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TRS Standard pair #487070302
details
property
value
status
complete
benchmark
Ex16_Luc06_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n181.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.421513 seconds
cpu usage
0.647448
user time
0.445176
system time
0.202272
max virtual memory
96176.0
max residence set size
59668.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a__f(X,X) -> a__f(a(),b()) a__b() -> a() mark(f(X1,X2)) -> a__f(mark(X1),X2) mark(b()) -> a__b() mark(a()) -> a() a__f(X1,X2) -> f(X1,X2) a__b() -> b() Proof: Matrix Interpretation Processor: dim=1 interpretation: [f](x0, x1) = x0 + x1 + 5, [a] = 0, [a__b] = 0, [mark](x0) = 2x0, [a__f](x0, x1) = x0 + x1 + 5, [b] = 0 orientation: a__f(X,X) = 2X + 5 >= 5 = a__f(a(),b()) a__b() = 0 >= 0 = a() mark(f(X1,X2)) = 2X1 + 2X2 + 10 >= 2X1 + X2 + 5 = a__f(mark(X1),X2) mark(b()) = 0 >= 0 = a__b() mark(a()) = 0 >= 0 = a() a__f(X1,X2) = X1 + X2 + 5 >= X1 + X2 + 5 = f(X1,X2) a__b() = 0 >= 0 = b() problem: a__f(X,X) -> a__f(a(),b()) a__b() -> a() mark(b()) -> a__b() mark(a()) -> a() a__f(X1,X2) -> f(X1,X2) a__b() -> b() Matrix Interpretation Processor: dim=1 interpretation: [f](x0, x1) = 2x0 + 4x1, [a] = 0, [a__b] = 4, [mark](x0) = x0 + 5, [a__f](x0, x1) = 4x0 + 4x1 + 5, [b] = 0 orientation: a__f(X,X) = 8X + 5 >= 5 = a__f(a(),b()) a__b() = 4 >= 0 = a() mark(b()) = 5 >= 4 = a__b() mark(a()) = 5 >= 0 = a() a__f(X1,X2) = 4X1 + 4X2 + 5 >= 2X1 + 4X2 = f(X1,X2) a__b() = 4 >= 0 = b() problem: a__f(X,X) -> a__f(a(),b()) DP Processor: DPs: a__f#(X,X) -> a__f#(a(),b()) TRS: a__f(X,X) -> a__f(a(),b()) EDG Processor: DPs: a__f#(X,X) -> a__f#(a(),b()) TRS: a__f(X,X) -> a__f(a(),b()) graph: SCC Processor: #sccs: 0 #rules: 0 #arcs: 0/1
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