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Proof step 176 from proof cyclic-pseq (previous step)

st[r2 -- _length] .intval = st1[r1 -- _length] .intval, st[r2 -- _type] = st1[r1 -- _type], is_valid_ref(str, st[r2 -- i '] .refval, st), validrefs(str, (st[r2 -- i '] .refval ' + refs) + r2 ', st1[r1 -- _type] .type .type, st), is_referencevalue(st[r2 -- i ']), i < st1[r1 -- _length] .intval, is_array(str, r1, st1), is_array(str, r2, st), is_arraytype(st1[r1 -- _type] .type), ps=(st[r2 -- i '] .refval, st, st1[r1 -- i '] .refval, st1), 0 < st1[r1 -- _length] .intval, 0 ≤ i, validrefs(str, st[r2 -- i '] .refval ' + refs + r2 ', st[st[r2 -- i '] .refval -- _type] .type, st), ∀ i. ¬ i < 0 ∧ ¬ st1[r1 -- _length] .intval ≤ i ∧ ¬ is_referencevalue(st[r2 -- i ']) → st[r2 -- i '] = st1[r1 -- i '], ∀ st, r, st0, r0, str0. maxpath(str0, r0, st0) < maxpath(str, r1, st1) → (ps=(r, st, r0, st0) ∧ cyclic(str0, r, st) → junkref(str0, r, st) ∨ junkref(str0, r0, st0) ∨ cyclic(str0, r0, st0)) ⊦ r2 = st[r2 -- i '] .refval, r1 = jvmref, r2 = jvmref, validrefs(str, st[r2 -- i '] .refval ' + refs + r2 ' + st[r2 -- i '] .refval ', st[st[r2 -- i '] .refval -- _type] .type, st), r2 ∈ refs, st[r2 -- i '] .refval ∈ refs, dups(refs), junkref(str, r2, st), junkref(str, r1, st1), cyclic(str, r1, st1), type∃(str, st[st[r2 -- i '] .refval -- _type] .type) ∧ st[st[r2 -- i '] .refval -- _type] .type ≤ st1[r1 -- _type] .type .type, st[r2 -- i '] .refval ≠ jvmref ∧ ¬ st[st[r2 -- i '] .refval -- _type] .type ≤ st1[r1 -- _type] .type .type

User applied rule cut formula

And closed the goal!

Rule argument

[fma-arg: st[r2 -- i '] .refval ≠ jvmref]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ type∃ (str, st[r -- _type] .type) ∧ r ≠ jvmref → ¬ is_valid_ref(str, r, st)], [CSIMPSEQ : ⊦ validrefs (str, jvmref ' + refs, ty, st) ↔ refs = []], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRAFMAS : (st[r2 -- i '] .refval ≠ jvmref)]]