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Proof step 55 from proof add-preserves-reachable (previous step)

∃ x. path(H[r].nxt ' + x, H) ∧ (H[r].nxt ' + x).last = ce.nxt, H[r1].nxt = H[ce.nxt].nxt, reachable(H[r].nxt, r1, H), (H[r].nxt ' + x0).last ∈ H, reachable(r, r1, H), ce.nxt ∈ H, path(H[r].nxt ' + x0, H), r ∈ H, r1 ∈ H ⊦ r = r1, r = null, ce.nxt = null, reachable(r, (H[r].nxt ' + x0).last, H[r1, ce]), ∃ x. path(r ' + x, H) ∧ (r ' + x).last = ce.nxt

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 56:
(H[r].nxt ' + x).last = ce.nxt, H[r1].nxt = H[ce.nxt].nxt, path(H[r].nxt ' + x, H), reachable(H[r].nxt, r1, H), (H[r].nxt ' + x0).last ∈ H, reachable(r, r1, H), ce.nxt ∈ H, path(H[r].nxt ' + x0, H), r ∈ H, r1 ∈ H ⊦ r = r1, r = null, ce.nxt = null, reachable(r, (H[r].nxt ' + x0).last, H[r1, ce]), ∃ x. path(r ' + x, H) ∧ (r ' + x).last = ce.nxt

Proof step 55 from proof add-preserves-reachable (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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