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TRS Standard pair #487067492
details
property
value
status
complete
benchmark
#3.7.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
AG01
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.462243 seconds
cpu usage
0.820189
user time
0.616513
system time
0.203676
max virtual memory
96176.0
max residence set size
60144.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: half(0()) -> 0() half(s(s(x))) -> s(half(x)) log(s(0())) -> 0() log(s(s(x))) -> s(log(s(half(x)))) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [0] [half](x0) = [0 0 1]x0 + [0] [0 0 0] [1], [1 0 0] [1] [log](x0) = [0 0 0]x0 + [1] [1 0 0] [0], [0] [0] = [0] [0], [s](x0) = x0 orientation: [0] [0] half(0()) = [0] >= [0] = 0() [1] [0] [1 0 0] [0] [1 0 0] [0] half(s(s(x))) = [0 0 1]x + [0] >= [0 0 1]x + [0] = s(half(x)) [0 0 0] [1] [0 0 0] [1] [1] [0] log(s(0())) = [1] >= [0] = 0() [0] [0] [1 0 0] [1] [1 0 0] [1] log(s(s(x))) = [0 0 0]x + [1] >= [0 0 0]x + [1] = s(log(s(half(x)))) [1 0 0] [0] [1 0 0] [0] problem: half(0()) -> 0() half(s(s(x))) -> s(half(x)) log(s(s(x))) -> s(log(s(half(x)))) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [0] [half](x0) = [0 0 0]x0 + [1] [0 0 1] [0], [1 0 0] [0] [log](x0) = [0 0 0]x0 + [1] [0 0 0] [1], [0] [0] = [1] [1], [1 0 1] [0] [s](x0) = [0 0 0]x0 + [0] [0 0 0] [1] orientation: [0] [0] half(0()) = [1] >= [1] = 0() [1] [1] [1 0 1] [1] [1 0 1] [0] half(s(s(x))) = [0 0 0]x + [1] >= [0 0 0]x + [0] = s(half(x)) [0 0 0] [1] [0 0 0] [1] [1 0 1] [1] [1 0 1] [1] log(s(s(x))) = [0 0 0]x + [1] >= [0 0 0]x + [0] = s(log(s(half(x)))) [0 0 0] [1] [0 0 0] [1] problem: half(0()) -> 0() log(s(s(x))) -> s(log(s(half(x)))) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [half](x0) = [0 0 0]x0 [0 0 1] , [1 0 0] [log](x0) = [0 0 1]x0 [0 0 0] , [0] [0] = [0] [1], [1 1 0] [0] [s](x0) = [0 0 1]x0 + [1] [0 1 0] [0] orientation: [1] [0]
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