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TRS Standard pair #487070307
details
property
value
status
complete
benchmark
ExIntrod_GM04_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n189.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
3.84794 seconds
cpu usage
13.7067
user time
11.9409
system time
1.76583
max virtual memory
2035756.0
max residence set size
135364.0
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) active(adx(X)) -> adx(active(X)) active(incr(X)) -> incr(active(X)) active(hd(X)) -> hd(active(X)) active(tl(X)) -> tl(active(X)) adx(mark(X)) -> mark(adx(X)) incr(mark(X)) -> mark(incr(X)) hd(mark(X)) -> mark(hd(X)) tl(mark(X)) -> mark(tl(X)) proper(nats()) -> ok(nats()) proper(adx(X)) -> adx(proper(X)) proper(zeros()) -> ok(zeros()) proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) proper(0()) -> ok(0()) proper(incr(X)) -> incr(proper(X)) proper(s(X)) -> s(proper(X)) proper(hd(X)) -> hd(proper(X)) proper(tl(X)) -> tl(proper(X)) adx(ok(X)) -> ok(adx(X)) cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) incr(ok(X)) -> ok(incr(X)) s(ok(X)) -> ok(s(X)) hd(ok(X)) -> ok(hd(X)) tl(ok(X)) -> ok(tl(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) Proof: Matrix Interpretation Processor: dim=3 interpretation: [1 0 0] [mark](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [0] [s](x0) = [0 0 0]x0 + [0] [0 0 0] [1], [1 0 0] [active](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [adx](x0) = [0 0 0]x0 [0 0 0] , [0] [0] = [0] [0], [1 0 0] [1] [tl](x0) = [0 0 0]x0 + [0] [0 0 1] [0], [0] [nats] = [0] [0], [1 0 0] [incr](x0) = [0 0 0]x0 [0 0 0] , [1 0 0] [ok](x0) = [0 1 0]x0 [0 0 0] , [1 0 0] [proper](x0) = [0 0 0]x0 [0 0 1] , [1 0 0] [hd](x0) = [0 0 0]x0 [0 0 0] , [1 1 0] [top](x0) = [0 1 0]x0 [0 0 0] , [1 0 0] [1 0 0] [cons](x0, x1) = [0 0 0]x0 + [0 0 0]x1 [0 0 0] [0 0 1] , [0] [zeros] = [0] [1] orientation: [0] [0] active(nats()) = [0] >= [0] = mark(adx(zeros())) [0] [0] [0] [0]
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