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Proof step 2 from proof no-progress-left-aux (previous step)

[:S | [PL □ (¬ P(pm, S) ∧ ¬ last) ∧ R1(pm, S', S'') -+-> (last ⊃ Post1(pm, s, S);G1(pm, S, S'))] ∥ [PL R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s, S);G2(pm, S, S'))] ], □ (R1(pm, S', S'') ∧ R2(pm, S', S'')), RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), stable(pm, I, R1), stable(pm, I, R2), I(pm, S), Pre1(pm, s), Pre2(pm, s), P-restr(pm, P, I, R1) ⊦ □ (¬ P(pm, S) ∧ ¬ last)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
□ (R1(pm, S', S'') ∧ R2(pm, S', S'')), [:S | [PL □ (¬ P(pm, S) ∧ ¬ last) ∧ R1(pm, S', S'') -+-> G1(pm, S, S')] ∥ [PL R2(pm, S', S'') -+-> (last ⊃ Post2(pm, s, S);G2(pm, S, S'))]], RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), stable(pm, I, R1), stable(pm, I, R2), I(pm, S), Pre1(pm, s), Pre2(pm, s), P-restr(pm, P, I, R1) ⊦ □ (¬ P(pm, S) ∧ ¬ last)

Proof step 2 from proof no-progress-left-aux (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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