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Proof step 68 from proof maxpath-object (previous step)

maxpath(str, r, st) = 1 + # refs0, st[r -- fs '] = refval(r0), maxpath(str, r, st) ≤ maxpath(str, r0, st), validrefs(str, r ' + refs0, st[r -- _type] .type, st), fs ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), # refs0 < maxpath(str, r0, st) ⊦ validrefset(str, r, st) = ∅, # validrefset(str, r, st) = 0, has_reffield((r ' + refs0) .last, st), r ∈ refs0, dups(refs0), junkref(str, r, st), cyclic(str, r, st)

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 21:
refs0 = [], maxpath(str, r, st) = 1 + # refs0, st[r -- fs '] = refval(r0), maxpath(str, r, st) ≤ maxpath(str, r0, st), validrefs(str, r ' + refs0, st[r -- _type] .type, st), fs ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), # refs0 < maxpath(str, r0, st) ⊦ validrefset(str, r, st) = ∅, # validrefset(str, r, st) = 0, has_reffield((r ' + refs0) .last, st), r ∈ refs0, dups(refs0), junkref(str, r, st), cyclic(str, r, st)
Proof step 67:
maxpath(str, r, st) = 1 + # refs0, st[r -- fs '] = refval(r0), maxpath(str, r, st) ≤ maxpath(str, r0, st), validrefs(str, r ' + refs0, st[r -- _type] .type, st), fs ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), # refs0 < maxpath(str, r0, st) ⊦ refs0 = [], validrefset(str, r, st) = ∅, # validrefset(str, r, st) = 0, has_reffield((r ' + refs0) .last, st), r ∈ refs0, dups(refs0), junkref(str, r, st), cyclic(str, r, st)

Rule argument

[fma-arg: refs0 = []]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (refs0 = [])]]