| [:S | [PL R1(pm, S', S'') -+-> (last ⊃ Post1(pm, s1, S);G1(pm, S, S'))] ∥nf [PL S = s]], RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), R2(pm, s0, S), ¬ R2(pm, s0, s), I(pm, s0), Pre1(pm, s1), Pre2(pm, s1) ⊦ (R1(pm, S', S'') ∧ R2(pm, S', S'')) -+-> (last ⊃ Post1(pm, s1, S) ∧ Post2(pm, s1, S);G1(pm, S, S') ∨ G2(pm, S, S')) |
[:S | [PL R1(pm, S', S'') -+-> (last ⊃ Post1(pm, s1, S);G1(pm, S, S'))] ∥nf [PL S = s]], RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2), R2(pm, s0, S), I(pm, s0), Pre1(pm, s1), Pre2(pm, s1), I(pm, S), I(pm, s1), ¬ R2(pm, s0, s) ⊦ (R1(pm, S', S'') ∧ R2(pm, S', S'')) -+-> (last ⊃ Post1(pm, s1, S) ∧ Post2(pm, s1, S);G1(pm, S, S') ∨ G2(pm, S, S'))
Used simplifier rules: pre2-i: ⊦ RG-restr(pm, R1, G1, Pre1, Post1, I, R2, G2, Pre2, Post2) ∧ Pre2(pm, s) → I(pm, s);%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);