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TRS Standard pair #487067877
details
property
value
status
complete
benchmark
2.58.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n181.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.3914 seconds
cpu usage
0.485472
user time
0.362988
system time
0.122484
max virtual memory
96176.0
max residence set size
58068.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(x,y) -> x g(a()) -> h(a(),b(),a()) i(x) -> f(x,x) h(x,x,y) -> g(x) Proof: Matrix Interpretation Processor: dim=1 interpretation: [h](x0, x1, x2) = x0 + 6x1 + 4x2 + 2, [a] = 2, [b] = 0, [i](x0) = 4x0 + 4, [f](x0, x1) = x0 + 2x1, [g](x0) = 7x0 + 2 orientation: f(x,y) = x + 2y >= x = x g(a()) = 16 >= 12 = h(a(),b(),a()) i(x) = 4x + 4 >= 3x = f(x,x) h(x,x,y) = 7x + 4y + 2 >= 7x + 2 = g(x) problem: f(x,y) -> x h(x,x,y) -> g(x) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 0 0] [1 0 0] [h](x0, x1, x2) = [0 0 0]x0 + [0 0 0]x1 + [0 0 0]x2 [0 0 0] [0 0 0] [0 0 0] , [1 0 0] [1] [f](x0, x1) = x0 + [0 0 0]x1 + [0] [0 0 0] [0], [1 0 0] [g](x0) = [0 0 0]x0 [0 0 0] orientation: [1 0 0] [1] f(x,y) = x + [0 0 0]y + [0] >= x = x [0 0 0] [0] [2 0 0] [1 0 0] [1 0 0] h(x,x,y) = [0 0 0]x + [0 0 0]y >= [0 0 0]x = g(x) [0 0 0] [0 0 0] [0 0 0] problem: h(x,x,y) -> g(x) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 0 0] [1 0 0] [1] [h](x0, x1, x2) = [0 0 0]x0 + [0 0 0]x1 + [0 0 0]x2 + [0] [0 0 0] [0 0 0] [0 0 0] [0], [1 0 0] [g](x0) = [0 0 0]x0 [0 0 0] orientation: [2 0 0] [1 0 0] [1] [1 0 0] h(x,x,y) = [0 0 0]x + [0 0 0]y + [0] >= [0 0 0]x = g(x) [0 0 0] [0 0 0] [0] [0 0 0] problem: Qed
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