"Fire melts ice, but is extinguished by wind"
"Ice obstructs wind, but is melted by fire"
"Wind Extinguishes Fire, but is obstructed by Ice."
Direct from the aetherytes
Fire > Ice > Wind > Fire

"Earth grounds lightning, but is eroded by water."
"Lightning boils water, but is grounded by earth"
"Water erodes earth, but is boiled by lightning"
which means
Earth > Lightning > Water > Earth

the most weird one is that Ice beats wind... but go figure