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TRS Standard pair #487072251
details
property
value
status
complete
benchmark
aprove09.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n173.star.cs.uiowa.edu
space
Secret_07_TRS
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.26108 seconds
cpu usage
0.068507
user time
0.041487
system time
0.02702
max virtual memory
113188.0
max residence set size
6380.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE Input TRS: 1: div(x,y) -> div2(x,y,0()) 2: div2(x,y,i) -> if1(le(y,0()),le(y,x),x,y,plus(i,0()),inc(i)) 3: if1(true(),b,x,y,i,j) -> divZeroError() 4: if1(false(),b,x,y,i,j) -> if2(b,x,y,i,j) 5: if2(true(),x,y,i,j) -> div2(minus(x,y),y,j) 6: if2(false(),x,y,i,j) -> i 7: inc(0()) -> 0() 8: inc(s(i)) -> s(inc(i)) 9: le(s(x),0()) -> false() 10: le(0(),y) -> true() 11: le(s(x),s(y)) -> le(x,y) 12: minus(x,0()) -> x 13: minus(0(),y) -> 0() 14: minus(s(x),s(y)) -> minus(x,y) 15: plus(x,y) -> plusIter(x,y,0()) 16: plusIter(x,y,z) -> ifPlus(le(x,z),x,y,z) 17: ifPlus(true(),x,y,z) -> y 18: ifPlus(false(),x,y,z) -> plusIter(x,s(y),s(z)) 19: a() -> c() 20: a() -> d() Number of strict rules: 20 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #div2(x,y,i) -> #if1(le(y,0()),le(y,x),x,y,plus(i,0()),inc(i)) #2: #div2(x,y,i) -> #le(y,0()) #3: #div2(x,y,i) -> #le(y,x) #4: #div2(x,y,i) -> #plus(i,0()) #5: #div2(x,y,i) -> #inc(i) #6: #le(s(x),s(y)) -> #le(x,y) #7: #minus(s(x),s(y)) -> #minus(x,y) #8: #if2(true(),x,y,i,j) -> #div2(minus(x,y),y,j) #9: #if2(true(),x,y,i,j) -> #minus(x,y) #10: #plusIter(x,y,z) -> #ifPlus(le(x,z),x,y,z) #11: #plusIter(x,y,z) -> #le(x,z) #12: #div(x,y) -> #div2(x,y,0()) #13: #inc(s(i)) -> #inc(i) #14: #plus(x,y) -> #plusIter(x,y,0()) #15: #if1(false(),b,x,y,i,j) -> #if2(b,x,y,i,j) #16: #ifPlus(false(),x,y,z) -> #plusIter(x,s(y),s(z)) Number of SCCs: 5, DPs: 8 SCC { #13 } POLO(Sum)... succeeded. a w: 0 le w: 0 plusIter w: 0 #div w: 0 d w: 0 s w: x1 + 1 #le w: 0 minus w: 0 #plus w: 0 if1 w: 0 false w: 0 div w: 0 #inc w: x1 c w: 0 inc w: 0 true w: 0 #if1 w: 0 if2 w: 0 0 w: 0 div2 w: 0 divZeroError w: 0 #div2 w: 0 #minus w: 0 ifPlus w: 0 plus w: 0 #a w: 0 #ifPlus w: 0 #if2 w: 0 #plusIter w: 0 USABLE RULES: { } Removed DPs: #13 Number of SCCs: 4, DPs: 7 SCC { #6 } POLO(Sum)... succeeded. a w: 0 le w: 0 plusIter w: 0 #div w: 0 d w: 0 s w: x1 + 1 #le w: x2 minus w: 0 #plus w: 0 if1 w: 0 false w: 0 div w: 0 #inc w: 0 c w: 0 inc w: 0 true w: 0 #if1 w: 0 if2 w: 0 0 w: 0 div2 w: 0 divZeroError w: 0
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