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TRS Standard pair #487067457
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
n175.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.10582 seconds
cpu usage
2.88922
user time
2.37486
system time
0.514361
max virtual memory
1939940.0
max residence set size
88152.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) lastbit(0()) -> 0() lastbit(s(0())) -> s(0()) lastbit(s(s(x))) -> lastbit(x) conv(0()) -> cons(nil(),0()) conv(s(x)) -> cons(conv(half(s(x))),lastbit(s(x))) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [0] [conv](x0) = [0 0 1]x0 + [0] [1 1 0] [1], [1 0 0] [half](x0) = [0 0 1]x0 [0 1 0] , [1 0 0] [0] [lastbit](x0) = [0 1 0]x0 + [1] [0 1 1] [0], [0] [nil] = [0] [0], [0] [0] = [1] [1], [1 0 0] [1 0 0] [0] [cons](x0, x1) = [0 0 0]x0 + [1 0 0]x1 + [0] [0 1 0] [0 0 0] [1], [1 0 0] [s](x0) = [0 0 1]x0 [1 1 1] orientation: [0] [0] half(0()) = [1] >= [1] = 0() [1] [1] [0] [0] half(s(0())) = [2] >= [1] = 0() [1] [1] [1 0 0] [1 0 0] half(s(s(x))) = [2 1 2]x >= [0 1 0]x = s(half(x)) [1 1 1] [1 1 1] [0] [0] lastbit(0()) = [2] >= [1] = 0() [2] [1] [0] [0] lastbit(s(0())) = [2] >= [1] = s(0()) [3] [2] [1 0 0] [0] [1 0 0] [0] lastbit(s(s(x))) = [1 1 1]x + [1] >= [0 1 0]x + [1] = lastbit(x) [3 2 3] [0] [0 1 1] [0] [1] [0] conv(0()) = [1] >= [0] = cons(nil(),0()) [2] [1] [2 1 1] [0] [2 0 1] [0] conv(s(x)) = [1 1 1]x + [0] >= [1 0 0]x + [0] = cons(conv(half(s(x))),lastbit(s(x))) [1 0 1] [1] [0 0 1] [1] problem: half(0()) -> 0() half(s(0())) -> 0() half(s(s(x))) -> s(half(x)) lastbit(0()) -> 0() lastbit(s(0())) -> s(0()) lastbit(s(s(x))) -> lastbit(x) conv(s(x)) -> cons(conv(half(s(x))),lastbit(s(x))) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [0] [conv](x0) = [0 1 1]x0 + [1] [0 0 0] [0], [1 0 0] [half](x0) = [0 0 1]x0 [0 1 0] , [1 0 0] [1] [lastbit](x0) = [0 0 0]x0 + [1] [0 0 1] [0], [0] [0] = [0]
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