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Proof step 15 from proof cyclic-floyd-def (previous step)

¬ m1 * m2 ≠ 0, reachable-n(H, (m2 + 1) + m1 * m2 + m1, r, r1), reachable-n(H, m2 + 1, r, r2), m1 * m2 ≤ 1, reachable-n(H, m1 + 1, r2, r2), reachable-n(H, 2 + m2 + m1, r, r2), ∀ n. reachable-n(H, (m2 + 1) + n * m1 + n, r, r2) ⊦ reachable-n(H, m1 * m2 + m1, r2, r1), reachable-n(H, 2 * (m1 * m2 + m2 + m1) + 2, r, r1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
m1 * m2 = 0, reachable-n(H, 2 + m2 + m1, r, r2), reachable-n(H, m1 + 1, r2, r2), reachable-n(H, m2 + 1, r, r2), reachable-n(H, 1 + m2 + m1, r, r1), ∀ n. reachable-n(H, (m2 + 1) + n * m1 + n, r, r2) ⊦ reachable-n(H, 2 + 2 * (m2 + m1), r, r1), reachable-n(H, m1, r2, r1)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ 0 + m = m], [CSIMPSEQ : ⊦ m * n = n * m])]]