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Proof step 54 from proof junkrefs-put-refval (previous step)

(st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- mkfs(class0, ty2, fieldvar0) ']) = refval(r3), junkrefs(str, r3 ' + refs, ty2, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), is_valid_ref(str, r1, st), is_obj(str, r1, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), st[r1 -- _type] .type ≤ ty, is_obj(r1, st), st[r0 -- _type] .type ≤ ty0, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), mkfs(class0, ty2, fieldvar0) ' ∈ instfields(st[r1 -- _type] .type .class), ∀ str0, ty1, st0, r, r2, fs0. ¬ junkrefs(str0, r3 ' + refs, ty1, st0) ∧ ¬ junkref(str0, r, st0) ∧ is_obj(r2, st0) ∧ st0[r -- _type] .type ≤ fs0 .type ∧ r ≠ jvmref ∧ fs0 ' ∈ instfields(st0[r2 -- _type] .type .class) → ¬ junkrefs(str0, r3 ' + refs, ty1, st0[r2 -- fs0 ', refval(r)]) ⊦ r1 = jvmref, r0 = jvmref, _type = mkfs(class, ty0, fieldvar) ', junkrefs(str, r1 ' + r3 ' + refs, ty, st), junkref(str, r0, st)

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 37:
r1 -- mkfs(class0, ty2, fieldvar0) ' = r1 -- mkfs(class, ty0, fieldvar) ', (st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- mkfs(class0, ty2, fieldvar0) ']) = refval(r3), junkrefs(str, r3 ' + refs, ty2, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), is_valid_ref(str, r1, st), is_obj(str, r1, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), st[r1 -- _type] .type ≤ ty, is_obj(r1, st), st[r0 -- _type] .type ≤ ty0, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), mkfs(class0, ty2, fieldvar0) ' ∈ instfields(st[r1 -- _type] .type .class), ∀ str0, ty1, st0, r, r2, fs0. ¬ junkrefs(str0, r3 ' + refs, ty1, st0) ∧ ¬ junkref(str0, r, st0) ∧ is_obj(r2, st0) ∧ st0[r -- _type] .type ≤ fs0 .type ∧ r ≠ jvmref ∧ fs0 ' ∈ instfields(st0[r2 -- _type] .type .class) → ¬ junkrefs(str0, r3 ' + refs, ty1, st0[r2 -- fs0 ', refval(r)]) ⊦ r1 = jvmref, r0 = jvmref, _type = mkfs(class, ty0, fieldvar) ', junkrefs(str, r1 ' + r3 ' + refs, ty, st), junkref(str, r0, st)
Proof step 53:
(st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)][r1 -- mkfs(class0, ty2, fieldvar0) ']) = refval(r3), junkrefs(str, r3 ' + refs, ty2, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), is_valid_ref(str, r1, st), is_obj(str, r1, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), st[r1 -- _type] .type ≤ ty, is_obj(r1, st), st[r0 -- _type] .type ≤ ty0, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), mkfs(class0, ty2, fieldvar0) ' ∈ instfields(st[r1 -- _type] .type .class), ∀ str0, ty1, st0, r, r2, fs0. ¬ junkrefs(str0, r3 ' + refs, ty1, st0) ∧ ¬ junkref(str0, r, st0) ∧ is_obj(r2, st0) ∧ st0[r -- _type] .type ≤ fs0 .type ∧ r ≠ jvmref ∧ fs0 ' ∈ instfields(st0[r2 -- _type] .type .class) → ¬ junkrefs(str0, r3 ' + refs, ty1, st0[r2 -- fs0 ', refval(r)]) ⊦ r1 -- mkfs(class0, ty2, fieldvar0) ' = r1 -- mkfs(class, ty0, fieldvar) ', r1 = jvmref, r0 = jvmref, _type = mkfs(class, ty0, fieldvar) ', junkrefs(str, r1 ' + r3 ' + refs, ty, st), junkref(str, r0, st)

Rule argument

[fma-arg: r1 -- mkfs(class0, ty2, fieldvar0) ' = r1 -- mkfs(class, ty0, fieldvar) ' ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : ( r1 -- mkfs(class0, ty2, fieldvar0) ' = r1 -- mkfs(class, ty0, fieldvar) ')]]