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TRS Standard pair #516963999
details
property
value
status
complete
benchmark
06.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n065.star.cs.uiowa.edu
space
Various_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.454794883728 seconds
cpu usage
0.46200403
max memory
1.10260224E8
stage attributes
key
value
output-size
1364
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: f(x,y) -> g1(x,x,y) f(x,y) -> g1(y,x,x) f(x,y) -> g2(x,y,y) f(x,y) -> g2(y,y,x) g1(x,x,y) -> h(x,y) g1(y,x,x) -> h(x,y) g2(x,y,y) -> h(x,y) g2(y,y,x) -> h(x,y) h(x,x) -> x Proof: Polynomial Interpretation Processor: dimension: 1 interpretation: [g1](x0, x1, x2) = 2x0 + 4x2 + x0x0 + x1x1 + 5, [h](x0, x1) = 2x1 + x0x0 + 4, [f](x0, x1) = 5x0 + 7x1 + 7x0x0 + 7x1x1 + 7, [g2](x0, x1, x2) = 5x1 + 2x2 + x0x0 + x1x1 + 2x2x2 + 6 orientation: f(x,y) = 5x + 7x*x + 7y + 7y*y + 7 >= 2x + 2x*x + 4y + 5 = g1(x,x,y) f(x,y) = 5x + 7x*x + 7y + 7y*y + 7 >= 4x + x*x + 2y + y*y + 5 = g1(y,x,x) f(x,y) = 5x + 7x*x + 7y + 7y*y + 7 >= x*x + 7y + 3y*y + 6 = g2(x,y,y) f(x,y) = 5x + 7x*x + 7y + 7y*y + 7 >= 2x + 2x*x + 5y + 2y*y + 6 = g2(y,y,x) g1(x,x,y) = 2x + 2x*x + 4y + 5 >= x*x + 2y + 4 = h(x,y) g1(y,x,x) = 4x + x*x + 2y + y*y + 5 >= x*x + 2y + 4 = h(x,y) g2(x,y,y) = x*x + 7y + 3y*y + 6 >= x*x + 2y + 4 = h(x,y) g2(y,y,x) = 2x + 2x*x + 5y + 2y*y + 6 >= x*x + 2y + 4 = h(x,y) h(x,x) = 2x + x*x + 4 >= x = x problem: Qed
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