details

property	value
status	complete
benchmark	PEANO-NAT_nokinds-noand.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n159.star.cs.uiowa.edu
space	Mixed_C

run statistics

property	value
solver	NaTT
configuration	Default
runtime (wallclock)	0.973059 seconds
cpu usage	0.71
user time	0.64
system time	0.07
max virtual memory	353516.0
max residence set size	8876.0

stage attributes

key	value
starexec-result	MAYBE

output

0.71/0.96 MAYBE 0.71/0.97 Input TRS: 0.71/0.97 C symbols: d _+_ _*_ gcd 0.71/0.97 1: 1() -> s_(0()) 0.71/0.97 2: 2() -> s_(s_(0())) 0.71/0.97 3: 3() -> s_(s_(s_(0()))) 0.71/0.97 4: 4() -> s_(s_(s_(s_(0())))) 0.71/0.97 5: 5() -> s_(s_(s_(s_(s_(0()))))) 0.71/0.97 6: 6() -> s_(s_(s_(s_(s_(s_(0())))))) 0.71/0.97 7: 7() -> s_(s_(s_(s_(s_(s_(s_(0()))))))) 0.71/0.97 8: U101(tt(),M,N) -> U102(isNat(N),M,N) 0.71/0.97 9: U102(tt(),M,N) -> d(N,M) 0.71/0.97 10: U11(tt()) -> 0() 0.71/0.97 11: U111(tt()) -> 0() 0.71/0.97 12: U121(tt(),M',N') -> U122(isNzNat(N'),M',N') 0.71/0.97 13: U122(tt(),M',N') -> U123(equal(_>_(N',M'),true()),M',N') 0.71/0.97 14: U123(tt(),M',N') -> gcd(d(N',M'),M') 0.71/0.97 15: U131(tt(),N') -> N' 0.71/0.97 16: U141(tt(),V2) -> U142(isNat(V2)) 0.71/0.97 17: U142(tt()) -> tt() 0.71/0.97 18: U151(tt(),V2) -> U152(isNat(V2)) 0.71/0.97 19: U152(tt()) -> tt() 0.71/0.97 20: U161(tt()) -> tt() 0.71/0.97 21: U171(tt(),V2) -> U172(isNat(V2)) 0.71/0.97 22: U172(tt()) -> tt() 0.71/0.97 23: U181(tt(),V2) -> U182(isNat(V2)) 0.71/0.97 24: U182(tt()) -> tt() 0.71/0.97 25: U191(tt(),V2) -> U192(isNat(V2)) 0.71/0.97 26: U192(tt()) -> tt() 0.71/0.97 27: U201(tt(),V2) -> U202(isNat(V2)) 0.71/0.97 28: U202(tt()) -> tt() 0.71/0.97 29: U21(tt(),M,N) -> U22(isNat(N),M,N) 0.71/0.97 30: U211(tt()) -> tt() 0.71/0.97 31: U22(tt(),M,N) -> s_(_+_(N,_+_(M,_*_(N,M)))) 0.71/0.97 32: U221(tt(),V2) -> U222(isNzNat(V2)) 0.71/0.97 33: U222(tt()) -> tt() 0.71/0.97 34: U231(tt(),V2) -> U232(isNzNat(V2)) 0.71/0.97 35: U232(tt()) -> tt() 0.71/0.97 36: U241(tt(),V2) -> U242(isNzNat(V2)) 0.71/0.97 37: U242(tt()) -> tt() 0.71/0.97 38: U251(tt()) -> tt() 0.71/0.97 39: U261(tt(),N) -> N 0.71/0.97 40: U271(tt()) -> s_(0()) 0.71/0.97 41: U281(tt(),M',N) -> U282(isNat(N),M',N) 0.71/0.97 42: U282(tt(),M',N) -> U283(equal(_>_(M',N),true())) 0.71/0.97 43: U283(tt()) -> 0() 0.71/0.97 44: U291(tt(),M',N) -> U292(isNat(N),M',N) 0.71/0.97 45: U292(tt(),M',N) -> U293(equal(_>_(N,M'),true()),M',N) 0.71/0.97 46: U293(tt(),M',N) -> s_(quot(d(N,M'),M')) 0.71/0.97 47: U31(tt(),N) -> N 0.71/0.97 48: U41(tt(),M,N) -> U42(isNat(N),M,N) 0.71/0.97 49: U42(tt(),M,N) -> s_(s_(_+_(N,M))) 0.71/0.97 50: U51(tt(),M,N) -> U52(isNat(N),M,N) 0.71/0.97 51: U52(tt(),M,N) -> _>_(M,N) 0.71/0.97 52: U61(tt()) -> false() 0.71/0.97 53: U71(tt()) -> true() 0.71/0.97 54: U81(tt(),M,N) -> U82(isNat(N),M,N) 0.71/0.97 55: U82(tt(),M,N) -> _>_(N,M) 0.71/0.97 56: U91(tt(),N) -> N 0.71/0.97 57: _*_(N,0()) -> U11(isNat(N)) 0.71/0.97 58: _*_(s_(N),s_(M)) -> U21(isNat(M),M,N) 0.71/0.97 59: _+_(N,0()) -> U31(isNat(N),N) 0.71/0.97 60: _+_(s_(N),s_(M)) -> U41(isNat(M),M,N) 0.71/0.97 61: _<_(N,M) -> U51(isNat(M),M,N) 0.71/0.97 62: _>_(0(),M) -> U61(isNat(M)) 0.71/0.97 63: _>_(N',0()) -> U71(isNzNat(N')) 0.71/0.97 64: _>_(s_(N),s_(M)) -> U81(isNat(M),M,N) 0.71/0.97 65: d(0(),N) -> U91(isNat(N),N) 0.71/0.97 66: d(s_(N),s_(M)) -> U101(isNat(M),M,N) 0.71/0.97 67: equal(X,X) -> tt() 0.71/0.97 68: gcd(0(),N) -> U111(isNat(N)) 0.71/0.97 69: gcd(N',M') -> U121(isNzNat(M'),M',N') 0.71/0.97 70: gcd(N',N') -> U131(isNzNat(N'),N') 0.71/0.97 71: isBoolean(false()) -> tt() 0.71/0.97 72: isBoolean(true()) -> tt() 0.71/0.97 73: isBoolean(_<_(V1,V2)) -> U141(isNat(V1),V2) 0.71/0.97 74: isBoolean(_>_(V1,V2)) -> U151(isNat(V1),V2) 0.71/0.97 75: isNat(0()) -> tt() 0.71/0.97 76: isNat(V) -> U161(isNzNat(V)) 0.71/0.97 77: isNat(_*_(V1,V2)) -> U171(isNat(V1),V2) 0.71/0.97 78: isNat(_+_(V1,V2)) -> U181(isNat(V1),V2) 0.71/0.97 79: isNat(d(V1,V2)) -> U191(isNat(V1),V2) 0.71/0.97 80: isNat(gcd(V1,V2)) -> U201(isNat(V1),V2) 0.71/0.97 81: isNat(p_(V1)) -> U211(isNzNat(V1)) 0.71/0.97 82: isNat(quot(V1,V2)) -> U221(isNat(V1),V2) 0.71/0.97 83: isNzNat(1()) -> tt() 0.71/0.97 84: isNzNat(2()) -> tt() 0.71/0.97 85: isNzNat(3()) -> tt() 0.71/0.97 86: isNzNat(4()) -> tt() 0.71/0.97 87: isNzNat(5()) -> tt() 0.71/0.97 88: isNzNat(6()) -> tt() 0.71/0.97 89: isNzNat(7()) -> tt() 0.71/0.97 90: isNzNat(_*_(V1,V2)) -> U231(isNzNat(V1),V2) 0.71/0.97 91: isNzNat(gcd(V1,V2)) -> U241(isNzNat(V1),V2) 0.71/0.97 92: isNzNat(s_(V1)) -> U251(isNat(V1)) 0.71/0.97 93: p_(s_(N)) -> U261(isNat(N),N) 0.71/0.97 94: quot(M',M') -> U271(isNzNat(M')) 0.71/0.97 95: quot(N,M') -> U281(isNzNat(M'),M',N) 0.71/0.97 96: quot(N,M') -> U291(isNzNat(M'),M',N) 0.71/0.97 Number of strict rules: 96 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