TRS Standard pair #487068177

details

property	value
status	complete
benchmark	4.55.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n178.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.473397 seconds
cpu usage	0.78028
user time	0.492454
system time	0.287826
max virtual memory	96176.0
max residence set size	57304.0

stage attributes

key	value
starexec-result	YES

output

YES

Problem:
 f(x,x) -> f(a(),b())
 b() -> c()

Proof:
 DP Processor:
  DPs:
   f#(x,x) -> b#()
   f#(x,x) -> f#(a(),b())
  TRS:
   f(x,x) -> f(a(),b())
   b() -> c()
  TDG Processor:
   DPs:
    f#(x,x) -> b#()
    f#(x,x) -> f#(a(),b())
   TRS:
    f(x,x) -> f(a(),b())
    b() -> c()
   graph:
    f#(x,x) -> f#(a(),b()) -> f#(x,x) -> f#(a(),b())
    f#(x,x) -> f#(a(),b()) -> f#(x,x) -> b#()
   SCC Processor:
    #sccs: 1
    #rules: 1
    #arcs: 2/4
    DPs:
     f#(x,x) -> f#(a(),b())
    TRS:
     f(x,x) -> f(a(),b())
     b() -> c()
    Bounds Processor:
     bound: 0
     enrichment: match-dp
     automaton:
      final states: {1}
      transitions:
       f{#,0}(3,2) -> 1*
       a0() -> 3*
       c0() -> 2*
       b0() -> 2*
     problem:
      DPs:
       
      TRS:
       f(x,x) -> f(a(),b())
       b() -> c()
     Qed

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