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Deriv Compl Full Rewri 33144 pair #381922236
details
property
value
status
complete
benchmark
#3.37.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n050.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_dc
runtime (wallclock)
0.479624032974 seconds
cpu usage
1.790320129
max memory
3.5401728E7
stage attributes
key
value
output-size
2425
starexec-result
WORST_CASE(?,O(n^1))
output
/export/starexec/sandbox/solver/bin/starexec_run_tct_dc /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(n^1)) * Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: evenodd(x,0()) -> not(evenodd(x,s(0()))) evenodd(0(),s(0())) -> false() evenodd(s(x),s(0())) -> evenodd(x,0()) not(false()) -> true() not(true()) -> false() - Signature: {evenodd/2,not/1} / {0/0,false/0,s/1,true/0} - Obligation: derivational complexity wrt. signature {0,evenodd,false,not,s,true} + Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 3. The enriched problem is compatible with follwoing automaton. 0_0() -> 1 0_1() -> 4 0_2() -> 7 evenodd_0(1,1) -> 1 evenodd_1(1,3) -> 2 evenodd_1(1,4) -> 1 evenodd_1(1,4) -> 2 evenodd_1(1,4) -> 5 evenodd_2(1,6) -> 5 false_0() -> 1 false_1() -> 1 false_1() -> 2 false_1() -> 5 false_2() -> 1 false_3() -> 1 false_3() -> 2 false_3() -> 5 not_0(1) -> 1 not_1(2) -> 1 not_2(5) -> 1 not_2(5) -> 2 not_2(5) -> 5 s_0(1) -> 1 s_1(4) -> 3 s_2(7) -> 6 true_0() -> 1 true_1() -> 1 true_2() -> 1 true_2() -> 2 true_2() -> 5 true_3() -> 1 true_3() -> 2 true_3() -> 5 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: evenodd(x,0()) -> not(evenodd(x,s(0()))) evenodd(0(),s(0())) -> false() evenodd(s(x),s(0())) -> evenodd(x,0()) not(false()) -> true() not(true()) -> false() - Signature: {evenodd/2,not/1} / {0/0,false/0,s/1,true/0} - Obligation: derivational complexity wrt. signature {0,evenodd,false,not,s,true} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))
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