/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) Proof: DP Processor: DPs: active#(app(nil(),YS)) -> mark#(YS) active#(app(cons(X,XS),YS)) -> app#(XS,YS) active#(app(cons(X,XS),YS)) -> cons#(X,app(XS,YS)) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) 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#(zWadr(nil(),YS)) -> mark#(nil()) active#(zWadr(XS,nil())) -> mark#(nil()) active#(zWadr(cons(X,XS),cons(Y,YS))) -> zWadr#(XS,YS) active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(X,nil()) active#(zWadr(cons(X,XS),cons(Y,YS))) -> app#(Y,cons(X,nil())) active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(app(Y,cons(X,nil())),zWadr(XS,YS)) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active#(prefix(L)) -> zWadr#(L,prefix(L)) active#(prefix(L)) -> cons#(nil(),zWadr(L,prefix(L))) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) mark#(app(X1,X2)) -> mark#(X2) mark#(app(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) mark#(nil()) -> active#(nil()) 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#(s(X)) -> mark#(X) mark#(s(X)) -> s#(mark(X)) mark#(s(X)) -> active#(s(mark(X))) mark#(zWadr(X1,X2)) -> mark#(X2) mark#(zWadr(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(prefix(X)) -> mark#(X) mark#(prefix(X)) -> prefix#(mark(X)) mark#(prefix(X)) -> active#(prefix(mark(X))) app#(mark(X1),X2) -> app#(X1,X2) app#(X1,mark(X2)) -> app#(X1,X2) app#(active(X1),X2) -> app#(X1,X2) app#(X1,active(X2)) -> app#(X1,X2) 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) s#(mark(X)) -> s#(X) s#(active(X)) -> s#(X) zWadr#(mark(X1),X2) -> zWadr#(X1,X2) zWadr#(X1,mark(X2)) -> zWadr#(X1,X2) zWadr#(active(X1),X2) -> zWadr#(X1,X2) zWadr#(X1,active(X2)) -> zWadr#(X1,X2) prefix#(mark(X)) -> prefix#(X) prefix#(active(X)) -> prefix#(X) TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) TDG Processor: DPs: active#(app(nil(),YS)) -> mark#(YS) active#(app(cons(X,XS),YS)) -> app#(XS,YS) active#(app(cons(X,XS),YS)) -> cons#(X,app(XS,YS)) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) 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#(zWadr(nil(),YS)) -> mark#(nil()) active#(zWadr(XS,nil())) -> mark#(nil()) active#(zWadr(cons(X,XS),cons(Y,YS))) -> zWadr#(XS,YS) active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(X,nil()) active#(zWadr(cons(X,XS),cons(Y,YS))) -> app#(Y,cons(X,nil())) active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(app(Y,cons(X,nil())),zWadr(XS,YS)) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active#(prefix(L)) -> zWadr#(L,prefix(L)) active#(prefix(L)) -> cons#(nil(),zWadr(L,prefix(L))) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) mark#(app(X1,X2)) -> mark#(X2) mark#(app(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) mark#(nil()) -> active#(nil()) 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#(s(X)) -> mark#(X) mark#(s(X)) -> s#(mark(X)) mark#(s(X)) -> active#(s(mark(X))) mark#(zWadr(X1,X2)) -> mark#(X2) mark#(zWadr(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(prefix(X)) -> mark#(X) mark#(prefix(X)) -> prefix#(mark(X)) mark#(prefix(X)) -> active#(prefix(mark(X))) app#(mark(X1),X2) -> app#(X1,X2) app#(X1,mark(X2)) -> app#(X1,X2) app#(active(X1),X2) -> app#(X1,X2) app#(X1,active(X2)) -> app#(X1,X2) 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) s#(mark(X)) -> s#(X) s#(active(X)) -> s#(X) zWadr#(mark(X1),X2) -> zWadr#(X1,X2) zWadr#(X1,mark(X2)) -> zWadr#(X1,X2) zWadr#(active(X1),X2) -> zWadr#(X1,X2) zWadr#(X1,active(X2)) -> zWadr#(X1,X2) prefix#(mark(X)) -> prefix#(X) prefix#(active(X)) -> prefix#(X) TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) graph: prefix#(mark(X)) -> prefix#(X) -> prefix#(active(X)) -> prefix#(X) prefix#(mark(X)) -> prefix#(X) -> prefix#(mark(X)) -> prefix#(X) prefix#(active(X)) -> prefix#(X) -> prefix#(active(X)) -> prefix#(X) prefix#(active(X)) -> prefix#(X) -> prefix#(mark(X)) -> prefix#(X) zWadr#(mark(X1),X2) -> zWadr#(X1,X2) -> zWadr#(X1,active(X2)) -> zWadr#(X1,X2) zWadr#(mark(X1),X2) -> zWadr#(X1,X2) -> zWadr#(active(X1),X2) -> zWadr#(X1,X2) zWadr#(mark(X1),X2) -> zWadr#(X1,X2) -> zWadr#(X1,mark(X2)) -> zWadr#(X1,X2) zWadr#(mark(X1),X2) -> zWadr#(X1,X2) -> zWadr#(mark(X1),X2) -> zWadr#(X1,X2) zWadr#(active(X1),X2) -> zWadr#(X1,X2) -> zWadr#(X1,active(X2)) -> zWadr#(X1,X2) zWadr#(active(X1),X2) -> zWadr#(X1,X2) -> zWadr#(active(X1),X2) -> zWadr#(X1,X2) zWadr#(active(X1),X2) -> zWadr#(X1,X2) -> zWadr#(X1,mark(X2)) -> zWadr#(X1,X2) zWadr#(active(X1),X2) -> zWadr#(X1,X2) -> zWadr#(mark(X1),X2) -> zWadr#(X1,X2) zWadr#(X1,mark(X2)) -> zWadr#(X1,X2) -> zWadr#(X1,active(X2)) -> zWadr#(X1,X2) zWadr#(X1,mark(X2)) -> zWadr#(X1,X2) -> zWadr#(active(X1),X2) -> zWadr#(X1,X2) zWadr#(X1,mark(X2)) -> zWadr#(X1,X2) -> zWadr#(X1,mark(X2)) -> zWadr#(X1,X2) zWadr#(X1,mark(X2)) -> zWadr#(X1,X2) -> zWadr#(mark(X1),X2) -> zWadr#(X1,X2) zWadr#(X1,active(X2)) -> zWadr#(X1,X2) -> zWadr#(X1,active(X2)) -> zWadr#(X1,X2) zWadr#(X1,active(X2)) -> zWadr#(X1,X2) -> zWadr#(active(X1),X2) -> zWadr#(X1,X2) zWadr#(X1,active(X2)) -> zWadr#(X1,X2) -> zWadr#(X1,mark(X2)) -> zWadr#(X1,X2) zWadr#(X1,active(X2)) -> zWadr#(X1,X2) -> zWadr#(mark(X1),X2) -> zWadr#(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) app#(mark(X1),X2) -> app#(X1,X2) -> app#(X1,active(X2)) -> app#(X1,X2) app#(mark(X1),X2) -> app#(X1,X2) -> app#(active(X1),X2) -> app#(X1,X2) app#(mark(X1),X2) -> app#(X1,X2) -> app#(X1,mark(X2)) -> app#(X1,X2) app#(mark(X1),X2) -> app#(X1,X2) -> app#(mark(X1),X2) -> app#(X1,X2) app#(active(X1),X2) -> app#(X1,X2) -> app#(X1,active(X2)) -> app#(X1,X2) app#(active(X1),X2) -> app#(X1,X2) -> app#(active(X1),X2) -> app#(X1,X2) app#(active(X1),X2) -> app#(X1,X2) -> app#(X1,mark(X2)) -> app#(X1,X2) app#(active(X1),X2) -> app#(X1,X2) -> app#(mark(X1),X2) -> app#(X1,X2) app#(X1,mark(X2)) -> app#(X1,X2) -> app#(X1,active(X2)) -> app#(X1,X2) app#(X1,mark(X2)) -> app#(X1,X2) -> app#(active(X1),X2) -> app#(X1,X2) app#(X1,mark(X2)) -> app#(X1,X2) -> app#(X1,mark(X2)) -> app#(X1,X2) app#(X1,mark(X2)) -> app#(X1,X2) -> app#(mark(X1),X2) -> app#(X1,X2) app#(X1,active(X2)) -> app#(X1,X2) -> app#(X1,active(X2)) -> app#(X1,X2) app#(X1,active(X2)) -> app#(X1,X2) -> app#(active(X1),X2) -> app#(X1,X2) app#(X1,active(X2)) -> app#(X1,X2) -> app#(X1,mark(X2)) -> app#(X1,X2) app#(X1,active(X2)) -> app#(X1,X2) -> app#(mark(X1),X2) -> app#(X1,X2) mark#(prefix(X)) -> prefix#(mark(X)) -> prefix#(active(X)) -> prefix#(X) mark#(prefix(X)) -> prefix#(mark(X)) -> prefix#(mark(X)) -> prefix#(X) mark#(prefix(X)) -> mark#(X) -> mark#(prefix(X)) -> active#(prefix(mark(X))) mark#(prefix(X)) -> mark#(X) -> mark#(prefix(X)) -> prefix#(mark(X)) mark#(prefix(X)) -> mark#(X) -> mark#(prefix(X)) -> mark#(X) mark#(prefix(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(prefix(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) mark#(prefix(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(prefix(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(prefix(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(mark(X))) mark#(prefix(X)) -> mark#(X) -> mark#(s(X)) -> s#(mark(X)) mark#(prefix(X)) -> mark#(X) -> mark#(s(X)) -> mark#(X) mark#(prefix(X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) mark#(prefix(X)) -> mark#(X) -> mark#(from(X)) -> from#(mark(X)) mark#(prefix(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(prefix(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(prefix(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(prefix(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(prefix(X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) mark#(prefix(X)) -> mark#(X) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) mark#(prefix(X)) -> mark#(X) -> mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) mark#(prefix(X)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X1) mark#(prefix(X)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X2) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(prefix(L)) -> cons#(nil(),zWadr(L,prefix(L))) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(prefix(L)) -> zWadr#(L,prefix(L)) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(app(Y,cons(X,nil())),zWadr(XS,YS)) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> app#(Y,cons(X,nil())) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(X,nil()) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> zWadr#(XS,YS) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(zWadr(XS,nil())) -> mark#(nil()) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(zWadr(nil(),YS)) -> mark#(nil()) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(from(X)) -> from#(s(X)) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(from(X)) -> s#(X) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(app(cons(X,XS),YS)) -> cons#(X,app(XS,YS)) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(app(cons(X,XS),YS)) -> app#(XS,YS) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(app(nil(),YS)) -> mark#(YS) mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) -> zWadr#(X1,active(X2)) -> zWadr#(X1,X2) mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) -> zWadr#(active(X1),X2) -> zWadr#(X1,X2) mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) -> zWadr#(X1,mark(X2)) -> zWadr#(X1,X2) mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) -> zWadr#(mark(X1),X2) -> zWadr#(X1,X2) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(prefix(X)) -> active#(prefix(mark(X))) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(prefix(X)) -> prefix#(mark(X)) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(prefix(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(mark(X))) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> s#(mark(X)) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> from#(mark(X)) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> mark#(X2) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> active#(prefix(mark(X))) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> prefix#(mark(X)) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> s#(mark(X)) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> from#(mark(X)) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> mark#(X2) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(prefix(L)) -> cons#(nil(),zWadr(L,prefix(L))) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(prefix(L)) -> zWadr#(L,prefix(L)) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(app(Y,cons(X,nil())),zWadr(XS,YS)) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> app#(Y,cons(X,nil())) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(X,nil()) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> zWadr#(XS,YS) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(zWadr(XS,nil())) -> mark#(nil()) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(zWadr(nil(),YS)) -> mark#(nil()) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(from(X)) -> from#(s(X)) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(from(X)) -> s#(X) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(app(cons(X,XS),YS)) -> cons#(X,app(XS,YS)) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(app(cons(X,XS),YS)) -> app#(XS,YS) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(app(nil(),YS)) -> mark#(YS) mark#(s(X)) -> s#(mark(X)) -> s#(active(X)) -> s#(X) mark#(s(X)) -> s#(mark(X)) -> s#(mark(X)) -> s#(X) mark#(s(X)) -> mark#(X) -> mark#(prefix(X)) -> active#(prefix(mark(X))) mark#(s(X)) -> mark#(X) -> mark#(prefix(X)) -> prefix#(mark(X)) mark#(s(X)) -> mark#(X) -> mark#(prefix(X)) -> mark#(X) mark#(s(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(s(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) mark#(s(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(mark(X))) mark#(s(X)) -> mark#(X) -> mark#(s(X)) -> s#(mark(X)) mark#(s(X)) -> mark#(X) -> mark#(s(X)) -> mark#(X) mark#(s(X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) mark#(s(X)) -> mark#(X) -> mark#(from(X)) -> from#(mark(X)) mark#(s(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(s(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(s(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(s(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) mark#(s(X)) -> mark#(X) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) mark#(s(X)) -> mark#(X) -> mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) mark#(s(X)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X2) mark#(s(X)) -> active#(s(mark(X))) -> active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) mark#(s(X)) -> active#(s(mark(X))) -> active#(prefix(L)) -> cons#(nil(),zWadr(L,prefix(L))) mark#(s(X)) -> active#(s(mark(X))) -> active#(prefix(L)) -> zWadr#(L,prefix(L)) mark#(s(X)) -> active#(s(mark(X))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) mark#(s(X)) -> active#(s(mark(X))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(app(Y,cons(X,nil())),zWadr(XS,YS)) mark#(s(X)) -> active#(s(mark(X))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> app#(Y,cons(X,nil())) mark#(s(X)) -> active#(s(mark(X))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(X,nil()) mark#(s(X)) -> active#(s(mark(X))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> zWadr#(XS,YS) mark#(s(X)) -> active#(s(mark(X))) -> active#(zWadr(XS,nil())) -> mark#(nil()) mark#(s(X)) -> active#(s(mark(X))) -> active#(zWadr(nil(),YS)) -> mark#(nil()) mark#(s(X)) -> active#(s(mark(X))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(s(X)) -> active#(s(mark(X))) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(s(X)) -> active#(s(mark(X))) -> active#(from(X)) -> from#(s(X)) mark#(s(X)) -> active#(s(mark(X))) -> active#(from(X)) -> s#(X) mark#(s(X)) -> active#(s(mark(X))) -> active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) mark#(s(X)) -> active#(s(mark(X))) -> active#(app(cons(X,XS),YS)) -> cons#(X,app(XS,YS)) mark#(s(X)) -> active#(s(mark(X))) -> active#(app(cons(X,XS),YS)) -> app#(XS,YS) mark#(s(X)) -> active#(s(mark(X))) -> active#(app(nil(),YS)) -> mark#(YS) 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#(prefix(X)) -> active#(prefix(mark(X))) mark#(from(X)) -> mark#(X) -> mark#(prefix(X)) -> prefix#(mark(X)) mark#(from(X)) -> mark#(X) -> mark#(prefix(X)) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) mark#(from(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(mark(X))) mark#(from(X)) -> mark#(X) -> mark#(s(X)) -> s#(mark(X)) mark#(from(X)) -> mark#(X) -> mark#(s(X)) -> mark#(X) 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#(nil()) -> active#(nil()) mark#(from(X)) -> mark#(X) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) mark#(from(X)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X2) mark#(from(X)) -> active#(from(mark(X))) -> active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) mark#(from(X)) -> active#(from(mark(X))) -> active#(prefix(L)) -> cons#(nil(),zWadr(L,prefix(L))) mark#(from(X)) -> active#(from(mark(X))) -> active#(prefix(L)) -> zWadr#(L,prefix(L)) mark#(from(X)) -> active#(from(mark(X))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) mark#(from(X)) -> active#(from(mark(X))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(app(Y,cons(X,nil())),zWadr(XS,YS)) mark#(from(X)) -> active#(from(mark(X))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> app#(Y,cons(X,nil())) mark#(from(X)) -> active#(from(mark(X))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(X,nil()) mark#(from(X)) -> active#(from(mark(X))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> zWadr#(XS,YS) mark#(from(X)) -> active#(from(mark(X))) -> active#(zWadr(XS,nil())) -> mark#(nil()) mark#(from(X)) -> active#(from(mark(X))) -> active#(zWadr(nil(),YS)) -> mark#(nil()) 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#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) mark#(from(X)) -> active#(from(mark(X))) -> active#(app(cons(X,XS),YS)) -> cons#(X,app(XS,YS)) mark#(from(X)) -> active#(from(mark(X))) -> active#(app(cons(X,XS),YS)) -> app#(XS,YS) mark#(from(X)) -> active#(from(mark(X))) -> active#(app(nil(),YS)) -> mark#(YS) 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#(prefix(X)) -> active#(prefix(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> prefix#(mark(X)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> s#(mark(X)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) 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#(nil()) -> active#(nil()) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(prefix(L)) -> cons#(nil(),zWadr(L,prefix(L))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(prefix(L)) -> zWadr#(L,prefix(L)) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(app(Y,cons(X,nil())),zWadr(XS,YS)) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> app#(Y,cons(X,nil())) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(X,nil()) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> zWadr#(XS,YS) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(zWadr(XS,nil())) -> mark#(nil()) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(zWadr(nil(),YS)) -> mark#(nil()) 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#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(app(cons(X,XS),YS)) -> cons#(X,app(XS,YS)) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(app(cons(X,XS),YS)) -> app#(XS,YS) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(app(nil(),YS)) -> mark#(YS) mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) -> app#(X1,active(X2)) -> app#(X1,X2) mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) -> app#(active(X1),X2) -> app#(X1,X2) mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) -> app#(X1,mark(X2)) -> app#(X1,X2) mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) -> app#(mark(X1),X2) -> app#(X1,X2) mark#(app(X1,X2)) -> mark#(X2) -> mark#(prefix(X)) -> active#(prefix(mark(X))) mark#(app(X1,X2)) -> mark#(X2) -> mark#(prefix(X)) -> prefix#(mark(X)) mark#(app(X1,X2)) -> mark#(X2) -> mark#(prefix(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(app(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) mark#(app(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(app(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(mark(X))) mark#(app(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> s#(mark(X)) mark#(app(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(app(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> from#(mark(X)) mark#(app(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(app(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(app(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(app(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) mark#(app(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) mark#(app(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> mark#(X2) mark#(app(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> active#(prefix(mark(X))) mark#(app(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> prefix#(mark(X)) mark#(app(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(app(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) mark#(app(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(app(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(app(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> s#(mark(X)) mark#(app(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(app(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> from#(mark(X)) mark#(app(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(app(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(app(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(app(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) mark#(app(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) mark#(app(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> mark#(X2) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(prefix(L)) -> cons#(nil(),zWadr(L,prefix(L))) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(prefix(L)) -> zWadr#(L,prefix(L)) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(app(Y,cons(X,nil())),zWadr(XS,YS)) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> app#(Y,cons(X,nil())) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(X,nil()) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> zWadr#(XS,YS) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(zWadr(XS,nil())) -> mark#(nil()) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(zWadr(nil(),YS)) -> mark#(nil()) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(from(X)) -> from#(s(X)) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(from(X)) -> s#(X) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(app(cons(X,XS),YS)) -> cons#(X,app(XS,YS)) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(app(cons(X,XS),YS)) -> app#(XS,YS) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(app(nil(),YS)) -> mark#(YS) mark#(nil()) -> active#(nil()) -> active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) mark#(nil()) -> active#(nil()) -> active#(prefix(L)) -> cons#(nil(),zWadr(L,prefix(L))) mark#(nil()) -> active#(nil()) -> active#(prefix(L)) -> zWadr#(L,prefix(L)) mark#(nil()) -> active#(nil()) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) mark#(nil()) -> active#(nil()) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(app(Y,cons(X,nil())),zWadr(XS,YS)) mark#(nil()) -> active#(nil()) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> app#(Y,cons(X,nil())) mark#(nil()) -> active#(nil()) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(X,nil()) mark#(nil()) -> active#(nil()) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> zWadr#(XS,YS) mark#(nil()) -> active#(nil()) -> active#(zWadr(XS,nil())) -> mark#(nil()) mark#(nil()) -> active#(nil()) -> active#(zWadr(nil(),YS)) -> mark#(nil()) 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#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) mark#(nil()) -> active#(nil()) -> active#(app(cons(X,XS),YS)) -> cons#(X,app(XS,YS)) mark#(nil()) -> active#(nil()) -> active#(app(cons(X,XS),YS)) -> app#(XS,YS) mark#(nil()) -> active#(nil()) -> active#(app(nil(),YS)) -> mark#(YS) active#(prefix(L)) -> zWadr#(L,prefix(L)) -> zWadr#(X1,active(X2)) -> zWadr#(X1,X2) active#(prefix(L)) -> zWadr#(L,prefix(L)) -> zWadr#(active(X1),X2) -> zWadr#(X1,X2) active#(prefix(L)) -> zWadr#(L,prefix(L)) -> zWadr#(X1,mark(X2)) -> zWadr#(X1,X2) active#(prefix(L)) -> zWadr#(L,prefix(L)) -> zWadr#(mark(X1),X2) -> zWadr#(X1,X2) active#(prefix(L)) -> cons#(nil(),zWadr(L,prefix(L))) -> cons#(X1,active(X2)) -> cons#(X1,X2) active#(prefix(L)) -> cons#(nil(),zWadr(L,prefix(L))) -> cons#(active(X1),X2) -> cons#(X1,X2) active#(prefix(L)) -> cons#(nil(),zWadr(L,prefix(L))) -> cons#(X1,mark(X2)) -> cons#(X1,X2) active#(prefix(L)) -> cons#(nil(),zWadr(L,prefix(L))) -> cons#(mark(X1),X2) -> cons#(X1,X2) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(prefix(X)) -> active#(prefix(mark(X))) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(prefix(X)) -> prefix#(mark(X)) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(prefix(X)) -> mark#(X) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(zWadr(X1,X2)) -> mark#(X1) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(zWadr(X1,X2)) -> mark#(X2) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(s(X)) -> active#(s(mark(X))) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(s(X)) -> s#(mark(X)) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(s(X)) -> mark#(X) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(from(X)) -> active#(from(mark(X))) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(from(X)) -> from#(mark(X)) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(from(X)) -> mark#(X) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(nil()) -> active#(nil()) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(app(X1,X2)) -> mark#(X1) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(app(X1,X2)) -> mark#(X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> zWadr#(XS,YS) -> zWadr#(X1,active(X2)) -> zWadr#(X1,X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> zWadr#(XS,YS) -> zWadr#(active(X1),X2) -> zWadr#(X1,X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> zWadr#(XS,YS) -> zWadr#(X1,mark(X2)) -> zWadr#(X1,X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> zWadr#(XS,YS) -> zWadr#(mark(X1),X2) -> zWadr#(X1,X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(app(Y,cons(X,nil())),zWadr(XS,YS)) -> cons#(X1,active(X2)) -> cons#(X1,X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(app(Y,cons(X,nil())),zWadr(XS,YS)) -> cons#(active(X1),X2) -> cons#(X1,X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(app(Y,cons(X,nil())),zWadr(XS,YS)) -> cons#(X1,mark(X2)) -> cons#(X1,X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(app(Y,cons(X,nil())),zWadr(XS,YS)) -> cons#(mark(X1),X2) -> cons#(X1,X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(X,nil()) -> cons#(X1,active(X2)) -> cons#(X1,X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(X,nil()) -> cons#(active(X1),X2) -> cons#(X1,X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(X,nil()) -> cons#(X1,mark(X2)) -> cons#(X1,X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> cons#(X,nil()) -> cons#(mark(X1),X2) -> cons#(X1,X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> app#(Y,cons(X,nil())) -> app#(X1,active(X2)) -> app#(X1,X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> app#(Y,cons(X,nil())) -> app#(active(X1),X2) -> app#(X1,X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> app#(Y,cons(X,nil())) -> app#(X1,mark(X2)) -> app#(X1,X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> app#(Y,cons(X,nil())) -> app#(mark(X1),X2) -> app#(X1,X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(prefix(X)) -> active#(prefix(mark(X))) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(prefix(X)) -> prefix#(mark(X)) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(prefix(X)) -> mark#(X) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(zWadr(X1,X2)) -> mark#(X1) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(zWadr(X1,X2)) -> mark#(X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(s(X)) -> active#(s(mark(X))) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(s(X)) -> s#(mark(X)) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(s(X)) -> mark#(X) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(from(X)) -> active#(from(mark(X))) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(from(X)) -> from#(mark(X)) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(from(X)) -> mark#(X) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(nil()) -> active#(nil()) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(app(X1,X2)) -> mark#(X1) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(app(X1,X2)) -> mark#(X2) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(prefix(X)) -> active#(prefix(mark(X))) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(prefix(X)) -> prefix#(mark(X)) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(prefix(X)) -> mark#(X) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(zWadr(X1,X2)) -> mark#(X1) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(zWadr(X1,X2)) -> mark#(X2) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(s(X)) -> active#(s(mark(X))) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(s(X)) -> s#(mark(X)) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(s(X)) -> mark#(X) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(from(X)) -> active#(from(mark(X))) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(from(X)) -> from#(mark(X)) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(from(X)) -> mark#(X) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(cons(X1,X2)) -> mark#(X1) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(nil()) -> active#(nil()) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(app(X1,X2)) -> mark#(X1) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(app(X1,X2)) -> mark#(X2) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(prefix(X)) -> active#(prefix(mark(X))) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(prefix(X)) -> prefix#(mark(X)) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(prefix(X)) -> mark#(X) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(zWadr(X1,X2)) -> mark#(X1) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(zWadr(X1,X2)) -> mark#(X2) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(s(X)) -> active#(s(mark(X))) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(s(X)) -> s#(mark(X)) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(s(X)) -> mark#(X) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(from(X)) -> active#(from(mark(X))) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(from(X)) -> from#(mark(X)) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(from(X)) -> mark#(X) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(cons(X1,X2)) -> mark#(X1) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(nil()) -> active#(nil()) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(app(X1,X2)) -> mark#(X1) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(app(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#(prefix(X)) -> active#(prefix(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(prefix(X)) -> prefix#(mark(X)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(prefix(X)) -> mark#(X) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(zWadr(X1,X2)) -> mark#(X1) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(zWadr(X1,X2)) -> mark#(X2) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(s(X)) -> active#(s(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(s(X)) -> s#(mark(X)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(s(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#(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#(nil()) -> active#(nil()) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(app(X1,X2)) -> mark#(X1) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(app(X1,X2)) -> mark#(X2) active#(app(cons(X,XS),YS)) -> cons#(X,app(XS,YS)) -> cons#(X1,active(X2)) -> cons#(X1,X2) active#(app(cons(X,XS),YS)) -> cons#(X,app(XS,YS)) -> cons#(active(X1),X2) -> cons#(X1,X2) active#(app(cons(X,XS),YS)) -> cons#(X,app(XS,YS)) -> cons#(X1,mark(X2)) -> cons#(X1,X2) active#(app(cons(X,XS),YS)) -> cons#(X,app(XS,YS)) -> cons#(mark(X1),X2) -> cons#(X1,X2) active#(app(cons(X,XS),YS)) -> app#(XS,YS) -> app#(X1,active(X2)) -> app#(X1,X2) active#(app(cons(X,XS),YS)) -> app#(XS,YS) -> app#(active(X1),X2) -> app#(X1,X2) active#(app(cons(X,XS),YS)) -> app#(XS,YS) -> app#(X1,mark(X2)) -> app#(X1,X2) active#(app(cons(X,XS),YS)) -> app#(XS,YS) -> app#(mark(X1),X2) -> app#(X1,X2) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(prefix(X)) -> active#(prefix(mark(X))) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(prefix(X)) -> prefix#(mark(X)) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(prefix(X)) -> mark#(X) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(zWadr(X1,X2)) -> mark#(X1) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(zWadr(X1,X2)) -> mark#(X2) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(s(X)) -> active#(s(mark(X))) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(s(X)) -> s#(mark(X)) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(s(X)) -> mark#(X) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(from(X)) -> active#(from(mark(X))) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(from(X)) -> from#(mark(X)) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(from(X)) -> mark#(X) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(nil()) -> active#(nil()) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(app(X1,X2)) -> mark#(X1) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(app(X1,X2)) -> mark#(X2) active#(app(nil(),YS)) -> mark#(YS) -> mark#(prefix(X)) -> active#(prefix(mark(X))) active#(app(nil(),YS)) -> mark#(YS) -> mark#(prefix(X)) -> prefix#(mark(X)) active#(app(nil(),YS)) -> mark#(YS) -> mark#(prefix(X)) -> mark#(X) active#(app(nil(),YS)) -> mark#(YS) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) active#(app(nil(),YS)) -> mark#(YS) -> mark#(zWadr(X1,X2)) -> zWadr#(mark(X1),mark(X2)) active#(app(nil(),YS)) -> mark#(YS) -> mark#(zWadr(X1,X2)) -> mark#(X1) active#(app(nil(),YS)) -> mark#(YS) -> mark#(zWadr(X1,X2)) -> mark#(X2) active#(app(nil(),YS)) -> mark#(YS) -> mark#(s(X)) -> active#(s(mark(X))) active#(app(nil(),YS)) -> mark#(YS) -> mark#(s(X)) -> s#(mark(X)) active#(app(nil(),YS)) -> mark#(YS) -> mark#(s(X)) -> mark#(X) active#(app(nil(),YS)) -> mark#(YS) -> mark#(from(X)) -> active#(from(mark(X))) active#(app(nil(),YS)) -> mark#(YS) -> mark#(from(X)) -> from#(mark(X)) active#(app(nil(),YS)) -> mark#(YS) -> mark#(from(X)) -> mark#(X) active#(app(nil(),YS)) -> mark#(YS) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(app(nil(),YS)) -> mark#(YS) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(app(nil(),YS)) -> mark#(YS) -> mark#(cons(X1,X2)) -> mark#(X1) active#(app(nil(),YS)) -> mark#(YS) -> mark#(nil()) -> active#(nil()) active#(app(nil(),YS)) -> mark#(YS) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) active#(app(nil(),YS)) -> mark#(YS) -> mark#(app(X1,X2)) -> app#(mark(X1),mark(X2)) active#(app(nil(),YS)) -> mark#(YS) -> mark#(app(X1,X2)) -> mark#(X1) active#(app(nil(),YS)) -> mark#(YS) -> mark#(app(X1,X2)) -> mark#(X2) SCC Processor: #sccs: 7 #rules: 40 #arcs: 559/3249 DPs: mark#(prefix(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X2) mark#(app(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) active#(app(nil(),YS)) -> mark#(YS) mark#(nil()) -> active#(nil()) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(from(X)) -> mark#(X) mark#(from(X)) -> active#(from(mark(X))) active#(zWadr(nil(),YS)) -> mark#(nil()) mark#(s(X)) -> mark#(X) mark#(s(X)) -> active#(s(mark(X))) active#(zWadr(XS,nil())) -> mark#(nil()) mark#(zWadr(X1,X2)) -> mark#(X2) mark#(zWadr(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) mark#(prefix(X)) -> active#(prefix(mark(X))) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) EDG Processor: DPs: mark#(prefix(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X2) mark#(app(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) active#(app(nil(),YS)) -> mark#(YS) mark#(nil()) -> active#(nil()) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(from(X)) -> mark#(X) mark#(from(X)) -> active#(from(mark(X))) active#(zWadr(nil(),YS)) -> mark#(nil()) mark#(s(X)) -> mark#(X) mark#(s(X)) -> active#(s(mark(X))) active#(zWadr(XS,nil())) -> mark#(nil()) mark#(zWadr(X1,X2)) -> mark#(X2) mark#(zWadr(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) mark#(prefix(X)) -> active#(prefix(mark(X))) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) graph: mark#(prefix(X)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X2) mark#(prefix(X)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X1) mark#(prefix(X)) -> mark#(X) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) mark#(prefix(X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) mark#(prefix(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(prefix(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(prefix(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(prefix(X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) mark#(prefix(X)) -> mark#(X) -> mark#(s(X)) -> mark#(X) mark#(prefix(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(mark(X))) mark#(prefix(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(prefix(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(prefix(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(prefix(X)) -> mark#(X) -> mark#(prefix(X)) -> mark#(X) mark#(prefix(X)) -> mark#(X) -> mark#(prefix(X)) -> active#(prefix(mark(X))) mark#(prefix(X)) -> active#(prefix(mark(X))) -> active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> mark#(X2) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(mark(X))) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(prefix(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(prefix(X)) -> active#(prefix(mark(X))) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> mark#(X2) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> active#(prefix(mark(X))) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(zWadr(nil(),YS)) -> mark#(nil()) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(zWadr(XS,nil())) -> mark#(nil()) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) -> active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) mark#(s(X)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) mark#(s(X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) mark#(s(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(s(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(s(X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) mark#(s(X)) -> mark#(X) -> mark#(s(X)) -> mark#(X) mark#(s(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(mark(X))) mark#(s(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(s(X)) -> mark#(X) -> mark#(prefix(X)) -> mark#(X) mark#(s(X)) -> mark#(X) -> mark#(prefix(X)) -> active#(prefix(mark(X))) mark#(from(X)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) 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#(s(X)) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(mark(X))) mark#(from(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(prefix(X)) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(prefix(X)) -> active#(prefix(mark(X))) mark#(from(X)) -> active#(from(mark(X))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) 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#(s(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> active#(prefix(mark(X))) mark#(app(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> mark#(X2) mark#(app(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) mark#(app(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(app(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(app(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(app(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(mark(X))) mark#(app(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(app(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(app(X1,X2)) -> mark#(X2) -> mark#(prefix(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X2) -> mark#(prefix(X)) -> active#(prefix(mark(X))) mark#(app(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> mark#(X2) mark#(app(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) mark#(app(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(app(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(app(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(app(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(app(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(app(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(app(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> active#(prefix(mark(X))) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(app(nil(),YS)) -> mark#(YS) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) -> active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(zWadr(nil(),YS)) -> mark#(nil()) -> mark#(nil()) -> active#(nil()) active#(zWadr(XS,nil())) -> mark#(nil()) -> mark#(nil()) -> active#(nil()) 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#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(app(nil(),YS)) -> mark#(YS) -> mark#(app(X1,X2)) -> mark#(X2) active#(app(nil(),YS)) -> mark#(YS) -> mark#(app(X1,X2)) -> mark#(X1) active#(app(nil(),YS)) -> mark#(YS) -> mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) active#(app(nil(),YS)) -> mark#(YS) -> mark#(nil()) -> active#(nil()) active#(app(nil(),YS)) -> mark#(YS) -> mark#(cons(X1,X2)) -> mark#(X1) active#(app(nil(),YS)) -> mark#(YS) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(app(nil(),YS)) -> mark#(YS) -> mark#(from(X)) -> mark#(X) active#(app(nil(),YS)) -> mark#(YS) -> mark#(from(X)) -> active#(from(mark(X))) active#(app(nil(),YS)) -> mark#(YS) -> mark#(s(X)) -> mark#(X) active#(app(nil(),YS)) -> mark#(YS) -> mark#(s(X)) -> active#(s(mark(X))) active#(app(nil(),YS)) -> mark#(YS) -> mark#(zWadr(X1,X2)) -> mark#(X2) active#(app(nil(),YS)) -> mark#(YS) -> mark#(zWadr(X1,X2)) -> mark#(X1) active#(app(nil(),YS)) -> mark#(YS) -> mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) active#(app(nil(),YS)) -> mark#(YS) -> mark#(prefix(X)) -> mark#(X) active#(app(nil(),YS)) -> mark#(YS) -> mark#(prefix(X)) -> active#(prefix(mark(X))) SCC Processor: #sccs: 1 #rules: 17 #arcs: 152/484 DPs: mark#(prefix(X)) -> mark#(X) mark#(prefix(X)) -> active#(prefix(mark(X))) active#(prefix(L)) -> mark#(cons(nil(),zWadr(L,prefix(L)))) mark#(cons(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) active#(zWadr(cons(X,XS),cons(Y,YS))) -> mark#(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) mark#(zWadr(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) mark#(from(X)) -> active#(from(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(from(X)) -> mark#(X) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) active#(app(cons(X,XS),YS)) -> mark#(cons(X,app(XS,YS))) active#(app(nil(),YS)) -> mark#(YS) mark#(app(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X2) TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) KBO Processor: argument filtering: pi(nil) = [] pi(app) = [0,1] pi(active) = 0 pi(mark) = 0 pi(cons) = 0 pi(from) = [0] pi(s) = [0] pi(zWadr) = [0,1] pi(prefix) = [0] pi(active#) = 0 pi(mark#) = 0 usable rules: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) weight function: w0 = 1 w(prefix) = w(s) = w(from) = w(nil) = 1 w(mark#) = w(active#) = w(zWadr) = w(cons) = w(mark) = w(active) = w( app) = 0 precedence: zWadr > mark# ~ active# ~ prefix ~ s ~ from ~ cons ~ mark ~ active ~ app ~ nil problem: DPs: mark#(prefix(X)) -> active#(prefix(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(from(X)) -> active#(from(mark(X))) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) Restore Modifier: DPs: mark#(prefix(X)) -> active#(prefix(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> active#(zWadr(mark(X1),mark(X2))) mark#(from(X)) -> active#(from(mark(X))) mark#(app(X1,X2)) -> active#(app(mark(X1),mark(X2))) TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) SCC Processor: #sccs: 1 #rules: 1 #arcs: 117/25 DPs: mark#(cons(X1,X2)) -> mark#(X1) TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) Size-Change Termination Processor: DPs: TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) The DP: mark#(cons(X1,X2)) -> mark#(X1) has the edges: 0 > 0 Qed DPs: app#(mark(X1),X2) -> app#(X1,X2) app#(X1,mark(X2)) -> app#(X1,X2) app#(active(X1),X2) -> app#(X1,X2) app#(X1,active(X2)) -> app#(X1,X2) TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) Subterm Criterion Processor: simple projection: pi(app#) = 0 problem: DPs: app#(X1,mark(X2)) -> app#(X1,X2) app#(X1,active(X2)) -> app#(X1,X2) TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) Subterm Criterion Processor: simple projection: pi(app#) = 1 problem: DPs: TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(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(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) Subterm Criterion Processor: simple projection: pi(cons#) = 0 problem: DPs: cons#(X1,mark(X2)) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) Subterm Criterion Processor: simple projection: pi(cons#) = 1 problem: DPs: TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) Qed DPs: s#(mark(X)) -> s#(X) s#(active(X)) -> s#(X) TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) Subterm Criterion Processor: simple projection: pi(s#) = 0 problem: DPs: TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) Qed DPs: from#(mark(X)) -> from#(X) from#(active(X)) -> from#(X) TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) Subterm Criterion Processor: simple projection: pi(from#) = 0 problem: DPs: TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) Qed DPs: zWadr#(mark(X1),X2) -> zWadr#(X1,X2) zWadr#(X1,mark(X2)) -> zWadr#(X1,X2) zWadr#(active(X1),X2) -> zWadr#(X1,X2) zWadr#(X1,active(X2)) -> zWadr#(X1,X2) TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) Subterm Criterion Processor: simple projection: pi(zWadr#) = 0 problem: DPs: zWadr#(X1,mark(X2)) -> zWadr#(X1,X2) zWadr#(X1,active(X2)) -> zWadr#(X1,X2) TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) Subterm Criterion Processor: simple projection: pi(zWadr#) = 1 problem: DPs: TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) Qed DPs: prefix#(mark(X)) -> prefix#(X) prefix#(active(X)) -> prefix#(X) TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) Subterm Criterion Processor: simple projection: pi(prefix#) = 0 problem: DPs: TRS: active(app(nil(),YS)) -> mark(YS) active(app(cons(X,XS),YS)) -> mark(cons(X,app(XS,YS))) active(from(X)) -> mark(cons(X,from(s(X)))) active(zWadr(nil(),YS)) -> mark(nil()) active(zWadr(XS,nil())) -> mark(nil()) active(zWadr(cons(X,XS),cons(Y,YS))) -> mark(cons(app(Y,cons(X,nil())),zWadr(XS,YS))) active(prefix(L)) -> mark(cons(nil(),zWadr(L,prefix(L)))) mark(app(X1,X2)) -> active(app(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(from(X)) -> active(from(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(zWadr(X1,X2)) -> active(zWadr(mark(X1),mark(X2))) mark(prefix(X)) -> active(prefix(mark(X))) app(mark(X1),X2) -> app(X1,X2) app(X1,mark(X2)) -> app(X1,X2) app(active(X1),X2) -> app(X1,X2) app(X1,active(X2)) -> app(X1,X2) 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) s(mark(X)) -> s(X) s(active(X)) -> s(X) zWadr(mark(X1),X2) -> zWadr(X1,X2) zWadr(X1,mark(X2)) -> zWadr(X1,X2) zWadr(active(X1),X2) -> zWadr(X1,X2) zWadr(X1,active(X2)) -> zWadr(X1,X2) prefix(mark(X)) -> prefix(X) prefix(active(X)) -> prefix(X) Qed