Thomson $N=7$: certificate data for slab 3 ($-\tfrac{24}{25}\le t_{01}\le-\tfrac{47}{50}$), part 2 of 2

import Definitions.Def_ThomsonN7_slab_s96_94_data_1

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

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

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

open Real

namespace ThomsonN7

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

/- BEGIN M0 -/
namespace Base

open Finset

/-! ### Invariance -/

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

end Base
/- END M0 -/

/- BEGIN M1 -/
namespace ThreePoint

open Finset Matrix
open scoped RealInnerProductSpace

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

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

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

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

section Comb

variable {n : ℕ}

end Comb

section Comb2

variable {n : ℕ}

end Comb2

section Comb3

variable {n : ℕ}

end Comb3

section Comb4

variable {n : ℕ}

end Comb4

section Final

variable {n : ℕ}

end Final

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

section FinalZ

variable {n : ℕ}

end FinalZ

/- BEGIN M5 -/
section Critical

end Critical

section Critical

end Critical

section Critical

end Critical

section CriticalZ

variable {n : ℕ}

end CriticalZ

section CriticalZsym

variable {n : ℕ}

section Perm

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

include hτ

end Perm

end CriticalZsym

section CriticalFinal

variable {n : ℕ}

end CriticalFinal

/- END M5 -/

end ThreePoint

/- BEGIN CERT3 -/

/-!
# Kronecker-substitution checking of polynomial identities

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

namespace Kron

namespace Ex

end Ex

namespace Ex

end Ex

open Ex

end Kron

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

namespace Kron
namespace Ex

variable (u v t : ℝ)

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

end Ex
end Kron

/- BEGIN CERT1 -/
section Cert1Block

open Kron Kron.Ex

namespace Cert

open ThreePoint

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

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

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

namespace Blk

end Blk

end Cert

end Cert1Block

/- BEGIN CERT3FILE -/
section Cert3Block

open Kron Kron.Ex

namespace Cert

open ThreePoint

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

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

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

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

/-! ## SOS blocks with multipliers -/

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

open scoped RealInnerProductSpace

namespace Cert3

end Cert3

namespace Cert3

end Cert3

namespace Cert3

end Cert3

end Cert

end Cert3Block

/- END CERT3 -/

/- BEGIN M2 -/
namespace M2

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

namespace K8

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

end K8

namespace K8

end K8

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

namespace Pl

end Pl

open Pl

end M2
/- END M2 -/

/- BEGIN M3 -/
namespace M3

open scoped InnerProductSpace

end M3

/- BEGIN P3ext -/

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

namespace Base

end Base

/- END P3ext -/

/- BEGIN P1 -/

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

namespace Reg

open Base

end Reg

/- END P1 -/

/- BEGIN GAUGE -/

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

namespace Reg

open scoped RealInnerProductSpace

end Reg

/- END GAUGE -/

/- BEGIN P2 -/

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

open Base Finset

section vectors

variable (y : Fin 7 → R3)

end vectors

end RegB
/- END RegB -/

/- END P2 -/

/- BEGIN GV -/

namespace GV

open Base

open scoped InnerProductSpace

end GV

/- END GV -/

/- BEGIN TWOREGIME -/

namespace TwoRegime

open scoped InnerProductSpace

end TwoRegime

namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

/- END TWOREGIME -/

/- BEGIN TR_D -/
namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

/- END TR_D -/

/- BEGIN TR_E -/
namespace ThreePoint

open Finset Matrix
open scoped RealInnerProductSpace

section FinalCut

variable {n : ℕ}

end FinalCut

end ThreePoint

namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

/- END TR_E -/

/- BEGIN TR_G -/
namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

namespace TwoRegime

open scoped InnerProductSpace
open Base

end TwoRegime

/- BEGIN TR_G3 -/
namespace TwoRegime

open scoped InnerProductSpace
open Base

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

open scoped InnerProductSpace
open Base

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

/- BEGIN INTERFACES -/
namespace Interfaces

open Finset Base

end Interfaces
/- END INTERFACES -/

/- BEGIN GLUE -/
namespace Glue

open Finset Base Interfaces

end Glue
/- END GLUE -/

/- BEGIN TR_F -/
namespace EPBounds

open Real

end EPBounds
/- END TR_F -/
end ThomsonN7

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

end Reg

/- END LOC1 -/

end ThomsonN7

/- BEGIN QCORE1 -/
namespace ThomsonN7
namespace Reg

end Reg
end ThomsonN7
/- END QCORE1 -/

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

end Reg
end ThomsonN7

/- END Q2 -/

/- BEGIN QCORE2 -/
namespace ThomsonN7
namespace Reg

end Reg
end ThomsonN7
/- END QCORE2 -/

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

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

end Reg
end ThomsonN7

/- END LOC2 -/

namespace ThomsonN7
namespace Reg

end Reg

end ThomsonN7

/- END REGLOCAL -/
end RegLocalSection

/- BEGIN CASE1 -/
namespace ThomsonN7
namespace CutOneD

end CutOneD
end ThomsonN7

namespace ThomsonN7

namespace Case1Data
open ThomsonN7 ThomsonN7.Cert

end Case1Data

end ThomsonN7

namespace ThomsonN7
namespace Case1

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

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

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

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

end Case1
end ThomsonN7

/- END CASE1 -/

/- BEGIN CASE2RED -/
namespace ThomsonN7
namespace Case1

section Case2Red

open scoped InnerProductSpace
open Base

end Case2Red

end Case1
end ThomsonN7
/- END CASE2RED -/

section Asm_Typed
open Finset Matrix
open scoped RealInnerProductSpace

namespace ThomsonN7
namespace ThreePoint

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

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

section TypedRoot

end TypedRoot

section TypedComb

variable {n : ℕ}

end TypedComb

end ThreePoint
end ThomsonN7

end Asm_Typed

section Asm_Typed2
open Finset Matrix
open scoped RealInnerProductSpace

namespace ThomsonN7
namespace ThreePoint

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

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

section TypedComb2

variable {n : ℕ}

end TypedComb2

end ThreePoint
end ThomsonN7

end Asm_Typed2

section Asm_Typed7
open Finset Matrix
open scoped RealInnerProductSpace

namespace ThomsonN7
namespace ThreePoint

section Sym

end Sym

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

section Typed7

end Typed7

end ThreePoint
end ThomsonN7

end Asm_Typed7

section Asm_T4
namespace ThomsonN7
namespace M6

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

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

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

end M6
end ThomsonN7

open scoped InnerProductSpace

namespace ThomsonN7
namespace T4

open M6

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

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

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

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

/-! ### Ring rigidity -/

end T4
end ThomsonN7

end Asm_T4

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

Abstract, numerics-independent assembly:

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

namespace ThomsonN7
namespace Glue

section Rooted

open scoped InnerProductSpace
open Base

end Rooted

section Typed

open scoped InnerProductSpace
open Base

end Typed

end Glue
end ThomsonN7

end Asm_Glue1

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

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

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

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

namespace ThomsonN7
namespace Glue

section Tube

open scoped InnerProductSpace
open Base

end Tube

end Glue
end ThomsonN7

end Asm_Glue2

section Asm_Glue2b
namespace ThomsonN7
namespace Glue
section TubeFromT4
open scoped RealInnerProductSpace

end TubeFromT4
end Glue
end ThomsonN7

end Asm_Glue2b

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

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

namespace ThomsonN7
namespace Glue

section Bridge

open scoped InnerProductSpace
open Base

end Bridge

section Assembly

open scoped InnerProductSpace
open Base

end Assembly

end Glue
end ThomsonN7

end Asm_Glue3

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

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

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

namespace ThomsonN7
namespace Glue

section Final

open scoped InnerProductSpace
open Base

end Final

end Glue
end ThomsonN7

end Asm_Glue4

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

namespace ThomsonN7
namespace Glue
section EPEnc
open Real

end EPEnc
end Glue
end ThomsonN7

end Asm_EPEnc

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

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

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

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

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

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

namespace ThomsonN7
namespace Glue
namespace Coerce

open CutOneD Base

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

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

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

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

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

end Coerce
end Glue
end ThomsonN7

end Asm_Coerce

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

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

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

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

namespace ThomsonN7
namespace Glue
namespace Coerce

open CutOneD Base

/-! ## A. One node -/

/-! ## B. Two nodes -/

end Coerce
end Glue
end ThomsonN7

end Asm_Coerce2

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

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

namespace ThomsonN7

open Kron Kron.Ex
namespace Cert

open ThreePoint

/-! ## Packed integer data -/

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

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

end Cert
end ThomsonN7

end Asm_CertF

section Asm_CertT
namespace ThomsonN7

open Kron Kron.Ex
namespace Cert

open ThreePoint

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

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

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

/-! ### Degrees -/

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

/-! ## Sums of expressions -/

/-! ## The hybrid check -/

end Cert
end ThomsonN7

namespace ThomsonN7

open Kron Kron.Ex
namespace Cert

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

end Cert
end ThomsonN7

namespace ThomsonN7

open Kron Kron.Ex
namespace Cert

open ThreePoint
open scoped RealInnerProductSpace

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

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

section RealSide

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

end RealSide

/-! ## The certificate -/

namespace TCert

variable (cf : TCert)

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

end TCert

end Cert
end ThomsonN7

end Asm_CertT

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

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

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

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

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

namespace ThomsonN7
namespace SlabOneD

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

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

end SlabOneD
end ThomsonN7

end Asm_SlabHead

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

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

namespace ThomsonN7
namespace Glue

section Bridge

open scoped InnerProductSpace
open Base

end Bridge

end Glue
end ThomsonN7

end Asm_Bridge

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

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

namespace ThomsonN7
namespace Glue

section Bridge1D

open scoped InnerProductSpace
open Base

end Bridge1D

end Glue
end ThomsonN7

end Asm_Bridge1D

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

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

namespace ThomsonN7
namespace Glue

section Bridge2

open scoped InnerProductSpace
open Base

end Bridge2

end Glue
end ThomsonN7

end Asm_Bridge2

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

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

namespace ThomsonN7
namespace Glue

section Bridge3

open scoped InnerProductSpace
open Base

end Bridge3

end Glue
end ThomsonN7

end Asm_Bridge3

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

end Cert
end ThomsonN7

end Asm_cap_tc

section Asm_cap_ct
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_cap_ct

section Asm_cap_capspec
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_cap_capspec

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

end Cert
end ThomsonN7

end Asm_s99_98_tc

section Asm_s99_98_1d
namespace ThomsonN7
namespace SlabOneD

namespace Slab_s99_98

end Slab_s99_98

end SlabOneD
end ThomsonN7

end Asm_s99_98_1d

section Asm_s99_98_spec
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_s99_98_spec

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

end Cert
end ThomsonN7

end Asm_s98_96_tc

section Asm_s98_96_1d
namespace ThomsonN7
namespace SlabOneD

namespace Slab_s98_96

end Slab_s98_96

end SlabOneD
end ThomsonN7

end Asm_s98_96_1d

section Asm_s98_96_spec
namespace ThomsonN7
namespace Final

end Final
end ThomsonN7

end Asm_s98_96_spec

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

def tc_s96_94_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,
  0x9fcce23ca4091b9bf51e3491070fa09c0913b498f51c993a4f8317499805a89730a8d8ec7fc40a03e6a4c658969f6f9d128a37b0304988af022c1297891e6787ae5c971112bb5788f1c88c97a8a73056110f0b04ee61b5fc947f7cb5fe4918fdfc74689eeead54adc9a4a4ef9120,
  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,
  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def tc_s96_94_SG0 : TBlk :=
  ⟨[], [(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0), (0, 0, 2), (0, 1, 1), (0, 2, 0), (1, 0, 1), (1, 1, 0), (2, 0, 0), (0, 0, 3), (0, 1, 2), (0, 2, 1), (0, 3, 0), (1, 0, 2), (1, 1, 1), (1, 2, 0), (2, 0, 1), (2, 1, 0), (3, 0, 0), (0, 0, 4), (0, 1, 3), (0, 2, 2), (0, 3, 1), (0, 4, 0), (1, 0, 3), (1, 1, 2), (1, 2, 1), (1, 3, 0), (2, 0, 2), (2, 1, 1), (2, 2, 0), (3, 0, 1), (3, 1, 0), (4, 0, 0), (0, 0, 5), (0, 1, 4), (0, 2, 3), (0, 3, 2), (0, 4, 1), (0, 5, 0), (1, 0, 4), (1, 1, 3), (1, 2, 2), (1, 3, 1), (1, 4, 0), (2, 0, 3), (2, 1, 2), (2, 2, 1), (2, 3, 0), (3, 0, 2), (3, 1, 1), (3, 2, 0), (4, 0, 1), (4, 1, 0), (5, 0, 0)], 56, 48, 36, 92,
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def tc_s96_94_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, 84,
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def tc_s96_94_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, 84,
  0x87a832e6a5a84b2b7adaac84bd699acc4843774f990287556e0a8508517c0dd5f4891ca08730a86e3943476485060cd16f28a08e62503c84bf05706c08441bd69fa2849620491dc86268584bbe8e857e2427c8630efd140486a3b1eee0287b04598f4c8e36885da9e84a01dab9b68b25845346c87df49e3a5a87cf793a3cc8437a2019ae854cb7597968ec1685a7668cb491a74b68d74f744222846cf8e505686bb439865c8470118f61285a96620f528e17c28c220840a8b095b28e4f8b601c4,
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def tc_s96_94_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, 84,
  0x87a7cf2aa5c83f45803ef885a1805cb268b8d0b4b49487dbdd2fad886f09f1e65486d7e9365a2848a776c006885661d8c888c364617f4289a1dd767ae867a3e13c7c88c5a98274a8ac1e77f540859f94c7b4e8630e7962b287756389a6e86d81b6166288254a969e884d4a5a9dca84a80221daa8ee206b655c8581cb7b6e087204b02ff489695eb8df08ec163b0e0e869fcee96c88673fedc12283ca2c25fc2868457f71ac855a6945baa85a93af209c85efba1bc568997d4a37948e4f0d90794,
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def tc_s96_94_SG4 : TBlk :=
  ⟨[3], [(0, 0, 0), (0, 0, 1), (0, 1, 0), (1, 0, 0), (0, 0, 2), (0, 1, 1), (0, 2, 0), (1, 0, 1), (1, 1, 0), (2, 0, 0), (0, 0, 3), (0, 1, 2), (0, 2, 1), (0, 3, 0), (1, 0, 2), (1, 1, 1), (1, 2, 0), (2, 0, 1), (2, 1, 0), (3, 0, 0)], 20, 48, 36, 92,
  0x862403012cf08bf12d9aefb48c1d8be8434c8def73cfc9aa868799658f5c8f2abbc37928872c08e22ca691495a52562a918ee51ea01687a8e1ba69a488f7b620e1748861b81069828a610b4624a68926943b809e87206aeecba489b1bc0b19dc8ac5b82bfc7c8ff4b5a1138292610e12289e90b7ed69c50c,
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def tc_s96_94 : TCert where
  dd := 5
  Lam := 1267650600228229401496703205376
  an := -24
  ad := 25
  bn := -47
  bd := 50
  e := 18321328772086594975243821493240
  cal := 185545987807952374855446298624
  cbe := 238277559601296440893363978240
  HA := [812990854189685720478017126400, 41061810898072615441167024130, -164565376156251744654994702340, 66505118960060874054361415680, 35227790542298552578923823100, -42309228818788469578504601600, 15357158171288684391447920640, -1546312816707960577019871230, -479188232865094926531035140, 106558127872725019579645950, 3139026198912543823495170]
  HB := [896361539686994234169727385600, 448221316774033364521920233472, 335148639979810583042399928320, 281292199830840043174153420800, 262346646047218948170433167360, 225553106233282495004712894464, 108294932251667525481921511424, -3086908640611791913900572672, -17437352291300406399598592000, 684824981917612825592725504, 302867094745145711559442432]
  HC := [896347815216542969859131047938, 447987340737892477413363810306, 335846374518968247988615380990, 285101716901237378763984994302, 259451942939248059368664465408, 207039563435807720065938227202, 96945901357088257835798626302, 2567082818564465941253455872, -14580147359689503449601277950, -1839098222563557906294243330, 652069378258595307048665088]
  ψBa := [-32255609487891998829411565568, 120322856826358761041642389504, 110367267308959934836813856768, 80275414544632287294786633728, 74063942630234419947183800320, -69599626073591828062111006720, -60132595599757631619034251264, -479685371345048809880476975104, -502823355192784955091577733120, 347410880945032426262200582144, 360499958997375455762787074048]
  ψCb := [-238277559601296440893363978242, 119098602741249957920384221182, 141552727747881266182069682178, 51659915145578200367863169022, -3982118618284084508592439296, 5956633960416387746574106626, -15726446212609653940382859264, -5392275680829036363637587966, 53953323366790959280636821504, 48759538690565357871558557694, 7492620171646937713562615808]
  FP := [tc_s96_94_FP0, tc_s96_94_FP1, tc_s96_94_FP2, tc_s96_94_FP3, tc_s96_94_FP4, tc_s96_94_FP5]
  FR := [tc_s96_94_FR0, tc_s96_94_FR1, tc_s96_94_FR2, tc_s96_94_FR3, tc_s96_94_FR4, tc_s96_94_FR5]
  mA := 1250
  mB := 25
  mG := 25
  SA := [tc_s96_94_SA0, tc_s96_94_SA1, tc_s96_94_SA2, tc_s96_94_SA3, tc_s96_94_SA4, tc_s96_94_SA5]
  SB := [tc_s96_94_SB0, tc_s96_94_SB1, tc_s96_94_SB2, tc_s96_94_SB3, tc_s96_94_SB4]
  SG := [tc_s96_94_SG0, tc_s96_94_SG1, tc_s96_94_SG2, tc_s96_94_SG3, tc_s96_94_SG4]

end Cert
end ThomsonN7

end Asm_s96_94_tc

section Asm_s96_94_1d
namespace ThomsonN7
namespace SlabOneD

namespace Slab_s96_94

def parHA : Par := ⟨49, 50, 97, 100⟩

def termHA_0 : Term :=
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def termHA_1 : Term :=
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(nat_lit 1)])]⟩

def termHA_2 : Term :=
  ⟨false, true, false, [(nat_lit 1123625643300, [Int.ofNat (nat_lit 8589934592), Int.negSucc (nat_lit 2192675330), Int.negSucc (nat_lit 146418147), Int.negSucc (nat_lit 1590364703), Int.negSucc (nat_lit 642704424), Int.negSucc (nat_lit 1237993070), Int.negSucc (nat_lit 788168203), Int.negSucc (nat_lit 979403516), Int.negSucc (nat_lit 882421244), Int.negSucc (nat_lit 729131867)]), (nat_lit 1591753485800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 848622532), Int.negSucc (nat_lit 449980572), Int.negSucc (nat_lit 691698276), Int.negSucc (nat_lit 484713589), Int.negSucc (nat_lit 575357246), Int.negSucc (nat_lit 509267497), Int.negSucc (nat_lit 481808844), Int.negSucc (nat_lit 535997503)]), (nat_lit 1496769354300, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 811205020), Int.negSucc (nat_lit 608164556), Int.negSucc (nat_lit 697915080), Int.negSucc (nat_lit 624937884), Int.negSucc (nat_lit 610670518), Int.negSucc (nat_lit 680026716), Int.negSucc (nat_lit 516843430)]), (nat_lit 1450848301900, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 831185633), Int.negSucc (nat_lit 741229887), Int.negSucc (nat_lit 738249970), Int.negSucc (nat_lit 798825712), Int.negSucc (nat_lit 670116468), Int.negSucc (nat_lit 744223797)]), (nat_lit 1392899825200, [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 919162252), Int.negSucc (nat_lit 983142209), Int.negSucc (nat_lit 857275567), Int.negSucc (nat_lit 965486160), Int.negSucc (nat_lit 764451269)]), (nat_lit 1320050857300, [Int.ofNat (nat_lit 0), 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 1106436718), Int.negSucc (nat_lit 1212596318), Int.negSucc (nat_lit 1048325570), Int.negSucc (nat_lit 1091812886)]), (nat_lit 1224020779300, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 1480279872), Int.negSucc (nat_lit 1580298373), Int.negSucc (nat_lit 1364864982)]), (nat_lit 1087680899400, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2241162390), Int.negSucc (nat_lit 2151906835)]), (nat_lit 3249981759000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2180149613)]), (nat_lit 3183371916000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 870391492821093491600, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 677401790902138277200, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 2671854136300115355600, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 649462762177663830000, [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 407592646914682674400, [Int.ofNat (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 4375531543775137964400, [Int.ofNat (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 2891895130665979001200, [Int.ofNat (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 1305002436760932992000, [Int.ofNat (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 2883983233047345654800, [Int.ofNat (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 311368904069026449163637600, [Int.ofNat (nat_lit 1)]), (nat_lit 138529948124086044000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 2607106613015608137200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 188223471979728333900, [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 1948134695037758288700, [Int.ofNat (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 2649152678817237509600, [Int.ofNat (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 1443637230363131327300, [Int.ofNat (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 171179952595925862500, [Int.ofNat (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 3876961207969050079200, [Int.ofNat (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 311368670947987479214691900, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1680893615598530177000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 2126024466050872311800, [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 1495289761333464604400, [Int.ofNat (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 1325352842397684941400, [Int.ofNat (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 2103903756175711016800, [Int.ofNat (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 2837131968328392373400, [Int.ofNat (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 1989315741316624540000, [Int.ofNat (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 311368924009502941247045800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 243681313470006272700, [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 221842377974494146300, [Int.ofNat (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 2009221183450413032300, [Int.ofNat (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 1655148876544253817900, [Int.ofNat (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 1610716564596733253500, [Int.ofNat (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 581433734631054224700, [Int.ofNat (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 311371442145325207381975100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 2924592088060711521800, [Int.ofNat (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 1458608926765469871700, [Int.ofNat (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 3405164952701002660400, [Int.ofNat (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 754295488108615227600, [Int.ofNat (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 1464344464877572608700, [Int.ofNat (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 311368457123546795077320400, [Int.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 3647166227434139388700, [Int.ofNat (nat_lit 0), Int.ofNat (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 1442950027986304466000, [Int.ofNat (nat_lit 0), Int.ofNat (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 1114564756001389016200, [Int.ofNat (nat_lit 0), Int.ofNat (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 2697509063093444045700, [Int.ofNat (nat_lit 0), Int.ofNat (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 311367836471108487664503000, [Int.ofNat (nat_lit 0), Int.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 1254952749074289594300, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 3339362564950323335100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 527121868281950163200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 311361320554107870314434800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 1345989022896764696800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 398302059957059917100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 311367407187834541913591700, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 89943630192275049000, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 311370260481450540399755100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 311362513978668085988893900, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 1387273081700, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 335714771), Int.negSucc (nat_lit 765539441), Int.negSucc (nat_lit 462295307), Int.negSucc (nat_lit 641600887), Int.negSucc (nat_lit 470604369), Int.negSucc (nat_lit 549744090), Int.negSucc (nat_lit 469836418), Int.negSucc (nat_lit 446806154), Int.negSucc (nat_lit 482191956)]), (nat_lit 1411380162900, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 536072282), Int.negSucc (nat_lit 731097040), Int.negSucc (nat_lit 550898621), Int.negSucc (nat_lit 630431498), Int.negSucc (nat_lit 558720915), Int.negSucc (nat_lit 549445030), Int.negSucc (nat_lit 581811621), Int.negSucc (nat_lit 447205592)]), (nat_lit 1423129255300, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 654020584), Int.negSucc (nat_lit 716351389), Int.negSucc (nat_lit 658783503), Int.negSucc (nat_lit 637849903), Int.negSucc (nat_lit 704141567), Int.negSucc (nat_lit 542535230), Int.negSucc (nat_lit 643613208)]), (nat_lit 1411518964800, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 791899904), Int.negSucc (nat_lit 773533524), Int.negSucc (nat_lit 844549613), Int.negSucc (nat_lit 709797153), Int.negSucc (nat_lit 792593960), Int.negSucc (nat_lit 608437531)]), (nat_lit 1395660751000, [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 1007200032), Int.negSucc (nat_lit 863325476), Int.negSucc (nat_lit 983972239), Int.negSucc (nat_lit 770384780), Int.negSucc (nat_lit 863774868)]), (nat_lit 1339848284300, [Int.ofNat (nat_lit 0), 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 1257887260), Int.negSucc (nat_lit 1084229035), Int.negSucc (nat_lit 1139778611), 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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Int.ofNat (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 11474032379056867039, [Int.ofNat (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 75887033988898850547812504179, [Int.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 38421365966327607715, [Int.ofNat (nat_lit 0), Int.ofNat (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 22143705608299945353, [Int.ofNat (nat_lit 0), Int.ofNat (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 788888110378946892, [Int.ofNat (nat_lit 0), Int.ofNat (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 75887033993155470025187481875, [Int.ofNat (nat_lit 0), Int.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 26957447511071271244, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 7970277677861165687, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 75887033932341592722898871839, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 25999060149326364884, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 75887033971886235479225471886, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 75887034017482661336932990823, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 34120872292, [Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 217854901), Int.negSucc (nat_lit 72883008), Int.negSucc (nat_lit 149953766), Int.negSucc (nat_lit 89731640), Int.negSucc (nat_lit 143365537), Int.negSucc (nat_lit 99579314), Int.negSucc (nat_lit 159296775), Int.negSucc (nat_lit 101553312)]), (nat_lit 33348196876, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 159646960), Int.negSucc (nat_lit 103300413), Int.negSucc (nat_lit 153697821), Int.negSucc (nat_lit 113934925), Int.negSucc (nat_lit 174643084), Int.negSucc (nat_lit 117758563), Int.negSucc (nat_lit 131510258)]), (nat_lit 33047556178, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 161000471), Int.negSucc (nat_lit 118828104), Int.negSucc (nat_lit 182903247), Int.negSucc (nat_lit 128232675), Int.negSucc (nat_lit 140604727), Int.negSucc (nat_lit 129399749)]), (nat_lit 32717574901, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 193246121), Int.negSucc (nat_lit 141040764), Int.negSucc (nat_lit 156512727), Int.negSucc (nat_lit 144152488), Int.negSucc (nat_lit 128701035)]), (nat_lit 32409572772, [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 171059252), Int.negSucc (nat_lit 160668810), Int.negSucc (nat_lit 143815593), Int.negSucc (nat_lit 165864957)]), (nat_lit 32044980713, [Int.ofNat (nat_lit 0), 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 164889741), Int.negSucc (nat_lit 185539687), Int.negSucc (nat_lit 140571524)]), (nat_lit 31708230227, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 156353922), Int.negSucc (nat_lit 215848218)]), (nat_lit 31419394909, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 324405016)]), (nat_lit 30304413997, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 12445357658105420832, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 33313817841797551056, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 28677193198418379328, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 7013922041616424544, [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 7772337617450644208, [Int.ofNat (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 24341382376115312960, [Int.ofNat (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 9981870710527470384, [Int.ofNat (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 14477465728956101392, [Int.ofNat (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 79037661501556589362097679328, [Int.ofNat (nat_lit 1)]), (nat_lit 32864806761923056728, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 11687379633313138744, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 10007280186818690488, [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 19545705726752746544, [Int.ofNat (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 3464933006293762120, [Int.ofNat (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 28376941536706250512, [Int.ofNat (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 14662823513816387640, [Int.ofNat (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 79037661503651483325572656120, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 25885414989298210588, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 8347455300523078620, [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 4479479228852401312, [Int.ofNat (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 7870232913151118664, [Int.ofNat (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 22752551624062939600, [Int.ofNat (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 38356431259913321912, [Int.ofNat (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 79037661469486855045284124560, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 21881064502501952956, [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 31714415328110680744, [Int.ofNat (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 14607105927169905428, [Int.ofNat (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 25283066263581298464, [Int.ofNat (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 25033226960902638180, [Int.ofNat (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 79037661451253030778076397228, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 4614194622654218110, [Int.ofNat (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 14650189989003800660, [Int.ofNat (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 6215085824921194194, [Int.ofNat (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 29669597980107207072, [Int.ofNat (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 79037661541008784453213566098, [Int.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 14233498397966589068, [Int.ofNat (nat_lit 0), Int.ofNat (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 9294069361858937631, [Int.ofNat (nat_lit 0), Int.ofNat (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 31320058962113508700, [Int.ofNat (nat_lit 0), Int.ofNat (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 79037661520720719180554395122, [Int.ofNat (nat_lit 0), Int.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 25211594133373636816, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 40658038852506831550, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 79037661488745630013661307670, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 25851436306789128375, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 79037661480402116367742177080, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 79037661420737025950931980010, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 812990854189685720478017126400), Int.ofNat (nat_lit 41061810898072615441167024130), Int.negSucc (nat_lit 164565376156251744654994702339), Int.ofNat (nat_lit 66505118960060874054361415680), Int.ofNat (nat_lit 35227790542298552578923823100), Int.negSucc (nat_lit 42309228818788469578504601599), Int.ofNat (nat_lit 15357158171288684391447920640), Int.negSucc (nat_lit 1546312816707960577019871229), Int.negSucc (nat_lit 479188232865094926531035139), Int.ofNat (nat_lit 106558127872725019579645950), Int.ofNat (nat_lit 3139026198912543823495170)]
  terms := [termHA_0, termHA_1, termHA_2, termHA_3, termHA_4, termHA_5, termHA_6, termHA_7]

def parHB : Par := ⟨49, 50, 0, 0⟩

def termHB_0 : Term :=
  ⟨false, false, false, [(nat_lit 539481658050, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 11936048870), Int.ofNat (nat_lit 2751003842), Int.ofNat (nat_lit 7262407926), Int.ofNat (nat_lit 5959387786), Int.ofNat (nat_lit 1454314618), Int.negSucc (nat_lit 8745235396), Int.negSucc (nat_lit 6543670354), Int.negSucc (nat_lit 1191371784), Int.negSucc (nat_lit 1398828434), Int.ofNat (nat_lit 8576966187)]), (nat_lit 1245419973500, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3629686448), Int.ofNat (nat_lit 2277628587), Int.ofNat (nat_lit 2608848310), Int.negSucc (nat_lit 1660807504), Int.negSucc (nat_lit 683077248), Int.ofNat (nat_lit 735898699), Int.negSucc (nat_lit 1939682049), Int.negSucc (nat_lit 478912124), Int.ofNat (nat_lit 1761760694)]), (nat_lit 452499261600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3628688572), Int.ofNat (nat_lit 2352627070), Int.ofNat (nat_lit 1882812236), Int.ofNat (nat_lit 728791776), Int.negSucc (nat_lit 2698337777), Int.negSucc (nat_lit 1959370686), Int.ofNat (nat_lit 1859474512), Int.ofNat (nat_lit 421705503)]), (nat_lit 504895021750, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3973988237), Int.ofNat (nat_lit 4089755059), Int.ofNat (nat_lit 150449429), Int.negSucc (nat_lit 1471495749), Int.ofNat (nat_lit 535177232), Int.negSucc (nat_lit 1402985961), Int.ofNat (nat_lit 995911378)]), (nat_lit 630745065300, [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 3060339752), Int.ofNat (nat_lit 1380828012), Int.ofNat (nat_lit 2098412382), Int.negSucc (nat_lit 785579784), Int.negSucc (nat_lit 962759251), Int.ofNat (nat_lit 222932994)]), (nat_lit 558200514200, [Int.ofNat (nat_lit 0), 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 2717714378), Int.ofNat (nat_lit 830614800), Int.ofNat (nat_lit 1568998057), Int.ofNat (nat_lit 345851411), Int.negSucc (nat_lit 1129500926)]), (nat_lit 739596705700, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2897242408), Int.ofNat (nat_lit 1524140259), Int.ofNat (nat_lit 1491782869), Int.negSucc (nat_lit 1192308530)]), (nat_lit 704220192150, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2418449929), Int.ofNat (nat_lit 1289431357), Int.ofNat (nat_lit 95848254)]), (nat_lit 927758304550, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2451553422), Int.ofNat (nat_lit 1408829278)]), (nat_lit 1373146909250, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 294455151)]), (nat_lit 984986175450, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 633611577186528460800, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 419352001956859084800, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 995710698148718182400, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), 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(nat_lit 15212606946012757919472200, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 326918525554268509450, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 2721799780745792592850, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 15201186016123584181917600, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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def termHB_1 : Term :=
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def termHB_2 : Term :=
  ⟨false, true, false, [(nat_lit 14778012945, [Int.ofNat (nat_lit 8589934592), Int.negSucc (nat_lit 16879963951), Int.negSucc (nat_lit 14925747298), Int.ofNat (nat_lit 25808063926), Int.ofNat (nat_lit 25213921779), Int.negSucc (nat_lit 16081943105), Int.negSucc (nat_lit 10423926723), Int.negSucc (nat_lit 4857120967), Int.negSucc (nat_lit 7777155040), Int.ofNat (nat_lit 10156380525)]), (nat_lit 21948159984, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 6797441597), Int.ofNat (nat_lit 4182395317), Int.ofNat (nat_lit 4320001540), Int.negSucc (nat_lit 4844222546), Int.ofNat (nat_lit 1799786972), Int.ofNat (nat_lit 1549825481), Int.negSucc (nat_lit 3847177643), Int.ofNat (nat_lit 1275492466)]), (nat_lit 14558927871, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3372143145), Int.ofNat (nat_lit 1611889500), Int.ofNat (nat_lit 2412986200), Int.ofNat (nat_lit 836594578), Int.negSucc (nat_lit 3301877028), Int.negSucc (nat_lit 1094418537), Int.ofNat (nat_lit 1837542577)]), (nat_lit 10960152819, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2943140018), Int.ofNat (nat_lit 1677440879), Int.negSucc (nat_lit 210986234), Int.ofNat (nat_lit 1475709763), Int.ofNat (nat_lit 334213207), Int.negSucc (nat_lit 1500791146)]), (nat_lit 33062727803, [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 3083275959), Int.ofNat (nat_lit 1360158031), Int.ofNat (nat_lit 1803313166), Int.ofNat (nat_lit 45159696), Int.negSucc (nat_lit 1265635120)]), (nat_lit 33914677574, [Int.ofNat (nat_lit 0), 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 1505130666), Int.ofNat (nat_lit 956410121), Int.ofNat (nat_lit 472727474), Int.negSucc (nat_lit 453338845)]), (nat_lit 11853841191, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2759348731), Int.ofNat (nat_lit 2000475372), Int.negSucc (nat_lit 273329086)]), (nat_lit 16419313451, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2523871521), Int.ofNat (nat_lit 1491038218)]), (nat_lit 27058613538, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 296742951)]), (nat_lit 9267982035, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 82432084616052473820, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 95666323919596421140, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 94627321369755385860, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 62232509891813048340, [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 66108734330279821360, [Int.ofNat (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 79937980611793256440, [Int.ofNat (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 30802455523999350820, [Int.ofNat (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 14917586502983614460, [Int.ofNat (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 32941784228780048400, [Int.ofNat (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 306795258450222371569580, [Int.ofNat (nat_lit 1)]), (nat_lit 172090592927648208776, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 188070285330888974804, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 110259915449657470020, [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 122637191747014832064, [Int.ofNat (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 136695163004335276836, [Int.ofNat (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 62499297015989056912, [Int.ofNat (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 15815954086833165268, [Int.ofNat (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 59146043207809757612, [Int.ofNat (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 306527330317638600799072, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 257479941182191994842, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 251981681806702321175, [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 219844793963476994966, [Int.ofNat (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 218828083894875326972, [Int.ofNat (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 43706786557506620832, [Int.ofNat (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 110166341888976866089, [Int.ofNat (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 105659673833941078821, [Int.ofNat (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 306141581419428935160110, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 132616509462132844614, [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 155171463576268543888, [Int.ofNat (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 235243836936703933028, [Int.ofNat (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 98770179887608315150, [Int.ofNat (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 20686177854789660698, [Int.ofNat (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 60330945818428604516, [Int.ofNat (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 306245384283645934120324, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 154343889194226016011, [Int.ofNat (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 214226272256291472967, [Int.ofNat (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 139503619397117114471, [Int.ofNat (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 38591982908633156890, [Int.ofNat (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 53945645844365907910, [Int.ofNat (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 306219534919207873673870, [Int.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 204521189300049064287, [Int.ofNat (nat_lit 0), Int.ofNat (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 80822634320921923203, [Int.ofNat (nat_lit 0), Int.ofNat (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 19823516341084564079, [Int.ofNat (nat_lit 0), Int.ofNat (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 81024220055943931867, [Int.ofNat (nat_lit 0), Int.ofNat (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 306404212810459374529364, [Int.ofNat (nat_lit 0), Int.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 52959459796529022763, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 68132884962792221647, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 54689686668754137456, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 306097422295022167944904, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 7912039553425898317, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 70714785060614831204, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 306708967759211868506940, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 73818030273428365522, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 307036486029356527020838, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 306720750742231855526331, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 10262865862, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 11412089953), Int.negSucc (nat_lit 1767357845), Int.ofNat (nat_lit 19489629492), Int.negSucc (nat_lit 2098887470), Int.negSucc (nat_lit 9523348877), Int.ofNat (nat_lit 3125330219), Int.negSucc (nat_lit 5510801708), Int.negSucc (nat_lit 4253543457), Int.ofNat (nat_lit 7727599026)]), (nat_lit 14629930666, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3734342121), Int.ofNat (nat_lit 3105737978), Int.ofNat (nat_lit 444257628), Int.ofNat (nat_lit 318505934), Int.ofNat (nat_lit 670018132), Int.negSucc (nat_lit 3805572296), Int.ofNat (nat_lit 501983432), Int.ofNat (nat_lit 1450791318)]), (nat_lit 19384857669, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 4072962772), Int.ofNat (nat_lit 3470362285), Int.ofNat (nat_lit 2759379742), Int.negSucc (nat_lit 3287920654), Int.negSucc (nat_lit 880743538), Int.negSucc (nat_lit 341385505), Int.ofNat (nat_lit 1315545443)]), (nat_lit 14560808521, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2421337049), Int.negSucc (nat_lit 426826511), Int.ofNat (nat_lit 2284851973), Int.ofNat (nat_lit 1326786838), Int.negSucc (nat_lit 893300202), Int.negSucc (nat_lit 1057655006)]), (nat_lit 12392318905, [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 3219403488), Int.ofNat (nat_lit 2184358502), Int.ofNat (nat_lit 402868858), Int.ofNat (nat_lit 733006037), Int.negSucc (nat_lit 1220077737)]), (nat_lit 13349754951, [Int.ofNat (nat_lit 0), 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 2932532705), Int.ofNat (nat_lit 1560018303), Int.ofNat (nat_lit 1408551904), Int.negSucc (nat_lit 1094232070)]), (nat_lit 14195034587, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2635278042), Int.ofNat (nat_lit 1582218969), Int.ofNat (nat_lit 39084567)]), (nat_lit 21891310577, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2605278540), Int.ofNat (nat_lit 1581060224)]), (nat_lit 10568405557, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 595508881)]), (nat_lit 10729907015, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 29340822788949147692, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 15978737361097850908, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 53299323541001338916, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 22842770189214285808, [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 2365951421091676144, [Int.ofNat (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 20618017657617121312, [Int.ofNat (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 6079446142536384532, [Int.ofNat (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 19366579406687436784, [Int.ofNat (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 6330409202074255348, [Int.ofNat (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 310914821222865527897964, [Int.ofNat (nat_lit 1)]), (nat_lit 38021754247921587840, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 136688448402588051136, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 66060324790494324640, [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 8084222821570217200, [Int.ofNat (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 48456181924855654076, [Int.ofNat (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 8781264299751850816, [Int.ofNat (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 47464824867031364328, [Int.ofNat (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 11560129397586060364, [Int.ofNat (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 310768292501183360849100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 128311482842409439072, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 2134260838841729804, [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 33536702263472770160, [Int.ofNat (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 46432682064328690268, [Int.ofNat (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 59966703716347295672, [Int.ofNat (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 44240956488885341584, [Int.ofNat (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 56409304834958736520, [Int.ofNat (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 310689018495950555805292, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 134090382105858792715, [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 66864369524383831818, [Int.ofNat (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 168358581106395488261, [Int.ofNat (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 99780951726851458903, [Int.ofNat (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 136755338002506538114, [Int.ofNat (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 79198610042813360451, [Int.ofNat (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 310485336927417728964805, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 64759752493130579562, [Int.ofNat (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 24583931936891923613, [Int.ofNat (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 23975635534216154313, [Int.ofNat (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 63335484748323000848, [Int.ofNat (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 44097080101702244397, [Int.ofNat (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 310658496098521169935209, [Int.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 37665926765919527704, [Int.ofNat (nat_lit 0), Int.ofNat (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 8833588243479656920, [Int.ofNat (nat_lit 0), Int.ofNat (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 47566397304161709705, [Int.ofNat (nat_lit 0), Int.ofNat (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 10178279321758761940, [Int.ofNat (nat_lit 0), Int.ofNat (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 310746940106260325319422, [Int.ofNat (nat_lit 0), Int.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 46904605957194664771, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 50979368378963634949, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 69063669919838876730, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 310607297928218388866548, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 10933996865253592597, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 14084169565749213779, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 310858709214883380759414, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 24069769261373062110, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 310642874750663998834043, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 310716201427080006875521, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 50
  Lam := nat_lit 1267650600228229401496703205376
  Q := [Int.ofNat (nat_lit 896361539686994234169727385600), Int.ofNat (nat_lit 448221316774033364521920233472), Int.ofNat (nat_lit 335148639979810583042399928320), Int.ofNat (nat_lit 281292199830840043174153420800), Int.ofNat (nat_lit 262346646047218948170433167360), Int.ofNat (nat_lit 225553106233282495004712894464), Int.ofNat (nat_lit 108294932251667525481921511424), Int.negSucc (nat_lit 3086908640611791913900572671), Int.negSucc (nat_lit 17437352291300406399598591999), Int.ofNat (nat_lit 684824981917612825592725504), Int.ofNat (nat_lit 302867094745145711559442432)]
  terms := [termHB_0, termHB_1, termHB_2, termHB_3]

def parHC : Par := ⟨49, 50, 0, 0⟩

def termHC_0 : Term :=
  ⟨false, false, false, [(nat_lit 1235732001450, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 10328496155), Int.negSucc (nat_lit 909365153), Int.ofNat (nat_lit 8202043049), Int.ofNat (nat_lit 7058369337), Int.negSucc (nat_lit 82964611), Int.negSucc (nat_lit 7311728584), Int.negSucc (nat_lit 3468854894), Int.negSucc (nat_lit 1354303530), Int.negSucc (nat_lit 1656841526), Int.ofNat (nat_lit 5589638399)]), (nat_lit 1148866246950, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3371338831), Int.ofNat (nat_lit 1813237603), Int.ofNat (nat_lit 2419056793), Int.negSucc (nat_lit 1460756086), Int.negSucc (nat_lit 596361590), Int.ofNat (nat_lit 1177050632), Int.negSucc (nat_lit 1519693908), Int.negSucc (nat_lit 953087896), Int.ofNat (nat_lit 1422257067)]), (nat_lit 478779541550, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3508950187), Int.ofNat (nat_lit 2253447033), Int.ofNat (nat_lit 1624833774), Int.ofNat (nat_lit 303273257), Int.negSucc (nat_lit 1771912735), Int.negSucc (nat_lit 1530901563), Int.ofNat (nat_lit 1368373909), Int.ofNat (nat_lit 190366240)]), (nat_lit 495599573150, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3888328574), Int.ofNat (nat_lit 3772504485), Int.ofNat (nat_lit 432860809), Int.negSucc (nat_lit 1386025298), Int.ofNat (nat_lit 411939699), Int.negSucc (nat_lit 1483563901), Int.ofNat (nat_lit 1068243196)]), (nat_lit 536868737900, [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 3326392787), Int.ofNat (nat_lit 1777675255), Int.ofNat (nat_lit 2793653217), Int.negSucc (nat_lit 1558330951), Int.negSucc (nat_lit 2148896636), Int.ofNat (nat_lit 1390106528)]), (nat_lit 1518995247150, [Int.ofNat (nat_lit 0), 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 1432274368), Int.ofNat (nat_lit 838134829), Int.ofNat (nat_lit 336728363), Int.negSucc (nat_lit 60709967), Int.negSucc (nat_lit 217374191)]), (nat_lit 799136414050, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2847526008), Int.ofNat (nat_lit 1545018650), Int.ofNat (nat_lit 1258725983), Int.negSucc (nat_lit 1027452007)]), (nat_lit 506497487100, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2834459994), Int.ofNat (nat_lit 2425199800), Int.negSucc (nat_lit 658014177)]), (nat_lit 596718444450, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2246322706), Int.ofNat (nat_lit 1180672472)]), (nat_lit 741992804450, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 131462905)]), (nat_lit 1604715461650, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 8388608)]), (nat_lit 2166637204668311142400, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 2329095372406154854400, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 1746460584182179430400, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 2584050090226640486400, [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 1468901063020511232000, [Int.ofNat (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 499977081250958540800, [Int.ofNat (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 776198829306281984000, [Int.ofNat (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 1021102697016511692800, [Int.ofNat (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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def termHC_1 : Term :=
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def termHC_2 : Term :=
  ⟨false, true, false, [(nat_lit 11225715245, [Int.ofNat (nat_lit 8589934592), Int.negSucc (nat_lit 16764536405), Int.negSucc (nat_lit 15937708074), Int.ofNat (nat_lit 27606866511), Int.ofNat (nat_lit 26298559425), Int.negSucc (nat_lit 18335714642), Int.negSucc (nat_lit 12151147657), Int.negSucc (nat_lit 5575859833), Int.negSucc (nat_lit 9278034969), Int.ofNat (nat_lit 15487132058)]), (nat_lit 11893719178, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 2147483648), Int.negSucc (nat_lit 7081376221), Int.ofNat (nat_lit 4797985189), Int.ofNat (nat_lit 4778498726), Int.negSucc (nat_lit 5809137976), Int.ofNat (nat_lit 848018575), Int.ofNat (nat_lit 2399668352), Int.negSucc (nat_lit 3975871601), Int.ofNat (nat_lit 1860262493)]), (nat_lit 17561441781, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3196323780), Int.ofNat (nat_lit 1025941779), Int.ofNat (nat_lit 3028040333), Int.ofNat (nat_lit 490221715), Int.negSucc (nat_lit 3230383820), Int.negSucc (nat_lit 639021159), Int.ofNat (nat_lit 1446191598)]), (nat_lit 12149439641, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3090440691), Int.ofNat (nat_lit 2108060462), Int.negSucc (nat_lit 305341898), Int.ofNat (nat_lit 864430972), Int.ofNat (nat_lit 492702555), Int.negSucc (nat_lit 1177984235)]), (nat_lit 32634952952, [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 3022487578), Int.ofNat (nat_lit 1243194396), Int.ofNat (nat_lit 1883973009), Int.negSucc (nat_lit 258141145), Int.negSucc (nat_lit 944405301)]), (nat_lit 29497976207, [Int.ofNat (nat_lit 0), 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 1553479126), Int.ofNat (nat_lit 1044542154), Int.ofNat (nat_lit 492628244), Int.negSucc (nat_lit 519568247)]), (nat_lit 11113287815, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2892349801), Int.ofNat (nat_lit 2419086001), Int.negSucc (nat_lit 583035448)]), (nat_lit 15418087504, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2401290661), Int.ofNat (nat_lit 1347328031)]), (nat_lit 16803072998, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 283455765)]), (nat_lit 18948848692, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 39274200212120272940, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 47407224125789306900, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 5663521329790320660, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 31673932590073511900, [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 16797762674132778980, [Int.ofNat (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 29765605525083389920, [Int.ofNat (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 48232713614878834640, [Int.ofNat (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 21000186135992336400, [Int.ofNat (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 8494197610997874680, [Int.ofNat (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 309209338302061639893000, [Int.ofNat (nat_lit 1)]), (nat_lit 11563505597137725482, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 160064808172740099154, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 216914912171736631706, [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 88830419951429245622, [Int.ofNat (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 126518088563375739460, [Int.ofNat (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 66462365468606620632, [Int.ofNat (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 5411047373773964512, [Int.ofNat (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 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84947932492381486506, [Int.ofNat (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 69607626899550225658, [Int.ofNat (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 122577180693859165574, [Int.ofNat (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 308834832933660857856294, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 87670541064498084620, [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 116409033360933822776, [Int.ofNat (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 92897611055640037891, [Int.ofNat (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 97952403668059317383, [Int.ofNat (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 50528505202965265146, [Int.ofNat (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 35146065853504861386, [Int.ofNat (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 308664789043269611683457, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 15652556459562764080, [Int.ofNat (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 156040400547964203129, [Int.ofNat (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 82782240173325292175, [Int.ofNat (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 16775609817576515186, [Int.ofNat (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 43903739792142792652, [Int.ofNat (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 308509381537839179065717, [Int.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 33054033786576184481, [Int.ofNat (nat_lit 0), Int.ofNat (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 3838857704044100933, [Int.ofNat (nat_lit 0), Int.ofNat (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 67359005210595257044, [Int.ofNat (nat_lit 0), Int.ofNat (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 16704949877139839938, [Int.ofNat (nat_lit 0), Int.ofNat (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 309059431540023750697735, [Int.ofNat (nat_lit 0), Int.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 2759530316560986979, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 7172567696601895667, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 74381875915994110588, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 308827596496585619734324, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 30803250144314329070, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 144063016041333812164, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 309123709885602864391933, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 47792875943035346501, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 309187716362988472105776, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 308953979147783819020852, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 17022313241, [Int.ofNat (nat_lit 4294967296), Int.negSucc (nat_lit 11459364367), Int.negSucc (nat_lit 547111630), Int.ofNat (nat_lit 16363012980), Int.negSucc (nat_lit 851884419), Int.negSucc (nat_lit 7650895354), Int.ofNat (nat_lit 1882280853), Int.negSucc (nat_lit 4157966019), Int.negSucc (nat_lit 6087140617), Int.ofNat (nat_lit 8290329110)]), (nat_lit 15539814755, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3375625464), Int.ofNat (nat_lit 1871732273), Int.ofNat (nat_lit 1358381485), Int.ofNat (nat_lit 1028864988), Int.negSucc (nat_lit 216171681), Int.negSucc (nat_lit 3262602752), Int.negSucc (nat_lit 440069687), Int.ofNat (nat_lit 1981037408)]), (nat_lit 23929730871, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 3946381375), Int.ofNat (nat_lit 3121691173), Int.ofNat (nat_lit 2825503544), Int.negSucc (nat_lit 2989886741), Int.negSucc (nat_lit 871025103), Int.negSucc (nat_lit 336309276), Int.ofNat (nat_lit 1134950348)]), (nat_lit 11912761615, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1073741824), Int.negSucc (nat_lit 2526406706), Int.negSucc (nat_lit 40888881), Int.ofNat (nat_lit 2026075967), Int.ofNat (nat_lit 1164418616), Int.negSucc (nat_lit 1327791364), Int.negSucc (nat_lit 402906830)]), (nat_lit 13388416454, [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 3196116858), Int.ofNat (nat_lit 2206760379), Int.ofNat (nat_lit 137355401), Int.ofNat (nat_lit 967539825), Int.negSucc (nat_lit 1207921762)]), (nat_lit 14337870464, [Int.ofNat (nat_lit 0), 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 2975095288), Int.ofNat (nat_lit 1262694332), Int.ofNat (nat_lit 2346622105), Int.negSucc (nat_lit 1713784947)]), (nat_lit 10648001689, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2952011546), Int.ofNat (nat_lit 2545803537), Int.negSucc (nat_lit 651998940)]), (nat_lit 21342032128, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 2431433571), Int.ofNat (nat_lit 1378329413)]), (nat_lit 19974723014, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 282857884)]), (nat_lit 20571564262, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), 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 81582696216766971952, [Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 33184753329014570984, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 71120939459339616220, [Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 7414628407314481120, [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 19449127650042314720, [Int.ofNat (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 13671728914681036808, [Int.ofNat (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 12414805706580951020, [Int.ofNat (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 48403624673746616352, [Int.ofNat (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 43519563050856218640, [Int.ofNat (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 313968608568100654153728, [Int.ofNat (nat_lit 1)]), (nat_lit 98709967649445741172, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 1)]), (nat_lit 326403417432342586020, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.ofNat (nat_lit 0), Int.negSucc (nat_lit 0)]), (nat_lit 9802233198621357660, [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 121360447371248961000, [Int.ofNat (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 22339397855034201804, [Int.ofNat (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 1333952051050064400, [Int.ofNat (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 173723562436092257376, [Int.ofNat (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 190065124222602688880, [Int.ofNat (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 313566958803785994282672, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 106286972135452338341, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1), Int.negSucc (nat_lit 0)]), (nat_lit 17237380975509022563, [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 31273282880813042519, [Int.ofNat (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 16434126154436108619, [Int.ofNat (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 12432558887595901121, [Int.ofNat (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 55293547628447345230, [Int.ofNat (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 20418762446314472982, [Int.ofNat (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 313861850097918094083697, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 29435635455750130747, [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 37473002549325512576, [Int.ofNat (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 41968976934060357062, [Int.ofNat (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 62584891334130150451, [Int.ofNat (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 167742615931492187232, [Int.ofNat (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 109207627932997713348, [Int.ofNat (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 313617559313376599072072, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 1)]), (nat_lit 12209743054952181198, [Int.ofNat (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 40945333015549884453, [Int.ofNat (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 38920156384110608309, [Int.ofNat (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 34583078553521185194, [Int.ofNat (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 58716412640535581109, [Int.ofNat (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 314127765064046794387474, [Int.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 84487665461748856811, [Int.ofNat (nat_lit 0), Int.ofNat (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 54430093297307368270, [Int.ofNat (nat_lit 0), Int.ofNat (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 30327608409843272798, [Int.ofNat (nat_lit 0), Int.ofNat (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 42043388249963214942, [Int.ofNat (nat_lit 0), Int.ofNat (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 313820974990037078959167, [Int.ofNat (nat_lit 0), Int.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 40489075025080229320, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 38827286513858548143, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 41220298275556915633, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 313890448910434863924557, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 45214855677811517517, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 28043661459517320859, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 313951344933283570899543, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 165718046743020377638, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (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 313631412377408307017135, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 313720225318743165186105, [Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.ofNat (nat_lit 0), Int.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 50
  Lam := nat_lit 1267650600228229401496703205376
  Q := [Int.ofNat (nat_lit 896347815216542969859131047938), Int.ofNat (nat_lit 447987340737892477413363810306), Int.ofNat (nat_lit 335846374518968247988615380990), Int.ofNat (nat_lit 285101716901237378763984994302), Int.ofNat (nat_lit 259451942939248059368664465408), Int.ofNat (nat_lit 207039563435807720065938227202), Int.ofNat (nat_lit 96945901357088257835798626302), Int.ofNat (nat_lit 2567082818564465941253455872), Int.negSucc (nat_lit 14580147359689503449601277949), Int.negSucc (nat_lit 1839098222563557906294243329), Int.ofNat (nat_lit 652069378258595307048665088)]
  terms := [termHC_0, termHC_1, termHC_2, termHC_3]

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