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Proof step 155 from proof spawn-sat-rg-strnger (previous step)

[:Inpf, S, Outf | [PL GInv(S) ∧ Pr(n0 + 1)(S) ∧ (Ry(n0 + 1)(S', S'') ∧ (GInv(S') → GInv(S''))) -+-> (last ⊃ Po(n0 + 1)(S) ∧ GInv(S);Gr(n0 + 1)(S, S') ∧ ¬ blocked ∧ (GInv(S) → GInv(S'))) ] ∥ [PL GInv(S) ∧ Prton(n0)(S) ∧ (Rton(n0)(S', S'') ∧ (GInv(S') → GInv(S''))) -+-> (last ⊃ Poton(n0)(S) ∧ GInv(S);Gton(n0)(S, S') ∧ ¬ blocked ∧ (GInv(S) → GInv(S'))) ] ], Prton(n0 + 1)(S), GInv(S) ⊦ (Rton(n0 + 1)(S', S'') ∧ (GInv(S') → GInv(S''))) -+-> (last ⊃ Poton(n0 + 1)(S) ∧ GInv(S);Gton(n0 + 1)(S, S') ∧ ¬ blocked ∧ (GInv(S) → GInv(S')))

User applied rule extract vars

And obtained the following new goals

Proof step 156:
□ (Outf = Outf' ∧ Inpf = Inpf'), [:S | [PL GInv(S) ∧ Pr(n0 + 1)(S) ∧ (Ry(n0 + 1)(S', S'') ∧ (GInv(S') → GInv(S''))) -+-> (last ⊃ Po(n0 + 1)(S) ∧ GInv(S);Gr(n0 + 1)(S, S') ∧ ¬ blocked ∧ (GInv(S) → GInv(S'))) ] ∥ [PL GInv(S) ∧ Prton(n0)(S) ∧ (Rton(n0)(S', S'') ∧ (GInv(S') → GInv(S''))) -+-> (last ⊃ Poton(n0)(S) ∧ GInv(S);Gton(n0)(S, S') ∧ ¬ blocked ∧ (GInv(S) → GInv(S'))) ] ], Prton(n0 + 1)(S), GInv(S) ⊦ (Rton(n0 + 1)(S', S'') ∧ (GInv(S') → GInv(S''))) -+-> (last ⊃ Poton(n0 + 1)(S) ∧ GInv(S);Gton(n0 + 1)(S, S') ∧ ¬ blocked ∧ (GInv(S) → GInv(S')))

Proof step 155 from proof spawn-sat-rg-strnger (previous step)

User applied rule extract vars

And obtained the following new goals

Rule argument

Additional information