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Proof step 8 from proof reachable-modbehind (previous step)

path(r ' + x, H), reachable((r ' + x).last, r1, H), (r ' + x).last ∈ H, r1 ∈ H ⊦ reachable(r1, (r ' + x).last, H), path(r ' + x, H[r1, ce]) ∧ (r ' + x).last = (r ' + x).last

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
path(r ' + x, H), reachable((r ' + x).last, r1, H), (r ' + x).last ∈ H, r1 ∈ H ⊦ reachable(r1, (r ' + x).last, H), path(r ' + x, H[r1, ce])

Proof step 8 from proof reachable-modbehind (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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