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Runti Compl Full Rewri 10127 pair #381902622
details
property
value
status
complete
benchmark
ExConc_Zan97_C.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
Transformed_CSR_04
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
0.196334123611 seconds
cpu usage
1.000439317
max memory
4.8074752E7
stage attributes
key
value
output-size
4709
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(f(X)) -> f(active(X)) active(f(X)) -> mark(g(h(f(X)))) active(h(X)) -> h(active(X)) f(mark(X)) -> mark(f(X)) f(ok(X)) -> ok(f(X)) g(ok(X)) -> ok(g(X)) h(mark(X)) -> mark(h(X)) h(ok(X)) -> ok(h(X)) proper(f(X)) -> f(proper(X)) proper(g(X)) -> g(proper(X)) proper(h(X)) -> h(proper(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) - Signature: {active/1,f/1,g/1,h/1,proper/1,top/1} / {mark/1,ok/1} - Obligation: runtime complexity wrt. defined symbols {active,f,g,h,proper,top} and constructors {mark,ok} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () ** Step 1.a:1: DecreasingLoops WORST_CASE(Omega(n^1),?) + Considered Problem: - Strict TRS: active(f(X)) -> f(active(X)) active(f(X)) -> mark(g(h(f(X)))) active(h(X)) -> h(active(X)) f(mark(X)) -> mark(f(X)) f(ok(X)) -> ok(f(X)) g(ok(X)) -> ok(g(X)) h(mark(X)) -> mark(h(X)) h(ok(X)) -> ok(h(X)) proper(f(X)) -> f(proper(X)) proper(g(X)) -> g(proper(X)) proper(h(X)) -> h(proper(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) - Signature: {active/1,f/1,g/1,h/1,proper/1,top/1} / {mark/1,ok/1} - Obligation: runtime complexity wrt. defined symbols {active,f,g,h,proper,top} and constructors {mark,ok} + Applied Processor: DecreasingLoops {bound = AnyLoop, narrow = 10} + Details: The system has following decreasing Loops: f(x){x -> mark(x)} = f(mark(x)) ->^+ mark(f(x)) = C[f(x) = f(x){}] ** Step 1.b:1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: active(f(X)) -> f(active(X)) active(f(X)) -> mark(g(h(f(X)))) active(h(X)) -> h(active(X)) f(mark(X)) -> mark(f(X)) f(ok(X)) -> ok(f(X)) g(ok(X)) -> ok(g(X)) h(mark(X)) -> mark(h(X)) h(ok(X)) -> ok(h(X)) proper(f(X)) -> f(proper(X)) proper(g(X)) -> g(proper(X)) proper(h(X)) -> h(proper(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) - Signature: {active/1,f/1,g/1,h/1,proper/1,top/1} / {mark/1,ok/1} - Obligation: runtime complexity wrt. defined symbols {active,f,g,h,proper,top} and constructors {mark,ok} + Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 1. The enriched problem is compatible with follwoing automaton. active_0(2) -> 1 active_1(2) -> 4 f_0(2) -> 1 f_1(2) -> 3 g_0(2) -> 1 g_1(2) -> 3 h_0(2) -> 1 h_1(2) -> 3 mark_0(2) -> 2 mark_1(3) -> 1 mark_1(3) -> 3 ok_0(2) -> 2 ok_1(3) -> 1 ok_1(3) -> 3 proper_0(2) -> 1 proper_1(2) -> 4
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