Problem Mixed innermost test830

Tool LMPO

Execution Time
0.043
Answer
MAYBE
InputMixed innermost test830

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(s(X)) -> f(X)
     , g(cons(0(), Y)) -> g(Y)
     , g(cons(s(X), Y)) -> s(X)
     , h(cons(X, Y)) -> h(g(cons(X, Y)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool MPO

Execution Time
0.042
Answer
MAYBE
InputMixed innermost test830

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(s(X)) -> f(X)
     , g(cons(0(), Y)) -> g(Y)
     , g(cons(s(X), Y)) -> s(X)
     , h(cons(X, Y)) -> h(g(cons(X, Y)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool POP*

Execution Time
0.038
Answer
MAYBE
InputMixed innermost test830

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(s(X)) -> f(X)
     , g(cons(0(), Y)) -> g(Y)
     , g(cons(s(X), Y)) -> s(X)
     , h(cons(X, Y)) -> h(g(cons(X, Y)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool POP* (PS)

Execution Time
0.038
Answer
MAYBE
InputMixed innermost test830

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(s(X)) -> f(X)
     , g(cons(0(), Y)) -> g(Y)
     , g(cons(s(X), Y)) -> s(X)
     , h(cons(X, Y)) -> h(g(cons(X, Y)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool Small POP*

Execution Time
0.035
Answer
MAYBE
InputMixed innermost test830

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(s(X)) -> f(X)
     , g(cons(0(), Y)) -> g(Y)
     , g(cons(s(X), Y)) -> s(X)
     , h(cons(X, Y)) -> h(g(cons(X, Y)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..

Tool Small POP* (PS)

Execution Time
0.026
Answer
MAYBE
InputMixed innermost test830

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  f(s(X)) -> f(X)
     , g(cons(0(), Y)) -> g(Y)
     , g(cons(s(X), Y)) -> s(X)
     , h(cons(X, Y)) -> h(g(cons(X, Y)))}
  StartTerms: basic terms
  Strategy: innermost

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..