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TRS Standard pair #516966509
details
property
value
status
complete
benchmark
4.52.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.601457118988 seconds
cpu usage
0.998943389
max memory
2.08080896E8
stage attributes
key
value
output-size
4369
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: s(a()) -> a() s(s(x)) -> x s(f(x,y)) -> f(s(y),s(x)) s(g(x,y)) -> g(s(x),s(y)) f(x,a()) -> x f(a(),y) -> y f(g(x,y),g(u,v)) -> g(f(x,u),f(y,v)) g(a(),a()) -> a() Proof: Matrix Interpretation Processor: dim=1 interpretation: [s](x0) = 4x0, [g](x0, x1) = 4x0 + 2x1 + 4, [a] = 0, [f](x0, x1) = x0 + x1 orientation: s(a()) = 0 >= 0 = a() s(s(x)) = 16x >= x = x s(f(x,y)) = 4x + 4y >= 4x + 4y = f(s(y),s(x)) s(g(x,y)) = 16x + 8y + 16 >= 16x + 8y + 4 = g(s(x),s(y)) f(x,a()) = x >= x = x f(a(),y) = y >= y = y f(g(x,y),g(u,v)) = 4u + 2v + 4x + 2y + 8 >= 4u + 2v + 4x + 2y + 4 = g(f(x,u),f(y,v)) g(a(),a()) = 4 >= 0 = a() problem: s(a()) -> a() s(s(x)) -> x s(f(x,y)) -> f(s(y),s(x)) f(x,a()) -> x f(a(),y) -> y Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [s](x0) = [0 0 1]x0 [0 1 0] , [0] [a] = [1] [1], [f](x0, x1) = x0 + x1 orientation: [1] [0] s(a()) = [1] >= [1] = a() [1] [1] [1 1 1] s(s(x)) = [0 1 0]x >= x = x [0 0 1] [1 0 1] [1 0 1] [1 0 1] [1 0 1] s(f(x,y)) = [0 0 1]x + [0 0 1]y >= [0 0 1]x + [0 0 1]y = f(s(y),s(x)) [0 1 0] [0 1 0] [0 1 0] [0 1 0] [0] f(x,a()) = x + [1] >= x = x [1] [0] f(a(),y) = y + [1] >= y = y [1] problem: s(s(x)) -> x s(f(x,y)) -> f(s(y),s(x)) f(x,a()) -> x f(a(),y) -> y Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [s](x0) = [0 0 1]x0 [0 1 0] , [0] [a] = [0] [0],
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