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TRS_Relative 2019-03-21 03.54 pair #429988592
details
property
value
status
complete
benchmark
#3.15_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n075.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
2.74687 seconds
cpu usage
9.63384
user time
7.42275
system time
2.21109
max virtual memory
3672908.0
max residence set size
73284.0
stage attributes
key
value
starexec-result
YES
output
8.02/2.73 YES 8.02/2.74 8.02/2.74 Problem: 8.02/2.74 strict: 8.02/2.74 average(s(x),y) -> average(x,s(y)) 8.02/2.74 average(x,s(s(s(y)))) -> s(average(s(x),y)) 8.02/2.74 average(0(),0()) -> 0() 8.02/2.74 average(0(),s(0())) -> 0() 8.02/2.74 average(0(),s(s(0()))) -> s(0()) 8.02/2.74 weak: 8.02/2.74 rand(x) -> x 8.02/2.74 rand(x) -> rand(s(x)) 8.02/2.74 8.02/2.74 Proof: 8.02/2.74 Matrix Interpretation Processor: dim=2 8.02/2.74 8.02/2.74 interpretation: 8.02/2.74 [1 2] [2] 8.02/2.74 [rand](x0) = [0 1]x0 + [0], 8.02/2.74 8.02/2.74 [0] 8.02/2.74 [0] = [0], 8.02/2.74 8.02/2.74 [1 2] [1 2] [2] 8.02/2.74 [average](x0, x1) = [0 0]x0 + [0 0]x1 + [0], 8.02/2.74 8.02/2.74 [1 2] 8.02/2.74 [s](x0) = [0 0]x0 8.02/2.74 orientation: 8.02/2.74 [1 2] [1 2] [2] [1 2] [1 2] [2] 8.02/2.74 average(s(x),y) = [0 0]x + [0 0]y + [0] >= [0 0]x + [0 0]y + [0] = average(x,s(y)) 8.02/2.74 8.02/2.74 [1 2] [1 2] [2] [1 2] [1 2] [2] 8.02/2.74 average(x,s(s(s(y)))) = [0 0]x + [0 0]y + [0] >= [0 0]x + [0 0]y + [0] = s(average(s(x),y)) 8.02/2.74 8.02/2.74 [2] [0] 8.02/2.74 average(0(),0()) = [0] >= [0] = 0() 8.02/2.74 8.02/2.74 [2] [0] 8.02/2.74 average(0(),s(0())) = [0] >= [0] = 0() 8.02/2.74 8.02/2.74 [2] [0] 8.02/2.74 average(0(),s(s(0()))) = [0] >= [0] = s(0()) 8.02/2.74 8.02/2.74 [1 2] [2] 8.02/2.74 rand(x) = [0 1]x + [0] >= x = x 8.02/2.74 8.02/2.74 [1 2] [2] [1 2] [2] 8.02/2.74 rand(x) = [0 1]x + [0] >= [0 0]x + [0] = rand(s(x)) 8.02/2.74 problem: 8.02/2.74 strict: 8.02/2.74 average(s(x),y) -> average(x,s(y)) 8.02/2.74 average(x,s(s(s(y)))) -> s(average(s(x),y)) 8.02/2.74 weak: 8.02/2.74 rand(x) -> rand(s(x)) 8.02/2.74 Matrix Interpretation Processor: dim=5 8.02/2.74 8.02/2.74 interpretation: 8.02/2.74 [1 1 1 0 0] 8.02/2.74 [0 1 0 0 0] 8.02/2.74 [rand](x0) = [0 1 0 0 0]x0 8.02/2.74 [0 0 0 0 0] 8.02/2.74 [1 0 0 0 0] , 8.02/2.74 8.02/2.74 [1 0 0 0 1] [1 0 0 0 1] 8.02/2.74 [0 0 0 0 0] [0 0 0 0 0] 8.02/2.74 [average](x0, x1) = [0 0 0 0 0]x0 + [1 0 1 0 0]x1 8.02/2.74 [0 0 0 0 0] [0 0 0 0 0] 8.02/2.74 [0 0 0 0 1] [0 0 0 0 1] , 8.02/2.74 8.02/2.74 [1 0 0 0 0] [0] 8.02/2.74 [0 0 0 0 0] [0] 8.02/2.74 [s](x0) = [0 0 0 0 0]x0 + [0] 8.02/2.74 [0 0 0 0 0] [0] 8.02/2.74 [0 0 0 0 1] [1] 8.02/2.74 orientation: 8.02/2.74 [1 0 0 0 1] [1 0 0 0 1] [1] [1 0 0 0 1] [1 0 0 0 1] [1] 8.02/2.74 [0 0 0 0 0] [0 0 0 0 0] [0] [0 0 0 0 0] [0 0 0 0 0] [0] 8.02/2.74 average(s(x),y) = [0 0 0 0 0]x + [1 0 1 0 0]y + [0] >= [0 0 0 0 0]x + [1 0 0 0 0]y + [0] = average(x,s(y)) 8.02/2.74 [0 0 0 0 0] [0 0 0 0 0] [0] [0 0 0 0 0] [0 0 0 0 0] [0] 8.02/2.74 [0 0 0 0 1] [0 0 0 0 1] [1] [0 0 0 0 1] [0 0 0 0 1] [1] 8.02/2.74 8.02/2.74 [1 0 0 0 1] [1 0 0 0 1] [3] [1 0 0 0 1] [1 0 0 0 1] [1] 8.02/2.74 [0 0 0 0 0] [0 0 0 0 0] [0] [0 0 0 0 0] [0 0 0 0 0] [0] 8.02/2.74 average(x,s(s(s(y)))) = [0 0 0 0 0]x + [1 0 0 0 0]y + [0] >= [0 0 0 0 0]x + [0 0 0 0 0]y + [0] = s(average(s(x),y)) 8.02/2.74 [0 0 0 0 0] [0 0 0 0 0] [0] [0 0 0 0 0] [0 0 0 0 0] [0] 8.02/2.74 [0 0 0 0 1] [0 0 0 0 1] [3] [0 0 0 0 1] [0 0 0 0 1] [2] 8.02/2.74 8.02/2.74 [1 1 1 0 0] [1 0 0 0 0] 8.02/2.74 [0 1 0 0 0] [0 0 0 0 0] 8.02/2.74 rand(x) = [0 1 0 0 0]x >= [0 0 0 0 0]x = rand(s(x)) 8.02/2.74 [0 0 0 0 0] [0 0 0 0 0] 8.02/2.74 [1 0 0 0 0] [1 0 0 0 0] 8.02/2.74 problem: 8.02/2.74 strict: 8.02/2.74 average(s(x),y) -> average(x,s(y)) 8.02/2.74 weak: 8.02/2.74 rand(x) -> rand(s(x)) 8.02/2.74 Matrix Interpretation Processor: dim=2 8.02/2.74
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