The two accounts here become exceedingly contradictory and confused.
According to the _Homilies_, Simon flees from Tyre to Tripolis, and
thence further to Syria. The main dispute takes place at Laodicaea on the
unity of God (XVI. i). Simon appeals to the _Old Testament_ to show that
there are many gods (XVI. iv); shows that the scriptures contradict
themselves (XVI. ix); accuses Peter of using magic and teaching
doctrines different to those taught by Christ (XVII. ii-iv); asserts
that Jesus is not consistent with himself (XVII. v); that the maker of
the world is not the highest God (XVIII. i); and declares the Ineffable
Deity (XVIII. iv).[70] Peter of course refutes him (XVIII. xii-xiv), and
Simon retires.

The last incident of interest takes place at Antioch. Simon stirs up the
people against Peter by representing him as an impostor. Friends of
Peter set the authorities on Simon's track, and he has to flee. At
Laodicaea he meets Faustinianus (R.), or Faustus (H.), the father of
Clement, who rebukes him (H. XIX. xxiv); and so he changes the face of
Faustinianus into an exact likeness of his own that he may be taken in
his place (H. XX. xii; R.X. liii). Peter sends the transformed
Faustinianus to Antioch, who, in the guise of Simon, makes a confession
of imposture and testifies to the divine mission of Peter. Peter
accordingly enters Antioch in triumph.

The story of Simon in the _Apostolic Constitutions_ is short and taken
from the _Acts_, and to some extent from the Clementines, finishing up,
however, with the mythical death of Simon at Rome, owing to the prayers
of Peter. Simon is here said to be conducted by daemons and to have
flown ([Greek: hiptato]) upwards. The details of this magical feat are
given variously elsewhere.[71]