YES Problem: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Proof: DP Processor: DPs: active#(fst(0(),Z)) -> mark#(nil()) active#(fst(s(X),cons(Y,Z))) -> fst#(X,Z) active#(fst(s(X),cons(Y,Z))) -> cons#(Y,fst(X,Z)) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) active#(from(X)) -> s#(X) active#(from(X)) -> from#(s(X)) active#(from(X)) -> cons#(X,from(s(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) active#(add(0(),X)) -> mark#(X) active#(add(s(X),Y)) -> add#(X,Y) active#(add(s(X),Y)) -> s#(add(X,Y)) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) active#(len(nil())) -> mark#(0()) active#(len(cons(X,Z))) -> len#(Z) active#(len(cons(X,Z))) -> s#(len(Z)) active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(fst(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(0()) -> active#(0()) mark#(nil()) -> active#(nil()) mark#(s(X)) -> active#(s(X)) mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(from(X)) -> mark#(X) mark#(from(X)) -> from#(mark(X)) mark#(from(X)) -> active#(from(mark(X))) mark#(add(X1,X2)) -> mark#(X2) mark#(add(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(len(X)) -> mark#(X) mark#(len(X)) -> len#(mark(X)) mark#(len(X)) -> active#(len(mark(X))) fst#(mark(X1),X2) -> fst#(X1,X2) fst#(X1,mark(X2)) -> fst#(X1,X2) fst#(active(X1),X2) -> fst#(X1,X2) fst#(X1,active(X2)) -> fst#(X1,X2) s#(mark(X)) -> s#(X) s#(active(X)) -> s#(X) cons#(mark(X1),X2) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) from#(mark(X)) -> from#(X) from#(active(X)) -> from#(X) add#(mark(X1),X2) -> add#(X1,X2) add#(X1,mark(X2)) -> add#(X1,X2) add#(active(X1),X2) -> add#(X1,X2) add#(X1,active(X2)) -> add#(X1,X2) len#(mark(X)) -> len#(X) len#(active(X)) -> len#(X) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) TDG Processor: DPs: active#(fst(0(),Z)) -> mark#(nil()) active#(fst(s(X),cons(Y,Z))) -> fst#(X,Z) active#(fst(s(X),cons(Y,Z))) -> cons#(Y,fst(X,Z)) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) active#(from(X)) -> s#(X) active#(from(X)) -> from#(s(X)) active#(from(X)) -> cons#(X,from(s(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) active#(add(0(),X)) -> mark#(X) active#(add(s(X),Y)) -> add#(X,Y) active#(add(s(X),Y)) -> s#(add(X,Y)) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) active#(len(nil())) -> mark#(0()) active#(len(cons(X,Z))) -> len#(Z) active#(len(cons(X,Z))) -> s#(len(Z)) active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(fst(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(0()) -> active#(0()) mark#(nil()) -> active#(nil()) mark#(s(X)) -> active#(s(X)) mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(from(X)) -> mark#(X) mark#(from(X)) -> from#(mark(X)) mark#(from(X)) -> active#(from(mark(X))) mark#(add(X1,X2)) -> mark#(X2) mark#(add(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(len(X)) -> mark#(X) mark#(len(X)) -> len#(mark(X)) mark#(len(X)) -> active#(len(mark(X))) fst#(mark(X1),X2) -> fst#(X1,X2) fst#(X1,mark(X2)) -> fst#(X1,X2) fst#(active(X1),X2) -> fst#(X1,X2) fst#(X1,active(X2)) -> fst#(X1,X2) s#(mark(X)) -> s#(X) s#(active(X)) -> s#(X) cons#(mark(X1),X2) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) from#(mark(X)) -> from#(X) from#(active(X)) -> from#(X) add#(mark(X1),X2) -> add#(X1,X2) add#(X1,mark(X2)) -> add#(X1,X2) add#(active(X1),X2) -> add#(X1,X2) add#(X1,active(X2)) -> add#(X1,X2) len#(mark(X)) -> len#(X) len#(active(X)) -> len#(X) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) graph: len#(mark(X)) -> len#(X) -> len#(active(X)) -> len#(X) len#(mark(X)) -> len#(X) -> len#(mark(X)) -> len#(X) len#(active(X)) -> len#(X) -> len#(active(X)) -> len#(X) len#(active(X)) -> len#(X) -> len#(mark(X)) -> len#(X) add#(mark(X1),X2) -> add#(X1,X2) -> add#(X1,active(X2)) -> add#(X1,X2) add#(mark(X1),X2) -> add#(X1,X2) -> add#(active(X1),X2) -> add#(X1,X2) add#(mark(X1),X2) -> add#(X1,X2) -> add#(X1,mark(X2)) -> add#(X1,X2) add#(mark(X1),X2) -> add#(X1,X2) -> add#(mark(X1),X2) -> add#(X1,X2) add#(active(X1),X2) -> add#(X1,X2) -> add#(X1,active(X2)) -> add#(X1,X2) add#(active(X1),X2) -> add#(X1,X2) -> add#(active(X1),X2) -> add#(X1,X2) add#(active(X1),X2) -> add#(X1,X2) -> add#(X1,mark(X2)) -> add#(X1,X2) add#(active(X1),X2) -> add#(X1,X2) -> add#(mark(X1),X2) -> add#(X1,X2) add#(X1,mark(X2)) -> add#(X1,X2) -> add#(X1,active(X2)) -> add#(X1,X2) add#(X1,mark(X2)) -> add#(X1,X2) -> add#(active(X1),X2) -> add#(X1,X2) add#(X1,mark(X2)) -> add#(X1,X2) -> add#(X1,mark(X2)) -> add#(X1,X2) add#(X1,mark(X2)) -> add#(X1,X2) -> add#(mark(X1),X2) -> add#(X1,X2) add#(X1,active(X2)) -> add#(X1,X2) -> add#(X1,active(X2)) -> add#(X1,X2) add#(X1,active(X2)) -> add#(X1,X2) -> add#(active(X1),X2) -> add#(X1,X2) add#(X1,active(X2)) -> add#(X1,X2) -> add#(X1,mark(X2)) -> add#(X1,X2) add#(X1,active(X2)) -> add#(X1,X2) -> add#(mark(X1),X2) -> add#(X1,X2) from#(mark(X)) -> from#(X) -> from#(active(X)) -> from#(X) from#(mark(X)) -> from#(X) -> from#(mark(X)) -> from#(X) from#(active(X)) -> from#(X) -> from#(active(X)) -> from#(X) from#(active(X)) -> from#(X) -> from#(mark(X)) -> from#(X) s#(mark(X)) -> s#(X) -> s#(active(X)) -> s#(X) s#(mark(X)) -> s#(X) -> s#(mark(X)) -> s#(X) s#(active(X)) -> s#(X) -> s#(active(X)) -> s#(X) s#(active(X)) -> s#(X) -> s#(mark(X)) -> s#(X) cons#(mark(X1),X2) -> cons#(X1,X2) -> cons#(X1,active(X2)) -> cons#(X1,X2) cons#(mark(X1),X2) -> cons#(X1,X2) -> cons#(active(X1),X2) -> cons#(X1,X2) cons#(mark(X1),X2) -> cons#(X1,X2) -> cons#(X1,mark(X2)) -> cons#(X1,X2) cons#(mark(X1),X2) -> cons#(X1,X2) -> cons#(mark(X1),X2) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) -> cons#(X1,active(X2)) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) -> cons#(active(X1),X2) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) -> cons#(X1,mark(X2)) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) -> cons#(mark(X1),X2) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) -> cons#(X1,active(X2)) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) -> cons#(active(X1),X2) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) -> cons#(X1,mark(X2)) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) -> cons#(mark(X1),X2) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) -> cons#(X1,active(X2)) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) -> cons#(active(X1),X2) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) -> cons#(X1,mark(X2)) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) -> cons#(mark(X1),X2) -> cons#(X1,X2) fst#(mark(X1),X2) -> fst#(X1,X2) -> fst#(X1,active(X2)) -> fst#(X1,X2) fst#(mark(X1),X2) -> fst#(X1,X2) -> fst#(active(X1),X2) -> fst#(X1,X2) fst#(mark(X1),X2) -> fst#(X1,X2) -> fst#(X1,mark(X2)) -> fst#(X1,X2) fst#(mark(X1),X2) -> fst#(X1,X2) -> fst#(mark(X1),X2) -> fst#(X1,X2) fst#(active(X1),X2) -> fst#(X1,X2) -> fst#(X1,active(X2)) -> fst#(X1,X2) fst#(active(X1),X2) -> fst#(X1,X2) -> fst#(active(X1),X2) -> fst#(X1,X2) fst#(active(X1),X2) -> fst#(X1,X2) -> fst#(X1,mark(X2)) -> fst#(X1,X2) fst#(active(X1),X2) -> fst#(X1,X2) -> fst#(mark(X1),X2) -> fst#(X1,X2) fst#(X1,mark(X2)) -> fst#(X1,X2) -> fst#(X1,active(X2)) -> fst#(X1,X2) fst#(X1,mark(X2)) -> fst#(X1,X2) -> fst#(active(X1),X2) -> fst#(X1,X2) fst#(X1,mark(X2)) -> fst#(X1,X2) -> fst#(X1,mark(X2)) -> fst#(X1,X2) fst#(X1,mark(X2)) -> fst#(X1,X2) -> fst#(mark(X1),X2) -> fst#(X1,X2) fst#(X1,active(X2)) -> fst#(X1,X2) -> fst#(X1,active(X2)) -> fst#(X1,X2) fst#(X1,active(X2)) -> fst#(X1,X2) -> fst#(active(X1),X2) -> fst#(X1,X2) fst#(X1,active(X2)) -> fst#(X1,X2) -> fst#(X1,mark(X2)) -> fst#(X1,X2) fst#(X1,active(X2)) -> fst#(X1,X2) -> fst#(mark(X1),X2) -> fst#(X1,X2) mark#(len(X)) -> len#(mark(X)) -> len#(active(X)) -> len#(X) mark#(len(X)) -> len#(mark(X)) -> len#(mark(X)) -> len#(X) mark#(len(X)) -> mark#(X) -> mark#(len(X)) -> active#(len(mark(X))) mark#(len(X)) -> mark#(X) -> mark#(len(X)) -> len#(mark(X)) mark#(len(X)) -> mark#(X) -> mark#(len(X)) -> mark#(X) mark#(len(X)) -> mark#(X) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(len(X)) -> mark#(X) -> mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) mark#(len(X)) -> mark#(X) -> mark#(add(X1,X2)) -> mark#(X1) mark#(len(X)) -> mark#(X) -> mark#(add(X1,X2)) -> mark#(X2) mark#(len(X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) mark#(len(X)) -> mark#(X) -> mark#(from(X)) -> from#(mark(X)) mark#(len(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(len(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(len(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(len(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(len(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(X)) mark#(len(X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) mark#(len(X)) -> mark#(X) -> mark#(0()) -> active#(0()) mark#(len(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(len(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) mark#(len(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(len(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(len(X)) -> active#(len(mark(X))) -> active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(len(X)) -> active#(len(mark(X))) -> active#(len(cons(X,Z))) -> s#(len(Z)) mark#(len(X)) -> active#(len(mark(X))) -> active#(len(cons(X,Z))) -> len#(Z) mark#(len(X)) -> active#(len(mark(X))) -> active#(len(nil())) -> mark#(0()) mark#(len(X)) -> active#(len(mark(X))) -> active#(add(s(X),Y)) -> mark#(s(add(X,Y))) mark#(len(X)) -> active#(len(mark(X))) -> active#(add(s(X),Y)) -> s#(add(X,Y)) mark#(len(X)) -> active#(len(mark(X))) -> active#(add(s(X),Y)) -> add#(X,Y) mark#(len(X)) -> active#(len(mark(X))) -> active#(add(0(),X)) -> mark#(X) mark#(len(X)) -> active#(len(mark(X))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(len(X)) -> active#(len(mark(X))) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(len(X)) -> active#(len(mark(X))) -> active#(from(X)) -> from#(s(X)) mark#(len(X)) -> active#(len(mark(X))) -> active#(from(X)) -> s#(X) mark#(len(X)) -> active#(len(mark(X))) -> active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(len(X)) -> active#(len(mark(X))) -> active#(fst(s(X),cons(Y,Z))) -> cons#(Y,fst(X,Z)) mark#(len(X)) -> active#(len(mark(X))) -> active#(fst(s(X),cons(Y,Z))) -> fst#(X,Z) mark#(len(X)) -> active#(len(mark(X))) -> active#(fst(0(),Z)) -> mark#(nil()) mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) -> add#(X1,active(X2)) -> add#(X1,X2) mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) -> add#(active(X1),X2) -> add#(X1,X2) mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) -> add#(X1,mark(X2)) -> add#(X1,X2) mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) -> add#(mark(X1),X2) -> add#(X1,X2) mark#(add(X1,X2)) -> mark#(X2) -> mark#(len(X)) -> active#(len(mark(X))) mark#(add(X1,X2)) -> mark#(X2) -> mark#(len(X)) -> len#(mark(X)) mark#(add(X1,X2)) -> mark#(X2) -> mark#(len(X)) -> mark#(X) mark#(add(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(add(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) mark#(add(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> mark#(X2) mark#(add(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(add(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> from#(mark(X)) mark#(add(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(add(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(add(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(add(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(X)) mark#(add(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(add(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(add(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(add(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) mark#(add(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(add(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> active#(len(mark(X))) mark#(add(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> len#(mark(X)) mark#(add(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> mark#(X) mark#(add(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(add(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) mark#(add(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> mark#(X2) mark#(add(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(add(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> from#(mark(X)) mark#(add(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(add(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(add(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(add(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(X)) mark#(add(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(add(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(add(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(add(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) mark#(add(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(len(cons(X,Z))) -> s#(len(Z)) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(len(cons(X,Z))) -> len#(Z) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(len(nil())) -> mark#(0()) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(add(s(X),Y)) -> mark#(s(add(X,Y))) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(add(s(X),Y)) -> s#(add(X,Y)) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(add(s(X),Y)) -> add#(X,Y) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(add(0(),X)) -> mark#(X) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(from(X)) -> from#(s(X)) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(from(X)) -> s#(X) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(fst(s(X),cons(Y,Z))) -> cons#(Y,fst(X,Z)) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(fst(s(X),cons(Y,Z))) -> fst#(X,Z) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(fst(0(),Z)) -> mark#(nil()) mark#(from(X)) -> from#(mark(X)) -> from#(active(X)) -> from#(X) mark#(from(X)) -> from#(mark(X)) -> from#(mark(X)) -> from#(X) mark#(from(X)) -> mark#(X) -> mark#(len(X)) -> active#(len(mark(X))) mark#(from(X)) -> mark#(X) -> mark#(len(X)) -> len#(mark(X)) mark#(from(X)) -> mark#(X) -> mark#(len(X)) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) mark#(from(X)) -> mark#(X) -> mark#(add(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(add(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) mark#(from(X)) -> mark#(X) -> mark#(from(X)) -> from#(mark(X)) mark#(from(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(from(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(from(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(X)) mark#(from(X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) mark#(from(X)) -> mark#(X) -> mark#(0()) -> active#(0()) mark#(from(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) mark#(from(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(from(X)) -> active#(from(mark(X))) -> active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(from(X)) -> active#(from(mark(X))) -> active#(len(cons(X,Z))) -> s#(len(Z)) mark#(from(X)) -> active#(from(mark(X))) -> active#(len(cons(X,Z))) -> len#(Z) mark#(from(X)) -> active#(from(mark(X))) -> active#(len(nil())) -> mark#(0()) mark#(from(X)) -> active#(from(mark(X))) -> active#(add(s(X),Y)) -> mark#(s(add(X,Y))) mark#(from(X)) -> active#(from(mark(X))) -> active#(add(s(X),Y)) -> s#(add(X,Y)) mark#(from(X)) -> active#(from(mark(X))) -> active#(add(s(X),Y)) -> add#(X,Y) mark#(from(X)) -> active#(from(mark(X))) -> active#(add(0(),X)) -> mark#(X) mark#(from(X)) -> active#(from(mark(X))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(from(X)) -> active#(from(mark(X))) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(from(X)) -> active#(from(mark(X))) -> active#(from(X)) -> from#(s(X)) mark#(from(X)) -> active#(from(mark(X))) -> active#(from(X)) -> s#(X) mark#(from(X)) -> active#(from(mark(X))) -> active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(from(X)) -> active#(from(mark(X))) -> active#(fst(s(X),cons(Y,Z))) -> cons#(Y,fst(X,Z)) mark#(from(X)) -> active#(from(mark(X))) -> active#(fst(s(X),cons(Y,Z))) -> fst#(X,Z) mark#(from(X)) -> active#(from(mark(X))) -> active#(fst(0(),Z)) -> mark#(nil()) mark#(cons(X1,X2)) -> cons#(mark(X1),X2) -> cons#(X1,active(X2)) -> cons#(X1,X2) mark#(cons(X1,X2)) -> cons#(mark(X1),X2) -> cons#(active(X1),X2) -> cons#(X1,X2) mark#(cons(X1,X2)) -> cons#(mark(X1),X2) -> cons#(X1,mark(X2)) -> cons#(X1,X2) mark#(cons(X1,X2)) -> cons#(mark(X1),X2) -> cons#(mark(X1),X2) -> cons#(X1,X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> active#(len(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> len#(mark(X)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> from#(mark(X)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(X)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(len(cons(X,Z))) -> s#(len(Z)) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(len(cons(X,Z))) -> len#(Z) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(len(nil())) -> mark#(0()) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(add(s(X),Y)) -> mark#(s(add(X,Y))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(add(s(X),Y)) -> s#(add(X,Y)) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(add(s(X),Y)) -> add#(X,Y) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(add(0(),X)) -> mark#(X) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(from(X)) -> from#(s(X)) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(from(X)) -> s#(X) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(fst(s(X),cons(Y,Z))) -> cons#(Y,fst(X,Z)) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(fst(s(X),cons(Y,Z))) -> fst#(X,Z) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(fst(0(),Z)) -> mark#(nil()) mark#(s(X)) -> active#(s(X)) -> active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(s(X)) -> active#(s(X)) -> active#(len(cons(X,Z))) -> s#(len(Z)) mark#(s(X)) -> active#(s(X)) -> active#(len(cons(X,Z))) -> len#(Z) mark#(s(X)) -> active#(s(X)) -> active#(len(nil())) -> mark#(0()) mark#(s(X)) -> active#(s(X)) -> active#(add(s(X),Y)) -> mark#(s(add(X,Y))) mark#(s(X)) -> active#(s(X)) -> active#(add(s(X),Y)) -> s#(add(X,Y)) mark#(s(X)) -> active#(s(X)) -> active#(add(s(X),Y)) -> add#(X,Y) mark#(s(X)) -> active#(s(X)) -> active#(add(0(),X)) -> mark#(X) mark#(s(X)) -> active#(s(X)) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(s(X)) -> active#(s(X)) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(s(X)) -> active#(s(X)) -> active#(from(X)) -> from#(s(X)) mark#(s(X)) -> active#(s(X)) -> active#(from(X)) -> s#(X) mark#(s(X)) -> active#(s(X)) -> active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(s(X)) -> active#(s(X)) -> active#(fst(s(X),cons(Y,Z))) -> cons#(Y,fst(X,Z)) mark#(s(X)) -> active#(s(X)) -> active#(fst(s(X),cons(Y,Z))) -> fst#(X,Z) mark#(s(X)) -> active#(s(X)) -> active#(fst(0(),Z)) -> mark#(nil()) mark#(nil()) -> active#(nil()) -> active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(nil()) -> active#(nil()) -> active#(len(cons(X,Z))) -> s#(len(Z)) mark#(nil()) -> active#(nil()) -> active#(len(cons(X,Z))) -> len#(Z) mark#(nil()) -> active#(nil()) -> active#(len(nil())) -> mark#(0()) mark#(nil()) -> active#(nil()) -> active#(add(s(X),Y)) -> mark#(s(add(X,Y))) mark#(nil()) -> active#(nil()) -> active#(add(s(X),Y)) -> s#(add(X,Y)) mark#(nil()) -> active#(nil()) -> active#(add(s(X),Y)) -> add#(X,Y) mark#(nil()) -> active#(nil()) -> active#(add(0(),X)) -> mark#(X) mark#(nil()) -> active#(nil()) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(nil()) -> active#(nil()) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(nil()) -> active#(nil()) -> active#(from(X)) -> from#(s(X)) mark#(nil()) -> active#(nil()) -> active#(from(X)) -> s#(X) mark#(nil()) -> active#(nil()) -> active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(nil()) -> active#(nil()) -> active#(fst(s(X),cons(Y,Z))) -> cons#(Y,fst(X,Z)) mark#(nil()) -> active#(nil()) -> active#(fst(s(X),cons(Y,Z))) -> fst#(X,Z) mark#(nil()) -> active#(nil()) -> active#(fst(0(),Z)) -> mark#(nil()) mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) -> fst#(X1,active(X2)) -> fst#(X1,X2) mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) -> fst#(active(X1),X2) -> fst#(X1,X2) mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) -> fst#(X1,mark(X2)) -> fst#(X1,X2) mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) -> fst#(mark(X1),X2) -> fst#(X1,X2) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(len(X)) -> active#(len(mark(X))) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(len(X)) -> len#(mark(X)) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(len(X)) -> mark#(X) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> from#(mark(X)) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(X)) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> active#(len(mark(X))) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> len#(mark(X)) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> mark#(X) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> from#(mark(X)) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(X)) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(len(cons(X,Z))) -> s#(len(Z)) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(len(cons(X,Z))) -> len#(Z) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(len(nil())) -> mark#(0()) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(add(s(X),Y)) -> mark#(s(add(X,Y))) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(add(s(X),Y)) -> s#(add(X,Y)) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(add(s(X),Y)) -> add#(X,Y) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(add(0(),X)) -> mark#(X) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(from(X)) -> from#(s(X)) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(from(X)) -> s#(X) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(fst(s(X),cons(Y,Z))) -> cons#(Y,fst(X,Z)) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(fst(s(X),cons(Y,Z))) -> fst#(X,Z) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(fst(0(),Z)) -> mark#(nil()) mark#(0()) -> active#(0()) -> active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(0()) -> active#(0()) -> active#(len(cons(X,Z))) -> s#(len(Z)) mark#(0()) -> active#(0()) -> active#(len(cons(X,Z))) -> len#(Z) mark#(0()) -> active#(0()) -> active#(len(nil())) -> mark#(0()) mark#(0()) -> active#(0()) -> active#(add(s(X),Y)) -> mark#(s(add(X,Y))) mark#(0()) -> active#(0()) -> active#(add(s(X),Y)) -> s#(add(X,Y)) mark#(0()) -> active#(0()) -> active#(add(s(X),Y)) -> add#(X,Y) mark#(0()) -> active#(0()) -> active#(add(0(),X)) -> mark#(X) mark#(0()) -> active#(0()) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(0()) -> active#(0()) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(0()) -> active#(0()) -> active#(from(X)) -> from#(s(X)) mark#(0()) -> active#(0()) -> active#(from(X)) -> s#(X) mark#(0()) -> active#(0()) -> active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(0()) -> active#(0()) -> active#(fst(s(X),cons(Y,Z))) -> cons#(Y,fst(X,Z)) mark#(0()) -> active#(0()) -> active#(fst(s(X),cons(Y,Z))) -> fst#(X,Z) mark#(0()) -> active#(0()) -> active#(fst(0(),Z)) -> mark#(nil()) active#(len(cons(X,Z))) -> len#(Z) -> len#(active(X)) -> len#(X) active#(len(cons(X,Z))) -> len#(Z) -> len#(mark(X)) -> len#(X) active#(len(cons(X,Z))) -> s#(len(Z)) -> s#(active(X)) -> s#(X) active#(len(cons(X,Z))) -> s#(len(Z)) -> s#(mark(X)) -> s#(X) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(len(X)) -> active#(len(mark(X))) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(len(X)) -> len#(mark(X)) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(len(X)) -> mark#(X) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(add(X1,X2)) -> mark#(X1) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(add(X1,X2)) -> mark#(X2) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(from(X)) -> active#(from(mark(X))) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(from(X)) -> from#(mark(X)) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(from(X)) -> mark#(X) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(s(X)) -> active#(s(X)) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(nil()) -> active#(nil()) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(0()) -> active#(0()) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(fst(X1,X2)) -> mark#(X1) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(fst(X1,X2)) -> mark#(X2) active#(len(nil())) -> mark#(0()) -> mark#(len(X)) -> active#(len(mark(X))) active#(len(nil())) -> mark#(0()) -> mark#(len(X)) -> len#(mark(X)) active#(len(nil())) -> mark#(0()) -> mark#(len(X)) -> mark#(X) active#(len(nil())) -> mark#(0()) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) active#(len(nil())) -> mark#(0()) -> mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) active#(len(nil())) -> mark#(0()) -> mark#(add(X1,X2)) -> mark#(X1) active#(len(nil())) -> mark#(0()) -> mark#(add(X1,X2)) -> mark#(X2) active#(len(nil())) -> mark#(0()) -> mark#(from(X)) -> active#(from(mark(X))) active#(len(nil())) -> mark#(0()) -> mark#(from(X)) -> from#(mark(X)) active#(len(nil())) -> mark#(0()) -> mark#(from(X)) -> mark#(X) active#(len(nil())) -> mark#(0()) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(len(nil())) -> mark#(0()) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(len(nil())) -> mark#(0()) -> mark#(cons(X1,X2)) -> mark#(X1) active#(len(nil())) -> mark#(0()) -> mark#(s(X)) -> active#(s(X)) active#(len(nil())) -> mark#(0()) -> mark#(nil()) -> active#(nil()) active#(len(nil())) -> mark#(0()) -> mark#(0()) -> active#(0()) active#(len(nil())) -> mark#(0()) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) active#(len(nil())) -> mark#(0()) -> mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) active#(len(nil())) -> mark#(0()) -> mark#(fst(X1,X2)) -> mark#(X1) active#(len(nil())) -> mark#(0()) -> mark#(fst(X1,X2)) -> mark#(X2) active#(add(s(X),Y)) -> add#(X,Y) -> add#(X1,active(X2)) -> add#(X1,X2) active#(add(s(X),Y)) -> add#(X,Y) -> add#(active(X1),X2) -> add#(X1,X2) active#(add(s(X),Y)) -> add#(X,Y) -> add#(X1,mark(X2)) -> add#(X1,X2) active#(add(s(X),Y)) -> add#(X,Y) -> add#(mark(X1),X2) -> add#(X1,X2) active#(add(s(X),Y)) -> s#(add(X,Y)) -> s#(active(X)) -> s#(X) active#(add(s(X),Y)) -> s#(add(X,Y)) -> s#(mark(X)) -> s#(X) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(len(X)) -> active#(len(mark(X))) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(len(X)) -> len#(mark(X)) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(len(X)) -> mark#(X) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(add(X1,X2)) -> mark#(X1) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(add(X1,X2)) -> mark#(X2) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(from(X)) -> active#(from(mark(X))) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(from(X)) -> from#(mark(X)) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(from(X)) -> mark#(X) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(s(X)) -> active#(s(X)) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(nil()) -> active#(nil()) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(0()) -> active#(0()) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(fst(X1,X2)) -> mark#(X1) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(fst(X1,X2)) -> mark#(X2) active#(add(0(),X)) -> mark#(X) -> mark#(len(X)) -> active#(len(mark(X))) active#(add(0(),X)) -> mark#(X) -> mark#(len(X)) -> len#(mark(X)) active#(add(0(),X)) -> mark#(X) -> mark#(len(X)) -> mark#(X) active#(add(0(),X)) -> mark#(X) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) active#(add(0(),X)) -> mark#(X) -> mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) active#(add(0(),X)) -> mark#(X) -> mark#(add(X1,X2)) -> mark#(X1) active#(add(0(),X)) -> mark#(X) -> mark#(add(X1,X2)) -> mark#(X2) active#(add(0(),X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) active#(add(0(),X)) -> mark#(X) -> mark#(from(X)) -> from#(mark(X)) active#(add(0(),X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) active#(add(0(),X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(add(0(),X)) -> mark#(X) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(add(0(),X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) active#(add(0(),X)) -> mark#(X) -> mark#(s(X)) -> active#(s(X)) active#(add(0(),X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) active#(add(0(),X)) -> mark#(X) -> mark#(0()) -> active#(0()) active#(add(0(),X)) -> mark#(X) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) active#(add(0(),X)) -> mark#(X) -> mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) active#(add(0(),X)) -> mark#(X) -> mark#(fst(X1,X2)) -> mark#(X1) active#(add(0(),X)) -> mark#(X) -> mark#(fst(X1,X2)) -> mark#(X2) active#(from(X)) -> from#(s(X)) -> from#(active(X)) -> from#(X) active#(from(X)) -> from#(s(X)) -> from#(mark(X)) -> from#(X) active#(from(X)) -> s#(X) -> s#(active(X)) -> s#(X) active#(from(X)) -> s#(X) -> s#(mark(X)) -> s#(X) active#(from(X)) -> cons#(X,from(s(X))) -> cons#(X1,active(X2)) -> cons#(X1,X2) active#(from(X)) -> cons#(X,from(s(X))) -> cons#(active(X1),X2) -> cons#(X1,X2) active#(from(X)) -> cons#(X,from(s(X))) -> cons#(X1,mark(X2)) -> cons#(X1,X2) active#(from(X)) -> cons#(X,from(s(X))) -> cons#(mark(X1),X2) -> cons#(X1,X2) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(len(X)) -> active#(len(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(len(X)) -> len#(mark(X)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(len(X)) -> mark#(X) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(add(X1,X2)) -> mark#(X1) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(add(X1,X2)) -> mark#(X2) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(from(X)) -> active#(from(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(from(X)) -> from#(mark(X)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(from(X)) -> mark#(X) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(s(X)) -> active#(s(X)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(nil()) -> active#(nil()) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(0()) -> active#(0()) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(fst(X1,X2)) -> mark#(X1) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(fst(X1,X2)) -> mark#(X2) active#(fst(s(X),cons(Y,Z))) -> cons#(Y,fst(X,Z)) -> cons#(X1,active(X2)) -> cons#(X1,X2) active#(fst(s(X),cons(Y,Z))) -> cons#(Y,fst(X,Z)) -> cons#(active(X1),X2) -> cons#(X1,X2) active#(fst(s(X),cons(Y,Z))) -> cons#(Y,fst(X,Z)) -> cons#(X1,mark(X2)) -> cons#(X1,X2) active#(fst(s(X),cons(Y,Z))) -> cons#(Y,fst(X,Z)) -> cons#(mark(X1),X2) -> cons#(X1,X2) active#(fst(s(X),cons(Y,Z))) -> fst#(X,Z) -> fst#(X1,active(X2)) -> fst#(X1,X2) active#(fst(s(X),cons(Y,Z))) -> fst#(X,Z) -> fst#(active(X1),X2) -> fst#(X1,X2) active#(fst(s(X),cons(Y,Z))) -> fst#(X,Z) -> fst#(X1,mark(X2)) -> fst#(X1,X2) active#(fst(s(X),cons(Y,Z))) -> fst#(X,Z) -> fst#(mark(X1),X2) -> fst#(X1,X2) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(len(X)) -> active#(len(mark(X))) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(len(X)) -> len#(mark(X)) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(len(X)) -> mark#(X) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(add(X1,X2)) -> mark#(X1) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(add(X1,X2)) -> mark#(X2) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(from(X)) -> active#(from(mark(X))) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(from(X)) -> from#(mark(X)) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(from(X)) -> mark#(X) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(s(X)) -> active#(s(X)) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(nil()) -> active#(nil()) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(0()) -> active#(0()) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(fst(X1,X2)) -> mark#(X1) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(fst(X1,X2)) -> mark#(X2) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(len(X)) -> active#(len(mark(X))) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(len(X)) -> len#(mark(X)) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(len(X)) -> mark#(X) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(add(X1,X2)) -> add#(mark(X1),mark(X2)) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(add(X1,X2)) -> mark#(X1) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(add(X1,X2)) -> mark#(X2) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(from(X)) -> active#(from(mark(X))) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(from(X)) -> from#(mark(X)) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(from(X)) -> mark#(X) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(cons(X1,X2)) -> mark#(X1) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(s(X)) -> active#(s(X)) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(nil()) -> active#(nil()) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(0()) -> active#(0()) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(fst(X1,X2)) -> fst#(mark(X1),mark(X2)) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(fst(X1,X2)) -> mark#(X1) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(fst(X1,X2)) -> mark#(X2) SCC Processor: #sccs: 7 #rules: 40 #arcs: 510/2916 DPs: mark#(len(X)) -> mark#(X) mark#(fst(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) active#(fst(0(),Z)) -> mark#(nil()) mark#(0()) -> active#(0()) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(nil()) -> active#(nil()) active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(s(X)) -> active#(s(X)) active#(add(0(),X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) mark#(from(X)) -> mark#(X) mark#(from(X)) -> active#(from(mark(X))) active#(len(nil())) -> mark#(0()) mark#(add(X1,X2)) -> mark#(X2) mark#(add(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(len(X)) -> active#(len(mark(X))) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) EDG Processor: DPs: mark#(len(X)) -> mark#(X) mark#(fst(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) active#(fst(0(),Z)) -> mark#(nil()) mark#(0()) -> active#(0()) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(nil()) -> active#(nil()) active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(s(X)) -> active#(s(X)) active#(add(0(),X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) mark#(from(X)) -> mark#(X) mark#(from(X)) -> active#(from(mark(X))) active#(len(nil())) -> mark#(0()) mark#(add(X1,X2)) -> mark#(X2) mark#(add(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(len(X)) -> active#(len(mark(X))) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) graph: mark#(len(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(len(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(len(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(len(X)) -> mark#(X) -> mark#(0()) -> active#(0()) mark#(len(X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) mark#(len(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(X)) mark#(len(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(len(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(len(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(len(X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) mark#(len(X)) -> mark#(X) -> mark#(add(X1,X2)) -> mark#(X2) mark#(len(X)) -> mark#(X) -> mark#(add(X1,X2)) -> mark#(X1) mark#(len(X)) -> mark#(X) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(len(X)) -> mark#(X) -> mark#(len(X)) -> mark#(X) mark#(len(X)) -> mark#(X) -> mark#(len(X)) -> active#(len(mark(X))) mark#(len(X)) -> active#(len(mark(X))) -> active#(fst(0(),Z)) -> mark#(nil()) mark#(len(X)) -> active#(len(mark(X))) -> active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(len(X)) -> active#(len(mark(X))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(len(X)) -> active#(len(mark(X))) -> active#(add(0(),X)) -> mark#(X) mark#(len(X)) -> active#(len(mark(X))) -> active#(add(s(X),Y)) -> mark#(s(add(X,Y))) mark#(len(X)) -> active#(len(mark(X))) -> active#(len(nil())) -> mark#(0()) mark#(len(X)) -> active#(len(mark(X))) -> active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(add(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(add(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(add(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(add(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(add(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(X)) mark#(add(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(add(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(add(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(add(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> mark#(X2) mark#(add(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(add(X1,X2)) -> mark#(X2) -> mark#(len(X)) -> mark#(X) mark#(add(X1,X2)) -> mark#(X2) -> mark#(len(X)) -> active#(len(mark(X))) mark#(add(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(add(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(add(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(add(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(add(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(X)) mark#(add(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(add(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(add(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(add(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> mark#(X2) mark#(add(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(add(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> mark#(X) mark#(add(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> active#(len(mark(X))) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(fst(0(),Z)) -> mark#(nil()) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(add(0(),X)) -> mark#(X) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(add(s(X),Y)) -> mark#(s(add(X,Y))) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(len(nil())) -> mark#(0()) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(from(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(0()) -> active#(0()) mark#(from(X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) mark#(from(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(X)) mark#(from(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(from(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) mark#(from(X)) -> mark#(X) -> mark#(add(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(add(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(len(X)) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(len(X)) -> active#(len(mark(X))) mark#(from(X)) -> active#(from(mark(X))) -> active#(fst(0(),Z)) -> mark#(nil()) mark#(from(X)) -> active#(from(mark(X))) -> active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(from(X)) -> active#(from(mark(X))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(from(X)) -> active#(from(mark(X))) -> active#(add(0(),X)) -> mark#(X) mark#(from(X)) -> active#(from(mark(X))) -> active#(add(s(X),Y)) -> mark#(s(add(X,Y))) mark#(from(X)) -> active#(from(mark(X))) -> active#(len(nil())) -> mark#(0()) mark#(from(X)) -> active#(from(mark(X))) -> active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(X)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> active#(len(mark(X))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(fst(0(),Z)) -> mark#(nil()) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(add(0(),X)) -> mark#(X) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(add(s(X),Y)) -> mark#(s(add(X,Y))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(len(nil())) -> mark#(0()) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(s(X)) -> active#(s(X)) -> active#(fst(0(),Z)) -> mark#(nil()) mark#(s(X)) -> active#(s(X)) -> active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(s(X)) -> active#(s(X)) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(s(X)) -> active#(s(X)) -> active#(add(0(),X)) -> mark#(X) mark#(s(X)) -> active#(s(X)) -> active#(add(s(X),Y)) -> mark#(s(add(X,Y))) mark#(s(X)) -> active#(s(X)) -> active#(len(nil())) -> mark#(0()) mark#(s(X)) -> active#(s(X)) -> active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(X)) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(len(X)) -> mark#(X) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(len(X)) -> active#(len(mark(X))) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(X)) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> mark#(X) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> active#(len(mark(X))) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(fst(0(),Z)) -> mark#(nil()) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(add(0(),X)) -> mark#(X) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(add(s(X),Y)) -> mark#(s(add(X,Y))) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(len(nil())) -> mark#(0()) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(len(cons(X,Z))) -> mark#(s(len(Z))) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(fst(X1,X2)) -> mark#(X2) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(fst(X1,X2)) -> mark#(X1) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(s(X)) -> active#(s(X)) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(from(X)) -> mark#(X) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(from(X)) -> active#(from(mark(X))) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(add(X1,X2)) -> mark#(X2) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(add(X1,X2)) -> mark#(X1) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(len(X)) -> mark#(X) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(len(X)) -> active#(len(mark(X))) active#(len(nil())) -> mark#(0()) -> mark#(0()) -> active#(0()) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(fst(X1,X2)) -> mark#(X2) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(fst(X1,X2)) -> mark#(X1) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(s(X)) -> active#(s(X)) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(from(X)) -> mark#(X) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(from(X)) -> active#(from(mark(X))) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(add(X1,X2)) -> mark#(X2) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(add(X1,X2)) -> mark#(X1) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(len(X)) -> mark#(X) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(len(X)) -> active#(len(mark(X))) active#(add(0(),X)) -> mark#(X) -> mark#(fst(X1,X2)) -> mark#(X2) active#(add(0(),X)) -> mark#(X) -> mark#(fst(X1,X2)) -> mark#(X1) active#(add(0(),X)) -> mark#(X) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) active#(add(0(),X)) -> mark#(X) -> mark#(0()) -> active#(0()) active#(add(0(),X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) active#(add(0(),X)) -> mark#(X) -> mark#(s(X)) -> active#(s(X)) active#(add(0(),X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) active#(add(0(),X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(add(0(),X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) active#(add(0(),X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) active#(add(0(),X)) -> mark#(X) -> mark#(add(X1,X2)) -> mark#(X2) active#(add(0(),X)) -> mark#(X) -> mark#(add(X1,X2)) -> mark#(X1) active#(add(0(),X)) -> mark#(X) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) active#(add(0(),X)) -> mark#(X) -> mark#(len(X)) -> mark#(X) active#(add(0(),X)) -> mark#(X) -> mark#(len(X)) -> active#(len(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(fst(X1,X2)) -> mark#(X2) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(fst(X1,X2)) -> mark#(X1) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(s(X)) -> active#(s(X)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(from(X)) -> mark#(X) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(from(X)) -> active#(from(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(add(X1,X2)) -> mark#(X2) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(add(X1,X2)) -> mark#(X1) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(len(X)) -> mark#(X) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(len(X)) -> active#(len(mark(X))) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(fst(X1,X2)) -> mark#(X2) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(fst(X1,X2)) -> mark#(X1) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(s(X)) -> active#(s(X)) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(from(X)) -> mark#(X) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(from(X)) -> active#(from(mark(X))) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(add(X1,X2)) -> mark#(X2) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(add(X1,X2)) -> mark#(X1) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(len(X)) -> mark#(X) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(len(X)) -> active#(len(mark(X))) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(nil()) -> active#(nil()) CDG Processor: DPs: mark#(len(X)) -> mark#(X) mark#(fst(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) active#(fst(0(),Z)) -> mark#(nil()) mark#(0()) -> active#(0()) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(nil()) -> active#(nil()) active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(s(X)) -> active#(s(X)) active#(add(0(),X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) mark#(from(X)) -> mark#(X) mark#(from(X)) -> active#(from(mark(X))) active#(len(nil())) -> mark#(0()) mark#(add(X1,X2)) -> mark#(X2) mark#(add(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(len(X)) -> active#(len(mark(X))) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) graph: mark#(len(X)) -> mark#(X) -> mark#(len(X)) -> active#(len(mark(X))) mark#(len(X)) -> mark#(X) -> mark#(len(X)) -> mark#(X) mark#(len(X)) -> mark#(X) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(len(X)) -> mark#(X) -> mark#(add(X1,X2)) -> mark#(X1) mark#(len(X)) -> mark#(X) -> mark#(add(X1,X2)) -> mark#(X2) mark#(len(X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) mark#(len(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(len(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(len(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(len(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(X)) mark#(len(X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) mark#(len(X)) -> mark#(X) -> mark#(0()) -> active#(0()) mark#(len(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(len(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(len(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(len(X)) -> active#(len(mark(X))) -> active#(len(cons(X,Z))) -> mark#(s(len(Z))) mark#(len(X)) -> active#(len(mark(X))) -> active#(len(nil())) -> mark#(0()) mark#(add(X1,X2)) -> mark#(X2) -> mark#(len(X)) -> active#(len(mark(X))) mark#(add(X1,X2)) -> mark#(X2) -> mark#(len(X)) -> mark#(X) mark#(add(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(add(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> mark#(X2) mark#(add(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(add(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(add(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(add(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(X)) mark#(add(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(add(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(add(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(add(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(add(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> active#(len(mark(X))) mark#(add(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> mark#(X) mark#(add(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(add(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> mark#(X2) mark#(add(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(add(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(add(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(add(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(X)) mark#(add(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(add(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(add(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(add(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(add(s(X),Y)) -> mark#(s(add(X,Y))) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) -> active#(add(0(),X)) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(len(X)) -> active#(len(mark(X))) mark#(from(X)) -> mark#(X) -> mark#(len(X)) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(add(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(add(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) mark#(from(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(from(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(X)) mark#(from(X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) mark#(from(X)) -> mark#(X) -> mark#(0()) -> active#(0()) mark#(from(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(from(X)) -> active#(from(mark(X))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> active#(len(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(X)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(len(X)) -> active#(len(mark(X))) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(len(X)) -> mark#(X) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(add(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(X)) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> mark#(X2) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> active#(len(mark(X))) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(len(X)) -> mark#(X) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(add(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(X)) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> mark#(X1) -> mark#(fst(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) -> active#(fst(0(),Z)) -> mark#(nil()) active#(len(cons(X,Z))) -> mark#(s(len(Z))) -> mark#(s(X)) -> active#(s(X)) active#(len(nil())) -> mark#(0()) -> mark#(0()) -> active#(0()) active#(add(s(X),Y)) -> mark#(s(add(X,Y))) -> mark#(s(X)) -> active#(s(X)) active#(add(0(),X)) -> mark#(X) -> mark#(len(X)) -> active#(len(mark(X))) active#(add(0(),X)) -> mark#(X) -> mark#(len(X)) -> mark#(X) active#(add(0(),X)) -> mark#(X) -> mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) active#(add(0(),X)) -> mark#(X) -> mark#(add(X1,X2)) -> mark#(X1) active#(add(0(),X)) -> mark#(X) -> mark#(add(X1,X2)) -> mark#(X2) active#(add(0(),X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) active#(add(0(),X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) active#(add(0(),X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(add(0(),X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) active#(add(0(),X)) -> mark#(X) -> mark#(s(X)) -> active#(s(X)) active#(add(0(),X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) active#(add(0(),X)) -> mark#(X) -> mark#(0()) -> active#(0()) active#(add(0(),X)) -> mark#(X) -> mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) active#(add(0(),X)) -> mark#(X) -> mark#(fst(X1,X2)) -> mark#(X1) active#(add(0(),X)) -> mark#(X) -> mark#(fst(X1,X2)) -> mark#(X2) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(fst(0(),Z)) -> mark#(nil()) -> mark#(nil()) -> active#(nil()) SCC Processor: #sccs: 1 #rules: 13 #arcs: 135/484 DPs: mark#(len(X)) -> mark#(X) mark#(fst(X1,X2)) -> mark#(X2) mark#(fst(X1,X2)) -> mark#(X1) mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) active#(fst(s(X),cons(Y,Z))) -> mark#(cons(Y,fst(X,Z))) mark#(cons(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) mark#(from(X)) -> active#(from(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(add(X1,X2)) -> mark#(X2) mark#(add(X1,X2)) -> mark#(X1) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) active#(add(0(),X)) -> mark#(X) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) KBO Processor: argument filtering: pi(0) = [] pi(fst) = [0,1] pi(active) = 0 pi(nil) = [] pi(mark) = 0 pi(s) = [] pi(cons) = 0 pi(from) = 0 pi(add) = [0,1] pi(len) = [0] pi(active#) = 0 pi(mark#) = 0 weight function: w0 = 1 w(len) = w(add) = w(cons) = w(s) = w(nil) = w(active) = w(fst) = w( 0) = 1 w(mark#) = w(active#) = w(from) = w(mark) = 0 precedence: mark# ~ active# ~ len ~ add ~ from ~ cons ~ s ~ mark ~ nil ~ active ~ fst ~ 0 problem: DPs: mark#(fst(X1,X2)) -> active#(fst(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) mark#(from(X)) -> active#(from(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(add(X1,X2)) -> active#(add(mark(X1),mark(X2))) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) SCC Processor: #sccs: 1 #rules: 4 #arcs: 85/36 DPs: mark#(from(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) mark#(from(X)) -> active#(from(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) KBO Processor: argument filtering: pi(0) = [] pi(fst) = [1] pi(active) = 0 pi(nil) = [] pi(mark) = 0 pi(s) = [] pi(cons) = 0 pi(from) = [0] pi(add) = [1] pi(len) = [] pi(active#) = 0 pi(mark#) = 0 weight function: w0 = 1 w(len) = w(s) = w(nil) = w(active) = w(0) = 1 w(mark#) = w(active#) = w(add) = w(from) = w(cons) = w(mark) = w( fst) = 0 precedence: len ~ add ~ from ~ fst > mark# ~ active# ~ cons ~ s ~ mark ~ nil ~ active ~ 0 problem: DPs: mark#(cons(X1,X2)) -> mark#(X1) mark#(from(X)) -> active#(from(mark(X))) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) SCC Processor: #sccs: 1 #rules: 1 #arcs: 8/4 DPs: mark#(cons(X1,X2)) -> mark#(X1) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Subterm Criterion Processor: simple projection: pi(mark#) = 0 problem: DPs: TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Qed DPs: fst#(mark(X1),X2) -> fst#(X1,X2) fst#(X1,mark(X2)) -> fst#(X1,X2) fst#(active(X1),X2) -> fst#(X1,X2) fst#(X1,active(X2)) -> fst#(X1,X2) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Subterm Criterion Processor: simple projection: pi(fst#) = 1 problem: DPs: fst#(mark(X1),X2) -> fst#(X1,X2) fst#(active(X1),X2) -> fst#(X1,X2) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Subterm Criterion Processor: simple projection: pi(fst#) = 0 problem: DPs: TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Qed DPs: cons#(mark(X1),X2) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Subterm Criterion Processor: simple projection: pi(cons#) = 1 problem: DPs: cons#(mark(X1),X2) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Subterm Criterion Processor: simple projection: pi(cons#) = 0 problem: DPs: TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Qed DPs: s#(mark(X)) -> s#(X) s#(active(X)) -> s#(X) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Subterm Criterion Processor: simple projection: pi(s#) = 0 problem: DPs: TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Qed DPs: from#(mark(X)) -> from#(X) from#(active(X)) -> from#(X) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Subterm Criterion Processor: simple projection: pi(from#) = 0 problem: DPs: TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Qed DPs: add#(mark(X1),X2) -> add#(X1,X2) add#(X1,mark(X2)) -> add#(X1,X2) add#(active(X1),X2) -> add#(X1,X2) add#(X1,active(X2)) -> add#(X1,X2) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Subterm Criterion Processor: simple projection: pi(add#) = 1 problem: DPs: add#(mark(X1),X2) -> add#(X1,X2) add#(active(X1),X2) -> add#(X1,X2) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Subterm Criterion Processor: simple projection: pi(add#) = 0 problem: DPs: TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Qed DPs: len#(mark(X)) -> len#(X) len#(active(X)) -> len#(X) TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Subterm Criterion Processor: simple projection: pi(len#) = 0 problem: DPs: TRS: active(fst(0(),Z)) -> mark(nil()) active(fst(s(X),cons(Y,Z))) -> mark(cons(Y,fst(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(add(0(),X)) -> mark(X) active(add(s(X),Y)) -> mark(s(add(X,Y))) active(len(nil())) -> mark(0()) active(len(cons(X,Z))) -> mark(s(len(Z))) mark(fst(X1,X2)) -> active(fst(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(s(X)) -> active(s(X)) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(add(X1,X2)) -> active(add(mark(X1),mark(X2))) mark(len(X)) -> active(len(mark(X))) fst(mark(X1),X2) -> fst(X1,X2) fst(X1,mark(X2)) -> fst(X1,X2) fst(active(X1),X2) -> fst(X1,X2) fst(X1,active(X2)) -> fst(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) add(mark(X1),X2) -> add(X1,X2) add(X1,mark(X2)) -> add(X1,X2) add(active(X1),X2) -> add(X1,X2) add(X1,active(X2)) -> add(X1,X2) len(mark(X)) -> len(X) len(active(X)) -> len(X) Qed