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TRS Standard pair #516961909
details
property
value
status
complete
benchmark
ExIntrod_GM04_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n128.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.19623684883 seconds
cpu usage
3.231294076
max memory
2.82341376E8
stage attributes
key
value
output-size
21026
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: a__nats() -> a__adx(a__zeros()) a__zeros() -> cons(0(),zeros()) a__incr(cons(X,Y)) -> cons(s(X),incr(Y)) a__adx(cons(X,Y)) -> a__incr(cons(X,adx(Y))) a__hd(cons(X,Y)) -> mark(X) a__tl(cons(X,Y)) -> mark(Y) mark(nats()) -> a__nats() mark(adx(X)) -> a__adx(mark(X)) mark(zeros()) -> a__zeros() mark(incr(X)) -> a__incr(mark(X)) mark(hd(X)) -> a__hd(mark(X)) mark(tl(X)) -> a__tl(mark(X)) mark(cons(X1,X2)) -> cons(X1,X2) mark(0()) -> 0() mark(s(X)) -> s(X) a__nats() -> nats() a__adx(X) -> adx(X) a__zeros() -> zeros() a__incr(X) -> incr(X) a__hd(X) -> hd(X) a__tl(X) -> tl(X) Proof: Matrix Interpretation Processor: dim=1 interpretation: [zeros] = 0, [tl](x0) = 4x0 + 2, [incr](x0) = x0, [a__zeros] = 0, [0] = 0, [cons](x0, x1) = 2x0 + 2x1, [a__hd](x0) = 2x0, [a__nats] = 1, [s](x0) = x0, [hd](x0) = 2x0, [a__tl](x0) = 4x0 + 2, [mark](x0) = 2x0, [adx](x0) = x0, [nats] = 1, [a__incr](x0) = x0, [a__adx](x0) = x0 orientation: a__nats() = 1 >= 0 = a__adx(a__zeros()) a__zeros() = 0 >= 0 = cons(0(),zeros()) a__incr(cons(X,Y)) = 2X + 2Y >= 2X + 2Y = cons(s(X),incr(Y)) a__adx(cons(X,Y)) = 2X + 2Y >= 2X + 2Y = a__incr(cons(X,adx(Y))) a__hd(cons(X,Y)) = 4X + 4Y >= 2X = mark(X) a__tl(cons(X,Y)) = 8X + 8Y + 2 >= 2Y = mark(Y) mark(nats()) = 2 >= 1 = a__nats() mark(adx(X)) = 2X >= 2X = a__adx(mark(X)) mark(zeros()) = 0 >= 0 = a__zeros() mark(incr(X)) = 2X >= 2X = a__incr(mark(X)) mark(hd(X)) = 4X >= 4X = a__hd(mark(X)) mark(tl(X)) = 8X + 4 >= 8X + 2 = a__tl(mark(X)) mark(cons(X1,X2)) = 4X1 + 4X2 >= 2X1 + 2X2 = cons(X1,X2) mark(0()) = 0 >= 0 = 0() mark(s(X)) = 2X >= X = s(X) a__nats() = 1 >= 1 = nats() a__adx(X) = X >= X = adx(X)
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