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TRS Standard pair #487069842
details
property
value
status
complete
benchmark
Ex5_Zan97_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)
0.60331 seconds
cpu usage
1.31502
user time
0.915899
system time
0.399123
max virtual memory
1931496.0
max residence set size
63644.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a__f(X) -> a__if(mark(X),c(),f(true())) a__if(true(),X,Y) -> mark(X) a__if(false(),X,Y) -> mark(Y) mark(f(X)) -> a__f(mark(X)) mark(if(X1,X2,X3)) -> a__if(mark(X1),mark(X2),X3) mark(c()) -> c() mark(true()) -> true() mark(false()) -> false() a__f(X) -> f(X) a__if(X1,X2,X3) -> if(X1,X2,X3) Proof: Matrix Interpretation Processor: dim=1 interpretation: [f](x0) = 4x0, [mark](x0) = x0, [true] = 0, [a__if](x0, x1, x2) = 4x0 + x1 + x2, [a__f](x0) = 4x0, [if](x0, x1, x2) = 4x0 + x1 + x2, [false] = 4, [c] = 0 orientation: a__f(X) = 4X >= 4X = a__if(mark(X),c(),f(true())) a__if(true(),X,Y) = X + Y >= X = mark(X) a__if(false(),X,Y) = X + Y + 16 >= Y = mark(Y) mark(f(X)) = 4X >= 4X = a__f(mark(X)) mark(if(X1,X2,X3)) = 4X1 + X2 + X3 >= 4X1 + X2 + X3 = a__if(mark(X1),mark(X2),X3) mark(c()) = 0 >= 0 = c() mark(true()) = 0 >= 0 = true() mark(false()) = 4 >= 4 = false() a__f(X) = 4X >= 4X = f(X) a__if(X1,X2,X3) = 4X1 + X2 + X3 >= 4X1 + X2 + X3 = if(X1,X2,X3) problem: a__f(X) -> a__if(mark(X),c(),f(true())) a__if(true(),X,Y) -> mark(X) mark(f(X)) -> a__f(mark(X)) mark(if(X1,X2,X3)) -> a__if(mark(X1),mark(X2),X3) mark(c()) -> c() mark(true()) -> true() mark(false()) -> false() a__f(X) -> f(X) a__if(X1,X2,X3) -> if(X1,X2,X3) Matrix Interpretation Processor: dim=1 interpretation: [f](x0) = 4x0, [mark](x0) = 4x0, [true] = 0, [a__if](x0, x1, x2) = x0 + 5x1 + 4x2, [a__f](x0) = 4x0, [if](x0, x1, x2) = x0 + 5x1 + x2, [false] = 4, [c] = 0 orientation: a__f(X) = 4X >= 4X = a__if(mark(X),c(),f(true())) a__if(true(),X,Y) = 5X + 4Y >= 4X = mark(X) mark(f(X)) = 16X >= 16X = a__f(mark(X)) mark(if(X1,X2,X3)) = 4X1 + 20X2 + 4X3 >= 4X1 + 20X2 + 4X3 = a__if(mark(X1),mark(X2),X3) mark(c()) = 0 >= 0 = c() mark(true()) = 0 >= 0 = true() mark(false()) = 16 >= 4 = false() a__f(X) = 4X >= 4X = f(X) a__if(X1,X2,X3) = X1 + 5X2 + 4X3 >= X1 + 5X2 + X3 = if(X1,X2,X3) problem:
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