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TRS Standard pair #516961734
details
property
value
status
complete
benchmark
PEANO_nosorts_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n118.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.470082044601 seconds
cpu usage
0.572496901
max memory
1.5878144E8
stage attributes
key
value
output-size
2353
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: and(tt(),X) -> activate(X) plus(N,0()) -> N plus(N,s(M)) -> s(plus(N,M)) activate(X) -> X Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [plus](x0, x1) = x0 + [0 0 0]x1 [0 0 1] , [1 0 0] [1] [and](x0, x1) = [0 0 0]x0 + x1 + [0] [0 0 0] [0], [0] [0] = [0] [0], [0] [s](x0) = x0 + [0] [1], [0] [tt] = [0] [0], [activate](x0) = x0 orientation: [1] and(tt(),X) = X + [0] >= X = activate(X) [0] plus(N,0()) = N >= N = N [1 0 1] [1] [1 0 1] [0] plus(N,s(M)) = [0 0 0]M + N + [0] >= [0 0 0]M + N + [0] = s(plus(N,M)) [0 0 1] [1] [0 0 1] [1] activate(X) = X >= X = X problem: plus(N,0()) -> N activate(X) -> X Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1] [plus](x0, x1) = x0 + [0 0 0]x1 + [1] [0 0 0] [0], [0] [0] = [0] [0], [activate](x0) = x0 orientation: [1] plus(N,0()) = N + [1] >= N = N [0] activate(X) = X >= X = X problem: activate(X) -> X Matrix Interpretation Processor: dim=3 interpretation: [1] [activate](x0) = x0 + [0] [0] orientation: [1] activate(X) = X + [0] >= X = X [0] problem: Qed
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