details

property	value
status	complete
benchmark	PEANO-NAT_complete.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n177.star.cs.uiowa.edu
space	Mixed_C

run statistics

property	value
solver	NaTT
configuration	Default
runtime (wallclock)	1.49075 seconds
cpu usage	1.34182
user time	1.17401
system time	0.167814
max virtual memory	367300.0
max residence set size	8884.0

stage attributes

key	value
starexec-result	MAYBE

output

1.33/1.48 MAYBE 1.33/1.48 Input TRS: 1.33/1.48 C symbols: d _+_ _*_ gcd 1.33/1.48 1: 1() -> s_(0()) 1.33/1.48 2: 2() -> s_(s_(0())) 1.33/1.48 3: 3() -> s_(s_(s_(0()))) 1.33/1.48 4: 4() -> s_(s_(s_(s_(0())))) 1.33/1.48 5: 5() -> s_(s_(s_(s_(s_(0()))))) 1.33/1.48 6: 6() -> s_(s_(s_(s_(s_(s_(0())))))) 1.33/1.48 7: 7() -> s_(s_(s_(s_(s_(s_(s_(0()))))))) 1.33/1.48 8: U101(tt(),M,N) -> d(N,M) 1.33/1.48 9: U11(tt()) -> 0() 1.33/1.48 10: U111(tt()) -> 0() 1.33/1.48 11: U121(tt(),M',N') -> U122(equal(_>_(N',M'),true()),M',N') 1.33/1.48 12: U122(tt(),M',N') -> gcd(d(N',M'),M') 1.33/1.48 13: U131(tt(),N') -> N' 1.33/1.48 14: U141(tt(),V1,V2) -> U142(isNat(V1),V2) 1.33/1.48 15: U142(tt(),V2) -> U143(isNat(V2)) 1.33/1.48 16: U143(tt()) -> tt() 1.33/1.48 17: U151(tt(),V1,V2) -> U152(isNat(V1),V2) 1.33/1.48 18: U152(tt(),V2) -> U153(isNat(V2)) 1.33/1.48 19: U153(tt()) -> tt() 1.33/1.48 20: U161(tt(),V) -> U162(isNzNat(V)) 1.33/1.48 21: U162(tt()) -> tt() 1.33/1.48 22: U171(tt(),V1,V2) -> U172(isNat(V1),V2) 1.33/1.48 23: U172(tt(),V2) -> U173(isNat(V2)) 1.33/1.48 24: U173(tt()) -> tt() 1.33/1.48 25: U181(tt(),V1,V2) -> U182(isNat(V1),V2) 1.33/1.48 26: U182(tt(),V2) -> U183(isNat(V2)) 1.33/1.48 27: U183(tt()) -> tt() 1.33/1.48 28: U191(tt(),V1,V2) -> U192(isNat(V1),V2) 1.33/1.48 29: U192(tt(),V2) -> U193(isNat(V2)) 1.33/1.48 30: U193(tt()) -> tt() 1.33/1.48 31: U201(tt(),V1,V2) -> U202(isNat(V1),V2) 1.33/1.48 32: U202(tt(),V2) -> U203(isNat(V2)) 1.33/1.48 33: U203(tt()) -> tt() 1.33/1.48 34: U21(tt(),M,N) -> s_(_+_(N,_+_(M,_*_(N,M)))) 1.33/1.48 35: U211(tt(),V1) -> U212(isNzNat(V1)) 1.33/1.48 36: U212(tt()) -> tt() 1.33/1.48 37: U221(tt(),V1,V2) -> U222(isNat(V1),V2) 1.33/1.48 38: U222(tt(),V2) -> U223(isNzNat(V2)) 1.33/1.48 39: U223(tt()) -> tt() 1.33/1.48 40: U231(tt(),V1,V2) -> U232(isNzNat(V1),V2) 1.33/1.48 41: U232(tt(),V2) -> U233(isNzNat(V2)) 1.33/1.48 42: U233(tt()) -> tt() 1.33/1.48 43: U241(tt(),V1,V2) -> U242(isNzNat(V1),V2) 1.33/1.48 44: U242(tt(),V2) -> U243(isNzNat(V2)) 1.33/1.48 45: U243(tt()) -> tt() 1.33/1.48 46: U251(tt(),V1) -> U252(isNat(V1)) 1.33/1.48 47: U252(tt()) -> tt() 1.33/1.48 48: U261(tt(),N) -> N 1.33/1.48 49: U271(tt()) -> s_(0()) 1.33/1.48 50: U281(tt(),M',N) -> U282(equal(_>_(M',N),true())) 1.33/1.48 51: U282(tt()) -> 0() 1.33/1.48 52: U291(tt(),M',N) -> U292(equal(_>_(N,M'),true()),M',N) 1.33/1.48 53: U292(tt(),M',N) -> s_(quot(d(N,M'),M')) 1.33/1.48 54: U31(tt(),N) -> N 1.33/1.48 55: U41(tt(),M,N) -> s_(s_(_+_(N,M))) 1.33/1.48 56: U51(tt(),M,N) -> _>_(M,N) 1.33/1.48 57: U61(tt()) -> false() 1.33/1.48 58: U71(tt()) -> true() 1.33/1.48 59: U81(tt(),M,N) -> _>_(N,M) 1.33/1.48 60: U91(tt(),N) -> N 1.33/1.48 61: _*_(N,0()) -> U11(and(isNat(N),isNatKind(N))) 1.33/1.48 62: _*_(s_(N),s_(M)) -> U21(and(and(isNat(M),isNatKind(M)),and(isNat(N),isNatKind(N))),M,N) 1.33/1.48 63: _+_(N,0()) -> U31(and(isNat(N),isNatKind(N)),N) 1.33/1.48 64: _+_(s_(N),s_(M)) -> U41(and(and(isNat(M),isNatKind(M)),and(isNat(N),isNatKind(N))),M,N) 1.33/1.48 65: _<_(N,M) -> U51(and(and(isNat(M),isNatKind(M)),and(isNat(N),isNatKind(N))),M,N) 1.33/1.48 66: _>_(0(),M) -> U61(and(isNat(M),isNatKind(M))) 1.33/1.48 67: _>_(N',0()) -> U71(and(isNzNat(N'),isNatKind(N'))) 1.33/1.48 68: _>_(s_(N),s_(M)) -> U81(and(and(isNat(M),isNatKind(M)),and(isNat(N),isNatKind(N))),M,N) 1.33/1.48 69: and(tt(),X) -> X 1.33/1.48 70: d(0(),N) -> U91(and(isNat(N),isNatKind(N)),N) 1.33/1.48 71: d(s_(N),s_(M)) -> U101(and(and(isNat(M),isNatKind(M)),and(isNat(N),isNatKind(N))),M,N) 1.33/1.48 72: equal(X,X) -> tt() 1.33/1.48 73: gcd(0(),N) -> U111(and(isNat(N),isNatKind(N))) 1.33/1.48 74: gcd(N',M') -> U121(and(and(isNzNat(M'),isNatKind(M')),and(isNzNat(N'),isNatKind(N'))),M',N') 1.33/1.48 75: gcd(N',N') -> U131(and(isNzNat(N'),isNatKind(N')),N') 1.33/1.48 76: isBoolean(false()) -> tt() 1.33/1.48 77: isBoolean(true()) -> tt() 1.33/1.48 78: isBoolean(_<_(V1,V2)) -> U141(and(isNatKind(V1),isNatKind(V2)),V1,V2) 1.33/1.48 79: isBoolean(_>_(V1,V2)) -> U151(and(isNatKind(V1),isNatKind(V2)),V1,V2) 1.33/1.48 80: isBooleanKind(false()) -> tt() 1.33/1.48 81: isBooleanKind(true()) -> tt() 1.33/1.48 82: isBooleanKind(_<_(V1,V2)) -> and(isNatKind(V1),isNatKind(V2)) 1.33/1.48 83: isBooleanKind(_>_(V1,V2)) -> and(isNatKind(V1),isNatKind(V2)) 1.33/1.48 84: isNat(0()) -> tt() 1.33/1.48 85: isNat(V) -> U161(isNatKind(V),V) 1.33/1.48 86: isNat(_*_(V1,V2)) -> U171(and(isNatKind(V1),isNatKind(V2)),V1,V2) 1.33/1.48 87: isNat(_+_(V1,V2)) -> U181(and(isNatKind(V1),isNatKind(V2)),V1,V2) 1.33/1.48 88: isNat(d(V1,V2)) -> U191(and(isNatKind(V1),isNatKind(V2)),V1,V2) 1.33/1.48 89: isNat(gcd(V1,V2)) -> U201(and(isNatKind(V1),isNatKind(V2)),V1,V2) 1.33/1.48 90: isNat(p_(V1)) -> U211(isNatKind(V1),V1) 1.33/1.48 91: isNat(quot(V1,V2)) -> U221(and(isNatKind(V1),isNatKind(V2)),V1,V2) 1.33/1.48 92: isNatKind(0()) -> tt() 1.33/1.48 93: isNatKind(1()) -> tt() 1.33/1.48 94: isNatKind(2()) -> tt() 1.33/1.48 95: isNatKind(3()) -> tt() 1.33/1.48 96: isNatKind(4()) -> tt() 1.33/1.48 97: isNatKind(5()) -> tt() popout

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

job log

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actions

all output return to TRS_Equational 2019-03-21 05.09