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Proof step 10 from proof not-pre1-term-unfair (previous step)

□ (R1(pm, S', S'') ∧ R2(pm, S', S'')), [:S | Boolvar ::- [PL ¬ Pre1(pm, S)] ∥nf false ::- [PL S = s3 ∧ ¬ □ R2(pm, S', S'')]], boolvar ∨ n = N + 1 ∧ N = N'' + 1 until Boolvar, INDHYP-nat(n), RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), Pre1(pm, s1), Pre2(pm, s), R1(pm, s2, S), R2(pm, s2, S), I(pm, s1), I(pm, s), boolvar1 → s1 = s2 ∧ (boolvar ↔ boolvar0) ∧ n = n0, ¬ boolvar, G2(pm, s1, s2), ¬ R2(pm, s2, s3), ¬ boolvar1 ⊦ ◇ last

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
□ (R1(pm, S', S'') ∧ R2(pm, S', S'')), [:S | Boolvar ::- [PL ¬ Pre1(pm, S)] ∥nf false ::- [PL S = s3 ∧ ¬ □ R2(pm, S', S'')]], N = N'' + 1 until Boolvar, INDHYP-nat(N + 1), R1(pm, s1, S), Pre1(pm, s2), I(pm, s2), RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), Pre1(pm, s1), Pre2(pm, s), R1(pm, s2, S), R2(pm, s2, S), I(pm, s1), I(pm, s), G2(pm, s1, s2), R1(pm, s1, s2), I(pm, S), Pre1(pm, S), ¬ R2(pm, s2, s3) ⊦ ◇ last

Rule argument

Additional information

Used simplifier rules: g2-r1: ⊦ RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2) ∧ G2(pm, s, s0) ∧ I(pm, s) → R1(pm, s, s0);%r1-trans: ⊦ RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2) ∧ R1(pm, s, s0) ∧ R1(pm, s0, s1) ∧ I(pm, s) → R1(pm, s, s1);%pre1-r1: ⊦ RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2) ∧ R1(pm, s, s0) ∧ Pre1(pm, s) → Pre1(pm, s0);%i-r1-i: ⊦ RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2) ∧ R1(pm, s, s0) ∧ I(pm, s) → I(pm, s0);%i-r2-i: ⊦ RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2) ∧ R2(pm, s, s0) ∧ I(pm, s) → I(pm, s0);