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Proof step 96 from proof rg2-lem1-term-unfair (previous step)

N0 = N0'' + 1 until Boolvar0, □ (R1(pm, S', S'') ∧ R2(pm, S', S'')), [:S | Boolvar0 ∨ Boolvar ::- [PL N = n16 ∧ N' = N'' + 1 until ¬ R1(pm, S', S'') ∧ R1(pm, S', S'') -+-> (last ⊃ Post1(pm, s, S);G1(pm, S, S'))] ∥nf false ::- [PL S = s6 ∧ N = n5 ∧ □ ¬ N' < N'' ∧ R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s, S);G2(pm, S, S')) ∧ ◇ last] ], □ (N = N' ∧ ¬ N' < N''), (INDHYP-nat(n16 + 1) ∧ INDHYP-nat0(n16 + 1)) ∧ INDHYP-nat1(N0 + 1), N = n16 + 1, R2(pm, s3, S), R1(pm, s3, S), I(pm, s2), RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), Pre1(pm, s), Pre2(pm, s), I(pm, s3), R1(pm, s2, S), I(pm, s6), I(pm, S), R1(pm, s2, s3), n5 ≤ n16 + 1, R2(pm, s3, s6), G2(pm, s2, s3), I(pm, s) ⊦ [:S | Boolvar0 ∨ Boolvar ::- [PL N = n16 ∧ N' = N'' + 1 until ¬ R1(pm, S', S'') ∧ R1(pm, S', S'') -+-> (last ⊃ Post1(pm, s, S);G1(pm, S, S'))] ∥nf false ::- [PL □ ¬ N' < N'' ∧ R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s, S);G2(pm, S, S')) ∧ (□ R2(pm, S', S'') → ◇ last)] ] ∧ N0 = N0'' +1 until Boolvar0 ∧ □ (R1(pm, S', S'') ∧ R2(pm, S', S'')) ∧ □ (N = N' ∧ ¬ N' < N'') ∧ N = n16 + 1 ∧ Pre2(pm, s) ∧ Pre1(pm, s) ∧ RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2) ∧ I(pm, S), ◇ last

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: succ: ⊦ m +1 = m + 1; from specification nat-basic2