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Proof step 12 from proof cyclic-alt-def (previous step)

∃ r1. reachable-n(H, m, r, r1) ∧ reachable-n(H, n - m, r1, r0), reachable-n(H, n, r, r0), reachable-n(H, m, r, r0), m < n ⊦ ∃ m, r0. reachable-n(H, m, r, r0) ∧ (∃ n. n ≠ 0 ∧ (∀ n0. reachable-n(H, m + n0 * n, r, r0)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
m < n, reachable-n(H, n, r, r0), reachable-n(H, n - m, r0, r0), reachable-n(H, m, r, r0) ⊦ ∃ m, r0. reachable-n(H, m, r, r0) ∧ (∃ n. n ≠ 0 ∧ (∀ n0. reachable-n(H, m + n0 * n, r, r0)))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ reachable-n(H, n, r, r0) ∧ reachable-n(H, n, r, r1) → r0 = r1])]]