KoAT2 Proof Output

Initial Problem

Start: eval_sendMTFValues_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef.0, nondef.1
Locations: eval_sendMTFValues_.critedge_in, eval_sendMTFValues_2, eval_sendMTFValues_3, eval_sendMTFValues_bb0_in, eval_sendMTFValues_bb1_in, eval_sendMTFValues_bb2_in, eval_sendMTFValues_bb3_in, eval_sendMTFValues_bb4_in, eval_sendMTFValues_bb5_in, eval_sendMTFValues_bb6_in, eval_sendMTFValues_bb7_in, eval_sendMTFValues_start, eval_sendMTFValues_stop
Transitions:
t₁₃: eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₄ ≤ X₂ ∧ 1+X₆ ≤ X₅ ∧ X₆ ≤ 0
t₁₄: eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₄ ≤ X₂ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₆
t₁₅: eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₄ ≤ X₂ ∧ 1+X₅ ≤ X₆ ∧ X₆ ≤ 0
t₁₆: eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₄ ≤ X₂ ∧ 1+X₅ ≤ X₆ ∧ 2 ≤ X₆
t₁₇: eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₂ ≤ X₄
t₁₈: eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₁₉: eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₆ ≤ 1 ∧ 1 ≤ X₆
t₇: eval_sendMTFValues_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_3(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₀: eval_sendMTFValues_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₀ ∧ X₀ ≤ 0
t₁₁: eval_sendMTFValues_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁ ≤ 1+X₂
t₈: eval_sendMTFValues_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₀ ≤ 0 ∧ 2+X₂ ≤ X₁
t₉: eval_sendMTFValues_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 2+X₂ ≤ X₁
t₁: eval_sendMTFValues_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb1_in(X₀, X₁, X₂, X₃, 0, X₅, X₅)
t₂: eval_sendMTFValues_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₆
t₃: eval_sendMTFValues_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₆ ≤ 0
t₄: eval_sendMTFValues_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb3_in(X₀, X₁, X₄-1, X₃, X₄, X₅, X₆)
t₅: eval_sendMTFValues_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₁₂: eval_sendMTFValues_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb3_in(X₀, X₁, 1+X₂, X₃, X₄, X₅, X₆)
t₂₀: eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂-1, X₄, X₅, X₆) :|: nondef.1 ≤ 1 ∧ 1 ≤ nondef.1 ∧ 0 ≤ nondef.1 ∧ nondef.1 ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₂₁: eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂-1, X₄, X₅, X₆) :|: nondef.1 ≤ 1 ∧ 1 ≤ nondef.1 ∧ 1+X₆ ≤ X₅ ∧ 0 ≤ nondef.1
t₂₂: eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂-1, X₄, X₅, X₆) :|: 0 ≤ 1+nondef.1 ∧ nondef.1 ≤ 1 ∧ 1 ≤ nondef.1 ∧ 1+X₅ ≤ X₆ ∧ nondef.1 ≤ 0
t₂₃: eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: 0 ≤ nondef.1 ∧ nondef.1 ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₂₄: eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: 2 ≤ nondef.1 ∧ 0 ≤ nondef.1 ∧ nondef.1 ≤ 0 ∧ X₆ ≤ X₅ ∧ X₅ ≤ X₆
t₂₅: eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: nondef.1 ≤ 1 ∧ 1+X₆ ≤ X₅ ∧ 0 ≤ nondef.1 ∧ nondef.1 ≤ 0
t₂₆: eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: nondef.1 ≤ 1 ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ nondef.1 ∧ 0 ≤ nondef.1
t₂₇: eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: 0 ≤ 1+nondef.1 ∧ 1+X₅ ≤ X₆ ∧ nondef.1 ≤ 0
t₂₈: eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: 0 ≤ 1+nondef.1 ∧ 1+X₅ ≤ X₆ ∧ 2 ≤ nondef.1 ∧ nondef.1 ≤ 0
t₂₉: eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb1_in(X₀, X₁, X₂, X₃, 1+X₃, X₅, X₆-1)
t₃₀: eval_sendMTFValues_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆)
t₀: eval_sendMTFValues_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

Preprocessing

Cut unsatisfiable transition [t₂₀: eval_sendMTFValues_bb5_in→eval_sendMTFValues_bb6_in; t₂₂: eval_sendMTFValues_bb5_in→eval_sendMTFValues_bb6_in; t₂₃: eval_sendMTFValues_bb5_in→eval_sendMTFValues_bb6_in; t₂₄: eval_sendMTFValues_bb5_in→eval_sendMTFValues_bb6_in; t₂₆: eval_sendMTFValues_bb5_in→eval_sendMTFValues_bb6_in; t₂₈: eval_sendMTFValues_bb5_in→eval_sendMTFValues_bb6_in]

Found invariant X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂ for location eval_sendMTFValues_3

Found invariant X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 2 ≤ X₁+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ 2 ≤ X₁+X₅ ∧ X₄ ≤ 1+X₂ ∧ 1+X₄ ≤ X₁ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 1 ≤ X₁+X₄ ∧ 2+X₂ ≤ X₁ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ X₁+X₂ ∧ 1 ≤ X₁ for location eval_sendMTFValues_bb4_in

Found invariant 1+X₆ ≤ X₅ ∧ 2 ≤ X₆ ∧ 5 ≤ X₅+X₆ ∧ 2 ≤ X₄+X₆ ∧ 3 ≤ X₂+X₆ ∧ 3 ≤ X₅ ∧ 3 ≤ X₄+X₅ ∧ 4 ≤ X₂+X₅ ∧ 1+X₄ ≤ X₂ ∧ 0 ≤ X₄ ∧ 1 ≤ X₂+X₄ ∧ 1 ≤ X₂ for location eval_sendMTFValues_bb5_in

Found invariant X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂ for location eval_sendMTFValues_2

Found invariant X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₄ for location eval_sendMTFValues_bb2_in

Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ 0 ≤ X₄ for location eval_sendMTFValues_stop

Found invariant X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₃ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₃+X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ X₃ ≤ X₂ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 2+X₂+X₃ ∧ X₂ ≤ 1+X₃ ∧ 0 ≤ 1+X₂ for location eval_sendMTFValues_bb6_in

Found invariant X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂ for location eval_sendMTFValues_.critedge_in

Found invariant X₆ ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 1 ≤ X₄+X₆ ∧ 0 ≤ X₂+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₄+X₅ ∧ 0 ≤ X₂+X₅ ∧ X₄ ≤ 1+X₂ ∧ 0 ≤ X₄ ∧ 0 ≤ 1+X₂+X₄ ∧ 0 ≤ 1+X₂ for location eval_sendMTFValues_bb3_in

Found invariant X₆ ≤ 0 ∧ X₆ ≤ X₅ ∧ X₆ ≤ X₄ ∧ 0 ≤ X₄ for location eval_sendMTFValues_bb7_in

Found invariant X₆ ≤ X₅ ∧ 0 ≤ X₄ for location eval_sendMTFValues_bb1_in

Cut unsatisfiable transition [t₁₃: eval_sendMTFValues_.critedge_in→eval_sendMTFValues_bb5_in; t₁₅: eval_sendMTFValues_.critedge_in→eval_sendMTFValues_bb5_in; t₁₆: eval_sendMTFValues_.critedge_in→eval_sendMTFValues_bb5_in; t₂₇: eval_sendMTFValues_bb5_in→eval_sendMTFValues_bb6_in]

Problem after Preprocessing

Start: eval_sendMTFValues_start
Program_Vars: X₀, X₁, X₂, X₃, X₄, X₅, X₆
Temp_Vars: nondef.0, nondef.1
Locations: eval_sendMTFValues_.critedge_in, eval_sendMTFValues_2, eval_sendMTFValues_3, eval_sendMTFValues_bb0_in, eval_sendMTFValues_bb1_in, eval_sendMTFValues_bb2_in, eval_sendMTFValues_bb3_in, eval_sendMTFValues_bb4_in, eval_sendMTFValues_bb5_in, eval_sendMTFValues_bb6_in, eval_sendMTFValues_bb7_in, eval_sendMTFValues_start, eval_sendMTFValues_stop
Transitions:
t₁₄: eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₄ ≤ X₂ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₆ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅
t₁₇: eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₂ ≤ X₄ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅
t₁₈: eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄
t₁₉: eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₆ ≤ 1 ∧ 1 ≤ X₆ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅
t₇: eval_sendMTFValues_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_3(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅
t₁₀: eval_sendMTFValues_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅
t₁₁: eval_sendMTFValues_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁ ≤ 1+X₂ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅
t₈: eval_sendMTFValues_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₀ ≤ 0 ∧ 2+X₂ ≤ X₁ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅
t₉: eval_sendMTFValues_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 2+X₂ ≤ X₁ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅
t₁: eval_sendMTFValues_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb1_in(X₀, X₁, X₂, X₃, 0, X₅, X₅)
t₂: eval_sendMTFValues_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅
t₃: eval_sendMTFValues_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₆ ≤ 0 ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅
t₄: eval_sendMTFValues_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb3_in(X₀, X₁, X₄-1, X₃, X₄, X₅, X₆) :|: 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅
t₅: eval_sendMTFValues_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅
t₁₂: eval_sendMTFValues_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb3_in(X₀, X₁, 1+X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅
t₂₁: eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂-1, X₄, X₅, X₆) :|: nondef.1 ≤ 1 ∧ 1 ≤ nondef.1 ∧ 1+X₆ ≤ X₅ ∧ 0 ≤ nondef.1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ 5 ≤ X₅+X₆ ∧ 0 ≤ X₄
t₂₅: eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: nondef.1 ≤ 1 ∧ 1+X₆ ≤ X₅ ∧ 0 ≤ nondef.1 ∧ nondef.1 ≤ 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ 5 ≤ X₅+X₆ ∧ 0 ≤ X₄
t₂₉: eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb1_in(X₀, X₁, X₂, X₃, 1+X₃, X₅, X₆-1) :|: 0 ≤ 2+X₂+X₃ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₂ ≤ 1+X₃ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ X₄ ≤ 1+X₃ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅
t₃₀: eval_sendMTFValues_bb7_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_stop(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₄ ∧ X₆ ≤ X₄ ∧ X₆ ≤ X₅ ∧ X₆ ≤ 0
t₀: eval_sendMTFValues_start(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb0_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆)

MPRF for transition t₂: eval_sendMTFValues_bb1_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅ of depth 1:

new bound:

X₅ {O(n)}

MPRF:

• eval_sendMTFValues_.critedge_in: [X₆-1]
• eval_sendMTFValues_2: [X₆-1]
• eval_sendMTFValues_3: [X₆-1]
• eval_sendMTFValues_bb1_in: [X₆]
• eval_sendMTFValues_bb2_in: [X₆-1]
• eval_sendMTFValues_bb3_in: [X₆-1]
• eval_sendMTFValues_bb4_in: [X₆-1]
• eval_sendMTFValues_bb5_in: [X₆-1]
• eval_sendMTFValues_bb6_in: [X₆-1]

MPRF for transition t₄: eval_sendMTFValues_bb2_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb3_in(X₀, X₁, X₄-1, X₃, X₄, X₅, X₆) :|: 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅ of depth 1:

new bound:

X₅ {O(n)}

MPRF:

• eval_sendMTFValues_.critedge_in: [X₆-1]
• eval_sendMTFValues_2: [X₆-1]
• eval_sendMTFValues_3: [X₆-1]
• eval_sendMTFValues_bb1_in: [X₆]
• eval_sendMTFValues_bb2_in: [X₆]
• eval_sendMTFValues_bb3_in: [X₆-1]
• eval_sendMTFValues_bb4_in: [X₆-1]
• eval_sendMTFValues_bb5_in: [X₆-1]
• eval_sendMTFValues_bb6_in: [X₆-1]

MPRF for transition t₈: eval_sendMTFValues_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₀ ≤ 0 ∧ 2+X₂ ≤ X₁ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅ of depth 1:

new bound:

X₁+X₅+1 {O(n)}

MPRF:

• eval_sendMTFValues_.critedge_in: [X₁+X₆-2-X₂]
• eval_sendMTFValues_2: [X₁+X₆-2-X₂]
• eval_sendMTFValues_3: [X₁+X₆-2-X₂]
• eval_sendMTFValues_bb1_in: [X₁+X₆-1-X₄]
• eval_sendMTFValues_bb2_in: [X₁+X₆-1-X₄]
• eval_sendMTFValues_bb3_in: [X₁+X₆-2-X₂]
• eval_sendMTFValues_bb4_in: [X₁+X₆-3-X₂]
• eval_sendMTFValues_bb5_in: [X₁+X₆-2-X₂]
• eval_sendMTFValues_bb6_in: [X₁+X₆-2-X₂]

MPRF for transition t₉: eval_sendMTFValues_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1 ≤ X₀ ∧ 2+X₂ ≤ X₁ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅ of depth 1:

new bound:

2⋅X₁+1 {O(n)}

MPRF:

• eval_sendMTFValues_.critedge_in: [2⋅X₁-X₂-X₄]
• eval_sendMTFValues_2: [2⋅X₁-X₂-X₄]
• eval_sendMTFValues_3: [2⋅X₁-X₂-X₄]
• eval_sendMTFValues_bb1_in: [1+2⋅X₁-2⋅X₄]
• eval_sendMTFValues_bb2_in: [1+2⋅X₁-2⋅X₄]
• eval_sendMTFValues_bb3_in: [2⋅X₁-X₂-X₄]
• eval_sendMTFValues_bb4_in: [2⋅X₁-1-X₂-X₄]
• eval_sendMTFValues_bb5_in: [2⋅X₁-X₂-X₄]
• eval_sendMTFValues_bb6_in: [2⋅X₁-1-2⋅X₃]

MPRF for transition t₁₀: eval_sendMTFValues_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ X₀ ∧ X₀ ≤ 0 ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅ of depth 1:

new bound:

X₅ {O(n)}

MPRF:

• eval_sendMTFValues_.critedge_in: [X₆-1]
• eval_sendMTFValues_2: [X₆]
• eval_sendMTFValues_3: [X₆]
• eval_sendMTFValues_bb1_in: [X₆]
• eval_sendMTFValues_bb2_in: [X₆]
• eval_sendMTFValues_bb3_in: [X₆]
• eval_sendMTFValues_bb4_in: [X₆]
• eval_sendMTFValues_bb5_in: [X₆-1]
• eval_sendMTFValues_bb6_in: [X₆-1]

MPRF for transition t₁₁: eval_sendMTFValues_3(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: X₁ ≤ 1+X₂ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅ of depth 1:

new bound:

X₅ {O(n)}

MPRF:

MPRF for transition t₁₂: eval_sendMTFValues_bb4_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb3_in(X₀, X₁, 1+X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₁ ∧ 1 ≤ X₁+X₄ ∧ 1+X₄ ≤ X₁ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2+X₂ ≤ X₁ ∧ 2 ≤ X₁+X₅ ∧ 2 ≤ X₁+X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₁+X₂ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅ of depth 1:

new bound:

2⋅X₁+1 {O(n)}

MPRF:

• eval_sendMTFValues_.critedge_in: [2⋅X₁-2-X₂-X₄]
• eval_sendMTFValues_2: [2⋅X₁-2-X₂-X₄]
• eval_sendMTFValues_3: [2⋅X₁-2-X₂-X₄]
• eval_sendMTFValues_bb1_in: [2⋅X₁-1-2⋅X₄]
• eval_sendMTFValues_bb2_in: [2⋅X₁-1-2⋅X₄]
• eval_sendMTFValues_bb3_in: [2⋅X₁-2-X₂-X₄]
• eval_sendMTFValues_bb4_in: [2⋅X₁-2-X₂-X₄]
• eval_sendMTFValues_bb5_in: [2⋅X₁-2-X₂-X₄]
• eval_sendMTFValues_bb6_in: [2⋅X₁-3-2⋅X₃]

MPRF for transition t₁₄: eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 1+X₄ ≤ X₂ ∧ 1+X₆ ≤ X₅ ∧ 2 ≤ X₆ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅ of depth 1:

new bound:

X₅+1 {O(n)}

MPRF:

• eval_sendMTFValues_.critedge_in: [1+X₆]
• eval_sendMTFValues_2: [1+X₆]
• eval_sendMTFValues_3: [1+X₆]
• eval_sendMTFValues_bb1_in: [1+X₆]
• eval_sendMTFValues_bb2_in: [1+X₆]
• eval_sendMTFValues_bb3_in: [1+X₆]
• eval_sendMTFValues_bb4_in: [1+X₆]
• eval_sendMTFValues_bb5_in: [X₆]
• eval_sendMTFValues_bb6_in: [X₆]

MPRF for transition t₁₇: eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₂ ≤ X₄ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅ of depth 1:

new bound:

X₅ {O(n)}

MPRF:

• eval_sendMTFValues_.critedge_in: [X₆]
• eval_sendMTFValues_2: [X₆]
• eval_sendMTFValues_3: [X₆]
• eval_sendMTFValues_bb1_in: [X₆]
• eval_sendMTFValues_bb2_in: [X₆]
• eval_sendMTFValues_bb3_in: [X₆]
• eval_sendMTFValues_bb4_in: [X₆]
• eval_sendMTFValues_bb5_in: [X₆]
• eval_sendMTFValues_bb6_in: [X₆-1]

MPRF for transition t₁₈: eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₆ ≤ X₅ ∧ X₅ ≤ X₆ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ of depth 1:

new bound:

2⋅X₅+1 {O(n)}

MPRF:

• eval_sendMTFValues_.critedge_in: [1+X₆-X₅]
• eval_sendMTFValues_2: [1+X₆-X₅]
• eval_sendMTFValues_3: [1+X₆-X₅]
• eval_sendMTFValues_bb1_in: [1+X₆-X₅]
• eval_sendMTFValues_bb2_in: [1+X₆-X₅]
• eval_sendMTFValues_bb3_in: [1+X₆-X₅]
• eval_sendMTFValues_bb4_in: [1+X₆-X₅]
• eval_sendMTFValues_bb5_in: [X₆-X₅]
• eval_sendMTFValues_bb6_in: [X₆-X₅]

MPRF for transition t₁₉: eval_sendMTFValues_.critedge_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: X₆ ≤ 1 ∧ 1 ≤ X₆ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅ of depth 1:

new bound:

X₅ {O(n)}

MPRF:

MPRF for transition t₂₁: eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂-1, X₄, X₅, X₆) :|: nondef.1 ≤ 1 ∧ 1 ≤ nondef.1 ∧ 1+X₆ ≤ X₅ ∧ 0 ≤ nondef.1 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ 5 ≤ X₅+X₆ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₅+1 {O(n)}

MPRF:

MPRF for transition t₂₅: eval_sendMTFValues_bb5_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₂, X₄, X₅, X₆) :|: nondef.1 ≤ 1 ∧ 1+X₆ ≤ X₅ ∧ 0 ≤ nondef.1 ∧ nondef.1 ≤ 0 ∧ 1 ≤ X₂ ∧ 1 ≤ X₂+X₄ ∧ 1+X₄ ≤ X₂ ∧ 2 ≤ X₄+X₆ ∧ 2 ≤ X₆ ∧ 3 ≤ X₂+X₆ ∧ 3 ≤ X₄+X₅ ∧ 3 ≤ X₅ ∧ 4 ≤ X₂+X₅ ∧ 5 ≤ X₅+X₆ ∧ 0 ≤ X₄ of depth 1:

new bound:

X₅+1 {O(n)}

MPRF:

MPRF for transition t₂₉: eval_sendMTFValues_bb6_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_bb1_in(X₀, X₁, X₂, X₃, 1+X₃, X₅, X₆-1) :|: 0 ≤ 2+X₂+X₃ ∧ 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ X₂ ≤ 1+X₃ ∧ 0 ≤ 1+X₃ ∧ 0 ≤ 1+X₃+X₄ ∧ X₄ ≤ 1+X₃ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ X₃ ≤ X₂ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₃+X₅ ∧ 0 ≤ X₃+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅ of depth 1:

new bound:

X₅ {O(n)}

MPRF:

knowledge_propagation leads to new time bound 2⋅X₁+X₅+1 {O(n)} for transition t₅: eval_sendMTFValues_bb3_in(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅

knowledge_propagation leads to new time bound 2⋅X₁+X₅+1 {O(n)} for transition t₇: eval_sendMTFValues_2(X₀, X₁, X₂, X₃, X₄, X₅, X₆) → eval_sendMTFValues_3(nondef.0, X₁, X₂, X₃, X₄, X₅, X₆) :|: 0 ≤ 1+X₂ ∧ 0 ≤ 1+X₂+X₄ ∧ X₄ ≤ 1+X₂ ∧ 1 ≤ X₄+X₅ ∧ 1 ≤ X₄+X₆ ∧ 1 ≤ X₅ ∧ 1 ≤ X₆ ∧ 2 ≤ X₅+X₆ ∧ 0 ≤ X₂+X₅ ∧ 0 ≤ X₂+X₆ ∧ 0 ≤ X₄ ∧ X₆ ≤ X₅

All Bounds

Timebounds

Overall timebound:15⋅X₅+9⋅X₁+13 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₅ {O(n)}
t₃: 1 {O(1)}
t₄: X₅ {O(n)}
t₅: 2⋅X₁+X₅+1 {O(n)}
t₇: 2⋅X₁+X₅+1 {O(n)}
t₈: X₁+X₅+1 {O(n)}
t₉: 2⋅X₁+1 {O(n)}
t₁₀: X₅ {O(n)}
t₁₁: X₅ {O(n)}
t₁₂: 2⋅X₁+1 {O(n)}
t₁₄: X₅+1 {O(n)}
t₁₇: X₅ {O(n)}
t₁₈: 2⋅X₅+1 {O(n)}
t₁₉: X₅ {O(n)}
t₂₁: X₅+1 {O(n)}
t₂₅: X₅+1 {O(n)}
t₂₉: X₅ {O(n)}
t₃₀: 1 {O(1)}

Costbounds

Overall costbound: 15⋅X₅+9⋅X₁+13 {O(n)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: X₅ {O(n)}
t₃: 1 {O(1)}
t₄: X₅ {O(n)}
t₅: 2⋅X₁+X₅+1 {O(n)}
t₇: 2⋅X₁+X₅+1 {O(n)}
t₈: X₁+X₅+1 {O(n)}
t₉: 2⋅X₁+1 {O(n)}
t₁₀: X₅ {O(n)}
t₁₁: X₅ {O(n)}
t₁₂: 2⋅X₁+1 {O(n)}
t₁₄: X₅+1 {O(n)}
t₁₇: X₅ {O(n)}
t₁₈: 2⋅X₅+1 {O(n)}
t₁₉: X₅ {O(n)}
t₂₁: X₅+1 {O(n)}
t₂₅: X₅+1 {O(n)}
t₂₉: X₅ {O(n)}
t₃₀: 1 {O(1)}

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)}
t₀, X₅: X₅ {O(n)}
t₀, X₆: X₆ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₂: X₂ {O(n)}
t₁, X₃: X₃ {O(n)}
t₁, X₄: 0 {O(1)}
t₁, X₅: X₅ {O(n)}
t₁, X₆: X₅ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: 16⋅X₁+8⋅X₅+X₂+16 {O(n)}
t₂, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₂, X₄: 2⋅X₁+X₅+2 {O(n)}
t₂, X₅: X₅ {O(n)}
t₂, X₆: X₅+1 {O(n)}
t₃, X₁: 2⋅X₁ {O(n)}
t₃, X₂: 16⋅X₁+8⋅X₅+X₂+16 {O(n)}
t₃, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₃, X₄: 2⋅X₁+X₅+2 {O(n)}
t₃, X₅: 2⋅X₅ {O(n)}
t₃, X₆: 2⋅X₅+1 {O(n)}
t₄, X₁: X₁ {O(n)}
t₄, X₂: 2⋅X₁+X₅+2 {O(n)}
t₄, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₄, X₄: 2⋅X₁+X₅+2 {O(n)}
t₄, X₅: X₅ {O(n)}
t₄, X₆: X₅+1 {O(n)}
t₅, X₁: X₁ {O(n)}
t₅, X₂: 2⋅X₁+X₅+2 {O(n)}
t₅, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₅, X₄: 2⋅X₁+X₅+2 {O(n)}
t₅, X₅: X₅ {O(n)}
t₅, X₆: X₅+1 {O(n)}
t₇, X₁: X₁ {O(n)}
t₇, X₂: 2⋅X₁+X₅+2 {O(n)}
t₇, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₇, X₄: 2⋅X₁+X₅+2 {O(n)}
t₇, X₅: X₅ {O(n)}
t₇, X₆: X₅+1 {O(n)}
t₈, X₁: X₁ {O(n)}
t₈, X₂: 2⋅X₁+X₅+2 {O(n)}
t₈, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₈, X₄: 2⋅X₁+X₅+2 {O(n)}
t₈, X₅: X₅ {O(n)}
t₈, X₆: X₅+1 {O(n)}
t₉, X₁: X₁ {O(n)}
t₉, X₂: 2⋅X₁+X₅+2 {O(n)}
t₉, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₉, X₄: 2⋅X₁+X₅+2 {O(n)}
t₉, X₅: X₅ {O(n)}
t₉, X₆: X₅+1 {O(n)}
t₁₀, X₀: 0 {O(1)}
t₁₀, X₁: X₁ {O(n)}
t₁₀, X₂: 2⋅X₁+X₅+2 {O(n)}
t₁₀, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₁₀, X₄: 2⋅X₁+X₅+2 {O(n)}
t₁₀, X₅: X₅ {O(n)}
t₁₀, X₆: X₅+1 {O(n)}
t₁₁, X₁: X₁ {O(n)}
t₁₁, X₂: 2⋅X₁+X₅+2 {O(n)}
t₁₁, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₁₁, X₄: 2⋅X₁+X₅+2 {O(n)}
t₁₁, X₅: X₅ {O(n)}
t₁₁, X₆: X₅+1 {O(n)}
t₁₂, X₁: X₁ {O(n)}
t₁₂, X₂: 2⋅X₁+X₅+2 {O(n)}
t₁₂, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₁₂, X₄: 2⋅X₁+X₅+2 {O(n)}
t₁₂, X₅: X₅ {O(n)}
t₁₂, X₆: X₅+1 {O(n)}
t₁₄, X₁: X₁ {O(n)}
t₁₄, X₂: 2⋅X₁+X₅+2 {O(n)}
t₁₄, X₃: 10⋅X₅+2⋅X₃+20⋅X₁+20 {O(n)}
t₁₄, X₄: 2⋅X₅+4⋅X₁+4 {O(n)}
t₁₄, X₅: X₅ {O(n)}
t₁₄, X₆: X₅+1 {O(n)}
t₁₇, X₁: X₁ {O(n)}
t₁₇, X₂: 2⋅X₅+4⋅X₁+4 {O(n)}
t₁₇, X₃: 2⋅X₁+X₅+2 {O(n)}
t₁₇, X₄: 2⋅X₅+4⋅X₁+4 {O(n)}
t₁₇, X₅: X₅ {O(n)}
t₁₇, X₆: X₅+1 {O(n)}
t₁₈, X₁: X₁ {O(n)}
t₁₈, X₂: 2⋅X₅+4⋅X₁+4 {O(n)}
t₁₈, X₃: 2⋅X₁+X₅+2 {O(n)}
t₁₈, X₄: 2⋅X₅+4⋅X₁+4 {O(n)}
t₁₈, X₅: X₅ {O(n)}
t₁₈, X₆: X₅+1 {O(n)}
t₁₉, X₁: X₁ {O(n)}
t₁₉, X₂: 2⋅X₅+4⋅X₁+4 {O(n)}
t₁₉, X₃: 2⋅X₁+X₅+2 {O(n)}
t₁₉, X₄: 2⋅X₅+4⋅X₁+4 {O(n)}
t₁₉, X₅: X₅ {O(n)}
t₁₉, X₆: 1 {O(1)}
t₂₁, X₁: X₁ {O(n)}
t₂₁, X₂: 2⋅X₁+X₅+2 {O(n)}
t₂₁, X₃: 2⋅X₁+X₅+2 {O(n)}
t₂₁, X₄: 2⋅X₅+4⋅X₁+4 {O(n)}
t₂₁, X₅: X₅ {O(n)}
t₂₁, X₆: X₅+1 {O(n)}
t₂₅, X₁: X₁ {O(n)}
t₂₅, X₂: 2⋅X₁+X₅+2 {O(n)}
t₂₅, X₃: 2⋅X₁+X₅+2 {O(n)}
t₂₅, X₄: 2⋅X₅+4⋅X₁+4 {O(n)}
t₂₅, X₅: X₅ {O(n)}
t₂₅, X₆: X₅+1 {O(n)}
t₂₉, X₁: X₁ {O(n)}
t₂₉, X₂: 16⋅X₁+8⋅X₅+16 {O(n)}
t₂₉, X₃: 10⋅X₁+5⋅X₅+10 {O(n)}
t₂₉, X₄: 2⋅X₁+X₅+2 {O(n)}
t₂₉, X₅: X₅ {O(n)}
t₂₉, X₆: X₅+1 {O(n)}
t₃₀, X₁: 2⋅X₁ {O(n)}
t₃₀, X₂: 16⋅X₁+8⋅X₅+X₂+16 {O(n)}
t₃₀, X₃: 10⋅X₁+5⋅X₅+X₃+10 {O(n)}
t₃₀, X₄: 2⋅X₁+X₅+2 {O(n)}
t₃₀, X₅: 2⋅X₅ {O(n)}
t₃₀, X₆: 2⋅X₅+1 {O(n)}