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TRS_Relative 2019-03-21 03.54 pair #429988622
details
property
value
status
complete
benchmark
#3.54_rand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n014.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
ttt2-1.19
configuration
ttt2
runtime (wallclock)
4.10955 seconds
cpu usage
14.9968
user time
11.4272
system time
3.56958
max virtual memory
4709868.0
max residence set size
78772.0
stage attributes
key
value
starexec-result
YES
output
14.76/4.09 YES 14.76/4.10 14.76/4.10 Problem: 14.76/4.10 strict: 14.76/4.10 f(g(x)) -> g(f(f(x))) 14.76/4.10 f(h(x)) -> h(g(x)) 14.76/4.10 f'(s(x),y,y) -> f'(y,x,s(x)) 14.76/4.10 weak: 14.76/4.10 rand(x) -> x 14.76/4.10 rand(x) -> rand(s(x)) 14.76/4.10 14.76/4.10 Proof: 14.76/4.10 Matrix Interpretation Processor: dim=2 14.76/4.10 14.76/4.10 interpretation: 14.76/4.10 [2 0] [1] 14.76/4.10 [rand](x0) = [0 1]x0 + [0], 14.76/4.10 14.76/4.10 [3 0] [1 0] [2 0] [0] 14.76/4.10 [f'](x0, x1, x2) = [1 0]x0 + [0 0]x1 + [1 0]x2 + [2], 14.76/4.10 14.76/4.10 [1 0] 14.76/4.10 [s](x0) = [0 0]x0, 14.76/4.10 14.76/4.10 [2 2] 14.76/4.10 [h](x0) = [0 0]x0, 14.76/4.10 14.76/4.10 [1 0] 14.76/4.10 [f](x0) = [0 0]x0, 14.76/4.10 14.76/4.10 [1 0] 14.76/4.10 [g](x0) = [0 0]x0 14.76/4.10 orientation: 14.76/4.10 [1 0] [1 0] 14.76/4.10 f(g(x)) = [0 0]x >= [0 0]x = g(f(f(x))) 14.76/4.10 14.76/4.10 [2 2] [2 0] 14.76/4.10 f(h(x)) = [0 0]x >= [0 0]x = h(g(x)) 14.76/4.10 14.76/4.10 [3 0] [3 0] [0] [3 0] [3 0] [0] 14.76/4.10 f'(s(x),y,y) = [1 0]x + [1 0]y + [2] >= [1 0]x + [1 0]y + [2] = f'(y,x,s(x)) 14.76/4.10 14.76/4.10 [2 0] [1] 14.76/4.10 rand(x) = [0 1]x + [0] >= x = x 14.76/4.10 14.76/4.10 [2 0] [1] [2 0] [1] 14.76/4.10 rand(x) = [0 1]x + [0] >= [0 0]x + [0] = rand(s(x)) 14.76/4.10 problem: 14.76/4.10 strict: 14.76/4.10 f(g(x)) -> g(f(f(x))) 14.76/4.10 f(h(x)) -> h(g(x)) 14.76/4.10 f'(s(x),y,y) -> f'(y,x,s(x)) 14.76/4.10 weak: 14.76/4.10 rand(x) -> rand(s(x)) 14.76/4.10 Matrix Interpretation Processor: dim=2 14.76/4.10 14.76/4.10 interpretation: 14.76/4.10 [2 0] 14.76/4.10 [rand](x0) = [0 0]x0, 14.76/4.10 14.76/4.10 [2 1] [1 1] [2 0] 14.76/4.10 [f'](x0, x1, x2) = [0 2]x0 + [0 1]x1 + [1 1]x2, 14.76/4.10 14.76/4.10 [1 0] [0] 14.76/4.10 [s](x0) = [1 1]x0 + [1], 14.76/4.10 14.76/4.10 [2 2] [2] 14.76/4.10 [h](x0) = [0 0]x0 + [0], 14.76/4.10 14.76/4.10 [1 0] 14.76/4.10 [f](x0) = [0 0]x0, 14.76/4.10 14.76/4.10 [1 1] 14.76/4.10 [g](x0) = [0 0]x0 14.76/4.10 orientation: 14.76/4.10 [1 1] [1 0] 14.76/4.10 f(g(x)) = [0 0]x >= [0 0]x = g(f(f(x))) 14.76/4.10 14.76/4.10 [2 2] [2] [2 2] [2] 14.76/4.10 f(h(x)) = [0 0]x + [0] >= [0 0]x + [0] = h(g(x)) 14.76/4.10 14.76/4.10 [3 1] [3 1] [1] [3 1] [2 1] [0] 14.76/4.10 f'(s(x),y,y) = [2 2]x + [1 2]y + [2] >= [2 2]x + [0 2]y + [1] = f'(y,x,s(x)) 14.76/4.10 14.76/4.10 [2 0] [2 0] 14.76/4.10 rand(x) = [0 0]x >= [0 0]x = rand(s(x)) 14.76/4.10 problem: 14.76/4.10 strict: 14.76/4.10 f(g(x)) -> g(f(f(x))) 14.76/4.10 f(h(x)) -> h(g(x)) 14.76/4.10 weak: 14.76/4.10 rand(x) -> rand(s(x)) 14.76/4.10 Matrix Interpretation Processor: dim=2 14.76/4.10 14.76/4.10 interpretation: 14.76/4.10 [1 1] 14.76/4.10 [rand](x0) = [2 2]x0, 14.76/4.10 14.76/4.10 [1 0] 14.76/4.10 [s](x0) = [0 0]x0,
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