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TRS Standard pair #516964014
details
property
value
status
complete
benchmark
18.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n081.star.cs.uiowa.edu
space
Various_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.425704956055 seconds
cpu usage
0.644682317
max memory
1.56942336E8
stage attributes
key
value
output-size
999
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,y),*(x,z)) -> *(x,+(y,z)) +(+(x,y),z) -> +(x,+(y,z)) +(*(x,y),+(*(x,z),u())) -> +(*(x,+(y,z)),u()) Proof: Matrix Interpretation Processor: dim=1 interpretation: [+](x0, x1) = x0 + x1 + 2, [*](x0, x1) = 4x0 + 2x1 + 4, [u] = 2 orientation: +(*(x,y),*(x,z)) = 8x + 2y + 2z + 10 >= 4x + 2y + 2z + 8 = *(x,+(y,z)) +(+(x,y),z) = x + y + z + 4 >= x + y + z + 4 = +(x,+(y,z)) +(*(x,y),+(*(x,z),u())) = 8x + 2y + 2z + 14 >= 4x + 2y + 2z + 12 = +(*(x,+(y,z)),u()) problem: +(+(x,y),z) -> +(x,+(y,z)) Matrix Interpretation Processor: dim=1 interpretation: [+](x0, x1) = 2x0 + x1 + 2 orientation: +(+(x,y),z) = 4x + 2y + z + 6 >= 2x + 2y + z + 4 = +(x,+(y,z)) problem: Qed
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