MAYBE Time: 0.062378 TRS: { cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), from mark X -> mark from X, from ok X -> ok from X, s mark X -> mark s X, s ok X -> ok s X, active cons(X1, X2) -> cons(active X1, X2), active from X -> mark cons(X, from s X), active from X -> from active X, active s X -> s active X, active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active sel(s N, cons(X, XS)) -> mark sel(N, XS), active sel(0(), cons(X, XS)) -> mark X, active minus(X, 0()) -> mark 0(), active minus(X1, X2) -> minus(X1, active X2), active minus(X1, X2) -> minus(active X1, X2), active minus(s X, s Y) -> mark minus(X, Y), active quot(X1, X2) -> quot(X1, active X2), active quot(X1, X2) -> quot(active X1, X2), active quot(s X, s Y) -> mark s quot(minus(X, Y), s Y), active quot(0(), s Y) -> mark 0(), active zWquot(XS, nil()) -> mark nil(), active zWquot(X1, X2) -> zWquot(X1, active X2), active zWquot(X1, X2) -> zWquot(active X1, X2), active zWquot(cons(X, XS), cons(Y, YS)) -> mark cons(quot(X, Y), zWquot(XS, YS)), active zWquot(nil(), XS) -> mark nil(), sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), minus(X1, mark X2) -> mark minus(X1, X2), minus(mark X1, X2) -> mark minus(X1, X2), minus(ok X1, ok X2) -> ok minus(X1, X2), quot(X1, mark X2) -> mark quot(X1, X2), quot(mark X1, X2) -> mark quot(X1, X2), quot(ok X1, ok X2) -> ok quot(X1, X2), zWquot(X1, mark X2) -> mark zWquot(X1, X2), zWquot(mark X1, X2) -> mark zWquot(X1, X2), zWquot(ok X1, ok X2) -> ok zWquot(X1, X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper from X -> from proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper 0() -> ok 0(), proper minus(X1, X2) -> minus(proper X1, proper X2), proper quot(X1, X2) -> quot(proper X1, proper X2), proper nil() -> ok nil(), proper zWquot(X1, X2) -> zWquot(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} DP: DP: { cons#(mark X1, X2) -> cons#(X1, X2), cons#(ok X1, ok X2) -> cons#(X1, X2), from# mark X -> from# X, from# ok X -> from# X, s# mark X -> s# X, s# ok X -> s# X, active# cons(X1, X2) -> cons#(active X1, X2), active# cons(X1, X2) -> active# X1, active# from X -> cons#(X, from s X), active# from X -> from# s X, active# from X -> from# active X, active# from X -> s# X, active# from X -> active# X, active# s X -> s# active X, active# s X -> active# X, active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(X1, active X2), active# sel(X1, X2) -> sel#(active X1, X2), active# sel(s N, cons(X, XS)) -> sel#(N, XS), active# minus(X1, X2) -> active# X1, active# minus(X1, X2) -> active# X2, active# minus(X1, X2) -> minus#(X1, active X2), active# minus(X1, X2) -> minus#(active X1, X2), active# minus(s X, s Y) -> minus#(X, Y), active# quot(X1, X2) -> active# X1, active# quot(X1, X2) -> active# X2, active# quot(X1, X2) -> quot#(X1, active X2), active# quot(X1, X2) -> quot#(active X1, X2), active# quot(s X, s Y) -> s# quot(minus(X, Y), s Y), active# quot(s X, s Y) -> minus#(X, Y), active# quot(s X, s Y) -> quot#(minus(X, Y), s Y), active# zWquot(X1, X2) -> active# X1, active# zWquot(X1, X2) -> active# X2, active# zWquot(X1, X2) -> zWquot#(X1, active X2), active# zWquot(X1, X2) -> zWquot#(active X1, X2), active# zWquot(cons(X, XS), cons(Y, YS)) -> cons#(quot(X, Y), zWquot(XS, YS)), active# zWquot(cons(X, XS), cons(Y, YS)) -> quot#(X, Y), active# zWquot(cons(X, XS), cons(Y, YS)) -> zWquot#(XS, YS), sel#(X1, mark X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2), sel#(ok X1, ok X2) -> sel#(X1, X2), minus#(X1, mark X2) -> minus#(X1, X2), minus#(mark X1, X2) -> minus#(X1, X2), minus#(ok X1, ok X2) -> minus#(X1, X2), quot#(X1, mark X2) -> quot#(X1, X2), quot#(mark X1, X2) -> quot#(X1, X2), quot#(ok X1, ok X2) -> quot#(X1, X2), zWquot#(X1, mark X2) -> zWquot#(X1, X2), zWquot#(mark X1, X2) -> zWquot#(X1, X2), zWquot#(ok X1, ok X2) -> zWquot#(X1, X2), proper# cons(X1, X2) -> cons#(proper X1, proper X2), proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2, proper# from X -> from# proper X, proper# from X -> proper# X, proper# s X -> s# proper X, proper# s X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2), proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2, proper# minus(X1, X2) -> minus#(proper X1, proper X2), proper# minus(X1, X2) -> proper# X1, proper# minus(X1, X2) -> proper# X2, proper# quot(X1, X2) -> quot#(proper X1, proper X2), proper# quot(X1, X2) -> proper# X1, proper# quot(X1, X2) -> proper# X2, proper# zWquot(X1, X2) -> zWquot#(proper X1, proper X2), proper# zWquot(X1, X2) -> proper# X1, proper# zWquot(X1, X2) -> proper# X2, top# mark X -> proper# X, top# mark X -> top# proper X, top# ok X -> active# X, top# ok X -> top# active X} TRS: { cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), from mark X -> mark from X, from ok X -> ok from X, s mark X -> mark s X, s ok X -> ok s X, active cons(X1, X2) -> cons(active X1, X2), active from X -> mark cons(X, from s X), active from X -> from active X, active s X -> s active X, active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active sel(s N, cons(X, XS)) -> mark sel(N, XS), active sel(0(), cons(X, XS)) -> mark X, active minus(X, 0()) -> mark 0(), active minus(X1, X2) -> minus(X1, active X2), active minus(X1, X2) -> minus(active X1, X2), active minus(s X, s Y) -> mark minus(X, Y), active quot(X1, X2) -> quot(X1, active X2), active quot(X1, X2) -> quot(active X1, X2), active quot(s X, s Y) -> mark s quot(minus(X, Y), s Y), active quot(0(), s Y) -> mark 0(), active zWquot(XS, nil()) -> mark nil(), active zWquot(X1, X2) -> zWquot(X1, active X2), active zWquot(X1, X2) -> zWquot(active X1, X2), active zWquot(cons(X, XS), cons(Y, YS)) -> mark cons(quot(X, Y), zWquot(XS, YS)), active zWquot(nil(), XS) -> mark nil(), sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), minus(X1, mark X2) -> mark minus(X1, X2), minus(mark X1, X2) -> mark minus(X1, X2), minus(ok X1, ok X2) -> ok minus(X1, X2), quot(X1, mark X2) -> mark quot(X1, X2), quot(mark X1, X2) -> mark quot(X1, X2), quot(ok X1, ok X2) -> ok quot(X1, X2), zWquot(X1, mark X2) -> mark zWquot(X1, X2), zWquot(mark X1, X2) -> mark zWquot(X1, X2), zWquot(ok X1, ok X2) -> ok zWquot(X1, X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper from X -> from proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper 0() -> ok 0(), proper minus(X1, X2) -> minus(proper X1, proper X2), proper quot(X1, X2) -> quot(proper X1, proper X2), proper nil() -> ok nil(), proper zWquot(X1, X2) -> zWquot(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} EDG: { (active# quot(s X, s Y) -> minus#(X, Y), minus#(ok X1, ok X2) -> minus#(X1, X2)) (active# quot(s X, s Y) -> minus#(X, Y), minus#(mark X1, X2) -> minus#(X1, X2)) (active# quot(s X, s Y) -> minus#(X, Y), minus#(X1, mark X2) -> minus#(X1, X2)) (active# from X -> from# s X, from# ok X -> from# X) (active# from X -> from# s X, from# mark X -> from# X) (active# s X -> s# active X, s# ok X -> s# X) (active# s X -> s# active X, s# mark X -> s# X) (proper# s X -> s# proper X, s# ok X -> s# X) (proper# s X -> s# proper X, s# mark X -> s# X) (top# ok X -> top# active X, top# ok X -> top# active X) (top# ok X -> top# active X, top# ok X -> active# X) (top# ok X -> top# active X, top# mark X -> top# proper X) (top# ok X -> top# active X, top# mark X -> proper# X) (active# zWquot(cons(X, XS), cons(Y, YS)) -> cons#(quot(X, Y), zWquot(XS, YS)), cons#(ok X1, ok X2) -> cons#(X1, X2)) (active# zWquot(cons(X, XS), cons(Y, YS)) -> cons#(quot(X, Y), zWquot(XS, YS)), cons#(mark X1, X2) -> cons#(X1, X2)) (active# minus(X1, X2) -> active# X2, active# zWquot(cons(X, XS), cons(Y, YS)) -> zWquot#(XS, YS)) (active# minus(X1, X2) -> active# X2, active# zWquot(cons(X, XS), cons(Y, YS)) -> quot#(X, Y)) (active# minus(X1, X2) -> active# X2, active# zWquot(cons(X, XS), cons(Y, YS)) -> cons#(quot(X, Y), zWquot(XS, YS))) (active# minus(X1, X2) -> active# X2, active# zWquot(X1, X2) -> zWquot#(active X1, X2)) (active# minus(X1, X2) -> active# X2, active# zWquot(X1, X2) -> zWquot#(X1, active X2)) (active# minus(X1, X2) -> active# X2, active# zWquot(X1, X2) -> active# X2) (active# minus(X1, X2) -> active# X2, active# zWquot(X1, X2) -> active# X1) (active# minus(X1, X2) -> active# X2, active# quot(s X, s Y) -> quot#(minus(X, Y), s Y)) (active# minus(X1, X2) -> active# X2, active# quot(s X, s Y) -> minus#(X, Y)) (active# minus(X1, X2) -> active# X2, active# quot(s X, s Y) -> s# quot(minus(X, Y), s Y)) (active# minus(X1, X2) -> active# X2, active# quot(X1, X2) -> quot#(active X1, X2)) (active# minus(X1, X2) -> active# X2, active# quot(X1, X2) -> quot#(X1, active X2)) (active# minus(X1, X2) -> active# X2, active# quot(X1, X2) -> active# X2) (active# minus(X1, X2) -> active# X2, active# quot(X1, X2) -> active# X1) (active# minus(X1, X2) -> active# X2, active# minus(s X, s Y) -> minus#(X, Y)) (active# minus(X1, X2) -> active# X2, active# minus(X1, X2) -> minus#(active X1, X2)) (active# minus(X1, X2) -> active# X2, active# minus(X1, X2) -> minus#(X1, active X2)) (active# minus(X1, X2) -> active# X2, active# minus(X1, X2) -> active# X2) (active# minus(X1, X2) -> active# X2, active# minus(X1, X2) -> active# X1) (active# minus(X1, X2) -> active# X2, active# sel(s N, cons(X, XS)) -> sel#(N, XS)) (active# minus(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(active X1, X2)) (active# minus(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(X1, active X2)) (active# minus(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X2) (active# minus(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X1) (active# minus(X1, X2) -> active# X2, active# s X -> active# X) (active# minus(X1, X2) -> active# X2, active# s X -> s# active X) (active# minus(X1, X2) -> active# X2, active# from X -> active# X) (active# minus(X1, X2) -> active# X2, active# from X -> s# X) (active# minus(X1, X2) -> active# X2, active# from X -> from# active X) (active# minus(X1, X2) -> active# X2, active# from X -> from# s X) (active# minus(X1, X2) -> active# X2, active# from X -> cons#(X, from s X)) (active# minus(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1) (active# minus(X1, X2) -> active# X2, active# cons(X1, X2) -> cons#(active X1, X2)) (active# zWquot(X1, X2) -> active# X2, active# zWquot(cons(X, XS), cons(Y, YS)) -> zWquot#(XS, YS)) (active# zWquot(X1, X2) -> active# X2, active# zWquot(cons(X, XS), cons(Y, YS)) -> quot#(X, Y)) (active# zWquot(X1, X2) -> active# X2, active# zWquot(cons(X, XS), cons(Y, YS)) -> cons#(quot(X, Y), zWquot(XS, YS))) (active# zWquot(X1, X2) -> active# X2, active# zWquot(X1, X2) -> zWquot#(active X1, X2)) (active# zWquot(X1, X2) -> active# X2, active# zWquot(X1, X2) -> zWquot#(X1, active X2)) (active# zWquot(X1, X2) -> active# X2, active# zWquot(X1, X2) -> active# X2) (active# zWquot(X1, X2) -> active# X2, active# zWquot(X1, X2) -> active# X1) (active# zWquot(X1, X2) -> active# X2, active# quot(s X, s Y) -> quot#(minus(X, Y), s Y)) (active# zWquot(X1, X2) -> active# X2, active# quot(s X, s Y) -> minus#(X, Y)) (active# zWquot(X1, X2) -> active# X2, active# quot(s X, s Y) -> s# quot(minus(X, Y), s Y)) (active# zWquot(X1, X2) -> active# X2, active# quot(X1, X2) -> quot#(active X1, X2)) (active# zWquot(X1, X2) -> active# X2, active# quot(X1, X2) -> quot#(X1, active X2)) (active# zWquot(X1, X2) -> active# X2, active# quot(X1, X2) -> active# X2) (active# zWquot(X1, X2) -> active# X2, active# quot(X1, X2) -> active# X1) (active# zWquot(X1, X2) -> active# X2, active# minus(s X, s Y) -> minus#(X, Y)) (active# zWquot(X1, X2) -> active# X2, active# minus(X1, X2) -> minus#(active X1, X2)) (active# zWquot(X1, X2) -> active# X2, active# minus(X1, X2) -> minus#(X1, active X2)) (active# zWquot(X1, X2) -> active# X2, active# minus(X1, X2) -> active# X2) (active# zWquot(X1, X2) -> active# X2, active# minus(X1, X2) -> active# X1) (active# zWquot(X1, X2) -> active# X2, active# sel(s N, cons(X, XS)) -> sel#(N, XS)) (active# zWquot(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(active X1, X2)) (active# zWquot(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(X1, active X2)) (active# zWquot(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X2) (active# zWquot(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X1) (active# zWquot(X1, X2) -> active# X2, active# s X -> active# X) (active# zWquot(X1, X2) -> active# X2, active# s X -> s# active X) (active# zWquot(X1, X2) -> active# X2, active# from X -> active# X) (active# zWquot(X1, X2) -> active# X2, active# from X -> s# X) (active# zWquot(X1, X2) -> active# X2, active# from X -> from# active X) (active# zWquot(X1, X2) -> active# X2, active# from X -> from# s X) (active# zWquot(X1, X2) -> active# X2, active# from X -> cons#(X, from s X)) (active# zWquot(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1) (active# zWquot(X1, X2) -> active# X2, active# cons(X1, X2) -> cons#(active X1, X2)) (proper# sel(X1, X2) -> proper# X2, proper# zWquot(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# zWquot(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# zWquot(X1, X2) -> zWquot#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# quot(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# quot(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# quot(X1, X2) -> quot#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# minus(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# minus(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# minus(X1, X2) -> minus#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# sel(X1, X2) -> proper# X2, proper# from X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# from X -> from# proper X) (proper# sel(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# quot(X1, X2) -> proper# X2, proper# zWquot(X1, X2) -> proper# X2) (proper# quot(X1, X2) -> proper# X2, proper# zWquot(X1, X2) -> proper# X1) (proper# quot(X1, X2) -> proper# X2, proper# zWquot(X1, X2) -> zWquot#(proper X1, proper X2)) (proper# quot(X1, X2) -> proper# X2, proper# quot(X1, X2) -> proper# X2) (proper# quot(X1, X2) -> proper# X2, proper# quot(X1, X2) -> proper# X1) (proper# quot(X1, X2) -> proper# X2, proper# quot(X1, X2) -> quot#(proper X1, proper X2)) (proper# quot(X1, X2) -> proper# X2, proper# minus(X1, X2) -> proper# X2) (proper# quot(X1, X2) -> proper# X2, proper# minus(X1, X2) -> proper# X1) (proper# quot(X1, X2) -> proper# X2, proper# minus(X1, X2) -> minus#(proper X1, proper X2)) (proper# quot(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# quot(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# quot(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# quot(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# quot(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# quot(X1, X2) -> proper# X2, proper# from X -> proper# X) (proper# quot(X1, X2) -> proper# X2, proper# from X -> from# proper X) (proper# quot(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# quot(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# quot(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (active# cons(X1, X2) -> cons#(active X1, X2), cons#(ok X1, ok X2) -> cons#(X1, X2)) (active# cons(X1, X2) -> cons#(active X1, X2), cons#(mark X1, X2) -> cons#(X1, X2)) (active# minus(X1, X2) -> minus#(active X1, X2), minus#(ok X1, ok X2) -> minus#(X1, X2)) (active# minus(X1, X2) -> minus#(active X1, X2), minus#(mark X1, X2) -> minus#(X1, X2)) (active# minus(X1, X2) -> minus#(active X1, X2), minus#(X1, mark X2) -> minus#(X1, X2)) (active# zWquot(X1, X2) -> zWquot#(active X1, X2), zWquot#(ok X1, ok X2) -> zWquot#(X1, X2)) (active# zWquot(X1, X2) -> zWquot#(active X1, X2), zWquot#(mark X1, X2) -> zWquot#(X1, X2)) (active# zWquot(X1, X2) -> zWquot#(active X1, X2), zWquot#(X1, mark X2) -> zWquot#(X1, X2)) (active# sel(X1, X2) -> sel#(X1, active X2), sel#(ok X1, ok X2) -> sel#(X1, X2)) (active# sel(X1, X2) -> sel#(X1, active X2), sel#(mark X1, X2) -> sel#(X1, X2)) (active# sel(X1, X2) -> sel#(X1, active X2), sel#(X1, mark X2) -> sel#(X1, X2)) (active# quot(X1, X2) -> quot#(X1, active X2), quot#(ok X1, ok X2) -> quot#(X1, X2)) (active# quot(X1, X2) -> quot#(X1, active X2), quot#(mark X1, X2) -> quot#(X1, X2)) (active# quot(X1, X2) -> quot#(X1, active X2), quot#(X1, mark X2) -> quot#(X1, X2)) (active# zWquot(X1, X2) -> zWquot#(X1, active X2), zWquot#(ok X1, ok X2) -> zWquot#(X1, X2)) (active# zWquot(X1, X2) -> zWquot#(X1, active X2), zWquot#(mark X1, X2) -> zWquot#(X1, X2)) (active# zWquot(X1, X2) -> zWquot#(X1, active X2), zWquot#(X1, mark X2) -> zWquot#(X1, X2)) (proper# sel(X1, X2) -> sel#(proper X1, proper X2), sel#(ok X1, ok X2) -> sel#(X1, X2)) (proper# sel(X1, X2) -> sel#(proper X1, proper X2), sel#(mark X1, X2) -> sel#(X1, X2)) (proper# sel(X1, X2) -> sel#(proper X1, proper X2), sel#(X1, mark X2) -> sel#(X1, X2)) (proper# quot(X1, X2) -> quot#(proper X1, proper X2), quot#(ok X1, ok X2) -> quot#(X1, X2)) (proper# quot(X1, X2) -> quot#(proper X1, proper X2), quot#(mark X1, X2) -> quot#(X1, X2)) (proper# quot(X1, X2) -> quot#(proper X1, proper X2), quot#(X1, mark X2) -> quot#(X1, X2)) (cons#(mark X1, X2) -> cons#(X1, X2), cons#(ok X1, ok X2) -> cons#(X1, X2)) (cons#(mark X1, X2) -> cons#(X1, X2), cons#(mark X1, X2) -> cons#(X1, X2)) (sel#(X1, mark X2) -> sel#(X1, X2), sel#(ok X1, ok X2) -> sel#(X1, X2)) (sel#(X1, mark X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2)) (sel#(X1, mark X2) -> sel#(X1, X2), sel#(X1, mark X2) -> sel#(X1, X2)) (sel#(ok X1, ok X2) -> sel#(X1, X2), sel#(ok X1, ok X2) -> sel#(X1, X2)) (sel#(ok X1, ok X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2)) (sel#(ok X1, ok X2) -> sel#(X1, X2), sel#(X1, mark X2) -> sel#(X1, X2)) (minus#(mark X1, X2) -> minus#(X1, X2), minus#(ok X1, ok X2) -> minus#(X1, X2)) (minus#(mark X1, X2) -> minus#(X1, X2), minus#(mark X1, X2) -> minus#(X1, X2)) (minus#(mark X1, X2) -> minus#(X1, X2), minus#(X1, mark X2) -> minus#(X1, X2)) (quot#(X1, mark X2) -> quot#(X1, X2), quot#(ok X1, ok X2) -> quot#(X1, X2)) (quot#(X1, mark X2) -> quot#(X1, X2), quot#(mark X1, X2) -> quot#(X1, X2)) (quot#(X1, mark X2) -> quot#(X1, X2), quot#(X1, mark X2) -> quot#(X1, X2)) (quot#(ok X1, ok X2) -> quot#(X1, X2), quot#(ok X1, ok X2) -> quot#(X1, X2)) (quot#(ok X1, ok X2) -> quot#(X1, X2), quot#(mark X1, X2) -> quot#(X1, X2)) (quot#(ok X1, ok X2) -> quot#(X1, X2), quot#(X1, mark X2) -> quot#(X1, X2)) (zWquot#(mark X1, X2) -> zWquot#(X1, X2), zWquot#(ok X1, ok X2) -> zWquot#(X1, X2)) (zWquot#(mark X1, X2) -> zWquot#(X1, X2), zWquot#(mark X1, X2) -> zWquot#(X1, X2)) (zWquot#(mark X1, X2) -> zWquot#(X1, X2), zWquot#(X1, mark X2) -> zWquot#(X1, X2)) (from# mark X -> from# X, from# ok X -> from# X) (from# mark X -> from# X, from# mark X -> from# X) (s# mark X -> s# X, s# ok X -> s# X) (s# mark X -> s# X, s# mark X -> s# X) (active# from X -> s# X, s# ok X -> s# X) (active# from X -> s# X, s# mark X -> s# X) (active# s X -> active# X, active# zWquot(cons(X, XS), cons(Y, YS)) -> zWquot#(XS, YS)) (active# s X -> active# X, active# zWquot(cons(X, XS), cons(Y, YS)) -> quot#(X, Y)) (active# s X -> active# X, active# zWquot(cons(X, XS), cons(Y, YS)) -> cons#(quot(X, Y), zWquot(XS, YS))) (active# s X -> active# X, active# zWquot(X1, X2) -> zWquot#(active X1, X2)) (active# s X -> active# X, active# zWquot(X1, X2) -> zWquot#(X1, active X2)) (active# s X -> active# X, active# zWquot(X1, X2) -> active# X2) (active# s X -> active# X, active# zWquot(X1, X2) -> active# X1) (active# s X -> active# X, active# quot(s X, s Y) -> quot#(minus(X, Y), s Y)) (active# s X -> active# X, active# quot(s X, s Y) -> minus#(X, Y)) (active# s X -> active# X, active# quot(s X, s Y) -> s# quot(minus(X, Y), s Y)) (active# s X -> active# X, active# quot(X1, X2) -> quot#(active X1, X2)) (active# s X -> active# X, active# quot(X1, X2) -> quot#(X1, active X2)) (active# s X -> active# X, active# quot(X1, X2) -> active# X2) (active# s X -> active# X, active# quot(X1, X2) -> active# X1) (active# s X -> active# X, active# minus(s X, s Y) -> minus#(X, Y)) (active# s X -> active# X, active# minus(X1, X2) -> minus#(active X1, X2)) (active# s X -> active# X, active# minus(X1, X2) -> minus#(X1, active X2)) (active# s X -> active# X, active# minus(X1, X2) -> active# X2) (active# s X -> active# X, active# minus(X1, X2) -> active# X1) (active# s X -> active# X, active# sel(s N, cons(X, XS)) -> sel#(N, XS)) (active# s X -> active# X, active# sel(X1, X2) -> sel#(active X1, X2)) (active# s X -> active# X, active# sel(X1, X2) -> sel#(X1, active X2)) (active# s X -> active# X, active# sel(X1, X2) -> active# X2) (active# s X -> active# X, active# sel(X1, X2) -> active# X1) (active# s X -> active# X, active# s X -> active# X) (active# s X -> active# X, active# s X -> s# active X) (active# s X -> active# X, active# from X -> active# X) (active# s X -> active# X, active# from X -> s# X) (active# s X -> active# X, active# from X -> from# active X) (active# s X -> active# X, active# from X -> from# s X) (active# s X -> active# X, active# from X -> cons#(X, from s X)) (active# s X -> active# X, active# cons(X1, X2) -> active# X1) (active# s X -> active# X, active# cons(X1, X2) -> cons#(active X1, X2)) (proper# s X -> proper# X, proper# zWquot(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# zWquot(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# zWquot(X1, X2) -> zWquot#(proper X1, proper X2)) (proper# s X -> proper# X, proper# quot(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# quot(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# quot(X1, X2) -> quot#(proper X1, proper X2)) (proper# s X -> proper# X, proper# minus(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# minus(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# minus(X1, X2) -> minus#(proper X1, proper X2)) (proper# s X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# s X -> proper# X, proper# s X -> proper# X) (proper# s X -> proper# X, proper# s X -> s# proper X) (proper# s X -> proper# X, proper# from X -> proper# X) (proper# s X -> proper# X, proper# from X -> from# proper X) (proper# s X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (top# ok X -> active# X, active# zWquot(cons(X, XS), cons(Y, YS)) -> zWquot#(XS, YS)) (top# ok X -> active# X, active# zWquot(cons(X, XS), cons(Y, YS)) -> quot#(X, Y)) (top# ok X -> active# X, active# zWquot(cons(X, XS), cons(Y, YS)) -> cons#(quot(X, Y), zWquot(XS, YS))) (top# ok X -> active# X, active# zWquot(X1, X2) -> zWquot#(active X1, X2)) (top# ok X -> active# X, active# zWquot(X1, X2) -> zWquot#(X1, active X2)) (top# ok X -> active# X, active# zWquot(X1, X2) -> active# X2) (top# ok X -> active# X, active# zWquot(X1, X2) -> active# X1) (top# ok X -> active# X, active# quot(s X, s Y) -> quot#(minus(X, Y), s Y)) (top# ok X -> active# X, active# quot(s X, s Y) -> minus#(X, Y)) (top# ok X -> active# X, active# quot(s X, s Y) -> s# quot(minus(X, Y), s Y)) (top# ok X -> active# X, active# quot(X1, X2) -> quot#(active X1, X2)) (top# ok X -> active# X, active# quot(X1, X2) -> quot#(X1, active X2)) (top# ok X -> active# X, active# quot(X1, X2) -> active# X2) (top# ok X -> active# X, active# quot(X1, X2) -> active# X1) (top# ok X -> active# X, active# minus(s X, s Y) -> minus#(X, Y)) (top# ok X -> active# X, active# minus(X1, X2) -> minus#(active X1, X2)) (top# ok X -> active# X, active# minus(X1, X2) -> minus#(X1, active X2)) (top# ok X -> active# X, active# minus(X1, X2) -> active# X2) (top# ok X -> active# X, active# minus(X1, X2) -> active# X1) (top# ok X -> active# X, active# sel(s N, cons(X, XS)) -> sel#(N, XS)) (top# ok X -> active# X, active# sel(X1, X2) -> sel#(active X1, X2)) (top# ok X -> active# X, active# sel(X1, X2) -> sel#(X1, active X2)) (top# ok X -> active# X, active# sel(X1, X2) -> active# X2) (top# ok X -> active# X, active# sel(X1, X2) -> active# X1) (top# ok X -> active# X, active# s X -> active# X) (top# ok X -> active# X, active# s X -> s# active X) (top# ok X -> active# X, active# from X -> active# X) (top# ok X -> active# X, active# from X -> s# X) (top# ok X -> active# X, active# from X -> from# active X) (top# ok X -> active# X, active# from X -> from# s X) (top# ok X -> active# X, active# from X -> cons#(X, from s X)) (top# ok X -> active# X, active# cons(X1, X2) -> active# X1) (top# ok X -> active# X, active# cons(X1, X2) -> cons#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# zWquot(cons(X, XS), cons(Y, YS)) -> zWquot#(XS, YS)) (active# sel(X1, X2) -> active# X1, active# zWquot(cons(X, XS), cons(Y, YS)) -> quot#(X, Y)) (active# sel(X1, X2) -> active# X1, active# zWquot(cons(X, XS), cons(Y, YS)) -> cons#(quot(X, Y), zWquot(XS, YS))) (active# sel(X1, X2) -> active# X1, active# zWquot(X1, X2) -> zWquot#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# zWquot(X1, X2) -> zWquot#(X1, active X2)) (active# sel(X1, X2) -> active# X1, active# zWquot(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X1, active# zWquot(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# quot(s X, s Y) -> quot#(minus(X, Y), s Y)) (active# sel(X1, X2) -> active# X1, active# quot(s X, s Y) -> minus#(X, Y)) (active# sel(X1, X2) -> active# X1, active# quot(s X, s Y) -> s# quot(minus(X, Y), s Y)) (active# sel(X1, X2) -> active# X1, active# quot(X1, X2) -> quot#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# quot(X1, X2) -> quot#(X1, active X2)) (active# sel(X1, X2) -> active# X1, active# quot(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X1, active# quot(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# minus(s X, s Y) -> minus#(X, Y)) (active# sel(X1, X2) -> active# X1, active# minus(X1, X2) -> minus#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# minus(X1, X2) -> minus#(X1, active X2)) (active# sel(X1, X2) -> active# X1, active# minus(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X1, active# minus(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# sel(s N, cons(X, XS)) -> sel#(N, XS)) (active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# s X -> active# X) (active# sel(X1, X2) -> active# X1, active# s X -> s# active X) (active# sel(X1, X2) -> active# X1, active# from X -> active# X) (active# sel(X1, X2) -> active# X1, active# from X -> s# X) (active# sel(X1, X2) -> active# X1, active# from X -> from# active X) (active# sel(X1, X2) -> active# X1, active# from X -> from# s X) (active# sel(X1, X2) -> active# X1, active# from X -> cons#(X, from s X)) (active# sel(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# quot(X1, X2) -> active# X1, active# zWquot(cons(X, XS), cons(Y, YS)) -> zWquot#(XS, YS)) (active# quot(X1, X2) -> active# X1, active# zWquot(cons(X, XS), cons(Y, YS)) -> quot#(X, Y)) (active# quot(X1, X2) -> active# X1, active# zWquot(cons(X, XS), cons(Y, YS)) -> cons#(quot(X, Y), zWquot(XS, YS))) (active# quot(X1, X2) -> active# X1, active# zWquot(X1, X2) -> zWquot#(active X1, X2)) (active# quot(X1, X2) -> active# X1, active# zWquot(X1, X2) -> zWquot#(X1, active X2)) (active# quot(X1, X2) -> active# X1, active# zWquot(X1, X2) -> active# X2) (active# quot(X1, X2) -> active# X1, active# zWquot(X1, X2) -> active# X1) (active# quot(X1, X2) -> active# X1, active# quot(s X, s Y) -> quot#(minus(X, Y), s Y)) (active# quot(X1, X2) -> active# X1, active# quot(s X, s Y) -> minus#(X, Y)) (active# quot(X1, X2) -> active# X1, active# quot(s X, s Y) -> s# quot(minus(X, Y), s Y)) (active# quot(X1, X2) -> active# X1, active# quot(X1, X2) -> quot#(active X1, X2)) (active# quot(X1, X2) -> active# X1, active# quot(X1, X2) -> quot#(X1, active X2)) (active# quot(X1, X2) -> active# X1, active# quot(X1, X2) -> active# X2) (active# quot(X1, X2) -> active# X1, active# quot(X1, X2) -> active# X1) (active# quot(X1, X2) -> active# X1, active# minus(s X, s Y) -> minus#(X, Y)) (active# quot(X1, X2) -> active# X1, active# minus(X1, X2) -> minus#(active X1, X2)) (active# quot(X1, X2) -> active# X1, active# minus(X1, X2) -> minus#(X1, active X2)) (active# quot(X1, X2) -> active# X1, active# minus(X1, X2) -> active# X2) (active# quot(X1, X2) -> active# X1, active# minus(X1, X2) -> active# X1) (active# quot(X1, X2) -> active# X1, active# sel(s N, cons(X, XS)) -> sel#(N, XS)) (active# quot(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# quot(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# quot(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# quot(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# quot(X1, X2) -> active# X1, active# s X -> active# X) (active# quot(X1, X2) -> active# X1, active# s X -> s# active X) (active# quot(X1, X2) -> active# X1, active# from X -> active# X) (active# quot(X1, X2) -> active# X1, active# from X -> s# X) (active# quot(X1, X2) -> active# X1, active# from X -> from# active X) (active# quot(X1, X2) -> active# X1, active# from X -> from# s X) (active# quot(X1, X2) -> active# X1, active# from X -> cons#(X, from s X)) (active# quot(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# quot(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (proper# cons(X1, X2) -> proper# X1, proper# zWquot(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# zWquot(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# zWquot(X1, X2) -> zWquot#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# quot(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# quot(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# quot(X1, X2) -> quot#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# minus(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# minus(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# minus(X1, X2) -> minus#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# cons(X1, X2) -> proper# X1, proper# from X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# from X -> from# proper X) (proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# minus(X1, X2) -> proper# X1, proper# zWquot(X1, X2) -> proper# X2) (proper# minus(X1, X2) -> proper# X1, proper# zWquot(X1, X2) -> proper# X1) (proper# minus(X1, X2) -> proper# X1, proper# zWquot(X1, X2) -> zWquot#(proper X1, proper X2)) (proper# minus(X1, X2) -> proper# X1, proper# quot(X1, X2) -> proper# X2) (proper# minus(X1, X2) -> proper# X1, proper# quot(X1, X2) -> proper# X1) (proper# minus(X1, X2) -> proper# X1, proper# quot(X1, X2) -> quot#(proper X1, proper X2)) (proper# minus(X1, X2) -> proper# X1, proper# minus(X1, X2) -> proper# X2) (proper# minus(X1, X2) -> proper# X1, proper# minus(X1, X2) -> 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proper# from X -> proper# X) (proper# zWquot(X1, X2) -> proper# X1, proper# from X -> from# proper X) (proper# zWquot(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# zWquot(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# zWquot(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (active# quot(s X, s Y) -> s# quot(minus(X, Y), s Y), s# ok X -> s# X) (active# quot(s X, s Y) -> s# quot(minus(X, Y), s Y), s# mark X -> s# X) (active# sel(s N, cons(X, XS)) -> sel#(N, XS), sel#(X1, mark X2) -> sel#(X1, X2)) (active# sel(s N, cons(X, XS)) -> sel#(N, XS), sel#(mark X1, X2) -> sel#(X1, X2)) (active# sel(s N, cons(X, XS)) -> sel#(N, XS), sel#(ok X1, ok X2) -> sel#(X1, X2)) (proper# quot(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# quot(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# quot(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# quot(X1, X2) -> 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X1) (active# cons(X1, X2) -> active# X1, active# zWquot(X1, X2) -> active# X2) (active# cons(X1, X2) -> active# X1, active# zWquot(X1, X2) -> zWquot#(X1, active X2)) (active# cons(X1, X2) -> active# X1, active# zWquot(X1, X2) -> zWquot#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# zWquot(cons(X, XS), cons(Y, YS)) -> cons#(quot(X, Y), zWquot(XS, YS))) (active# cons(X1, X2) -> active# X1, active# zWquot(cons(X, XS), cons(Y, YS)) -> quot#(X, Y)) (active# cons(X1, X2) -> active# X1, active# zWquot(cons(X, XS), cons(Y, YS)) -> zWquot#(XS, YS)) (top# mark X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (top# mark X -> proper# X, proper# cons(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# cons(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# from X -> from# proper X) (top# mark X -> proper# X, proper# from X -> proper# X) (top# mark X -> proper# X, proper# s X -> s# proper X) (top# mark X -> proper# X, proper# s X -> proper# X) (top# 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(proper# zWquot(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# zWquot(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# zWquot(X1, X2) -> proper# X2, proper# minus(X1, X2) -> minus#(proper X1, proper X2)) (proper# zWquot(X1, X2) -> proper# X2, proper# minus(X1, X2) -> proper# X1) (proper# zWquot(X1, X2) -> proper# X2, proper# minus(X1, X2) -> proper# X2) (proper# zWquot(X1, X2) -> proper# X2, proper# quot(X1, X2) -> quot#(proper X1, proper X2)) (proper# zWquot(X1, X2) -> proper# X2, proper# quot(X1, X2) -> proper# X1) (proper# zWquot(X1, X2) -> proper# X2, proper# quot(X1, X2) -> proper# X2) (proper# zWquot(X1, X2) -> proper# X2, proper# zWquot(X1, X2) -> zWquot#(proper X1, proper X2)) (proper# zWquot(X1, X2) -> proper# X2, proper# zWquot(X1, X2) -> proper# X1) (proper# zWquot(X1, X2) -> proper# X2, proper# zWquot(X1, X2) -> proper# X2) (proper# minus(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# minus(X1, X2) 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active# X2, active# s X -> active# X) (active# sel(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(X1, active X2)) (active# sel(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# sel(s N, cons(X, XS)) -> sel#(N, XS)) (active# sel(X1, X2) -> active# X2, active# minus(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# minus(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X2, active# minus(X1, X2) -> minus#(X1, active X2)) (active# sel(X1, X2) -> active# X2, active# minus(X1, X2) -> minus#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# minus(s X, s Y) -> minus#(X, Y)) (active# sel(X1, X2) -> active# X2, active# quot(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# quot(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X2, active# quot(X1, X2) -> quot#(X1, active X2)) (active# sel(X1, X2) -> active# X2, active# quot(X1, X2) -> quot#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# quot(s X, s Y) -> s# quot(minus(X, Y), s Y)) (active# sel(X1, X2) -> active# X2, active# quot(s X, s Y) -> minus#(X, Y)) (active# sel(X1, X2) -> active# X2, active# quot(s X, s Y) -> quot#(minus(X, Y), s Y)) (active# sel(X1, X2) -> active# X2, active# zWquot(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# zWquot(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X2, active# zWquot(X1, X2) -> zWquot#(X1, active X2)) (active# sel(X1, X2) -> active# X2, active# zWquot(X1, X2) -> zWquot#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# zWquot(cons(X, XS), cons(Y, YS)) -> cons#(quot(X, Y), zWquot(XS, YS))) (active# sel(X1, X2) -> active# X2, active# zWquot(cons(X, XS), cons(Y, YS)) -> quot#(X, Y)) (active# sel(X1, X2) -> active# X2, active# zWquot(cons(X, XS), cons(Y, YS)) -> zWquot#(XS, YS)) (active# from X -> cons#(X, from s X), cons#(mark X1, X2) -> cons#(X1, X2)) (active# from X -> cons#(X, from s X), cons#(ok X1, ok X2) -> cons#(X1, X2)) (top# mark X -> top# proper X, top# mark X -> proper# X) (top# mark X -> top# proper X, top# mark X -> top# proper X) (top# mark X -> top# proper X, top# ok X -> active# X) (top# mark X -> top# proper X, top# ok X -> top# active X) (proper# from X -> from# proper X, from# mark X -> from# X) (proper# from X -> from# proper X, from# ok X -> from# X) (active# from X -> from# active X, from# mark X -> from# X) (active# from X -> from# active X, from# ok X -> from# X) (active# zWquot(cons(X, XS), cons(Y, YS)) -> quot#(X, Y), quot#(X1, mark X2) -> quot#(X1, X2)) (active# zWquot(cons(X, XS), cons(Y, YS)) -> quot#(X, Y), quot#(mark X1, X2) -> quot#(X1, X2)) (active# zWquot(cons(X, XS), cons(Y, YS)) -> quot#(X, Y), quot#(ok X1, ok X2) -> quot#(X1, X2)) (active# minus(s X, s Y) -> minus#(X, Y), minus#(X1, mark X2) -> minus#(X1, X2)) (active# minus(s X, s Y) -> minus#(X, Y), minus#(mark X1, X2) -> minus#(X1, X2)) (active# minus(s X, s Y) -> minus#(X, Y), minus#(ok X1, ok X2) -> minus#(X1, X2)) } STATUS: arrows: 0.858473 SCCS (10): Scc: {top# mark X -> top# proper X, top# ok X -> top# active X} Scc: { active# cons(X1, X2) -> active# X1, active# from X -> active# X, active# s X -> active# X, active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2, active# minus(X1, X2) -> active# X1, active# minus(X1, X2) -> active# X2, active# quot(X1, X2) -> active# X1, active# quot(X1, X2) -> active# X2, active# zWquot(X1, X2) -> active# X1, active# zWquot(X1, X2) -> active# X2} Scc: { proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2, proper# from X -> proper# X, proper# s X -> proper# X, proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2, proper# minus(X1, X2) -> proper# X1, proper# minus(X1, X2) -> proper# X2, proper# quot(X1, X2) -> proper# X1, proper# quot(X1, X2) -> proper# X2, proper# zWquot(X1, X2) -> proper# X1, proper# zWquot(X1, X2) -> proper# X2} Scc: { zWquot#(X1, mark X2) -> zWquot#(X1, X2), zWquot#(mark X1, X2) -> zWquot#(X1, X2), zWquot#(ok X1, ok X2) -> zWquot#(X1, X2)} Scc: { sel#(X1, mark X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2), sel#(ok X1, ok X2) -> sel#(X1, X2)} Scc: { cons#(mark X1, X2) -> cons#(X1, X2), cons#(ok X1, ok X2) -> cons#(X1, X2)} Scc: {s# mark X -> s# X, s# ok X -> s# X} Scc: {from# mark X -> from# X, from# ok X -> from# X} Scc: { quot#(X1, mark X2) -> quot#(X1, X2), quot#(mark X1, X2) -> quot#(X1, X2), quot#(ok X1, ok X2) -> quot#(X1, X2)} Scc: { minus#(X1, mark X2) -> minus#(X1, X2), minus#(mark X1, X2) -> minus#(X1, X2), minus#(ok X1, ok X2) -> minus#(X1, X2)} SCC (2): Strict: {top# mark X -> top# proper X, top# ok X -> top# active X} Weak: { cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), from mark X -> mark from X, from ok X -> ok from X, s mark X -> mark s X, s ok X -> ok s X, active cons(X1, X2) -> cons(active X1, X2), active from X -> mark cons(X, from s X), active from X -> from active X, active s X -> s active X, active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active sel(s N, cons(X, XS)) -> mark sel(N, XS), active sel(0(), cons(X, XS)) -> mark X, active minus(X, 0()) -> mark 0(), active minus(X1, X2) -> minus(X1, active X2), active minus(X1, X2) -> minus(active X1, X2), active minus(s X, s Y) -> mark minus(X, Y), active quot(X1, X2) -> quot(X1, active X2), active quot(X1, X2) -> quot(active X1, X2), active quot(s X, s Y) -> mark s quot(minus(X, Y), s Y), active quot(0(), s Y) -> mark 0(), active zWquot(XS, nil()) -> mark nil(), active zWquot(X1, X2) -> zWquot(X1, active X2), active zWquot(X1, X2) -> zWquot(active X1, X2), active zWquot(cons(X, XS), cons(Y, YS)) -> mark cons(quot(X, Y), zWquot(XS, YS)), active zWquot(nil(), XS) -> mark nil(), sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), minus(X1, mark X2) -> mark minus(X1, X2), minus(mark X1, X2) -> mark minus(X1, X2), minus(ok X1, ok X2) -> ok minus(X1, X2), quot(X1, mark X2) -> mark quot(X1, X2), quot(mark X1, X2) -> mark quot(X1, X2), quot(ok X1, ok X2) -> ok quot(X1, X2), zWquot(X1, mark X2) -> mark zWquot(X1, X2), zWquot(mark X1, X2) -> mark zWquot(X1, X2), zWquot(ok X1, ok X2) -> ok zWquot(X1, X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper from X -> from proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper 0() -> ok 0(), proper minus(X1, X2) -> minus(proper X1, proper X2), proper quot(X1, X2) -> quot(proper X1, proper X2), proper nil() -> ok nil(), proper zWquot(X1, X2) -> zWquot(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (11): Strict: { active# cons(X1, X2) -> active# X1, active# from X -> active# X, active# s X -> active# X, active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2, active# minus(X1, X2) -> active# X1, active# minus(X1, X2) -> active# X2, active# quot(X1, X2) -> active# X1, active# quot(X1, X2) -> active# X2, active# zWquot(X1, X2) -> active# X1, active# zWquot(X1, X2) -> active# X2} Weak: { cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), from mark X -> mark from X, from ok X -> ok from X, s mark X -> mark s X, s ok X -> ok s X, active cons(X1, X2) -> cons(active X1, X2), active from X -> mark cons(X, from s X), active from X -> from active X, active s X -> s active X, active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active sel(s N, cons(X, XS)) -> mark sel(N, XS), active sel(0(), cons(X, XS)) -> mark X, active minus(X, 0()) -> mark 0(), active minus(X1, X2) -> minus(X1, active X2), active minus(X1, X2) -> minus(active X1, X2), active minus(s X, s Y) -> mark minus(X, Y), active quot(X1, X2) -> quot(X1, active X2), active quot(X1, X2) -> quot(active X1, X2), active quot(s X, s Y) -> mark s quot(minus(X, Y), s Y), active quot(0(), s Y) -> mark 0(), active zWquot(XS, nil()) -> mark nil(), active zWquot(X1, X2) -> zWquot(X1, active X2), active zWquot(X1, X2) -> zWquot(active X1, X2), active zWquot(cons(X, XS), cons(Y, YS)) -> mark cons(quot(X, Y), zWquot(XS, YS)), active zWquot(nil(), XS) -> mark nil(), sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), minus(X1, mark X2) -> mark minus(X1, X2), minus(mark X1, X2) -> mark minus(X1, X2), minus(ok X1, ok X2) -> ok minus(X1, X2), quot(X1, mark X2) -> mark quot(X1, X2), quot(mark X1, X2) -> mark quot(X1, X2), quot(ok X1, ok X2) -> ok quot(X1, X2), zWquot(X1, mark X2) -> mark zWquot(X1, X2), zWquot(mark X1, X2) -> mark zWquot(X1, X2), zWquot(ok X1, ok X2) -> ok zWquot(X1, X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper from X -> from proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper 0() -> ok 0(), proper minus(X1, X2) -> minus(proper X1, proper X2), proper quot(X1, X2) -> quot(proper X1, proper X2), proper nil() -> ok nil(), proper zWquot(X1, X2) -> zWquot(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (12): Strict: { proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2, proper# from X -> proper# X, proper# s X -> proper# X, proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2, proper# minus(X1, X2) -> proper# X1, proper# minus(X1, X2) -> proper# X2, proper# quot(X1, X2) -> proper# X1, proper# quot(X1, X2) -> proper# X2, proper# zWquot(X1, X2) -> proper# X1, proper# zWquot(X1, X2) -> proper# X2} Weak: { cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), from mark X -> mark from X, from ok X -> ok from X, s mark X -> mark s X, s ok X -> ok s X, active cons(X1, X2) -> cons(active X1, X2), active from X -> mark cons(X, from s X), active from X -> from active X, active s X -> s active X, active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active sel(s N, cons(X, XS)) -> mark sel(N, XS), active sel(0(), cons(X, XS)) -> mark X, active minus(X, 0()) -> mark 0(), active minus(X1, X2) -> minus(X1, active X2), active minus(X1, X2) -> minus(active X1, X2), active minus(s X, s Y) -> mark minus(X, Y), active quot(X1, X2) -> quot(X1, active X2), active quot(X1, X2) -> quot(active X1, X2), active quot(s X, s Y) -> mark s quot(minus(X, Y), s Y), active quot(0(), s Y) -> mark 0(), active zWquot(XS, nil()) -> mark nil(), active zWquot(X1, X2) -> zWquot(X1, active X2), active zWquot(X1, X2) -> zWquot(active X1, X2), active zWquot(cons(X, XS), cons(Y, YS)) -> mark cons(quot(X, Y), zWquot(XS, YS)), active zWquot(nil(), XS) -> mark nil(), sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), minus(X1, mark X2) -> mark minus(X1, X2), minus(mark X1, X2) -> mark minus(X1, X2), minus(ok X1, ok X2) -> ok minus(X1, X2), quot(X1, mark X2) -> mark quot(X1, X2), quot(mark X1, X2) -> mark quot(X1, X2), quot(ok X1, ok X2) -> ok quot(X1, X2), zWquot(X1, mark X2) -> mark zWquot(X1, X2), zWquot(mark X1, X2) -> mark zWquot(X1, X2), zWquot(ok X1, ok X2) -> ok zWquot(X1, X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper from X -> from proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper 0() -> ok 0(), proper minus(X1, X2) -> minus(proper X1, proper X2), proper quot(X1, X2) -> quot(proper X1, proper X2), proper nil() -> ok nil(), proper zWquot(X1, X2) -> zWquot(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (3): Strict: { zWquot#(X1, mark X2) -> zWquot#(X1, X2), zWquot#(mark X1, X2) -> zWquot#(X1, X2), zWquot#(ok X1, ok X2) -> zWquot#(X1, X2)} Weak: { cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), from mark X -> mark from X, from ok X -> ok from X, s mark X -> mark s X, s ok X -> ok s X, active cons(X1, X2) -> cons(active X1, X2), active from X -> mark cons(X, from s X), active from X -> from active X, active s X -> s active X, active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active sel(s N, cons(X, XS)) -> mark sel(N, XS), active sel(0(), cons(X, XS)) -> mark X, active minus(X, 0()) -> mark 0(), active minus(X1, X2) -> minus(X1, active X2), active minus(X1, X2) -> minus(active X1, X2), active minus(s X, s Y) -> mark minus(X, Y), active quot(X1, X2) -> quot(X1, active X2), active quot(X1, X2) -> quot(active X1, X2), active quot(s X, s Y) -> mark s quot(minus(X, Y), s Y), active quot(0(), s Y) -> mark 0(), active zWquot(XS, nil()) -> mark nil(), active zWquot(X1, X2) -> zWquot(X1, active X2), active zWquot(X1, X2) -> zWquot(active X1, X2), active zWquot(cons(X, XS), cons(Y, YS)) -> mark cons(quot(X, Y), zWquot(XS, YS)), active zWquot(nil(), XS) -> mark nil(), sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), minus(X1, mark X2) -> mark minus(X1, X2), minus(mark X1, X2) -> mark minus(X1, X2), minus(ok X1, ok X2) -> ok minus(X1, X2), quot(X1, mark X2) -> mark quot(X1, X2), quot(mark X1, X2) -> mark quot(X1, X2), quot(ok X1, ok X2) -> ok quot(X1, X2), zWquot(X1, mark X2) -> mark zWquot(X1, X2), zWquot(mark X1, X2) -> mark zWquot(X1, X2), zWquot(ok X1, ok X2) -> ok zWquot(X1, X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper from X -> from proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper 0() -> ok 0(), proper minus(X1, X2) -> minus(proper X1, proper X2), proper quot(X1, X2) -> quot(proper X1, proper X2), proper nil() -> ok nil(), proper zWquot(X1, X2) -> zWquot(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (3): Strict: { sel#(X1, mark X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2), sel#(ok X1, ok X2) -> sel#(X1, X2)} Weak: { cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), from mark X -> mark from X, from ok X -> ok from X, s mark X -> mark s X, s ok X -> ok s X, active cons(X1, X2) -> cons(active X1, X2), active from X -> mark cons(X, from s X), active from X -> from active X, active s X -> s active X, active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active sel(s N, cons(X, XS)) -> mark sel(N, XS), active sel(0(), cons(X, XS)) -> mark X, active minus(X, 0()) -> mark 0(), active minus(X1, X2) -> minus(X1, active X2), active minus(X1, X2) -> minus(active X1, X2), active minus(s X, s Y) -> mark minus(X, Y), active quot(X1, X2) -> quot(X1, active X2), active quot(X1, X2) -> quot(active X1, X2), active quot(s X, s Y) -> mark s quot(minus(X, Y), s Y), active quot(0(), s Y) -> mark 0(), active zWquot(XS, nil()) -> mark nil(), active zWquot(X1, X2) -> zWquot(X1, active X2), active zWquot(X1, X2) -> zWquot(active X1, X2), active zWquot(cons(X, XS), cons(Y, YS)) -> mark cons(quot(X, Y), zWquot(XS, YS)), active zWquot(nil(), XS) -> mark nil(), sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), minus(X1, mark X2) -> mark minus(X1, X2), minus(mark X1, X2) -> mark minus(X1, X2), minus(ok X1, ok X2) -> ok minus(X1, X2), quot(X1, mark X2) -> mark quot(X1, X2), quot(mark X1, X2) -> mark quot(X1, X2), quot(ok X1, ok X2) -> ok quot(X1, X2), zWquot(X1, mark X2) -> mark zWquot(X1, X2), zWquot(mark X1, X2) -> mark zWquot(X1, X2), zWquot(ok X1, ok X2) -> ok zWquot(X1, X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper from X -> from proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper 0() -> ok 0(), proper minus(X1, X2) -> minus(proper X1, proper X2), proper quot(X1, X2) -> quot(proper X1, proper X2), proper nil() -> ok nil(), proper zWquot(X1, X2) -> zWquot(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: { cons#(mark X1, X2) -> cons#(X1, X2), cons#(ok X1, ok X2) -> cons#(X1, X2)} Weak: { cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), from mark X -> mark from X, from ok X -> ok from X, s mark X -> mark s X, s ok X -> ok s X, active cons(X1, X2) -> cons(active X1, X2), active from X -> mark cons(X, from s X), active from X -> from active X, active s X -> s active X, active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active sel(s N, cons(X, XS)) -> mark sel(N, XS), active sel(0(), cons(X, XS)) -> mark X, active minus(X, 0()) -> mark 0(), active minus(X1, X2) -> minus(X1, active X2), active minus(X1, X2) -> minus(active X1, X2), active minus(s X, s Y) -> mark minus(X, Y), active quot(X1, X2) -> quot(X1, active X2), active quot(X1, X2) -> quot(active X1, X2), active quot(s X, s Y) -> mark s quot(minus(X, Y), s Y), active quot(0(), s Y) -> mark 0(), active zWquot(XS, nil()) -> mark nil(), active zWquot(X1, X2) -> zWquot(X1, active X2), active zWquot(X1, X2) -> zWquot(active X1, X2), active zWquot(cons(X, XS), cons(Y, YS)) -> mark cons(quot(X, Y), zWquot(XS, YS)), active zWquot(nil(), XS) -> mark nil(), sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), minus(X1, mark X2) -> mark minus(X1, X2), minus(mark X1, X2) -> mark minus(X1, X2), minus(ok X1, ok X2) -> ok minus(X1, X2), quot(X1, mark X2) -> mark quot(X1, X2), quot(mark X1, X2) -> mark quot(X1, X2), quot(ok X1, ok X2) -> ok quot(X1, X2), zWquot(X1, mark X2) -> mark zWquot(X1, X2), zWquot(mark X1, X2) -> mark zWquot(X1, X2), zWquot(ok X1, ok X2) -> ok zWquot(X1, X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper from X -> from proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper 0() -> ok 0(), proper minus(X1, X2) -> minus(proper X1, proper X2), proper quot(X1, X2) -> quot(proper X1, proper X2), proper nil() -> ok nil(), proper zWquot(X1, X2) -> zWquot(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: {s# mark X -> s# X, s# ok X -> s# X} Weak: { cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), from mark X -> mark from X, from ok X -> ok from X, s mark X -> mark s X, s ok X -> ok s X, active cons(X1, X2) -> cons(active X1, X2), active from X -> mark cons(X, from s X), active from X -> from active X, active s X -> s active X, active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active sel(s N, cons(X, XS)) -> mark sel(N, XS), active sel(0(), cons(X, XS)) -> mark X, active minus(X, 0()) -> mark 0(), active minus(X1, X2) -> minus(X1, active X2), active minus(X1, X2) -> minus(active X1, X2), active minus(s X, s Y) -> mark minus(X, Y), active quot(X1, X2) -> quot(X1, active X2), active quot(X1, X2) -> quot(active X1, X2), active quot(s X, s Y) -> mark s quot(minus(X, Y), s Y), active quot(0(), s Y) -> mark 0(), active zWquot(XS, nil()) -> mark nil(), active zWquot(X1, X2) -> zWquot(X1, active X2), active zWquot(X1, X2) -> zWquot(active X1, X2), active zWquot(cons(X, XS), cons(Y, YS)) -> mark cons(quot(X, Y), zWquot(XS, YS)), active zWquot(nil(), XS) -> mark nil(), sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), minus(X1, mark X2) -> mark minus(X1, X2), minus(mark X1, X2) -> mark minus(X1, X2), minus(ok X1, ok X2) -> ok minus(X1, X2), quot(X1, mark X2) -> mark quot(X1, X2), quot(mark X1, X2) -> mark quot(X1, X2), quot(ok X1, ok X2) -> ok quot(X1, X2), zWquot(X1, mark X2) -> mark zWquot(X1, X2), zWquot(mark X1, X2) -> mark zWquot(X1, X2), zWquot(ok X1, ok X2) -> ok zWquot(X1, X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper from X -> from proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper 0() -> ok 0(), proper minus(X1, X2) -> minus(proper X1, proper X2), proper quot(X1, X2) -> quot(proper X1, proper X2), proper nil() -> ok nil(), proper zWquot(X1, X2) -> zWquot(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: {from# mark X -> from# X, from# ok X -> from# X} Weak: { cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), from mark X -> mark from X, from ok X -> ok from X, s mark X -> mark s X, s ok X -> ok s X, active cons(X1, X2) -> cons(active X1, X2), active from X -> mark cons(X, from s X), active from X -> from active X, active s X -> s active X, active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active sel(s N, cons(X, XS)) -> mark sel(N, XS), active sel(0(), cons(X, XS)) -> mark X, active minus(X, 0()) -> mark 0(), active minus(X1, X2) -> minus(X1, active X2), active minus(X1, X2) -> minus(active X1, X2), active minus(s X, s Y) -> mark minus(X, Y), active quot(X1, X2) -> quot(X1, active X2), active quot(X1, X2) -> quot(active X1, X2), active quot(s X, s Y) -> mark s quot(minus(X, Y), s Y), active quot(0(), s Y) -> mark 0(), active zWquot(XS, nil()) -> mark nil(), active zWquot(X1, X2) -> zWquot(X1, active X2), active zWquot(X1, X2) -> zWquot(active X1, X2), active zWquot(cons(X, XS), cons(Y, YS)) -> mark cons(quot(X, Y), zWquot(XS, YS)), active zWquot(nil(), XS) -> mark nil(), sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), minus(X1, mark X2) -> mark minus(X1, X2), minus(mark X1, X2) -> mark minus(X1, X2), minus(ok X1, ok X2) -> ok minus(X1, X2), quot(X1, mark X2) -> mark quot(X1, X2), quot(mark X1, X2) -> mark quot(X1, X2), quot(ok X1, ok X2) -> ok quot(X1, X2), zWquot(X1, mark X2) -> mark zWquot(X1, X2), zWquot(mark X1, X2) -> mark zWquot(X1, X2), zWquot(ok X1, ok X2) -> ok zWquot(X1, X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper from X -> from proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper 0() -> ok 0(), proper minus(X1, X2) -> minus(proper X1, proper X2), proper quot(X1, X2) -> quot(proper X1, proper X2), proper nil() -> ok nil(), proper zWquot(X1, X2) -> zWquot(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (3): Strict: { quot#(X1, mark X2) -> quot#(X1, X2), quot#(mark X1, X2) -> quot#(X1, X2), quot#(ok X1, ok X2) -> quot#(X1, X2)} Weak: { cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), from mark X -> mark from X, from ok X -> ok from X, s mark X -> mark s X, s ok X -> ok s X, active cons(X1, X2) -> cons(active X1, X2), active from X -> mark cons(X, from s X), active from X -> from active X, active s X -> s active X, active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active sel(s N, cons(X, XS)) -> mark sel(N, XS), active sel(0(), cons(X, XS)) -> mark X, active minus(X, 0()) -> mark 0(), active minus(X1, X2) -> minus(X1, active X2), active minus(X1, X2) -> minus(active X1, X2), active minus(s X, s Y) -> mark minus(X, Y), active quot(X1, X2) -> quot(X1, active X2), active quot(X1, X2) -> quot(active X1, X2), active quot(s X, s Y) -> mark s quot(minus(X, Y), s Y), active quot(0(), s Y) -> mark 0(), active zWquot(XS, nil()) -> mark nil(), active zWquot(X1, X2) -> zWquot(X1, active X2), active zWquot(X1, X2) -> zWquot(active X1, X2), active zWquot(cons(X, XS), cons(Y, YS)) -> mark cons(quot(X, Y), zWquot(XS, YS)), active zWquot(nil(), XS) -> mark nil(), sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), minus(X1, mark X2) -> mark minus(X1, X2), minus(mark X1, X2) -> mark minus(X1, X2), minus(ok X1, ok X2) -> ok minus(X1, X2), quot(X1, mark X2) -> mark quot(X1, X2), quot(mark X1, X2) -> mark quot(X1, X2), quot(ok X1, ok X2) -> ok quot(X1, X2), zWquot(X1, mark X2) -> mark zWquot(X1, X2), zWquot(mark X1, X2) -> mark zWquot(X1, X2), zWquot(ok X1, ok X2) -> ok zWquot(X1, X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper from X -> from proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper 0() -> ok 0(), proper minus(X1, X2) -> minus(proper X1, proper X2), proper quot(X1, X2) -> quot(proper X1, proper X2), proper nil() -> ok nil(), proper zWquot(X1, X2) -> zWquot(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (3): Strict: { minus#(X1, mark X2) -> minus#(X1, X2), minus#(mark X1, X2) -> minus#(X1, X2), minus#(ok X1, ok X2) -> minus#(X1, X2)} Weak: { cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), from mark X -> mark from X, from ok X -> ok from X, s mark X -> mark s X, s ok X -> ok s X, active cons(X1, X2) -> cons(active X1, X2), active from X -> mark cons(X, from s X), active from X -> from active X, active s X -> s active X, active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active sel(s N, cons(X, XS)) -> mark sel(N, XS), active sel(0(), cons(X, XS)) -> mark X, active minus(X, 0()) -> mark 0(), active minus(X1, X2) -> minus(X1, active X2), active minus(X1, X2) -> minus(active X1, X2), active minus(s X, s Y) -> mark minus(X, Y), active quot(X1, X2) -> quot(X1, active X2), active quot(X1, X2) -> quot(active X1, X2), active quot(s X, s Y) -> mark s quot(minus(X, Y), s Y), active quot(0(), s Y) -> mark 0(), active zWquot(XS, nil()) -> mark nil(), active zWquot(X1, X2) -> zWquot(X1, active X2), active zWquot(X1, X2) -> zWquot(active X1, X2), active zWquot(cons(X, XS), cons(Y, YS)) -> mark cons(quot(X, Y), zWquot(XS, YS)), active zWquot(nil(), XS) -> mark nil(), sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), minus(X1, mark X2) -> mark minus(X1, X2), minus(mark X1, X2) -> mark minus(X1, X2), minus(ok X1, ok X2) -> ok minus(X1, X2), quot(X1, mark X2) -> mark quot(X1, X2), quot(mark X1, X2) -> mark quot(X1, X2), quot(ok X1, ok X2) -> ok quot(X1, X2), zWquot(X1, mark X2) -> mark zWquot(X1, X2), zWquot(mark X1, X2) -> mark zWquot(X1, X2), zWquot(ok X1, ok X2) -> ok zWquot(X1, X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper from X -> from proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper 0() -> ok 0(), proper minus(X1, X2) -> minus(proper X1, proper X2), proper quot(X1, X2) -> quot(proper X1, proper X2), proper nil() -> ok nil(), proper zWquot(X1, X2) -> zWquot(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open