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Runti Compl Full Rewri 10127 pair #381902353
details
property
value
status
complete
benchmark
#4.37.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n071.star.cs.uiowa.edu
space
Strategy_removed_AG01
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
0.0173809528351 seconds
cpu usage
0.01845215
max memory
3575808.0
stage attributes
key
value
output-size
3125
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: f(c(s(x),y)) -> f(c(x,s(y))) g(c(x,s(y))) -> g(c(s(x),y)) - Signature: {f/1,g/1} / {c/2,s/1} - Obligation: runtime complexity wrt. defined symbols {f,g} and constructors {c,s} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () ** Step 1.a:1: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: f(c(s(x),y)) -> f(c(x,s(y))) g(c(x,s(y))) -> g(c(s(x),y)) - Signature: {f/1,g/1} / {c/2,s/1} - Obligation: runtime complexity wrt. defined symbols {f,g} and constructors {c,s} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: f(c(x,y)){x -> s(x)} = f(c(s(x),y)) ->^+ f(c(x,s(y))) = C[f(c(x,s(y))) = f(c(x,y)){y -> s(y)}] ** Step 1.b:1: ToInnermost WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: f(c(s(x),y)) -> f(c(x,s(y))) g(c(x,s(y))) -> g(c(s(x),y)) - Signature: {f/1,g/1} / {c/2,s/1} - Obligation: runtime complexity wrt. defined symbols {f,g} and constructors {c,s} + Applied Processor: ToInnermost + Details: switch to innermost, as the system is overlay and right linear and does not contain weak rules ** Step 1.b:2: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: f(c(s(x),y)) -> f(c(x,s(y))) g(c(x,s(y))) -> g(c(s(x),y)) - Signature: {f/1,g/1} / {c/2,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f,g} and constructors {c,s} + Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 1. The enriched problem is compatible with follwoing automaton. c_0(2,2) -> 2 c_1(2,4) -> 3 c_1(4,2) -> 5 f_0(2) -> 1 f_1(3) -> 1 g_0(2) -> 1 g_1(5) -> 1 s_0(2) -> 2 s_1(2) -> 4 s_1(4) -> 4 ** Step 1.b:3: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: f(c(s(x),y)) -> f(c(x,s(y))) g(c(x,s(y))) -> g(c(s(x),y)) - Signature: {f/1,g/1} / {c/2,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f,g} and constructors {c,s} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(Omega(n^1),O(n^1))
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