/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

******** General Schema criterion ********
Found constructors: cons, nil
Checking type order >>OK
Checking positivity of constructors >>OK
Checking function dependency >>OK
Checking  (1) append(nil,X) => X
 (meta X)[is acc in nil,X] [is positive in nil] [is acc in X]  >>True
Checking  (2) append(cons(Y,V),U) => cons(Y,append(V,U))
 (fun append>cons)
 (meta Y)[is acc in cons(Y,V),U] [is positive in cons(Y,V)] [is acc in Y] 
 (fun append=append) subterm comparison of args w. LR LR
 (meta V)[is acc in cons(Y,V),U] [is positive in cons(Y,V)] [is acc in V] 
 (meta U)[is acc in cons(Y,V),U] [is positive in cons(Y,V)] [is acc in U]  >>True
Checking  (3) map(I,nil) => nil
 (fun map>nil) >>True
Checking  (4) map(J,cons(X1,Y1)) => cons(J[X1],map(J,Y1))
 (fun map>cons)
 (meta J)[is acc in J,cons(X1,Y1)] [is acc in J] 
 (meta X1)[is acc in J,cons(X1,Y1)] [is positive in cons(X1,Y1)] [is acc in X1] 
 (fun map=map) subterm comparison of args w. LR LR
 (meta J)[is acc in J,cons(X1,Y1)] [is acc in J] 
 (meta Y1)[is acc in J,cons(X1,Y1)] [is positive in cons(X1,Y1)] [is acc in Y1]  >>True
Checking  (5) append(append(U1,V1),W1) => append(U1,append(V1,W1))
 (fun append=append) subterm comparison of args w. LR LR
 (meta U1)[is acc in append(U1,V1),W1] [is positive in append(U1,V1)] [is acc in U1] 
 (fun append=append) subterm comparison of args w. LR LR
 (meta V1)[is acc in append(U1,V1),W1] [is positive in append(U1,V1)] [is acc in V1] 
 (meta W1)[is acc in append(U1,V1),W1] [is positive in append(U1,V1)] [is acc in W1]  >>True
Checking  (6) map(J1,append(X2,Y2)) => append(map(J1,X2),map(J1,Y2))
 (fun map>append)
 (fun map=map) subterm comparison of args w. LR LR
 (meta J1)[is acc in J1,append(X2,Y2)] [is acc in J1] 
 (meta X2)[is acc in J1,append(X2,Y2)] [is positive in append(X2,Y2)] [is acc in X2] 
 (fun map=map) subterm comparison of args w. LR LR
 (meta J1)[is acc in J1,append(X2,Y2)] [is acc in J1] 
 (meta Y2)[is acc in J1,append(X2,Y2)] [is positive in append(X2,Y2)] [is acc in Y2]  >>True
#SN!
******** Signature ********
 append : (b,b) -> b
 cons : (a,b) -> b
 map : ((a -> a),b) -> b
 nil : b
******** Computation Rules ********
 (1)  append(nil,X) => X
 (2)  append(cons(Y,V),U) => cons(Y,append(V,U))
 (3)  map(I,nil) => nil
 (4)  map(J,cons(X1,Y1)) => cons(J[X1],map(J,Y1))
 (5)  append(append(U1,V1),W1) => append(U1,append(V1,W1))
 (6)  map(J1,append(X2,Y2)) => append(map(J1,X2),map(J1,Y2))

YES