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Runti Compl Full Rewri 10127 pair #381903062
details
property
value
status
complete
benchmark
4.09.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n029.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
0.106509923935 seconds
cpu usage
0.361711827
max memory
1.6293888E7
stage attributes
key
value
output-size
6154
starexec-result
WORST_CASE(?,O(1))
output
/export/starexec/sandbox2/solver/bin/starexec_run_tct_rc /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(1)) * Step 1: Sum WORST_CASE(?,O(1)) + Considered Problem: - Strict TRS: *(x,+(y,z)) -> +(*(x,y),*(x,z)) *(+(x,y),z) -> +(*(x,z),*(y,z)) +(x,0()) -> x +(x,i(x)) -> 0() +(+(x,y),z) -> +(x,+(y,z)) - Signature: {*/2,+/2} / {0/0,i/1} - Obligation: runtime complexity wrt. defined symbols {*,+} and constructors {0,i} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: DependencyPairs WORST_CASE(?,O(1)) + Considered Problem: - Strict TRS: *(x,+(y,z)) -> +(*(x,y),*(x,z)) *(+(x,y),z) -> +(*(x,z),*(y,z)) +(x,0()) -> x +(x,i(x)) -> 0() +(+(x,y),z) -> +(x,+(y,z)) - Signature: {*/2,+/2} / {0/0,i/1} - Obligation: runtime complexity wrt. defined symbols {*,+} and constructors {0,i} + Applied Processor: DependencyPairs {dpKind_ = DT} + Details: We add the following weak dependency pairs: Strict DPs *#(x,+(y,z)) -> c_1(+#(*(x,y),*(x,z))) *#(+(x,y),z) -> c_2(+#(*(x,z),*(y,z))) +#(x,0()) -> c_3(x) +#(x,i(x)) -> c_4() +#(+(x,y),z) -> c_5(+#(x,+(y,z))) Weak DPs and mark the set of starting terms. * Step 3: UsableRules WORST_CASE(?,O(1)) + Considered Problem: - Strict DPs: *#(x,+(y,z)) -> c_1(+#(*(x,y),*(x,z))) *#(+(x,y),z) -> c_2(+#(*(x,z),*(y,z))) +#(x,0()) -> c_3(x) +#(x,i(x)) -> c_4() +#(+(x,y),z) -> c_5(+#(x,+(y,z))) - Strict TRS: *(x,+(y,z)) -> +(*(x,y),*(x,z)) *(+(x,y),z) -> +(*(x,z),*(y,z)) +(x,0()) -> x +(x,i(x)) -> 0() +(+(x,y),z) -> +(x,+(y,z)) - Signature: {*/2,+/2,*#/2,+#/2} / {0/0,i/1,c_1/1,c_2/1,c_3/1,c_4/0,c_5/1} - Obligation: runtime complexity wrt. defined symbols {*#,+#} and constructors {0,i} + Applied Processor: UsableRules + Details: We replace rewrite rules by usable rules: +#(x,0()) -> c_3(x) +#(x,i(x)) -> c_4() * Step 4: PredecessorEstimation WORST_CASE(?,O(1)) + Considered Problem: - Strict DPs: +#(x,0()) -> c_3(x) +#(x,i(x)) -> c_4() - Signature: {*/2,+/2,*#/2,+#/2} / {0/0,i/1,c_1/1,c_2/1,c_3/1,c_4/0,c_5/1} - Obligation: runtime complexity wrt. defined symbols {*#,+#} and constructors {0,i} + Applied Processor: PredecessorEstimation {onSelection = all simple predecessor estimation selector} + Details: We estimate the number of application of {2} by application of Pre({2}) = {1}. Here rules are labelled as follows: 1: +#(x,0()) -> c_3(x) 2: +#(x,i(x)) -> c_4() * Step 5: RemoveWeakSuffixes WORST_CASE(?,O(1)) + Considered Problem: - Strict DPs: +#(x,0()) -> c_3(x) - Weak DPs: +#(x,i(x)) -> c_4() - Signature:
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