/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. abs : [o] --> o comp : [o * o] --> o cons : [o * o] --> o id : [] --> o one : [] --> o shift : [] --> o comp(X, id) => X cons(one, shift) => id cons(comp(one, X), comp(shift, X)) => X comp(one, cons(X, Y)) => X comp(shift, cons(X, Y)) => Y comp(abs(X), Y) => abs(comp(X, cons(one, comp(Y, shift)))) comp(cons(X, Y), Z) => cons(comp(X, Z), comp(Y, Z)) comp(id, X) => X comp(comp(X, Y), Z) => comp(X, comp(Y, Z))