/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

Uncurrying transformation.. done
******** General Schema criterion ********
Found constructors: 0, s
Checking type order >>OK
Checking positivity of constructors >>OK
Checking function dependency >>OK
Checking  (1) rec(%X.%Y.F[%X,%Y],Y,0) => Y
 (meta Y)[is acc in %X.%Y.F[%X,%Y],Y,0] [is acc in Y]  >>True
Checking  (2) rec(%Z.%U.G[%Z,%U],V,s(W)) => G[W,rec(%V.%W.G[%V,%W],V,W)]
 (meta G)[is acc in %Z.%U.G[%Z,%U],V,s(W)] [is acc in G[%Z,%U]] 
 (meta W)[is acc in %Z.%U.G[%Z,%U],V,s(W)] [is positive in s(W)] [is acc in W] 
 (fun rec=rec) subterm comparison of args w. LR LR
 (meta G)[is acc in %Z.%U.G[%Z,%U],V,s(W)] [is acc in G[%Z,%U]] 
 (meta V)[is acc in %Z.%U.G[%Z,%U],V,s(W)] [is acc in V] 
 (meta W)[is acc in %Z.%U.G[%Z,%U],V,s(W)] [is positive in s(W)] [is acc in W]  >>True
Checking  (3) succ(P,X1) => s(X1)
 (fun succ>s)
 (meta X1)[is acc in P,X1] [is acc in X1]  >>True
Checking  (4) add(Y1,U1) => rec(%F.%G.succ(%F,%G),Y1,U1)
 (fun add>rec)
 (fun add>succ)
 (meta Y1)[is acc in Y1,U1] [is acc in Y1] 
 (meta U1)[is acc in Y1,U1] [is acc in U1]  >>True
Checking  (5) add(V1,0) => V1
 (meta V1)[is acc in V1,0] [is acc in V1]  >>True
Checking  (6) add(W1,s(P1)) => s(add(W1,P1))
 (fun add>s)
 (fun add=add) subterm comparison of args w. LR LR
 (meta W1)[is acc in W1,s(P1)] [is acc in W1] 
 (meta P1)[is acc in W1,s(P1)] [is positive in s(P1)] [is acc in P1]  >>True
#SN!
******** Signature ********
 0 : nat
 add : (nat,nat) -> nat
 rec : (((nat,nat) -> nat),nat,nat) -> nat
 s : nat -> nat
 succ : (nat,nat) -> nat
******** Computation Rules ********
 (1)  rec(%X.%Y.F[%X,%Y],Y,0) => Y
 (2)  rec(%Z.%U.G[%Z,%U],V,s(W)) => G[W,rec(%V.%W.G[%V,%W],V,W)]
 (3)  succ(P,X1) => s(X1)
 (4)  add(Y1,U1) => rec(%F.%G.succ(%F,%G),Y1,U1)
 (5)  add(V1,0) => V1
 (6)  add(W1,s(P1)) => s(add(W1,P1))

YES