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TRS Stand 20472 pair #381714041
details
property
value
status
complete
benchmark
#3.37.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n082.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0177419185638 seconds
cpu usage
0.013388649
max memory
1384448.0
stage attributes
key
value
output-size
2245
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR x) (RULES evenodd(0,s(0)) -> false evenodd(s(x),s(0)) -> evenodd(x,0) evenodd(x,0) -> not(evenodd(x,s(0))) not(false) -> true not(true) -> false ) Problem 1: Innermost Equivalent Processor: -> Rules: evenodd(0,s(0)) -> false evenodd(s(x),s(0)) -> evenodd(x,0) evenodd(x,0) -> not(evenodd(x,s(0))) not(false) -> true not(true) -> false -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: EVENODD(s(x),s(0)) -> EVENODD(x,0) EVENODD(x,0) -> EVENODD(x,s(0)) EVENODD(x,0) -> NOT(evenodd(x,s(0))) -> Rules: evenodd(0,s(0)) -> false evenodd(s(x),s(0)) -> evenodd(x,0) evenodd(x,0) -> not(evenodd(x,s(0))) not(false) -> true not(true) -> false Problem 1: SCC Processor: -> Pairs: EVENODD(s(x),s(0)) -> EVENODD(x,0) EVENODD(x,0) -> EVENODD(x,s(0)) EVENODD(x,0) -> NOT(evenodd(x,s(0))) -> Rules: evenodd(0,s(0)) -> false evenodd(s(x),s(0)) -> evenodd(x,0) evenodd(x,0) -> not(evenodd(x,s(0))) not(false) -> true not(true) -> false ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: EVENODD(s(x),s(0)) -> EVENODD(x,0) EVENODD(x,0) -> EVENODD(x,s(0)) ->->-> Rules: evenodd(0,s(0)) -> false evenodd(s(x),s(0)) -> evenodd(x,0) evenodd(x,0) -> not(evenodd(x,s(0))) not(false) -> true not(true) -> false Problem 1: Subterm Processor: -> Pairs: EVENODD(s(x),s(0)) -> EVENODD(x,0) EVENODD(x,0) -> EVENODD(x,s(0)) -> Rules: evenodd(0,s(0)) -> false evenodd(s(x),s(0)) -> evenodd(x,0) evenodd(x,0) -> not(evenodd(x,s(0))) not(false) -> true not(true) -> false ->Projection: pi(EVENODD) = 1 Problem 1: SCC Processor: -> Pairs: EVENODD(x,0) -> EVENODD(x,s(0)) -> Rules: evenodd(0,s(0)) -> false evenodd(s(x),s(0)) -> evenodd(x,0) evenodd(x,0) -> not(evenodd(x,s(0))) not(false) -> true not(true) -> false ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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