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SRS Standard pair #487511085
details
property
value
status
complete
benchmark
random-516.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n113.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.8862528801 seconds
cpu usage
6.241877737
max memory
7.7518848E8
stage attributes
key
value
output-size
1784
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: b(b(a(b(x1)))) -> b(b(b(a(x1)))) b(b(a(a(x1)))) -> a(a(b(b(x1)))) b(a(a(a(x1)))) -> b(b(b(a(x1)))) Proof: String Reversal Processor: b(a(b(b(x1)))) -> a(b(b(b(x1)))) a(a(b(b(x1)))) -> b(b(a(a(x1)))) a(a(a(b(x1)))) -> a(b(b(b(x1)))) Matrix Interpretation Processor: dim=1 interpretation: [a](x0) = x0 + 2, [b](x0) = x0 orientation: b(a(b(b(x1)))) = x1 + 2 >= x1 + 2 = a(b(b(b(x1)))) a(a(b(b(x1)))) = x1 + 4 >= x1 + 4 = b(b(a(a(x1)))) a(a(a(b(x1)))) = x1 + 6 >= x1 + 2 = a(b(b(b(x1)))) problem: b(a(b(b(x1)))) -> a(b(b(b(x1)))) a(a(b(b(x1)))) -> b(b(a(a(x1)))) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [a](x0) = [0 0 1]x0 [0 1 0] , [1 0 1] [0] [b](x0) = [0 0 1]x0 + [1] [0 0 1] [0] orientation: [1 0 3] [1] [1 0 3] [0] b(a(b(b(x1)))) = [0 0 1]x1 + [2] >= [0 0 1]x1 + [0] = a(b(b(b(x1)))) [0 0 1] [1] [0 0 1] [1] [1 0 2] [0] [1 0 2] [0] a(a(b(b(x1)))) = [0 0 1]x1 + [1] >= [0 0 1]x1 + [1] = b(b(a(a(x1)))) [0 0 1] [0] [0 0 1] [0] problem: a(a(b(b(x1)))) -> b(b(a(a(x1)))) KBO Processor: weight function: w0 = 1 w(b) = 1 w(a) = 0 precedence: a > b problem: Qed
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