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TRS Relative pair #487081937
details
property
value
status
complete
benchmark
rt3-5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
3.23708 seconds
cpu usage
11.6629
user time
10.5035
system time
1.15947
max virtual memory
7273880.0
max residence set size
74088.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: strict: f(g(f(x))) -> f(g(g(g(f(x))))) weak: g(x) -> g(g(x)) g(x) -> g(g(f(g(g(x))))) f(x) -> g(g(f(g(g(x))))) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [g](x0) = [0 0 1]x0 [0 0 0] , [1 2 0] [0] [f](x0) = [2 2 2]x0 + [0] [0 0 0] [1] orientation: [1 2 0] [2] [1 2 0] [0] f(g(f(x))) = [2 4 0]x + [2] >= [2 4 0]x + [0] = f(g(g(g(f(x))))) [0 0 0] [1] [0 0 0] [1] [1 0 0] [1 0 0] g(x) = [0 0 1]x >= [0 0 0]x = g(g(x)) [0 0 0] [0 0 0] [1 0 0] [1 0 0] g(x) = [0 0 1]x >= [0 0 0]x = g(g(f(g(g(x))))) [0 0 0] [0 0 0] [1 2 0] [0] [1 0 0] f(x) = [2 2 2]x + [0] >= [0 0 0]x = g(g(f(g(g(x))))) [0 0 0] [1] [0 0 0] problem: strict: weak: g(x) -> g(g(x)) g(x) -> g(g(f(g(g(x))))) f(x) -> g(g(f(g(g(x))))) Qed
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