Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Stand 20472 pair #381713325
details
property
value
status
complete
benchmark
#4.34.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
Strategy_removed_AG01
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0676879882812 seconds
cpu usage
0.065733458
max memory
4071424.0
stage attributes
key
value
output-size
4757
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 y) (RULES f(0) -> true f(1) -> false f(s(x)) -> f(x) g(s(x),s(y)) -> if(f(x),s(x),s(y)) g(x,c(y)) -> g(x,g(s(c(y)),y)) if(false,x,y) -> y if(true,x,y) -> x ) Problem 1: Innermost Equivalent Processor: -> Rules: f(0) -> true f(1) -> false f(s(x)) -> f(x) g(s(x),s(y)) -> if(f(x),s(x),s(y)) g(x,c(y)) -> g(x,g(s(c(y)),y)) if(false,x,y) -> y if(true,x,y) -> x -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: F(s(x)) -> F(x) G(s(x),s(y)) -> F(x) G(s(x),s(y)) -> IF(f(x),s(x),s(y)) G(x,c(y)) -> G(s(c(y)),y) G(x,c(y)) -> G(x,g(s(c(y)),y)) -> Rules: f(0) -> true f(1) -> false f(s(x)) -> f(x) g(s(x),s(y)) -> if(f(x),s(x),s(y)) g(x,c(y)) -> g(x,g(s(c(y)),y)) if(false,x,y) -> y if(true,x,y) -> x Problem 1: SCC Processor: -> Pairs: F(s(x)) -> F(x) G(s(x),s(y)) -> F(x) G(s(x),s(y)) -> IF(f(x),s(x),s(y)) G(x,c(y)) -> G(s(c(y)),y) G(x,c(y)) -> G(x,g(s(c(y)),y)) -> Rules: f(0) -> true f(1) -> false f(s(x)) -> f(x) g(s(x),s(y)) -> if(f(x),s(x),s(y)) g(x,c(y)) -> g(x,g(s(c(y)),y)) if(false,x,y) -> y if(true,x,y) -> x ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(s(x)) -> F(x) ->->-> Rules: f(0) -> true f(1) -> false f(s(x)) -> f(x) g(s(x),s(y)) -> if(f(x),s(x),s(y)) g(x,c(y)) -> g(x,g(s(c(y)),y)) if(false,x,y) -> y if(true,x,y) -> x ->->Cycle: ->->-> Pairs: G(x,c(y)) -> G(s(c(y)),y) G(x,c(y)) -> G(x,g(s(c(y)),y)) ->->-> Rules: f(0) -> true f(1) -> false f(s(x)) -> f(x) g(s(x),s(y)) -> if(f(x),s(x),s(y)) g(x,c(y)) -> g(x,g(s(c(y)),y)) if(false,x,y) -> y if(true,x,y) -> x The problem is decomposed in 2 subproblems. Problem 1.1:
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Stand 20472