/export/starexec/sandbox2/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE We consider the system theBenchmark. We are asked to determine termination of the following first-order TRS. 0 : [] --> o f : [o] --> o g : [o] --> o h : [o * o] --> o s : [o] --> o g(X) => h(X, X) s(X) => h(X, 0) s(X) => h(0, X) f(g(X)) => g(g(f(X))) g(s(X)) => s(s(g(X))) h(f(X), g(X)) => f(s(X)) s(0) => f(0) s(s(0)) => f(s(0)) f(s(0)) => 0 s(s(s(s(s(s(s(0))))))) => f(s(s(0))) f(s(s(0))) => s(s(s(s(s(0))))) f(s(s(X))) => h(f(X), g(h(X, X)))