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TRS Standard pair #487073747
details
property
value
status
complete
benchmark
01.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n180.star.cs.uiowa.edu
space
Der95
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.412387 seconds
cpu usage
0.629567
user time
0.471967
system time
0.1576
max virtual memory
96176.0
max residence set size
58636.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: \(x,x) -> e() /(x,x) -> e() .(e(),x) -> x .(x,e()) -> x \(e(),x) -> x /(x,e()) -> x .(x,\(x,y)) -> y .(/(y,x),x) -> y \(x,.(x,y)) -> y /(.(y,x),x) -> y /(x,\(y,x)) -> y \(/(x,y),x) -> y Proof: Matrix Interpretation Processor: dim=1 interpretation: [e] = 4, [.](x0, x1) = 2x0 + x1 + 5, [\](x0, x1) = 4x0 + 4x1 + 5, [/](x0, x1) = 4x0 + 4x1 + 4 orientation: \(x,x) = 8x + 5 >= 4 = e() /(x,x) = 8x + 4 >= 4 = e() .(e(),x) = x + 13 >= x = x .(x,e()) = 2x + 9 >= x = x \(e(),x) = 4x + 21 >= x = x /(x,e()) = 4x + 20 >= x = x .(x,\(x,y)) = 6x + 4y + 10 >= y = y .(/(y,x),x) = 9x + 8y + 13 >= y = y \(x,.(x,y)) = 12x + 4y + 25 >= y = y /(.(y,x),x) = 8x + 8y + 24 >= y = y /(x,\(y,x)) = 20x + 16y + 24 >= y = y \(/(x,y),x) = 20x + 16y + 21 >= y = y problem: /(x,x) -> e() Matrix Interpretation Processor: dim=3 interpretation: [0] [e] = [0] [0], [1 0 0] [1 0 0] [1] [/](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [0] [0 0 0] [0 0 0] [0] orientation: [2 0 0] [1] [0] /(x,x) = [0 0 0]x + [0] >= [0] = e() [0 0 0] [0] [0] problem: Qed
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