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Runti Compl Full Rewri 10127 pair #381902778
details
property
value
status
complete
benchmark
mfp95.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n037.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
0.0200819969177 seconds
cpu usage
0.024300251
max memory
2621440.0
stage attributes
key
value
output-size
3125
starexec-result
WORST_CASE(?,O(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(?,O(1)) * Step 1: Sum WORST_CASE(?,O(1)) + Considered Problem: - Strict TRS: f(s(X),Y) -> h(s(f(h(Y),X))) - Signature: {f/2} / {h/1,s/1} - Obligation: runtime complexity wrt. defined symbols {f} and constructors {h,s} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: ToInnermost WORST_CASE(?,O(1)) + Considered Problem: - Strict TRS: f(s(X),Y) -> h(s(f(h(Y),X))) - Signature: {f/2} / {h/1,s/1} - Obligation: runtime complexity wrt. defined symbols {f} and constructors {h,s} + Applied Processor: ToInnermost + Details: switch to innermost, as the system is overlay and right linear and does not contain weak rules * Step 3: DependencyPairs WORST_CASE(?,O(1)) + Considered Problem: - Strict TRS: f(s(X),Y) -> h(s(f(h(Y),X))) - Signature: {f/2} / {h/1,s/1} - Obligation: innermost runtime complexity wrt. defined symbols {f} and constructors {h,s} + Applied Processor: DependencyPairs {dpKind_ = DT} + Details: We add the following dependency tuples: Strict DPs f#(s(X),Y) -> c_1(f#(h(Y),X)) Weak DPs and mark the set of starting terms. * Step 4: UsableRules WORST_CASE(?,O(1)) + Considered Problem: - Strict DPs: f#(s(X),Y) -> c_1(f#(h(Y),X)) - Weak TRS: f(s(X),Y) -> h(s(f(h(Y),X))) - Signature: {f/2,f#/2} / {h/1,s/1,c_1/1} - Obligation: innermost runtime complexity wrt. defined symbols {f#} and constructors {h,s} + Applied Processor: UsableRules + Details: We replace rewrite rules by usable rules: f#(s(X),Y) -> c_1(f#(h(Y),X)) * Step 5: Trivial WORST_CASE(?,O(1)) + Considered Problem: - Strict DPs: f#(s(X),Y) -> c_1(f#(h(Y),X)) - Signature: {f/2,f#/2} / {h/1,s/1,c_1/1} - Obligation: innermost runtime complexity wrt. defined symbols {f#} and constructors {h,s} + Applied Processor: Trivial + Details: Consider the dependency graph 1:S:f#(s(X),Y) -> c_1(f#(h(Y),X)) The dependency graph contains no loops, we remove all dependency pairs. * Step 6: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Signature: {f/2,f#/2} / {h/1,s/1,c_1/1} - Obligation: innermost runtime complexity wrt. defined symbols {f#} and constructors {h,s} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(1))
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