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TRS Standard pair #516964189
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
n083.star.cs.uiowa.edu
space
Der95
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.468189001083 seconds
cpu usage
0.59377704
max memory
1.58511104E8
stage attributes
key
value
output-size
1556
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- 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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