- : unit = ()
- : unit = ()
h : heuristic = <heuristic>
- : unit = ()
APPLY CRITERIA (Marked dependency pairs)

TRS termination of:
[1] cond1(true,x,y,z) -> cond2(gr(y,z),x,y,z)
[2] cond2(true,x,y,z) -> cond2(gr(y,z),p(x),p(y),z)
[3] cond2(false,x,y,z) -> cond1(and(eq(x,y),gr(x,z)),x,y,z)
[4] gr(0,x) -> false
[5] gr(s(x),0) -> true
[6] gr(s(x),s(y)) -> gr(x,y)
[7] p(0) -> 0
[8] p(s(x)) -> x
[9] eq(0,0) -> true
[10] eq(s(x),0) -> false
[11] eq(0,s(x)) -> false
[12] eq(s(x),s(y)) -> eq(x,y)
[13] and(true,true) -> true
[14] and(false,x) -> false
[15] and(x,false) -> false


Sub problem: 
guided: 

DP termination of:
<Marked_cond1(true,x,y,z) , Marked_cond2(gr(y,z),x,y,z)>
<Marked_cond1(true,x,y,z) , Marked_gr(y,z)>
<Marked_cond2(true,x,y,z) , Marked_cond2(gr(y,z),p(x),p(y),z)>
<Marked_cond2(true,x,y,z) , Marked_gr(y,z)>
<Marked_cond2(true,x,y,z) , Marked_p(x)>
<Marked_cond2(true,x,y,z) , Marked_p(y)>
<Marked_cond2(false,x,y,z) , Marked_cond1(and(eq(x,y),gr(x,z)),x,y,z)>
<Marked_cond2(false,x,y,z) , Marked_and(eq(x,y),gr(x,z))>
<Marked_cond2(false,x,y,z) , Marked_eq(x,y)>
<Marked_cond2(false,x,y,z) , Marked_gr(x,z)>
<Marked_gr(s(x),s(y)) , Marked_gr(x,y)>
<Marked_eq(s(x),s(y)) , Marked_eq(x,y)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 3 components:

{  <Marked_cond2(false,x,y,z) , Marked_cond1(and(eq(x,y),gr(x,z)),x,y,z)> 
      --> <Marked_cond1(true,x,y,z) , Marked_cond2(gr(y,z),x,y,z)>
  <Marked_cond2(true,x,y,z) , Marked_cond2(gr(y,z),p(x),p(y),z)> 
     --> <Marked_cond2(false,x,y,z) , Marked_cond1(and(eq(x,y),gr(x,z)),x,y,z)>
  <Marked_cond2(true,x,y,z) , Marked_cond2(gr(y,z),p(x),p(y),z)> 
     --> <Marked_cond2(true,x,y,z) , Marked_cond2(gr(y,z),p(x),p(y),z)>
  <Marked_cond1(true,x,y,z) , Marked_cond2(gr(y,z),x,y,z)> 
     --> <Marked_cond2(false,x,y,z) , Marked_cond1(and(eq(x,y),gr(x,z)),x,y,z)>
  <Marked_cond1(true,x,y,z) , Marked_cond2(gr(y,z),x,y,z)> 
     --> <Marked_cond2(true,x,y,z) , Marked_cond2(gr(y,z),p(x),p(y),z)>
}

{  <Marked_gr(s(x),s(y)) , Marked_gr(x,y)> 
      --> <Marked_gr(s(x),s(y)) , Marked_gr(x,y)>
}

{  <Marked_eq(s(x),s(y)) , Marked_eq(x,y)> 
      --> <Marked_eq(s(x),s(y)) , Marked_eq(x,y)>
}
APPLY CRITERIA (Subterm criterion)
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  cond2(true,x,y,z) >= cond2(gr(y,z),p(x),p(y),z) ;
  cond2(false,x,y,z) >= cond1(and(eq(x,y),gr(x,z)),x,y,z) ;
  gr(0,x) >= false ;
  gr(s(x),0) >= true ;
  gr(s(x),s(y)) >= gr(x,y) ;
  cond1(true,x,y,z) >= cond2(gr(y,z),x,y,z) ;
  p(0) >= 0 ;
  p(s(x)) >= x ;
  and(true,true) >= true ;
  and(false,x) >= false ;
  and(x,false) >= false ;
  eq(0,0) >= true ;
  eq(0,s(x)) >= false ;
  eq(s(x),0) >= false ;
  eq(s(x),s(y)) >= eq(x,y) ;
  Marked_cond2(true,x,y,z) >= Marked_cond2(gr(y,z),p(x),p(y),z) ;
  Marked_cond2(false,x,y,z) >= Marked_cond1(and(eq(x,y),gr(x,z)),x,y,z) ;
  Marked_cond1(true,x,y,z) >= Marked_cond2(gr(y,z),x,y,z) ;
 }
 + Disjunctions:{ 
{
  Marked_cond2(true,x,y,z) > Marked_cond2(gr(y,z),p(x),p(y),z) ;
 }
{
  Marked_cond2(false,x,y,z) > Marked_cond1(and(eq(x,y),gr(x,z)),x,y,z) ;
 }
{
  Marked_cond1(true,x,y,z) > Marked_cond2(gr(y,z),x,y,z) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
Entering rpo_solver
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 15.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 15.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
=== TIMER virtual : 50.000000 ===
trying sub matrices of size: 1
Matrix interpretation constraints generated.
Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. 
Termination constraints generated.
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 50.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
No solution found for these constraints.
APPLY CRITERIA (Simple graph)
Found the following constraints:
{
  cond2(true,x,y,z) >= cond2(gr(y,z),p(x),p(y),z) ;
  cond2(false,x,y,z) >= cond1(and(eq(x,y),gr(x,z)),x,y,z) ;
  gr(0,x) >= false ;
  gr(s(x),0) >= true ;
  gr(s(x),s(y)) >= gr(x,y) ;
  cond1(true,x,y,z) >= cond2(gr(y,z),x,y,z) ;
  p(0) >= 0 ;
  p(s(x)) >= x ;
  and(true,true) >= true ;
  and(false,x) >= false ;
  and(x,false) >= false ;
  eq(0,0) >= true ;
  eq(0,s(x)) >= false ;
  eq(s(x),0) >= false ;
  eq(s(x),s(y)) >= eq(x,y) ;
  Marked_cond2(true,x,y,z) > Marked_cond2(gr(y,z),p(x),p(y),z) ;
  Marked_cond2(false,x,y,z) >= Marked_cond1(and(eq(x,y),gr(x,z)),x,y,z) ;
  Marked_cond1(true,x,y,z) > Marked_cond2(gr(y,z),x,y,z) ;
 }

APPLY CRITERIA (SOLVE_ORD)
Trying to solve the following constraints:
{
  cond2(true,x,y,z) >= cond2(gr(y,z),p(x),p(y),z) ;
  cond2(false,x,y,z) >= cond1(and(eq(x,y),gr(x,z)),x,y,z) ;
  gr(0,x) >= false ;
  gr(s(x),0) >= true ;
  gr(s(x),s(y)) >= gr(x,y) ;
  cond1(true,x,y,z) >= cond2(gr(y,z),x,y,z) ;
  p(0) >= 0 ;
  p(s(x)) >= x ;
  and(true,true) >= true ;
  and(false,x) >= false ;
  and(x,false) >= false ;
  eq(0,0) >= true ;
  eq(0,s(x)) >= false ;
  eq(s(x),0) >= false ;
  eq(s(x),s(y)) >= eq(x,y) ;
  Marked_cond2(true,x,y,z) > Marked_cond2(gr(y,z),p(x),p(y),z) ;
  Marked_cond2(false,x,y,z) >= Marked_cond1(and(eq(x,y),gr(x,z)),x,y,z) ;
  Marked_cond1(true,x,y,z) > Marked_cond2(gr(y,z),x,y,z) ;
 }
 + Disjunctions:{ 
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
Entering rpo_solver
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
No solution found for these parameters.(37947 bt (27351) [10308])
=== TIMER virtual : 15.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 15.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
=== TIMER virtual : 50.000000 ===
trying sub matrices of size: 1
Matrix interpretation constraints generated.
Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. 
Termination constraints generated.
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 50.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
No solution found for these constraints.
APPLY CRITERIA (ID_CRIT)
NOT SOLVED
No proof found
Cime worked for 11.301183 seconds (real time)
Cime Exit Status: 0