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TRS_Relative 2019-03-21 03.54 pair #429988574
details
property
value
status
complete
benchmark
#3.53a_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n178.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
1.48488 seconds
cpu usage
4.68738
user time
3.36467
system time
1.3227
max virtual memory
3898208.0
max residence set size
67524.0
stage attributes
key
value
starexec-result
YES
output
4.61/1.47 YES 4.61/1.48 4.61/1.48 Problem: 4.61/1.48 strict: 4.61/1.48 g(x,y) -> x 4.61/1.48 g(x,y) -> y 4.61/1.48 f(s(x),y,y) -> f(y,x,s(x)) 4.61/1.48 weak: 4.61/1.48 rand(x) -> x 4.61/1.48 rand(x) -> rand(s(x)) 4.61/1.48 4.61/1.48 Proof: 4.61/1.48 Matrix Interpretation Processor: dim=2 4.61/1.48 4.61/1.48 interpretation: 4.61/1.48 [1 1] [1] 4.61/1.48 [rand](x0) = [0 2]x0 + [0], 4.61/1.48 4.61/1.48 [2 0] [1 0] [1 2] [0] 4.61/1.48 [f](x0, x1, x2) = [2 0]x0 + [2 0]x1 + [0 0]x2 + [2], 4.61/1.48 4.61/1.48 [1 1] 4.61/1.48 [s](x0) = [0 0]x0, 4.61/1.48 4.61/1.48 [1 2] [2 0] [1] 4.61/1.48 [g](x0, x1) = [2 2]x0 + [0 2]x1 + [2] 4.61/1.48 orientation: 4.61/1.48 [1 2] [2 0] [1] 4.61/1.48 g(x,y) = [2 2]x + [0 2]y + [2] >= x = x 4.61/1.48 4.61/1.48 [1 2] [2 0] [1] 4.61/1.48 g(x,y) = [2 2]x + [0 2]y + [2] >= y = y 4.61/1.48 4.61/1.48 [2 2] [2 2] [0] [2 1] [2 0] [0] 4.61/1.48 f(s(x),y,y) = [2 2]x + [2 0]y + [2] >= [2 0]x + [2 0]y + [2] = f(y,x,s(x)) 4.61/1.48 4.61/1.48 [1 1] [1] 4.61/1.48 rand(x) = [0 2]x + [0] >= x = x 4.61/1.48 4.61/1.48 [1 1] [1] [1 1] [1] 4.61/1.48 rand(x) = [0 2]x + [0] >= [0 0]x + [0] = rand(s(x)) 4.61/1.48 problem: 4.61/1.48 strict: 4.61/1.48 f(s(x),y,y) -> f(y,x,s(x)) 4.61/1.48 weak: 4.61/1.48 rand(x) -> rand(s(x)) 4.61/1.48 Matrix Interpretation Processor: dim=3 4.61/1.48 4.61/1.48 interpretation: 4.61/1.48 [1 0 0] [0] 4.61/1.48 [rand](x0) = [2 0 0]x0 + [0] 4.61/1.48 [2 0 0] [1], 4.61/1.48 4.61/1.48 [1 3 0] [1 3 0] [2 0 0] [0] 4.61/1.48 [f](x0, x1, x2) = [2 2 0]x0 + [0 1 0]x1 + [3 1 0]x2 + [2] 4.61/1.48 [0 0 1] [0 0 2] [0 0 0] [1], 4.61/1.48 4.61/1.48 [1 0 0] [0] 4.61/1.48 [s](x0) = [1 1 0]x0 + [1] 4.61/1.48 [0 0 3] [3] 4.61/1.48 orientation: 4.61/1.48 [4 3 0] [3 3 0] [3] [3 3 0] [1 3 0] [0] 4.61/1.48 f(s(x),y,y) = [4 2 0]x + [3 2 0]y + [4] >= [4 2 0]x + [2 2 0]y + [3] = f(y,x,s(x)) 4.61/1.48 [0 0 3] [0 0 2] [4] [0 0 2] [0 0 1] [1] 4.61/1.48 4.61/1.48 [1 0 0] [0] [1 0 0] [0] 4.61/1.48 rand(x) = [2 0 0]x + [0] >= [2 0 0]x + [0] = rand(s(x)) 4.61/1.48 [2 0 0] [1] [2 0 0] [1] 4.61/1.48 problem: 4.61/1.48 strict: 4.61/1.48 4.61/1.48 weak: 4.61/1.48 rand(x) -> rand(s(x)) 4.61/1.48 Qed 4.61/1.48 EOF
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