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TRS Relative pair #487081730
details
property
value
status
complete
benchmark
ex4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.695642 seconds
cpu usage
2.13751
user time
1.61027
system time
0.527237
max virtual memory
5428840.0
max residence set size
60064.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: strict: a() -> b() weak: f(s(x)) -> c(x,f(x)) c(x,c(y(),z())) -> c(y(),c(x,z())) Proof: Matrix Interpretation Processor: dim=2 interpretation: [2 1] [1 0] [c](x0, x1) = [2 1]x0 + [1 0]x1, [0] [b] = [0], [1 0] [1] [f](x0) = [1 0]x0 + [1], [0] [y] = [2], [1] [a] = [0], [0] [z] = [0], [3 2] [s](x0) = [0 0]x0 orientation: [1] [0] a() = [0] >= [0] = b() [3 2] [1] [3 1] [1] f(s(x)) = [3 2]x + [1] >= [3 1]x + [1] = c(x,f(x)) [2 1] [2] [2 1] [2] c(x,c(y(),z())) = [2 1]x + [2] >= [2 1]x + [2] = c(y(),c(x,z())) problem: strict: weak: f(s(x)) -> c(x,f(x)) c(x,c(y(),z())) -> c(y(),c(x,z())) Qed
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