TRS Standard pair #487068007

details

property	value
status	complete
benchmark	4.05.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n173.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	0.463477 seconds
cpu usage	0.74578
user time	0.541076
system time	0.204704
max virtual memory	96176.0
max residence set size	60428.0

stage attributes

key	value
starexec-result	YES

output

YES

Problem:
 *(x,+(y,z)) -> +(*(x,y),*(x,z))
 *(+(x,y),z) -> +(*(x,z),*(y,z))
 *(x,1()) -> x
 *(1(),y) -> y

Proof:
 DP Processor:
  DPs:
   *#(x,+(y,z)) -> *#(x,z)
   *#(x,+(y,z)) -> *#(x,y)
   *#(+(x,y),z) -> *#(y,z)
   *#(+(x,y),z) -> *#(x,z)
  TRS:
   *(x,+(y,z)) -> +(*(x,y),*(x,z))
   *(+(x,y),z) -> +(*(x,z),*(y,z))
   *(x,1()) -> x
   *(1(),y) -> y
  Subterm Criterion Processor:
   simple projection:
    pi(*#) = 0
   problem:
    DPs:
     *#(x,+(y,z)) -> *#(x,z)
     *#(x,+(y,z)) -> *#(x,y)
    TRS:
     *(x,+(y,z)) -> +(*(x,y),*(x,z))
     *(+(x,y),z) -> +(*(x,z),*(y,z))
     *(x,1()) -> x
     *(1(),y) -> y
   Subterm Criterion Processor:
    simple projection:
     pi(*#) = 1
    problem:
     DPs:
      
     TRS:
      *(x,+(y,z)) -> +(*(x,y),*(x,z))
      *(+(x,y),z) -> +(*(x,z),*(y,z))
      *(x,1()) -> x
      *(1(),y) -> y
    Qed

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