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Runti Compl Full Rewri 10127 pair #381903092
details
property
value
status
complete
benchmark
#3.33.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n077.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
tct 2018-07-13
configuration
tct_rc
runtime (wallclock)
0.0155410766602 seconds
cpu usage
0.020812123
max memory
3305472.0
stage attributes
key
value
output-size
4400
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: p(f(f(x))) -> q(f(g(x))) p(g(g(x))) -> q(g(f(x))) q(f(f(x))) -> p(f(g(x))) q(g(g(x))) -> p(g(f(x))) - Signature: {p/1,q/1} / {f/1,g/1} - Obligation: runtime complexity wrt. defined symbols {p,q} and constructors {f,g} + Applied Processor: Sum {left = someStrategy, right = someStrategy} + Details: () * Step 2: ToInnermost WORST_CASE(?,O(1)) + Considered Problem: - Strict TRS: p(f(f(x))) -> q(f(g(x))) p(g(g(x))) -> q(g(f(x))) q(f(f(x))) -> p(f(g(x))) q(g(g(x))) -> p(g(f(x))) - Signature: {p/1,q/1} / {f/1,g/1} - Obligation: runtime complexity wrt. defined symbols {p,q} and constructors {f,g} + 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: p(f(f(x))) -> q(f(g(x))) p(g(g(x))) -> q(g(f(x))) q(f(f(x))) -> p(f(g(x))) q(g(g(x))) -> p(g(f(x))) - Signature: {p/1,q/1} / {f/1,g/1} - Obligation: innermost runtime complexity wrt. defined symbols {p,q} and constructors {f,g} + Applied Processor: DependencyPairs {dpKind_ = DT} + Details: We add the following dependency tuples: Strict DPs p#(f(f(x))) -> c_1(q#(f(g(x)))) p#(g(g(x))) -> c_2(q#(g(f(x)))) q#(f(f(x))) -> c_3(p#(f(g(x)))) q#(g(g(x))) -> c_4(p#(g(f(x)))) Weak DPs and mark the set of starting terms. * Step 4: UsableRules WORST_CASE(?,O(1)) + Considered Problem: - Strict DPs: p#(f(f(x))) -> c_1(q#(f(g(x)))) p#(g(g(x))) -> c_2(q#(g(f(x)))) q#(f(f(x))) -> c_3(p#(f(g(x)))) q#(g(g(x))) -> c_4(p#(g(f(x)))) - Weak TRS: p(f(f(x))) -> q(f(g(x))) p(g(g(x))) -> q(g(f(x))) q(f(f(x))) -> p(f(g(x))) q(g(g(x))) -> p(g(f(x))) - Signature: {p/1,q/1,p#/1,q#/1} / {f/1,g/1,c_1/1,c_2/1,c_3/1,c_4/1} - Obligation: innermost runtime complexity wrt. defined symbols {p#,q#} and constructors {f,g} + Applied Processor: UsableRules + Details: We replace rewrite rules by usable rules: p#(f(f(x))) -> c_1(q#(f(g(x)))) p#(g(g(x))) -> c_2(q#(g(f(x)))) q#(f(f(x))) -> c_3(p#(f(g(x)))) q#(g(g(x))) -> c_4(p#(g(f(x)))) * Step 5: Trivial WORST_CASE(?,O(1)) + Considered Problem: - Strict DPs: p#(f(f(x))) -> c_1(q#(f(g(x)))) p#(g(g(x))) -> c_2(q#(g(f(x)))) q#(f(f(x))) -> c_3(p#(f(g(x)))) q#(g(g(x))) -> c_4(p#(g(f(x)))) - Signature: {p/1,q/1,p#/1,q#/1} / {f/1,g/1,c_1/1,c_2/1,c_3/1,c_4/1} - Obligation: innermost runtime complexity wrt. defined symbols {p#,q#} and constructors {f,g} + Applied Processor: Trivial + Details:
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