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TRS_Relative 2019-03-21 03.54 pair #429988646
details
property
value
status
complete
benchmark
#3.49_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n009.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
4.04271 seconds
cpu usage
14.6325
user time
11.3268
system time
3.30571
max virtual memory
4087528.0
max residence set size
80784.0
stage attributes
key
value
starexec-result
YES
output
14.37/4.02 YES 14.37/4.02 14.37/4.02 Problem: 14.37/4.02 strict: 14.37/4.02 f(c(s(x),y)) -> f(c(x,s(y))) 14.37/4.02 f(c(s(x),s(y))) -> g(c(x,y)) 14.37/4.02 g(c(x,s(y))) -> g(c(s(x),y)) 14.37/4.02 g(c(s(x),s(y))) -> f(c(x,y)) 14.37/4.02 weak: 14.37/4.02 rand(x) -> x 14.37/4.02 rand(x) -> rand(s(x)) 14.37/4.02 14.37/4.02 Proof: 14.37/4.02 Matrix Interpretation Processor: dim=2 14.37/4.02 14.37/4.02 interpretation: 14.37/4.02 [2 0] [1] 14.37/4.02 [rand](x0) = [0 2]x0 + [0], 14.37/4.02 14.37/4.02 [2 1] 14.37/4.02 [g](x0) = [2 0]x0, 14.37/4.02 14.37/4.02 [2 1] 14.37/4.02 [f](x0) = [2 0]x0, 14.37/4.02 14.37/4.02 [1 0] [1 1] [0] 14.37/4.02 [c](x0, x1) = [0 2]x0 + [0 0]x1 + [2], 14.37/4.02 14.37/4.02 14.37/4.02 [s](x0) = x0 14.37/4.02 orientation: 14.37/4.02 [2 2] [2 2] [2] [2 2] [2 2] [2] 14.37/4.02 f(c(s(x),y)) = [2 0]x + [2 2]y + [0] >= [2 0]x + [2 2]y + [0] = f(c(x,s(y))) 14.37/4.02 14.37/4.02 [2 2] [2 2] [2] [2 2] [2 2] [2] 14.37/4.02 f(c(s(x),s(y))) = [2 0]x + [2 2]y + [0] >= [2 0]x + [2 2]y + [0] = g(c(x,y)) 14.37/4.02 14.37/4.02 [2 2] [2 2] [2] [2 2] [2 2] [2] 14.37/4.02 g(c(x,s(y))) = [2 0]x + [2 2]y + [0] >= [2 0]x + [2 2]y + [0] = g(c(s(x),y)) 14.37/4.02 14.37/4.02 [2 2] [2 2] [2] [2 2] [2 2] [2] 14.37/4.02 g(c(s(x),s(y))) = [2 0]x + [2 2]y + [0] >= [2 0]x + [2 2]y + [0] = f(c(x,y)) 14.37/4.02 14.37/4.02 [2 0] [1] 14.37/4.02 rand(x) = [0 2]x + [0] >= x = x 14.37/4.02 14.37/4.02 [2 0] [1] [2 0] [1] 14.37/4.02 rand(x) = [0 2]x + [0] >= [0 2]x + [0] = rand(s(x)) 14.37/4.02 problem: 14.37/4.02 strict: 14.37/4.02 f(c(s(x),y)) -> f(c(x,s(y))) 14.37/4.02 f(c(s(x),s(y))) -> g(c(x,y)) 14.37/4.02 g(c(x,s(y))) -> g(c(s(x),y)) 14.37/4.02 g(c(s(x),s(y))) -> f(c(x,y)) 14.37/4.02 weak: 14.37/4.02 rand(x) -> rand(s(x)) 14.37/4.02 Matrix Interpretation Processor: dim=2 14.37/4.02 14.37/4.02 interpretation: 14.37/4.02 [2 0] 14.37/4.02 [rand](x0) = [0 0]x0, 14.37/4.02 14.37/4.02 [1 1] 14.37/4.02 [g](x0) = [1 1]x0, 14.37/4.02 14.37/4.02 [1 1] 14.37/4.02 [f](x0) = [1 1]x0, 14.37/4.02 14.37/4.02 [2 1] [2 0] [1] 14.37/4.02 [c](x0, x1) = [0 0]x0 + [0 1]x1 + [0], 14.37/4.02 14.37/4.02 [0] 14.37/4.02 [s](x0) = x0 + [1] 14.37/4.02 orientation: 14.37/4.02 [2 1] [2 1] [2] [2 1] [2 1] [2] 14.37/4.02 f(c(s(x),y)) = [2 1]x + [2 1]y + [2] >= [2 1]x + [2 1]y + [2] = f(c(x,s(y))) 14.37/4.02 14.37/4.02 [2 1] [2 1] [3] [2 1] [2 1] [1] 14.37/4.02 f(c(s(x),s(y))) = [2 1]x + [2 1]y + [3] >= [2 1]x + [2 1]y + [1] = g(c(x,y)) 14.37/4.02 14.37/4.02 [2 1] [2 1] [2] [2 1] [2 1] [2] 14.37/4.02 g(c(x,s(y))) = [2 1]x + [2 1]y + [2] >= [2 1]x + [2 1]y + [2] = g(c(s(x),y)) 14.37/4.02 14.37/4.02 [2 1] [2 1] [3] [2 1] [2 1] [1] 14.37/4.02 g(c(s(x),s(y))) = [2 1]x + [2 1]y + [3] >= [2 1]x + [2 1]y + [1] = f(c(x,y)) 14.37/4.02 14.37/4.02 [2 0] [2 0] 14.37/4.02 rand(x) = [0 0]x >= [0 0]x = rand(s(x)) 14.37/4.02 problem: 14.37/4.02 strict: 14.37/4.02 f(c(s(x),y)) -> f(c(x,s(y))) 14.37/4.02 g(c(x,s(y))) -> g(c(s(x),y)) 14.37/4.02 weak: 14.37/4.02 rand(x) -> rand(s(x)) 14.37/4.02 Bounds Processor: 14.37/4.02 bound: 1 14.37/4.02 enrichment: match-rt 14.37/4.02 automaton: 14.37/4.02 final states: {6} 14.37/4.02 transitions:
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