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TRS Standard pair #516963274
details
property
value
status
complete
benchmark
PEANO_nosorts-noand_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n005.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.546485185623 seconds
cpu usage
0.909765731
max memory
2.0258816E8
stage attributes
key
value
output-size
6438
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: U11(tt(),M,N) -> U12(tt(),activate(M),activate(N)) U12(tt(),M,N) -> s(plus(activate(N),activate(M))) plus(N,0()) -> N plus(N,s(M)) -> U11(tt(),M,N) activate(X) -> X Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 0 0] [0] [plus](x0, x1) = [0 1 0]x0 + [0 0 0]x1 + [0] [1 1 1] [0 0 0] [1], [1 0 0] [1 0 0] [1 0 0] [0] [U11](x0, x1, x2) = [0 0 0]x0 + [0 0 0]x1 + [0 0 0]x2 + [0] [0 0 0] [0 0 0] [1 1 1] [1], [1 0 0] [1 0 0] [1 0 0] [U12](x0, x1, x2) = [0 0 0]x0 + [0 0 0]x1 + [0 0 0]x2 [0 0 0] [0 0 0] [0 1 0] , [1 0 0] [s](x0) = [0 0 0]x0 [0 1 0] , [0] [tt] = [0] [0], [1] [0] = [0] [0], [activate](x0) = x0 orientation: [1 0 0] [1 0 0] [0] [1 0 0] [1 0 0] U11(tt(),M,N) = [0 0 0]M + [0 0 0]N + [0] >= [0 0 0]M + [0 0 0]N = U12(tt(),activate(M),activate(N)) [0 0 0] [1 1 1] [1] [0 0 0] [0 1 0] [1 0 0] [1 0 0] [1 0 0] [1 0 0] U12(tt(),M,N) = [0 0 0]M + [0 0 0]N >= [0 0 0]M + [0 0 0]N = s(plus(activate(N),activate(M))) [0 0 0] [0 1 0] [0 0 0] [0 1 0] [1 0 0] [1] plus(N,0()) = [0 1 0]N + [0] >= N = N [1 1 1] [1] [1 0 0] [1 0 0] [0] [1 0 0] [1 0 0] [0] plus(N,s(M)) = [0 0 0]M + [0 1 0]N + [0] >= [0 0 0]M + [0 0 0]N + [0] = U11(tt(),M,N) [0 0 0] [1 1 1] [1] [0 0 0] [1 1 1] [1] activate(X) = X >= X = X problem: U11(tt(),M,N) -> U12(tt(),activate(M),activate(N)) U12(tt(),M,N) -> s(plus(activate(N),activate(M))) plus(N,s(M)) -> U11(tt(),M,N) activate(X) -> X Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 1 0] [plus](x0, x1) = [1 0 0]x0 + [0 1 0]x1 [0 0 0] [0 0 1] , [1 1 0] [1 1 1] [1 0 0] [0] [U11](x0, x1, x2) = [0 0 0]x0 + [0 1 0]x1 + [1 0 0]x2 + [1] [0 0 0] [0 0 0] [0 0 0] [1], [1 0 0] [1 1 1] [1 0 0] [0] [U12](x0, x1, x2) = [0 0 0]x0 + [0 1 0]x1 + [1 0 0]x2 + [1] [0 0 1] [0 0 0] [0 0 0] [0], [1 0 1] [0] [s](x0) = [0 1 0]x0 + [1] [0 0 0] [1], [0] [tt] = [1] [1], [activate](x0) = x0 orientation: [1 1 1] [1 0 0] [1] [1 1 1] [1 0 0] [0] U11(tt(),M,N) = [0 1 0]M + [1 0 0]N + [1] >= [0 1 0]M + [1 0 0]N + [1] = U12(tt(),activate(M),activate(N))
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