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Proof step 44 from proof spawn-sat-rg-strnger (previous step)

¬ Pr(n0 + 1)(s) ∧ ¬ Prton(n0)(s) ∨ ¬ Pr(n0 + 1)(s) ∧ ¬ boolvar ∧ [:Inpf, S, Outf | [PL true] ∥ [PL ¬ GInv(S) ∨ ¬ Prton(n0)(S)]] ∨ ¬ Pr(n0 + 1)(s) ∧ ¬ Prton(n0)(s) ∧ [:Inpf, S, Outf | [PL true] ∥ [PL true]] ∨ ¬ Prton(n0)(s) ∧ ¬ Pr(n0 + 1)(s) ∨ ¬ Prton(n0)(s) ∧ ¬ boolvar ∧ [:Inpf, S, Outf | [PL ¬ GInv(S) ∨ ¬ Pr(n0 + 1)(S)] ∥ [PL true]] ∨ ¬ Prton(n0)(s) ∧ ¬ Pr(n0 + 1)(s) ∧ [:Inpf, S, Outf | [PL true] ∥ [PL true]], GInv(s), ∀ m0. m0 ≤ n0 + 1 → Pr(m0)(s), boolvar → s = s0 ∧ inpf = inpf0 ∧ outf = outf0 ⊦ Gton(n0 + 1)(s, s0) ∧ ¬ boolvar ∧ GInv(s0) ∧ ( Rton(n0 + 1)(s0, 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 case distinction

And obtained the following new goals

Rule argument

pos: left 1

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