add2fced44
Optimization in Zielonka failed under certain circumstances todo: Devise a specialized test for direct attr computation * spot/twaalgos/game.cc: Correction * tests/python/game.py: Test
273 lines
11 KiB
Python
273 lines
11 KiB
Python
#!/usr/bin/python3
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# -*- mode: python; coding: utf-8 -*-
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# Copyright (C) 2020, 2022 Laboratoire de Recherche et Développement de
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# l'EPITA.
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#
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# This file is part of Spot, a model checking library.
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#
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# Spot is free software; you can redistribute it and/or modify it
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# under the terms of the GNU General Public License as published by
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# the Free Software Foundation; either version 3 of the License, or
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# (at your option) any later version.
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#
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# Spot is distributed in the hope that it will be useful, but WITHOUT
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# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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# or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
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# License for more details.
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#
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# You should have received a copy of the GNU General Public License
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# along with this program. If not, see <http://www.gnu.org/licenses/>.
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import spot
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g = spot.automaton("""HOA: v1 States: 9 Start: 0 AP: 2 "a" "b"
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acc-name: Streett 1 Acceptance: 2 Fin(0) | Inf(1) properties:
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trans-labels explicit-labels state-acc spot-state-player: 0 1 0 1 0 1
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0 1 1 --BODY-- State: 0 {1} [1] 1 [1] 3 State: 1 {1} [1] 2 State: 2
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{1} [0] 8 State: 3 {1} [1] 4 State: 4 {1} [0] 5 State: 5 {1} [0] 6
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State: 6 {1} [1] 7 State: 7 State: 8 {1} [0] 2 --END--""")
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assert spot.solve_parity_game(g) == False
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s = spot.highlight_strategy(g).to_str("HOA", "1.1")
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assert s == """HOA: v1.1
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States: 9
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Start: 0
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AP: 2 "a" "b"
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acc-name: Streett 1
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Acceptance: 2 Fin(0) | Inf(1)
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properties: trans-labels explicit-labels state-acc !complete
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properties: !deterministic exist-branch
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spot.highlight.states: 0 5 1 4 2 4 3 5 4 5 5 5 6 5 7 5 8 4
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spot.highlight.edges: 2 5 3 4 6 5 8 5 9 4
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spot.state-player: 0 1 0 1 0 1 0 1 1
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--BODY--
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State: 0 {1}
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[1] 1
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[1] 3
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State: 1 {1}
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[1] 2
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State: 2 {1}
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[0] 8
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State: 3 {1}
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[1] 4
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State: 4 {1}
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[0] 5
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State: 5 {1}
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[0] 6
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State: 6 {1}
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[1] 7
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State: 7
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State: 8 {1}
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[0] 2
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--END--"""
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# Testing case where parity_game optimization
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# lead to wrong results
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si = spot.synthesis_info()
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game = spot.automaton("""HOA: v1
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States: 27
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Start: 7
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AP: 11 "a" "b" "c" "d" "e" "f" "g" "h" "i" "j" "k"
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acc-name: parity max odd 3
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Acceptance: 3 Fin(2) & (Inf(1) | Fin(0))
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properties: trans-labels explicit-labels trans-acc colored
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properties: deterministic
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spot-state-player: 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
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controllable-AP: 0 1 2 3 4 5 6 7
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--BODY--
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State: 0
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[t] 8 {0}
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State: 1
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[8&9] 8 {0}
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[!8&!10 | !9&!10] 9 {0}
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[!8&10 | !9&10] 10 {0}
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State: 2
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[8&9] 8 {0}
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[!8&!10 | !9&!10] 11 {0}
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[!8&10 | !9&10] 12 {0}
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State: 3
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[8&9] 8 {0}
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[!9&!10] 13 {0}
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[!8&10 | !9&10] 14 {0}
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[!8&9&!10] 15 {0}
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State: 4
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[8&9] 8 {0}
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[!8&!10 | !9&!10] 16 {0}
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[!8&!9&10] 17 {0}
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[!8&9&10] 18 {0}
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[8&!9&10] 19 {0}
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State: 5
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[8&9] 8 {0}
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[!9&!10] 20 {0}
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[!8&10 | !9&10] 21 {0}
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[!8&9&!10] 22 {0}
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State: 6
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[8&9] 8 {0}
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[!8&!10 | !9&!10] 23 {0}
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[!8&!9&10] 24 {0}
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[!8&9&10] 25 {0}
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[8&!9&10] 26 {0}
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State: 7
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[8&9] 8 {0}
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[!9&!10] 13 {0}
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[!8&9&!10] 15 {0}
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[!8&!9&10] 17 {0}
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[!8&9&10] 18 {0}
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[8&!9&10] 19 {0}
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State: 8
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[!0&!1&2&!3&!4&5&!6&7 | !0&!1&2&!3&!4&5&6&!7 | !0&!1&2&!3&4&!5&!6&7 |
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!0&!1&2&!3&4&!5&6&!7 | !0&!1&2&3&!4&!5&!6&7 | !0&!1&2&3&!4&!5&6&!7 |
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!0&1&!2&!3&!4&5&!6&7 | !0&1&!2&!3&!4&5&6&!7 | !0&1&!2&!3&4&!5&!6&7 |
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!0&1&!2&!3&4&!5&6&!7 | !0&1&!2&3&!4&!5&!6&7 | !0&1&!2&3&!4&!5&6&!7 |
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0&!1&!2&!3&!4&5&!6&7 | 0&!1&!2&!3&!4&5&6&!7 | 0&!1&!2&!3&4&!5&!6&7 |
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0&!1&!2&!3&4&!5&6&!7 | 0&!1&!2&3&!4&!5&!6&7 | 0&!1&!2&3&!4&!5&6&!7] 0 {1}
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State: 9
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[!0&!1&2&!3&!4&5&!6&7 | !0&!1&2&!3&!4&5&6&!7 | !0&!1&2&!3&4&!5&!6&7 |
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!0&!1&2&!3&4&!5&6&!7 | !0&1&!2&!3&!4&5&!6&7 | !0&1&!2&!3&!4&5&6&!7 |
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!0&1&!2&!3&4&!5&!6&7 | !0&1&!2&!3&4&!5&6&!7 | 0&!1&!2&!3&!4&5&!6&7 |
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0&!1&!2&!3&!4&5&6&!7 | 0&!1&!2&!3&4&!5&!6&7 | 0&!1&!2&!3&4&!5&6&!7] 1 {2}
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[!0&!1&2&3&!4&!5&!6&7 | !0&!1&2&3&!4&!5&6&!7 | !0&1&!2&3&!4&!5&!6&7 |
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!0&1&!2&3&!4&!5&6&!7 | 0&!1&!2&3&!4&!5&!6&7 | 0&!1&!2&3&!4&!5&6&!7] 2 {2}
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State: 10
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[!0&!1&2&!3&!4&5&!6&7 | !0&!1&2&!3&!4&5&6&!7 | !0&!1&2&!3&4&!5&!6&7 |
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!0&!1&2&!3&4&!5&6&!7 | !0&1&!2&!3&!4&5&!6&7 | !0&1&!2&!3&!4&5&6&!7 |
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!0&1&!2&!3&4&!5&!6&7 | !0&1&!2&!3&4&!5&6&!7 | 0&!1&!2&!3&!4&5&!6&7 |
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0&!1&!2&!3&!4&5&6&!7 | 0&!1&!2&!3&4&!5&!6&7 | 0&!1&!2&!3&4&!5&6&!7] 0 {1}
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[!0&!1&2&3&!4&!5&!6&7 | !0&!1&2&3&!4&!5&6&!7 | !0&1&!2&3&!4&!5&!6&7 |
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!0&1&!2&3&!4&!5&6&!7 | 0&!1&!2&3&!4&!5&!6&7 | 0&!1&!2&3&!4&!5&6&!7] 2 {2}
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State: 11
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[!0&!1&2&!3&4&!5&!6&7 | !0&!1&2&!3&4&!5&6&!7 | !0&!1&2&3&!4&!5&!6&7 |
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!0&!1&2&3&!4&!5&6&!7 | !0&1&!2&!3&4&!5&!6&7 | !0&1&!2&!3&4&!5&6&!7 |
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!0&1&!2&3&!4&!5&!6&7 | !0&1&!2&3&!4&!5&6&!7 | 0&!1&!2&!3&4&!5&!6&7 |
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0&!1&!2&!3&4&!5&6&!7 | 0&!1&!2&3&!4&!5&!6&7 | 0&!1&!2&3&!4&!5&6&!7] 0 {1}
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[!0&!1&2&!3&!4&5&!6&7 | !0&!1&2&!3&!4&5&6&!7 | !0&1&!2&!3&!4&5&!6&7 |
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!0&1&!2&!3&!4&5&6&!7 | 0&!1&!2&!3&!4&5&!6&7 | 0&!1&!2&!3&!4&5&6&!7] 1 {2}
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State: 12
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[!0&!1&2&!3&!4&5&!6&7 | !0&!1&2&!3&!4&5&6&!7 | !0&1&!2&!3&!4&5&!6&7 |
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!0&1&!2&!3&!4&5&6&!7 | 0&!1&!2&!3&!4&5&!6&7 | 0&!1&!2&!3&!4&5&6&!7] 1 {2}
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[!0&!1&2&!3&4&!5&!6&7 | !0&!1&2&!3&4&!5&6&!7 | !0&!1&2&3&!4&!5&!6&7 |
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!0&!1&2&3&!4&!5&6&!7 | !0&1&!2&!3&4&!5&!6&7 | !0&1&!2&!3&4&!5&6&!7 |
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!0&1&!2&3&!4&!5&!6&7 | !0&1&!2&3&!4&!5&6&!7 | 0&!1&!2&!3&4&!5&!6&7 |
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0&!1&!2&!3&4&!5&6&!7 | 0&!1&!2&3&!4&!5&!6&7 | 0&!1&!2&3&!4&!5&6&!7] 2 {2}
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State: 13
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[!0&!1&2&!3&!4&5&6&!7 | !0&!1&2&!3&4&!5&6&!7 | !0&1&!2&!3&!4&5&!6&7 |
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!0&1&!2&!3&!4&5&6&!7 | !0&1&!2&!3&4&!5&!6&7 | !0&1&!2&!3&4&!5&6&!7 |
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0&!1&!2&!3&!4&5&!6&7 | 0&!1&!2&!3&!4&5&6&!7 | 0&!1&!2&!3&4&!5&!6&7 |
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0&!1&!2&!3&4&!5&6&!7] 1 {1}
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[!0&!1&2&3&!4&!5&6&!7 | !0&1&!2&3&!4&!5&!6&7 | !0&1&!2&3&!4&!5&6&!7 |
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0&!1&!2&3&!4&!5&!6&7 | 0&!1&!2&3&!4&!5&6&!7] 2 {1}
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[!0&!1&2&!3&!4&5&!6&7 | !0&!1&2&!3&4&!5&!6&7] 3 {1}
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[!0&!1&2&3&!4&!5&!6&7] 5 {1}
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State: 14
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[!0&!1&2&!3&!4&5&!6&7 | !0&!1&2&!3&!4&5&6&!7 | !0&!1&2&!3&4&!5&!6&7 |
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!0&!1&2&!3&4&!5&6&!7 | !0&1&!2&!3&!4&5&!6&7 | !0&1&!2&!3&!4&5&6&!7 |
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!0&1&!2&!3&4&!5&!6&7 | !0&1&!2&!3&4&!5&6&!7 | 0&!1&!2&!3&!4&5&!6&7 |
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0&!1&!2&!3&!4&5&6&!7 | 0&!1&!2&!3&4&!5&!6&7 | 0&!1&!2&!3&4&!5&6&!7] 0 {1}
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[!0&!1&2&3&!4&!5&!6&7 | !0&!1&2&3&!4&!5&6&!7 | !0&1&!2&3&!4&!5&!6&7 |
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!0&1&!2&3&!4&!5&6&!7 | 0&!1&!2&3&!4&!5&!6&7 | 0&!1&!2&3&!4&!5&6&!7] 2 {1}
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State: 15
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[!0&!1&2&!3&!4&5&6&!7 | !0&!1&2&!3&4&!5&6&!7 | !0&1&!2&!3&!4&5&!6&7 |
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!0&1&!2&!3&!4&5&6&!7 | !0&1&!2&!3&4&!5&!6&7 | !0&1&!2&!3&4&!5&6&!7 |
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0&!1&!2&!3&!4&5&!6&7 | 0&!1&!2&!3&!4&5&6&!7 | 0&!1&!2&!3&4&!5&!6&7 |
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0&!1&!2&!3&4&!5&6&!7] 1 {1}
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[!0&!1&2&3&!4&!5&6&!7 | !0&1&!2&3&!4&!5&!6&7 | !0&1&!2&3&!4&!5&6&!7 |
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0&!1&!2&3&!4&!5&!6&7 | 0&!1&!2&3&!4&!5&6&!7] 2 {1}
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[!0&!1&2&!3&!4&5&!6&7 | !0&!1&2&!3&4&!5&!6&7] 4 {1}
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[!0&!1&2&3&!4&!5&!6&7] 6 {1}
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State: 16
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[!0&!1&2&!3&!4&5&!6&7 | !0&!1&2&!3&!4&5&6&!7 | !0&!1&2&!3&4&!5&!6&7 |
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!0&!1&2&!3&4&!5&6&!7 | !0&1&!2&!3&!4&5&!6&7 | !0&1&!2&!3&!4&5&6&!7 |
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!0&1&!2&!3&4&!5&!6&7 | !0&1&!2&!3&4&!5&6&!7 | 0&!1&!2&!3&!4&5&!6&7 |
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0&!1&!2&!3&!4&5&6&!7 | 0&!1&!2&!3&4&!5&!6&7 | 0&!1&!2&!3&4&!5&6&!7] 1 {1}
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[!0&!1&2&3&!4&!5&!6&7 | !0&!1&2&3&!4&!5&6&!7 | !0&1&!2&3&!4&!5&!6&7 |
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!0&1&!2&3&!4&!5&6&!7 | 0&!1&!2&3&!4&!5&!6&7 | 0&!1&!2&3&!4&!5&6&!7] 2 {1}
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State: 17
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[!0&!1&2&!3&!4&5&!6&7 | !0&!1&2&!3&!4&5&6&!7 | !0&!1&2&!3&4&!5&!6&7 |
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!0&!1&2&!3&4&!5&6&!7 | !0&1&!2&!3&!4&5&!6&7 | !0&1&!2&!3&!4&5&6&!7 |
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!0&1&!2&!3&4&!5&!6&7 | !0&1&!2&!3&4&!5&6&!7 | 0&!1&!2&!3&!4&5&!6&7 |
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0&!1&!2&!3&!4&5&6&!7 | 0&!1&!2&!3&4&!5&!6&7 | 0&!1&!2&!3&4&!5&6&!7] 0 {1}
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[!0&!1&2&3&!4&!5&!6&7 | !0&!1&2&3&!4&!5&6&!7 | !0&1&!2&3&!4&!5&6&!7 |
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0&!1&!2&3&!4&!5&!6&7 | 0&!1&!2&3&!4&!5&6&!7] 2 {1}
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[!0&1&!2&3&!4&!5&!6&7] 6 {1}
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State: 18
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[!0&!1&2&!3&!4&5&!6&7 | !0&!1&2&!3&!4&5&6&!7 | !0&!1&2&!3&4&!5&!6&7 |
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!0&!1&2&!3&4&!5&6&!7 | !0&1&!2&!3&!4&5&!6&7 | !0&1&!2&!3&!4&5&6&!7 |
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!0&1&!2&!3&4&!5&!6&7 | !0&1&!2&!3&4&!5&6&!7 | 0&!1&!2&!3&!4&5&!6&7 |
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0&!1&!2&!3&!4&5&6&!7 | 0&!1&!2&!3&4&!5&!6&7 | 0&!1&!2&!3&4&!5&6&!7] 0 {1}
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[!0&!1&2&3&!4&!5&!6&7 | !0&!1&2&3&!4&!5&6&!7 | !0&1&!2&3&!4&!5&6&!7 |
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0&!1&!2&3&!4&!5&!6&7 | 0&!1&!2&3&!4&!5&6&!7] 2 {1}
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[!0&1&!2&3&!4&!5&!6&7] 5 {1}
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State: 19
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[!0&!1&2&!3&!4&5&!6&7 | !0&!1&2&!3&!4&5&6&!7 | !0&!1&2&!3&4&!5&!6&7 |
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!0&!1&2&!3&4&!5&6&!7 | !0&1&!2&!3&!4&5&!6&7 | !0&1&!2&!3&!4&5&6&!7 |
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!0&1&!2&!3&4&!5&!6&7 | !0&1&!2&!3&4&!5&6&!7 | 0&!1&!2&!3&!4&5&!6&7 |
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0&!1&!2&!3&!4&5&6&!7 | 0&!1&!2&!3&4&!5&!6&7 | 0&!1&!2&!3&4&!5&6&!7] 0 {1}
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[!0&!1&2&3&!4&!5&!6&7 | !0&!1&2&3&!4&!5&6&!7 | !0&1&!2&3&!4&!5&!6&7 |
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0&!1&!2&3&!4&!5&!6&7 | 0&!1&!2&3&!4&!5&6&!7] 2 {1}
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[!0&1&!2&3&!4&!5&6&!7] 6 {1}
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State: 20
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[!0&!1&2&!3&4&!5&!6&7 | !0&!1&2&!3&4&!5&6&!7 | !0&!1&2&3&!4&!5&!6&7 |
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!0&!1&2&3&!4&!5&6&!7 | !0&1&!2&!3&4&!5&!6&7 | !0&1&!2&!3&4&!5&6&!7 |
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!0&1&!2&3&!4&!5&!6&7 | !0&1&!2&3&!4&!5&6&!7 | 0&!1&!2&!3&4&!5&!6&7 |
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0&!1&!2&!3&4&!5&6&!7 | 0&!1&!2&3&!4&!5&!6&7 | 0&!1&!2&3&!4&!5&6&!7] 0 {1}
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[!0&!1&2&!3&!4&5&6&!7 | !0&1&!2&!3&!4&5&!6&7 | !0&1&!2&!3&!4&5&6&!7 |
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0&!1&!2&!3&!4&5&!6&7 | 0&!1&!2&!3&!4&5&6&!7] 1 {1}
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[!0&!1&2&!3&!4&5&!6&7] 3 {1}
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State: 21
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[!0&!1&2&!3&!4&5&!6&7 | !0&!1&2&!3&!4&5&6&!7 | !0&1&!2&!3&!4&5&!6&7 |
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|
!0&1&!2&!3&!4&5&6&!7 | 0&!1&!2&!3&!4&5&!6&7 | 0&!1&!2&!3&!4&5&6&!7] 1 {1}
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|
[!0&!1&2&!3&4&!5&!6&7 | !0&!1&2&!3&4&!5&6&!7 | !0&!1&2&3&!4&!5&!6&7 |
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|
!0&!1&2&3&!4&!5&6&!7 | !0&1&!2&!3&4&!5&!6&7 | !0&1&!2&!3&4&!5&6&!7 |
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|
!0&1&!2&3&!4&!5&!6&7 | !0&1&!2&3&!4&!5&6&!7 | 0&!1&!2&!3&4&!5&!6&7 |
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|
0&!1&!2&!3&4&!5&6&!7 | 0&!1&!2&3&!4&!5&!6&7 | 0&!1&!2&3&!4&!5&6&!7] 2 {1}
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State: 22
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|
[!0&!1&2&!3&4&!5&!6&7 | !0&!1&2&!3&4&!5&6&!7 | !0&!1&2&3&!4&!5&!6&7 |
|
|
!0&!1&2&3&!4&!5&6&!7 | !0&1&!2&!3&4&!5&!6&7 | !0&1&!2&!3&4&!5&6&!7 |
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|
!0&1&!2&3&!4&!5&!6&7 | !0&1&!2&3&!4&!5&6&!7 | 0&!1&!2&!3&4&!5&!6&7 |
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|
0&!1&!2&!3&4&!5&6&!7 | 0&!1&!2&3&!4&!5&!6&7 | 0&!1&!2&3&!4&!5&6&!7] 0 {1}
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|
[!0&!1&2&!3&!4&5&6&!7 | !0&1&!2&!3&!4&5&!6&7 | !0&1&!2&!3&!4&5&6&!7 |
|
|
0&!1&!2&!3&!4&5&!6&7 | 0&!1&!2&!3&!4&5&6&!7] 1 {1}
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|
[!0&!1&2&!3&!4&5&!6&7] 4 {1}
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|
State: 23
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|
[!0&!1&2&!3&4&!5&!6&7 | !0&!1&2&!3&4&!5&6&!7 | !0&!1&2&3&!4&!5&!6&7 |
|
|
!0&!1&2&3&!4&!5&6&!7 | !0&1&!2&!3&4&!5&!6&7 | !0&1&!2&!3&4&!5&6&!7 |
|
|
!0&1&!2&3&!4&!5&!6&7 | !0&1&!2&3&!4&!5&6&!7 | 0&!1&!2&!3&4&!5&!6&7 |
|
|
0&!1&!2&!3&4&!5&6&!7 | 0&!1&!2&3&!4&!5&!6&7 | 0&!1&!2&3&!4&!5&6&!7] 0 {1}
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|
[!0&!1&2&!3&!4&5&!6&7 | !0&!1&2&!3&!4&5&6&!7 | !0&1&!2&!3&!4&5&!6&7 |
|
|
!0&1&!2&!3&!4&5&6&!7 | 0&!1&!2&!3&!4&5&!6&7 | 0&!1&!2&!3&!4&5&6&!7] 1 {1}
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|
State: 24
|
|
[!0&!1&2&!3&!4&5&!6&7 | !0&!1&2&!3&!4&5&6&!7 | !0&1&!2&!3&!4&5&6&!7 |
|
|
0&!1&!2&!3&!4&5&!6&7 | 0&!1&!2&!3&!4&5&6&!7] 1 {1}
|
|
[!0&!1&2&!3&4&!5&!6&7 | !0&!1&2&!3&4&!5&6&!7 | !0&!1&2&3&!4&!5&!6&7 |
|
|
!0&!1&2&3&!4&!5&6&!7 | !0&1&!2&!3&4&!5&6&!7 | !0&1&!2&3&!4&!5&6&!7 |
|
|
0&!1&!2&!3&4&!5&!6&7 | 0&!1&!2&!3&4&!5&6&!7 | 0&!1&!2&3&!4&!5&!6&7 |
|
|
0&!1&!2&3&!4&!5&6&!7] 2 {1}
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|
[!0&1&!2&!3&!4&5&!6&7] 4 {1}
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|
[!0&1&!2&!3&4&!5&!6&7 | !0&1&!2&3&!4&!5&!6&7] 6 {1}
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|
State: 25
|
|
[!0&!1&2&!3&!4&5&!6&7 | !0&!1&2&!3&!4&5&6&!7 | !0&1&!2&!3&!4&5&6&!7 |
|
|
0&!1&!2&!3&!4&5&!6&7 | 0&!1&!2&!3&!4&5&6&!7] 1 {1}
|
|
[!0&!1&2&!3&4&!5&!6&7 | !0&!1&2&!3&4&!5&6&!7 | !0&!1&2&3&!4&!5&!6&7 |
|
|
!0&!1&2&3&!4&!5&6&!7 | !0&1&!2&!3&4&!5&6&!7 | !0&1&!2&3&!4&!5&6&!7 |
|
|
0&!1&!2&!3&4&!5&!6&7 | 0&!1&!2&!3&4&!5&6&!7 | 0&!1&!2&3&!4&!5&!6&7 |
|
|
0&!1&!2&3&!4&!5&6&!7] 2 {1}
|
|
[!0&1&!2&!3&!4&5&!6&7] 3 {1}
|
|
[!0&1&!2&!3&4&!5&!6&7 | !0&1&!2&3&!4&!5&!6&7] 5 {1}
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|
State: 26
|
|
[!0&!1&2&!3&!4&5&!6&7 | !0&!1&2&!3&!4&5&6&!7 | !0&1&!2&!3&!4&5&!6&7 |
|
|
0&!1&!2&!3&!4&5&!6&7 | 0&!1&!2&!3&!4&5&6&!7] 1 {1}
|
|
[!0&!1&2&!3&4&!5&!6&7 | !0&!1&2&!3&4&!5&6&!7 | !0&!1&2&3&!4&!5&!6&7 |
|
|
!0&!1&2&3&!4&!5&6&!7 | !0&1&!2&!3&4&!5&!6&7 | !0&1&!2&3&!4&!5&!6&7 |
|
|
0&!1&!2&!3&4&!5&!6&7 | 0&!1&!2&!3&4&!5&6&!7 | 0&!1&!2&3&!4&!5&!6&7 |
|
|
0&!1&!2&3&!4&!5&6&!7] 2 {1}
|
|
[!0&1&!2&!3&!4&5&6&!7] 4 {1}
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|
[!0&1&!2&!3&4&!5&6&!7 | !0&1&!2&3&!4&!5&6&!7] 6 {1}
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|
--END--""")
|
|
|
|
assert spot.solve_game(game, si)
|
|
|
|
games = spot.split_edges(game)
|
|
spot.set_state_players(games, spot.get_state_players(game))
|
|
assert spot.solve_game(games, si)
|