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TRS Standard pair #487066937
details
property
value
status
complete
benchmark
#4.20a.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
Strategy_removed_AG01
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.38595 seconds
cpu usage
0.509507
user time
0.370057
system time
0.13945
max virtual memory
96176.0
max residence set size
58476.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(f(x)) -> f(x) f(s(x)) -> f(x) g(s(0())) -> g(f(s(0()))) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1] [s](x0) = x0 + [0] [0], [1 0 0] [g](x0) = [0 0 0]x0 [0 0 0] , [1 0 1] [0] [f](x0) = [0 0 0]x0 + [0] [0 0 0] [1], [0] [0] = [1] [0] orientation: [1 0 1] [1] [1 0 1] [0] f(f(x)) = [0 0 0]x + [0] >= [0 0 0]x + [0] = f(x) [0 0 0] [1] [0 0 0] [1] [1 0 1] [1] [1 0 1] [0] f(s(x)) = [0 0 0]x + [0] >= [0 0 0]x + [0] = f(x) [0 0 0] [1] [0 0 0] [1] [1] [1] g(s(0())) = [0] >= [0] = g(f(s(0()))) [0] [0] problem: g(s(0())) -> g(f(s(0()))) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [0] [s](x0) = [0 0 0]x0 + [0] [0 0 0] [1], [1 0 1] [g](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [0] [f](x0) = [0 0 0]x0 + [1] [0 0 0] [0], [0] [0] = [0] [0] orientation: [1] [0] g(s(0())) = [0] >= [0] = g(f(s(0()))) [0] [0] problem: Qed
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