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TRS_Relative 2019-03-21 03.54 pair #429988565
details
property
value
status
complete
benchmark
#3.56_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n152.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
4.96601 seconds
cpu usage
17.8508
user time
13.6557
system time
4.1951
max virtual memory
4172744.0
max residence set size
79780.0
stage attributes
key
value
starexec-result
YES
output
17.77/4.95 YES 17.77/4.96 17.77/4.96 Problem: 17.77/4.96 strict: 17.77/4.96 g(c(x,s(y))) -> g(c(s(x),y)) 17.77/4.96 f(c(s(x),y)) -> f(c(x,s(y))) 17.77/4.96 f(f(x)) -> f(d(f(x))) 17.77/4.96 f(x) -> x 17.77/4.96 weak: 17.77/4.96 rand(x) -> x 17.77/4.96 rand(x) -> rand(s(x)) 17.77/4.96 17.77/4.96 Proof: 17.77/4.96 Matrix Interpretation Processor: dim=2 17.77/4.96 17.77/4.96 interpretation: 17.77/4.96 [1 0] [0] 17.77/4.96 [rand](x0) = [0 2]x0 + [1], 17.77/4.96 17.77/4.96 [1 0] 17.77/4.96 [d](x0) = [0 0]x0, 17.77/4.96 17.77/4.96 [1] 17.77/4.96 [f](x0) = x0 + [0], 17.77/4.96 17.77/4.96 [2 0] [2] 17.77/4.96 [g](x0) = [2 0]x0 + [1], 17.77/4.96 17.77/4.96 [1 0] [1 0] 17.77/4.96 [c](x0, x1) = [0 0]x0 + [0 2]x1, 17.77/4.96 17.77/4.96 [1 0] 17.77/4.96 [s](x0) = [0 0]x0 17.77/4.96 orientation: 17.77/4.96 [2 0] [2 0] [2] [2 0] [2 0] [2] 17.77/4.96 g(c(x,s(y))) = [2 0]x + [2 0]y + [1] >= [2 0]x + [2 0]y + [1] = g(c(s(x),y)) 17.77/4.96 17.77/4.96 [1 0] [1 0] [1] [1 0] [1 0] [1] 17.77/4.96 f(c(s(x),y)) = [0 0]x + [0 2]y + [0] >= [0 0]x + [0 0]y + [0] = f(c(x,s(y))) 17.77/4.96 17.77/4.96 [2] [1 0] [2] 17.77/4.96 f(f(x)) = x + [0] >= [0 0]x + [0] = f(d(f(x))) 17.77/4.96 17.77/4.96 [1] 17.77/4.96 f(x) = x + [0] >= x = x 17.77/4.96 17.77/4.96 [1 0] [0] 17.77/4.96 rand(x) = [0 2]x + [1] >= x = x 17.77/4.96 17.77/4.96 [1 0] [0] [1 0] [0] 17.77/4.96 rand(x) = [0 2]x + [1] >= [0 0]x + [1] = rand(s(x)) 17.77/4.96 problem: 17.77/4.96 strict: 17.77/4.96 g(c(x,s(y))) -> g(c(s(x),y)) 17.77/4.96 f(c(s(x),y)) -> f(c(x,s(y))) 17.77/4.96 f(f(x)) -> f(d(f(x))) 17.77/4.96 weak: 17.77/4.96 rand(x) -> x 17.77/4.96 rand(x) -> rand(s(x)) 17.77/4.96 Matrix Interpretation Processor: dim=2 17.77/4.96 17.77/4.96 interpretation: 17.77/4.96 [2 0] [1] 17.77/4.96 [rand](x0) = [2 1]x0 + [1], 17.77/4.96 17.77/4.96 [1 0] 17.77/4.96 [d](x0) = [0 0]x0, 17.77/4.96 17.77/4.96 [1 1] 17.77/4.96 [f](x0) = [1 1]x0, 17.77/4.96 17.77/4.96 [1 0] [3] 17.77/4.96 [g](x0) = [2 0]x0 + [0], 17.77/4.96 17.77/4.96 [1 0] [1 0] [0] 17.77/4.96 [c](x0, x1) = [2 2]x0 + [0 0]x1 + [1], 17.77/4.96 17.77/4.96 17.77/4.96 [s](x0) = x0 17.77/4.96 orientation: 17.77/4.96 [1 0] [1 0] [3] [1 0] [1 0] [3] 17.77/4.96 g(c(x,s(y))) = [2 0]x + [2 0]y + [0] >= [2 0]x + [2 0]y + [0] = g(c(s(x),y)) 17.77/4.96 17.77/4.96 [3 2] [1 0] [1] [3 2] [1 0] [1] 17.77/4.96 f(c(s(x),y)) = [3 2]x + [1 0]y + [1] >= [3 2]x + [1 0]y + [1] = f(c(x,s(y))) 17.77/4.96 17.77/4.96 [2 2] [1 1] 17.77/4.96 f(f(x)) = [2 2]x >= [1 1]x = f(d(f(x))) 17.77/4.96 17.77/4.96 [2 0] [1] 17.77/4.96 rand(x) = [2 1]x + [1] >= x = x 17.77/4.96 17.77/4.96 [2 0] [1] [2 0] [1] 17.77/4.96 rand(x) = [2 1]x + [1] >= [2 1]x + [1] = rand(s(x)) 17.77/4.96 problem: 17.77/4.96 strict: 17.77/4.96 g(c(x,s(y))) -> g(c(s(x),y)) 17.77/4.96 f(c(s(x),y)) -> f(c(x,s(y))) 17.77/4.96 f(f(x)) -> f(d(f(x))) 17.77/4.96 weak:
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