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TRS Standard pair #487071212
details
property
value
status
complete
benchmark
ExIntrod_GM04_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n191.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
2.68248 seconds
cpu usage
9.24074
user time
7.70208
system time
1.53865
max virtual memory
1989064.0
max residence set size
111644.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: active(nats()) -> mark(adx(zeros())) active(zeros()) -> mark(cons(0(),zeros())) active(incr(cons(X,Y))) -> mark(cons(s(X),incr(Y))) active(adx(cons(X,Y))) -> mark(incr(cons(X,adx(Y)))) active(hd(cons(X,Y))) -> mark(X) active(tl(cons(X,Y))) -> mark(Y) mark(nats()) -> active(nats()) mark(adx(X)) -> active(adx(mark(X))) mark(zeros()) -> active(zeros()) mark(cons(X1,X2)) -> active(cons(X1,X2)) mark(0()) -> active(0()) mark(incr(X)) -> active(incr(mark(X))) mark(s(X)) -> active(s(X)) mark(hd(X)) -> active(hd(mark(X))) mark(tl(X)) -> active(tl(mark(X))) adx(mark(X)) -> adx(X) adx(active(X)) -> adx(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) incr(mark(X)) -> incr(X) incr(active(X)) -> incr(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) hd(mark(X)) -> hd(X) hd(active(X)) -> hd(X) tl(mark(X)) -> tl(X) tl(active(X)) -> tl(X) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [mark](x0) = [0 0 0]x0 [0 0 1] , [1 0 0] [0] [s](x0) = [0 0 0]x0 + [1] [0 0 0] [0], [1 0 0] [active](x0) = [0 0 0]x0 [0 0 1] , [1 0 0] [adx](x0) = [0 0 1]x0 [0 0 0] , [0] [0] = [0] [0], [1 0 0] [0] [tl](x0) = [0 0 0]x0 + [0] [0 0 1] [1], [1] [nats] = [0] [0], [1 0 0] [incr](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [hd](x0) = [0 0 0]x0 [0 0 1] , [1 0 0] [1 0 0] [cons](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 1] [0 0 1] , [0] [zeros] = [0] [1] orientation: [1] [0] active(nats()) = [0] >= [0] = mark(adx(zeros())) [0] [0] [0] [0] active(zeros()) = [0] >= [0] = mark(cons(0(),zeros())) [1] [1] [1 0 0] [1 0 0] [1 0 0] [1 0 0] active(incr(cons(X,Y))) = [0 0 0]X + [0 0 0]Y >= [0 0 0]X + [0 0 0]Y = mark(cons(s(X),incr(Y))) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [1 0 0] [1 0 0] [1 0 0] [1 0 0] active(adx(cons(X,Y))) = [0 0 0]X + [0 0 0]Y >= [0 0 0]X + [0 0 0]Y = mark(incr(cons(X,adx(Y)))) [0 0 0] [0 0 0] [0 0 0] [0 0 0] [1 0 0] [1 0 0] [1 0 0] active(hd(cons(X,Y))) = [0 0 0]X + [0 0 0]Y >= [0 0 0]X = mark(X) [0 0 1] [0 0 1] [0 0 1]
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