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SRS Standard pair #516976598
details
property
value
status
complete
benchmark
random-383.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n094.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.95908784866 seconds
cpu usage
6.483256846
max memory
8.19523584E8
stage attributes
key
value
output-size
1854
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: b(b(a(a(x1)))) -> a(b(a(a(x1)))) b(a(a(a(x1)))) -> a(a(b(a(x1)))) a(a(a(a(x1)))) -> b(a(b(a(x1)))) Proof: Matrix Interpretation Processor: dim=4 interpretation: [1 0 0 1] [0] [1 0 1 0] [0] [b](x0) = [1 0 0 0]x0 + [1] [1 0 0 0] [0], [1 0 0 1] [0] [1 0 0 1] [1] [a](x0) = [0 1 0 0]x0 + [0] [0 1 0 0] [0] orientation: [3 2 0 3] [1] [3 2 0 3] [1] [3 2 0 3] [2] [3 2 0 3] [2] b(b(a(a(x1)))) = [2 1 0 2]x1 + [2] >= [2 1 0 2]x1 + [1] = a(b(a(a(x1)))) [2 1 0 2] [1] [2 1 0 2] [1] [3 2 0 3] [2] [3 2 0 3] [0] [3 2 0 3] [2] [3 2 0 3] [1] b(a(a(a(x1)))) = [2 1 0 2]x1 + [2] >= [2 1 0 2]x1 + [1] = a(a(b(a(x1)))) [2 1 0 2] [1] [2 1 0 2] [1] [3 2 0 3] [2] [3 2 0 3] [0] [3 2 0 3] [3] [3 2 0 3] [0] a(a(a(a(x1)))) = [2 1 0 2]x1 + [2] >= [2 1 0 2]x1 + [1] = b(a(b(a(x1)))) [2 1 0 2] [2] [2 1 0 2] [0] problem: b(b(a(a(x1)))) -> a(b(a(a(x1)))) String Reversal Processor: a(a(b(b(x1)))) -> a(a(b(a(x1)))) KBO Processor: weight function: w0 = 1 w(b) = 1 w(a) = 0 precedence: a > b problem: Qed
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