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Deriv Compl Full Rewri 33144 pair #381921932
details
property
value
status
complete
benchmark
lindau.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n035.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_dc
runtime (wallclock)
1.62782812119 seconds
cpu usage
4.55405258
max memory
6.0551168E7
stage attributes
key
value
output-size
2040
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: a(X) -> e() b(X) -> e() c(X) -> e() c(b(a(X))) -> a(a(b(b(c(c(X)))))) - Signature: {a/1,b/1,c/1} / {e/0} - Obligation: derivational complexity wrt. signature {a,b,c,e} + Applied Processor: Bounds {initialAutomaton = perSymbol, enrichment = match} + Details: The problem is match-bounded by 2. The enriched problem is compatible with follwoing automaton. a_0(1) -> 1 a_0(2) -> 1 a_0(3) -> 1 a_0(4) -> 1 a_1(5) -> 3 a_1(5) -> 9 a_1(6) -> 5 b_0(1) -> 2 b_0(2) -> 2 b_0(3) -> 2 b_0(4) -> 2 b_1(7) -> 6 b_1(8) -> 7 c_0(1) -> 3 c_0(2) -> 3 c_0(3) -> 3 c_0(4) -> 3 c_1(1) -> 9 c_1(2) -> 9 c_1(3) -> 9 c_1(4) -> 9 c_1(5) -> 9 c_1(9) -> 8 e_0() -> 4 e_1() -> 1 e_1() -> 2 e_1() -> 3 e_2() -> 3 e_2() -> 5 e_2() -> 6 e_2() -> 7 e_2() -> 8 e_2() -> 9 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: a(X) -> e() b(X) -> e() c(X) -> e() c(b(a(X))) -> a(a(b(b(c(c(X)))))) - Signature: {a/1,b/1,c/1} / {e/0} - Obligation: derivational complexity wrt. signature {a,b,c,e} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))
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