Ex

end Kron

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

namespace Kron
namespace Ex

variable (u v t : ℝ)

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

end Ex
end Kron

/- BEGIN CERT1 -/
section Cert1Block

open Kron Kron.Ex

namespace Cert

open ThreePoint

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

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

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

namespace Blk

end Blk

end Cert

end Cert1Block

/- BEGIN CERT3FILE -/
section Cert3Block

open Kron Kron.Ex

namespace Cert

open ThreePoint

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

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

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

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

/-! ## SOS blocks with multipliers -/

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

open scoped RealInnerProductSpace

namespace Cert3

end Cert3

namespace Cert3

end Cert3

namespace Cert3

end Cert3

end Cert

end Cert3Block

/- END CERT3 -/

/- BEGIN M2 -/
namespace M2

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

namespace K8

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

end K8

namespace K8

end K8

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

namespace Pl

end Pl

open Pl

end M2
/- END M2 -/

/- BEGIN M3 -/
namespace M3

open scoped InnerProductSpace

end M3

/- BEGIN P3ext -/

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

namespace Base

end Base

/- END P3ext -/

/- BEGIN P1 -/

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

namespace Reg

open Base

end Reg

/- END P1 -/

/- BEGIN GAUGE -/

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

namespace Reg

open scoped RealInnerProductSpace

end Reg

/- END GAUGE -/

/- BEGIN P2 -/

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

open Base Finset

section vectors

variable (y : Fin 7 → R3)

end vectors

end RegB
/- END RegB -/

/- END P2 -/

/- BEGIN GV -/

namespace GV

open Base

open scoped InnerProductSpace

end GV

/- END GV -/

/- BEGIN TWOREGIME -/

namespace TwoRegime

open scoped InnerProductSpace

end TwoRegime

namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

/- END TWOREGIME -/

/- BEGIN TR_D -/
namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

/- END TR_D -/

/- BEGIN TR_E -/
namespace ThreePoint

open Finset Matrix
open scoped RealInnerProductSpace

section FinalCut

variable {n : ℕ}

end FinalCut

end ThreePoint

namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

/- END TR_E -/

/- BEGIN TR_G -/
namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

/- BEGIN TR_G3 -/
namespace TwoRegime

open scoped InnerProductSpace
open Base

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

open scoped InnerProductSpace
open Base

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

/- BEGIN INTERFACES -/
namespace Interfaces

open Finset Base

end Interfaces
/- END INTERFACES -/

/- BEGIN GLUE -/
namespace Glue

open Finset Base Interfaces

end Glue
/- END GLUE -/

/- BEGIN TR_F -/
namespace EPBounds

open Real

end EPBounds
/- END TR_F -/
end ThomsonN7

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

end Reg

/- END LOC1 -/

end ThomsonN7

/- BEGIN QCORE1 -/
namespace ThomsonN7
namespace Reg

end Reg
end ThomsonN7
/- END QCORE1 -/

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

end Reg
end ThomsonN7

/- END Q2 -/

/- BEGIN QCORE2 -/
namespace ThomsonN7
namespace Reg

end Reg
end ThomsonN7
/- END QCORE2 -/

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

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

end Reg
end ThomsonN7

/- END LOC2 -/

namespace ThomsonN7
namespace Reg

end Reg

end ThomsonN7

/- END REGLOCAL -/
end RegLocalSection

/- BEGIN CASE1 -/
namespace ThomsonN7
namespace CutOneD

end CutOneD
end ThomsonN7

namespace ThomsonN7

namespace Case1Data
open ThomsonN7 ThomsonN7.Cert

end Case1Data

end ThomsonN7

namespace ThomsonN7
namespace Case1

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

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

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

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

end Case1
end ThomsonN7

/- END CASE1 -/

/- BEGIN CASE2RED -/
namespace ThomsonN7
namespace Case1

section Case2Red

open scoped InnerProductSpace
open Base

end Case2Red

end Case1
end ThomsonN7
/- END CASE2RED -/

section Asm_Typed
open Finset Matrix
open scoped RealInnerProductSpace

namespace ThomsonN7
namespace ThreePoint

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

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

section TypedRoot

end TypedRoot

section TypedComb

variable {n : ℕ}

end TypedComb

end ThreePoint
end ThomsonN7

end Asm_Typed

section Asm_Typed2
open Finset Matrix
open scoped RealInnerProductSpace

namespace ThomsonN7
namespace ThreePoint

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

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

section TypedComb2

variable {n : ℕ}

end TypedComb2

end ThreePoint
end ThomsonN7

end Asm_Typed2

section Asm_Typed7
open Finset Matrix
open scoped RealInnerProductSpace

namespace ThomsonN7
namespace ThreePoint

section Sym

end Sym

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

section Typed7

end Typed7

end ThreePoint
end ThomsonN7

end Asm_Typed7

section Asm_T4
namespace ThomsonN7
namespace M6

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

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

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

end M6
end ThomsonN7

open scoped InnerProductSpace

namespace ThomsonN7
namespace T4

open M6

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

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

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

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

/-! ### Ring rigidity -/

end T4
end ThomsonN7

end Asm_T4

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

Abstract, numerics-independent assembly:

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

namespace ThomsonN7
namespace Glue

section Rooted

open scoped InnerProductSpace
open Base

end Rooted

section Typed

open scoped InnerProductSpace
open Base

end Typed

end Glue
end ThomsonN7

end Asm_Glue1

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

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

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

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

namespace ThomsonN7
namespace Glue

section Tube

open scoped InnerProductSpace
open Base

end Tube

end Glue
end ThomsonN7

end Asm_Glue2

section Asm_Glue2b
namespace ThomsonN7
namespace Glue
section TubeFromT4
open scoped RealInnerProductSpace

end TubeFromT4
end Glue
end ThomsonN7

end Asm_Glue2b

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

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

namespace ThomsonN7
namespace Glue

section Bridge

open scoped InnerProductSpace
open Base

end Bridge

section Assembly

open scoped InnerProductSpace
open Base

end Assembly

end Glue
end ThomsonN7

end Asm_Glue3

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

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

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

namespace ThomsonN7
namespace Glue

section Final

open scoped InnerProductSpace
open Base

end Final

end Glue
end ThomsonN7

end Asm_Glue4

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

namespace ThomsonN7
namespace Glue
section EPEnc
open Real

end EPEnc
end Glue
end ThomsonN7

end Asm_EPEnc

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

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

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

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

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

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

namespace ThomsonN7
namespace Glue
namespace Coerce

open CutOneD Base

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

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

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

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

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

end Coerce
end Glue
end ThomsonN7

end Asm_Coerce

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

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

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

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

namespace ThomsonN7
namespace Glue
namespace Coerce

open CutOneD Base

/-! ## A. One node -/

/-! ## B. Two nodes -/

end Coerce
end Glue
end ThomsonN7

end Asm_Coerce2

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

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

namespace ThomsonN7

open Kron Kron.Ex
namespace Cert

open ThreePoint

/-! ## Packed integer data -/

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

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

end Cert
end ThomsonN7

end Asm_CertF

section Asm_CertT
namespace ThomsonN7

open Kron Kron.Ex
namespace Cert

open ThreePoint

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

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

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

/-! ### Degrees -/

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

/-! ## Sums of expressions -/

/-! ## The hybrid check -/

end Cert
end ThomsonN7

namespace ThomsonN7

open Kron Kron.Ex
namespace Cert

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

end Cert
end ThomsonN7

namespace ThomsonN7

open Kron Kron.Ex
namespace Cert

open ThreePoint
open scoped RealInnerProductSpace

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

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

section RealSide

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

end RealSide

/-! ## The certificate -/

namespace TCert

variable (cf : TCert)

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

end TCert

end Cert
end ThomsonN7

end Asm_CertT

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

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

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

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

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

namespace ThomsonN7
namespace SlabOneD

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

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

end SlabOneD
end ThomsonN7

end Asm_SlabHead

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

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

namespace ThomsonN7
namespace Glue

section Bridge

open scoped InnerProductSpace
open Base

end Bridge

end Glue
end ThomsonN7

end Asm_Bridge

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

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

namespace ThomsonN7
namespace Glue

section Bridge1D

open scoped InnerProductSpace
open Base

end Bridge1D

end Glue
end ThomsonN7

end Asm_Bridge1D

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

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

namespace ThomsonN7
namespace Glue

section Bridge2

open scoped InnerProductSpace
open Base

end Bridge2

end Glue
end ThomsonN7

end Asm_Bridge2

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

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

namespace ThomsonN7
namespace Glue

section Bridge3

open scoped InnerProductSpace
open Base

end Bridge3

end Glue
end ThomsonN7

end Asm_Bridge3

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

end Cert
end ThomsonN7

end Asm_cap_tc

section Asm_cap_ct
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_cap_ct

section Asm_cap_capspec
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_cap_capspec

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

end Cert
end ThomsonN7

end Asm_s99_98_tc

section Asm_s99_98_1d
namespace ThomsonN7
namespace SlabOneD

namespace Slab_s99_98

end Slab_s99_98

end SlabOneD
end ThomsonN7

end Asm_s99_98_1d

section Asm_s99_98_spec
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_s99_98_spec

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

def tc_s98_96_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, 44, 36, 88,
  0xa4bcff0f420c80459119b8b9a92a583b0c5a5ebf15c8d401d355590b794f931838b120913f178d5002724e88bede897f8b8db3f06166c09e5b694d610dff71a3fb08a48783e72c8b86a0b39a50cdbc8abc36099922e4be90a1d1bfb6b68a6f696158c0c083434b238c803442a1b8,
  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,
  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def tc_s98_96_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, 32, 92,
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def tc_s98_96_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,
  0x85f08888332884a426405289678214b4883f3d45dec88cf363257ca888ab883a90899664c63aa8879ce8bf068796628431e8cb957e30c283faf5403e688c9fc5563084cef48608489629b2f54c84531002dd48eaef59a670892af8286f089316a2cb248d680244f808df0fabd3648ea275b6cda869fced56288cdefba42728c61921e4b088aa960f94485299082e928c48468bca08dc75bb6f288efdde0de3685534d67a5283f4a69ab168d62ca305ae8e16e61e9fa87a30cd85f284dd827ced4,
  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def tc_s98_96_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_s98_96_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_s98_96_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,
  0x94768e42e87094809e1101609513eb2936149cc068999450a3b519679700a15c677ffb549904f65be0a08fd16bf638c0930c1024154c9b61b8eb40f890c15000932ca779cdf3e224a77d49bd6e049df7acca76fca797f8f0d824a3d3c4a4930c937d9c6bb0989600a72780b8978060df3e809f029b5e984c,
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def tc_s98_96 : TCert where
  dd := 5
  Lam := 1267650600228229401496703205376
  an := -49
  ad := 50
  bn := -24
  bd := 25
  e := 18321328772086594975243821493240
  cal := 191600314005088927848605941760
  cbe := 238220984900742015325149593600
  HA := [876588421680149017002395041790, 101569860477589982919295762430, -192905353032900660512920961020, 66554413386845624442441170940, 48551731654111092621818462210, -51408196868424275712299499520, 17863605136666810727142522880, -1637453765788869061416845310, -613637536264355151395946500, 134416845055074693948637180, 2686378577415730825789440]
  HB := [896361010406221843057197711360, 448206224056815971506371690496, 335259119682352083741247012864, 281758766416056782673791680512, 262767159920307724916428374016, 216728152331293474036404715520, 84681126962979217788586950656, -10640827002109130853859721216, -10316215012486402720059621376, -386161320660807523353231360, 368009856026464128289734656]
  HC := [896330964558056690618864762880, 447884319902038819936281821184, 336068297906770835248454303742, 286965264076828432334399209470, 260075663362648117058708963328, 200577581036963692792135024638, 89308827470594300200211185662, 1807426897738498162806489090, -13483765074174831526322110464, -2051999976782390592228294654, 695001601948637699053191168]
  ψBa := [-35301421104004869611862360064, 100401884178651473614737506304, 84437039593993900324936482816, 51941802752626053974427959296, 113143895299590554046827593728, -230651789866147645083210481664, -184445401742458517787087208448, -12648281344200722493239984128, -157172986378814898219377491968, 105919170664820418845538779136, 161072450979421456011121131520]
  ψCb := [-238220984900742015325149593598, 108161572185019165494745235454, 155538260957261267242869325824, 61457307419330435075700424704, 6916717115083213693272457218, 20275542411474387173067718656, -36294760367244060307941752832, -72710787586482805767732723714, 16624351738091854044344614914, 71450347934932736317543415808, 28827585486855146774846242818]
  FP := [tc_s98_96_FP0, tc_s98_96_FP1, tc_s98_96_FP2, tc_s98_96_FP3, tc_s98_96_FP4, tc_s98_96_FP5]
  FR := [tc_s98_96_FR0, tc_s98_96_FR1, tc_s98_96_FR2, tc_s98_96_FR3, tc_s98_96_FR4, tc_s98_96_FR5]
  mA := 1250
  mB := 50
  mG := 50
  SA := [tc_s98_96_SA0, tc_s98_96_SA1, tc_s98_96_SA2, tc_s98_96_SA3, tc_s98_96_SA4, tc_s98_96_SA5]
  SB := [tc_s98_96_SB0, tc_s98_96_SB1, tc_s98_96_SB2, tc_s98_96_SB3, tc_s98_96_SB4]
  SG := [tc_s98_96_SG0, tc_s98_96_SG1, tc_s98_96_SG2, tc_s98_96_SG3, tc_s98_96_SG4]

end Cert
end ThomsonN7

end Asm_s98_96_tc

section Asm_s98_96_1d
namespace ThomsonN7
namespace SlabOneD

namespace Slab_s98_96

def parHA : Par := ⟨99, 100, 49, 50⟩

def termHA_0 : Term :=
  ⟨false, false, false, [(nat_lit 63862028085000, [Int.ofNat (nat_lit 8589934592), Int.negSucc (nat_lit 5617423816), Int.negSucc (nat_lit 906368044), Int.negSucc (nat_lit 2720615957), Int.negSucc (nat_lit 1051481727), Int.negSucc (nat_lit 943549440), Int.negSucc (nat_lit 544161483), Int.ofNat (nat_lit 401692220), Int.ofNat (nat_lit 190274976), Int.ofNat (nat_lit 1410254568), Int.ofNat (nat_lit 1195260339)]), (nat_lit 67530257855000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 2149274135), Int.negSucc (nat_lit 1430818779), Int.negSucc (nat_lit 1160761933), Int.negSucc (nat_lit 830315663), Int.negSucc (nat_lit 336879666), Int.negSucc (nat_lit 221150457), Int.ofNat (nat_lit 370611805), Int.ofNat (nat_lit 422507660), Int.ofNat (nat_lit 1042680520)]), (nat_lit 60397693550000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 2250190922), Int.negSucc (nat_lit 1693858046), Int.negSucc (nat_lit 1162742792), 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1)])]⟩

def termHA_1 : Term :=
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(nat_lit 1)])]⟩

def termHA_2 : Term :=
  ⟨false, true, false, [(nat_lit 564259677000, [Int.ofNat (nat_lit 8589934592), Int.negSucc (nat_lit 2281527189), Int.negSucc (nat_lit 213686042), Int.negSucc (nat_lit 1534276012), Int.negSucc (nat_lit 651223554), Int.negSucc (nat_lit 1173997671), Int.negSucc (nat_lit 758847339), Int.negSucc (nat_lit 901856364), Int.negSucc (nat_lit 843899131), Int.negSucc (nat_lit 611803890)]), (nat_lit 852774154850, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 786035775), Int.negSucc (nat_lit 545324365), Int.negSucc (nat_lit 644041227), Int.negSucc (nat_lit 509929435), Int.negSucc (nat_lit 541102944), Int.negSucc (nat_lit 498569858), Int.negSucc (nat_lit 449112904), Int.negSucc (nat_lit 504723041)]), (nat_lit 836132391600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 776917745), Int.negSucc (nat_lit 631352852), Int.negSucc (nat_lit 678082773), Int.negSucc (nat_lit 624277337), Int.negSucc (nat_lit 593638632), Int.negSucc (nat_lit 665657169), Int.negSucc (nat_lit 492250099)]), (nat_lit 817071160850, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 809594426), Int.negSucc (nat_lit 746733937), Int.negSucc (nat_lit 723419018), Int.negSucc (nat_lit 788709474), Int.negSucc (nat_lit 653304705), Int.negSucc (nat_lit 723645651)]), (nat_lit 788400277000, [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 905432196), Int.negSucc (nat_lit 972699881), Int.negSucc (nat_lit 845739223), Int.negSucc (nat_lit 949836385), Int.negSucc (nat_lit 749374775)]), (nat_lit 749292409950, [Int.ofNat (nat_lit 0), 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 1092580705), Int.negSucc (nat_lit 1197635438), Int.negSucc (nat_lit 1036958830), Int.negSucc (nat_lit 1076057127)]), (nat_lit 695868032950, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 1464811120), Int.negSucc (nat_lit 1560618474), Int.negSucc (nat_lit 1355654689)]), (nat_lit 618895484500, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2223835328), Int.negSucc (nat_lit 2135805376)]), (nat_lit 463080486400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 4337822557)]), (nat_lit 618122182250, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 67108864)]), (nat_lit 1303284279939366140000, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 650783254821971858000, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 1102516277507329992000, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 950133735624962440000, [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 826349562663676602000, [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 2032218491838553710000, [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 829492495125014020000, [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 1960220672255655922000, [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 1510091340941793024000, [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 253803678552912160875104000, [Int.ofNat (nat_lit 1)]), (nat_lit 818155220942969854400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 200123329600925189600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 839800071131627943200, [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 886758791730897778400, [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 921177941453509198000, [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 841558701756794340400, [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 49023485440787988000, [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 637938454371383264800, [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 253805368382073653906565600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 179653312247139165000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 1425225256329190775000, [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 857288365410557734800, [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 18605434169939744800, [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 865403732405758358600, [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 1228701694335954392000, [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 679686250023743147800, [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 253805160944001405649657400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1694849207778952555400, [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 1184592817826348701200, [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 2231836037706090825900, [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 764094024135777544700, [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 1462330971319231519900, [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 575067783293867672000, [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 253801953292443585835075500, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 387206899176143992900, [Int.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 244990370489399535450, [Int.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 150229291790197848850, [Int.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 1740901768101028054300, [Int.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 946718597922342920000, [Int.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 253803796004739962132621450, [Int.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 1715615377999751138300, [Int.ofNat (nat_lit 0), Int.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 108660915386677069300, [Int.ofNat (nat_lit 0), Int.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 1067286518255335815600, [Int.ofNat (nat_lit 0), Int.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 1439641078904184800, [Int.ofNat (nat_lit 0), Int.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 253806025368932987586887900, [Int.ofNat (nat_lit 0), Int.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 1452289585101074818500, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 1488065760359346351150, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 591422905445039376100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 253800997893356450972319900, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 217462136338159280050, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 907497091279766978200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 253804958819818912136541000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 754981210624003777100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 253801715214681192601105450, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 253806765551866254700420500, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 803338145900, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 560815025), Int.negSucc (nat_lit 657178840), Int.negSucc (nat_lit 524298718), Int.negSucc (nat_lit 558642349), Int.negSucc (nat_lit 470091287), Int.negSucc (nat_lit 480064328), Int.negSucc (nat_lit 438091204), Int.negSucc (nat_lit 378903175), Int.negSucc (nat_lit 431468249)]), (nat_lit 811991768000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 626584700), Int.negSucc (nat_lit 671306643), Int.negSucc (nat_lit 576201146), Int.negSucc (nat_lit 587431998), Int.negSucc (nat_lit 551484596), Int.negSucc (nat_lit 509931375), Int.negSucc (nat_lit 554086178), Int.negSucc (nat_lit 404306205)]), (nat_lit 813804319000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 688242898), Int.negSucc (nat_lit 684336575), Int.negSucc (nat_lit 661673163), Int.negSucc (nat_lit 613505198), Int.negSucc (nat_lit 687424884), Int.negSucc (nat_lit 517401587), Int.negSucc (nat_lit 612974459)]), (nat_lit 803166602400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 799269830), Int.negSucc (nat_lit 755315556), Int.negSucc (nat_lit 835261977), Int.negSucc (nat_lit 692971942), Int.negSucc (nat_lit 772128055), Int.negSucc (nat_lit 587936672)]), (nat_lit 792321540900, [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 999659940), Int.negSucc (nat_lit 852024905), Int.negSucc (nat_lit 968475292), Int.negSucc (nat_lit 759138536), Int.negSucc (nat_lit 843035879)]), (nat_lit 760414487250, [Int.ofNat (nat_lit 0), 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 1241714121), Int.negSucc (nat_lit 1072440902), Int.negSucc (nat_lit 1123067957), 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 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 10457074161434406197, [Int.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 118567813924682174186798044430, [Int.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 34619247328907167829, [Int.ofNat (nat_lit 0), Int.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 35820831681546244492, [Int.ofNat (nat_lit 0), Int.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 24848109207011496878, [Int.ofNat (nat_lit 0), Int.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 118567813908780398578814397176, [Int.ofNat (nat_lit 0), Int.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 12245740884836629652, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 30252952598195019269, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 118567813908336918609503523978, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 19156089615025700346, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 118567813891708047902593339942, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 118567813950543479895415465867, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 33870324902, [Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 20894276), Int.ofNat (nat_lit 27559987), Int.negSucc (nat_lit 18916563), Int.ofNat (nat_lit 4604533), Int.negSucc (nat_lit 39848991), Int.negSucc (nat_lit 8442007), Int.negSucc (nat_lit 78485209), Int.negSucc (nat_lit 17428726)]), (nat_lit 32933412075, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 18624477), Int.ofNat (nat_lit 4549698), Int.negSucc (nat_lit 39997920), Int.negSucc (nat_lit 8866403), Int.negSucc (nat_lit 80233671), Int.negSucc (nat_lit 19523522), Int.negSucc (nat_lit 45654425)]), (nat_lit 32593786605, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 40015962), Int.negSucc (nat_lit 8024174), Int.negSucc (nat_lit 80868734), Int.negSucc (nat_lit 21054878), Int.negSucc (nat_lit 45912534), Int.negSucc (nat_lit 36065884)]), (nat_lit 32385242864, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 81700370), Int.negSucc (nat_lit 22189349), Int.negSucc (nat_lit 48764456), Int.negSucc (nat_lit 38104755), Int.negSucc (nat_lit 33901909)]), (nat_lit 32161547370, [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 50418678), Int.negSucc (nat_lit 40519545), Int.negSucc (nat_lit 35409120), Int.negSucc (nat_lit 64004629)]), (nat_lit 31881736784, [Int.ofNat (nat_lit 0), 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 39372813), Int.negSucc (nat_lit 67266826), Int.negSucc (nat_lit 30157766)]), (nat_lit 31509375790, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 30357190), Int.negSucc (nat_lit 103135428)]), (nat_lit 31120664591, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 223869248)]), (nat_lit 30143035735, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 16075054001795585392, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 33542745675988257552, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 2520577009213393744, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 24087767343461364368, [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 2868314590737105968, [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 19419496810828048032, [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 13109870600467244160, [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 27944405058747012592, [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 119562447148554070593128832784, [Int.ofNat (nat_lit 1)]), (nat_lit 23608502327358577302, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 643153561352406456, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 13013869877033277782, [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 10151143832251340768, [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 2788900873789033632, [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 9481345319433968540, [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 17716031313764911742, [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 119562447193430156698306850028, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 28019923639457737356, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 32091967462767921892, [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 32806686264070182808, [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 8501988897520145152, [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 2135401949209693610, [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 20354170834355454502, [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 119562447107085768126931791168, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 10128508507423491261, [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 3871968534454161399, [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 33933929340174918705, [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 12734452682534454377, [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 5403202905503403089, [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 119562447190269208367620293420, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 19043027277401419913, [Int.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 31655891835773712955, [Int.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 18931581168714766794, [Int.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 12353218647982262317, [Int.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 119562447124431397083113355936, [Int.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 500340385228941529, [Int.ofNat (nat_lit 0), Int.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 29265600421771874431, [Int.ofNat (nat_lit 0), Int.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 6831131804128160499, [Int.ofNat (nat_lit 0), Int.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 119562447180386159522566494726, [Int.ofNat (nat_lit 0), Int.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 28769517502594979775, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 5089740518351030401, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 119562447157990695329744939606, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 32115578373558825139, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 119562447144233243323682338310, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 119562447164158194734084811339, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 5000
  Lam := nat_lit 1267650600228229401496703205376
  Q := [Int.ofNat (nat_lit 876588421680149017002395041790), Int.ofNat (nat_lit 101569860477589982919295762430), Int.negSucc (nat_lit 192905353032900660512920961019), Int.ofNat (nat_lit 66554413386845624442441170940), Int.ofNat (nat_lit 48551731654111092621818462210), Int.negSucc (nat_lit 51408196868424275712299499519), Int.ofNat (nat_lit 17863605136666810727142522880), Int.negSucc (nat_lit 1637453765788869061416845309), Int.negSucc (nat_lit 613637536264355151395946499), Int.ofNat (nat_lit 134416845055074693948637180), Int.ofNat (nat_lit 2686378577415730825789440)]
  terms := [termHA_0, termHA_1, termHA_2, termHA_3, termHA_4, termHA_5, termHA_6, termHA_7]

def parHB : Par := ⟨99, 100, 0, 0⟩

def termHB_0 : Term :=
  ⟨false, false, false, [(nat_lit 3064689756500, [Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3932561879), Int.ofNat (nat_lit 3939218468), Int.negSucc (nat_lit 327622309), Int.negSucc (nat_lit 729189059), Int.ofNat (nat_lit 1753943215), Int.negSucc (nat_lit 1342812382), Int.negSucc (nat_lit 2219422351), Int.ofNat (nat_lit 1154041671), Int.negSucc (nat_lit 338042692), Int.ofNat (nat_lit 1053478278)]), (nat_lit 2397778040200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3332496412), Int.ofNat (nat_lit 1392192434), Int.ofNat (nat_lit 2622681284), Int.negSucc (nat_lit 80068897), Int.negSucc (nat_lit 897196525), Int.negSucc (nat_lit 255548608), Int.negSucc (nat_lit 2286546354), Int.negSucc (nat_lit 522472333), Int.ofNat (nat_lit 2387602987)]), (nat_lit 1192454139500, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3685608811), Int.ofNat (nat_lit 2572745700), Int.ofNat (nat_lit 1720249948), Int.ofNat (nat_lit 343108533), Int.negSucc (nat_lit 2013927227), Int.negSucc (nat_lit 1948002769), Int.ofNat (nat_lit 1100191377), Int.ofNat (nat_lit 882183913)]), (nat_lit 1071549983300, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3805632413), Int.ofNat (nat_lit 3746453207), Int.ofNat (nat_lit 387795007), Int.negSucc (nat_lit 2010877157), Int.ofNat (nat_lit 610724009), Int.ofNat (nat_lit 176661697), Int.negSucc (nat_lit 213913434)]), (nat_lit 1899701981700, [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 2924561116), Int.ofNat (nat_lit 955303753), Int.ofNat (nat_lit 2292766808), Int.negSucc (nat_lit 286083173), Int.negSucc (nat_lit 1439045833), Int.ofNat (nat_lit 282499256)]), (nat_lit 1293435492400, [Int.ofNat (nat_lit 0), 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 2817746270), Int.ofNat (nat_lit 1304403380), Int.ofNat (nat_lit 785416214), Int.ofNat (nat_lit 898848955), Int.negSucc (nat_lit 1275209379)]), (nat_lit 2296533604600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 3020821259), Int.ofNat (nat_lit 1911327208), Int.ofNat (nat_lit 1101290876), Int.negSucc (nat_lit 1066930455)]), (nat_lit 1829319956400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2220161641), Int.ofNat (nat_lit 810425347), Int.ofNat (nat_lit 390013192)]), (nat_lit 1997751172400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2458529156), Int.ofNat (nat_lit 1419097269)]), (nat_lit 925276100600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 598173755)]), (nat_lit 900715731500, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 223271523701403238400, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 1252467956034817228800, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 1382257156539122790400, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 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def termHB_1 : Term :=
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def termHB_2 : Term :=
  ⟨false, true, false, [(nat_lit 16869696997, [Int.ofNat (nat_lit 8589934592), Int.negSucc (nat_lit 17011878579), Int.negSucc (nat_lit 13488622024), Int.ofNat (nat_lit 23959437107), Int.ofNat (nat_lit 22942197417), Int.negSucc (nat_lit 13543126148), Int.negSucc (nat_lit 7756119241), Int.negSucc (nat_lit 7085629824), Int.negSucc (nat_lit 5415732865), Int.ofNat (nat_lit 7026073092)]), (nat_lit 10467088235, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 12189379553), Int.ofNat (nat_lit 4897753318), Int.ofNat (nat_lit 8329836355), Int.negSucc (nat_lit 5031059851), Int.ofNat (nat_lit 3104150277), Int.ofNat (nat_lit 1292657403), Int.negSucc (nat_lit 7246527226), Int.ofNat (nat_lit 1867645318)]), (nat_lit 28099065179, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2987272343), Int.ofNat (nat_lit 896846261), Int.ofNat (nat_lit 2067844388), Int.ofNat (nat_lit 756103312), Int.negSucc (nat_lit 1332380821), Int.negSucc (nat_lit 1223164373), Int.ofNat (nat_lit 651701592)]), (nat_lit 30200872987, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2623644904), Int.ofNat (nat_lit 549506092), Int.ofNat (nat_lit 828069673), Int.ofNat (nat_lit 1284925679), Int.ofNat (nat_lit 926334542), Int.negSucc (nat_lit 2187119777)]), (nat_lit 11961860230, [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 5984467352), Int.ofNat (nat_lit 1865659016), Int.ofNat (nat_lit 5055390195), Int.negSucc (nat_lit 883508670), Int.negSucc (nat_lit 2356833889)]), (nat_lit 34112119695, [Int.ofNat (nat_lit 0), 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 1542830709), Int.ofNat (nat_lit 1383913370), Int.negSucc (nat_lit 397005837), Int.ofNat (nat_lit 42719047)]), (nat_lit 22616403753, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2710517422), Int.ofNat (nat_lit 1784647979), Int.negSucc (nat_lit 85022042)]), (nat_lit 20707721595, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2611779565), Int.ofNat (nat_lit 1595220222)]), (nat_lit 12665702050, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 607910488)]), (nat_lit 15736737597, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 97460615391176836680, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 21028381736033614400, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 140566613384751317032, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 64108611508084146192, [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 42344739450834346024, [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 8674656277325723608, [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 47478017807974268600, [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 34568890052514250784, [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 39775788875707522992, [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 420117118238644909609080, [Int.ofNat (nat_lit 1)]), (nat_lit 6345816601792992860, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 369738096771716845060, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 231010001794387351180, [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 147956108178209577780, [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 34775840597604279960, [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 128508300011119182620, [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 61263826480019212240, [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 120400210161196370960, [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 419656229190356319899500, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 67240934903955059981, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 72383953201959776919, [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 40044256100565762553, [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 146219338459762668172, [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 13410956607629444357, [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 28081866894039926476, [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 18527114202680561488, [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 420130312554280581875905, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 340671532257072721083, [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 178056828965214703877, [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 37392364899584252796, [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 215689710889945706039, [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 7101492490685320796, [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 167815980647817575048, [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 419556299623761708406639, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 84218259543883999931, [Int.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 67022178448058266120, [Int.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 113372137785530626767, [Int.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 103902370566596293625, [Int.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 63701282500786252264, [Int.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 419577584394982862000057, [Int.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 83725324554329975962, [Int.ofNat (nat_lit 0), Int.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 115053865679991203913, [Int.ofNat (nat_lit 0), Int.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 24111761953664429328, [Int.ofNat (nat_lit 0), Int.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 67519209448425197016, [Int.ofNat (nat_lit 0), Int.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 419824141373467253080285, [Int.ofNat (nat_lit 0), Int.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 49274310323064765248, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 90544925160327259317, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 23366267863814230094, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 420082714786400559778493, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 74592221540628620962, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 51513099058497556427, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 419789439343036271461217, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 93325006830131776489, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 420063243433309226479361, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 419914498215493721666200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 24303332607, [Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 5451731093), Int.negSucc (nat_lit 2401686498), Int.ofNat (nat_lit 12756536442), Int.negSucc (nat_lit 3121485696), Int.negSucc (nat_lit 4860930820), Int.ofNat (nat_lit 2893465970), Int.negSucc (nat_lit 5226911201), Int.negSucc (nat_lit 479507314), Int.ofNat (nat_lit 3834983018)]), (nat_lit 19081347277, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3473442596), Int.ofNat (nat_lit 1841685338), Int.ofNat (nat_lit 1958577780), Int.ofNat (nat_lit 865065702), Int.negSucc (nat_lit 491828249), Int.negSucc (nat_lit 3675240966), Int.negSucc (nat_lit 951792914), Int.ofNat (nat_lit 2943929634)]), (nat_lit 29781784308, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3854722843), Int.ofNat (nat_lit 3143433368), Int.ofNat (nat_lit 2064042099), Int.negSucc (nat_lit 2253009176), Int.negSucc (nat_lit 435596976), Int.negSucc (nat_lit 887149415), Int.ofNat (nat_lit 1150057635)]), (nat_lit 24934930518, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2492252348), Int.ofNat (nat_lit 79076055), Int.ofNat (nat_lit 1421012806), Int.ofNat (nat_lit 1033912178), Int.ofNat (nat_lit 864361876), Int.negSucc (nat_lit 2130876988)]), (nat_lit 17537351149, [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 3546261867), Int.ofNat (nat_lit 2999128118), Int.ofNat (nat_lit 757404047), Int.negSucc (nat_lit 1384866041), Int.ofNat (nat_lit 76836813)]), (nat_lit 17711651096, [Int.ofNat (nat_lit 0), 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 2615971174), Int.ofNat (nat_lit 341636497), Int.ofNat (nat_lit 2989552226), Int.negSucc (nat_lit 1777734611)]), (nat_lit 16121506671, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2764987629), Int.ofNat (nat_lit 1911209487), Int.negSucc (nat_lit 160609652)]), (nat_lit 10769556919, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 5286837953), Int.ofNat (nat_lit 3259252597)]), (nat_lit 14263760791, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 605937790)]), (nat_lit 17816773248, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 10696885086522368016, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 19297325036119101536, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 29132165898368122888, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 9999913506612199408, [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 3965673041861804056, [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 14230942565673820120, [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 30960149219904659528, [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 7608902924738512840, [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 20979340400110211152, [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 429419417040146246939528, [Int.ofNat (nat_lit 1)]), (nat_lit 51560678220300189114, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 73578459506947760988, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 33021175626703058934, [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 12624654581605404914, [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 41853787289092879060, [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 64632770493777000100, [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 14436050724723606750, [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 52254898203962719788, [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 429234146216167197494532, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 112437978037434225724, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 11300781029481329143, [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 31420415753577298877, [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 22195346766498417856, [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 80036128050237601975, [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 35006451554522572258, [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 25308901663473670500, [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 429179082926103023856509, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 79636840896247485658, [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 1630850099249620790, [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 37322488144644471576, [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 169515062742709259270, [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 89352655403947695536, [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 83244844401567979992, [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 429168401679286636721786, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 2299425620885299057, [Int.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 27386290232410261842, [Int.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 9372330077710406074, [Int.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 17488553996156697657, [Int.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 16284916492089017744, [Int.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 429373603238308630299286, [Int.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 70855478661364830010, [Int.ofNat (nat_lit 0), Int.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 14063442077678369696, [Int.ofNat (nat_lit 0), Int.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 4849601057338462111, [Int.ofNat (nat_lit 0), Int.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 22166269867441549164, [Int.ofNat (nat_lit 0), Int.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 429291361767064894077000, [Int.ofNat (nat_lit 0), Int.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 36529720289320830840, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 5560723954448832568, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 55548543546893387302, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 429207100502274583890274, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 62101868952600783783, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 103325004857942006575, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 429204364967964447411753, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 42888957640119510973, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 429331895641784908845169, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 429186210504661604738814, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 100
  Lam := nat_lit 1267650600228229401496703205376
  Q := [Int.ofNat (nat_lit 896361010406221843057197711360), Int.ofNat (nat_lit 448206224056815971506371690496), Int.ofNat (nat_lit 335259119682352083741247012864), Int.ofNat (nat_lit 281758766416056782673791680512), Int.ofNat (nat_lit 262767159920307724916428374016), Int.ofNat (nat_lit 216728152331293474036404715520), Int.ofNat (nat_lit 84681126962979217788586950656), Int.negSucc (nat_lit 10640827002109130853859721215), Int.negSucc (nat_lit 10316215012486402720059621375), Int.negSucc (nat_lit 386161320660807523353231359), Int.ofNat (nat_lit 368009856026464128289734656)]
  terms := [termHB_0, termHB_1, termHB_2, termHB_3]

def parHC : Par := ⟨99, 100, 0, 0⟩

def termHC_0 : Term :=
  ⟨false, false, false, [(nat_lit 1053071977600, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 11583469351), Int.ofNat (nat_lit 3464942587), Int.ofNat (nat_lit 4757300390), Int.ofNat (nat_lit 4654266770), Int.ofNat (nat_lit 2925039160), Int.negSucc (nat_lit 7509787389), Int.negSucc (nat_lit 3716983323), Int.negSucc (nat_lit 129451633), Int.negSucc (nat_lit 2449049207), Int.ofNat (nat_lit 5323980712)]), (nat_lit 3242952848800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3207292187), Int.ofNat (nat_lit 1222348359), Int.ofNat (nat_lit 2961921823), Int.negSucc (nat_lit 1345289705), Int.negSucc (nat_lit 1022862269), Int.ofNat (nat_lit 1758349801), Int.negSucc (nat_lit 1908165551), Int.negSucc (nat_lit 1233415703), Int.ofNat (nat_lit 1705610594)]), (nat_lit 1337835683600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3500115364), Int.ofNat (nat_lit 2243732750), Int.ofNat (nat_lit 1556964599), Int.ofNat (nat_lit 303146676), Int.negSucc (nat_lit 1487218026), Int.negSucc (nat_lit 1631684351), Int.ofNat (nat_lit 1046507065), Int.ofNat (nat_lit 397616380)]), (nat_lit 1117820777900, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3944028139), Int.ofNat (nat_lit 3950403118), Int.ofNat (nat_lit 550494923), Int.negSucc (nat_lit 2030586264), Int.ofNat (nat_lit 281669311), Int.negSucc (nat_lit 261549359), Int.ofNat (nat_lit 380238019)]), (nat_lit 1433245948800, [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 3231627829), Int.ofNat (nat_lit 1517671023), Int.ofNat (nat_lit 2848351088), Int.negSucc (nat_lit 1268185466), Int.negSucc (nat_lit 2304884382), Int.ofNat (nat_lit 1365858327)]), (nat_lit 895766481000, [Int.ofNat (nat_lit 0), 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 2841129203), Int.ofNat (nat_lit 1788098571), Int.ofNat (nat_lit 111582493), Int.ofNat (nat_lit 581148320), Int.negSucc (nat_lit 710674786)]), (nat_lit 2306959130200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2937168149), Int.ofNat (nat_lit 1782748987), Int.ofNat (nat_lit 1053709494), Int.negSucc (nat_lit 971168370)]), (nat_lit 1136744119100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2485720857), Int.ofNat (nat_lit 1702052314), Int.negSucc (nat_lit 280997056)]), (nat_lit 1544259948500, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2237806869), Int.ofNat (nat_lit 1172217225)]), (nat_lit 1932704980500, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 132369123)]), (nat_lit 1172232398600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 4244350170923243929600, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 836253215514964787200, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 2781964507733819392000, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 3079524224162437529600, [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 2496078280024177049600, [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 1965069048190022451200, [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 2217018202841526272000, [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 696777023054833254400, [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 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Int.ofNat (nat_lit 1)]), (nat_lit 42190089353950705565004800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 6728476792871232604800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 3611495051289569411300, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 42193513647977573337809600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 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def termHC_1 : Term :=
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def termHC_2 : Term :=
  ⟨false, true, false, [(nat_lit 14694118958, [Int.ofNat (nat_lit 8589934592), Int.negSucc (nat_lit 16357462002), Int.negSucc (nat_lit 16228428006), Int.ofNat (nat_lit 27032533148), Int.ofNat (nat_lit 24164678489), Int.negSucc (nat_lit 16578802562), Int.negSucc (nat_lit 8547985304), Int.negSucc (nat_lit 7471633220), Int.negSucc (nat_lit 8194442883), Int.ofNat (nat_lit 13450250890)]), (nat_lit 25751153639, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 6417278219), Int.ofNat (nat_lit 3100795565), Int.ofNat (nat_lit 4975698511), Int.negSucc (nat_lit 4383721861), Int.ofNat (nat_lit 1093114351), Int.ofNat (nat_lit 1796132298), Int.negSucc (nat_lit 4245667831), Int.ofNat (nat_lit 1883735906)]), (nat_lit 10058801687, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 5382156109), Int.ofNat (nat_lit 231978622), Int.ofNat (nat_lit 5126260414), Int.ofNat (nat_lit 1234922056), Int.negSucc (nat_lit 3097017091), Int.negSucc (nat_lit 755182691), Int.ofNat (nat_lit 435784707)]), (nat_lit 32972205567, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2415744431), Int.ofNat (nat_lit 244527677), Int.ofNat (nat_lit 368599499), Int.ofNat (nat_lit 1883627702), Int.ofNat (nat_lit 814333849), Int.negSucc (nat_lit 2014409224)]), (nat_lit 13321751678, [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 5916659102), Int.ofNat (nat_lit 1931244283), Int.ofNat (nat_lit 4453407443), Int.negSucc (nat_lit 759556659), Int.negSucc (nat_lit 1899504796)]), (nat_lit 28032151677, [Int.ofNat (nat_lit 0), 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 1616309356), Int.ofNat (nat_lit 1430463197), Int.negSucc (nat_lit 140521195), Int.negSucc (nat_lit 206653022)]), (nat_lit 16641850581, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2910162851), Int.ofNat (nat_lit 2471585459), Int.negSucc (nat_lit 620298412)]), (nat_lit 18359561610, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2366500489), Int.ofNat (nat_lit 1309575526)]), (nat_lit 23035953728, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 279894885)]), (nat_lit 19140496238, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 14896806492697526208, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 52389215494505660448, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 17906175184667410528, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 40077904083772506096, [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 16906157663548866632, [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 26400002154614882320, [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 2546026290804686856, [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 48934216936535359576, [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 34222569883430551560, [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 428271170477390336851664, [Int.ofNat (nat_lit 1)]), (nat_lit 66638037157277048122, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 97540019617838169072, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 12871153609683439606, [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 9258025981729755598, [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 32816374020167429558, [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 7960676111402264210, [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 90672972629604446288, [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 12039955661920520772, [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 428098886027928102171088, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 8370855136329816252, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 105097060794822064458, [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 39045479351495611698, [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 78495036148585136794, [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 9416306052503016194, [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 25174416556024263528, [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 139875348075712284812, [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 428057811736768658965904, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 39934235160367312665, [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 73802757992877327526, [Int.ofNat 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0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 427852957448225767428867, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 7877571205425616372, [Int.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 60614564733909336049, [Int.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 47227675032577611444, [Int.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 79441347952837175680, [Int.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 144961164013226126716, [Int.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 428057741556521629827849, [Int.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 64924607054255248689, [Int.ofNat (nat_lit 0), Int.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 41737206467916637498, [Int.ofNat (nat_lit 0), Int.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 65043775871060319517, [Int.ofNat (nat_lit 0), Int.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 76837078927308898229, [Int.ofNat (nat_lit 0), Int.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 428119737683952164441238, [Int.ofNat (nat_lit 0), Int.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 24419680306876425615, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 57763851963157314495, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 4381603475568740310, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 428144335846172051355974, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 24138763154861238370, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 36923478973719520395, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 428260358133530873751071, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 109110885618282972030, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 427951855918192614094240, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 428055144100885591565214, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 24559896409, [Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 5231710336), Int.negSucc (nat_lit 1927805470), Int.ofNat (nat_lit 9128630407), Int.ofNat (nat_lit 572351923), Int.negSucc (nat_lit 4340744565), Int.ofNat (nat_lit 1988714612), Int.negSucc (nat_lit 2928143257), Int.negSucc (nat_lit 5941009695), Int.ofNat (nat_lit 6586953890)]), (nat_lit 24359095817, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3342458419), Int.ofNat (nat_lit 1601849442), Int.ofNat (nat_lit 1772626915), Int.ofNat (nat_lit 1026648996), Int.negSucc (nat_lit 258970085), Int.negSucc (nat_lit 3200497870), Int.negSucc (nat_lit 1258480403), Int.ofNat (nat_lit 2610289102)]), (nat_lit 9590338377, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 7743734815), Int.ofNat (nat_lit 5738755420), Int.ofNat (nat_lit 6073318259), Int.negSucc (nat_lit 5812072590), Int.negSucc (nat_lit 2310923718), Int.ofNat (nat_lit 53245547), Int.ofNat (nat_lit 1869755413)]), (nat_lit 14923550944, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2500350916), Int.ofNat (nat_lit 167385738), Int.ofNat (nat_lit 1349879398), Int.ofNat (nat_lit 999902758), Int.ofNat (nat_lit 154004123), Int.negSucc (nat_lit 1278709010)]), (nat_lit 15137249181, [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 3301781779), Int.ofNat (nat_lit 2561462425), Int.negSucc (nat_lit 134958292), Int.ofNat (nat_lit 794637916), Int.negSucc (nat_lit 1006566700)]), (nat_lit 20126291559, [Int.ofNat (nat_lit 0), 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 2835046391), Int.ofNat (nat_lit 590299182), Int.ofNat (nat_lit 3327193789), Int.negSucc (nat_lit 2164804009)]), (nat_lit 9509364176, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2672369580), Int.ofNat (nat_lit 1955762327), Int.negSucc (nat_lit 339750376)]), (nat_lit 28015642886, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2406648729), Int.ofNat (nat_lit 1351046260)]), (nat_lit 26476698033, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 279601804)]), (nat_lit 19868982612, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 24804716799564529584, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 13180849940037623872, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 16645657182796906576, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 15538154386036752464, [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 15598633407193153488, [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 13000855506319572984, [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 15649100454064685144, [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 1423962196879605672, [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 16555860513599799320, [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 432638872209373472431960, [Int.ofNat (nat_lit 1)]), (nat_lit 47869598123161002383, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 66591372929648762695, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 36907959106261004861, [Int.ofNat 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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 432290806358623852078090, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 42672680399240792889, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 39437041725630869977, [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 38659782499877279502, [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 40121308828134670764, [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 70472652316396620578, [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 62924239229039467616, [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 43636547839111530542, [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 432301879852256524552300, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 9433667238176235533, [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 125133313154563567326, [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 5924200267788274352, [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 29494693264881136708, [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 33747427754520905680, [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 137158801615260597934, [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 432465996701752777280622, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 37049304205591934934, [Int.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 66261580816207860110, [Int.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 41879882803952569953, [Int.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 16452405392977699088, [Int.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 37700850235672559356, [Int.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 432531239175743253050466, [Int.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 59899957749178042991, [Int.ofNat (nat_lit 0), Int.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 71361886719194381209, [Int.ofNat (nat_lit 0), Int.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 42162628099281179183, [Int.ofNat (nat_lit 0), Int.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 132435314855311059191, [Int.ofNat (nat_lit 0), Int.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 432291608875693172410997, [Int.ofNat (nat_lit 0), Int.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 67723637856953466598, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 73926175309554689617, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 43744539300127829280, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 432440216696561028565602, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 26112304796647350803, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 64206584468557371120, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 432417084721426113296090, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 10888591776445584469, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 432301513640024513904784, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 432368876629198610248047, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 100
  Lam := nat_lit 1267650600228229401496703205376
  Q := [Int.ofNat (nat_lit 896330964558056690618864762880), Int.ofNat (nat_lit 447884319902038819936281821184), Int.ofNat (nat_lit 336068297906770835248454303742), Int.ofNat (nat_lit 286965264076828432334399209470), Int.ofNat (nat_lit 260075663362648117058708963328), Int.ofNat (nat_lit 200577581036963692792135024638), Int.ofNat (nat_lit 89308827470594300200211185662), Int.ofNat (nat_lit 1807426897738498162806489090), Int.negSucc (nat_lit 13483765074174831526322110463), Int.negSucc (nat_lit 2051999976782390592228294653), Int.ofNat (nat_lit 695001601948637699053191168)]
  terms := [termHC_0, termHC_1, termHC_2, termHC_3]

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