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TRS Stand 20472 pair #381715898
details
property
value
status
complete
benchmark
MYNAT_nokinds-noand_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n021.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.52855014801 seconds
cpu usage
0.596029038
max memory
2.0299776E7
stage attributes
key
value
output-size
7165
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: U11(tt(),V2) -> U12(isNat(activate(V2))) 2: U12(tt()) -> tt() 3: U21(tt()) -> tt() 4: U31(tt(),V2) -> U32(isNat(activate(V2))) 5: U32(tt()) -> tt() 6: U41(tt(),N) -> activate(N) 7: U51(tt(),M,N) -> U52(isNat(activate(N)),activate(M),activate(N)) 8: U52(tt(),M,N) -> s(plus(activate(N),activate(M))) 9: U61(tt()) -> 0() 10: U71(tt(),M,N) -> U72(isNat(activate(N)),activate(M),activate(N)) 11: U72(tt(),M,N) -> plus(x(activate(N),activate(M)),activate(N)) 12: isNat(n__0()) -> tt() 13: isNat(n__plus(V1,V2)) -> U11(isNat(activate(V1)),activate(V2)) 14: isNat(n__s(V1)) -> U21(isNat(activate(V1))) 15: isNat(n__x(V1,V2)) -> U31(isNat(activate(V1)),activate(V2)) 16: plus(N,0()) -> U41(isNat(N),N) 17: plus(N,s(M)) -> U51(isNat(M),M,N) 18: x(N,0()) -> U61(isNat(N)) 19: x(N,s(M)) -> U71(isNat(M),M,N) 20: 0() -> n__0() 21: plus(X1,X2) -> n__plus(X1,X2) 22: s(X) -> n__s(X) 23: x(X1,X2) -> n__x(X1,X2) 24: activate(n__0()) -> 0() 25: activate(n__plus(X1,X2)) -> plus(X1,X2) 26: activate(n__s(X)) -> s(X) 27: activate(n__x(X1,X2)) -> x(X1,X2) 28: activate(X) -> X Number of strict rules: 28 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #U41(tt(),N) -> #activate(N) #2: #isNat(n__plus(V1,V2)) -> #U11(isNat(activate(V1)),activate(V2)) #3: #isNat(n__plus(V1,V2)) -> #isNat(activate(V1)) #4: #isNat(n__plus(V1,V2)) -> #activate(V1) #5: #isNat(n__plus(V1,V2)) -> #activate(V2) #6: #U61(tt()) -> #0() #7: #U72(tt(),M,N) -> #plus(x(activate(N),activate(M)),activate(N)) #8: #U72(tt(),M,N) -> #x(activate(N),activate(M)) #9: #U72(tt(),M,N) -> #activate(N) #10: #U72(tt(),M,N) -> #activate(M) #11: #U72(tt(),M,N) -> #activate(N) #12: #activate(n__0()) -> #0() #13: #isNat(n__s(V1)) -> #U21(isNat(activate(V1))) #14: #isNat(n__s(V1)) -> #isNat(activate(V1)) #15: #isNat(n__s(V1)) -> #activate(V1) #16: #activate(n__plus(X1,X2)) -> #plus(X1,X2) #17: #U51(tt(),M,N) -> #U52(isNat(activate(N)),activate(M),activate(N)) #18: #U51(tt(),M,N) -> #isNat(activate(N)) #19: #U51(tt(),M,N) -> #activate(N) #20: #U51(tt(),M,N) -> #activate(M) #21: #U51(tt(),M,N) -> #activate(N) #22: #U71(tt(),M,N) -> #U72(isNat(activate(N)),activate(M),activate(N)) #23: #U71(tt(),M,N) -> #isNat(activate(N)) #24: #U71(tt(),M,N) -> #activate(N) #25: #U71(tt(),M,N) -> #activate(M) #26: #U71(tt(),M,N) -> #activate(N) #27: #activate(n__x(X1,X2)) -> #x(X1,X2) #28: #plus(N,s(M)) -> #U51(isNat(M),M,N) #29: #plus(N,s(M)) -> #isNat(M) #30: #x(N,s(M)) -> #U71(isNat(M),M,N) #31: #x(N,s(M)) -> #isNat(M) #32: #activate(n__s(X)) -> #s(X) #33: #plus(N,0()) -> #U41(isNat(N),N) #34: #plus(N,0()) -> #isNat(N) #35: #U11(tt(),V2) -> #U12(isNat(activate(V2))) #36: #U11(tt(),V2) -> #isNat(activate(V2)) #37: #U11(tt(),V2) -> #activate(V2) #38: #U52(tt(),M,N) -> #s(plus(activate(N),activate(M))) #39: #U52(tt(),M,N) -> #plus(activate(N),activate(M)) #40: #U52(tt(),M,N) -> #activate(N) #41: #U52(tt(),M,N) -> #activate(M) #42: #isNat(n__x(V1,V2)) -> #U31(isNat(activate(V1)),activate(V2)) #43: #isNat(n__x(V1,V2)) -> #isNat(activate(V1)) #44: #isNat(n__x(V1,V2)) -> #activate(V1) #45: #isNat(n__x(V1,V2)) -> #activate(V2) #46: #U31(tt(),V2) -> #U32(isNat(activate(V2))) #47: #U31(tt(),V2) -> #isNat(activate(V2)) #48: #U31(tt(),V2) -> #activate(V2) #49: #x(N,0()) -> #U61(isNat(N)) #50: #x(N,0()) -> #isNat(N) Number of SCCs: 1, DPs: 42 SCC { #1..5 #7..11 #14..31 #33 #34 #36 #37 #39..45 #47 #48 #50 } POLO(Sum)... POLO(max)... succeeded. #0 w: 0 #U72 w: max(x2 + 3, x3 + 5) #U32 w: 0 U21 w: x1 U11 w: max(x1) s w: x1 #isNat w: x1 + 1
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