/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, false, nil, true
Checking type order >>OK
Checking positivity of constructors >>OK
Checking function dependency >>OK
Checking  (1) if(true,X,Y) => X
 (meta X)[is acc in true,X,Y] [is positive in true] [is acc in X]  >>True
Checking  (2) if(false,U,V) => V
 (meta V)[is acc in false,U,V] [is positive in false] [is acc in V]  >>True
Checking  (3) filter(I,nil) => nil
 (fun filter>nil) >>True
Checking  (4) filter(J,cons(X1,Y1)) => if(J[X1],cons(X1,filter(J,Y1)),filter(J,Y1))
 (fun filter>if)
 (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 filter>cons)
 (meta X1)[is acc in J,cons(X1,Y1)] [is positive in cons(X1,Y1)] [is acc in X1] 
 (fun filter=filter) subterm comparison of args w. Arg [1,2] Arg [1,2]
 (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] 
 (fun filter=filter) subterm comparison of args w. Arg [1,2] Arg [1,2]
 (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
#SN!
******** Signature ********
 cons : (a,c) -> c
 false : b
 filter : ((a -> b),c) -> c
 if : (b,c,c) -> c
 nil : c
 true : b
******** Computation Rules ********
 (1)  if(true,X,Y) => X
 (2)  if(false,U,V) => V
 (3)  filter(I,nil) => nil
 (4)  filter(J,cons(X1,Y1)) => if(J[X1],cons(X1,filter(J,Y1)),filter(J,Y1))

YES