TRS Stand 20472 pair #381714701

details

property	value
status	complete
benchmark	4.22.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n033.star.cs.uiowa.edu
space	SK90

run statistics

property	value
solver	ttt2-1.17+nonreach
configuration	ttt2-1.17+nonreach
runtime (wallclock)	0.535953044891 seconds
cpu usage	0.884137343
max memory	1.55435008E8

stage attributes

key	value
output-size	3827
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

Problem:
 not(and(x,y)) -> or(not(x),not(y))
 not(or(x,y)) -> and(not(x),not(y))
 and(x,or(y,z)) -> or(and(x,y),and(x,z))

Proof:
 DP Processor:
  DPs:
   not#(and(x,y)) -> not#(y)
   not#(and(x,y)) -> not#(x)
   not#(or(x,y)) -> not#(y)
   not#(or(x,y)) -> not#(x)
   not#(or(x,y)) -> and#(not(x),not(y))
   and#(x,or(y,z)) -> and#(x,z)
   and#(x,or(y,z)) -> and#(x,y)
  TRS:
   not(and(x,y)) -> or(not(x),not(y))
   not(or(x,y)) -> and(not(x),not(y))
   and(x,or(y,z)) -> or(and(x,y),and(x,z))
  TDG Processor:
   DPs:
    not#(and(x,y)) -> not#(y)
    not#(and(x,y)) -> not#(x)
    not#(or(x,y)) -> not#(y)
    not#(or(x,y)) -> not#(x)
    not#(or(x,y)) -> and#(not(x),not(y))
    and#(x,or(y,z)) -> and#(x,z)
    and#(x,or(y,z)) -> and#(x,y)
   TRS:
    not(and(x,y)) -> or(not(x),not(y))
    not(or(x,y)) -> and(not(x),not(y))
    and(x,or(y,z)) -> or(and(x,y),and(x,z))
   graph:
    and#(x,or(y,z)) -> and#(x,z) -> and#(x,or(y,z)) -> and#(x,y)
    and#(x,or(y,z)) -> and#(x,z) -> and#(x,or(y,z)) -> and#(x,z)
    and#(x,or(y,z)) -> and#(x,y) -> and#(x,or(y,z)) -> and#(x,y)
    and#(x,or(y,z)) -> and#(x,y) ->
    and#(x,or(y,z)) -> and#(x,z)
    not#(or(x,y)) -> and#(not(x),not(y)) ->
    and#(x,or(y,z)) -> and#(x,y)
    not#(or(x,y)) -> and#(not(x),not(y)) -> and#(x,or(y,z)) -> and#(x,z)
    not#(or(x,y)) -> not#(y) -> not#(or(x,y)) -> and#(not(x),not(y))
    not#(or(x,y)) -> not#(y) -> not#(or(x,y)) -> not#(x)
    not#(or(x,y)) -> not#(y) -> not#(or(x,y)) -> not#(y)
    not#(or(x,y)) -> not#(y) -> not#(and(x,y)) -> not#(x)
    not#(or(x,y)) -> not#(y) -> not#(and(x,y)) -> not#(y)
    not#(or(x,y)) -> not#(x) -> not#(or(x,y)) -> and#(not(x),not(y))
    not#(or(x,y)) -> not#(x) -> not#(or(x,y)) -> not#(x)
    not#(or(x,y)) -> not#(x) -> not#(or(x,y)) -> not#(y)
    not#(or(x,y)) -> not#(x) -> not#(and(x,y)) -> not#(x)
    not#(or(x,y)) -> not#(x) -> not#(and(x,y)) -> not#(y)
    not#(and(x,y)) -> not#(y) -> not#(or(x,y)) -> and#(not(x),not(y))
    not#(and(x,y)) -> not#(y) -> not#(or(x,y)) -> not#(x)
    not#(and(x,y)) -> not#(y) -> not#(or(x,y)) -> not#(y)
    not#(and(x,y)) -> not#(y) -> not#(and(x,y)) -> not#(x)
    not#(and(x,y)) -> not#(y) -> not#(and(x,y)) -> not#(y)
    not#(and(x,y)) -> not#(x) -> not#(or(x,y)) -> and#(not(x),not(y))
    not#(and(x,y)) -> not#(x) -> not#(or(x,y)) -> not#(x)
    not#(and(x,y)) -> not#(x) -> not#(or(x,y)) -> not#(y)
    not#(and(x,y)) -> not#(x) -> not#(and(x,y)) -> not#(x)
    not#(and(x,y)) -> not#(x) -> not#(and(x,y)) -> not#(y)
   SCC Processor:
    #sccs: 2
    #rules: 6
    #arcs: 26/49
    DPs:
     not#(or(x,y)) -> not#(y)
     not#(and(x,y)) -> not#(y)
     not#(and(x,y)) -> not#(x)
     not#(or(x,y)) -> not#(x)
    TRS:
     not(and(x,y)) -> or(not(x),not(y))
     not(or(x,y)) -> and(not(x),not(y))
     and(x,or(y,z)) -> or(and(x,y),and(x,z))
    Subterm Criterion Processor:
     simple projection:
      pi(not#) = 0
     problem:
      DPs:
       
      TRS:
       not(and(x,y)) -> or(not(x),not(y))
       not(or(x,y)) -> and(not(x),not(y))
       and(x,or(y,z)) -> or(and(x,y),and(x,z))
     Qed
    
    DPs:
     and#(x,or(y,z)) -> and#(x,z)
     and#(x,or(y,z)) -> and#(x,y)
    TRS:
     not(and(x,y)) -> or(not(x),not(y))
     not(or(x,y)) -> and(not(x),not(y))

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