details

property	value
status	complete
benchmark	PEANO_complete_noand_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n073.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.425584 seconds
cpu usage	0.107139
user time	0.070844
system time	0.036295
max virtual memory	113188.0
max residence set size	6276.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: 1: a__U11(tt(),V1,V2) -> a__U12(a__isNatKind(V1),V1,V2) 2: a__U12(tt(),V1,V2) -> a__U13(a__isNatKind(V2),V1,V2) 3: a__U13(tt(),V1,V2) -> a__U14(a__isNatKind(V2),V1,V2) 4: a__U14(tt(),V1,V2) -> a__U15(a__isNat(V1),V2) 5: a__U15(tt(),V2) -> a__U16(a__isNat(V2)) 6: a__U16(tt()) -> tt() 7: a__U21(tt(),V1) -> a__U22(a__isNatKind(V1),V1) 8: a__U22(tt(),V1) -> a__U23(a__isNat(V1)) 9: a__U23(tt()) -> tt() 10: a__U31(tt(),V2) -> a__U32(a__isNatKind(V2)) 11: a__U32(tt()) -> tt() 12: a__U41(tt()) -> tt() 13: a__U51(tt(),N) -> a__U52(a__isNatKind(N),N) 14: a__U52(tt(),N) -> mark(N) 15: a__U61(tt(),M,N) -> a__U62(a__isNatKind(M),M,N) 16: a__U62(tt(),M,N) -> a__U63(a__isNat(N),M,N) 17: a__U63(tt(),M,N) -> a__U64(a__isNatKind(N),M,N) 18: a__U64(tt(),M,N) -> s(a__plus(mark(N),mark(M))) 19: a__isNat(0()) -> tt() 20: a__isNat(plus(V1,V2)) -> a__U11(a__isNatKind(V1),V1,V2) 21: a__isNat(s(V1)) -> a__U21(a__isNatKind(V1),V1) 22: a__isNatKind(0()) -> tt() 23: a__isNatKind(plus(V1,V2)) -> a__U31(a__isNatKind(V1),V2) 24: a__isNatKind(s(V1)) -> a__U41(a__isNatKind(V1)) 25: a__plus(N,0()) -> a__U51(a__isNat(N),N) 26: a__plus(N,s(M)) -> a__U61(a__isNat(M),M,N) 27: mark(U11(X1,X2,X3)) -> a__U11(mark(X1),X2,X3) 28: mark(U12(X1,X2,X3)) -> a__U12(mark(X1),X2,X3) 29: mark(isNatKind(X)) -> a__isNatKind(X) 30: mark(U13(X1,X2,X3)) -> a__U13(mark(X1),X2,X3) 31: mark(U14(X1,X2,X3)) -> a__U14(mark(X1),X2,X3) 32: mark(U15(X1,X2)) -> a__U15(mark(X1),X2) 33: mark(isNat(X)) -> a__isNat(X) 34: mark(U16(X)) -> a__U16(mark(X)) 35: mark(U21(X1,X2)) -> a__U21(mark(X1),X2) 36: mark(U22(X1,X2)) -> a__U22(mark(X1),X2) 37: mark(U23(X)) -> a__U23(mark(X)) 38: mark(U31(X1,X2)) -> a__U31(mark(X1),X2) 39: mark(U32(X)) -> a__U32(mark(X)) 40: mark(U41(X)) -> a__U41(mark(X)) 41: mark(U51(X1,X2)) -> a__U51(mark(X1),X2) 42: mark(U52(X1,X2)) -> a__U52(mark(X1),X2) 43: mark(U61(X1,X2,X3)) -> a__U61(mark(X1),X2,X3) 44: mark(U62(X1,X2,X3)) -> a__U62(mark(X1),X2,X3) 45: mark(U63(X1,X2,X3)) -> a__U63(mark(X1),X2,X3) 46: mark(U64(X1,X2,X3)) -> a__U64(mark(X1),X2,X3) 47: mark(plus(X1,X2)) -> a__plus(mark(X1),mark(X2)) 48: mark(tt()) -> tt() 49: mark(s(X)) -> s(mark(X)) 50: mark(0()) -> 0() 51: a__U11(X1,X2,X3) -> U11(X1,X2,X3) 52: a__U12(X1,X2,X3) -> U12(X1,X2,X3) 53: a__isNatKind(X) -> isNatKind(X) 54: a__U13(X1,X2,X3) -> U13(X1,X2,X3) 55: a__U14(X1,X2,X3) -> U14(X1,X2,X3) 56: a__U15(X1,X2) -> U15(X1,X2) 57: a__isNat(X) -> isNat(X) 58: a__U16(X) -> U16(X) 59: a__U21(X1,X2) -> U21(X1,X2) 60: a__U22(X1,X2) -> U22(X1,X2) 61: a__U23(X) -> U23(X) 62: a__U31(X1,X2) -> U31(X1,X2) 63: a__U32(X) -> U32(X) 64: a__U41(X) -> U41(X) 65: a__U51(X1,X2) -> U51(X1,X2) 66: a__U52(X1,X2) -> U52(X1,X2) 67: a__U61(X1,X2,X3) -> U61(X1,X2,X3) 68: a__U62(X1,X2,X3) -> U62(X1,X2,X3) 69: a__U63(X1,X2,X3) -> U63(X1,X2,X3) 70: a__U64(X1,X2,X3) -> U64(X1,X2,X3) 71: a__plus(X1,X2) -> plus(X1,X2) Number of strict rules: 71 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a__U12(tt(),V1,V2) -> #a__U13(a__isNatKind(V2),V1,V2) #2: #a__U12(tt(),V1,V2) -> #a__isNatKind(V2) #3: #mark(U61(X1,X2,X3)) -> #a__U61(mark(X1),X2,X3) #4: #mark(U61(X1,X2,X3)) -> #mark(X1) #5: #mark(isNatKind(X)) -> #a__isNatKind(X) #6: #mark(U21(X1,X2)) -> #a__U21(mark(X1),X2) #7: #mark(U21(X1,X2)) -> #mark(X1) #8: #mark(U64(X1,X2,X3)) -> #a__U64(mark(X1),X2,X3) #9: #mark(U64(X1,X2,X3)) -> #mark(X1) #10: #mark(U52(X1,X2)) -> #a__U52(mark(X1),X2) #11: #mark(U52(X1,X2)) -> #mark(X1) #12: #mark(U51(X1,X2)) -> #a__U51(mark(X1),X2) #13: #mark(U51(X1,X2)) -> #mark(X1) #14: #mark(U23(X)) -> #a__U23(mark(X)) #15: #mark(U23(X)) -> #mark(X) #16: #mark(plus(X1,X2)) -> #a__plus(mark(X1),mark(X2)) #17: #mark(plus(X1,X2)) -> #mark(X1) #18: #mark(plus(X1,X2)) -> #mark(X2) #19: #mark(U31(X1,X2)) -> #a__U31(mark(X1),X2) #20: #mark(U31(X1,X2)) -> #mark(X1) #21: #mark(U41(X)) -> #a__U41(mark(X)) #22: #mark(U41(X)) -> #mark(X) #23: #a__U51(tt(),N) -> #a__U52(a__isNatKind(N),N) popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS Standard