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Proof step 7 from proof not-pre1-term-unfair (previous step)

□ (R1(pm, S', S'') ∧ R2(pm, S', S'')), boolvar ∨ n = N + 1 ∧ N = N'' + 1 until Boolvar, ¬ boolvar ∧ G2(pm, s1, s2) ∧ ¬ R2(pm, s2, s0) ∧ ¬ boolvar1 ∧ [:S | Boolvar ::- [PL ¬ Pre1(pm, S)] ∥nf false ::- [PL S = s0]] ∨ ¬ boolvar ∧ G2(pm, s1, s2) ∧ ¬ R2(pm, s2, s3) ∧ ¬ boolvar1 ∧ [:S | Boolvar ::- [PL ¬ Pre1(pm, S)] ∥nf false ::- [PL S = s3 ∧ ¬ □ R2(pm, S', S'')]] ∨ ¬ boolvar ∧ G2(pm, s1, s2) ∧ ¬ R2(pm, s2, s4) ∧ ¬ boolvar1 ∧ [:S | Boolvar ::- [PL ¬ Pre1(pm, S)] ∥nf false ::- [PL S = s4 ∧ ◇ last]] ∨ ¬ boolvar ∧ G2(pm, s1, s2) ∧ R2(pm, s2, s5) ∧ ¬ boolvar1 ∧ [:S | Boolvar ::- [PL ¬ Pre1(pm, S)] ∥nf false ::- [PL S = s5 ∧ R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s, S);G2(pm, S, S')) ∧ ¬ □ R2(pm, S', S'')] ] ∨ ¬ boolvar ∧ G2(pm, s1, s2) ∧ R2(pm, s2, s6) ∧ ¬ boolvar1 ∧ [:S | Boolvar ::- [PL ¬ Pre1(pm, S)] ∥nf false ::- [PL S = s6 ∧ R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s, S);G2(pm, S, S')) ∧ ◇ last]], 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 ⊦ ◇ last

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: left 3

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