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TRS Stand 20472 pair #381711423
details
property
value
status
complete
benchmark
LPAR_intlist.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n047.star.cs.uiowa.edu
space
AProVE_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0179250240326 seconds
cpu usage
0.014461084
max memory
1654784.0
stage attributes
key
value
output-size
3532
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 int(0,s(y)) -> cons(0,int(s(0),s(y))) int(s(x),0) -> nil int(s(x),s(y)) -> intlist(int(x,y)) int(x,x) -> cons(x,nil) intlist(cons(x,nil)) -> cons(s(x),nil) intlist(cons(x,y)) -> cons(s(x),intlist(y)) intlist(nil) -> nil ) Problem 1: Dependency Pairs Processor: -> Pairs: INT(0,s(y)) -> INT(s(0),s(y)) INT(s(x),s(y)) -> INT(x,y) INT(s(x),s(y)) -> INTLIST(int(x,y)) INTLIST(cons(x,y)) -> INTLIST(y) -> Rules: int(0,s(y)) -> cons(0,int(s(0),s(y))) int(s(x),0) -> nil int(s(x),s(y)) -> intlist(int(x,y)) int(x,x) -> cons(x,nil) intlist(cons(x,nil)) -> cons(s(x),nil) intlist(cons(x,y)) -> cons(s(x),intlist(y)) intlist(nil) -> nil Problem 1: SCC Processor: -> Pairs: INT(0,s(y)) -> INT(s(0),s(y)) INT(s(x),s(y)) -> INT(x,y) INT(s(x),s(y)) -> INTLIST(int(x,y)) INTLIST(cons(x,y)) -> INTLIST(y) -> Rules: int(0,s(y)) -> cons(0,int(s(0),s(y))) int(s(x),0) -> nil int(s(x),s(y)) -> intlist(int(x,y)) int(x,x) -> cons(x,nil) intlist(cons(x,nil)) -> cons(s(x),nil) intlist(cons(x,y)) -> cons(s(x),intlist(y)) intlist(nil) -> nil ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: INTLIST(cons(x,y)) -> INTLIST(y) ->->-> Rules: int(0,s(y)) -> cons(0,int(s(0),s(y))) int(s(x),0) -> nil int(s(x),s(y)) -> intlist(int(x,y)) int(x,x) -> cons(x,nil) intlist(cons(x,nil)) -> cons(s(x),nil) intlist(cons(x,y)) -> cons(s(x),intlist(y)) intlist(nil) -> nil ->->Cycle: ->->-> Pairs: INT(0,s(y)) -> INT(s(0),s(y)) INT(s(x),s(y)) -> INT(x,y) ->->-> Rules: int(0,s(y)) -> cons(0,int(s(0),s(y))) int(s(x),0) -> nil int(s(x),s(y)) -> intlist(int(x,y)) int(x,x) -> cons(x,nil) intlist(cons(x,nil)) -> cons(s(x),nil) intlist(cons(x,y)) -> cons(s(x),intlist(y)) intlist(nil) -> nil The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor: -> Pairs: INTLIST(cons(x,y)) -> INTLIST(y) -> Rules: int(0,s(y)) -> cons(0,int(s(0),s(y))) int(s(x),0) -> nil int(s(x),s(y)) -> intlist(int(x,y)) int(x,x) -> cons(x,nil) intlist(cons(x,nil)) -> cons(s(x),nil) intlist(cons(x,y)) -> cons(s(x),intlist(y)) intlist(nil) -> nil ->Projection: pi(INTLIST) = 1 Problem 1.1:
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