Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Standard pair #487071286
details
property
value
status
complete
benchmark
PEANO_nokinds_noand_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n071.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.106879 seconds
cpu usage
0.04165
user time
0.022864
system time
0.018786
max virtual memory
113188.0
max residence set size
7132.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: a__U11(tt(),V2) -> a__U12(a__isNat(V2)) 2: a__U12(tt()) -> tt() 3: a__U21(tt()) -> tt() 4: a__U31(tt(),N) -> mark(N) 5: a__U41(tt(),M,N) -> a__U42(a__isNat(N),M,N) 6: a__U42(tt(),M,N) -> s(a__plus(mark(N),mark(M))) 7: a__isNat(0()) -> tt() 8: a__isNat(plus(V1,V2)) -> a__U11(a__isNat(V1),V2) 9: a__isNat(s(V1)) -> a__U21(a__isNat(V1)) 10: a__plus(N,0()) -> a__U31(a__isNat(N),N) 11: a__plus(N,s(M)) -> a__U41(a__isNat(M),M,N) 12: mark(U11(X1,X2)) -> a__U11(mark(X1),X2) 13: mark(U12(X)) -> a__U12(mark(X)) 14: mark(isNat(X)) -> a__isNat(X) 15: mark(U21(X)) -> a__U21(mark(X)) 16: mark(U31(X1,X2)) -> a__U31(mark(X1),X2) 17: mark(U41(X1,X2,X3)) -> a__U41(mark(X1),X2,X3) 18: mark(U42(X1,X2,X3)) -> a__U42(mark(X1),X2,X3) 19: mark(plus(X1,X2)) -> a__plus(mark(X1),mark(X2)) 20: mark(tt()) -> tt() 21: mark(s(X)) -> s(mark(X)) 22: mark(0()) -> 0() 23: a__U11(X1,X2) -> U11(X1,X2) 24: a__U12(X) -> U12(X) 25: a__isNat(X) -> isNat(X) 26: a__U21(X) -> U21(X) 27: a__U31(X1,X2) -> U31(X1,X2) 28: a__U41(X1,X2,X3) -> U41(X1,X2,X3) 29: a__U42(X1,X2,X3) -> U42(X1,X2,X3) 30: a__plus(X1,X2) -> plus(X1,X2) Number of strict rules: 30 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a__U42(tt(),M,N) -> #a__plus(mark(N),mark(M)) #2: #a__U42(tt(),M,N) -> #mark(N) #3: #a__U42(tt(),M,N) -> #mark(M) #4: #mark(U12(X)) -> #a__U12(mark(X)) #5: #mark(U12(X)) -> #mark(X) #6: #a__isNat(s(V1)) -> #a__U21(a__isNat(V1)) #7: #a__isNat(s(V1)) -> #a__isNat(V1) #8: #a__plus(N,s(M)) -> #a__U41(a__isNat(M),M,N) #9: #a__plus(N,s(M)) -> #a__isNat(M) #10: #mark(U11(X1,X2)) -> #a__U11(mark(X1),X2) #11: #mark(U11(X1,X2)) -> #mark(X1) #12: #mark(isNat(X)) -> #a__isNat(X) #13: #a__plus(N,0()) -> #a__U31(a__isNat(N),N) #14: #a__plus(N,0()) -> #a__isNat(N) #15: #a__U41(tt(),M,N) -> #a__U42(a__isNat(N),M,N) #16: #a__U41(tt(),M,N) -> #a__isNat(N) #17: #mark(U41(X1,X2,X3)) -> #a__U41(mark(X1),X2,X3) #18: #mark(U41(X1,X2,X3)) -> #mark(X1) #19: #mark(plus(X1,X2)) -> #a__plus(mark(X1),mark(X2)) #20: #mark(plus(X1,X2)) -> #mark(X1) #21: #mark(plus(X1,X2)) -> #mark(X2) #22: #mark(s(X)) -> #mark(X) #23: #mark(U31(X1,X2)) -> #a__U31(mark(X1),X2) #24: #mark(U31(X1,X2)) -> #mark(X1) #25: #a__U11(tt(),V2) -> #a__U12(a__isNat(V2)) #26: #a__U11(tt(),V2) -> #a__isNat(V2) #27: #a__isNat(plus(V1,V2)) -> #a__U11(a__isNat(V1),V2) #28: #a__isNat(plus(V1,V2)) -> #a__isNat(V1) #29: #mark(U21(X)) -> #a__U21(mark(X)) #30: #mark(U21(X)) -> #mark(X) #31: #a__U31(tt(),N) -> #mark(N) #32: #mark(U42(X1,X2,X3)) -> #a__U42(mark(X1),X2,X3) #33: #mark(U42(X1,X2,X3)) -> #mark(X1) Number of SCCs: 2, DPs: 24 SCC { #7 #26..28 } POLO(Sum)... succeeded. a__plus w: 0 U21 w: 0 U11 w: 0 s w: x1 + 1 #a__U31 w: 0 U42 w: 0 #a__isNat w: x1 #a__U11 w: x1 + x2 a__U31 w: 0 U12 w: 0 #a__U42 w: 0 a__U41 w: 0 #a__U12 w: 0 #a__U21 w: 0 #a__plus w: 0 #mark w: 0 0 w: 2476 a__U21 w: x1 mark w: 0 a__U11 w: x1 + x2 + 28957 a__U42 w: 0 a__U12 w: x1 isNat w: 0 plus w: x1 + x2 + 28959 U31 w: 0 #a__U41 w: 0 tt w: 1 a__isNat w: x1 + 28958
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Standard