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Proof step 95 from proof reachable-addnew-rev (previous step)

reachable(ce.nxt, r1, H), ∃ x. path(ce.nxt ' + x, H[H[r0].nxt, ce]) ∧ (ce.nxt ' + x).last = r1, reachable(r, r0, H[H[r0].nxt, ce]), reachable(r, r0, H), r ∈ H, r0 ∈ H, r0 ∈ H[H[r0].nxt, ce], r1 ∈ H[H[r0].nxt, ce], r1 ∈ H ⊦ H[r0].nxt = null, reachable(r, r1, H[H[r0].nxt, ce]), reachable(r, r1, H), H[r0].nxt ∈ H, reachable(r0, r1, H[H[r0].nxt, ce])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 96:
reachable(ce.nxt, (ce.nxt ' + x).last, H), path(ce.nxt ' + x, H[H[r0].nxt, ce]), reachable(r, r0, H[H[r0].nxt, ce]), reachable(r, r0, H), r ∈ H, r0 ∈ H, r0 ∈ H[H[r0].nxt, ce], (ce.nxt ' + x).last ∈ H[H[r0].nxt, ce], (ce.nxt ' + x).last ∈ H ⊦ H[r0].nxt = null, reachable(r, (ce.nxt ' + x).last, H[H[r0].nxt, ce]), reachable(r, (ce.nxt ' + x).last, H), H[r0].nxt ∈ H, reachable(r0, (ce.nxt ' + x).last, H[H[r0].nxt, ce])

Rule argument

Additional information

Used simplifier rules: reach-alloc: ⊦ reachable(r, r1, H) → r1 ∈ H;