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TRS Standard pair #516964749
details
property
value
status
complete
benchmark
test829.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.415345907211 seconds
cpu usage
0.615044292
max memory
1.47095552E8
stage attributes
key
value
output-size
1261
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: f(c(X,s(Y))) -> f(c(s(X),Y)) g(c(s(X),Y)) -> f(c(X,s(Y))) Proof: Matrix Interpretation Processor: dim=1 interpretation: [c](x0, x1) = x0 + x1 + 2, [g](x0) = x0 + 7, [s](x0) = x0, [f](x0) = x0 + 6 orientation: f(c(X,s(Y))) = X + Y + 8 >= X + Y + 8 = f(c(s(X),Y)) g(c(s(X),Y)) = X + Y + 9 >= X + Y + 8 = f(c(X,s(Y))) problem: f(c(X,s(Y))) -> f(c(s(X),Y)) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [c](x0, x1) = [0 0 0]x0 + x1 [0 0 0] , [0] [s](x0) = x0 + [0] [1], [1 0 1] [f](x0) = [0 1 0]x0 [0 0 0] orientation: [1 0 0] [1 0 1] [1] [1 0 0] [1 0 1] f(c(X,s(Y))) = [0 0 0]X + [0 1 0]Y + [0] >= [0 0 0]X + [0 1 0]Y = f(c(s(X),Y)) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] problem: Qed
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