EQUATIONS: 
double_divide(double_divide(identity(),a),double_divide(double_divide(double_divide(b,c),double_divide(identity(),identity())),double_divide(a,c))) =
  b
multiply(a,b) = double_divide(double_divide(b,a),identity())
inverse(a) = double_divide(a,identity())
identity() = double_divide(a,inverse(a))

COMPLETE TRS:
RULES:
inverse(inverse(x)) -> x
multiply(identity(),x) -> x
inverse(multiply(x,y)) -> multiply(inverse(y),inverse(x))
multiply(x,multiply(inverse(x),y)) -> y
multiply(inverse(x),multiply(x,y)) -> y
double_divide(x,y) -> multiply(inverse(x),inverse(y))
multiply(multiply(x,y),z) -> multiply(x,multiply(y,z))
inverse(identity()) -> identity()
multiply(x,identity()) -> x
multiply(inverse(x),x) -> identity()
multiply(x,inverse(x)) -> identity()

SUCCESS
MaxTRS: 3 
Search time: 2.83 seconds