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TRS Stand 20472 pair #381709867
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
n055.star.cs.uiowa.edu
space
Der95
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.437860965729 seconds
cpu usage
0.617550602
max memory
1.35417856E8
stage attributes
key
value
output-size
1148
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /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: [.](x0, x1) = 4x0 + x1 + 1, [/](x0, x1) = 2x0 + 3x1 + 3, [e] = 1, [\](x0, x1) = 7x0 + 4x1 + 4 orientation: \(x,x) = 11x + 4 >= 1 = e() /(x,x) = 5x + 3 >= 1 = e() .(e(),x) = x + 5 >= x = x .(x,e()) = 4x + 2 >= x = x \(e(),x) = 4x + 11 >= x = x /(x,e()) = 2x + 6 >= x = x .(x,\(x,y)) = 11x + 4y + 5 >= y = y .(/(y,x),x) = 13x + 8y + 13 >= y = y \(x,.(x,y)) = 23x + 4y + 8 >= y = y /(.(y,x),x) = 5x + 8y + 5 >= y = y /(x,\(y,x)) = 14x + 21y + 15 >= y = y \(/(x,y),x) = 18x + 21y + 25 >= y = y problem: Qed
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