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TRS Standard pair #487069321
details
property
value
status
complete
benchmark
gcd.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n189.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0451321 seconds
cpu usage
0.02396
user time
0.011713
system time
0.012247
max virtual memory
113188.0
max residence set size
7760.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: minus(X,s(Y)) -> pred(minus(X,Y)) 2: minus(X,0()) -> X 3: pred(s(X)) -> X 4: le(s(X),s(Y)) -> le(X,Y) 5: le(s(X),0()) -> false() 6: le(0(),Y) -> true() 7: gcd(0(),Y) -> 0() 8: gcd(s(X),0()) -> s(X) 9: gcd(s(X),s(Y)) -> if(le(Y,X),s(X),s(Y)) 10: if(true(),s(X),s(Y)) -> gcd(minus(X,Y),s(Y)) 11: if(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: #gcd(s(X),s(Y)) -> #if(le(Y,X),s(X),s(Y)) #2: #gcd(s(X),s(Y)) -> #le(Y,X) #3: #if(false(),s(X),s(Y)) -> #gcd(minus(Y,X),s(X)) #4: #if(false(),s(X),s(Y)) -> #minus(Y,X) #5: #if(true(),s(X),s(Y)) -> #gcd(minus(X,Y),s(Y)) #6: #if(true(),s(X),s(Y)) -> #minus(X,Y) #7: #minus(X,s(Y)) -> #pred(minus(X,Y)) #8: #minus(X,s(Y)) -> #minus(X,Y) #9: #le(s(X),s(Y)) -> #le(X,Y) Number of SCCs: 3, DPs: 5 SCC { #8 } 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 if w: 0 #minus w: x2 #pred w: 0 #if w: 0 #gcd w: 0 USABLE RULES: { } Removed DPs: #8 Number of SCCs: 2, DPs: 4 SCC { #9 } POLO(Sum)... succeeded. le w: 0 s w: x1 + 1 #le w: x1 + x2 minus w: 0 gcd w: 0 false w: 0 true w: 0 pred w: 0 0 w: 0 if w: 0 #minus w: 0 #pred w: 0 #if w: 0 #gcd w: 0 USABLE RULES: { } Removed DPs: #9 Number of SCCs: 1, DPs: 3 SCC { #1 #3 #5 } 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 if w: 0 #minus w: 0 #pred w: 0 #if w: x2 + x3 #gcd w: x1 + x2 + 1 USABLE RULES: { 1..3 } Removed DPs: #1 #3 #5 Number of SCCs: 0, DPs: 0
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