/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES ******** General Schema criterion ******** Found constructors: cons, nil Checking type order >>OK Checking positivity of constructors >>OK Checking function dependency >>OK Checking (1) foldr(%Y.%X.F[%Y,%X],Y,nil) => Y (meta Y)[is acc in %Y.%X.F[%Y,%X],Y,nil] [is acc in Y] >>True Checking (2) foldr(%U.%Z.G[%U,%Z],V,cons(W,P)) => G[W,foldr(%W.%V.G[%W,%V],V,P)] (meta G)[is acc in %U.%Z.G[%U,%Z],V,cons(W,P)] [is acc in G[%U,%Z]] (meta W)[is acc in %U.%Z.G[%U,%Z],V,cons(W,P)] [is positive in cons(W,P)] [is acc in W] (fun foldr=foldr) subterm comparison of args w. LR LR (meta G)[is acc in %U.%Z.G[%U,%Z],V,cons(W,P)] [is acc in G[%U,%Z]] (meta V)[is acc in %U.%Z.G[%U,%Z],V,cons(W,P)] [is acc in V] (meta P)[is acc in %U.%Z.G[%U,%Z],V,cons(W,P)] [is positive in cons(W,P)] [is acc in P] >>True #SN! ******** Signature ******** cons : (a,b) -> b foldr : (((a,b) -> b),b,b) -> b nil : b ******** Computation Rules ******** (1) foldr(%Y.%X.F[%Y,%X],Y,nil) => Y (2) foldr(%U.%Z.G[%U,%Z],V,cons(W,P)) => G[W,foldr(%W.%V.G[%W,%V],V,P)] YES