/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: 0, cons, nil, s
Checking type order >>OK
Checking positivity of constructors >>OK
Checking function dependency >>OK
Checking  (1) 0 + X => X
 (meta X)[is acc in 0,X] [is positive in 0] [is acc in X]  >>True
Checking  (2) s(Y) + U => s(Y + U)
 (fun plus>s)
 (fun plus=plus) subterm comparison of args w. LR LR
 (meta Y)[is acc in s(Y),U] [is positive in s(Y)] [is acc in Y] 
 (meta U)[is acc in s(Y),U] [is positive in s(Y)] [is acc in U]  >>True
Checking  (3) 0 * V => 0
 (fun times>0) >>True
Checking  (4) s(W) * P => (W * P) + P
 (fun times>plus)
 (fun times=times) subterm comparison of args w. LR LR
 (meta W)[is acc in s(W),P] [is positive in s(W)] [is acc in W] 
 (meta P)[is acc in s(W),P] [is positive in s(W)] [is acc in P] 
 (meta P)[is acc in s(W),P] [is positive in s(W)] [is acc in P]  >>True
Checking  (5) map(F1,nil) => nil
 (fun map>nil) >>True
Checking  (6) map(Z1,cons(U1,V1)) => cons(Z1[U1],map(Z1,V1))
 (fun map>cons)
 (meta Z1)[is acc in Z1,cons(U1,V1)] [is acc in Z1] 
 (meta U1)[is acc in Z1,cons(U1,V1)] [is positive in cons(U1,V1)] [is acc in U1] 
 (fun map=map) subterm comparison of args w. LR LR
 (meta Z1)[is acc in Z1,cons(U1,V1)] [is acc in Z1] 
 (meta V1)[is acc in Z1,cons(U1,V1)] [is positive in cons(U1,V1)] [is acc in V1]  >>True
Checking  (7) inc => map(plus(s(0)))
 (fun inc>map)
 (fun inc>plus)
 (fun inc>s)
 (fun inc>0) >>True
Checking  (8) double => map(times(s(s(0))))
 (fun double>map)
 (fun double>times)
 (fun double>s)
 (fun double>s)
 (fun double>0) >>True
#SN!
******** Signature ********
 0 : b
 cons : (b,a) -> a
 double : a -> a
 inc : a -> a
 map : ((b -> b),a) -> a
 nil : a
 plus : (b,b) -> b
 s : b -> b
 times : (b,b) -> b
******** Computation Rules ********
 (1)  0 + X => X
 (2)  s(Y) + U => s(Y + U)
 (3)  0 * V => 0
 (4)  s(W) * P => (W * P) + P
 (5)  map(F1,nil) => nil
 (6)  map(Z1,cons(U1,V1)) => cons(Z1[U1],map(Z1,V1))
 (7)  inc => map(plus(s(0)))
 (8)  double => map(times(s(s(0))))

YES