/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 d : [o * o] --> o e : [o] --> o g : [o * o] --> o h : [o * o] --> o s : [o] --> o h(e(X), Y) => h(d(X, Y), s(Y)) d(g(g(0, X), Y), s(Z)) => g(e(X), d(g(g(0, X), Y), Z)) d(g(g(0, X), Y), 0) => e(Y) d(g(0, X), Y) => e(X) d(g(X, Y), Z) => g(d(X, Z), e(Y)) g(e(X), e(Y)) => e(g(X, Y))