Initial Problem

Start: eval_random2d_start
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: nondef.0
Locations: eval_random2d_1, eval_random2d_2, eval_random2d_LeafBlock1_in, eval_random2d_LeafBlock3_in, eval_random2d_LeafBlock5_in, eval_random2d_LeafBlock_in, eval_random2d_NewDefault_in, eval_random2d_NodeBlock7_in, eval_random2d_NodeBlock9_in, eval_random2d_NodeBlock_in, eval_random2d_bb0_in, eval_random2d_bb1_in, eval_random2d_bb2_in, eval_random2d_bb3_in, eval_random2d_bb4_in, eval_random2d_bb5_in, eval_random2d_bb6_in, eval_random2d_bb7_in, eval_random2d_bb8_in, eval_random2d_start, eval_random2d_stop
Transitions:
t₆: eval_random2d_1(X₀, X₁, X₂, X₃) → eval_random2d_2(X₀, nondef.0, X₂, X₃)
t₈: eval_random2d_2(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀) :|: 1+X₁ ≤ 0
t₉: eval_random2d_2(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀) :|: 4 ≤ X₁
t₇: eval_random2d_2(X₀, X₁, X₂, X₃) → eval_random2d_bb3_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 3 ∧ 0 ≤ X₁
t₂₀: eval_random2d_LeafBlock1_in(X₀, X₁, X₂, X₃) → eval_random2d_NewDefault_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 0
t₂₁: eval_random2d_LeafBlock1_in(X₀, X₁, X₂, X₃) → eval_random2d_NewDefault_in(X₀, X₁, X₂, X₃) :|: 2 ≤ X₁
t₁₉: eval_random2d_LeafBlock1_in(X₀, X₁, X₂, X₃) → eval_random2d_bb5_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 1 ∧ 1 ≤ X₁
t₂₆: eval_random2d_LeafBlock3_in(X₀, X₁, X₂, X₃) → eval_random2d_NewDefault_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 1
t₂₇: eval_random2d_LeafBlock3_in(X₀, X₁, X₂, X₃) → eval_random2d_NewDefault_in(X₀, X₁, X₂, X₃) :|: 3 ≤ X₁
t₂₅: eval_random2d_LeafBlock3_in(X₀, X₁, X₂, X₃) → eval_random2d_bb6_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 2 ∧ 2 ≤ X₁
t₃₀: eval_random2d_LeafBlock5_in(X₀, X₁, X₂, X₃) → eval_random2d_NewDefault_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 2
t₃₁: eval_random2d_LeafBlock5_in(X₀, X₁, X₂, X₃) → eval_random2d_NewDefault_in(X₀, X₁, X₂, X₃) :|: 4 ≤ X₁
t₂₉: eval_random2d_LeafBlock5_in(X₀, X₁, X₂, X₃) → eval_random2d_bb7_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 3 ∧ 3 ≤ X₁
t₁₆: eval_random2d_LeafBlock_in(X₀, X₁, X₂, X₃) → eval_random2d_NewDefault_in(X₀, X₁, X₂, X₃) :|: 1+X₁ ≤ 0
t₁₇: eval_random2d_LeafBlock_in(X₀, X₁, X₂, X₃) → eval_random2d_NewDefault_in(X₀, X₁, X₂, X₃) :|: 1 ≤ X₁
t₁₅: eval_random2d_LeafBlock_in(X₀, X₁, X₂, X₃) → eval_random2d_bb4_in(X₀, X₁, X₂, X₃) :|: 0 ≤ X₁ ∧ X₁ ≤ 0
t₃₃: eval_random2d_NewDefault_in(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀)
t₂₃: eval_random2d_NodeBlock7_in(X₀, X₁, X₂, X₃) → eval_random2d_LeafBlock3_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 2
t₂₄: eval_random2d_NodeBlock7_in(X₀, X₁, X₂, X₃) → eval_random2d_LeafBlock5_in(X₀, X₁, X₂, X₃) :|: 3 ≤ X₁
t₁₂: eval_random2d_NodeBlock9_in(X₀, X₁, X₂, X₃) → eval_random2d_NodeBlock7_in(X₀, X₁, X₂, X₃) :|: 2 ≤ X₁
t₁₁: eval_random2d_NodeBlock9_in(X₀, X₁, X₂, X₃) → eval_random2d_NodeBlock_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 1
t₁₄: eval_random2d_NodeBlock_in(X₀, X₁, X₂, X₃) → eval_random2d_LeafBlock1_in(X₀, X₁, X₂, X₃) :|: 1 ≤ X₁
t₁₃: eval_random2d_NodeBlock_in(X₀, X₁, X₂, X₃) → eval_random2d_LeafBlock_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 0
t₁: eval_random2d_bb0_in(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, 0)
t₂: eval_random2d_bb1_in(X₀, X₁, X₂, X₃) → eval_random2d_bb2_in(X₀, X₁, X₂, X₃) :|: 1+X₃ ≤ X₂
t₃: eval_random2d_bb1_in(X₀, X₁, X₂, X₃) → eval_random2d_bb8_in(X₀, X₁, X₂, X₃) :|: X₂ ≤ X₃
t₄: eval_random2d_bb2_in(X₀, X₁, X₂, X₃) → eval_random2d_1(1+X₃, X₁, X₂, X₃)
t₁₀: eval_random2d_bb3_in(X₀, X₁, X₂, X₃) → eval_random2d_NodeBlock9_in(X₀, X₁, X₂, X₃)
t₁₈: eval_random2d_bb4_in(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀)
t₂₂: eval_random2d_bb5_in(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀)
t₂₈: eval_random2d_bb6_in(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀)
t₃₂: eval_random2d_bb7_in(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀)
t₃₄: eval_random2d_bb8_in(X₀, X₁, X₂, X₃) → eval_random2d_stop(X₀, X₁, X₂, X₃)
t₀: eval_random2d_start(X₀, X₁, X₂, X₃) → eval_random2d_bb0_in(X₀, X₁, X₂, X₃)

Preprocessing

Cut unsatisfiable transition [t₁₇: eval_random2d_LeafBlock_in→eval_random2d_NewDefault_in; t₂₀: eval_random2d_LeafBlock1_in→eval_random2d_NewDefault_in; t₂₇: eval_random2d_LeafBlock3_in→eval_random2d_NewDefault_in; t₃₀: eval_random2d_LeafBlock5_in→eval_random2d_NewDefault_in]

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 0 ∧ 1+X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_random2d_LeafBlock_in

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ X₁ ≤ 1+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_random2d_bb5_in

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀ for location eval_random2d_1

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ 2+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 2 ∧ X₁ ≤ 1+X₀ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_random2d_LeafBlock3_in

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 1 ≤ X₀ for location eval_random2d_2

Found invariant 0 ≤ X₃ ∧ X₂ ≤ X₃ for location eval_random2d_bb8_in

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ 3+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ X₁ ≤ 2+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 3 ∧ X₁ ≤ 2+X₀ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_random2d_NodeBlock7_in

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 3 ≤ X₁+X₃ ∧ X₁ ≤ 3+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ X₁ ≤ 2+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 3 ∧ X₁ ≤ 2+X₀ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_random2d_bb7_in

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 3 ≤ X₁+X₃ ∧ X₁ ≤ 3+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂ ∧ 4 ≤ X₁+X₂ ∧ X₁ ≤ 2+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 3 ∧ X₁ ≤ 2+X₀ ∧ 3 ≤ X₁ ∧ 4 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_random2d_LeafBlock5_in

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ 1+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_random2d_NodeBlock_in

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₁+X₃ ∧ X₁ ≤ 1+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 1 ∧ X₁ ≤ X₀ ∧ 1 ≤ X₁ ∧ 2 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_random2d_LeafBlock1_in

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ 3+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 2+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 3 ∧ X₁ ≤ 2+X₀ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_random2d_NodeBlock9_in

Found invariant 0 ≤ X₃ ∧ X₂ ≤ X₃ for location eval_random2d_stop

Found invariant 1 ≤ 0 for location eval_random2d_NewDefault_in

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ 1+X₁ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 0 ∧ 1+X₁ ≤ X₀ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_random2d_bb4_in

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 2 ≤ X₁+X₃ ∧ X₁ ≤ 2+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂ ∧ 3 ≤ X₁+X₂ ∧ X₁ ≤ 1+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 2 ∧ X₁ ≤ 1+X₀ ∧ 2 ≤ X₁ ∧ 3 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_random2d_bb6_in

Found invariant 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 1 ≤ X₂ for location eval_random2d_bb2_in

Found invariant 0 ≤ X₃ for location eval_random2d_bb1_in

Found invariant 1+X₃ ≤ X₂ ∧ 1+X₃ ≤ X₀ ∧ 0 ≤ X₃ ∧ 1 ≤ X₂+X₃ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ 3+X₃ ∧ 1 ≤ X₀+X₃ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₁+X₂ ∧ X₁ ≤ 2+X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ X₁ ≤ 3 ∧ X₁ ≤ 2+X₀ ∧ 0 ≤ X₁ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀ for location eval_random2d_bb3_in

Cut unsatisfiable transition [t₁₆: eval_random2d_LeafBlock_in→eval_random2d_NewDefault_in; t₂₁: eval_random2d_LeafBlock1_in→eval_random2d_NewDefault_in; t₂₆: eval_random2d_LeafBlock3_in→eval_random2d_NewDefault_in; t₃₁: eval_random2d_LeafBlock5_in→eval_random2d_NewDefault_in; t₃₃: eval_random2d_NewDefault_in→eval_random2d_bb1_in]

Cut unreachable locations [eval_random2d_NewDefault_in] from the program graph

Problem after Preprocessing

Start: eval_random2d_start
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: nondef.0
Locations: eval_random2d_1, eval_random2d_2, eval_random2d_LeafBlock1_in, eval_random2d_LeafBlock3_in, eval_random2d_LeafBlock5_in, eval_random2d_LeafBlock_in, eval_random2d_NodeBlock7_in, eval_random2d_NodeBlock9_in, eval_random2d_NodeBlock_in, eval_random2d_bb0_in, eval_random2d_bb1_in, eval_random2d_bb2_in, eval_random2d_bb3_in, eval_random2d_bb4_in, eval_random2d_bb5_in, eval_random2d_bb6_in, eval_random2d_bb7_in, eval_random2d_bb8_in, eval_random2d_start, eval_random2d_stop
Transitions:
t₆: eval_random2d_1(X₀, X₁, X₂, X₃) → eval_random2d_2(X₀, nondef.0, X₂, X₃) :|: X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₈: eval_random2d_2(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀) :|: 1+X₁ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₉: eval_random2d_2(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀) :|: 4 ≤ X₁ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₇: eval_random2d_2(X₀, X₁, X₂, X₃) → eval_random2d_bb3_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 3 ∧ 0 ≤ X₁ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₁₉: eval_random2d_LeafBlock1_in(X₀, X₁, X₂, X₃) → eval_random2d_bb5_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 1 ∧ 1 ≤ X₁ ∧ X₀ ≤ 1+X₃ ∧ X₁ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₂ ∧ 0 ≤ X₃
t₂₅: eval_random2d_LeafBlock3_in(X₀, X₁, X₂, X₃) → eval_random2d_bb6_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 2 ∧ 2 ≤ X₁ ∧ X₁ ≤ 2+X₃ ∧ X₁ ≤ 1+X₀ ∧ X₀ ≤ 1+X₃ ∧ X₁ ≤ 1+X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₂₉: eval_random2d_LeafBlock5_in(X₀, X₁, X₂, X₃) → eval_random2d_bb7_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 3 ∧ 3 ≤ X₁ ∧ X₁ ≤ 3+X₃ ∧ X₁ ≤ 2+X₀ ∧ X₁ ≤ 2+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 3 ≤ X₁+X₃ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₁₅: eval_random2d_LeafBlock_in(X₀, X₁, X₂, X₃) → eval_random2d_bb4_in(X₀, X₁, X₂, X₃) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ 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 ∧ X₁ ≤ X₃ ∧ 0 ≤ X₃
t₂₃: eval_random2d_NodeBlock7_in(X₀, X₁, X₂, X₃) → eval_random2d_LeafBlock3_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 2 ∧ X₁ ≤ 3 ∧ X₁ ≤ 3+X₃ ∧ X₁ ≤ 2+X₀ ∧ X₁ ≤ 2+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₂₄: eval_random2d_NodeBlock7_in(X₀, X₁, X₂, X₃) → eval_random2d_LeafBlock5_in(X₀, X₁, X₂, X₃) :|: 3 ≤ X₁ ∧ X₁ ≤ 3 ∧ X₁ ≤ 3+X₃ ∧ X₁ ≤ 2+X₀ ∧ X₁ ≤ 2+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₁₂: eval_random2d_NodeBlock9_in(X₀, X₁, X₂, X₃) → eval_random2d_NodeBlock7_in(X₀, X₁, X₂, X₃) :|: 2 ≤ X₁ ∧ X₁ ≤ 3 ∧ X₁ ≤ 3+X₃ ∧ X₁ ≤ 2+X₀ ∧ X₁ ≤ 2+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃
t₁₁: eval_random2d_NodeBlock9_in(X₀, X₁, X₂, X₃) → eval_random2d_NodeBlock_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 1 ∧ X₁ ≤ 3 ∧ X₁ ≤ 3+X₃ ∧ X₁ ≤ 2+X₀ ∧ X₁ ≤ 2+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃
t₁₄: eval_random2d_NodeBlock_in(X₀, X₁, X₂, X₃) → eval_random2d_LeafBlock1_in(X₀, X₁, X₂, X₃) :|: 1 ≤ X₁ ∧ X₀ ≤ 1+X₃ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₂ ∧ 0 ≤ X₃
t₁₃: eval_random2d_NodeBlock_in(X₀, X₁, X₂, X₃) → eval_random2d_LeafBlock_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₂ ∧ 0 ≤ X₃
t₁: eval_random2d_bb0_in(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, 0)
t₂: eval_random2d_bb1_in(X₀, X₁, X₂, X₃) → eval_random2d_bb2_in(X₀, X₁, X₂, X₃) :|: 1+X₃ ≤ X₂ ∧ 0 ≤ X₃
t₃: eval_random2d_bb1_in(X₀, X₁, X₂, X₃) → eval_random2d_bb8_in(X₀, X₁, X₂, X₃) :|: X₂ ≤ X₃ ∧ 0 ≤ X₃
t₄: eval_random2d_bb2_in(X₀, X₁, X₂, X₃) → eval_random2d_1(1+X₃, X₁, X₂, X₃) :|: 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃
t₁₀: eval_random2d_bb3_in(X₀, X₁, X₂, X₃) → eval_random2d_NodeBlock9_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 3 ∧ X₁ ≤ 3+X₃ ∧ X₁ ≤ 2+X₀ ∧ X₁ ≤ 2+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃
t₁₈: eval_random2d_bb4_in(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀) :|: X₀ ≤ 1+X₃ ∧ 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 ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₃ ∧ 0 ≤ X₃
t₂₂: eval_random2d_bb5_in(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀) :|: X₀ ≤ 1+X₃ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₂ ∧ 0 ≤ X₃
t₂₈: eval_random2d_bb6_in(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀) :|: X₁ ≤ 2 ∧ X₁ ≤ 2+X₃ ∧ X₁ ≤ 1+X₀ ∧ X₀ ≤ 1+X₃ ∧ X₁ ≤ 1+X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₃₂: eval_random2d_bb7_in(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀) :|: X₁ ≤ 3 ∧ X₁ ≤ 3+X₃ ∧ X₁ ≤ 2+X₀ ∧ X₁ ≤ 2+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 3 ≤ X₁+X₃ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃
t₃₄: eval_random2d_bb8_in(X₀, X₁, X₂, X₃) → eval_random2d_stop(X₀, X₁, X₂, X₃) :|: X₂ ≤ X₃ ∧ 0 ≤ X₃
t₀: eval_random2d_start(X₀, X₁, X₂, X₃) → eval_random2d_bb0_in(X₀, X₁, X₂, X₃)

MPRF for transition t₂: eval_random2d_bb1_in(X₀, X₁, X₂, X₃) → eval_random2d_bb2_in(X₀, X₁, X₂, X₃) :|: 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_random2d_1: [X₂-X₀]
• eval_random2d_2: [X₂-X₀]
• eval_random2d_LeafBlock1_in: [X₂-X₀]
• eval_random2d_LeafBlock3_in: [X₂-X₀]
• eval_random2d_LeafBlock5_in: [X₂-X₀]
• eval_random2d_LeafBlock_in: [X₂-X₀]
• eval_random2d_NodeBlock7_in: [X₂-X₀]
• eval_random2d_NodeBlock9_in: [X₂-X₀]
• eval_random2d_NodeBlock_in: [X₂-X₀]
• eval_random2d_bb1_in: [X₂-X₃]
• eval_random2d_bb2_in: [X₂-1-X₃]
• eval_random2d_bb3_in: [X₂-X₀]
• eval_random2d_bb4_in: [X₂-X₀]
• eval_random2d_bb5_in: [X₂-X₀]
• eval_random2d_bb6_in: [X₂-X₀]
• eval_random2d_bb7_in: [X₂-X₀]

MPRF for transition t₄: eval_random2d_bb2_in(X₀, X₁, X₂, X₃) → eval_random2d_1(1+X₃, X₁, X₂, X₃) :|: 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_random2d_1: [X₂-X₀]
• eval_random2d_2: [X₂-X₀]
• eval_random2d_LeafBlock1_in: [X₂-X₀]
• eval_random2d_LeafBlock3_in: [X₂-X₀]
• eval_random2d_LeafBlock5_in: [X₂-X₀]
• eval_random2d_LeafBlock_in: [X₂-X₀]
• eval_random2d_NodeBlock7_in: [X₂-X₀]
• eval_random2d_NodeBlock9_in: [X₂-X₀]
• eval_random2d_NodeBlock_in: [X₂-X₀]
• eval_random2d_bb1_in: [X₂-X₃]
• eval_random2d_bb2_in: [X₂-X₃]
• eval_random2d_bb3_in: [X₂-X₀]
• eval_random2d_bb4_in: [X₂-X₀]
• eval_random2d_bb5_in: [X₂-X₀]
• eval_random2d_bb6_in: [X₂-X₀]
• eval_random2d_bb7_in: [X₂-X₀]

MPRF for transition t₆: eval_random2d_1(X₀, X₁, X₂, X₃) → eval_random2d_2(X₀, nondef.0, X₂, X₃) :|: X₀ ≤ 1+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_random2d_1: [X₂-X₃]
• eval_random2d_2: [X₂-1-X₃]
• eval_random2d_LeafBlock1_in: [X₂-X₀]
• eval_random2d_LeafBlock3_in: [X₂-X₀]
• eval_random2d_LeafBlock5_in: [X₂-1-X₃]
• eval_random2d_LeafBlock_in: [X₂-X₀]
• eval_random2d_NodeBlock7_in: [X₂-1-X₃]
• eval_random2d_NodeBlock9_in: [X₂-1-X₃]
• eval_random2d_NodeBlock_in: [X₂-X₀]
• eval_random2d_bb1_in: [X₂-X₃]
• eval_random2d_bb2_in: [X₂-X₃]
• eval_random2d_bb3_in: [X₂-1-X₃]
• eval_random2d_bb4_in: [X₂-X₀]
• eval_random2d_bb5_in: [X₂-X₀]
• eval_random2d_bb6_in: [X₂-X₀]
• eval_random2d_bb7_in: [X₂-X₀]

MPRF for transition t₇: eval_random2d_2(X₀, X₁, X₂, X₃) → eval_random2d_bb3_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 3 ∧ 0 ≤ X₁ ∧ X₀ ≤ 1+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_random2d_1: [X₂-X₃]
• eval_random2d_2: [X₂-X₃]
• eval_random2d_LeafBlock1_in: [X₂-1-X₃]
• eval_random2d_LeafBlock3_in: [X₂-X₀]
• eval_random2d_LeafBlock5_in: [X₂-X₀]
• eval_random2d_LeafBlock_in: [X₂-X₀]
• eval_random2d_NodeBlock7_in: [X₂-X₀]
• eval_random2d_NodeBlock9_in: [X₂-X₀]
• eval_random2d_NodeBlock_in: [X₂-X₀]
• eval_random2d_bb1_in: [X₂-X₃]
• eval_random2d_bb2_in: [X₂-X₃]
• eval_random2d_bb3_in: [X₂-X₀]
• eval_random2d_bb4_in: [X₂-1-X₃]
• eval_random2d_bb5_in: [X₂-1-X₃]
• eval_random2d_bb6_in: [X₂-X₀]
• eval_random2d_bb7_in: [X₂-X₀]

MPRF for transition t₈: eval_random2d_2(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀) :|: 1+X₁ ≤ 0 ∧ X₀ ≤ 1+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_random2d_1: [X₂-X₃]
• eval_random2d_2: [1+X₂-X₀]
• eval_random2d_LeafBlock1_in: [X₂-X₀]
• eval_random2d_LeafBlock3_in: [X₂-X₀]
• eval_random2d_LeafBlock5_in: [X₂-X₀]
• eval_random2d_LeafBlock_in: [X₂-X₀]
• eval_random2d_NodeBlock7_in: [X₂-X₀]
• eval_random2d_NodeBlock9_in: [X₂-X₀]
• eval_random2d_NodeBlock_in: [X₂-X₀]
• eval_random2d_bb1_in: [X₂-X₃]
• eval_random2d_bb2_in: [X₂-X₃]
• eval_random2d_bb3_in: [X₂-X₀]
• eval_random2d_bb4_in: [X₂-X₀]
• eval_random2d_bb5_in: [X₂-X₀]
• eval_random2d_bb6_in: [X₂-X₀]
• eval_random2d_bb7_in: [X₂-X₀]

MPRF for transition t₉: eval_random2d_2(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀) :|: 4 ≤ X₁ ∧ X₀ ≤ 1+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_random2d_1: [X₂-X₃]
• eval_random2d_2: [1+X₂-X₀]
• eval_random2d_LeafBlock1_in: [X₂-X₀]
• eval_random2d_LeafBlock3_in: [X₂-X₀]
• eval_random2d_LeafBlock5_in: [X₂-X₀]
• eval_random2d_LeafBlock_in: [X₂-X₀]
• eval_random2d_NodeBlock7_in: [X₂-X₀]
• eval_random2d_NodeBlock9_in: [X₂-X₀]
• eval_random2d_NodeBlock_in: [X₂-X₀]
• eval_random2d_bb1_in: [X₂-X₃]
• eval_random2d_bb2_in: [X₂-X₃]
• eval_random2d_bb3_in: [X₂-X₀]
• eval_random2d_bb4_in: [X₂-X₀]
• eval_random2d_bb5_in: [X₂-X₀]
• eval_random2d_bb6_in: [X₂-X₀]
• eval_random2d_bb7_in: [X₂-X₀]

MPRF for transition t₁₀: eval_random2d_bb3_in(X₀, X₁, X₂, X₃) → eval_random2d_NodeBlock9_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 3 ∧ X₁ ≤ 3+X₃ ∧ X₁ ≤ 2+X₀ ∧ X₁ ≤ 2+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_random2d_1: [1+X₂-X₀]
• eval_random2d_2: [1+X₂-X₀]
• eval_random2d_LeafBlock1_in: [X₂-1-X₃]
• eval_random2d_LeafBlock3_in: [X₂-X₀]
• eval_random2d_LeafBlock5_in: [X₂-X₀]
• eval_random2d_LeafBlock_in: [X₂-X₀]
• eval_random2d_NodeBlock7_in: [X₂-X₀]
• eval_random2d_NodeBlock9_in: [X₂-X₀]
• eval_random2d_NodeBlock_in: [X₂-1-X₃]
• eval_random2d_bb1_in: [X₂-X₃]
• eval_random2d_bb2_in: [X₂-X₃]
• eval_random2d_bb3_in: [1+X₂-X₀]
• eval_random2d_bb4_in: [X₂-X₀]
• eval_random2d_bb5_in: [X₂-1-X₃]
• eval_random2d_bb6_in: [X₂-X₀]
• eval_random2d_bb7_in: [X₂-X₀]

MPRF for transition t₁₁: eval_random2d_NodeBlock9_in(X₀, X₁, X₂, X₃) → eval_random2d_NodeBlock_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 1 ∧ X₁ ≤ 3 ∧ X₁ ≤ 3+X₃ ∧ X₁ ≤ 2+X₀ ∧ X₁ ≤ 2+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_random2d_1: [X₂-X₃]
• eval_random2d_2: [1+X₂-X₀]
• eval_random2d_LeafBlock1_in: [X₂-1-X₃]
• eval_random2d_LeafBlock3_in: [X₂-X₃]
• eval_random2d_LeafBlock5_in: [X₂-X₃]
• eval_random2d_LeafBlock_in: [X₂-X₀]
• eval_random2d_NodeBlock7_in: [X₂-X₃]
• eval_random2d_NodeBlock9_in: [1+X₂-X₀]
• eval_random2d_NodeBlock_in: [X₂-X₀]
• eval_random2d_bb1_in: [X₂-X₃]
• eval_random2d_bb2_in: [X₂-X₃]
• eval_random2d_bb3_in: [1+X₂-X₀]
• eval_random2d_bb4_in: [X₂-X₀]
• eval_random2d_bb5_in: [X₂-X₀]
• eval_random2d_bb6_in: [X₂-X₃]
• eval_random2d_bb7_in: [X₂-X₃]

MPRF for transition t₁₂: eval_random2d_NodeBlock9_in(X₀, X₁, X₂, X₃) → eval_random2d_NodeBlock7_in(X₀, X₁, X₂, X₃) :|: 2 ≤ X₁ ∧ X₁ ≤ 3 ∧ X₁ ≤ 3+X₃ ∧ X₁ ≤ 2+X₀ ∧ X₁ ≤ 2+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_random2d_1: [X₂-X₃]
• eval_random2d_2: [1+X₂-X₀]
• eval_random2d_LeafBlock1_in: [X₂-X₃]
• eval_random2d_LeafBlock3_in: [X₂-X₀]
• eval_random2d_LeafBlock5_in: [X₂-X₀]
• eval_random2d_LeafBlock_in: [X₂-X₃]
• eval_random2d_NodeBlock7_in: [X₂-X₀]
• eval_random2d_NodeBlock9_in: [1+X₂-X₀]
• eval_random2d_NodeBlock_in: [1+X₂-X₀]
• eval_random2d_bb1_in: [X₂-X₃]
• eval_random2d_bb2_in: [X₂-X₃]
• eval_random2d_bb3_in: [1+X₂-X₀]
• eval_random2d_bb4_in: [X₂-X₃]
• eval_random2d_bb5_in: [1+X₂-X₀]
• eval_random2d_bb6_in: [X₂-X₀]
• eval_random2d_bb7_in: [X₂-X₀]

MPRF for transition t₁₃: eval_random2d_NodeBlock_in(X₀, X₁, X₂, X₃) → eval_random2d_LeafBlock_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_random2d_1: [1+X₂-X₀]
• eval_random2d_2: [1+X₂-X₀]
• eval_random2d_LeafBlock1_in: [X₂-X₃]
• eval_random2d_LeafBlock3_in: [X₂-X₃]
• eval_random2d_LeafBlock5_in: [X₂-X₃]
• eval_random2d_LeafBlock_in: [X₂-1-X₃]
• eval_random2d_NodeBlock7_in: [X₂-X₃]
• eval_random2d_NodeBlock9_in: [X₂-X₃]
• eval_random2d_NodeBlock_in: [X₂-X₃]
• eval_random2d_bb1_in: [X₂-X₃]
• eval_random2d_bb2_in: [X₂-X₃]
• eval_random2d_bb3_in: [1+X₂-X₀]
• eval_random2d_bb4_in: [X₂-X₀]
• eval_random2d_bb5_in: [X₂-X₃]
• eval_random2d_bb6_in: [X₂-X₃]
• eval_random2d_bb7_in: [X₂-X₃]

MPRF for transition t₁₄: eval_random2d_NodeBlock_in(X₀, X₁, X₂, X₃) → eval_random2d_LeafBlock1_in(X₀, X₁, X₂, X₃) :|: 1 ≤ X₁ ∧ X₀ ≤ 1+X₃ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₂ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₁ ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_random2d_1: [1+X₂-X₀]
• eval_random2d_2: [1+X₂-X₀]
• eval_random2d_LeafBlock1_in: [X₂-1-X₃]
• eval_random2d_LeafBlock3_in: [X₂-X₃]
• eval_random2d_LeafBlock5_in: [X₂-X₃]
• eval_random2d_LeafBlock_in: [1+X₂-X₀]
• eval_random2d_NodeBlock7_in: [X₂-X₃]
• eval_random2d_NodeBlock9_in: [X₂-X₃]
• eval_random2d_NodeBlock_in: [X₂-X₃]
• eval_random2d_bb1_in: [X₂-X₃]
• eval_random2d_bb2_in: [X₂-X₃]
• eval_random2d_bb3_in: [X₂-X₃]
• eval_random2d_bb4_in: [1+X₂-X₀]
• eval_random2d_bb5_in: [X₂-X₀]
• eval_random2d_bb6_in: [X₂-X₀]
• eval_random2d_bb7_in: [X₂-X₃]

MPRF for transition t₁₅: eval_random2d_LeafBlock_in(X₀, X₁, X₂, X₃) → eval_random2d_bb4_in(X₀, X₁, X₂, X₃) :|: 0 ≤ X₁ ∧ X₁ ≤ 0 ∧ X₀ ≤ 1+X₃ ∧ 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 ∧ X₁ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂+1 {O(n)}

• eval_random2d_1: [1+X₂-X₃]
• eval_random2d_2: [1+X₂-X₃]
• eval_random2d_LeafBlock1_in: [X₀+X₂-2⋅X₃]
• eval_random2d_LeafBlock3_in: [X₁+X₂-X₀]
• eval_random2d_LeafBlock5_in: [1+X₂-X₀]
• eval_random2d_LeafBlock_in: [1+X₂-X₃]
• eval_random2d_NodeBlock7_in: [2+X₂-X₀]
• eval_random2d_NodeBlock9_in: [2+X₂-X₀]
• eval_random2d_NodeBlock_in: [X₀+X₂-2⋅X₃]
• eval_random2d_bb1_in: [1+X₂-X₃]
• eval_random2d_bb2_in: [1+X₂-X₃]
• eval_random2d_bb3_in: [1+X₂-X₃]
• eval_random2d_bb4_in: [X₂-X₃]
• eval_random2d_bb5_in: [X₀+X₂-2⋅X₃]
• eval_random2d_bb6_in: [X₁+X₂-X₀]
• eval_random2d_bb7_in: [1+X₂-X₀]

MPRF for transition t₁₈: eval_random2d_bb4_in(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀) :|: X₀ ≤ 1+X₃ ∧ 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 ∧ 0 ≤ X₁+X₃ ∧ X₁ ≤ 0 ∧ X₁ ≤ X₃ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_random2d_1: [1+X₂-X₀]
• eval_random2d_2: [1+X₂-X₀]
• eval_random2d_LeafBlock1_in: [X₂-X₃]
• eval_random2d_LeafBlock3_in: [1+X₂-X₀]
• eval_random2d_LeafBlock5_in: [X₂-X₃]
• eval_random2d_LeafBlock_in: [1+X₂-X₀]
• eval_random2d_NodeBlock7_in: [X₂-X₃]
• eval_random2d_NodeBlock9_in: [X₂-X₃]
• eval_random2d_NodeBlock_in: [X₂-X₃]
• eval_random2d_bb1_in: [X₂-X₃]
• eval_random2d_bb2_in: [X₂-X₃]
• eval_random2d_bb3_in: [X₂-X₃]
• eval_random2d_bb4_in: [1+X₂-X₀]
• eval_random2d_bb5_in: [X₂-X₃]
• eval_random2d_bb6_in: [1+X₂-X₀]
• eval_random2d_bb7_in: [X₂-X₃]

MPRF for transition t₁₉: eval_random2d_LeafBlock1_in(X₀, X₁, X₂, X₃) → eval_random2d_bb5_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 1 ∧ 1 ≤ X₁ ∧ X₀ ≤ 1+X₃ ∧ X₁ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_random2d_1: [1+X₂-X₀]
• eval_random2d_2: [X₂-X₃]
• eval_random2d_LeafBlock1_in: [X₂-X₃]
• eval_random2d_LeafBlock3_in: [X₂-X₃]
• eval_random2d_LeafBlock5_in: [X₂-X₃]
• eval_random2d_LeafBlock_in: [1+X₂-X₀]
• eval_random2d_NodeBlock7_in: [X₂-X₃]
• eval_random2d_NodeBlock9_in: [X₂-X₃]
• eval_random2d_NodeBlock_in: [1+X₂-X₀]
• eval_random2d_bb1_in: [X₂-X₃]
• eval_random2d_bb2_in: [X₂-X₃]
• eval_random2d_bb3_in: [X₂-X₃]
• eval_random2d_bb4_in: [1+X₂-X₀]
• eval_random2d_bb5_in: [X₂-1-X₃]
• eval_random2d_bb6_in: [X₂-X₃]
• eval_random2d_bb7_in: [X₂-X₀]

MPRF for transition t₂₂: eval_random2d_bb5_in(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀) :|: X₀ ≤ 1+X₃ ∧ X₁ ≤ 1 ∧ X₁ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₃ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₁ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁+X₂ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₂ ∧ X₁ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_random2d_1: [1+X₂-X₀]
• eval_random2d_2: [1+X₂-X₀]
• eval_random2d_LeafBlock1_in: [X₂-X₃]
• eval_random2d_LeafBlock3_in: [X₂-X₃]
• eval_random2d_LeafBlock5_in: [X₂-X₀]
• eval_random2d_LeafBlock_in: [X₂-X₃]
• eval_random2d_NodeBlock7_in: [X₂-X₃]
• eval_random2d_NodeBlock9_in: [X₂-X₃]
• eval_random2d_NodeBlock_in: [X₂-X₃]
• eval_random2d_bb1_in: [X₂-X₃]
• eval_random2d_bb2_in: [X₂-X₃]
• eval_random2d_bb3_in: [1+X₂-X₀]
• eval_random2d_bb4_in: [X₂-X₃]
• eval_random2d_bb5_in: [1+X₂-X₀]
• eval_random2d_bb6_in: [X₂-X₃]
• eval_random2d_bb7_in: [X₂-X₀]

MPRF for transition t₂₃: eval_random2d_NodeBlock7_in(X₀, X₁, X₂, X₃) → eval_random2d_LeafBlock3_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 2 ∧ X₁ ≤ 3 ∧ X₁ ≤ 3+X₃ ∧ X₁ ≤ 2+X₀ ∧ X₁ ≤ 2+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_random2d_1: [1+X₂-X₀]
• eval_random2d_2: [X₂-X₃]
• eval_random2d_LeafBlock1_in: [X₀+X₂-X₁-2⋅X₃]
• eval_random2d_LeafBlock3_in: [X₂-1-X₃]
• eval_random2d_LeafBlock5_in: [X₂-X₃]
• eval_random2d_LeafBlock_in: [X₂-X₃]
• eval_random2d_NodeBlock7_in: [X₂-X₃]
• eval_random2d_NodeBlock9_in: [1+X₂-X₀]
• eval_random2d_NodeBlock_in: [X₂-X₃]
• eval_random2d_bb1_in: [X₂-X₃]
• eval_random2d_bb2_in: [X₂-X₃]
• eval_random2d_bb3_in: [X₂-X₃]
• eval_random2d_bb4_in: [1+X₂-X₀]
• eval_random2d_bb5_in: [1+X₂-X₁-X₃]
• eval_random2d_bb6_in: [X₂-X₀]
• eval_random2d_bb7_in: [X₂-X₀]

MPRF for transition t₂₄: eval_random2d_NodeBlock7_in(X₀, X₁, X₂, X₃) → eval_random2d_LeafBlock5_in(X₀, X₁, X₂, X₃) :|: 3 ≤ X₁ ∧ X₁ ≤ 3 ∧ X₁ ≤ 3+X₃ ∧ X₁ ≤ 2+X₀ ∧ X₁ ≤ 2+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂+1 {O(n)}

• eval_random2d_1: [1+X₂-X₃]
• eval_random2d_2: [1+X₂-X₃]
• eval_random2d_LeafBlock1_in: [X₀+X₂-2⋅X₃]
• eval_random2d_LeafBlock3_in: [X₀+X₂-2⋅X₃]
• eval_random2d_LeafBlock5_in: [1+X₂-X₀]
• eval_random2d_LeafBlock_in: [X₀+X₂-2⋅X₃]
• eval_random2d_NodeBlock7_in: [2+X₂-X₀]
• eval_random2d_NodeBlock9_in: [X₀+X₂-2⋅X₃]
• eval_random2d_NodeBlock_in: [X₀+X₂-2⋅X₃]
• eval_random2d_bb1_in: [1+X₂-X₃]
• eval_random2d_bb2_in: [1+X₂-X₃]
• eval_random2d_bb3_in: [1+X₂-X₃]
• eval_random2d_bb4_in: [X₀+X₂-2⋅X₃]
• eval_random2d_bb5_in: [X₀+X₂-2⋅X₃]
• eval_random2d_bb6_in: [X₀+X₂-2⋅X₃]
• eval_random2d_bb7_in: [1+X₂-X₀]

MPRF for transition t₂₅: eval_random2d_LeafBlock3_in(X₀, X₁, X₂, X₃) → eval_random2d_bb6_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 2 ∧ 2 ≤ X₁ ∧ X₁ ≤ 2+X₃ ∧ X₁ ≤ 1+X₀ ∧ X₀ ≤ 1+X₃ ∧ X₁ ≤ 1+X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_random2d_1: [X₂-X₃]
• eval_random2d_2: [X₂-X₃]
• eval_random2d_LeafBlock1_in: [X₂-1-X₃]
• eval_random2d_LeafBlock3_in: [X₂-X₃]
• eval_random2d_LeafBlock5_in: [X₂-X₀]
• eval_random2d_LeafBlock_in: [X₂-1-X₃]
• eval_random2d_NodeBlock7_in: [1+X₂-X₀]
• eval_random2d_NodeBlock9_in: [X₂-X₃]
• eval_random2d_NodeBlock_in: [X₂-1-X₃]
• eval_random2d_bb1_in: [X₂-X₃]
• eval_random2d_bb2_in: [X₂-X₃]
• eval_random2d_bb3_in: [1+X₂-X₀]
• eval_random2d_bb4_in: [X₂-X₀]
• eval_random2d_bb5_in: [X₂-X₀]
• eval_random2d_bb6_in: [X₂-1-X₃]
• eval_random2d_bb7_in: [X₂-X₀]

MPRF for transition t₂₈: eval_random2d_bb6_in(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀) :|: X₁ ≤ 2 ∧ X₁ ≤ 2+X₃ ∧ X₁ ≤ 1+X₀ ∧ X₀ ≤ 1+X₃ ∧ X₁ ≤ 1+X₂ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 2 ≤ X₁ ∧ 2 ≤ X₁+X₃ ∧ 3 ≤ X₀+X₁ ∧ 3 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_random2d_1: [X₂-X₃]
• eval_random2d_2: [1+X₂-X₀]
• eval_random2d_LeafBlock1_in: [X₂-X₀]
• eval_random2d_LeafBlock3_in: [X₂-X₃]
• eval_random2d_LeafBlock5_in: [X₂-X₀]
• eval_random2d_LeafBlock_in: [X₂-X₀]
• eval_random2d_NodeBlock7_in: [X₂-X₃]
• eval_random2d_NodeBlock9_in: [1+X₂-X₀]
• eval_random2d_NodeBlock_in: [X₂-X₃]
• eval_random2d_bb1_in: [X₂-X₃]
• eval_random2d_bb2_in: [X₂-X₃]
• eval_random2d_bb3_in: [1+X₂-X₀]
• eval_random2d_bb4_in: [X₂-X₀]
• eval_random2d_bb5_in: [X₂-1-X₃]
• eval_random2d_bb6_in: [1+X₂-X₀]
• eval_random2d_bb7_in: [X₂-X₀]

MPRF for transition t₂₉: eval_random2d_LeafBlock5_in(X₀, X₁, X₂, X₃) → eval_random2d_bb7_in(X₀, X₁, X₂, X₃) :|: X₁ ≤ 3 ∧ 3 ≤ X₁ ∧ X₁ ≤ 3+X₃ ∧ X₁ ≤ 2+X₀ ∧ X₁ ≤ 2+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 3 ≤ X₁+X₃ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂+1 {O(n)}

• eval_random2d_1: [2+X₂-X₀]
• eval_random2d_2: [1+X₂-X₃]
• eval_random2d_LeafBlock1_in: [1+X₂-X₀]
• eval_random2d_LeafBlock3_in: [1+X₂-X₃]
• eval_random2d_LeafBlock5_in: [2+X₂-X₀]
• eval_random2d_LeafBlock_in: [X₂-X₃]
• eval_random2d_NodeBlock7_in: [X₀+X₂-2⋅X₃]
• eval_random2d_NodeBlock9_in: [1+X₂-X₃]
• eval_random2d_NodeBlock_in: [X₂-X₃]
• eval_random2d_bb1_in: [1+X₂-X₃]
• eval_random2d_bb2_in: [1+X₂-X₃]
• eval_random2d_bb3_in: [1+X₂-X₃]
• eval_random2d_bb4_in: [X₂-X₃]
• eval_random2d_bb5_in: [1+X₂-X₀]
• eval_random2d_bb6_in: [1+X₂-X₃]
• eval_random2d_bb7_in: [1+X₂-X₀]

MPRF for transition t₃₂: eval_random2d_bb7_in(X₀, X₁, X₂, X₃) → eval_random2d_bb1_in(X₀, X₁, X₂, X₀) :|: X₁ ≤ 3 ∧ X₁ ≤ 3+X₃ ∧ X₁ ≤ 2+X₀ ∧ X₁ ≤ 2+X₂ ∧ X₀ ≤ 1+X₃ ∧ 1 ≤ X₀ ∧ 1 ≤ X₀+X₃ ∧ 1+X₃ ≤ X₀ ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₃ ∧ 1+X₃ ≤ X₂ ∧ 2 ≤ X₀+X₂ ∧ 3 ≤ X₁ ∧ 3 ≤ X₁+X₃ ∧ 4 ≤ X₀+X₁ ∧ 4 ≤ X₁+X₂ ∧ X₀ ≤ X₂ ∧ 0 ≤ X₃ of depth 1:

new bound:

X₂ {O(n)}

• eval_random2d_1: [1+X₂-X₀]
• eval_random2d_2: [X₂-X₃]
• eval_random2d_LeafBlock1_in: [X₂-X₃]
• eval_random2d_LeafBlock3_in: [X₂-X₃]
• eval_random2d_LeafBlock5_in: [X₂-X₃]
• eval_random2d_LeafBlock_in: [X₂-X₃]
• eval_random2d_NodeBlock7_in: [X₂-X₃]
• eval_random2d_NodeBlock9_in: [1+X₂-X₀]
• eval_random2d_NodeBlock_in: [X₂-X₃]
• eval_random2d_bb1_in: [X₂-X₃]
• eval_random2d_bb2_in: [X₂-X₃]
• eval_random2d_bb3_in: [X₂-X₃]
• eval_random2d_bb4_in: [X₂-X₀]
• eval_random2d_bb5_in: [X₂-X₃]
• eval_random2d_bb6_in: [X₂-X₀]
• eval_random2d_bb7_in: [1+X₂-X₀]

All Bounds

Timebounds

Overall timebound:21⋅X₂+7 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₂ {O(n)}
t₃: 1 {O(1)}
t₄: X₂ {O(n)}
t₆: X₂ {O(n)}
t₇: X₂ {O(n)}
t₈: X₂ {O(n)}
t₉: X₂ {O(n)}
t₁₀: X₂ {O(n)}
t₁₁: X₂ {O(n)}
t₁₂: X₂ {O(n)}
t₁₃: X₂ {O(n)}
t₁₄: X₂ {O(n)}
t₁₅: X₂+1 {O(n)}
t₁₈: X₂ {O(n)}
t₁₉: X₂ {O(n)}
t₂₂: X₂ {O(n)}
t₂₃: X₂ {O(n)}
t₂₄: X₂+1 {O(n)}
t₂₅: X₂ {O(n)}
t₂₈: X₂ {O(n)}
t₂₉: X₂+1 {O(n)}
t₃₂: X₂ {O(n)}
t₃₄: 1 {O(1)}

Costbounds

Overall costbound: 21⋅X₂+7 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₂ {O(n)}
t₃: 1 {O(1)}
t₄: X₂ {O(n)}
t₆: X₂ {O(n)}
t₇: X₂ {O(n)}
t₈: X₂ {O(n)}
t₉: X₂ {O(n)}
t₁₀: X₂ {O(n)}
t₁₁: X₂ {O(n)}
t₁₂: X₂ {O(n)}
t₁₃: X₂ {O(n)}
t₁₄: X₂ {O(n)}
t₁₅: X₂+1 {O(n)}
t₁₈: X₂ {O(n)}
t₁₉: X₂ {O(n)}
t₂₂: X₂ {O(n)}
t₂₃: X₂ {O(n)}
t₂₄: X₂+1 {O(n)}
t₂₅: X₂ {O(n)}
t₂₈: X₂ {O(n)}
t₂₉: X₂+1 {O(n)}
t₃₂: X₂ {O(n)}
t₃₄: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₀, X₂: X₂ {O(n)}
t₀, X₃: X₃ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: 0 {O(1)}
t₂, X₀: 6⋅X₂+X₀ {O(n)}
t₂, X₂: X₂ {O(n)}
t₂, X₃: X₂ {O(n)}
t₃, X₀: 6⋅X₂+X₀ {O(n)}
t₃, X₂: 7⋅X₂ {O(n)}
t₃, X₃: 6⋅X₂ {O(n)}
t₄, X₀: X₂ {O(n)}
t₄, X₂: X₂ {O(n)}
t₄, X₃: X₂ {O(n)}
t₆, X₀: X₂ {O(n)}
t₆, X₂: X₂ {O(n)}
t₆, X₃: X₂ {O(n)}
t₇, X₀: X₂ {O(n)}
t₇, X₁: 3 {O(1)}
t₇, X₂: X₂ {O(n)}
t₇, X₃: X₂ {O(n)}
t₈, X₀: X₂ {O(n)}
t₈, X₂: X₂ {O(n)}
t₈, X₃: X₂ {O(n)}
t₉, X₀: X₂ {O(n)}
t₉, X₂: X₂ {O(n)}
t₉, X₃: X₂ {O(n)}
t₁₀, X₀: X₂ {O(n)}
t₁₀, X₁: 3 {O(1)}
t₁₀, X₂: X₂ {O(n)}
t₁₀, X₃: X₂ {O(n)}
t₁₁, X₀: X₂ {O(n)}
t₁₁, X₁: 1 {O(1)}
t₁₁, X₂: X₂ {O(n)}
t₁₁, X₃: X₂ {O(n)}
t₁₂, X₀: X₂ {O(n)}
t₁₂, X₁: 3 {O(1)}
t₁₂, X₂: X₂ {O(n)}
t₁₂, X₃: X₂ {O(n)}
t₁₃, X₀: X₂ {O(n)}
t₁₃, X₁: 0 {O(1)}
t₁₃, X₂: X₂ {O(n)}
t₁₃, X₃: X₂ {O(n)}
t₁₄, X₀: X₂ {O(n)}
t₁₄, X₁: 1 {O(1)}
t₁₄, X₂: X₂ {O(n)}
t₁₄, X₃: X₂ {O(n)}
t₁₅, X₀: X₂ {O(n)}
t₁₅, X₁: 0 {O(1)}
t₁₅, X₂: X₂ {O(n)}
t₁₅, X₃: X₂ {O(n)}
t₁₈, X₀: X₂ {O(n)}
t₁₈, X₁: 0 {O(1)}
t₁₈, X₂: X₂ {O(n)}
t₁₈, X₃: X₂ {O(n)}
t₁₉, X₀: X₂ {O(n)}
t₁₉, X₁: 1 {O(1)}
t₁₉, X₂: X₂ {O(n)}
t₁₉, X₃: X₂ {O(n)}
t₂₂, X₀: X₂ {O(n)}
t₂₂, X₁: 1 {O(1)}
t₂₂, X₂: X₂ {O(n)}
t₂₂, X₃: X₂ {O(n)}
t₂₃, X₀: X₂ {O(n)}
t₂₃, X₁: 2 {O(1)}
t₂₃, X₂: X₂ {O(n)}
t₂₃, X₃: X₂ {O(n)}
t₂₄, X₀: X₂ {O(n)}
t₂₄, X₁: 3 {O(1)}
t₂₄, X₂: X₂ {O(n)}
t₂₄, X₃: X₂ {O(n)}
t₂₅, X₀: X₂ {O(n)}
t₂₅, X₁: 2 {O(1)}
t₂₅, X₂: X₂ {O(n)}
t₂₅, X₃: X₂ {O(n)}
t₂₈, X₀: X₂ {O(n)}
t₂₈, X₁: 2 {O(1)}
t₂₈, X₂: X₂ {O(n)}
t₂₈, X₃: X₂ {O(n)}
t₂₉, X₀: X₂ {O(n)}
t₂₉, X₁: 3 {O(1)}
t₂₉, X₂: X₂ {O(n)}
t₂₉, X₃: X₂ {O(n)}
t₃₂, X₀: X₂ {O(n)}
t₃₂, X₁: 3 {O(1)}
t₃₂, X₂: X₂ {O(n)}
t₃₂, X₃: X₂ {O(n)}
t₃₄, X₀: 6⋅X₂+X₀ {O(n)}
t₃₄, X₂: 7⋅X₂ {O(n)}
t₃₄, X₃: 6⋅X₂ {O(n)}