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TRS_Relative 2019-03-21 03.54 pair #429988628
details
property
value
status
complete
benchmark
#3.47_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n031.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
2.41681 seconds
cpu usage
8.31857
user time
6.24185
system time
2.07672
max virtual memory
3810404.0
max residence set size
75776.0
stage attributes
key
value
starexec-result
YES
output
7.94/2.40 YES 7.94/2.41 7.94/2.41 Problem: 7.94/2.41 strict: 7.94/2.41 f(x,c(y)) -> f(x,s(f(y,y))) 7.94/2.41 f(s(x),y) -> f(x,s(c(y))) 7.94/2.41 weak: 7.94/2.41 rand(x) -> x 7.94/2.41 rand(x) -> rand(s(x)) 7.94/2.41 7.94/2.41 Proof: 7.94/2.41 Matrix Interpretation Processor: dim=2 7.94/2.41 7.94/2.41 interpretation: 7.94/2.41 [1 0] 7.94/2.41 [rand](x0) = [0 2]x0, 7.94/2.41 7.94/2.41 [1 0] 7.94/2.41 [s](x0) = [0 0]x0, 7.94/2.41 7.94/2.41 [1 0] [1 2] 7.94/2.41 [f](x0, x1) = [0 0]x0 + [1 2]x1, 7.94/2.41 7.94/2.41 [1 2] [0] 7.94/2.41 [c](x0) = [1 0]x0 + [1] 7.94/2.41 orientation: 7.94/2.41 [1 0] [3 2] [2] [1 0] [2 2] 7.94/2.41 f(x,c(y)) = [0 0]x + [3 2]y + [2] >= [0 0]x + [2 2]y = f(x,s(f(y,y))) 7.94/2.41 7.94/2.41 [1 0] [1 2] [1 0] [1 2] 7.94/2.41 f(s(x),y) = [0 0]x + [1 2]y >= [0 0]x + [1 2]y = f(x,s(c(y))) 7.94/2.41 7.94/2.41 [1 0] 7.94/2.41 rand(x) = [0 2]x >= x = x 7.94/2.41 7.94/2.41 [1 0] [1 0] 7.94/2.41 rand(x) = [0 2]x >= [0 0]x = rand(s(x)) 7.94/2.41 problem: 7.94/2.41 strict: 7.94/2.41 f(s(x),y) -> f(x,s(c(y))) 7.94/2.41 weak: 7.94/2.41 rand(x) -> x 7.94/2.41 rand(x) -> rand(s(x)) 7.94/2.41 Matrix Interpretation Processor: dim=2 7.94/2.41 7.94/2.41 interpretation: 7.94/2.41 [1 0] [1] 7.94/2.41 [rand](x0) = [0 2]x0 + [0], 7.94/2.41 7.94/2.41 [1 0] 7.94/2.41 [s](x0) = [0 0]x0, 7.94/2.41 7.94/2.41 [2 0] [1 0] [1] 7.94/2.41 [f](x0, x1) = [0 0]x0 + [2 0]x1 + [0], 7.94/2.41 7.94/2.41 [1 0] 7.94/2.41 [c](x0) = [0 0]x0 7.94/2.41 orientation: 7.94/2.41 [2 0] [1 0] [1] [2 0] [1 0] [1] 7.94/2.41 f(s(x),y) = [0 0]x + [2 0]y + [0] >= [0 0]x + [2 0]y + [0] = f(x,s(c(y))) 7.94/2.41 7.94/2.41 [1 0] [1] 7.94/2.41 rand(x) = [0 2]x + [0] >= x = x 7.94/2.41 7.94/2.41 [1 0] [1] [1 0] [1] 7.94/2.41 rand(x) = [0 2]x + [0] >= [0 0]x + [0] = rand(s(x)) 7.94/2.41 problem: 7.94/2.41 strict: 7.94/2.41 f(s(x),y) -> f(x,s(c(y))) 7.94/2.41 weak: 7.94/2.41 rand(x) -> rand(s(x)) 7.94/2.41 Matrix Interpretation Processor: dim=2 7.94/2.41 7.94/2.41 interpretation: 7.94/2.41 [1 0] [2] 7.94/2.41 [rand](x0) = [0 0]x0 + [0], 7.94/2.41 7.94/2.41 [0] 7.94/2.41 [s](x0) = x0 + [2], 7.94/2.41 7.94/2.41 [2 1] [2 0] [0] 7.94/2.41 [f](x0, x1) = [0 0]x0 + [0 0]x1 + [2], 7.94/2.41 7.94/2.41 [1 0] 7.94/2.41 [c](x0) = [0 2]x0 7.94/2.41 orientation: 7.94/2.41 [2 1] [2 0] [2] [2 1] [2 0] [0] 7.94/2.41 f(s(x),y) = [0 0]x + [0 0]y + [2] >= [0 0]x + [0 0]y + [2] = f(x,s(c(y))) 7.94/2.41 7.94/2.41 [1 0] [2] [1 0] [2] 7.94/2.41 rand(x) = [0 0]x + [0] >= [0 0]x + [0] = rand(s(x)) 7.94/2.41 problem: 7.94/2.41 strict: 7.94/2.41 7.94/2.41 weak: 7.94/2.41 rand(x) -> rand(s(x)) 7.94/2.41 Qed 7.94/2.41 EOF
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