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Proof step 11 from proof fair-never-violates-left-rely (previous step)

boolvar ∨ n = N + 1 ∧ N = N'' + 1 until Boolvar, [:S | Boolvar ::- [PL S = s] ∥ false ::- [PL S = s5 ∧ R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s1, S);G2(pm, S, S'))]], □ (R1(pm, S', S'') ∧ R2(pm, S', S'')), \A ∀ N, R1, pm, S, R2, Boolvar, s, Post2, s1, G2, G1, Pre1, Post1, I, Pre2, s0. N < n → □ (R1(pm, S', S'') ∧ R2(pm, S', S'')) ∧ N = N'' +1 until Boolvar ∧ [:S | Boolvar ::- [PL S = s] ∥ false ::- [PL R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s1, S);G2(pm, S, S'))]] ∧ RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2) ∧ Pre2(pm, s1) ∧ I(pm, s0) ∧ R1(pm, s0, S) ∧ I(pm, S) ∧ I(pm, s1) ∧ ¬ R1(pm, s0, s) → false, RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), Pre2(pm, s1), I(pm, s0), R1(pm, s0, s2), R1(pm, s3, S), R2(pm, s3, S), I(pm, s2), I(pm, s1), ¬ R1(pm, s0, s), boolvar1 → s2 = s3 ∧ (boolvar ↔ boolvar0) ∧ n = n0, ¬ boolvar, G2(pm, s2, s3), R2(pm, s3, s5), ¬ boolvar1 ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
[:S | Boolvar ::- [PL S = s] ∥ false ::- [PL S = s5 ∧ R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s1, S);G2(pm, S, S'))]], □ (R1(pm, S', S'') ∧ R2(pm, S', S'')), N = N'' + 1 until Boolvar, \A ∀ N, R1, pm, S, R2, Boolvar, s, Post2, s1, G2, G1, Pre1, Post1, I, Pre2, s0. N < n → □ (R1(pm, S', S'') ∧ R2(pm, S', S'')) ∧ N = N'' +1 until Boolvar ∧ [:S | Boolvar ::- [PL S = s] ∥ false ::- [PL R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s1, S);G2(pm, S, S'))]] ∧ RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2) ∧ Pre2(pm, s1) ∧ I(pm, s0) ∧ R1(pm, s0, S) ∧ I(pm, S) ∧ I(pm, s1) ∧ ¬ R1(pm, s0, s) → false, n = N + 1, R1(pm, s0, s3), R1(pm, s2, S), I(pm, s3), I(pm, S), RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), Pre2(pm, s1), I(pm, s0), R1(pm, s0, s2), R1(pm, s3, S), R2(pm, s3, S), I(pm, s2), I(pm, s1), G2(pm, s2, s3), R2(pm, s3, s5), R1(pm, s2, s3), R1(pm, s0, S), I(pm, s5), ¬ R1(pm, s0, s) ⊦

Rule argument

Additional information

Used simplifier rules: r-g-r: ⊦ RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2) ∧ R1(pm, s, s0) ∧ G2(pm, s0, s1) ∧ R1(pm, s1, s2) ∧ I(pm, s) → R1(pm, s, s2);%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);%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);