/export/starexec/sandbox/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- MAYBE We consider the system theBenchmark. We are asked to determine termination of the following first-order TRS. app : [o * o] --> o cons : [] --> o dropWhile : [] --> o if : [] --> o nil : [] --> o takeWhile : [] --> o true : [] --> o app(app(app(if, true), X), Y) => X app(app(app(if, true), X), Y) => Y app(app(takeWhile, X), nil) => nil app(app(takeWhile, X), app(app(cons, Y), Z)) => app(app(app(if, app(X, Y)), app(app(cons, Y), app(app(takeWhile, X), Z))), nil) app(app(dropWhile, X), nil) => nil app(app(dropWhile, X), app(app(cons, Y), Z)) => app(app(app(if, app(X, Y)), app(app(dropWhile, X), Z)), app(app(cons, Y), Z))