/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. 0 : [] --> o cons : [o * o] --> o dbl : [o] --> o dbls : [o] --> o from : [o] --> o indx : [o * o] --> o nil : [] --> o s : [o] --> o sel : [o * o] --> o dbl(0) => 0 dbl(s(X)) => s(s(dbl(X))) dbls(nil) => nil dbls(cons(X, Y)) => cons(dbl(X), dbls(Y)) sel(0, cons(X, Y)) => X sel(s(X), cons(Y, Z)) => sel(X, Z) indx(nil, X) => nil indx(cons(X, Y), Z) => cons(sel(X, Z), indx(Y, Z)) from(X) => cons(X, from(s(X)))