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TRS Equational pair #487092853
details
property
value
status
complete
benchmark
AC42.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
Mixed_C
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0437331 seconds
cpu usage
0.023863
user time
0.011926
system time
0.011937
max virtual memory
113188.0
max residence set size
6512.0
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: pred(s(x)) -> x 5: minus(x,0()) -> x 6: minus(x,s(y)) -> pred(minus(x,y)) 7: gcd(0(),y) -> y 8: gcd(s(x),0()) -> s(x) 9: gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) 10: if_gcd(true(),s(x),s(y)) -> gcd(minus(x,y),s(y)) 11: if_gcd(false(),s(x),s(y)) -> gcd(minus(y,x),s(x)) Number of strict rules: 11 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #minus(x,s(y)) -> #pred(minus(x,y)) #2: #minus(x,s(y)) -> #minus(x,y) #3: #gcd(s(x),s(y)) -> #if_gcd(le(y,x),s(x),s(y)) #4: #gcd(s(x),s(y)) -> #le(y,x) #5: #if_gcd(false(),s(x),s(y)) -> #gcd(minus(y,x),s(x)) #6: #if_gcd(false(),s(x),s(y)) -> #minus(y,x) #7: #if_gcd(true(),s(x),s(y)) -> #gcd(minus(x,y),s(y)) #8: #if_gcd(true(),s(x),s(y)) -> #minus(x,y) #9: #le(s(x),s(y)) -> #le(x,y) Number of SCCs: 3, DPs: 5 SCC { #2 } POLO(Sum)... succeeded. le w: 0 s w: x1 + 1 #le w: 0 minus w: 0 gcd w: 0 false w: 0 true w: 0 pred w: 0 0 w: 0 #minus w: x2 #pred w: 0 if_gcd w: 0 #if_gcd w: 0 #gcd w: 0 USABLE RULES: { } Removed DPs: #2 Number of SCCs: 2, DPs: 4 SCC { #9 } POLO(Sum)... succeeded. le w: 0 s w: x1 + 1 #le w: x2 minus w: 0 gcd w: 0 false w: 0 true w: 0 pred w: 0 0 w: 0 #minus w: 0 #pred w: 0 if_gcd w: 0 #if_gcd w: 0 #gcd w: 0 USABLE RULES: { } Removed DPs: #9 Number of SCCs: 1, DPs: 3 SCC { #3 #5 #7 } POLO(Sum)... succeeded. le w: x1 + x2 + 1 s w: x1 + 3 #le w: 0 minus w: x1 + 1 gcd w: 0 false w: 6 true w: 3 pred w: x1 0 w: 1 #minus w: 0 #pred w: 0 if_gcd w: 0 #if_gcd w: x2 + x3 #gcd w: x1 + x2 + 1 USABLE RULES: { 4..6 } Removed DPs: #3 #5 #7 Number of SCCs: 0, DPs: 0 Next Dependency Pairs: Number of SCCs: 0, DPs: 0
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