details

property	value
status	complete
benchmark	AC44.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n145.star.cs.uiowa.edu
space	Mixed_C

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.0672359 seconds
cpu usage	0.028388
user time	0.016402
system time	0.011986
max virtual memory	113188.0
max residence set size	7152.0

stage attributes

key	value
starexec-result	YES

output

YES Input TRS: C symbols: gcd 1: le(0(),y) -> true() 2: le(s(x),0()) -> false() 3: le(s(x),s(y)) -> le(x,y) 4: minus(0(),y) -> 0() 5: minus(s(x),y) -> if_minus(le(s(x),y),s(x),y) 6: if_minus(true(),s(x),y) -> 0() 7: if_minus(false(),s(x),y) -> s(minus(x,y)) 8: gcd(0(),y) -> y 9: gcd(s(x),0()) -> s(x) 10: gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) 11: if_gcd(true(),s(x),s(y)) -> gcd(minus(x,y),s(y)) 12: if_gcd(false(),s(x),s(y)) -> gcd(minus(y,x),s(x)) Number of strict rules: 12 Direct POLO(bPol) ... failed. Uncurrying le C symbols: gcd 1: le^1_0(y) -> true() 2: le^1_s(x,0()) -> false() 3: le^1_s(x,s(y)) -> le(x,y) 4: minus(0(),y) -> 0() 5: minus(s(x),y) -> if_minus(le^1_s(x,y),s(x),y) 6: if_minus(true(),s(x),y) -> 0() 7: if_minus(false(),s(x),y) -> s(minus(x,y)) 8: gcd(0(),y) -> y 9: gcd(s(x),0()) -> s(x) 10: gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) 11: if_gcd(true(),s(x),s(y)) -> gcd(minus(x,y),s(y)) 12: if_gcd(false(),s(x),s(y)) -> gcd(minus(y,x),s(x)) 13: le(0(),_1) ->= le^1_0(_1) 14: le(s(_1),_2) ->= le^1_s(_1,_2) Number of strict rules: 12 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #le(0(),_1) ->? #le^1_0(_1) #2: #if_gcd(true(),s(x),s(y)) -> #gcd(minus(x,y),s(y)) #3: #if_gcd(true(),s(x),s(y)) -> #minus(x,y) #4: #if_gcd(false(),s(x),s(y)) -> #gcd(minus(y,x),s(x)) #5: #if_gcd(false(),s(x),s(y)) -> #minus(y,x) #6: #le(s(_1),_2) ->? #le^1_s(_1,_2) #7: #if_minus(false(),s(x),y) -> #minus(x,y) #8: #gcd(s(x),s(y)) -> #if_gcd(le(y,x),s(x),s(y)) #9: #gcd(s(x),s(y)) -> #le(y,x) #10: #minus(s(x),y) -> #if_minus(le^1_s(x,y),s(x),y) #11: #minus(s(x),y) -> #le^1_s(x,y) #12: #le^1_s(x,s(y)) -> #le(x,y) Number of SCCs: 3, DPs: 7 SCC { #6 #12 } POLO(Sum)... succeeded. #le^1_s w: x1 + x2 le w: 0 le^1_s w: 0 s w: x1 + 1 #le w: x1 + x2 #le^1_0 w: 0 minus w: 0 gcd w: 0 false w: 0 true w: 0 0 w: 0 #if_minus w: 0 #minus w: 0 le^1_0 w: 0 if_minus w: 0 if_gcd w: 0 #if_gcd w: 0 #gcd w: 0 USABLE RULES: { } Removed DPs: #6 #12 Number of SCCs: 2, DPs: 5 SCC { #7 #10 } POLO(Sum)... succeeded. #le^1_s w: 0 le w: x1 le^1_s w: x2 + 3 s w: x1 + 2 #le w: 0 #le^1_0 w: 0 minus w: 0 gcd w: 0 false w: 5 true w: 3 0 w: 1 #if_minus w: x2 + x3 #minus w: x1 + x2 + 1 le^1_0 w: x1 + 2 if_minus w: 0 if_gcd w: 0 #if_gcd w: 0 #gcd w: 0 USABLE RULES: { } Removed DPs: #7 #10 Number of SCCs: 1, DPs: 3 SCC { #2 #4 #8 } POLO(Sum)... succeeded. #le^1_s w: 0 le w: x1 + x2 + 1 le^1_s w: 5 popout

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

job log

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actions

all output return to TRS Equational