TRS Stand 20472 pair #381710236

details

property	value
status	complete
benchmark	lepper_2.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n016.star.cs.uiowa.edu
space	Hydras

run statistics

property	value
solver	Wanda
configuration	FirstOrder
runtime (wallclock)	2.93729496002 seconds
cpu usage	2.921059325
max memory	1.40988416E8

stage attributes

key	value
output-size	2554
starexec-result	MAYBE

output

/export/starexec/sandbox/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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MAYBE
We consider the system theBenchmark.

We are asked to determine termination of the following first-order TRS.

  !plus : [o * o] --> o 
  0 : [] --> o 
  J1 : [o * o] --> o 
  J2 : [o * o * o] --> o 
  M : [o * o * o] --> o 
  P : [o * o * o] --> o 
  Q11 : [o * o] --> o 
  Q21 : [o * o * o] --> o 
  Q22 : [o * o * o] --> o 
  R1 : [o * o * o] --> o 
  R2 : [o * o * o * o] --> o 
  S : [o] --> o 
  a : [o] --> o 
  l : [o] --> o 
  o : [o] --> o 

  a(X) => X 
  o(X) => X 
  l(X) => X 
  S(X) => X 
  !plus(X, Y) => Y 
  !plus(X, Y) => X 
  P(X, Y, Z) => Z 
  P(X, Y, Z) => Y 
  P(X, Y, Z) => X 
  M(X, Y, Z) => Z 
  M(X, Y, Z) => Y 
  M(X, Y, Z) => X 
  J1(X, Y) => Y 
  J1(X, Y) => X 
  J2(X, Y, Z) => Z 
  J2(X, Y, Z) => Y 
  J2(X, Y, Z) => X 
  Q11(X, Y) => Y 
  Q11(X, Y) => X 
  Q21(X, Y, Z) => Z 
  Q21(X, Y, Z) => Y 
  Q21(X, Y, Z) => X 
  Q22(X, Y, Z) => Z 
  Q22(X, Y, Z) => Y 
  Q22(X, Y, Z) => X 
  R1(X, Y, Z) => Z 
  R1(X, Y, Z) => Y 
  R1(X, Y, Z) => X 
  R2(X, Y, Z, U) => U 
  R2(X, Y, Z, U) => Z 
  R2(X, Y, Z, U) => Y 
  R2(X, Y, Z, U) => X 
  P(0, 0, 0) => S(0) 
  !plus(X, S(Y)) => S(!plus(X, Y)) 
  a(l(X)) => l(a(a(X))) 
  l(o(X)) => o(l(l(X))) 
  o(X) => l(X) 
  l(X) => a(X) 
  a(S(X)) => S(l(X)) 
  a(!plus(X, Y)) => !plus(l(X), Y) 
  a(!plus(X, Y)) => !plus(X, l(Y)) 
  a(P(X, Y, Z)) => P(X, Y, l(Z)) 
  a(P(X, Y, Z)) => P(X, l(Y), Z) 
  a(P(X, Y, Z)) => P(l(X), Y, Z) 
  !plus(X, o(Y)) => o(!plus(X, Y)) 
  P(X, Y, o(Z)) => o(P(X, Y, Z)) 
  P(X, o(Y), Z) => o(P(X, Y, Z)) 
  P(o(X), Y, Z) => o(P(X, Y, Z)) 
  M(X, Y, l(Z)) => !plus(M(X, Y, Z), P(X, Y, Z)) 
  J2(X, l(Y), Z) => P(X, J2(X, Y, Z), 0) 
  J1(l(X), Y) => P(J1(X, Y), 0, 0) 
  a(S(X)) => o(X) 
  P(0, 0, S(X)) => o(M(0, 0, X)) 
  P(0, 0, P(X, Y, Z)) => o(M(X, Y, Z)) 
  P(X, S(Y), Z) => o(J2(X, Y, Z)) 
  P(S(X), 0, Y) => o(J1(X, Y)) 
  P(X, S(Y), S(Z)) => o(J2(X, Y, P(X, S(Y), Z))) 
  P(S(X), 0, S(Y)) => o(J1(X, P(S(X), 0, Y))) 
  a(P(X, Y, 0)) => Q22(X, a(Y), Y) 
  a(P(X, Y, 0)) => Q21(X, a(Y), X) 
  a(P(X, 0, 0)) => Q11(a(X), X) 
  Q22(X, o(Y), Z) => o(P(X, Y, Z)) 
  Q21(X, o(Y), Z) => o(P(X, Y, Z)) 
  Q11(o(X), Y) => o(P(X, 0, Y)) 
  a(P(X, Y, S(Z))) => R2(X, a(Y), Y, Z) 
  a(P(X, 0, S(Y))) => R1(a(X), X, Y) 
  R2(X, o(Y), Z, U) => o(P(X, Y, P(X, Z, U))) 
  R1(o(X), Y, Z) => o(P(X, 0, P(Y, 0, Z)))

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