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TRS Standard pair #487071622
details
property
value
status
complete
benchmark
Ex4_7_15_Bor03_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n174.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.21964 seconds
cpu usage
3.62563
user time
2.75482
system time
0.870811
max virtual memory
1941600.0
max residence set size
69184.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: active(f(0())) -> mark(cons(0(),f(s(0())))) active(f(s(0()))) -> mark(f(p(s(0())))) active(p(s(0()))) -> mark(0()) mark(f(X)) -> active(f(mark(X))) mark(0()) -> active(0()) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(p(X)) -> active(p(mark(X))) f(mark(X)) -> f(X) f(active(X)) -> f(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) p(mark(X)) -> p(X) p(active(X)) -> p(X) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [1 1 1] [cons](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 0] , [1 0 1] [f](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [s](x0) = [0 0 0]x0 [0 0 0] , [0] [mark](x0) = x0 + [1] [0], [0] [0] = [0] [0], [1 0 0] [p](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [0] [active](x0) = [0 0 0]x0 + [1] [0 1 1] [0] orientation: [0] [0] active(f(0())) = [1] >= [1] = mark(cons(0(),f(s(0())))) [0] [0] [0] [0] active(f(s(0()))) = [1] >= [1] = mark(f(p(s(0())))) [0] [0] [0] [0] active(p(s(0()))) = [1] >= [1] = mark(0()) [0] [0] [1 0 1] [0] [1 0 1] [0] mark(f(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = active(f(mark(X))) [0 0 0] [0] [0 0 0] [0] [0] [0] mark(0()) = [1] >= [1] = active(0()) [0] [0] [1 0 0] [1 1 1] [0] [1 0 0] [1 1 1] [0] mark(cons(X1,X2)) = [0 0 0]X1 + [0 0 0]X2 + [1] >= [0 0 0]X1 + [0 0 0]X2 + [1] = active(cons(mark(X1),X2)) [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 0 0]X + [1] >= [0 0 0]X + [1] = active(s(mark(X))) [0 0 0] [0] [0 0 0] [0] [1 0 0] [0] [1 0 0] [0] mark(p(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = active(p(mark(X))) [0 0 0] [0] [0 0 0] [0] [1 0 1] [1 0 1] f(mark(X)) = [0 0 0]X >= [0 0 0]X = f(X) [0 0 0] [0 0 0] [1 1 1] [1 0 1] f(active(X)) = [0 0 0]X >= [0 0 0]X = f(X) [0 0 0] [0 0 0] [1 0 0] [1 1 1] [1 0 0] [1 1 1] cons(mark(X1),X2) = [0 0 0]X1 + [0 0 0]X2 >= [0 0 0]X1 + [0 0 0]X2 = cons(X1,X2) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [1 0 0] [1 1 1] [1] [1 0 0] [1 1 1] cons(X1,mark(X2)) = [0 0 0]X1 + [0 0 0]X2 + [0] >= [0 0 0]X1 + [0 0 0]X2 = cons(X1,X2)
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