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Proof step 19 from proof rem-reachable (previous step)

ce.nxt = H[H[r1].nxt].nxt, path(H[r1].nxt ' + x0, H), reachable(H[r1].nxt, (H[r1].nxt ' + x0).last, H[r1, ce]), r1 ∈ H, H[r1].nxt ∈ H, r1 ∈ H[r1, ce], reachable(H[r1].nxt, (H[r1].nxt ' + x0).last, H[r1, ce]) ∧ H[r1].nxt ≠ (H[r1].nxt ' + x0).last → (reachable(H[r1, ce][H[r1].nxt].nxt, (H[r1].nxt ' + x0).last, H[r1, ce]) ↔ true) ⊦ (H[r1].nxt ' + x0).last = H[r1].nxt, H[r1].nxt = null, r1 = null, reachable(ce.nxt, (H[r1].nxt ' + x0).last, H[r1, ce]), reachable(r1, (H[r1].nxt ' + x0).last, H[r1, ce])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
ce.nxt = H[H[r1].nxt].nxt, path(H[r1].nxt ' + x0, H), reachable(H[r1].nxt, (H[r1].nxt ' + x0).last, H[r1, ce]), reachable(H[r1, ce][H[r1].nxt].nxt, (H[r1].nxt ' + x0).last, H[r1, ce]), r1 ∈ H[r1, ce], H[r1].nxt ∈ H, r1 ∈ H ⊦ (H[r1].nxt ' + x0).last = H[r1].nxt, H[r1].nxt = null, r1 = null, reachable(r1, (H[r1].nxt ' + x0).last, H[r1, ce]), reachable(ce.nxt, (H[r1].nxt ' + x0).last, H[r1, ce])

Proof step 19 from proof rem-reachable (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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