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TRS Standard pair #487069307
details
property
value
status
complete
benchmark
lindau.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n177.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.431815 seconds
cpu usage
0.682204
user time
0.466574
system time
0.21563
max virtual memory
96176.0
max residence set size
60056.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: c(b(a(X))) -> a(a(b(b(c(c(X)))))) a(X) -> e() b(X) -> e() c(X) -> e() Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [b](x0) = [0 0 1]x0 [0 1 0] , [0] [e] = [0] [0], [1 1 0] [0] [a](x0) = [0 0 0]x0 + [0] [0 0 0] [1], [1 1 0] [0] [c](x0) = [0 0 0]x0 + [0] [0 0 0] [1] orientation: [1 1 0] [1] [1 1 0] [0] c(b(a(X))) = [0 0 0]X + [0] >= [0 0 0]X + [0] = a(a(b(b(c(c(X)))))) [0 0 0] [1] [0 0 0] [1] [1 1 0] [0] [0] a(X) = [0 0 0]X + [0] >= [0] = e() [0 0 0] [1] [0] [1 0 0] [0] b(X) = [0 0 1]X >= [0] = e() [0 1 0] [0] [1 1 0] [0] [0] c(X) = [0 0 0]X + [0] >= [0] = e() [0 0 0] [1] [0] problem: a(X) -> e() b(X) -> e() c(X) -> e() Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [b](x0) = [0 0 0]x0 [0 0 0] , [0] [e] = [0] [0], [1 0 0] [a](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [1] [c](x0) = [0 0 0]x0 + [0] [0 0 0] [0] orientation: [1 0 0] [0] a(X) = [0 0 0]X >= [0] = e() [0 0 0] [0] [1 0 0] [0] b(X) = [0 0 0]X >= [0] = e() [0 0 0] [0] [1 0 0] [1] [0] c(X) = [0 0 0]X + [0] >= [0] = e() [0 0 0] [0] [0] problem: a(X) -> e() b(X) -> e() Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1] [b](x0) = [0 0 0]x0 + [0] [0 0 0] [0], [0] [e] = [0] [0], [1 0 0] [a](x0) = [0 0 0]x0 [0 0 0] orientation: [1 0 0] [0] a(X) = [0 0 0]X >= [0] = e() [0 0 0] [0] [1 0 0] [1] [0]
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