/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) id(X) => X
 (meta X)[is acc in X] [is acc in X]  >>True
Checking  (2) zero1(%X.Z[%X],U) => U
 (meta U)[is acc in %X.Z[%X],U] [is acc in U]  >>True
Checking  (3) two1(%Y.H[%Y],W) => H[H[W]]
 (meta H)[is acc in %Y.H[%Y],W] [is acc in H[%Y]] 
 (meta H)[is acc in %Y.H[%Y],W] [is acc in H[%Y]] 
 (meta W)[is acc in %Y.H[%Y],W] [is acc in W]  >>True
Checking  (4) succ1(%U.J[%U],%Z.F1[%Z],Y1) => F1[J[F1,Y1]]
 (meta F1)[is acc in %U.J[%U],%Z.F1[%Z],Y1] [is acc in F1[%Z]] 
 (meta J)[is acc in %U.J[%U],%Z.F1[%Z],Y1] [is acc in J[%U]] 
 (meta F1)[is acc in %U.J[%U],%Z.F1[%Z],Y1] [is acc in F1[%Z]] 
 (meta Y1)[is acc in %U.J[%U],%Z.F1[%Z],Y1] [is acc in Y1]  >>True
Checking  (5) plus1(%F.G1[%F],%W.H1[%W],%V.I1[%V],P1) => G1[I1,H1[I1,P1]]
 (meta G1)[is acc in %F.G1[%F],%W.H1[%W],%V.I1[%V],P1] [is acc in G1[%F]] 
 (meta I1)[is acc in %F.G1[%F],%W.H1[%W],%V.I1[%V],P1] [is acc in I1[%V]] 
 (meta H1)[is acc in %F.G1[%F],%W.H1[%W],%V.I1[%V],P1] [is acc in H1[%W]] 
 (meta I1)[is acc in %F.G1[%F],%W.H1[%W],%V.I1[%V],P1] [is acc in I1[%V]] 
 (meta P1)[is acc in %F.G1[%F],%W.H1[%W],%V.I1[%V],P1] [is acc in P1]  >>True
Checking  (6) zero2(%I.F2[%I],%H.Z2[%H],%G.G2[%G],V2) => Z2[G2,V2]
 (meta Z2)[is acc in %I.F2[%I],%H.Z2[%H],%G.G2[%G],V2] [is acc in Z2[%H]] 
 (meta G2)[is acc in %I.F2[%I],%H.Z2[%H],%G.G2[%G],V2] [is acc in G2[%G]] 
 (meta V2)[is acc in %I.F2[%I],%H.Z2[%H],%G.G2[%G],V2] [is acc in V2]  >>True
Checking  (7) two2(%Q.I2[%Q],%P.J2[%P],%J.F3[%J],Y3) => I2[I2[J2],F3,Y3]
 (meta I2)[is acc in %Q.I2[%Q],%P.J2[%P],%J.F3[%J],Y3] [is acc in I2[%Q]] 
 (meta I2)[is acc in %Q.I2[%Q],%P.J2[%P],%J.F3[%J],Y3] [is acc in I2[%Q]] 
 (meta J2)[is acc in %Q.I2[%Q],%P.J2[%P],%J.F3[%J],Y3] [is acc in J2[%P]] 
 (meta F3)[is acc in %Q.I2[%Q],%P.J2[%P],%J.F3[%J],Y3] [is acc in F3[%J]] 
 (meta Y3)[is acc in %Q.I2[%Q],%P.J2[%P],%J.F3[%J],Y3] [is acc in Y3]  >>True
Checking  (8) succ2(%Xb.G3[%Xb],%T.H3[%T],%S.I3[%S],%R.J3[%R],X4) => H3[G3[H3,I3],J3,X4]
 (meta H3)[is acc in %Xb.G3[%Xb],%T.H3[%T],%S.I3[%S],%R.J3[%R],X4] [is acc in H3[%T]] 
 (meta G3)[is acc in %Xb.G3[%Xb],%T.H3[%T],%S.I3[%S],%R.J3[%R],X4] [is acc in G3[%Xb]] 
 (meta H3)[is acc in %Xb.G3[%Xb],%T.H3[%T],%S.I3[%S],%R.J3[%R],X4] [is acc in H3[%T]] 
 (meta I3)[is acc in %Xb.G3[%Xb],%T.H3[%T],%S.I3[%S],%R.J3[%R],X4] [is acc in I3[%S]] 
 (meta J3)[is acc in %Xb.G3[%Xb],%T.H3[%T],%S.I3[%S],%R.J3[%R],X4] [is acc in J3[%R]] 
 (meta X4)[is acc in %Xb.G3[%Xb],%T.H3[%T],%S.I3[%S],%R.J3[%R],X4] [is acc in X4]  >>True
Checking  (9) plus2(%Wb.Z4[%Wb],%Vb.G4[%Vb],%Ub.H4[%Ub],%Zb.I4[%Zb],%Yb.J4[%Yb],X5) => Z4[H4,G4[H4,I4],J4,X5]
 (meta Z4)[is acc in %Wb.Z4[%Wb],%Vb.G4[%Vb],%Ub.H4[%Ub],%Zb.I4[%Zb],%Yb.J4[%Yb],X5] [is acc in Z4[%Wb]] 
 (meta H4)[is acc in %Wb.Z4[%Wb],%Vb.G4[%Vb],%Ub.H4[%Ub],%Zb.I4[%Zb],%Yb.J4[%Yb],X5] [is acc in H4[%Ub]] 
 (meta G4)[is acc in %Wb.Z4[%Wb],%Vb.G4[%Vb],%Ub.H4[%Ub],%Zb.I4[%Zb],%Yb.J4[%Yb],X5] [is acc in G4[%Vb]] 
 (meta H4)[is acc in %Wb.Z4[%Wb],%Vb.G4[%Vb],%Ub.H4[%Ub],%Zb.I4[%Zb],%Yb.J4[%Yb],X5] [is acc in H4[%Ub]] 
 (meta I4)[is acc in %Wb.Z4[%Wb],%Vb.G4[%Vb],%Ub.H4[%Ub],%Zb.I4[%Zb],%Yb.J4[%Yb],X5] [is acc in I4[%Zb]] 
 (meta J4)[is acc in %Wb.Z4[%Wb],%Vb.G4[%Vb],%Ub.H4[%Ub],%Zb.I4[%Zb],%Yb.J4[%Yb],X5] [is acc in J4[%Yb]] 
 (meta X5)[is acc in %Wb.Z4[%Wb],%Vb.G4[%Vb],%Ub.H4[%Ub],%Zb.I4[%Zb],%Yb.J4[%Yb],X5] [is acc in X5]  >>True
#SN!
******** Signature ********
 id : N -> N
 plus1 : ((((N -> N),N) -> N),(((N -> N),N) -> N),(N -> N),N) -> N
 plus2 : ((((((((N -> N),N) -> N),(N -> N),N) -> N),(((N -> N),N) -> N),(N -> N),N) -> N),(((((((N -> N),N) -> N),(N -> N),N) -> N),(((N -> N),N) -> N),(N -> N),N) -> N),(((((N -> N),N) -> N),(N -> N),N) -> N),(((N -> N),N) -> N),(N -> N),N) -> N
 succ1 : ((((N -> N),N) -> N),(N -> N),N) -> N
 succ2 : ((((((((N -> N),N) -> N),(N -> N),N) -> N),(((N -> N),N) -> N),(N -> N),N) -> N),(((((N -> N),N) -> N),(N -> N),N) -> N),(((N -> N),N) -> N),(N -> N),N) -> N
 two1 : ((N -> N),N) -> N
 two2 : ((((((N -> N),N) -> N),(N -> N),N) -> N),(((N -> N),N) -> N),(N -> N),N) -> N
 zero1 : ((N -> N),N) -> N
 zero2 : ((((((N -> N),N) -> N),(N -> N),N) -> N),(((N -> N),N) -> N),(N -> N),N) -> N
******** Computation Rules ********
 (1)  id(X) => X
 (2)  zero1(%X.Z[%X],U) => U
 (3)  two1(%Y.H[%Y],W) => H[H[W]]
 (4)  succ1(%U.J[%U],%Z.F1[%Z],Y1) => F1[J[F1,Y1]]
 (5)  plus1(%F.G1[%F],%W.H1[%W],%V.I1[%V],P1) => G1[I1,H1[I1,P1]]
 (6)  zero2(%I.F2[%I],%H.Z2[%H],%G.G2[%G],V2) => Z2[G2,V2]
 (7)  two2(%Q.I2[%Q],%P.J2[%P],%J.F3[%J],Y3) => I2[I2[J2],F3,Y3]
 (8)  succ2(%Xb.G3[%Xb],%T.H3[%T],%S.I3[%S],%R.J3[%R],X4) => H3[G3[H3,I3],J3,X4]
 (9)  plus2(%Wb.Z4[%Wb],%Vb.G4[%Vb],%Ub.H4[%Ub],%Zb.I4[%Zb],%Yb.J4[%Yb],X5) => Z4[H4,G4[H4,I4],J4,X5]

YES