/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: 0, s Checking type order >>OK Checking positivity of constructors >>OK Checking function dependency >>OK Checking (1) rec(0,U,X) => U (meta U)[is acc in 0,U,X] [is positive in 0] [is acc in U] >>True Checking (2) rec(s(X_),U,X) => X[X_,rec(X_,U,X)] (meta X)[is acc in s(X_),U,X] [is positive in s(X_)] [is acc in X] (meta X_)[is acc in s(X_),U,X] [is positive in s(X_)] [is acc in X_] (fun rec=rec) subterm comparison of args w. LR LR (meta X_)[is acc in s(X_),U,X] [is positive in s(X_)] [is acc in X_] (meta U)[is acc in s(X_),U,X] [is positive in s(X_)] [is acc in U] (meta X)[is acc in s(X_),U,X] [is positive in s(X_)] [is acc in X] >>True #SN! ******** Signature ******** 0 : nat s : nat -> nat rec : (nat,a,((nat,a) -> a)) -> a ******** Computation Rules ******** (1) rec(0,U,X) => U (2) rec(s(X_),U,X) => X[X_,rec(X_,U,X)] YES