#!/bin/sh
# -*- coding: utf-8 -*-
# Copyright (C) 2018 Laboratoire de Recherche et Développement de
# l'Epita (LRDE).
#
# This file is part of Spot, a model checking library.
#
# Spot is free software; you can redistribute it and/or modify it
# under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 3 of the License, or
# (at your option) any later version.
#
# Spot is distributed in the hope that it will be useful, but WITHOUT
# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
# or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public
# License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program.  If not, see <http://www.gnu.org/licenses/>.

. ./defs
set -e

for x in P 'Pmin odd' 'Pmax even' p 'pmin odd' 'pmax even'; do
  ltl2tgba "-$x" FGa 'GFa & GFb' '(p0 W XXGp0) & GFp1 & FGp2' >>res
  ltl2tgba FGa 'GFa & GFb' '(p0 W XXGp0) & GFp1 & FGp2' |
    autfilt --name=%M --high "-$x" >>res2
  ltl2tgba -D "-$x" FGa 'GFa & GFb' '(p0 W XXGp0) & GFp1 & FGp2' >>res3
  ltl2tgba FGa 'GFa & GFb' '(p0 W XXGp0) & GFp1 & FGp2' |
    autfilt -D --name=%M --high "-$x" >>res4
done

cat >expected<<EOF
HOA: v1
name: "FGa"
States: 1
Start: 0
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0] 0
[!0] 0 {0}
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 0
AP: 2 "a" "b"
acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0&1] 0 {0}
[!1] 0
[!0&1] 1
State: 1
[0] 0 {0}
[!0] 1
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels trans-acc
--BODY--
State: 0
[0] 0
[!0] 1
[0&1&2] 2
State: 1
[t] 3
[1&2] 4
State: 2
[!0] 1
[0&!1&2] 2
[0&1&2] 2 {0}
State: 3
[0] 3
[0&1&2] 4
State: 4
[0&!1&2] 4
[0&1&2] 4 {0}
--END--
HOA: v1
name: "FGa"
States: 1
Start: 0
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0] 0
[!0] 0 {0}
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 0
AP: 2 "a" "b"
acc-name: Rabin 1
Acceptance: 2 Fin(0) & Inf(1)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0&1] 0 {1}
[!1] 0
[!0&1] 1
State: 1
[0] 0 {1}
[!0] 1
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: Rabin 1
Acceptance: 2 Fin(0) & Inf(1)
properties: trans-labels explicit-labels trans-acc
--BODY--
State: 0
[0] 0
[!0] 1
[0&1&2] 2
State: 1
[t] 3
[1&2] 4
State: 2
[!0] 1
[0&!1&2] 2
[0&1&2] 2 {1}
State: 3
[0] 3
[0&1&2] 4
State: 4
[0&!1&2] 4
[0&1&2] 4 {1}
--END--
HOA: v1
name: "FGa"
States: 1
Start: 0
AP: 1 "a"
acc-name: parity max even 2
Acceptance: 2 Fin(1) & Inf(0)
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0] 0 {0}
[!0] 0 {1}
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 0
AP: 2 "a" "b"
acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0&1] 0 {0}
[!1] 0
[!0&1] 1
State: 1
[0] 0 {0}
[!0] 1
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels trans-acc
--BODY--
State: 0
[0] 0
[!0] 1
[0&1&2] 2
State: 1
[t] 3
[1&2] 4
State: 2
[!0] 1
[0&!1&2] 2
[0&1&2] 2 {0}
State: 3
[0] 3
[0&1&2] 4
State: 4
[0&!1&2] 4
[0&1&2] 4 {0}
--END--
HOA: v1
name: "FGa"
States: 1
Start: 0
AP: 1 "a"
acc-name: parity max even 2
Acceptance: 2 Fin(1) & Inf(0)
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0] 0 {0}
[!0] 0 {1}
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 0
AP: 2 "a" "b"
acc-name: Streett 1
Acceptance: 2 Fin(0) | Inf(1)
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0&1] 0 {1}
[!1] 0 {0}
[!0&1] 1 {0}
State: 1
[0] 0 {1}
[!0] 1 {0}
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: parity max even 3
Acceptance: 3 Inf(2) | (Fin(1) & Inf(0))
properties: trans-labels explicit-labels trans-acc colored
--BODY--
State: 0
[0] 0 {1}
[!0] 1 {0}
[0&1&2] 2 {0}
State: 1
[t] 3 {0}
[1&2] 4 {0}
State: 2
[!0] 1 {0}
[0&!1&2] 2 {1}
[0&1&2] 2 {2}
State: 3
[0] 3 {1}
[0&1&2] 4 {0}
State: 4
[0&!1&2] 4 {1}
[0&1&2] 4 {2}
--END--
HOA: v1
name: "FGa"
States: 1
Start: 0
AP: 1 "a"
acc-name: Rabin 1
Acceptance: 2 Fin(0) & Inf(1)
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0] 0 {1}
[!0] 0 {0}
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 0
AP: 2 "a" "b"
acc-name: parity min odd 3
Acceptance: 3 Fin(0) & (Inf(1) | Fin(2))
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0&1] 0 {1}
[!1] 0 {2}
[!0&1] 1 {2}
State: 1
[0] 0 {1}
[!0] 1 {2}
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: parity min odd 4
Acceptance: 4 Fin(0) & (Inf(1) | (Fin(2) & Inf(3)))
properties: trans-labels explicit-labels trans-acc colored
--BODY--
State: 0
[0] 0 {2}
[!0] 1 {3}
[0&1&2] 2 {3}
State: 1
[t] 3 {3}
[1&2] 4 {3}
State: 2
[!0] 1 {3}
[0&1&2] 2 {1}
[0&!1&2] 2 {2}
State: 3
[0] 3 {2}
[0&1&2] 4 {3}
State: 4
[0&1&2] 4 {1}
[0&!1&2] 4 {2}
--END--
HOA: v1
name: "FGa"
States: 1
Start: 0
AP: 1 "a"
acc-name: parity max even 2
Acceptance: 2 Fin(1) & Inf(0)
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0] 0 {0}
[!0] 0 {1}
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 0
AP: 2 "a" "b"
acc-name: parity max even 3
Acceptance: 3 Inf(2) | (Fin(1) & Inf(0))
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0&1] 0 {2}
[!1] 0 {1}
[!0&1] 1 {1}
State: 1
[0] 0 {2}
[!0] 1 {1}
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: parity max even 3
Acceptance: 3 Inf(2) | (Fin(1) & Inf(0))
properties: trans-labels explicit-labels trans-acc colored
--BODY--
State: 0
[0] 0 {1}
[!0] 1 {1}
[0&1&2] 2 {1}
State: 1
[t] 3 {1}
[1&2] 4 {1}
State: 2
[!0] 1 {1}
[0&!1&2] 2 {1}
[0&1&2] 2 {2}
State: 3
[0] 3 {1}
[0&1&2] 4 {1}
State: 4
[0&!1&2] 4 {1}
[0&1&2] 4 {2}
--END--
EOF

diff expected res

cat >expected2<<EOF
HOA: v1
name: "FGa"
States: 2
Start: 0
AP: 1 "a"
acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels state-acc stutter-invariant
properties: very-weak
--BODY--
State: 0
[t] 0
[0] 1
State: 1 {0}
[0] 1
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 0
AP: 2 "a" "b"
acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0&1] 0 {0}
[!1] 0
[!0&1] 1
State: 1
[0] 0 {0}
[!0] 1
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels trans-acc
--BODY--
State: 0
[0] 0
[!0] 1
[0&1&2] 2
State: 1
[t] 3
[1&2] 4
State: 2
[!0] 1
[0&!1&2] 2
[0&1&2] 2 {0}
State: 3
[0] 3
[0&1&2] 4
State: 4
[0&!1&2] 4
[0&1&2] 4 {0}
--END--
HOA: v1
name: "FGa"
States: 2
Start: 0
AP: 1 "a"
acc-name: Rabin 1
Acceptance: 2 Fin(0) & Inf(1)
properties: trans-labels explicit-labels state-acc stutter-invariant
properties: very-weak
--BODY--
State: 0
[t] 0
[0] 1
State: 1 {1}
[0] 1
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 0
AP: 2 "a" "b"
acc-name: Rabin 1
Acceptance: 2 Fin(0) & Inf(1)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0&1] 0 {1}
[!1] 0
[!0&1] 1
State: 1
[0] 0 {1}
[!0] 1
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: Rabin 1
Acceptance: 2 Fin(0) & Inf(1)
properties: trans-labels explicit-labels trans-acc
--BODY--
State: 0
[0] 0
[!0] 1
[0&1&2] 2
State: 1
[t] 3
[1&2] 4
State: 2
[!0] 1
[0&!1&2] 2
[0&1&2] 2 {1}
State: 3
[0] 3
[0&1&2] 4
State: 4
[0&!1&2] 4
[0&1&2] 4 {1}
--END--
HOA: v1
name: "FGa"
States: 2
Start: 0
AP: 1 "a"
acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels state-acc stutter-invariant
properties: very-weak
--BODY--
State: 0
[t] 0
[0] 1
State: 1 {0}
[0] 1
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 0
AP: 2 "a" "b"
acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0&1] 0 {0}
[!1] 0
[!0&1] 1
State: 1
[0] 0 {0}
[!0] 1
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels trans-acc
--BODY--
State: 0
[0] 0
[!0] 1
[0&1&2] 2
State: 1
[t] 3
[1&2] 4
State: 2
[!0] 1
[0&!1&2] 2
[0&1&2] 2 {0}
State: 3
[0] 3
[0&1&2] 4
State: 4
[0&!1&2] 4
[0&1&2] 4 {0}
--END--
HOA: v1
name: "FGa"
States: 2
Start: 0
AP: 1 "a"
acc-name: Streett 1
Acceptance: 2 Fin(0) | Inf(1)
properties: trans-labels explicit-labels state-acc colored
properties: stutter-invariant very-weak
--BODY--
State: 0 {0}
[t] 0
[0] 1
State: 1 {1}
[0] 1
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 0
AP: 2 "a" "b"
acc-name: Streett 1
Acceptance: 2 Fin(0) | Inf(1)
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0&1] 0 {1}
[!1] 0 {0}
[!0&1] 1 {0}
State: 1
[0] 0 {1}
[!0] 1 {0}
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: Streett 1
Acceptance: 2 Fin(0) | Inf(1)
properties: trans-labels explicit-labels trans-acc colored
--BODY--
State: 0
[0] 0 {0}
[!0] 1 {0}
[0&1&2] 2 {0}
State: 1
[t] 3 {0}
[1&2] 4 {0}
State: 2
[!0] 1 {0}
[0&!1&2] 2 {0}
[0&1&2] 2 {1}
State: 3
[0] 3 {0}
[0&1&2] 4 {0}
State: 4
[0&!1&2] 4 {0}
[0&1&2] 4 {1}
--END--
HOA: v1
name: "FGa"
States: 2
Start: 0
AP: 1 "a"
acc-name: parity min odd 3
Acceptance: 3 Fin(0) & (Inf(1) | Fin(2))
properties: trans-labels explicit-labels state-acc colored
properties: stutter-invariant very-weak
--BODY--
State: 0 {2}
[t] 0
[0] 1
State: 1 {1}
[0] 1
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 0
AP: 2 "a" "b"
acc-name: parity min odd 3
Acceptance: 3 Fin(0) & (Inf(1) | Fin(2))
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0&1] 0 {1}
[!1] 0 {2}
[!0&1] 1 {2}
State: 1
[0] 0 {1}
[!0] 1 {2}
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: parity min odd 3
Acceptance: 3 Fin(0) & (Inf(1) | Fin(2))
properties: trans-labels explicit-labels trans-acc colored
--BODY--
State: 0
[0] 0 {2}
[!0] 1 {2}
[0&1&2] 2 {2}
State: 1
[t] 3 {2}
[1&2] 4 {2}
State: 2
[!0] 1 {2}
[0&!1&2] 2 {2}
[0&1&2] 2 {1}
State: 3
[0] 3 {2}
[0&1&2] 4 {2}
State: 4
[0&!1&2] 4 {2}
[0&1&2] 4 {1}
--END--
HOA: v1
name: "FGa"
States: 2
Start: 0
AP: 1 "a"
acc-name: parity max even 3
Acceptance: 3 Inf(2) | (Fin(1) & Inf(0))
properties: trans-labels explicit-labels state-acc colored
properties: stutter-invariant very-weak
--BODY--
State: 0 {1}
[t] 0
[0] 1
State: 1 {2}
[0] 1
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 0
AP: 2 "a" "b"
acc-name: parity max even 3
Acceptance: 3 Inf(2) | (Fin(1) & Inf(0))
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0&1] 0 {2}
[!1] 0 {1}
[!0&1] 1 {1}
State: 1
[0] 0 {2}
[!0] 1 {1}
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: parity max even 3
Acceptance: 3 Inf(2) | (Fin(1) & Inf(0))
properties: trans-labels explicit-labels trans-acc colored
--BODY--
State: 0
[0] 0 {1}
[!0] 1 {1}
[0&1&2] 2 {1}
State: 1
[t] 3 {1}
[1&2] 4 {1}
State: 2
[!0] 1 {1}
[0&!1&2] 2 {1}
[0&1&2] 2 {2}
State: 3
[0] 3 {1}
[0&1&2] 4 {1}
State: 4
[0&!1&2] 4 {1}
[0&1&2] 4 {2}
--END--
EOF
diff expected2 res2

cat >expected3<<EOF
HOA: v1
name: "FGa"
States: 1
Start: 0
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[!0] 0 {0}
[0] 0
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 1
AP: 2 "a" "b"
acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[!1] 0
[1] 1 {0}
State: 1
[0&!1] 0
[!0] 1
[0&1] 1 {0}
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: Rabin 1
Acceptance: 2 Fin(0) & Inf(1)
properties: trans-labels explicit-labels trans-acc deterministic
--BODY--
State: 0
[0&!1 | 0&!2] 0
[!0] 1
[0&1&2] 2 {1}
State: 1
[!1 | !2] 3
[1&2] 4
State: 2
[0&!2] 0 {0}
[!0] 1
[0&!1&2] 2
[0&1&2] 2 {1}
State: 3
[0&!1 | 0&!2] 3
[0&1&2] 4 {1}
State: 4
[0&!2] 3 {0}
[0&!1&2] 4
[0&1&2] 4 {1}
--END--
HOA: v1
name: "FGa"
States: 1
Start: 0
AP: 1 "a"
acc-name: co-Buchi
Acceptance: 1 Fin(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[!0] 0 {0}
[0] 0
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 1
AP: 2 "a" "b"
acc-name: Rabin 1
Acceptance: 2 Fin(0) & Inf(1)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[!1] 0
[1] 1 {1}
State: 1
[0&!1] 0
[!0] 1
[0&1] 1 {1}
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: Rabin 1
Acceptance: 2 Fin(0) & Inf(1)
properties: trans-labels explicit-labels trans-acc deterministic
--BODY--
State: 0
[0&!1 | 0&!2] 0
[!0] 1
[0&1&2] 2 {1}
State: 1
[!1 | !2] 3
[1&2] 4
State: 2
[0&!2] 0 {0}
[!0] 1
[0&!1&2] 2
[0&1&2] 2 {1}
State: 3
[0&!1 | 0&!2] 3
[0&1&2] 4 {1}
State: 4
[0&!2] 3 {0}
[0&!1&2] 4
[0&1&2] 4 {1}
--END--
HOA: v1
name: "FGa"
States: 1
Start: 0
AP: 1 "a"
acc-name: parity max even 2
Acceptance: 2 Fin(1) & Inf(0)
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[!0] 0 {1}
[0] 0 {0}
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 1
AP: 2 "a" "b"
acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[!1] 0
[1] 1 {0}
State: 1
[0&!1] 0
[!0] 1
[0&1] 1 {0}
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: parity max even 2
Acceptance: 2 Fin(1) & Inf(0)
properties: trans-labels explicit-labels trans-acc deterministic
--BODY--
State: 0
[0&!1 | 0&!2] 0
[!0] 1
[0&1&2] 2 {0}
State: 1
[!1 | !2] 3
[1&2] 4
State: 2
[0&!2] 0 {1}
[!0] 1
[0&!1&2] 2
[0&1&2] 2 {0}
State: 3
[0&!1 | 0&!2] 3
[0&1&2] 4 {0}
State: 4
[0&!2] 3 {1}
[0&!1&2] 4
[0&1&2] 4 {0}
--END--
HOA: v1
name: "FGa"
States: 1
Start: 0
AP: 1 "a"
acc-name: parity max even 2
Acceptance: 2 Fin(1) & Inf(0)
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[!0] 0 {1}
[0] 0 {0}
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 1
AP: 2 "a" "b"
acc-name: Streett 1
Acceptance: 2 Fin(0) | Inf(1)
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[!1] 0 {0}
[1] 1 {1}
State: 1
[0&!1] 0 {0}
[!0] 1 {0}
[0&1] 1 {1}
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: parity min odd 4
Acceptance: 4 Fin(0) & (Inf(1) | (Fin(2) & Inf(3)))
properties: trans-labels explicit-labels trans-acc colored
properties: deterministic
--BODY--
State: 0
[0&!1 | 0&!2] 0 {2}
[!0] 1 {3}
[0&1&2] 2 {1}
State: 1
[!1 | !2] 3 {3}
[1&2] 4 {3}
State: 2
[0&!2] 0 {0}
[!0] 1 {3}
[0&1&2] 2 {1}
[0&!1&2] 2 {2}
State: 3
[0&!1 | 0&!2] 3 {2}
[0&1&2] 4 {1}
State: 4
[0&!2] 3 {0}
[0&1&2] 4 {1}
[0&!1&2] 4 {2}
--END--
HOA: v1
name: "FGa"
States: 1
Start: 0
AP: 1 "a"
acc-name: Rabin 1
Acceptance: 2 Fin(0) & Inf(1)
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[!0] 0 {0}
[0] 0 {1}
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 1
AP: 2 "a" "b"
acc-name: parity min odd 3
Acceptance: 3 Fin(0) & (Inf(1) | Fin(2))
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[!1] 0 {2}
[1] 1 {1}
State: 1
[0&!1] 0 {2}
[!0] 1 {2}
[0&1] 1 {1}
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: parity min odd 4
Acceptance: 4 Fin(0) & (Inf(1) | (Fin(2) & Inf(3)))
properties: trans-labels explicit-labels trans-acc colored
properties: deterministic
--BODY--
State: 0
[0&!1 | 0&!2] 0 {2}
[!0] 1 {3}
[0&1&2] 2 {1}
State: 1
[!1 | !2] 3 {3}
[1&2] 4 {3}
State: 2
[0&!2] 0 {0}
[!0] 1 {3}
[0&1&2] 2 {1}
[0&!1&2] 2 {2}
State: 3
[0&!1 | 0&!2] 3 {2}
[0&1&2] 4 {1}
State: 4
[0&!2] 3 {0}
[0&1&2] 4 {1}
[0&!1&2] 4 {2}
--END--
HOA: v1
name: "FGa"
States: 1
Start: 0
AP: 1 "a"
acc-name: parity max even 2
Acceptance: 2 Fin(1) & Inf(0)
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[!0] 0 {1}
[0] 0 {0}
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 1
AP: 2 "a" "b"
acc-name: parity max even 3
Acceptance: 3 Inf(2) | (Fin(1) & Inf(0))
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[!1] 0 {1}
[1] 1 {2}
State: 1
[0&!1] 0 {1}
[!0] 1 {1}
[0&1] 1 {2}
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: parity max even 4
Acceptance: 4 Fin(3) & (Inf(2) | (Fin(1) & Inf(0)))
properties: trans-labels explicit-labels trans-acc colored
properties: deterministic
--BODY--
State: 0
[0&!1 | 0&!2] 0 {1}
[!0] 1 {1}
[0&1&2] 2 {2}
State: 1
[!1 | !2] 3 {1}
[1&2] 4 {1}
State: 2
[0&!2] 0 {3}
[!0] 1 {1}
[0&!1&2] 2 {1}
[0&1&2] 2 {2}
State: 3
[0&!1 | 0&!2] 3 {1}
[0&1&2] 4 {2}
State: 4
[0&!2] 3 {3}
[0&!1&2] 4 {1}
[0&1&2] 4 {2}
--END--
EOF
diff expected3 res3

cat >expected4<<EOF
HOA: v1
name: "FGa"
States: 2
Start: 0
AP: 1 "a"
acc-name: Rabin 1
Acceptance: 2 Fin(0) & Inf(1)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[!0] 0
[0] 1 {1}
State: 1
[!0] 0 {0}
[0] 1 {1}
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 0
AP: 2 "a" "b"
acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0&1] 0 {0}
[!1] 0
[!0&1] 1
State: 1
[0] 0 {0}
[!0] 1
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: Rabin 1
Acceptance: 2 Fin(0) & Inf(1)
properties: trans-labels explicit-labels trans-acc deterministic
--BODY--
State: 0
[0&!1 | 0&!2] 0
[!0] 1
[0&1&2] 2
State: 1
[!1 | !2] 3
[1&2] 4
State: 2
[0&!2] 0 {0}
[!0] 1
[0&!1&2] 2
[0&1&2] 2 {1}
State: 3
[0&!1 | 0&!2] 3
[0&1&2] 4
State: 4
[0&!2] 3 {0}
[0&!1&2] 4
[0&1&2] 4 {1}
--END--
HOA: v1
name: "FGa"
States: 2
Start: 0
AP: 1 "a"
acc-name: Rabin 1
Acceptance: 2 Fin(0) & Inf(1)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[!0] 0
[0] 1 {1}
State: 1
[!0] 0 {0}
[0] 1 {1}
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 0
AP: 2 "a" "b"
acc-name: Rabin 1
Acceptance: 2 Fin(0) & Inf(1)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0&1] 0 {1}
[!1] 0
[!0&1] 1
State: 1
[0] 0 {1}
[!0] 1
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: Rabin 1
Acceptance: 2 Fin(0) & Inf(1)
properties: trans-labels explicit-labels trans-acc deterministic
--BODY--
State: 0
[0&!1 | 0&!2] 0
[!0] 1
[0&1&2] 2
State: 1
[!1 | !2] 3
[1&2] 4
State: 2
[0&!2] 0 {0}
[!0] 1
[0&!1&2] 2
[0&1&2] 2 {1}
State: 3
[0&!1 | 0&!2] 3
[0&1&2] 4
State: 4
[0&!2] 3 {0}
[0&!1&2] 4
[0&1&2] 4 {1}
--END--
HOA: v1
name: "FGa"
States: 2
Start: 0
AP: 1 "a"
acc-name: parity max even 2
Acceptance: 2 Fin(1) & Inf(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[!0] 0
[0] 1 {0}
State: 1
[!0] 0 {1}
[0] 1 {0}
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 0
AP: 2 "a" "b"
acc-name: Buchi
Acceptance: 1 Inf(0)
properties: trans-labels explicit-labels trans-acc complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0&1] 0 {0}
[!1] 0
[!0&1] 1
State: 1
[0] 0 {0}
[!0] 1
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: parity max even 2
Acceptance: 2 Fin(1) & Inf(0)
properties: trans-labels explicit-labels trans-acc deterministic
--BODY--
State: 0
[0&!1 | 0&!2] 0
[!0] 1
[0&1&2] 2
State: 1
[!1 | !2] 3
[1&2] 4
State: 2
[0&!2] 0 {1}
[!0] 1
[0&!1&2] 2
[0&1&2] 2 {0}
State: 3
[0&!1 | 0&!2] 3
[0&1&2] 4
State: 4
[0&!2] 3 {1}
[0&!1&2] 4
[0&1&2] 4 {0}
--END--
HOA: v1
name: "FGa"
States: 2
Start: 0
AP: 1 "a"
acc-name: parity min odd 3
Acceptance: 3 Fin(0) & (Inf(1) | Fin(2))
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[!0] 0 {2}
[0] 1 {1}
State: 1
[!0] 0 {0}
[0] 1 {1}
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 0
AP: 2 "a" "b"
acc-name: Streett 1
Acceptance: 2 Fin(0) | Inf(1)
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0&1] 0 {1}
[!1] 0 {0}
[!0&1] 1 {0}
State: 1
[0] 0 {1}
[!0] 1 {0}
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: parity min odd 3
Acceptance: 3 Fin(0) & (Inf(1) | Fin(2))
properties: trans-labels explicit-labels trans-acc colored
properties: deterministic
--BODY--
State: 0
[0&!1 | 0&!2] 0 {2}
[!0] 1 {2}
[0&1&2] 2 {2}
State: 1
[!1 | !2] 3 {2}
[1&2] 4 {2}
State: 2
[0&!2] 0 {0}
[!0] 1 {2}
[0&!1&2] 2 {2}
[0&1&2] 2 {1}
State: 3
[0&!1 | 0&!2] 3 {2}
[0&1&2] 4 {2}
State: 4
[0&!2] 3 {0}
[0&!1&2] 4 {2}
[0&1&2] 4 {1}
--END--
HOA: v1
name: "FGa"
States: 2
Start: 0
AP: 1 "a"
acc-name: parity min odd 3
Acceptance: 3 Fin(0) & (Inf(1) | Fin(2))
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[!0] 0 {2}
[0] 1 {1}
State: 1
[!0] 0 {0}
[0] 1 {1}
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 0
AP: 2 "a" "b"
acc-name: parity min odd 3
Acceptance: 3 Fin(0) & (Inf(1) | Fin(2))
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0&1] 0 {1}
[!1] 0 {2}
[!0&1] 1 {2}
State: 1
[0] 0 {1}
[!0] 1 {2}
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: parity min odd 3
Acceptance: 3 Fin(0) & (Inf(1) | Fin(2))
properties: trans-labels explicit-labels trans-acc colored
properties: deterministic
--BODY--
State: 0
[0&!1 | 0&!2] 0 {2}
[!0] 1 {2}
[0&1&2] 2 {2}
State: 1
[!1 | !2] 3 {2}
[1&2] 4 {2}
State: 2
[0&!2] 0 {0}
[!0] 1 {2}
[0&!1&2] 2 {2}
[0&1&2] 2 {1}
State: 3
[0&!1 | 0&!2] 3 {2}
[0&1&2] 4 {2}
State: 4
[0&!2] 3 {0}
[0&!1&2] 4 {2}
[0&1&2] 4 {1}
--END--
HOA: v1
name: "FGa"
States: 2
Start: 0
AP: 1 "a"
acc-name: parity max even 4
Acceptance: 4 Fin(3) & (Inf(2) | (Fin(1) & Inf(0)))
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[!0] 0 {1}
[0] 1 {2}
State: 1
[!0] 0 {3}
[0] 1 {2}
--END--
HOA: v1
name: "G(Fa & Fb)"
States: 2
Start: 0
AP: 2 "a" "b"
acc-name: parity max even 3
Acceptance: 3 Inf(2) | (Fin(1) & Inf(0))
properties: trans-labels explicit-labels trans-acc colored complete
properties: deterministic stutter-invariant
--BODY--
State: 0
[0&1] 0 {2}
[!1] 0 {1}
[!0&1] 1 {1}
State: 1
[0] 0 {2}
[!0] 1 {1}
--END--
HOA: v1
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
States: 5
Start: 0
AP: 3 "p0" "p1" "p2"
acc-name: parity max even 4
Acceptance: 4 Fin(3) & (Inf(2) | (Fin(1) & Inf(0)))
properties: trans-labels explicit-labels trans-acc colored
properties: deterministic
--BODY--
State: 0
[0&!1 | 0&!2] 0 {1}
[!0] 1 {1}
[0&1&2] 2 {1}
State: 1
[!1 | !2] 3 {1}
[1&2] 4 {1}
State: 2
[0&!2] 0 {3}
[!0] 1 {1}
[0&!1&2] 2 {1}
[0&1&2] 2 {2}
State: 3
[0&!1 | 0&!2] 3 {1}
[0&1&2] 4 {1}
State: 4
[0&!2] 3 {3}
[0&!1&2] 4 {1}
[0&1&2] 4 {2}
--END--
EOF
diff expected4 res4

ltlcross 'ltl2tgba -P' 'ltl2tgba -P"odd max"' 'ltl2tgba -P"even min"' \
         'ltl2tgba -p' 'ltl2tgba -p"odd max"' 'ltl2tgba -p"even min"' \
         -f FGa -f 'GFa&GFb' -f 'GF(a <-> XXXb)' -f '(p0 W XXGp0) & GFp1 & FGp2'