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TRS Standard pair #487069232
details
property
value
status
complete
benchmark
mfp90b.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n070.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.362536 seconds
cpu usage
0.455753
user time
0.365165
system time
0.090588
max virtual memory
96176.0
max residence set size
56564.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a() -> g(c()) g(a()) -> b() f(g(X),b()) -> f(a(),X) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 0 0] [0] [f](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [0] [0 0 0] [0 0 0] [1], [0] [c] = [0] [0], [1] [b] = [0] [0], [1] [a] = [0] [0], [1 0 0] [g](x0) = [0 0 0]x0 [0 0 0] orientation: [1] [0] a() = [0] >= [0] = g(c()) [0] [0] [1] [1] g(a()) = [0] >= [0] = b() [0] [0] [1 0 0] [1] [1 0 0] [1] f(g(X),b()) = [0 0 0]X + [0] >= [0 0 0]X + [0] = f(a(),X) [0 0 0] [1] [0 0 0] [1] problem: g(a()) -> b() f(g(X),b()) -> f(a(),X) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 1 1] [f](x0, x1) = [0 1 1]x0 + [1 0 0]x1 [0 0 0] [0 0 0] , [0] [b] = [1] [0], [0] [a] = [0] [1], [1 1 1] [0] [g](x0) = [1 0 0]x0 + [1] [0 0 0] [0] orientation: [1] [0] g(a()) = [1] >= [1] = b() [0] [0] [1 1 1] [1] [1 1 1] [0] f(g(X),b()) = [1 0 0]X + [1] >= [1 0 0]X + [1] = f(a(),X) [0 0 0] [0] [0 0 0] [0] problem: Qed
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