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Proof step 43 from proof rem-stays-reachable-aux1 (previous step)

x0 + H[r].nxt ' = x1 + r ' ∨ (∃ r0, y0. x0 + H[r].nxt ' = (x1 + r ') + r0 ' + y0) ∨ (∃ r0, x2. x1 + r ' = (x0 + H[r].nxt ') + r0 ' + x2), path(H[H[r].nxt].nxt ' + x1 + r ', H), path(H[H[r].nxt].nxt ' + x0 + H[r].nxt ', H), H[r].nxt ∈ H, r ∈ H ⊦ r = H[H[r].nxt].nxt, H[r].nxt = null, H[r].nxt = H[H[r].nxt].nxt, r ∈ x0, H[H[r].nxt].nxt ∈ x1, r ∈ x1, dups(x1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 44:
path(H[H[r].nxt].nxt ' + x1 + r ', H), path(H[H[r].nxt].nxt ' + x0 + H[r].nxt ', H), H[r].nxt ∈ H, r ∈ H, x0 + H[r].nxt ' = x1 + r ' ∨ x0 + H[r].nxt ' = (x1 + r ') + r0 ' + y ∨ x1 + r ' = (x0 + H[r].nxt ') + r1 ' + x ⊦ r = H[H[r].nxt].nxt, H[r].nxt = null, H[r].nxt = H[H[r].nxt].nxt, r ∈ x0, H[H[r].nxt].nxt ∈ x1, r ∈ x1, dups(x1)

Proof step 43 from proof rem-stays-reachable-aux1 (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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