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TRS Standard pair #516967029
details
property
value
status
complete
benchmark
#3.35.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
AG01
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.432202100754 seconds
cpu usage
0.471870928
max memory
1.42462976E8
stage attributes
key
value
output-size
1259
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: g(s(x)) -> f(x) f(0()) -> s(0()) f(s(x)) -> s(s(g(x))) g(0()) -> 0() Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 1 1] [g](x0) = [1 1 0]x0 [0 0 1] , [0] [0] = [1] [0], [1 0 0] [0] [s](x0) = [0 1 1]x0 + [0] [0 0 0] [1], [1 1 1] [0] [f](x0) = [1 1 1]x0 + [0] [0 0 0] [1] orientation: [1 1 1] [1] [1 1 1] [0] g(s(x)) = [1 1 1]x + [0] >= [1 1 1]x + [0] = f(x) [0 0 0] [1] [0 0 0] [1] [1] [0] f(0()) = [1] >= [1] = s(0()) [1] [1] [1 1 1] [1] [1 1 1] [0] f(s(x)) = [1 1 1]x + [1] >= [1 1 1]x + [1] = s(s(g(x))) [0 0 0] [1] [0 0 0] [1] [1] [0] g(0()) = [1] >= [1] = 0() [0] [0] problem: Qed
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