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TRS Standard pair #487066911
details
property
value
status
complete
benchmark
hydra_touzet.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n180.star.cs.uiowa.edu
space
Hydras
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.490428 seconds
cpu usage
0.099889
user time
0.065005
system time
0.034884
max virtual memory
113188.0
max residence set size
6436.0
stage attributes
key
value
starexec-result
MAYBE
output
MAYBE Input TRS: 1: o(x) -> a(l(x)) 2: a(l(x)) -> l(a(a(x))) 3: l(o(x)) -> o(l(x)) 4: a(x) -> x 5: H(0(),x) -> o(x) 6: a(H(H(0(),y),z)) -> c1(y,z) 7: a(H(H(H(0(),x),y),z)) -> c2(x,y,z) 8: c2(x,y,z) -> o(H(y,z)) 9: a(c1(x,y)) -> c1(x,H(x,y)) 10: a(c2(x,y,z)) -> c2(x,H(x,y),z) 11: c1(y,z) -> o(z) Number of strict rules: 11 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a(l(x)) -> #l(a(a(x))) #2: #a(l(x)) -> #a(a(x)) #3: #a(l(x)) -> #a(x) #4: #a(H(H(0(),y),z)) -> #c1(y,z) #5: #a(c1(x,y)) -> #c1(x,H(x,y)) #6: #a(c1(x,y)) -> #H(x,y) #7: #c1(y,z) -> #o(z) #8: #a(H(H(H(0(),x),y),z)) -> #c2(x,y,z) #9: #a(c2(x,y,z)) -> #c2(x,H(x,y),z) #10: #a(c2(x,y,z)) -> #H(x,y) #11: #H(0(),x) -> #o(x) #12: #l(o(x)) -> #o(l(x)) #13: #l(o(x)) -> #l(x) #14: #o(x) -> #a(l(x)) #15: #o(x) -> #l(x) #16: #c2(x,y,z) -> #o(H(y,z)) #17: #c2(x,y,z) -> #H(y,z) Number of SCCs: 1, DPs: 17 SCC { #1..17 } POLO(Sum)... POLO(max)... succeeded. a w: x1 c1 w: max(x1 + 1, x2) l w: x1 H w: max(x1 + 1, x2) o w: x1 0 w: 32285 c2 w: max(x1 + 2, x2 + 1, x3) #o w: x1 + 1 #H w: max(x2 + 1) #l w: x1 + 1 #a w: x1 + 1 #c1 w: max(x2 + 1) #c2 w: max(x1 + 3, x2 + 2, x3 + 1) USABLE RULES: { 1..11 } Removed DPs: #10 Number of SCCs: 1, DPs: 16 SCC { #1..9 #11..17 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.
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