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Proof step 22 from proof rem-reachable-rev-weak (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
(H[r].nxt ' + x).last = (H[r].nxt ' + x0).last, ce.nxt = H[H[r1].nxt].nxt, path(H[r].nxt ' + x, H), path(H[r].nxt ' + x0, H[r1, ce]), H[r1].nxt ∈ H, r1 ∈ H, r ∈ H ⊦ (H[r].nxt ' + x0).last = H[r1].nxt, H[r1].nxt = null, r = r1, r = null, r1 = null, reachable(r, (H[r].nxt ' + x0).last, H)

Proof step 22 from proof rem-reachable-rev-weak (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information