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TRS Standard pair #487066597
details
property
value
status
complete
benchmark
scnp.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n191.star.cs.uiowa.edu
space
AProVE_10
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.37998 seconds
cpu usage
0.53111
user time
0.398259
system time
0.132851
max virtual memory
96176.0
max residence set size
58304.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(s(x),y) -> f(x,s(x)) f(x,s(y)) -> f(y,x) f(c(x),y) -> f(x,s(x)) Proof: Matrix Interpretation Processor: dim=1 interpretation: [f](x0, x1) = 4x0 + 2x1, [s](x0) = 4x0 + 6, [c](x0) = 3x0 + 3 orientation: f(s(x),y) = 16x + 2y + 24 >= 12x + 12 = f(x,s(x)) f(x,s(y)) = 4x + 8y + 12 >= 2x + 4y = f(y,x) f(c(x),y) = 12x + 2y + 12 >= 12x + 12 = f(x,s(x)) problem: f(c(x),y) -> f(x,s(x)) Matrix Interpretation Processor: dim=1 interpretation: [f](x0, x1) = 4x0 + 4x1, [s](x0) = x0, [c](x0) = 4x0 + 4 orientation: f(c(x),y) = 16x + 4y + 16 >= 8x = f(x,s(x)) problem: Qed
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