/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

******** General Schema criterion ********
Found constructors: a, f
Checking type order >>OK
Checking positivity of constructors >>OK
Checking function dependency >>OK
Checking  (1) ap(X,a) => f(a)
 (fun ap>f)
 (fun ap>a) >>True
Checking  (ap) ap(x.M[x],N) => M[N]
 (meta M)[is acc in x.M[x],N] [is acc in M[x]] 
 (meta N)[is acc in x.M[x],N] [is acc in N]  >>True
Checking  (ap0) ap(M,N) => M[N]
 (meta M)[is acc in M,N] [is acc in M] 
 (meta N)[is acc in M,N] [is acc in N]  >>True
#SN!
******** Signature ********
 a : N
 f : N -> N
 ap : ((a -> b),a) -> b
******** Computation Rules ********
 (1)  ap(X,a) => f(a)
 (ap)  ap(x.M[x],N) => M[N]
 (ap0)  ap(M,N) => M[N]

YES