/export/starexec/sandbox/solver/bin/starexec_run_its /export/starexec/sandbox/benchmark/theBenchmark.koat /export/starexec/sandbox/output/output_files


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MAYBE

Preprocessing Cost Relations
=====================================

#### Computed strongly connected components 
0. recursive  : [f0/13]
1. non_recursive  : [exit_location/1]
2. non_recursive  : [f2/7]
3. non_recursive  : [f0_loop_cont/8]
4. non_recursive  : [f1/7]

#### Obtained direct recursion through partial evaluation 
0. SCC is partially evaluated into f0/13
1. SCC is completely evaluated into other SCCs
2. SCC is completely evaluated into other SCCs
3. SCC is partially evaluated into f0_loop_cont/8
4. SCC is partially evaluated into f1/7

Control-Flow Refinement of Cost Relations
=====================================

### Specialization of cost equations f0/13 
* CE 6 is refined into CE [9] 
* CE 2 is refined into CE [10] 
* CE 5 is refined into CE [11] 
* CE 4 is refined into CE [12] 
* CE 3 is refined into CE [13] 


### Cost equations --> "Loop" of f0/13 
* CEs [11] --> Loop 9 
* CEs [12] --> Loop 10 
* CEs [13] --> Loop 11 
* CEs [9] --> Loop 12 
* CEs [10] --> Loop 13 

### Ranking functions of CR f0(A,B,C,D,E,F,J,K,L,M,N,O,P) 

#### Partial ranking functions of CR f0(A,B,C,D,E,F,J,K,L,M,N,O,P) 
* Partial RF of phase [9,10,11]:
  - RF of loop [9:1,10:1]:
    A
  - RF of loop [11:1]:
    C-2 depends on loops [9:1,10:1] 


### Specialization of cost equations f0_loop_cont/8 
* CE 8 is refined into CE [14] 
* CE 7 is refined into CE [15] 


### Cost equations --> "Loop" of f0_loop_cont/8 
* CEs [14] --> Loop 14 
* CEs [15] --> Loop 15 

### Ranking functions of CR f0_loop_cont(A,B,C,D,E,F,G,H) 

#### Partial ranking functions of CR f0_loop_cont(A,B,C,D,E,F,G,H) 


### Specialization of cost equations f1/7 
* CE 1 is refined into CE [16,17,18,19] 


### Cost equations --> "Loop" of f1/7 
* CEs [16,19] --> Loop 16 
* CEs [17] --> Loop 17 
* CEs [18] --> Loop 18 

### Ranking functions of CR f1(A,B,C,D,E,F,J) 

#### Partial ranking functions of CR f1(A,B,C,D,E,F,J) 


Computing Bounds
=====================================

#### Cost of chains of f0(A,B,C,D,E,F,J,K,L,M,N,O,P):
* Chain [[9,10,11],13]: 2*it(9)+1*it(11)+0
  Such that:aux(3) =< A
it(9) =< aux(3)

  with precondition: [J=2,K=0,A>=1] 

* Chain [[9,10,11],12]: 2*it(9)+1*it(11)+0
  Such that:aux(4) =< A
it(9) =< aux(4)

  with precondition: [J=3,A>=1] 

* Chain [13]: 0
  with precondition: [J=2,M=C,N=D,O=E,P=F,A=K,0>=A] 

* Chain [12]: 0
  with precondition: [J=3] 


#### Cost of chains of f0_loop_cont(A,B,C,D,E,F,G,H):
* Chain [15]: 0
  with precondition: [A=2] 

* Chain [14]: 0
  with precondition: [A=3] 


#### Cost of chains of f1(A,B,C,D,E,F,J):
* Chain [18]: 0
  with precondition: [] 

* Chain [17]: 0
  with precondition: [0>=A] 

* Chain [16]: 4*s(2)+2*s(3)+0
  Such that:aux(5) =< A
s(2) =< aux(5)

  with precondition: [A>=1] 


Closed-form bounds of f1(A,B,C,D,E,F,J): 
-------------------------------------
* Chain [18] with precondition: [] 
    - Upper bound: 0 
    - Complexity: constant 
* Chain [17] with precondition: [0>=A] 
    - Upper bound: 0 
    - Complexity: constant 
* Chain [16] with precondition: [A>=1] 
    - Upper bound: inf 
    - Complexity: infinity 

### Maximum cost of f1(A,B,C,D,E,F,J): inf 
Asymptotic class: infinity 
* Total analysis performed in 182 ms.