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TRS Relative pair #487081886
details
property
value
status
complete
benchmark
rtL-me3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
7.31445 seconds
cpu usage
27.452
user time
22.2349
system time
5.2171
max virtual memory
6503952.0
max residence set size
78232.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: strict: topB(i,N1(x),y) -> topA(1(),T1(x),y) topA(i,x,N2(y)) -> topB(0(),x,T2(y)) topB(i,S1(x),y) -> topA(i,N1(x),y) topA(i,x,S2(y)) -> topB(i,x,N2(y)) topA(i,N1(x),T2(y)) -> topB(i,N1(x),S2(y)) topA(1(),T1(x),T2(y)) -> topB(1(),T1(x),S2(y)) weak: topA(i,N1(x),y) -> topA(1(),T1(x),y) topB(i,x,N2(y)) -> topB(0(),x,T2(y)) topA(i,S1(x),y) -> topA(i,N1(x),y) topB(i,x,S2(y)) -> topB(i,x,N2(y)) topB(i,N1(x),T2(y)) -> topB(i,N1(x),S2(y)) topB(1(),T1(x),T2(y)) -> topB(1(),T1(x),S2(y)) topA(i,N1(x),y) -> topA(i,N1(C(x)),y) topB(i,x,N2(y)) -> topB(i,x,N2(C(y))) topA(i,T1(x),y) -> topA(i,T1(x),y) topB(i,x,T2(y)) -> topB(i,x,T2(y)) topB(i,x,S2(y)) -> topB(i,x,S2(D(y))) Proof: Matrix Interpretation Processor: dim=2 interpretation: [2 0] [2 1] [1 0] [topA](x0, x1, x2) = [0 0]x0 + [0 0]x1 + [0 0]x2, [1 0] [1] [S1](x0) = [0 3]x0 + [1], [2 0] [2 1] [1 0] [topB](x0, x1, x2) = [0 0]x0 + [0 0]x1 + [0 0]x2, [1 0] [T1](x0) = [0 0]x0, [3 0] [N2](x0) = [0 1]x0, [1 0] [C](x0) = [0 2]x0, [1 0] [N1](x0) = [0 0]x0, [3 0] [T2](x0) = [0 0]x0, [D](x0) = x0, [3 0] [0] [S2](x0) = [2 2]x0 + [2], [0] [0] = [0], [0] [1] = [0] orientation: [2 0] [2 0] [1 0] [2 0] [1 0] topB(i,N1(x),y) = [0 0]i + [0 0]x + [0 0]y >= [0 0]x + [0 0]y = topA(1(),T1(x),y) [2 0] [2 1] [3 0] [2 1] [3 0] topA(i,x,N2(y)) = [0 0]i + [0 0]x + [0 0]y >= [0 0]x + [0 0]y = topB(0(),x,T2(y)) [2 0] [2 3] [1 0] [3] [2 0] [2 0] [1 0] topB(i,S1(x),y) = [0 0]i + [0 0]x + [0 0]y + [0] >= [0 0]i + [0 0]x + [0 0]y = topA(i,N1(x),y) [2 0] [2 1] [3 0] [2 0] [2 1] [3 0] topA(i,x,S2(y)) = [0 0]i + [0 0]x + [0 0]y >= [0 0]i + [0 0]x + [0 0]y = topB(i,x,N2(y)) [2 0] [2 0] [3 0] [2 0] [2 0] [3 0] topA(i,N1(x),T2(y)) = [0 0]i + [0 0]x + [0 0]y >= [0 0]i + [0 0]x + [0 0]y = topB(i,N1(x),S2(y)) [2 0] [3 0] [2 0] [3 0] topA(1(),T1(x),T2(y)) = [0 0]x + [0 0]y >= [0 0]x + [0 0]y = topB(1(),T1(x),S2(y)) [2 0] [2 0] [1 0] [2 0] [1 0] topA(i,N1(x),y) = [0 0]i + [0 0]x + [0 0]y >= [0 0]x + [0 0]y = topA(1(),T1(x),y) [2 0] [2 1] [3 0] [2 1] [3 0] topB(i,x,N2(y)) = [0 0]i + [0 0]x + [0 0]y >= [0 0]x + [0 0]y = topB(0(),x,T2(y)) [2 0] [2 3] [1 0] [3] [2 0] [2 0] [1 0] topA(i,S1(x),y) = [0 0]i + [0 0]x + [0 0]y + [0] >= [0 0]i + [0 0]x + [0 0]y = topA(i,N1(x),y) [2 0] [2 1] [3 0] [2 0] [2 1] [3 0] topB(i,x,S2(y)) = [0 0]i + [0 0]x + [0 0]y >= [0 0]i + [0 0]x + [0 0]y = topB(i,x,N2(y)) [2 0] [2 0] [3 0] [2 0] [2 0] [3 0] topB(i,N1(x),T2(y)) = [0 0]i + [0 0]x + [0 0]y >= [0 0]i + [0 0]x + [0 0]y = topB(i,N1(x),S2(y)) [2 0] [3 0] [2 0] [3 0] topB(1(),T1(x),T2(y)) = [0 0]x + [0 0]y >= [0 0]x + [0 0]y = topB(1(),T1(x),S2(y)) [2 0] [2 0] [1 0] [2 0] [2 0] [1 0]
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