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TRS Standard pair #487071337
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
n190.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.504189 seconds
cpu usage
0.973863
user time
0.713841
system time
0.260022
max virtual memory
96176.0
max residence set size
60772.0
stage attributes
key
value
starexec-result
YES
output
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=1 interpretation: [plus](x0, x1) = x0 + 2x1 + 1, [U11](x0, x1, x2) = x0 + 2x1 + x2 + 6, [U12](x0, x1, x2) = x0 + 2x1 + x2 + 3, [s](x0) = x0 + 6, [tt] = 7, [0] = 1, [activate](x0) = x0 + 1 orientation: U11(tt(),M,N) = 2M + N + 13 >= 2M + N + 13 = U12(tt(),activate(M),activate(N)) U12(tt(),M,N) = 2M + N + 10 >= 2M + N + 10 = s(plus(activate(N),activate(M))) plus(N,0()) = N + 3 >= N = N plus(N,s(M)) = 2M + N + 13 >= 2M + N + 13 = U11(tt(),M,N) activate(X) = X + 1 >= 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) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [1 1 0] [0] [plus](x0, x1) = [1 1 0]x0 + [0 0 1]x1 + [1] [1 0 0] [1 1 0] [0], [1 1 0] [1 0 1] [1 0 0] [U11](x0, x1, x2) = [0 0 1]x0 + [1 0 0]x1 + [1 1 0]x2 [0 0 0] [1 0 1] [1 0 0] , [1 0 0] [1 0 0] [1 1 0] [0] [U12](x0, x1, x2) = [0 0 0]x0 + [1 0 0]x1 + [1 0 1]x2 + [1] [0 0 0] [1 0 0] [1 1 0] [0], [1 0 0] [0] [s](x0) = [0 0 1]x0 + [1] [1 0 0] [0], [0] [tt] = [1] [1], [1 0 0] [activate](x0) = [0 0 0]x0 [0 1 0] orientation: [1 0 1] [1 0 0] [1] [1 0 0] [1 0 0] [0] U11(tt(),M,N) = [1 0 0]M + [1 1 0]N + [1] >= [1 0 0]M + [1 1 0]N + [1] = U12(tt(),activate(M),activate(N)) [1 0 1] [1 0 0] [0] [1 0 0] [1 0 0] [0] [1 0 0] [1 1 0] [0] [1 0 0] [1 1 0] [0] U12(tt(),M,N) = [1 0 0]M + [1 0 1]N + [1] >= [1 0 0]M + [1 0 0]N + [1] = s(plus(activate(N),activate(M))) [1 0 0] [1 1 0] [0] [1 0 0] [1 1 0] [0] [1 0 1] [1 0 1] [1] [1 0 1] [1 0 0] [1] plus(N,s(M)) = [1 0 0]M + [1 1 0]N + [1] >= [1 0 0]M + [1 1 0]N + [1] = U11(tt(),M,N) [1 0 1] [1 0 0] [1] [1 0 1] [1 0 0] [0] problem: U12(tt(),M,N) -> s(plus(activate(N),activate(M))) plus(N,s(M)) -> U11(tt(),M,N) Matrix Interpretation Processor: dim=1 interpretation: [plus](x0, x1) = x0 + x1, [U11](x0, x1, x2) = x0 + x1 + x2 + 3, [U12](x0, x1, x2) = x0 + x1 + x2 + 6, [s](x0) = x0 + 7, [tt] = 1, [activate](x0) = x0 orientation: U12(tt(),M,N) = M + N + 7 >= M + N + 7 = s(plus(activate(N),activate(M))) plus(N,s(M)) = M + N + 7 >= M + N + 4 = U11(tt(),M,N) problem:
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