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TRS Standard pair #487069642
details
property
value
status
complete
benchmark
PEANO_nosorts_noand_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n071.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.59504 seconds
cpu usage
5.02257
user time
4.14148
system time
0.881089
max virtual memory
1968384.0
max residence set size
83524.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: active(U11(tt(),M,N)) -> mark(U12(tt(),M,N)) active(U12(tt(),M,N)) -> mark(s(plus(N,M))) active(plus(N,0())) -> mark(N) active(plus(N,s(M))) -> mark(U11(tt(),M,N)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(s(X)) -> active(s(mark(X))) mark(plus(X1,X2)) -> active(plus(mark(X1),mark(X2))) mark(0()) -> active(0()) U11(mark(X1),X2,X3) -> U11(X1,X2,X3) U11(X1,mark(X2),X3) -> U11(X1,X2,X3) U11(X1,X2,mark(X3)) -> U11(X1,X2,X3) U11(active(X1),X2,X3) -> U11(X1,X2,X3) U11(X1,active(X2),X3) -> U11(X1,X2,X3) U11(X1,X2,active(X3)) -> U11(X1,X2,X3) U12(mark(X1),X2,X3) -> U12(X1,X2,X3) U12(X1,mark(X2),X3) -> U12(X1,X2,X3) U12(X1,X2,mark(X3)) -> U12(X1,X2,X3) U12(active(X1),X2,X3) -> U12(X1,X2,X3) U12(X1,active(X2),X3) -> U12(X1,X2,X3) U12(X1,X2,active(X3)) -> U12(X1,X2,X3) s(mark(X)) -> s(X) s(active(X)) -> s(X) plus(mark(X1),X2) -> plus(X1,X2) plus(X1,mark(X2)) -> plus(X1,X2) plus(active(X1),X2) -> plus(X1,X2) plus(X1,active(X2)) -> plus(X1,X2) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [mark](x0) = [0 1 0]x0 [0 0 0] , [1 0 0] [1 1 0] [1 1 0] [1] [U11](x0, x1, x2) = [0 0 0]x0 + [0 1 0]x1 + [0 1 0]x2 + [1] [0 0 0] [0 0 0] [0 0 0] [0], [1 0 0] [1 1 0] [1 1 0] [U12](x0, x1, x2) = [0 1 0]x0 + [0 1 0]x1 + [0 1 0]x2 [0 0 0] [0 1 0] [0 0 0] , [1 1 0] [1 1 0] [plus](x0, x1) = [0 1 0]x0 + [0 1 0]x1 [0 0 0] [0 0 0] , [0] [tt] = [1] [0], [0] [0] = [1] [0], [1 0 0] [0] [s](x0) = [0 1 0]x0 + [1] [0 1 0] [0], [1 0 0] [active](x0) = [0 1 0]x0 [0 0 0] orientation: [1 1 0] [1 1 0] [1] [1 1 0] [1 1 0] [0] active(U11(tt(),M,N)) = [0 1 0]M + [0 1 0]N + [1] >= [0 1 0]M + [0 1 0]N + [1] = mark(U12(tt(),M,N)) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0] [1 1 0] [1 1 0] [0] [1 1 0] [1 1 0] [0] active(U12(tt(),M,N)) = [0 1 0]M + [0 1 0]N + [1] >= [0 1 0]M + [0 1 0]N + [1] = mark(s(plus(N,M))) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0] [1 1 0] [1] [1 0 0] active(plus(N,0())) = [0 1 0]N + [1] >= [0 1 0]N = mark(N) [0 0 0] [0] [0 0 0] [1 1 0] [1 1 0] [1] [1 1 0] [1 1 0] [1] active(plus(N,s(M))) = [0 1 0]M + [0 1 0]N + [1] >= [0 1 0]M + [0 1 0]N + [1] = mark(U11(tt(),M,N)) [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0] [1 0 0] [1 1 0] [1 1 0] [1] [1 0 0] [1 1 0] [1 1 0] [1] mark(U11(X1,X2,X3)) = [0 0 0]X1 + [0 1 0]X2 + [0 1 0]X3 + [1] >= [0 0 0]X1 + [0 1 0]X2 + [0 1 0]X3 + [1] = active(U11(mark(X1),X2,X3)) [0 0 0] [0 0 0] [0 0 0] [0] [0 0 0] [0 0 0] [0 0 0] [0] [0] [0] mark(tt()) = [1] >= [1] = active(tt()) [0] [0] [1 0 0] [1 1 0] [1 1 0] [1 0 0] [1 1 0] [1 1 0] mark(U12(X1,X2,X3)) = [0 1 0]X1 + [0 1 0]X2 + [0 1 0]X3 >= [0 1 0]X1 + [0 1 0]X2 + [0 1 0]X3 = active(U12(mark(X1),X2,X3)) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [0 0 0] [0 0 0] [1 0 0] [0] [1 0 0] [0] mark(s(X)) = [0 1 0]X + [1] >= [0 1 0]X + [1] = active(s(mark(X))) [0 0 0] [0] [0 0 0] [0]
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