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Proof step 18 from proof rem-reachable (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
ce.nxt = H[H[r1].nxt].nxt, reachable(H[r1].nxt, (H[r1].nxt ' + x0).last, H[r1, ce]), path(H[r1].nxt ' + x0, H), H[r1].nxt ∈ H, r1 ∈ H, (H[r1].nxt ' + x0).last ∈ H, (H[r1].nxt ' + x0).last ∈ H[r1, ce], reachable(H[r1, ce][H[r1].nxt].nxt, (H[r1].nxt ' + x0).last, H[r1, ce]) ⊦ H[r1].nxt = null, (H[r1].nxt ' + x0).last = H[r1].nxt, 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 18 from proof rem-reachable (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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