Initial Problem

Start: eval_start_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: eval_start_0, eval_start_1, eval_start_10, eval_start_11, eval_start_2, eval_start_bb0_in, eval_start_bb1_in, eval_start_bb2_in, eval_start_bb3_in, eval_start_bb4_in, eval_start_bb5_in, eval_start_bb6_in, eval_start_start, eval_start_stop
Transitions:
t₂: eval_start_0(X₀, X₁, X₂, X₃, X₄) → eval_start_1(X₀, X₁, X₂, X₃, X₄)
t₃: eval_start_1(X₀, X₁, X₂, X₃, X₄) → eval_start_2(X₀, X₁, X₂, X₃, X₄)
t₁₄: eval_start_10(X₀, X₁, X₂, X₃, X₄) → eval_start_11(X₀, X₁, X₂, X₃, X₄)
t₁₅: eval_start_11(X₀, X₁, X₂, X₃, X₄) → eval_start_stop(X₀, X₁, X₂, X₃, X₄)
t₄: eval_start_2(X₀, X₁, X₂, X₃, X₄) → eval_start_bb1_in(X₂, X₁, X₂, X₃, X₄) :|: 0 ≤ X₃
t₅: eval_start_2(X₀, X₁, X₂, X₃, X₄) → eval_start_bb6_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ 0
t₁: eval_start_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_start_0(X₀, X₁, X₂, X₃, X₄)
t₆: eval_start_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₀
t₇: eval_start_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb5_in(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃
t₈: eval_start_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb3_in(X₀, X₀-1-X₃, X₂, X₃, 100+2⋅X₃)
t₁₀: eval_start_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb1_in(X₁, X₁, X₂, X₃, X₄) :|: X₄ ≤ 0
t₉: eval_start_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb4_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₄
t₁₁: eval_start_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb3_in(X₀, X₁, X₂, X₃, X₄-1)
t₁₂: eval_start_bb5_in(X₀, X₁, X₂, X₃, X₄) → eval_start_stop(X₀, X₁, X₂, X₃, X₄)
t₁₃: eval_start_bb6_in(X₀, X₁, X₂, X₃, X₄) → eval_start_10(X₀, X₁, X₂, X₃, X₄)
t₀: eval_start_start(X₀, X₁, X₂, X₃, X₄) → eval_start_bb0_in(X₀, X₁, X₂, X₃, X₄)

Preprocessing

Found invariant 1+X₃ ≤ 0 for location eval_start_10

Found invariant 0 ≤ X₃ ∧ X₀ ≤ X₂ for location eval_start_bb1_in

Found invariant 1+X₃ ≤ 0 for location eval_start_bb6_in

Found invariant 0 ≤ X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₂ for location eval_start_bb5_in

Found invariant 1+X₃ ≤ 0 for location eval_start_11

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀ for location eval_start_bb2_in

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_start_bb3_in

Found invariant 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_start_bb4_in

Problem after Preprocessing

Start: eval_start_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: eval_start_0, eval_start_1, eval_start_10, eval_start_11, eval_start_2, eval_start_bb0_in, eval_start_bb1_in, eval_start_bb2_in, eval_start_bb3_in, eval_start_bb4_in, eval_start_bb5_in, eval_start_bb6_in, eval_start_start, eval_start_stop
Transitions:
t₂: eval_start_0(X₀, X₁, X₂, X₃, X₄) → eval_start_1(X₀, X₁, X₂, X₃, X₄)
t₃: eval_start_1(X₀, X₁, X₂, X₃, X₄) → eval_start_2(X₀, X₁, X₂, X₃, X₄)
t₁₄: eval_start_10(X₀, X₁, X₂, X₃, X₄) → eval_start_11(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ 0
t₁₅: eval_start_11(X₀, X₁, X₂, X₃, X₄) → eval_start_stop(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ 0
t₄: eval_start_2(X₀, X₁, X₂, X₃, X₄) → eval_start_bb1_in(X₂, X₁, X₂, X₃, X₄) :|: 0 ≤ X₃
t₅: eval_start_2(X₀, X₁, X₂, X₃, X₄) → eval_start_bb6_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ 0
t₁: eval_start_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_start_0(X₀, X₁, X₂, X₃, X₄)
t₆: eval_start_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₇: eval_start_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb5_in(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₈: eval_start_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb3_in(X₀, X₀-1-X₃, X₂, X₃, 100+2⋅X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₁₀: eval_start_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb1_in(X₁, X₁, X₂, X₃, X₄) :|: X₄ ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃
t₉: eval_start_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb4_in(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₄ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃
t₁₁: eval_start_bb4_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb3_in(X₀, X₁, X₂, X₃, X₄-1) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃
t₁₂: eval_start_bb5_in(X₀, X₁, X₂, X₃, X₄) → eval_start_stop(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₃
t₁₃: eval_start_bb6_in(X₀, X₁, X₂, X₃, X₄) → eval_start_10(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ 0
t₀: eval_start_start(X₀, X₁, X₂, X₃, X₄) → eval_start_bb0_in(X₀, X₁, X₂, X₃, X₄)

MPRF for transition t₆: eval_start_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_start_bb1_in: [X₀]
• eval_start_bb2_in: [X₀-1]
• eval_start_bb3_in: [X₀-1]
• eval_start_bb4_in: [X₀-1]

MPRF for transition t₈: eval_start_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb3_in(X₀, X₀-1-X₃, X₂, X₃, 100+2⋅X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_start_bb1_in: [X₀]
• eval_start_bb2_in: [X₀]
• eval_start_bb3_in: [X₁]
• eval_start_bb4_in: [X₁]

MPRF for transition t₁₀: eval_start_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb1_in(X₁, X₁, X₂, X₃, X₄) :|: X₄ ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_start_bb1_in: [X₀]
• eval_start_bb2_in: [X₀]
• eval_start_bb3_in: [X₀]
• eval_start_bb4_in: [X₀]

TWN: t₉: eval_start_bb3_in→eval_start_bb4_in

Show Graph

Termination: true
Formula:

TWN - Lifting for [9: eval_start_bb3_in->eval_start_bb4_in; 11: eval_start_bb4_in->eval_start_bb3_in] of 2⋅X₀+2⋅X₂+2⋅X₃+8⋅X₄+14 {O(n)}

Cut unsatisfiable transition [t₁₀: eval_start_bb3_in→eval_start_bb1_in; t₇₈: eval_start_bb3_in→eval_start_bb1_in]

Found invariant 1 ≤ X₄ ∧ 1 ≤ X₃+X₄ ∧ 2 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_start_bb4_in_v1

Found invariant 1+X₃ ≤ 0 for location eval_start_10

Found invariant 0 ≤ X₃ ∧ X₀ ≤ X₂ for location eval_start_bb1_in

Found invariant 1+X₃ ≤ 0 for location eval_start_bb6_in

Found invariant 0 ≤ X₃ ∧ X₀ ≤ X₃ ∧ X₀ ≤ X₂ for location eval_start_bb5_in

Found invariant 1+X₃ ≤ 0 for location eval_start_11

Found invariant 0 ≤ X₄ ∧ 0 ≤ X₃+X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_start_bb3_in_v1

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀ for location eval_start_bb2_in

Found invariant 100 ≤ X₄ ∧ 100 ≤ X₃+X₄ ∧ 100+X₃ ≤ X₄ ∧ 101 ≤ X₂+X₄ ∧ 100 ≤ X₁+X₄ ∧ 101 ≤ X₀+X₄ ∧ 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ 1 ≤ X₀+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_start_bb3_in

Analysing control-flow refined program

knowledge_propagation leads to new time bound X₂ {O(n)} for transition t₇₇: eval_start_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb4_in_v1(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₄ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 100 ≤ X₁+X₄ ∧ 100 ≤ X₃+X₄ ∧ 100+X₃ ≤ X₄ ∧ 100 ≤ X₄ ∧ 101 ≤ X₀+X₄ ∧ 101 ≤ X₂+X₄ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃

MPRF for transition t₇₉: eval_start_bb4_in_v1(X₀, X₁, X₂, X₃, X₄) → eval_start_bb3_in_v1(X₀, X₁, X₂, X₃, X₄-1) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

100⋅X₂+2⋅X₃ {O(n)}

• eval_start_bb1_in: [100⋅X₀+2⋅X₃]
• eval_start_bb2_in: [100⋅X₀+2⋅X₃]
• eval_start_bb3_in: [100⋅X₁+100⋅X₃+X₄]
• eval_start_bb3_in_v1: [100⋅X₁+100⋅X₃+X₄]
• eval_start_bb4_in_v1: [100⋅X₁+100⋅X₃+X₄]

MPRF for transition t₈₀: eval_start_bb3_in_v1(X₀, X₁, X₂, X₃, X₄) → eval_start_bb4_in_v1(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₄ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

2⋅X₃+99⋅X₂+1 {O(n)}

• eval_start_bb1_in: [1+99⋅X₀+2⋅X₃]
• eval_start_bb2_in: [1+99⋅X₀+2⋅X₃]
• eval_start_bb3_in: [99⋅X₁+99⋅X₃+X₄]
• eval_start_bb3_in_v1: [1+99⋅X₁+99⋅X₃+X₄]
• eval_start_bb4_in_v1: [99⋅X₁+99⋅X₃+X₄]

MPRF for transition t₈₁: eval_start_bb3_in_v1(X₀, X₁, X₂, X₃, X₄) → eval_start_bb1_in(X₁, X₁, X₂, X₃, X₄) :|: X₄ ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄ of depth 1:

new bound:

2⋅X₂+1 {O(n)}

• eval_start_bb1_in: [X₀+X₂-1]
• eval_start_bb2_in: [X₀+X₂-1]
• eval_start_bb3_in: [X₀+X₂-1]
• eval_start_bb3_in_v1: [X₀+X₂-1]
• eval_start_bb4_in_v1: [X₀+X₂-1]

CFR: Improvement to new bound with the following program:

method: PartialEvaluation new bound:

O(n)

Start: eval_start_start
Program_Vars: X₀, X₁, X₂, X₃, X₄
Temp_Vars:
Locations: eval_start_0, eval_start_1, eval_start_10, eval_start_11, eval_start_2, eval_start_bb0_in, eval_start_bb1_in, eval_start_bb2_in, eval_start_bb3_in, eval_start_bb3_in_v1, eval_start_bb4_in_v1, eval_start_bb5_in, eval_start_bb6_in, eval_start_start, eval_start_stop
Transitions:
t₂: eval_start_0(X₀, X₁, X₂, X₃, X₄) → eval_start_1(X₀, X₁, X₂, X₃, X₄)
t₃: eval_start_1(X₀, X₁, X₂, X₃, X₄) → eval_start_2(X₀, X₁, X₂, X₃, X₄)
t₁₄: eval_start_10(X₀, X₁, X₂, X₃, X₄) → eval_start_11(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ 0
t₁₅: eval_start_11(X₀, X₁, X₂, X₃, X₄) → eval_start_stop(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ 0
t₄: eval_start_2(X₀, X₁, X₂, X₃, X₄) → eval_start_bb1_in(X₂, X₁, X₂, X₃, X₄) :|: 0 ≤ X₃
t₅: eval_start_2(X₀, X₁, X₂, X₃, X₄) → eval_start_bb6_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ 0
t₁: eval_start_bb0_in(X₀, X₁, X₂, X₃, X₄) → eval_start_0(X₀, X₁, X₂, X₃, X₄)
t₆: eval_start_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb2_in(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₇: eval_start_bb1_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb5_in(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₃ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₈: eval_start_bb2_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb3_in(X₀, X₀-1-X₃, X₂, X₃, 100+2⋅X₃) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₇₇: eval_start_bb3_in(X₀, X₁, X₂, X₃, X₄) → eval_start_bb4_in_v1(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₄ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 100 ≤ X₁+X₄ ∧ 100 ≤ X₃+X₄ ∧ 100+X₃ ≤ X₄ ∧ 100 ≤ X₄ ∧ 101 ≤ X₀+X₄ ∧ 101 ≤ X₂+X₄ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃
t₈₁: eval_start_bb3_in_v1(X₀, X₁, X₂, X₃, X₄) → eval_start_bb1_in(X₁, X₁, X₂, X₃, X₄) :|: X₄ ≤ 0 ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₈₀: eval_start_bb3_in_v1(X₀, X₁, X₂, X₃, X₄) → eval_start_bb4_in_v1(X₀, X₁, X₂, X₃, X₄) :|: 1 ≤ X₄ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₀+X₄ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃ ∧ 0 ≤ X₃+X₄ ∧ 0 ≤ X₄
t₇₉: eval_start_bb4_in_v1(X₀, X₁, X₂, X₃, X₄) → eval_start_bb3_in_v1(X₀, X₁, X₂, X₃, X₄-1) :|: 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 1 ≤ X₃+X₄ ∧ 1 ≤ X₄ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₀+X₄ ∧ 2 ≤ X₂+X₄ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃
t₁₂: eval_start_bb5_in(X₀, X₁, X₂, X₃, X₄) → eval_start_stop(X₀, X₁, X₂, X₃, X₄) :|: X₀ ≤ X₂ ∧ X₀ ≤ X₃ ∧ 0 ≤ X₃
t₁₃: eval_start_bb6_in(X₀, X₁, X₂, X₃, X₄) → eval_start_10(X₀, X₁, X₂, X₃, X₄) :|: 1+X₃ ≤ 0
t₀: eval_start_start(X₀, X₁, X₂, X₃, X₄) → eval_start_bb0_in(X₀, X₁, X₂, X₃, X₄)

All Bounds

Timebounds

Overall timebound:204⋅X₂+4⋅X₃+13 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: X₂ {O(n)}
t₇: 1 {O(1)}
t₈: X₂ {O(n)}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₄: 1 {O(1)}
t₁₅: 1 {O(1)}
t₇₇: X₂ {O(n)}
t₇₉: 100⋅X₂+2⋅X₃ {O(n)}
t₈₀: 2⋅X₃+99⋅X₂+1 {O(n)}
t₈₁: 2⋅X₂+1 {O(n)}

Costbounds

Overall costbound: 204⋅X₂+4⋅X₃+13 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}
t₃: 1 {O(1)}
t₄: 1 {O(1)}
t₅: 1 {O(1)}
t₆: X₂ {O(n)}
t₇: 1 {O(1)}
t₈: X₂ {O(n)}
t₁₂: 1 {O(1)}
t₁₃: 1 {O(1)}
t₁₄: 1 {O(1)}
t₁₅: 1 {O(1)}
t₇₇: X₂ {O(n)}
t₇₉: 100⋅X₂+2⋅X₃ {O(n)}
t₈₀: 2⋅X₃+99⋅X₂+1 {O(n)}
t₈₁: 2⋅X₂+1 {O(n)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₀, X₄: X₄ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: X₄ {O(n)}
t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₃ {O(n)}
t₂, X₄: X₄ {O(n)}
t₃, X₀: X₀ {O(n)}
t₃, X₁: X₁ {O(n)}
t₃, X₂: X₂ {O(n)}
t₃, X₃: X₃ {O(n)}
t₃, X₄: X₄ {O(n)}
t₄, X₀: X₂ {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₃ {O(n)}
t₄, X₄: X₄ {O(n)}
t₅, X₀: X₀ {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: X₂ {O(n)}
t₅, X₃: X₃ {O(n)}
t₅, X₄: X₄ {O(n)}
t₆, X₀: X₂ {O(n)}
t₆, X₁: X₁+X₂ {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: X₃ {O(n)}
t₆, X₄: X₄ {O(n)}
t₇, X₀: 2⋅X₂ {O(n)}
t₇, X₁: X₁+X₂ {O(n)}
t₇, X₂: 2⋅X₂ {O(n)}
t₇, X₃: 2⋅X₃ {O(n)}
t₇, X₄: X₄ {O(n)}
t₈, X₀: X₂ {O(n)}
t₈, X₁: X₂ {O(n)}
t₈, X₂: X₂ {O(n)}
t₈, X₃: X₃ {O(n)}
t₈, X₄: 2⋅X₃+100 {O(n)}
t₁₂, X₀: 2⋅X₂ {O(n)}
t₁₂, X₁: X₁+X₂ {O(n)}
t₁₂, X₂: 2⋅X₂ {O(n)}
t₁₂, X₃: 2⋅X₃ {O(n)}
t₁₂, X₄: X₄ {O(n)}
t₁₃, X₀: X₀ {O(n)}
t₁₃, X₁: X₁ {O(n)}
t₁₃, X₂: X₂ {O(n)}
t₁₃, X₃: X₃ {O(n)}
t₁₃, X₄: X₄ {O(n)}
t₁₄, X₀: X₀ {O(n)}
t₁₄, X₁: X₁ {O(n)}
t₁₄, X₂: X₂ {O(n)}
t₁₄, X₃: X₃ {O(n)}
t₁₄, X₄: X₄ {O(n)}
t₁₅, X₀: X₀ {O(n)}
t₁₅, X₁: X₁ {O(n)}
t₁₅, X₂: X₂ {O(n)}
t₁₅, X₃: X₃ {O(n)}
t₁₅, X₄: X₄ {O(n)}
t₇₇, X₀: X₂ {O(n)}
t₇₇, X₁: X₂ {O(n)}
t₇₇, X₂: X₂ {O(n)}
t₇₇, X₃: X₃ {O(n)}
t₇₇, X₄: 2⋅X₃+100 {O(n)}
t₇₉, X₀: X₂ {O(n)}
t₇₉, X₁: X₂ {O(n)}
t₇₉, X₂: X₂ {O(n)}
t₇₉, X₃: X₃ {O(n)}
t₇₉, X₄: 2⋅X₃+100 {O(n)}
t₈₀, X₀: X₂ {O(n)}
t₈₀, X₁: X₂ {O(n)}
t₈₀, X₂: X₂ {O(n)}
t₈₀, X₃: X₃ {O(n)}
t₈₀, X₄: 2⋅X₃+100 {O(n)}
t₈₁, X₀: X₂ {O(n)}
t₈₁, X₁: X₂ {O(n)}
t₈₁, X₂: X₂ {O(n)}
t₈₁, X₃: X₃ {O(n)}
t₈₁, X₄: 0 {O(1)}