/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. a : [] --> o a!6220!6220a : [] --> o a!6220!6220f : [o * o] --> o a!6220!6220g : [o * o] --> o a!6220!6220h : [o] --> o b : [] --> o f : [o * o] --> o g : [o * o] --> o h : [o] --> o mark : [o] --> o a!6220!6220h(X) => a!6220!6220g(mark(X), X) a!6220!6220g(a, X) => a!6220!6220f(b, X) a!6220!6220f(X, X) => a!6220!6220h(a!6220!6220a) a!6220!6220a => b mark(h(X)) => a!6220!6220h(mark(X)) mark(g(X, Y)) => a!6220!6220g(mark(X), Y) mark(a) => a!6220!6220a mark(f(X, Y)) => a!6220!6220f(mark(X), Y) mark(b) => b a!6220!6220h(X) => h(X) a!6220!6220g(X, Y) => g(X, Y) a!6220!6220a => a a!6220!6220f(X, Y) => f(X, Y)