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TRS Standard pair #516962769
details
property
value
status
complete
benchmark
PEANO_nosorts_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n135.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.699170827866 seconds
cpu usage
1.637139716
max memory
2.57171456E8
stage attributes
key
value
output-size
11806
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: a__and(tt(),X) -> mark(X) a__plus(N,0()) -> mark(N) a__plus(N,s(M)) -> s(a__plus(mark(N),mark(M))) mark(and(X1,X2)) -> a__and(mark(X1),X2) mark(plus(X1,X2)) -> a__plus(mark(X1),mark(X2)) mark(tt()) -> tt() mark(0()) -> 0() mark(s(X)) -> s(mark(X)) a__and(X1,X2) -> and(X1,X2) a__plus(X1,X2) -> plus(X1,X2) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 1 0] [0] [a__plus](x0, x1) = [0 1 0]x0 + [0 1 0]x1 + [0] [0 0 0] [0 0 0] [1], [1 1 0] [1 0 0] [a__and](x0, x1) = [0 0 0]x0 + [0 1 0]x1 [0 0 1] [0 0 0] , [1] [0] = [0] [1], [0] [s](x0) = x0 + [1] [0], [0] [tt] = [1] [1], [1 0 0] [1 1 0] [0] [plus](x0, x1) = [0 1 0]x0 + [0 1 0]x1 + [0] [0 0 0] [0 0 0] [1], [1 1 0] [1 0 0] [and](x0, x1) = [0 0 0]x0 + [0 1 0]x1 [0 0 1] [0 0 0] , [1 0 0] [0] [mark](x0) = [0 1 0]x0 + [0] [0 0 0] [1] orientation: [1 0 0] [1] [1 0 0] [0] a__and(tt(),X) = [0 1 0]X + [0] >= [0 1 0]X + [0] = mark(X) [0 0 0] [1] [0 0 0] [1] [1 0 0] [1] [1 0 0] [0] a__plus(N,0()) = [0 1 0]N + [0] >= [0 1 0]N + [0] = mark(N) [0 0 0] [1] [0 0 0] [1] [1 1 0] [1 0 0] [1] [1 1 0] [1 0 0] [0] a__plus(N,s(M)) = [0 1 0]M + [0 1 0]N + [1] >= [0 1 0]M + [0 1 0]N + [1] = s(a__plus(mark(N),mark(M))) [0 0 0] [0 0 0] [1] [0 0 0] [0 0 0] [1] [1 1 0] [1 0 0] [0] [1 1 0] [1 0 0] [0] mark(and(X1,X2)) = [0 0 0]X1 + [0 1 0]X2 + [0] >= [0 0 0]X1 + [0 1 0]X2 + [0] = a__and(mark(X1),X2) [0 0 0] [0 0 0] [1] [0 0 0] [0 0 0] [1] [1 0 0] [1 1 0] [0] [1 0 0] [1 1 0] [0] mark(plus(X1,X2)) = [0 1 0]X1 + [0 1 0]X2 + [0] >= [0 1 0]X1 + [0 1 0]X2 + [0] = a__plus(mark(X1),mark(X2)) [0 0 0] [0 0 0] [1] [0 0 0] [0 0 0] [1] [0] [0] mark(tt()) = [1] >= [1] = tt() [1] [1] [1] [1] mark(0()) = [0] >= [0] = 0() [1] [1] [1 0 0] [0] [1 0 0] [0] mark(s(X)) = [0 1 0]X + [1] >= [0 1 0]X + [1] = s(mark(X)) [0 0 0] [1] [0 0 0] [1] [1 1 0] [1 0 0] [1 1 0] [1 0 0] a__and(X1,X2) = [0 0 0]X1 + [0 1 0]X2 >= [0 0 0]X1 + [0 1 0]X2 = and(X1,X2) [0 0 1] [0 0 0] [0 0 1] [0 0 0] [1 0 0] [1 1 0] [0] [1 0 0] [1 1 0] [0] a__plus(X1,X2) = [0 1 0]X1 + [0 1 0]X2 + [0] >= [0 1 0]X1 + [0 1 0]X2 + [0] = plus(X1,X2) [0 0 0] [0 0 0] [1] [0 0 0] [0 0 0] [1] problem: mark(and(X1,X2)) -> a__and(mark(X1),X2) mark(plus(X1,X2)) -> a__plus(mark(X1),mark(X2)) mark(tt()) -> tt() mark(0()) -> 0()
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