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TRS Standard pair #487071057
details
property
value
status
complete
benchmark
Ex5_Zan97_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n073.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.977824 seconds
cpu usage
2.75454
user time
2.12213
system time
0.632417
max virtual memory
1949300.0
max residence set size
69456.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: active(f(X)) -> mark(if(X,c(),f(true()))) active(if(true(),X,Y)) -> mark(X) active(if(false(),X,Y)) -> mark(Y) mark(f(X)) -> active(f(mark(X))) mark(if(X1,X2,X3)) -> active(if(mark(X1),mark(X2),X3)) mark(c()) -> active(c()) mark(true()) -> active(true()) mark(false()) -> active(false()) f(mark(X)) -> f(X) f(active(X)) -> f(X) if(mark(X1),X2,X3) -> if(X1,X2,X3) if(X1,mark(X2),X3) -> if(X1,X2,X3) if(X1,X2,mark(X3)) -> if(X1,X2,X3) if(active(X1),X2,X3) -> if(X1,X2,X3) if(X1,active(X2),X3) -> if(X1,X2,X3) if(X1,X2,active(X3)) -> if(X1,X2,X3) Proof: Matrix Interpretation Processor: dim=1 interpretation: [if](x0, x1, x2) = x0 + 4x1 + x2, [active](x0) = x0, [true] = 0, [mark](x0) = x0, [f](x0) = 2x0, [false] = 1, [c] = 0 orientation: active(f(X)) = 2X >= X = mark(if(X,c(),f(true()))) active(if(true(),X,Y)) = 4X + Y >= X = mark(X) active(if(false(),X,Y)) = 4X + Y + 1 >= Y = mark(Y) mark(f(X)) = 2X >= 2X = active(f(mark(X))) mark(if(X1,X2,X3)) = X1 + 4X2 + X3 >= X1 + 4X2 + X3 = active(if(mark(X1),mark(X2),X3)) mark(c()) = 0 >= 0 = active(c()) mark(true()) = 0 >= 0 = active(true()) mark(false()) = 1 >= 1 = active(false()) f(mark(X)) = 2X >= 2X = f(X) f(active(X)) = 2X >= 2X = f(X) if(mark(X1),X2,X3) = X1 + 4X2 + X3 >= X1 + 4X2 + X3 = if(X1,X2,X3) if(X1,mark(X2),X3) = X1 + 4X2 + X3 >= X1 + 4X2 + X3 = if(X1,X2,X3) if(X1,X2,mark(X3)) = X1 + 4X2 + X3 >= X1 + 4X2 + X3 = if(X1,X2,X3) if(active(X1),X2,X3) = X1 + 4X2 + X3 >= X1 + 4X2 + X3 = if(X1,X2,X3) if(X1,active(X2),X3) = X1 + 4X2 + X3 >= X1 + 4X2 + X3 = if(X1,X2,X3) if(X1,X2,active(X3)) = X1 + 4X2 + X3 >= X1 + 4X2 + X3 = if(X1,X2,X3) problem: active(f(X)) -> mark(if(X,c(),f(true()))) active(if(true(),X,Y)) -> mark(X) mark(f(X)) -> active(f(mark(X))) mark(if(X1,X2,X3)) -> active(if(mark(X1),mark(X2),X3)) mark(c()) -> active(c()) mark(true()) -> active(true()) mark(false()) -> active(false()) f(mark(X)) -> f(X) f(active(X)) -> f(X) if(mark(X1),X2,X3) -> if(X1,X2,X3) if(X1,mark(X2),X3) -> if(X1,X2,X3) if(X1,X2,mark(X3)) -> if(X1,X2,X3) if(active(X1),X2,X3) -> if(X1,X2,X3) if(X1,active(X2),X3) -> if(X1,X2,X3) if(X1,X2,active(X3)) -> if(X1,X2,X3) Matrix Interpretation Processor: dim=3 interpretation: [1 0 1] [1 0 1] [1 1 0] [if](x0, x1, x2) = [0 0 0]x0 + [0 1 0]x1 + [0 0 0]x2 [0 0 0] [0 0 0] [0 0 0] , [1 0 1] [active](x0) = [0 1 0]x0 [0 0 0] , [0] [true] = [0] [0],
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