/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Uncurrying transformation.. done ******** General Schema criterion ******** Found constructors: 0, cons, nil, plus Checking type order >>OK Checking positivity of constructors >>OK Checking function dependency >>OK Checking (1) foldl(%X.%Y.F[%X,%Y],Y,nil) => Y (meta Y)[is acc in %X.%Y.F[%X,%Y],Y,nil] [is acc in Y] >>True Checking (2) foldl(%Z.%U.G[%Z,%U],V,cons(W,P)) => foldl(%V.%W.G[%V,%W],G[V,W],P) (fun foldl=foldl) subterm comparison of args w. LR LR >>False Try again using status RL Checking (1) foldl(%X.%Y.F[%X,%Y],Y,nil) => Y (meta Y)[is acc in %X.%Y.F[%X,%Y],Y,nil] [is acc in Y] >>True Checking (2) foldl(%Z.%U.G[%Z,%U],V,cons(W,P)) => foldl(%V.%W.G[%V,%W],G[V,W],P) (fun foldl=foldl) subterm comparison of args w. RL RL (meta G)[is acc in %Z.%U.G[%Z,%U],V,cons(W,P)] [is acc in G[%Z,%U]] (meta G)[is acc in %Z.%U.G[%Z,%U],V,cons(W,P)] [is acc in G[%Z,%U]] (meta V)[is acc in %Z.%U.G[%Z,%U],V,cons(W,P)] [is acc in V] (meta W)[is acc in %Z.%U.G[%Z,%U],V,cons(W,P)] [is positive in cons(W,P)] [is acc in W] (meta P)[is acc in %Z.%U.G[%Z,%U],V,cons(W,P)] [is positive in cons(W,P)] [is acc in P] >>True Checking (3) sum(X1) => foldl(%F.%G.(%F + %G),0,X1) (fun sum>foldl) (fun sum>plus) (fun sum>0) (meta X1)[is acc in X1] [is acc in X1] >>True #SN! ******** Signature ******** 0 : nat cons : (nat,natlist) -> natlist foldl : (((nat,nat) -> nat),nat,natlist) -> nat nil : natlist plus : (nat,nat) -> nat sum : natlist -> nat ******** Computation Rules ******** (1) foldl(%X.%Y.F[%X,%Y],Y,nil) => Y (2) foldl(%Z.%U.G[%Z,%U],V,cons(W,P)) => foldl(%V.%W.G[%V,%W],G[V,W],P) (3) sum(X1) => foldl(%F.%G.(%F + %G),0,X1) YES