SuperSoap is a major revision of Case SOAP III [Knuth's modifications to SOAP II], designed to take advantage of a 650 with extra attachments. The present SuperSoap program requires index registers, core, a disk file unit, and the table-lookup-on-equal feature.
Note the bolded text. Looking at the available documentation on Bitsavers, we know that the index registers and core come with the IBM 653, and the disk file unit is presumably an IBM 355. But what is this mysterious "TLE"? Appendix I of the SuperSoap manual lists operation codes and mnemonics, assigning TLE to operation code 63. Available 650 documentation that lists instructions says that operation code 63 is unused. It does not seem to have been added when the Model 4 was released (see the last section, beginning on page 33, of this document).