/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO Problem 1: (VAR L X X1 X2 XS Y YS) (RULES activate(n__app(X1,X2)) -> app(X1,X2) activate(n__from(X)) -> from(X) activate(n__nil) -> nil activate(n__zWadr(X1,X2)) -> zWadr(X1,X2) activate(X) -> X app(nil,YS) -> YS app(cons(X,XS),YS) -> cons(X,n__app(activate(XS),YS)) app(X1,X2) -> n__app(X1,X2) from(X) -> cons(X,n__from(s(X))) from(X) -> n__from(X) nil -> n__nil prefix(L) -> cons(nil,n__zWadr(L,prefix(L))) zWadr(nil,YS) -> nil zWadr(cons(X,XS),cons(Y,YS)) -> cons(app(Y,cons(X,n__nil)),n__zWadr(activate(XS),activate(YS))) zWadr(X1,X2) -> n__zWadr(X1,X2) zWadr(XS,nil) -> nil ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVATE(n__app(X1,X2)) -> APP(X1,X2) ACTIVATE(n__from(X)) -> FROM(X) ACTIVATE(n__nil) -> NIL ACTIVATE(n__zWadr(X1,X2)) -> ZWADR(X1,X2) APP(cons(X,XS),YS) -> ACTIVATE(XS) PREFIX(L) -> NIL PREFIX(L) -> PREFIX(L) ZWADR(cons(X,XS),cons(Y,YS)) -> ACTIVATE(XS) ZWADR(cons(X,XS),cons(Y,YS)) -> ACTIVATE(YS) ZWADR(cons(X,XS),cons(Y,YS)) -> APP(Y,cons(X,n__nil)) -> Rules: activate(n__app(X1,X2)) -> app(X1,X2) activate(n__from(X)) -> from(X) activate(n__nil) -> nil activate(n__zWadr(X1,X2)) -> zWadr(X1,X2) activate(X) -> X app(nil,YS) -> YS app(cons(X,XS),YS) -> cons(X,n__app(activate(XS),YS)) app(X1,X2) -> n__app(X1,X2) from(X) -> cons(X,n__from(s(X))) from(X) -> n__from(X) nil -> n__nil prefix(L) -> cons(nil,n__zWadr(L,prefix(L))) zWadr(nil,YS) -> nil zWadr(cons(X,XS),cons(Y,YS)) -> cons(app(Y,cons(X,n__nil)),n__zWadr(activate(XS),activate(YS))) zWadr(X1,X2) -> n__zWadr(X1,X2) zWadr(XS,nil) -> nil Problem 1: Infinite Processor: -> Pairs: ACTIVATE(n__app(X1,X2)) -> APP(X1,X2) ACTIVATE(n__from(X)) -> FROM(X) ACTIVATE(n__nil) -> NIL ACTIVATE(n__zWadr(X1,X2)) -> ZWADR(X1,X2) APP(cons(X,XS),YS) -> ACTIVATE(XS) PREFIX(L) -> NIL PREFIX(L) -> PREFIX(L) ZWADR(cons(X,XS),cons(Y,YS)) -> ACTIVATE(XS) ZWADR(cons(X,XS),cons(Y,YS)) -> ACTIVATE(YS) ZWADR(cons(X,XS),cons(Y,YS)) -> APP(Y,cons(X,n__nil)) -> Rules: activate(n__app(X1,X2)) -> app(X1,X2) activate(n__from(X)) -> from(X) activate(n__nil) -> nil activate(n__zWadr(X1,X2)) -> zWadr(X1,X2) activate(X) -> X app(nil,YS) -> YS app(cons(X,XS),YS) -> cons(X,n__app(activate(XS),YS)) app(X1,X2) -> n__app(X1,X2) from(X) -> cons(X,n__from(s(X))) from(X) -> n__from(X) nil -> n__nil prefix(L) -> cons(nil,n__zWadr(L,prefix(L))) zWadr(nil,YS) -> nil zWadr(cons(X,XS),cons(Y,YS)) -> cons(app(Y,cons(X,n__nil)),n__zWadr(activate(XS),activate(YS))) zWadr(X1,X2) -> n__zWadr(X1,X2) zWadr(XS,nil) -> nil -> Pairs in cycle: PREFIX(L) -> PREFIX(L) The problem is infinite.