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TRS Stand 20472 pair #381710351
details
property
value
status
complete
benchmark
selsort.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n110.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.0887279510498 seconds
cpu usage
0.10222065
max memory
1.335296E7
stage attributes
key
value
output-size
6091
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: eq(0(),0()) -> true() 2: eq(0(),s(Y)) -> false() 3: eq(s(X),0()) -> false() 4: eq(s(X),s(Y)) -> eq(X,Y) 5: le(0(),Y) -> true() 6: le(s(X),0()) -> false() 7: le(s(X),s(Y)) -> le(X,Y) 8: min(cons(0(),nil())) -> 0() 9: min(cons(s(N),nil())) -> s(N) 10: min(cons(N,cons(M,L))) -> ifmin(le(N,M),cons(N,cons(M,L))) 11: ifmin(true(),cons(N,cons(M,L))) -> min(cons(N,L)) 12: ifmin(false(),cons(N,cons(M,L))) -> min(cons(M,L)) 13: replace(N,M,nil()) -> nil() 14: replace(N,M,cons(K,L)) -> ifrepl(eq(N,K),N,M,cons(K,L)) 15: ifrepl(true(),N,M,cons(K,L)) -> cons(M,L) 16: ifrepl(false(),N,M,cons(K,L)) -> cons(K,replace(N,M,L)) 17: selsort(nil()) -> nil() 18: selsort(cons(N,L)) -> ifselsort(eq(N,min(cons(N,L))),cons(N,L)) 19: ifselsort(true(),cons(N,L)) -> cons(N,selsort(L)) 20: ifselsort(false(),cons(N,L)) -> cons(min(cons(N,L)),selsort(replace(min(cons(N,L)),N,L))) Number of strict rules: 20 Direct POLO(bPol) ... failed. Uncurrying min 1: eq(0(),0()) -> true() 2: eq(0(),s(Y)) -> false() 3: eq(s(X),0()) -> false() 4: eq(s(X),s(Y)) -> eq(X,Y) 5: le(0(),Y) -> true() 6: le(s(X),0()) -> false() 7: le(s(X),s(Y)) -> le(X,Y) 8: min^1_cons(0(),nil()) -> 0() 9: min^1_cons(s(N),nil()) -> s(N) 10: min^1_cons(N,cons(M,L)) -> ifmin(le(N,M),cons(N,cons(M,L))) 11: ifmin(true(),cons(N,cons(M,L))) -> min^1_cons(N,L) 12: ifmin(false(),cons(N,cons(M,L))) -> min^1_cons(M,L) 13: replace(N,M,nil()) -> nil() 14: replace(N,M,cons(K,L)) -> ifrepl(eq(N,K),N,M,cons(K,L)) 15: ifrepl(true(),N,M,cons(K,L)) -> cons(M,L) 16: ifrepl(false(),N,M,cons(K,L)) -> cons(K,replace(N,M,L)) 17: selsort(nil()) -> nil() 18: selsort(cons(N,L)) -> ifselsort(eq(N,min^1_cons(N,L)),cons(N,L)) 19: ifselsort(true(),cons(N,L)) -> cons(N,selsort(L)) 20: ifselsort(false(),cons(N,L)) -> cons(min^1_cons(N,L),selsort(replace(min^1_cons(N,L),N,L))) 21: min(cons(_1,_2)) ->= min^1_cons(_1,_2) Number of strict rules: 20 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #ifmin(true(),cons(N,cons(M,L))) -> #min^1_cons(N,L) #2: #ifmin(false(),cons(N,cons(M,L))) -> #min^1_cons(M,L) #3: #replace(N,M,cons(K,L)) -> #ifrepl(eq(N,K),N,M,cons(K,L)) #4: #replace(N,M,cons(K,L)) -> #eq(N,K) #5: #ifselsort(false(),cons(N,L)) -> #min^1_cons(N,L) #6: #ifselsort(false(),cons(N,L)) -> #selsort(replace(min^1_cons(N,L),N,L)) #7: #ifselsort(false(),cons(N,L)) -> #replace(min^1_cons(N,L),N,L) #8: #ifselsort(false(),cons(N,L)) -> #min^1_cons(N,L) #9: #le(s(X),s(Y)) -> #le(X,Y) #10: #min^1_cons(N,cons(M,L)) -> #ifmin(le(N,M),cons(N,cons(M,L))) #11: #min^1_cons(N,cons(M,L)) -> #le(N,M) #12: #ifselsort(true(),cons(N,L)) -> #selsort(L) #13: #min(cons(_1,_2)) ->? #min^1_cons(_1,_2) #14: #ifrepl(false(),N,M,cons(K,L)) -> #replace(N,M,L) #15: #eq(s(X),s(Y)) -> #eq(X,Y) #16: #selsort(cons(N,L)) -> #ifselsort(eq(N,min^1_cons(N,L)),cons(N,L)) #17: #selsort(cons(N,L)) -> #eq(N,min^1_cons(N,L)) #18: #selsort(cons(N,L)) -> #min^1_cons(N,L) Number of SCCs: 5, DPs: 10 SCC { #15 } POLO(Sum)... succeeded. ifselsort w: 0 le w: 0 s w: x1 + 1 #le w: 0 ifmin w: 0 min^1_cons w: 0 eq w: 0 false w: 0 #min w: 0 true w: 0 #eq w: x1 + x2 0 w: 0 nil w: 0 ifrepl w: 0 selsort w: 0 #ifrepl w: 0 #selsort w: 0 #replace w: 0 #ifselsort w: 0 min w: 0 #min^1_cons w: 0 cons w: 0 #ifmin w: 0 replace w: 0
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