The Cyclist Framework and Provers
Cyclist is two things:

A generic, cyclic theorem prover framework. It can be used for constructing theorem provers that employ cyclic proof (usually, in order to treat inductively defined predicates) for practically any logic.

A collection of theorem provers and other tools, with a focus on Separation Logic with inductive definitions, hereafter abbreviated as SL. Checkout the demo for a live demonstration of the
sl_prove
tool.
Cyclist is written in OCaml and C++.
Actively maintained tools in Cyclist

sl_prove
is a prover for entailments in SL. See the demo for a live demonstration. 
sl_satcheck
implements a decision procedure for satisfiability of SL formulas. 
sl_disprove
is a heuristic for disproving entailments in SL. 
sl_modelcheck
decides whether the given SL formula is satisfied by a provided program state. 
while_prove
is termination and/or safety prover for simple whileprograms with pointers and dynamic allocation specified by SL formulas. 
procedure_prove
is a termination and/or safety prover for procedural imperative programs, where procedures are specified with pre and postconditions composed of SL formulas. 
while_abduce
is a prover likewhile_prove
, but which attempts to infer a suitable precondition in SL such that the target program will terminate/execute safely, including inferring the inductive definitions themselves.
No longer maintained tools

fo_prove
: A cyclic prover for (for allexists) first order logic with inductive definitions. 
goto_prove
: A cyclic prover for a program logic like while_prove above, but for a goto language.