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Proof step 11 from proof read-loop-inv (previous step)

buf = mkbuf(VFS_PAGE_SIZE), err = ESUCCESS, inode = mkinode(m, md, boolvar, m0, m1, m2), n0 + n3 < n1, n0 + n3 < m2, read-inv(n0, n1, inode, buf2, buf3, n2, dirs, files), read-inv(n0, n1, inode, buf2, buf1, n3, dirs, files) ⊦ [afs_readpage#(inode, (n0 + n3) / VFS_PAGE_SIZE, dirs, files, asynced; buf, err); n := min(n1 - n0 + n3, VFS_PAGE_SIZE - (n0 + n3) % VFS_PAGE_SIZE, m2 - n0 + n3); if err = ESUCCESS then {buf1 := copy(buf, (n0 + n3) % VFS_PAGE_SIZE, buf1, n3, n); n3 := n3 + n}] read-inv(n0, n1, inode, buf2, buf1, n3, dirs, files), VFS_PAGE_SIZE - (n0 + n3) % VFS_PAGE_SIZE = 0, m2 = n0 + n3, n1 = n0 + n3

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
buf = mkbuf(VFS_PAGE_SIZE), err = ESUCCESS, VFS_PAGE_SIZE - (n0 + n3) % VFS_PAGE_SIZE ≠ 0, m2 ≠ n0 + n3, n1 ≠ n0 + n3, n0 + n3 < n1, n0 + n3 < m2, read-inv(n0, n1, mkinode(m, md, boolvar, m0, m1, m2), buf2, buf3, n2, dirs, files), read-inv(n0, n1, mkinode(m, md, boolvar, m0, m1, m2), buf2, buf1, n3, dirs, files) ⊦ [afs_readpage#(mkinode(m, md, boolvar, m0, m1, m2), (n0 + n3) / VFS_PAGE_SIZE, dirs, files, asynced; buf, err); n := min(n1 - n0 + n3, VFS_PAGE_SIZE - (n0 + n3) % VFS_PAGE_SIZE, m2 - n0 + n3); if err = ESUCCESS then {buf1 := copy(buf, (n0 + n3) % VFS_PAGE_SIZE, buf1, n3, n); n3 := n3 + n}] read-inv(n0, n1, mkinode(m, md, boolvar, m0, m1, m2), buf2, buf1, n3, dirs, files)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic