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TRS Condi 20667 pair #381732996
details
property
value
status
complete
benchmark
ohl206.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n192.star.cs.uiowa.edu
space
Mixed_CTRS_2014
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0161299705505 seconds
cpu usage
0.012719458
max memory
1486848.0
stage attributes
key
value
output-size
2415
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR x y) (RULES f(x,y) -> plus(y,z) | plus(x,y) -> plus(z,z) plus(0,y) -> y plus(s(x),y) -> plus(x,s(y)) ) Problem 1: Valid CTRS Processor: -> Rules: f(x,y) -> plus(y,z) | plus(x,y) -> plus(z,z) plus(0,y) -> y plus(s(x),y) -> plus(x,s(y)) -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: F(x,y) -> PLUS(y,z) | plus(x,y) -> plus(z,z) PLUS(s(x),y) -> PLUS(x,s(y)) -> QPairs: Empty -> Rules: f(x,y) -> plus(y,z) | plus(x,y) -> plus(z,z) plus(0,y) -> y plus(s(x),y) -> plus(x,s(y)) Conditional Termination Problem 2: -> Pairs: F(x,y) -> PLUS(x,y) -> QPairs: F(x,y) -> PLUS(y,z) | plus(x,y) -> plus(z,z) PLUS(s(x),y) -> PLUS(x,s(y)) -> Rules: f(x,y) -> plus(y,z) | plus(x,y) -> plus(z,z) plus(0,y) -> y plus(s(x),y) -> plus(x,s(y)) The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: F(x,y) -> PLUS(y,z) | plus(x,y) -> plus(z,z) PLUS(s(x),y) -> PLUS(x,s(y)) -> QPairs: Empty -> Rules: f(x,y) -> plus(y,z) | plus(x,y) -> plus(z,z) plus(0,y) -> y plus(s(x),y) -> plus(x,s(y)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: PLUS(s(x),y) -> PLUS(x,s(y)) ->->-> Rules: f(x,y) -> plus(y,z) | plus(x,y) -> plus(z,z) plus(0,y) -> y plus(s(x),y) -> plus(x,s(y)) Problem 1.1: Conditional Subterm Processor: -> Pairs: PLUS(s(x),y) -> PLUS(x,s(y)) -> QPairs: Empty -> Rules: f(x,y) -> plus(y,z) | plus(x,y) -> plus(z,z) plus(0,y) -> y plus(s(x),y) -> plus(x,s(y)) ->Projection: pi(PLUS) = 1 Problem 1.1: SCC Processor: -> Pairs: Empty -> QPairs: Empty -> Rules: f(x,y) -> plus(y,z) | plus(x,y) -> plus(z,z) plus(0,y) -> y plus(s(x),y) -> plus(x,s(y))
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