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TRS Standard pair #487071096
details
property
value
status
complete
benchmark
PEANO_nokinds-noand_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n190.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0647009 seconds
cpu usage
0.027503
user time
0.014225
system time
0.013278
max virtual memory
113188.0
max residence set size
6072.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: U11(tt(),V2) -> U12(isNat(activate(V2))) 2: U12(tt()) -> tt() 3: U21(tt()) -> tt() 4: U31(tt(),N) -> activate(N) 5: U41(tt(),M,N) -> U42(isNat(activate(N)),activate(M),activate(N)) 6: U42(tt(),M,N) -> s(plus(activate(N),activate(M))) 7: isNat(n__0()) -> tt() 8: isNat(n__plus(V1,V2)) -> U11(isNat(activate(V1)),activate(V2)) 9: isNat(n__s(V1)) -> U21(isNat(activate(V1))) 10: plus(N,0()) -> U31(isNat(N),N) 11: plus(N,s(M)) -> U41(isNat(M),M,N) 12: 0() -> n__0() 13: plus(X1,X2) -> n__plus(X1,X2) 14: s(X) -> n__s(X) 15: activate(n__0()) -> 0() 16: activate(n__plus(X1,X2)) -> plus(activate(X1),activate(X2)) 17: activate(n__s(X)) -> s(activate(X)) 18: activate(X) -> X Number of strict rules: 18 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #U42(tt(),M,N) -> #s(plus(activate(N),activate(M))) #2: #U42(tt(),M,N) -> #plus(activate(N),activate(M)) #3: #U42(tt(),M,N) -> #activate(N) #4: #U42(tt(),M,N) -> #activate(M) #5: #isNat(n__s(V1)) -> #U21(isNat(activate(V1))) #6: #isNat(n__s(V1)) -> #isNat(activate(V1)) #7: #isNat(n__s(V1)) -> #activate(V1) #8: #plus(N,s(M)) -> #U41(isNat(M),M,N) #9: #plus(N,s(M)) -> #isNat(M) #10: #plus(N,0()) -> #U31(isNat(N),N) #11: #plus(N,0()) -> #isNat(N) #12: #U41(tt(),M,N) -> #U42(isNat(activate(N)),activate(M),activate(N)) #13: #U41(tt(),M,N) -> #isNat(activate(N)) #14: #U41(tt(),M,N) -> #activate(N) #15: #U41(tt(),M,N) -> #activate(M) #16: #U41(tt(),M,N) -> #activate(N) #17: #activate(n__s(X)) -> #s(activate(X)) #18: #activate(n__s(X)) -> #activate(X) #19: #activate(n__plus(X1,X2)) -> #plus(activate(X1),activate(X2)) #20: #activate(n__plus(X1,X2)) -> #activate(X1) #21: #activate(n__plus(X1,X2)) -> #activate(X2) #22: #U11(tt(),V2) -> #U12(isNat(activate(V2))) #23: #U11(tt(),V2) -> #isNat(activate(V2)) #24: #U11(tt(),V2) -> #activate(V2) #25: #isNat(n__plus(V1,V2)) -> #U11(isNat(activate(V1)),activate(V2)) #26: #isNat(n__plus(V1,V2)) -> #isNat(activate(V1)) #27: #isNat(n__plus(V1,V2)) -> #activate(V1) #28: #isNat(n__plus(V1,V2)) -> #activate(V2) #29: #activate(n__0()) -> #0() #30: #U31(tt(),N) -> #activate(N) Number of SCCs: 1, DPs: 25 SCC { #2..4 #6..16 #18..21 #23..28 #30 } POLO(Sum)... succeeded. #0 w: 0 U21 w: x1 U11 w: x1 s w: x1 + 4 #isNat w: x1 + 2 U42 w: x1 + x2 + x3 + 32283 activate w: x1 #plus w: x1 + x2 #activate w: x1 U12 w: x1 n__s w: x1 + 4 #U42 w: x1 + x2 + x3 #U12 w: 0 0 w: 9728 #s w: 0 n__plus w: x1 + x2 + 32280 n__0 w: 9728 isNat w: 1 plus w: x1 + x2 + 32280 #U11 w: x1 + x2 + 2 U31 w: x2 #U41 w: x1 + x2 + x3 + 2 #U21 w: 0 tt w: 1 U41 w: x1 + x2 + x3 + 32283 #U31 w: x1 + x2 USABLE RULES: { 1..18 } Removed DPs: #2..4 #6..16 #18..21 #23..28 #30 Number of SCCs: 0, DPs: 0
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