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TRS Standard pair #487067637
details
property
value
status
complete
benchmark
#3.47.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n180.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.448703 seconds
cpu usage
0.720118
user time
0.531378
system time
0.18874
max virtual memory
96176.0
max residence set size
60260.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(x,c(y)) -> f(x,s(f(y,y))) f(s(x),y) -> f(x,s(c(y))) Proof: Matrix Interpretation Processor: dim=2 interpretation: [1 0] [2 2] [0] [f](x0, x1) = [0 0]x0 + [0 0]x1 + [2], [1 0] [0] [c](x0) = [2 2]x0 + [1], [1 0] [s](x0) = [0 0]x0 orientation: [1 0] [6 4] [2] [1 0] [6 4] [0] f(x,c(y)) = [0 0]x + [0 0]y + [2] >= [0 0]x + [0 0]y + [2] = f(x,s(f(y,y))) [1 0] [2 2] [0] [1 0] [2 0] [0] f(s(x),y) = [0 0]x + [0 0]y + [2] >= [0 0]x + [0 0]y + [2] = f(x,s(c(y))) problem: f(s(x),y) -> f(x,s(c(y))) Matrix Interpretation Processor: dim=3 interpretation: [1 1 1] [1 0 0] [f](x0, x1) = [0 1 1]x0 + [0 0 1]x1 [1 0 0] [0 0 0] , [1 0 0] [c](x0) = [0 0 1]x0 [0 0 0] , [1 0 0] [0] [s](x0) = [0 0 0]x0 + [0] [0 1 1] [1] orientation: [1 1 1] [1 0 0] [1] [1 1 1] [1 0 0] [0] f(s(x),y) = [0 1 1]x + [0 0 1]y + [1] >= [0 1 1]x + [0 0 1]y + [1] = f(x,s(c(y))) [1 0 0] [0 0 0] [0] [1 0 0] [0 0 0] [0] problem: Qed
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