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TRS Standard pair #487067456
details
property
value
status
complete
benchmark
#3.42.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n178.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0762859 seconds
cpu usage
0.029429
user time
0.004623
system time
0.024806
max virtual memory
113188.0
max residence set size
9244.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: half(0()) -> 0() 2: half(s(0())) -> 0() 3: half(s(s(x))) -> s(half(x)) 4: lastbit(0()) -> 0() 5: lastbit(s(0())) -> s(0()) 6: lastbit(s(s(x))) -> lastbit(x) 7: conv(0()) -> cons(nil(),0()) 8: conv(s(x)) -> cons(conv(half(s(x))),lastbit(s(x))) Number of strict rules: 8 Direct POLO(bPol) ... failed. Uncurrying lastbit half 1: half^1_0() -> 0() 2: half^1_s(0()) -> 0() 3: half^1_s(s(x)) -> s(half(x)) 4: lastbit^1_0() -> 0() 5: lastbit^1_s(0()) -> s(0()) 6: lastbit^1_s(s(x)) -> lastbit(x) 7: conv(0()) -> cons(nil(),0()) 8: conv(s(x)) -> cons(conv(half^1_s(x)),lastbit^1_s(x)) 9: half(0()) ->= half^1_0() 10: half(s(_1)) ->= half^1_s(_1) 11: lastbit(0()) ->= lastbit^1_0() 12: lastbit(s(_1)) ->= lastbit^1_s(_1) Number of strict rules: 8 Direct POLO(bPol) ... removes: 4 10 7 12 11 6 conv w: x1 + 32280 s w: 2 * x1 + 9728 lastbit^1_s w: x1 + 9728 half^1_s w: x1 half w: x1 lastbit w: x1 + 19454 0 w: 0 nil w: 32279 half^1_0 w: 0 cons w: x1 + x2 lastbit^1_0 w: 2 Number of strict rules: 5 Direct POLO(bPol) ... removes: 8 1 3 5 9 2 conv w: 2 * x1 + 15842 s w: 2 * x1 + 26431 lastbit^1_s w: 2 * x1 + 26432 half^1_s w: x1 + 5 half w: x1 + 2 lastbit w: x1 + 9728 0 w: 15261 nil w: 4684 half^1_0 w: 15262 cons w: x1 + x2 + 26419 lastbit^1_0 w: 15263 Number of strict rules: 0
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