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Proof step 13 from proof pathex-addobj (previous step)

¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str, r, addobj(r, class, fis, st)) ∨ ¬ (addobj(r, class, fis, st)[r -- _type]) .type ≤ mkclasstype(class))), fis .keys = instfields(class), validFields(r, fis, addobj(r, class, fis, st)), newref(r, st), validref(str, r, mkclasstype(class), addobj(r, class, fis, st)), fs ' × refval(r0) ∈ fis, fs ' ∈ instfields(class), validrefs(str, r0 ' + refs0, mkclasstype(`java.lang.Object' .class), st), class+∃(str, class) ∧ ¬ is_abstract(class) → validrefs(str, r ' + r0 ' + refs0, mkclasstype(class), addobj(r, class, fis, st)) ⊦ r = jvmref, class = `java.lang.Object' .class, validrefs(str, r ' + r0 ' + refs0, mkclasstype(`java.lang.Object' .class), addobj(r, class, fis, st)), validrefs(str, r ' + r0 ' + refs0, mkclasstype(class), addobj(r, class, fis, st)) ∧ class ≤ `java.lang.Object' .class

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
fis .keys = instfields(class), validFields(r, fis, addobj(r, class, fis, st)), newref(r, st), validref(str, r, mkclasstype(class), addobj(r, class, fis, st)), fs ' × refval(r0) ∈ fis, fs ' ∈ instfields(class), validrefs(str, r0 ' + refs0, mkclasstype(`java.lang.Object' .class), st), is_obj(str, r, addobj(r, class, fis, st)), class+∃(str, class) ∧ ¬ is_abstract(class) → validrefs(str, r ' + r0 ' + refs0, mkclasstype(class), addobj(r, class, fis, st)) ⊦ r = jvmref, class = `java.lang.Object' .class, validrefs(str, r ' + r0 ' + refs0, mkclasstype(`java.lang.Object' .class), addobj(r, class, fis, st)), validrefs(str, r ' + r0 ' + refs0, mkclasstype(class), addobj(r, class, fis, st)) ∧ class ≤ `java.lang.Object' .class

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ class ≤ class], [CSIMPSEQ : ⊦ mkclasstype(class1) ≤ mkclasstype(class2) ↔ class1 ≤ class2], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ¬ _type ∈ fis ⊦ (addobj(r, class1, fis, st) [r -- _type ] ) = typeval(mkclasstype(class1))], [CSIMPSEQ : ⊦ fis .keys = instfields(class) → ¬ _type ∈ fis], [CSIMPSEQ : ⊦ st[r -- _type] .type ≤ mkclasstype(class) ∧ class ≠ `java.lang.Object' .class ∧ r ≠ jvmref → ( is_valid_ref(str, r, st) ↔ is_obj(str, r, st))], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]