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TRS Standard pair #487066947
details
property
value
status
complete
benchmark
#4.32.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n183.star.cs.uiowa.edu
space
Strategy_removed_AG01
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.464109 seconds
cpu usage
0.790279
user time
0.615821
system time
0.174458
max virtual memory
96176.0
max residence set size
60412.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(x,c(y)) -> f(x,s(f(y,y))) f(s(x),s(y)) -> f(x,s(c(s(y)))) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 1 0] [f](x0, x1) = [1 0 0]x0 + [0 1 0]x1 [0 0 0] [0 0 0] , [1 0 0] [0] [c](x0) = [1 1 1]x0 + [1] [0 0 0] [0], [1 0 0] [s](x0) = [0 0 0]x0 [1 1 0] orientation: [1 0 0] [2 1 1] [1] [1 0 0] [2 1 0] f(x,c(y)) = [1 0 0]x + [1 1 1]y + [1] >= [1 0 0]x + [0 0 0]y = f(x,s(f(y,y))) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [1 0 0] [1 0 0] [1 0 0] [1 0 0] f(s(x),s(y)) = [1 0 0]x + [0 0 0]y >= [1 0 0]x + [0 0 0]y = f(x,s(c(s(y)))) [0 0 0] [0 0 0] [0 0 0] [0 0 0] problem: f(s(x),s(y)) -> f(x,s(c(s(y)))) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [1 0 0] [f](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1 0 0] [c](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [0] [s](x0) = [0 0 0]x0 + [0] [0 0 1] [1] orientation: [1 0 1] [1 0 0] [1] [1 0 1] [1 0 0] f(s(x),s(y)) = [0 0 0]x + [0 0 0]y + [0] >= [0 0 0]x + [0 0 0]y = f(x,s(c(s(y)))) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] problem: Qed
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