/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: 
Checking type order >>OK
Checking positivity of constructors >>OK
Checking function dependency >>OK
Checking  (1) succ(%Y.F[%Y],%X.Z[%X],U) => F[Z,Z[U]]
 (meta F)[is acc in %Y.F[%Y],%X.Z[%X],U] [is acc in F[%Y]] 
 (meta Z)[is acc in %Y.F[%Y],%X.Z[%X],U] [is acc in Z[%X]] 
 (meta Z)[is acc in %Y.F[%Y],%X.Z[%X],U] [is acc in Z[%X]] 
 (meta U)[is acc in %Y.F[%Y],%X.Z[%X],U] [is acc in U]  >>True
Checking  (2) id(V) => V
 (meta V)[is acc in V] [is acc in V]  >>True
Checking  (3) two(%V.I[%V],%U.J[%U],%Z.F1[%Z],Y1) => I[I[J],F1,Y1]
 (meta I)[is acc in %V.I[%V],%U.J[%U],%Z.F1[%Z],Y1] [is acc in I[%V]] 
 (meta I)[is acc in %V.I[%V],%U.J[%U],%Z.F1[%Z],Y1] [is acc in I[%V]] 
 (meta J)[is acc in %V.I[%V],%U.J[%U],%Z.F1[%Z],Y1] [is acc in J[%U]] 
 (meta F1)[is acc in %V.I[%V],%U.J[%U],%Z.F1[%Z],Y1] [is acc in F1[%Z]] 
 (meta Y1)[is acc in %V.I[%V],%U.J[%U],%Z.F1[%Z],Y1] [is acc in Y1]  >>True
Checking  (4) zero(%G.G1[%G],%F.H1[%F],%W.I1[%W],P1) => H1[I1,P1]
 (meta H1)[is acc in %G.G1[%G],%F.H1[%F],%W.I1[%W],P1] [is acc in H1[%F]] 
 (meta I1)[is acc in %G.G1[%G],%F.H1[%F],%W.I1[%W],P1] [is acc in I1[%W]] 
 (meta P1)[is acc in %G.G1[%G],%F.H1[%F],%W.I1[%W],P1] [is acc in P1]  >>True
#SN!
******** Signature ********
 id : N -> N
 succ : ((((N -> N),N) -> N),(N -> N),N) -> N
 two : ((((((N -> N),N) -> N),(N -> N),N) -> N),(((N -> N),N) -> N),(N -> N),N) -> N
 zero : ((((((N -> N),N) -> N),(N -> N),N) -> N),(((N -> N),N) -> N),(N -> N),N) -> N
******** Computation Rules ********
 (1)  succ(%Y.F[%Y],%X.Z[%X],U) => F[Z,Z[U]]
 (2)  id(V) => V
 (3)  two(%V.I[%V],%U.J[%U],%Z.F1[%Z],Y1) => I[I[J],F1,Y1]
 (4)  zero(%G.G1[%G],%F.H1[%F],%W.I1[%W],P1) => H1[I1,P1]

YES