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TRS Stand 20472 pair #381716704
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
n073.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.773123979568 seconds
cpu usage
1.78740595
max memory
1.80293632E8
stage attributes
key
value
output-size
10279
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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: [if](x0, x1, x2) = x0 + 4x1 + x2, [false] = 0, [a__if](x0, x1, x2) = x0 + 4x1 + 4x2, [f](x0) = 4x0 + 1, [true] = 0, [c] = 0, [mark](x0) = 4x0, [a__f](x0) = 4x0 + 4 orientation: a__f(X) = 4X + 4 >= 4X + 4 = a__if(mark(X),c(),f(true())) a__if(true(),X,Y) = 4X + 4Y >= 4X = mark(X) a__if(false(),X,Y) = 4X + 4Y >= 4Y = mark(Y) mark(f(X)) = 16X + 4 >= 16X + 4 = a__f(mark(X)) mark(if(X1,X2,X3)) = 4X1 + 16X2 + 4X3 >= 4X1 + 16X2 + 4X3 = a__if(mark(X1),mark(X2),X3) mark(c()) = 0 >= 0 = c() mark(true()) = 0 >= 0 = true() mark(false()) = 0 >= 0 = false() a__f(X) = 4X + 4 >= 4X + 1 = f(X) a__if(X1,X2,X3) = X1 + 4X2 + 4X3 >= X1 + 4X2 + X3 = if(X1,X2,X3) 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__if(X1,X2,X3) -> if(X1,X2,X3) Matrix Interpretation Processor: dim=3 interpretation: [1 1 0] [1 1 0] [1 1 1] [if](x0, x1, x2) = [0 0 0]x0 + [0 0 0]x1 + [0 0 0]x2 [0 0 1] [0 0 1] [0 0 0] , [1] [false] = [0] [0], [1 1 0] [1 1 1] [1 1 1] [a__if](x0, x1, x2) = [0 0 1]x0 + [0 1 1]x1 + [0 0 0]x2 [0 0 1] [0 0 1] [0 0 0] , [1 0 1] [1] [f](x0) = [0 0 0]x0 + [0] [0 1 0] [0], [0] [true] = [0] [0], [0] [c] = [0] [0], [1 0 1] [mark](x0) = [0 0 0]x0 [0 0 0] ,
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