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Runti Compl Full Rewri 10127 pair #381903762
details
property
value
status
complete
benchmark
ExIntrod_GM01_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n047.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
5.87708902359 seconds
cpu usage
26.981776591
max memory
2.15994368E8
stage attributes
key
value
output-size
24181
starexec-result
WORST_CASE(Omega(n^1),O(n^1))
output
/export/starexec/sandbox/solver/bin/starexec_run_tct_rc /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(Omega(n^1),O(n^1)) * Step 1: Sum WORST_CASE(Omega(n^1),O(n^1)) + Considered Problem: - Strict TRS: active(adx(X)) -> adx(active(X)) active(adx(cons(X,L))) -> mark(incr(cons(X,adx(L)))) active(adx(nil())) -> mark(nil()) active(cons(X1,X2)) -> cons(active(X1),X2) active(head(X)) -> head(active(X)) active(head(cons(X,L))) -> mark(X) active(incr(X)) -> incr(active(X)) active(incr(cons(X,L))) -> mark(cons(s(X),incr(L))) active(incr(nil())) -> mark(nil()) active(nats()) -> mark(adx(zeros())) active(s(X)) -> s(active(X)) active(tail(X)) -> tail(active(X)) active(tail(cons(X,L))) -> mark(L) active(zeros()) -> mark(cons(0(),zeros())) adx(mark(X)) -> mark(adx(X)) adx(ok(X)) -> ok(adx(X)) cons(mark(X1),X2) -> mark(cons(X1,X2)) cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) head(mark(X)) -> mark(head(X)) head(ok(X)) -> ok(head(X)) incr(mark(X)) -> mark(incr(X)) incr(ok(X)) -> ok(incr(X)) proper(0()) -> ok(0()) proper(adx(X)) -> adx(proper(X)) proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) proper(head(X)) -> head(proper(X)) proper(incr(X)) -> incr(proper(X)) proper(nats()) -> ok(nats()) proper(nil()) -> ok(nil()) proper(s(X)) -> s(proper(X)) proper(tail(X)) -> tail(proper(X)) proper(zeros()) -> ok(zeros()) s(mark(X)) -> mark(s(X)) s(ok(X)) -> ok(s(X)) tail(mark(X)) -> mark(tail(X)) tail(ok(X)) -> ok(tail(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) - Signature: {active/1,adx/1,cons/2,head/1,incr/1,proper/1,s/1,tail/1,top/1} / {0/0,mark/1,nats/0,nil/0,ok/1,zeros/0} - Obligation: runtime complexity wrt. defined symbols {active,adx,cons,head,incr,proper,s,tail,top} and constructors {0 ,mark,nats,nil,ok,zeros} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () ** Step 1.a:1: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: active(adx(X)) -> adx(active(X)) active(adx(cons(X,L))) -> mark(incr(cons(X,adx(L)))) active(adx(nil())) -> mark(nil()) active(cons(X1,X2)) -> cons(active(X1),X2) active(head(X)) -> head(active(X)) active(head(cons(X,L))) -> mark(X) active(incr(X)) -> incr(active(X)) active(incr(cons(X,L))) -> mark(cons(s(X),incr(L))) active(incr(nil())) -> mark(nil()) active(nats()) -> mark(adx(zeros())) active(s(X)) -> s(active(X)) active(tail(X)) -> tail(active(X)) active(tail(cons(X,L))) -> mark(L) active(zeros()) -> mark(cons(0(),zeros())) adx(mark(X)) -> mark(adx(X)) adx(ok(X)) -> ok(adx(X)) cons(mark(X1),X2) -> mark(cons(X1,X2)) cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) head(mark(X)) -> mark(head(X)) head(ok(X)) -> ok(head(X)) incr(mark(X)) -> mark(incr(X)) incr(ok(X)) -> ok(incr(X)) proper(0()) -> ok(0()) proper(adx(X)) -> adx(proper(X)) proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) proper(head(X)) -> head(proper(X)) proper(incr(X)) -> incr(proper(X)) proper(nats()) -> ok(nats()) proper(nil()) -> ok(nil()) proper(s(X)) -> s(proper(X)) proper(tail(X)) -> tail(proper(X)) proper(zeros()) -> ok(zeros()) s(mark(X)) -> mark(s(X)) s(ok(X)) -> ok(s(X)) tail(mark(X)) -> mark(tail(X)) tail(ok(X)) -> ok(tail(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) - Signature: {active/1,adx/1,cons/2,head/1,incr/1,proper/1,s/1,tail/1,top/1} / {0/0,mark/1,nats/0,nil/0,ok/1,zeros/0}
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