[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 3 from proof crash-neutral-add4 (previous step)

fs0 = fs, log0 = log, ro.inodes?, fo.inodes?, log-cons(log, fs), node-cons(nd.key, nd), node-cons(nd0.key, nd0), node-cons(nd1.key, nd1), node-cons(nd2.key, nd2), ri-cons(ri, fs), ri-inj(ri), ri-inj(fi) ⊦ ⟨aubifs_core_journal_add4#(nd, nd0, nd1, nd2, ri, fi, ro, fo; adr, adr0, adr1, adr2, fs, log; boolvar, err)⟩ (boolvar ∧ fs0 = fs ∧ log0 = log)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 4:
adr = adr2, adr0 = adr1, adr5 = adr3, adr6 = adr4, fs0 = fs, log0 = log, nd = nd3, nd0 = nd4, nd1 = nd5, nd2 = nd6, fo.inodes?, ro.inodes?, log-cons(log, fs), node-cons(nd3.key, nd3), node-cons(nd4.key, nd4), node-cons(nd5.key, nd5), node-cons(nd6.key, nd6), ri-cons(ri, fs), ri-inj(fi), ri-inj(ri) ⊦ ⟨if ri-cons(ri, fs) ∧ node-cons(nd2.key, nd2) ∧ node-cons(nd1.key, nd1) ∧ node-cons(nd0.key, nd0) ∧ node-cons(nd.key, nd) then { choose adr1, adr2, adr3, adr4 with new(adr1 ' + adr2 ' + (adr3 ' + adr4), fs) ∧ ¬ dups(adr1 ' + adr2 ' + adr3 ' + adr4 ') in {adr6 := adr1, adr5 := adr2, adr0 := adr3, adr := adr4; fs := fs[adr6, nd2][adr5, nd1][adr0, nd0][adr, nd], log := (((log + adr6) + adr5) + adr0) + adr, err := ESUCCESS} ifnone err := ENOSPC or {fail#(; ; err); adr6 := ?, adr5 := ?, adr0 := ?, adr := ?}; boolvar := ?} else abort⟩ (boolvar ∧ fs0 = fs ∧ log0 = log)

Rule argument

pos: right 1

Additional information

Used simplifier rules: add4: ⊦ ;