/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: 0, false, fork, if, null, s, true
Checking type order >>OK
Checking positivity of constructors >>OK
Checking function dependency >>OK
Checking  (1) lt(s(X),s(Y)) => lt(X,Y)
 (fun lt=lt) subterm comparison of args w. LR LR
 (meta X)[is acc in s(X),s(Y)] [is positive in s(X)] [is acc in X] 
 (meta Y)[is acc in s(X),s(Y)] [is positive in s(X)] [is positive in s(Y)] [is acc in Y]  >>True
Checking  (2) lt(0,s(U)) => true
 (fun lt>true) >>True
Checking  (3) lt(V,0) => false
 (fun lt>false) >>True
Checking  (4) eq(W,W) => true
 (fun eq>true) >>True
Checking  (5) eq(s(P),0) => false
 (fun eq>false) >>True
Checking  (6) eq(0,s(X1)) => false
 (fun eq>false) >>True
Checking  (7) member(Y1,null) => false
 (fun member>false) >>True
Checking  (8) member(U1,fork(V1,W1,P1)) => if(lt(U1,W1),member(U1,V1),if(eq(U1,W1),true,member(U1,P1)))
 (fun member>if)
 (fun member>lt)
 (meta U1)[is acc in U1,fork(V1,W1,P1)] [is acc in U1] 
 (meta W1)[is acc in U1,fork(V1,W1,P1)] [is positive in fork(V1,W1,P1)] [is acc in W1] 
 (fun member=member) subterm comparison of args w. LR LR
 (meta U1)[is acc in U1,fork(V1,W1,P1)] [is acc in U1] 
 (meta V1)[is acc in U1,fork(V1,W1,P1)] [is positive in fork(V1,W1,P1)] [is acc in V1] 
 (fun member>if)
 (fun member>eq)
 (meta U1)[is acc in U1,fork(V1,W1,P1)] [is acc in U1] 
 (meta W1)[is acc in U1,fork(V1,W1,P1)] [is positive in fork(V1,W1,P1)] [is acc in W1] 
 (fun member>true)
 (fun member=member) subterm comparison of args w. LR LR
 (meta U1)[is acc in U1,fork(V1,W1,P1)] [is acc in U1] 
 (meta P1)[is acc in U1,fork(V1,W1,P1)] [is positive in fork(V1,W1,P1)] [is acc in P1]  >>True
#SN!
******** Signature ********
 0 : a
 eq : (a,a) -> c
 false : c
 fork : (b,a,b) -> b
 if : (c,c,c) -> c
 lt : (a,a) -> c
 member : (a,b) -> c
 null : b
 s : a -> a
 true : c
******** Computation Rules ********
 (1)  lt(s(X),s(Y)) => lt(X,Y)
 (2)  lt(0,s(U)) => true
 (3)  lt(V,0) => false
 (4)  eq(W,W) => true
 (5)  eq(s(P),0) => false
 (6)  eq(0,s(X1)) => false
 (7)  member(Y1,null) => false
 (8)  member(U1,fork(V1,W1,P1)) => if(lt(U1,W1),member(U1,V1),if(eq(U1,W1),true,member(U1,P1)))

YES