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TRS Standard pair #487070277
details
property
value
status
complete
benchmark
Ex4_7_77_Bor03_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n191.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.454188 seconds
cpu usage
0.768027
user time
0.579778
system time
0.188249
max virtual memory
96176.0
max residence set size
59860.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a__zeros() -> cons(0(),zeros()) a__tail(cons(X,XS)) -> mark(XS) mark(zeros()) -> a__zeros() mark(tail(X)) -> a__tail(mark(X)) mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(0()) -> 0() a__zeros() -> zeros() a__tail(X) -> tail(X) Proof: Matrix Interpretation Processor: dim=1 interpretation: [a__tail](x0) = 4x0, [0] = 0, [cons](x0, x1) = 4x0 + 4x1 + 1, [mark](x0) = 5x0, [a__zeros] = 5, [tail](x0) = 4x0, [zeros] = 1 orientation: a__zeros() = 5 >= 5 = cons(0(),zeros()) a__tail(cons(X,XS)) = 16X + 16XS + 4 >= 5XS = mark(XS) mark(zeros()) = 5 >= 5 = a__zeros() mark(tail(X)) = 20X >= 20X = a__tail(mark(X)) mark(cons(X1,X2)) = 20X1 + 20X2 + 5 >= 20X1 + 4X2 + 1 = cons(mark(X1),X2) mark(0()) = 0 >= 0 = 0() a__zeros() = 5 >= 1 = zeros() a__tail(X) = 4X >= 4X = tail(X) problem: a__zeros() -> cons(0(),zeros()) mark(zeros()) -> a__zeros() mark(tail(X)) -> a__tail(mark(X)) mark(0()) -> 0() a__tail(X) -> tail(X) Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1] [a__tail](x0) = [0 0 0]x0 + [1] [0 0 1] [0], [0] [0] = [0] [0], [1 0 0] [1 0 0] [cons](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1 0 1] [0] [mark](x0) = [0 1 0]x0 + [0] [0 0 0] [1], [1] [a__zeros] = [0] [0], [1 0 0] [1] [tail](x0) = [0 0 0]x0 + [1] [0 0 1] [0], [0] [zeros] = [0] [1] orientation: [1] [0] a__zeros() = [0] >= [0] = cons(0(),zeros()) [0] [0] [1] [1] mark(zeros()) = [0] >= [0] = a__zeros() [1] [0] [1 0 1] [1] [1 0 1] [1] mark(tail(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = a__tail(mark(X)) [0 0 0] [1] [0 0 0] [1] [0] [0] mark(0()) = [0] >= [0] = 0() [1] [0] [1 0 0] [1] [1 0 0] [1] a__tail(X) = [0 0 0]X + [1] >= [0 0 0]X + [1] = tail(X)
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