[grind.eqc] (p ∨ q) = True
[grind.eqc] (p ∨ ¬q) = True
[grind.eqc] (¬p ∨ q) = True
[grind.eqc] (¬p ∨ ¬q) = True
[grind.split] ¬p ∨ ¬q, generation: 0
[grind.eqc] p = False
[grind.eqc] (p ∨ q) = q
[grind.eqc] (¬q) = False
[grind.eqc] (p ∨ ¬q) = ¬q
[grind.eqc] q = False
[grind.eqc] (p ∨ q) = p
[grind.eqc] (¬p) = False
[grind.eqc] (¬p ∨ q) = q
[grind.eqc] (if p then a else b) = c
[grind.eqc] R a = True
[grind.eqc] R b = True
[grind.eqc] R c = False
grind_split.lean:32:0-32:7: warning: declaration uses `sorry`
[grind] working on goal `grind`
[grind.eqc] HasType e t₁ = True
[grind.eqc] HasType e t₂ = True
[grind.eqc] (t₁ = t₂) = False
[grind.split] HasType e t₂, generation: 0
[grind] working on goal `grind.1`
[grind.eqc] e = Expr.nat v
[grind.eqc] t₂ = Ty.nat
[grind.eqc] ⋯ ≍ ⋯
[grind.eqc] HasType (Expr.nat v) Ty.nat = True
[grind.split] HasType e t₁, generation: 0
[grind] working on goal `grind.1.1`
[grind.eqc] e = Expr.nat v_1
[grind.eqc] v = v_1
[grind.eqc] t₁ = Ty.nat
[grind.eqc] (t₁ = t₂) = True
[grind] closed `grind.1.1`
[grind] working on goal `grind.1.2`
[grind.eqc] HasType a Ty.nat = True
[grind.eqc] HasType b Ty.nat = True
[grind.eqc] e = a.plus b
[grind] closed `grind.1.2`
[grind] working on goal `grind.1.3`
[grind.eqc] e = Expr.bool v_1
[grind] closed `grind.1.3`
[grind] working on goal `grind.1.4`
[grind.eqc] HasType a Ty.bool = True
[grind.eqc] HasType b Ty.bool = True
[grind.eqc] e = a.and b
[grind] closed `grind.1.4`
[grind] working on goal `grind.2`
[grind.eqc] HasType a Ty.nat = True
[grind.eqc] HasType b Ty.nat = True
[grind.eqc] e = a.plus b
[grind.eqc] t₂ = Ty.nat
[grind.eqc] ⋯ ≍ ⋯
[grind.eqc] HasType (a.plus b) Ty.nat = True
[grind.eqc] (HasType a Ty.nat → HasType b Ty.nat → HasType (a.plus b) Ty.nat) = True
[grind.eqc] (HasType a Ty.nat → HasType b Ty.nat → HasType (a.plus b) Ty.nat) =
      (HasType b Ty.nat → HasType (a.plus b) Ty.nat)
[grind.split] HasType e t₁, generation: 0
[grind] working on goal `grind.2.1`
[grind.eqc] e = Expr.nat v
[grind] closed `grind.2.1`
[grind] working on goal `grind.2.2`
[grind.eqc] HasType a_1 Ty.nat = True
[grind.eqc] HasType b_1 Ty.nat = True
[grind.eqc] e = a_1.plus b_1
[grind.eqc] b = b_1
[grind.eqc] a = a_1
[grind.eqc] t₁ = Ty.nat
[grind.eqc] (t₁ = t₂) = True
[grind] closed `grind.2.2`
[grind] working on goal `grind.2.3`
[grind.eqc] e = Expr.bool v
[grind] closed `grind.2.3`
[grind] working on goal `grind.2.4`
[grind.eqc] HasType a_1 Ty.bool = True
[grind.eqc] HasType b_1 Ty.bool = True
[grind.eqc] e = a_1.and b_1
[grind] closed `grind.2.4`
[grind] working on goal `grind.3`
[grind.eqc] e = Expr.bool v
[grind.eqc] t₂ = Ty.bool
[grind.eqc] ⋯ ≍ ⋯
[grind.eqc] HasType (Expr.bool v) Ty.bool = True
[grind.split] HasType e t₁, generation: 0
[grind] working on goal `grind.3.1`
[grind.eqc] e = Expr.nat v_1
[grind] closed `grind.3.1`
[grind] working on goal `grind.3.2`
[grind.eqc] HasType a Ty.nat = True
[grind.eqc] HasType b Ty.nat = True
[grind.eqc] e = a.plus b
[grind] closed `grind.3.2`
[grind] working on goal `grind.3.3`
[grind.eqc] e = Expr.bool v_1
[grind.eqc] v = v_1
[grind.eqc] t₁ = Ty.bool
[grind.eqc] (t₁ = t₂) = True
[grind] closed `grind.3.3`
[grind] working on goal `grind.3.4`
[grind.eqc] HasType a Ty.bool = True
[grind.eqc] HasType b Ty.bool = True
[grind.eqc] e = a.and b
[grind] closed `grind.3.4`
[grind] working on goal `grind.4`
[grind.eqc] HasType a Ty.bool = True
[grind.eqc] HasType b Ty.bool = True
[grind.eqc] e = a.and b
[grind.eqc] t₂ = Ty.bool
[grind.eqc] ⋯ ≍ ⋯
[grind.eqc] HasType (a.and b) Ty.bool = True
[grind.eqc] (HasType a Ty.bool → HasType b Ty.bool → HasType (a.and b) Ty.bool) = True
[grind.eqc] (HasType a Ty.bool → HasType b Ty.bool → HasType (a.and b) Ty.bool) =
      (HasType b Ty.bool → HasType (a.and b) Ty.bool)
[grind.split] HasType e t₁, generation: 0
[grind] working on goal `grind.4.1`
[grind.eqc] e = Expr.nat v
[grind] closed `grind.4.1`
[grind] working on goal `grind.4.2`
[grind.eqc] HasType a_1 Ty.nat = True
[grind.eqc] HasType b_1 Ty.nat = True
[grind.eqc] e = a_1.plus b_1
[grind] closed `grind.4.2`
[grind] working on goal `grind.4.3`
[grind.eqc] e = Expr.bool v
[grind] closed `grind.4.3`
[grind] working on goal `grind.4.4`
[grind.eqc] HasType a_1 Ty.bool = True
[grind.eqc] HasType b_1 Ty.bool = True
[grind.eqc] e = a_1.and b_1
[grind.eqc] b = b_1
[grind.eqc] a = a_1
[grind.eqc] t₁ = Ty.bool
[grind.eqc] (t₁ = t₂) = True
[grind] closed `grind.4.4`
[grind] working on goal `grind`
[grind.eqc] HasType e t₁ = True
[grind.eqc] HasType e t₂ = True
[grind.eqc] (t₁ = t₂) = False
[grind.split] HasType e t₂, generation: 0
[grind] working on goal `grind.1`
[grind.eqc] e = Expr.nat v
[grind.eqc] t₂ = Ty.nat
[grind.eqc] ⋯ ≍ ⋯
[grind.eqc] HasType (Expr.nat v) Ty.nat = True
[grind.split] HasType e t₁, generation: 0
[grind] working on goal `grind.1.1`
[grind.eqc] e = Expr.nat v_1
[grind.eqc] v = v_1
[grind.eqc] t₁ = Ty.nat
[grind.eqc] (t₁ = t₂) = True
[grind] closed `grind.1.1`
[grind] working on goal `grind.1.2`
[grind.eqc] HasType a Ty.nat = True
[grind.eqc] HasType b Ty.nat = True
[grind.eqc] e = a.plus b
[grind] closed `grind.1.2`
[grind] working on goal `grind.1.3`
[grind.eqc] e = Expr.bool v_1
[grind] closed `grind.1.3`
[grind] working on goal `grind.1.4`
[grind.eqc] HasType a Ty.bool = True
[grind.eqc] HasType b Ty.bool = True
[grind.eqc] e = a.and b
[grind] closed `grind.1.4`
[grind] working on goal `grind.2`
[grind.eqc] HasType a Ty.nat = True
[grind.eqc] HasType b Ty.nat = True
[grind.eqc] e = a.plus b
[grind.eqc] t₂ = Ty.nat
[grind.eqc] ⋯ ≍ ⋯
[grind.eqc] HasType (a.plus b) Ty.nat = True
[grind.split] HasType e t₁, generation: 0
[grind] working on goal `grind.2.1`
[grind.eqc] e = Expr.nat v
[grind] closed `grind.2.1`
[grind] working on goal `grind.2.2`
[grind.eqc] HasType a_1 Ty.nat = True
[grind.eqc] HasType b_1 Ty.nat = True
[grind.eqc] e = a_1.plus b_1
[grind.eqc] b = b_1
[grind.eqc] a = a_1
[grind.eqc] t₁ = Ty.nat
[grind.eqc] (t₁ = t₂) = True
[grind] closed `grind.2.2`
[grind] working on goal `grind.2.3`
[grind.eqc] e = Expr.bool v
[grind] closed `grind.2.3`
[grind] working on goal `grind.2.4`
[grind.eqc] HasType a_1 Ty.bool = True
[grind.eqc] HasType b_1 Ty.bool = True
[grind.eqc] e = a_1.and b_1
[grind] closed `grind.2.4`
[grind] working on goal `grind.3`
[grind.eqc] e = Expr.bool v
[grind.eqc] t₂ = Ty.bool
[grind.eqc] ⋯ ≍ ⋯
[grind.eqc] HasType (Expr.bool v) Ty.bool = True
[grind.split] HasType e t₁, generation: 0
[grind] working on goal `grind.3.1`
[grind.eqc] e = Expr.nat v_1
[grind] closed `grind.3.1`
[grind] working on goal `grind.3.2`
[grind.eqc] HasType a Ty.nat = True
[grind.eqc] HasType b Ty.nat = True
[grind.eqc] e = a.plus b
[grind] closed `grind.3.2`
[grind] working on goal `grind.3.3`
[grind.eqc] e = Expr.bool v_1
[grind.eqc] v = v_1
[grind.eqc] t₁ = Ty.bool
[grind.eqc] (t₁ = t₂) = True
[grind] closed `grind.3.3`
[grind] working on goal `grind.3.4`
[grind.eqc] HasType a Ty.bool = True
[grind.eqc] HasType b Ty.bool = True
[grind.eqc] e = a.and b
[grind] closed `grind.3.4`
[grind] working on goal `grind.4`
[grind.eqc] HasType a Ty.bool = True
[grind.eqc] HasType b Ty.bool = True
[grind.eqc] e = a.and b
[grind.eqc] t₂ = Ty.bool
[grind.eqc] ⋯ ≍ ⋯
[grind.eqc] HasType (a.and b) Ty.bool = True
[grind.split] HasType e t₁, generation: 0
[grind] working on goal `grind.4.1`
[grind.eqc] e = Expr.nat v
[grind] closed `grind.4.1`
[grind] working on goal `grind.4.2`
[grind.eqc] HasType a_1 Ty.nat = True
[grind.eqc] HasType b_1 Ty.nat = True
[grind.eqc] e = a_1.plus b_1
[grind] closed `grind.4.2`
[grind] working on goal `grind.4.3`
[grind.eqc] e = Expr.bool v
[grind] closed `grind.4.3`
[grind] working on goal `grind.4.4`
[grind.eqc] HasType a_1 Ty.bool = True
[grind.eqc] HasType b_1 Ty.bool = True
[grind.eqc] e = a_1.and b_1
[grind.eqc] b = b_1
[grind.eqc] a = a_1
[grind.eqc] t₁ = Ty.bool
[grind.eqc] (t₁ = t₂) = True
[grind] closed `grind.4.4`
[grind] working on goal `grind`
[grind.eqc] HasType e t₁ = True
[grind.eqc] HasType e t₂ = True
[grind.eqc] (t₁ = t₂) = False
grind_split.lean:63:0-63:7: warning: declaration uses `sorry`