sat
(model 
  (define-fun P_2_1_4 () Bool
    false)
  (define-fun P_1_5_6 () Bool
    false)
  (define-fun P_2_9_5 () Bool
    false)
  (define-fun P_2_8_7 () Bool
    false)
  (define-fun P_3_5_9 () Bool
    false)
  (define-fun P_4_1_9 () Bool
    false)
  (define-fun P_2_5_4 () Bool
    false)
  (define-fun P_7_2_8 () Bool
    false)
  (define-fun P_6_7_3 () Bool
    false)
  (define-fun P_9_7_9 () Bool
    false)
  (define-fun P_9_4_2 () Bool
    false)
  (define-fun P_5_1_5 () Bool
    false)
  (define-fun P_9_4_6 () Bool
    false)
  (define-fun P_7_4_5 () Bool
    false)
  (define-fun P_1_6_3 () Bool
    false)
  (define-fun P_3_8_5 () Bool
    false)
  (define-fun P_8_1_2 () Bool
    false)
  (define-fun P_3_9_4 () Bool
    false)
  (define-fun P_4_1_5 () Bool
    false)
  (define-fun P_6_6_4 () Bool
    false)
  (define-fun P_2_3_4 () Bool
    false)
  (define-fun P_4_4_5 () Bool
    true)
  (define-fun P_8_5_6 () Bool
    false)
  (define-fun P_4_8_6 () Bool
    false)
  (define-fun P_6_4_6 () Bool
    true)
  (define-fun P_2_6_3 () Bool
    false)
  (define-fun P_8_2_1 () Bool
    false)
  (define-fun P_6_3_7 () Bool
    false)
  (define-fun P_8_7_7 () Bool
    false)
  (define-fun P_2_7_9 () Bool
    false)
  (define-fun P_9_4_7 () Bool
    false)
  (define-fun P_4_6_8 () Bool
    false)
  (define-fun P_5_6_4 () Bool
    false)
  (define-fun P_7_8_1 () Bool
    false)
  (define-fun P_8_4_2 () Bool
    false)
  (define-fun P_6_5_5 () Bool
    false)
  (define-fun P_1_2_9 () Bool
    false)
  (define-fun P_7_2_9 () Bool
    true)
  (define-fun P_7_4_2 () Bool
    false)
  (define-fun P_7_4_3 () Bool
    true)
  (define-fun P_6_8_9 () Bool
    false)
  (define-fun P_6_9_7 () Bool
    false)
  (define-fun P_1_8_5 () Bool
    false)
  (define-fun P_5_5_2 () Bool
    false)
  (define-fun P_5_6_8 () Bool
    true)
  (define-fun P_7_7_4 () Bool
    false)
  (define-fun P_2_1_3 () Bool
    false)
  (define-fun P_6_5_9 () Bool
    false)
  (define-fun P_3_7_5 () Bool
    false)
  (define-fun P_6_8_3 () Bool
    false)
  (define-fun P_9_2_7 () Bool
    false)
  (define-fun P_2_4_2 () Bool
    false)
  (define-fun P_5_2_1 () Bool
    true)
  (define-fun P_1_9_7 () Bool
    true)
  (define-fun P_1_3_8 () Bool
    false)
  (define-fun P_5_1_9 () Bool
    false)
  (define-fun P_8_2_8 () Bool
    false)
  (define-fun P_3_2_9 () Bool
    false)
  (define-fun P_6_3_4 () Bool
    false)
  (define-fun P_2_4_5 () Bool
    false)
  (define-fun P_6_5_1 () Bool
    true)
  (define-fun P_7_6_6 () Bool
    true)
  (define-fun P_2_7_3 () Bool
    false)
  (define-fun P_1_2_8 () Bool
    false)
  (define-fun P_8_4_7 () Bool
    false)
  (define-fun P_7_1_8 () Bool
    true)
  (define-fun P_7_3_1 () Bool
    false)
  (define-fun P_4_8_5 () Bool
    false)
  (define-fun P_5_7_8 () Bool
    false)
  (define-fun P_5_5_5 () Bool
    false)
  (define-fun P_3_6_1 () Bool
    false)
  (define-fun P_7_4_4 () Bool
    false)
  (define-fun P_1_8_6 () Bool
    false)
  (define-fun P_6_8_6 () Bool
    false)
  (define-fun P_6_8_8 () Bool
    false)
  (define-fun P_2_9_6 () Bool
    true)
  (define-fun P_1_1_7 () Bool
    false)
  (define-fun P_4_3_4 () Bool
    false)
  (define-fun P_7_1_2 () Bool
    false)
  (define-fun P_8_3_8 () Bool
    false)
  (define-fun P_8_7_5 () Bool
    false)
  (define-fun P_9_7_5 () Bool
    false)
  (define-fun P_8_7_8 () Bool
    false)
  (define-fun P_3_7_9 () Bool
    false)
  (define-fun P_1_9_2 () Bool
    false)
  (define-fun P_8_3_3 () Bool
    false)
  (define-fun P_6_3_6 () Bool
    false)
  (define-fun P_1_4_6 () Bool
    false)
  (define-fun P_5_4_8 () Bool
    false)
  (define-fun P_8_1_7 () Bool
    true)
  (define-fun P_1_3_3 () Bool
    false)
  (define-fun P_4_5_7 () Bool
    false)
  (define-fun P_2_6_8 () Bool
    false)
  (define-fun P_6_4_5 () Bool
    false)
  (define-fun P_3_8_1 () Bool
    false)
  (define-fun P_5_8_2 () Bool
    false)
  (define-fun P_5_8_7 () Bool
    false)
  (define-fun P_4_9_8 () Bool
    false)
  (define-fun P_7_3_7 () Bool
    false)
  (define-fun P_6_6_2 () Bool
    false)
  (define-fun P_2_1_1 () Bool
    true)
  (define-fun P_4_4_9 () Bool
    false)
  (define-fun P_7_8_3 () Bool
    false)
  (define-fun P_4_9_9 () Bool
    false)
  (define-fun P_3_1_9 () Bool
    true)
  (define-fun P_6_7_6 () Bool
    false)
  (define-fun P_5_2_6 () Bool
    false)
  (define-fun P_3_6_5 () Bool
    false)
  (define-fun P_1_2_1 () Bool
    false)
  (define-fun P_2_1_5 () Bool
    false)
  (define-fun P_1_8_9 () Bool
    true)
  (define-fun P_1_2_2 () Bool
    false)
  (define-fun P_7_8_2 () Bool
    false)
  (define-fun P_4_2_6 () Bool
    false)
  (define-fun P_7_5_1 () Bool
    false)
  (define-fun P_9_1_1 () Bool
    false)
  (define-fun P_2_5_5 () Bool
    false)
  (define-fun P_8_9_2 () Bool
    false)
  (define-fun P_1_6_5 () Bool
    false)
  (define-fun P_1_7_2 () Bool
    false)
  (define-fun P_8_6_7 () Bool
    false)
  (define-fun P_9_7_6 () Bool
    false)
  (define-fun P_6_9_3 () Bool
    false)
  (define-fun P_9_6_3 () Bool
    false)
  (define-fun P_8_6_8 () Bool
    false)
  (define-fun P_9_4_3 () Bool
    false)
  (define-fun P_8_3_6 () Bool
    false)
  (define-fun P_8_8_1 () Bool
    false)
  (define-fun P_3_4_6 () Bool
    false)
  (define-fun P_4_4_8 () Bool
    false)
  (define-fun P_2_8_5 () Bool
    false)
  (define-fun P_4_7_1 () Bool
    false)
  (define-fun P_9_2_8 () Bool
    false)
  (define-fun P_2_1_8 () Bool
    false)
  (define-fun P_5_6_1 () Bool
    false)
  (define-fun P_3_3_1 () Bool
    false)
  (define-fun P_9_7_2 () Bool
    false)
  (define-fun P_8_1_9 () Bool
    false)
  (define-fun P_1_2_3 () Bool
    false)
  (define-fun P_6_2_3 () Bool
    false)
  (define-fun P_5_3_7 () Bool
    false)
  (define-fun P_9_3_9 () Bool
    false)
  (define-fun P_7_5_9 () Bool
    false)
  (define-fun P_1_7_6 () Bool
    false)
  (define-fun P_8_5_7 () Bool
    false)
  (define-fun P_9_2_5 () Bool
    false)
  (define-fun P_2_5_8 () Bool
    false)
  (define-fun P_7_6_2 () Bool
    false)
  (define-fun P_3_2_7 () Bool
    false)
  (define-fun P_2_8_4 () Bool
    false)
  (define-fun P_5_6_7 () Bool
    false)
  (define-fun P_4_9_1 () Bool
    false)
  (define-fun P_5_5_8 () Bool
    false)
  (define-fun P_9_1_7 () Bool
    false)
  (define-fun P_6_2_5 () Bool
    false)
  (define-fun P_2_1_6 () Bool
    false)
  (define-fun P_3_6_4 () Bool
    false)
  (define-fun P_4_2_1 () Bool
    false)
  (define-fun P_8_2_2 () Bool
    false)
  (define-fun P_1_5_2 () Bool
    false)
  (define-fun P_2_5_2 () Bool
    false)
  (define-fun P_3_7_2 () Bool
    false)
  (define-fun P_9_4_8 () Bool
    true)
  (define-fun P_6_9_4 () Bool
    true)
  (define-fun P_8_5_8 () Bool
    false)
  (define-fun P_5_6_5 () Bool
    false)
  (define-fun P_6_7_9 () Bool
    false)
  (define-fun P_9_8_1 () Bool
    false)
  (define-fun P_5_9_8 () Bool
    false)
  (define-fun P_8_2_7 () Bool
    false)
  (define-fun P_1_5_8 () Bool
    true)
  (define-fun P_5_9_6 () Bool
    false)
  (define-fun P_4_3_9 () Bool
    false)
  (define-fun P_7_6_9 () Bool
    false)
  (define-fun P_8_9_6 () Bool
    false)
  (define-fun P_4_5_5 () Bool
    false)
  (define-fun P_2_3_6 () Bool
    false)
  (define-fun P_4_3_5 () Bool
    false)
  (define-fun P_6_4_1 () Bool
    false)
  (define-fun P_5_7_4 () Bool
    false)
  (define-fun P_3_2_5 () Bool
    true)
  (define-fun P_8_9_4 () Bool
    false)
  (define-fun P_2_3_3 () Bool
    false)
  (define-fun P_9_9_5 () Bool
    false)
  (define-fun P_5_1_8 () Bool
    false)
  (define-fun P_4_3_8 () Bool
    false)
  (define-fun P_6_8_1 () Bool
    false)
  (define-fun P_3_5_4 () Bool
    false)
  (define-fun P_6_6_3 () Bool
    false)
  (define-fun P_6_9_5 () Bool
    false)
  (define-fun P_7_4_6 () Bool
    false)
  (define-fun P_6_6_5 () Bool
    false)
  (define-fun P_5_4_3 () Bool
    false)
  (define-fun P_5_7_6 () Bool
    false)
  (define-fun P_4_3_2 () Bool
    false)
  (define-fun P_4_9_4 () Bool
    false)
  (define-fun P_8_9_5 () Bool
    false)
  (define-fun P_7_5_3 () Bool
    false)
  (define-fun P_7_5_5 () Bool
    false)
  (define-fun P_5_4_7 () Bool
    false)
  (define-fun P_8_2_9 () Bool
    false)
  (define-fun P_7_3_5 () Bool
    true)
  (define-fun P_1_4_2 () Bool
    false)
  (define-fun P_7_2_4 () Bool
    false)
  (define-fun P_4_5_9 () Bool
    false)
  (define-fun P_9_6_8 () Bool
    false)
  (define-fun P_6_5_3 () Bool
    false)
  (define-fun P_9_3_3 () Bool
    false)
  (define-fun P_4_6_7 () Bool
    true)
  (define-fun P_7_5_2 () Bool
    false)
  (define-fun P_9_1_2 () Bool
    false)
  (define-fun P_8_1_4 () Bool
    false)
  (define-fun P_9_9_7 () Bool
    false)
  (define-fun P_2_9_9 () Bool
    false)
  (define-fun P_3_9_7 () Bool
    false)
  (define-fun P_3_3_9 () Bool
    false)
  (define-fun P_2_6_1 () Bool
    false)
  (define-fun P_9_5_6 () Bool
    false)
  (define-fun P_7_5_4 () Bool
    false)
  (define-fun P_2_9_1 () Bool
    false)
  (define-fun P_4_5_3 () Bool
    false)
  (define-fun P_2_3_2 () Bool
    false)
  (define-fun P_3_1_5 () Bool
    false)
  (define-fun P_1_6_9 () Bool
    false)
  (define-fun P_6_4_4 () Bool
    false)
  (define-fun P_7_8_9 () Bool
    false)
  (define-fun P_6_2_6 () Bool
    false)
  (define-fun P_8_4_3 () Bool
    false)
  (define-fun P_8_6_2 () Bool
    true)
  (define-fun P_2_7_4 () Bool
    false)
  (define-fun P_5_8_5 () Bool
    false)
  (define-fun P_7_9_3 () Bool
    false)
  (define-fun P_5_2_9 () Bool
    false)
  (define-fun P_4_3_3 () Bool
    false)
  (define-fun P_9_6_1 () Bool
    true)
  (define-fun P_6_6_1 () Bool
    false)
  (define-fun P_3_7_3 () Bool
    false)
  (define-fun P_4_9_3 () Bool
    true)
  (define-fun P_8_4_6 () Bool
    false)
  (define-fun P_1_6_2 () Bool
    false)
  (define-fun P_5_2_4 () Bool
    false)
  (define-fun P_1_3_6 () Bool
    false)
  (define-fun P_3_4_1 () Bool
    false)
  (define-fun P_1_7_7 () Bool
    false)
  (define-fun P_2_4_8 () Bool
    false)
  (define-fun P_6_4_2 () Bool
    false)
  (define-fun P_7_7_9 () Bool
    false)
  (define-fun P_4_2_8 () Bool
    true)
  (define-fun P_1_6_7 () Bool
    false)
  (define-fun P_1_6_6 () Bool
    false)
  (define-fun P_3_6_9 () Bool
    false)
  (define-fun P_8_7_2 () Bool
    false)
  (define-fun P_5_7_9 () Bool
    false)
  (define-fun P_3_6_2 () Bool
    false)
  (define-fun P_3_6_3 () Bool
    true)
  (define-fun P_4_6_4 () Bool
    false)
  (define-fun P_5_5_3 () Bool
    true)
  (define-fun P_7_1_1 () Bool
    false)
  (define-fun P_5_9_1 () Bool
    false)
  (define-fun P_4_6_3 () Bool
    false)
  (define-fun P_9_9_9 () Bool
    true)
  (define-fun P_7_7_5 () Bool
    false)
  (define-fun P_3_3_6 () Bool
    false)
  (define-fun P_4_6_9 () Bool
    false)
  (define-fun P_8_5_2 () Bool
    false)
  (define-fun P_3_4_7 () Bool
    false)
  (define-fun P_4_3_6 () Bool
    true)
  (define-fun P_9_3_8 () Bool
    false)
  (define-fun P_6_5_7 () Bool
    false)
  (define-fun P_9_5_3 () Bool
    false)
  (define-fun P_9_6_4 () Bool
    false)
  (define-fun P_4_1_7 () Bool
    false)
  (define-fun P_8_8_2 () Bool
    false)
  (define-fun P_2_7_5 () Bool
    false)
  (define-fun P_1_8_3 () Bool
    false)
  (define-fun P_8_9_7 () Bool
    false)
  (define-fun P_5_3_5 () Bool
    false)
  (define-fun P_1_9_5 () Bool
    false)
  (define-fun P_1_1_8 () Bool
    false)
  (define-fun P_1_5_3 () Bool
    false)
  (define-fun P_6_1_1 () Bool
    false)
  (define-fun P_2_9_2 () Bool
    false)
  (define-fun P_2_2_2 () Bool
    false)
  (define-fun P_8_7_1 () Bool
    false)
  (define-fun P_5_4_9 () Bool
    false)
  (define-fun P_8_5_5 () Bool
    false)
  (define-fun P_1_1_5 () Bool
    false)
  (define-fun P_1_6_8 () Bool
    false)
  (define-fun P_6_9_8 () Bool
    false)
  (define-fun P_4_7_9 () Bool
    true)
  (define-fun P_5_5_6 () Bool
    false)
  (define-fun P_2_9_3 () Bool
    false)
  (define-fun P_5_1_3 () Bool
    false)
  (define-fun P_6_5_2 () Bool
    false)
  (define-fun P_2_2_4 () Bool
    true)
  (define-fun P_6_4_7 () Bool
    false)
  (define-fun P_8_8_4 () Bool
    false)
  (define-fun P_6_8_5 () Bool
    false)
  (define-fun P_9_1_3 () Bool
    false)
  (define-fun P_6_3_3 () Bool
    true)
  (define-fun P_8_5_3 () Bool
    false)
  (define-fun P_1_2_6 () Bool
    true)
  (define-fun P_7_2_6 () Bool
    false)
  (define-fun P_1_9_6 () Bool
    false)
  (define-fun P_9_6_9 () Bool
    false)
  (define-fun P_4_7_8 () Bool
    false)
  (define-fun P_8_5_4 () Bool
    true)
  (define-fun P_3_9_8 () Bool
    false)
  (define-fun P_3_5_8 () Bool
    false)
  (define-fun P_2_2_3 () Bool
    false)
  (define-fun P_3_7_7 () Bool
    false)
  (define-fun P_9_8_8 () Bool
    false)
  (define-fun P_2_6_9 () Bool
    false)
  (define-fun P_5_1_6 () Bool
    false)
  (define-fun P_3_3_8 () Bool
    false)
  (define-fun P_4_1_6 () Bool
    false)
  (define-fun P_1_1_6 () Bool
    false)
  (define-fun P_4_8_3 () Bool
    false)
  (define-fun P_7_1_9 () Bool
    false)
  (define-fun P_1_6_1 () Bool
    false)
  (define-fun P_2_4_7 () Bool
    true)
  (define-fun P_2_2_9 () Bool
    false)
  (define-fun P_3_5_2 () Bool
    false)
  (define-fun P_7_3_6 () Bool
    false)
  (define-fun P_8_3_1 () Bool
    true)
  (define-fun P_5_3_8 () Bool
    false)
  (define-fun P_5_5_1 () Bool
    false)
  (define-fun P_1_4_4 () Bool
    false)
  (define-fun P_4_6_2 () Bool
    false)
  (define-fun P_7_7_3 () Bool
    false)
  (define-fun P_9_3_4 () Bool
    true)
  (define-fun P_1_5_4 () Bool
    false)
  (define-fun P_9_7_7 () Bool
    false)
  (define-fun P_4_3_7 () Bool
    false)
  (define-fun P_9_8_7 () Bool
    true)
  (define-fun P_2_2_1 () Bool
    false)
  (define-fun P_8_2_3 () Bool
    true)
  (define-fun P_9_9_2 () Bool
    false)
  (define-fun P_2_4_6 () Bool
    false)
  (define-fun P_2_8_2 () Bool
    false)
  (define-fun P_7_1_4 () Bool
    false)
  (define-fun P_6_3_1 () Bool
    false)
  (define-fun P_4_1_2 () Bool
    false)
  (define-fun P_9_4_9 () Bool
    false)
  (define-fun P_5_2_8 () Bool
    false)
  (define-fun P_7_3_2 () Bool
    false)
  (define-fun P_9_7_3 () Bool
    true)
  (define-fun P_6_1_7 () Bool
    false)
  (define-fun P_6_9_2 () Bool
    false)
  (define-fun P_1_9_4 () Bool
    false)
  (define-fun P_4_9_6 () Bool
    false)
  (define-fun P_9_5_1 () Bool
    false)
  (define-fun P_4_2_7 () Bool
    false)
  (define-fun P_7_1_7 () Bool
    false)
  (define-fun P_4_2_3 () Bool
    false)
  (define-fun P_3_3_4 () Bool
    false)
  (define-fun P_5_3_9 () Bool
    true)
  (define-fun P_1_4_1 () Bool
    true)
  (define-fun P_8_1_3 () Bool
    false)
  (define-fun P_3_6_8 () Bool
    false)
  (define-fun P_9_5_9 () Bool
    false)
  (define-fun P_5_7_2 () Bool
    false)
  (define-fun P_8_2_5 () Bool
    false)
  (define-fun P_3_4_2 () Bool
    true)
  (define-fun P_1_3_2 () Bool
    true)
  (define-fun P_8_5_9 () Bool
    false)
  (define-fun P_6_6_6 () Bool
    false)
  (define-fun P_3_1_8 () Bool
    false)
  (define-fun P_1_2_7 () Bool
    false)
  (define-fun P_2_7_1 () Bool
    false)
  (define-fun P_8_7_4 () Bool
    false)
  (define-fun P_7_7_6 () Bool
    false)
  (define-fun P_8_7_6 () Bool
    true)
  (define-fun P_2_1_2 () Bool
    false)
  (define-fun P_7_1_3 () Bool
    false)
  (define-fun P_6_1_2 () Bool
    false)
  (define-fun P_6_1_8 () Bool
    false)
  (define-fun P_4_7_4 () Bool
    false)
  (define-fun P_1_7_4 () Bool
    false)
  (define-fun P_3_7_8 () Bool
    false)
  (define-fun P_3_8_2 () Bool
    false)
  (define-fun P_4_8_4 () Bool
    false)
  (define-fun P_7_8_8 () Bool
    false)
  (define-fun P_6_5_6 () Bool
    false)
  (define-fun P_7_6_1 () Bool
    false)
  (define-fun P_1_1_1 () Bool
    false)
  (define-fun P_1_4_5 () Bool
    false)
  (define-fun P_8_4_5 () Bool
    false)
  (define-fun P_8_6_6 () Bool
    false)
  (define-fun P_6_7_7 () Bool
    false)
  (define-fun P_3_9_1 () Bool
    true)
  (define-fun P_3_9_2 () Bool
    false)
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    false)
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    false)
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    false)
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    false)
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    true)
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    false)
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    true)
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    false)
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    false)
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    false)
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    false)
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    false)
  (define-fun P_4_1_4 () Bool
    true)
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    false)
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    false)
  (define-fun P_3_5_5 () Bool
    false)
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    false)
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    false)
  (define-fun P_5_8_9 () Bool
    false)
  (define-fun P_8_9_3 () Bool
    false)
  (define-fun P_3_9_5 () Bool
    false)
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    false)
  (define-fun P_6_2_9 () Bool
    false)
  (define-fun P_1_4_3 () Bool
    false)
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    true)
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    false)
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    true)
  (define-fun P_4_5_8 () Bool
    false)
  (define-fun P_8_8_3 () Bool
    false)
  (define-fun P_3_5_1 () Bool
    false)
  (define-fun P_6_3_8 () Bool
    false)
  (define-fun P_9_3_7 () Bool
    false)
  (define-fun P_2_7_8 () Bool
    false)
  (define-fun P_9_9_4 () Bool
    false)
  (define-fun P_2_5_1 () Bool
    false)
  (define-fun P_4_6_1 () Bool
    false)
  (define-fun P_5_6_3 () Bool
    false)
  (define-fun P_9_1_8 () Bool
    false)
  (define-fun P_5_1_2 () Bool
    true)
  (define-fun P_6_2_1 () Bool
    false)
  (define-fun P_2_2_8 () Bool
    false)
  (define-fun P_9_4_4 () Bool
    false)
  (define-fun P_7_8_6 () Bool
    false)
  (define-fun P_6_2_8 () Bool
    false)
  (define-fun P_4_4_3 () Bool
    false)
  (define-fun P_4_9_5 () Bool
    false)
  (define-fun P_7_2_2 () Bool
    false)
  (define-fun P_4_2_5 () Bool
    false)
  (define-fun P_2_8_6 () Bool
    false)
  (define-fun P_2_5_9 () Bool
    true)
  (define-fun P_4_2_2 () Bool
    false)
  (define-fun P_3_8_6 () Bool
    false)
  (define-fun P_3_2_2 () Bool
    false)
  (define-fun P_9_3_1 () Bool
    false)
  (define-fun P_8_7_9 () Bool
    false)
  (define-fun P_5_9_4 () Bool
    false)
  (define-fun P_6_7_1 () Bool
    false)
  (define-fun P_6_2_4 () Bool
    false)
  (define-fun P_3_2_8 () Bool
    false)
  (define-fun P_5_3_6 () Bool
    false)
  (define-fun P_3_2_4 () Bool
    false)
  (define-fun P_7_3_9 () Bool
    false)
  (define-fun P_3_7_6 () Bool
    false)
  (define-fun P_5_9_7 () Bool
    false)
  (define-fun P_8_3_5 () Bool
    false)
  (define-fun P_7_7_2 () Bool
    false)
  (define-fun P_9_7_1 () Bool
    false)
  (define-fun P_6_5_4 () Bool
    false)
  (define-fun P_3_1_7 () Bool
    false)
  (define-fun P_1_9_3 () Bool
    false)
  (define-fun P_3_9_9 () Bool
    false)
  (define-fun P_2_2_5 () Bool
    false)
  (define-fun P_2_6_4 () Bool
    false)
  (define-fun P_7_6_8 () Bool
    false)
  (define-fun P_6_9_1 () Bool
    false)
  (define-fun P_9_3_2 () Bool
    false)
  (define-fun P_8_6_5 () Bool
    false)
  (define-fun P_6_1_5 () Bool
    true)
  (define-fun P_3_1_3 () Bool
    false)
  (define-fun P_7_1_6 () Bool
    false)
  (define-fun P_3_3_3 () Bool
    false)
  (define-fun P_3_4_4 () Bool
    false)
  (define-fun P_5_2_2 () Bool
    false)
  (define-fun P_2_4_3 () Bool
    false)
  (define-fun P_6_5_8 () Bool
    false)
  (define-fun P_5_2_3 () Bool
    false)
  (define-fun P_7_3_8 () Bool
    false)
  (define-fun P_6_6_9 () Bool
    true)
  (define-fun P_1_3_9 () Bool
    false)
  (define-fun P_8_6_4 () Bool
    false)
  (define-fun P_5_3_1 () Bool
    false)
  (define-fun P_2_6_5 () Bool
    true)
  (define-fun P_3_4_9 () Bool
    false)
  (define-fun P_9_8_4 () Bool
    false)
  (define-fun P_7_7_8 () Bool
    false)
  (define-fun P_1_7_9 () Bool
    false)
  (define-fun P_9_5_2 () Bool
    false)
  (define-fun P_9_2_3 () Bool
    false)
  (define-fun P_5_3_3 () Bool
    false)
  (define-fun P_7_4_8 () Bool
    false)
  (define-fun P_6_3_5 () Bool
    false)
  (define-fun P_9_6_5 () Bool
    false)
  (define-fun P_1_3_5 () Bool
    false)
  (define-fun P_5_8_3 () Bool
    false)
  (define-fun P_2_4_1 () Bool
    false)
  (define-fun P_4_2_9 () Bool
    false)
  (define-fun P_3_6_6 () Bool
    false)
  (define-fun P_2_3_1 () Bool
    false)
  (define-fun P_5_9_2 () Bool
    false)
  (define-fun P_8_2_4 () Bool
    false)
  (define-fun P_7_9_8 () Bool
    false)
  (define-fun P_7_4_1 () Bool
    false)
  (define-fun P_8_6_1 () Bool
    false)
  (define-fun P_8_7_3 () Bool
    false)
  (define-fun P_6_7_2 () Bool
    false)
  (define-fun P_1_7_3 () Bool
    false)
  (define-fun P_6_3_2 () Bool
    false)
  (define-fun P_2_3_9 () Bool
    false)
  (define-fun P_7_5_6 () Bool
    false)
  (define-fun P_1_4_8 () Bool
    false)
  (define-fun P_1_8_7 () Bool
    false)
  (define-fun P_2_8_9 () Bool
    false)
  (define-fun P_4_4_2 () Bool
    false)
  (define-fun P_9_4_1 () Bool
    false)
  (define-fun P_5_5_4 () Bool
    false)
  (define-fun P_3_8_3 () Bool
    false)
  (define-fun P_8_8_7 () Bool
    false)
  (define-fun P_9_9_3 () Bool
    false)
  (define-fun P_7_9_7 () Bool
    false)
  (define-fun P_1_4_7 () Bool
    false)
  (define-fun P_1_5_1 () Bool
    false)
  (define-fun P_8_2_6 () Bool
    false)
  (define-fun P_5_2_7 () Bool
    false)
  (define-fun P_8_8_8 () Bool
    false)
  (define-fun P_4_7_6 () Bool
    false)
  (define-fun P_7_5_7 () Bool
    true)
  (define-fun P_9_2_2 () Bool
    true)
  (define-fun P_8_3_4 () Bool
    false)
  (define-fun P_2_6_7 () Bool
    false)
  (define-fun P_1_4_9 () Bool
    false)
  (define-fun P_9_4_5 () Bool
    false)
  (define-fun P_2_8_1 () Bool
    false)
  (define-fun P_5_8_8 () Bool
    false)
  (define-fun P_1_9_1 () Bool
    false)
  (define-fun P_7_9_4 () Bool
    false)
  (define-fun P_9_9_8 () Bool
    false)
  (define-fun P_9_3_5 () Bool
    false)
  (define-fun P_3_1_2 () Bool
    false)
  (define-fun P_1_2_5 () Bool
    false)
  (define-fun P_4_3_1 () Bool
    false)
  (define-fun P_8_1_5 () Bool
    false)
  (define-fun P_6_8_2 () Bool
    true)
  (define-fun P_3_5_6 () Bool
    true)
  (define-fun P_9_2_1 () Bool
    false)
  (define-fun P_9_3_6 () Bool
    false)
  (define-fun P_6_6_7 () Bool
    false)
  (define-fun P_8_9_1 () Bool
    false)
  (define-fun P_3_9_3 () Bool
    false)
  (define-fun P_6_8_7 () Bool
    false)
  (define-fun P_8_1_8 () Bool
    false)
  (define-fun P_1_7_1 () Bool
    false)
  (define-fun P_4_5_1 () Bool
    false)
  (define-fun P_5_6_2 () Bool
    false)
  (define-fun P_7_8_4 () Bool
    true)
  (define-fun P_8_3_2 () Bool
    false)
  (define-fun P_9_5_8 () Bool
    false)
  (define-fun P_5_9_5 () Bool
    true)
  (define-fun P_1_1_9 () Bool
    false)
  (define-fun P_3_9_6 () Bool
    false)
  (define-fun P_2_4_9 () Bool
    false)
  (define-fun P_2_9_7 () Bool
    false)
  (define-fun P_2_9_8 () Bool
    false)
  (define-fun P_5_7_5 () Bool
    false)
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    false)
  (define-fun P_4_8_1 () Bool
    true)
  (define-fun P_7_9_2 () Bool
    true)
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    false)
  (define-fun P_8_4_9 () Bool
    true)
  (define-fun P_3_1_6 () Bool
    false)
  (define-fun P_8_1_1 () Bool
    false)
  (define-fun P_6_4_8 () Bool
    false)
  (define-fun P_5_7_3 () Bool
    false)
  (define-fun P_2_7_7 () Bool
    false)
  (define-fun P_9_6_2 () Bool
    false)
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    false)
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    false)
  (define-fun P_2_4_4 () Bool
    false)
  (define-fun P_4_1_3 () Bool
    false)
  (define-fun P_8_4_8 () Bool
    false)
  (define-fun P_8_8_6 () Bool
    false)
  (define-fun P_5_3_4 () Bool
    false)
  (define-fun P_2_7_6 () Bool
    false)
  (define-fun P_7_9_9 () Bool
    false)
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    false)
  (define-fun P_9_1_4 () Bool
    false)
  (define-fun P_7_3_4 () Bool
    false)
  (define-fun P_2_3_5 () Bool
    false)
  (define-fun P_4_5_6 () Bool
    false)
  (define-fun P_7_6_4 () Bool
    false)
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    false)
  (define-fun P_3_2_3 () Bool
    false)
  (define-fun P_3_3_7 () Bool
    true)
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    false)
  (define-fun P_5_8_6 () Bool
    true)
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    true)
  (define-fun P_3_2_6 () Bool
    false)
  (define-fun P_2_6_2 () Bool
    false)
  (define-fun P_3_8_9 () Bool
    false)
  (define-fun P_6_1_6 () Bool
    false)
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    false)
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    false)
  (define-fun P_7_2_7 () Bool
    false)
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    false)
  (define-fun P_1_3_4 () Bool
    false)
  (define-fun P_7_6_5 () Bool
    false)
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    false)
  (define-fun P_7_2_1 () Bool
    false)
  (define-fun P_3_7_4 () Bool
    true)
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    false)
  (define-fun P_4_4_7 () Bool
    false)
  (define-fun P_5_1_7 () Bool
    false)
  (define-fun P_4_4_4 () Bool
    false)
  (define-fun P_2_5_6 () Bool
    false)
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    false)
  (define-fun P_8_3_7 () Bool
    false)
  (define-fun P_4_5_2 () Bool
    true)
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    false)
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    false)
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    false)
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    true)
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    false)
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    false)
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    false)
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    false)
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    false)
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    false)
  (define-fun P_1_8_8 () Bool
    false)
  (define-fun P_3_5_7 () Bool
    false)
  (define-fun P_6_9_6 () Bool
    false)
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    false)
  (define-fun P_1_8_2 () Bool
    false)
  (define-fun P_4_5_4 () Bool
    false)
  (define-fun P_3_8_7 () Bool
    false)
  (define-fun P_8_6_9 () Bool
    false)
  (define-fun P_1_5_5 () Bool
    false)
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    false)
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    false)
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    false)
  (define-fun P_5_9_3 () Bool
    false)
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    false)
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    false)
  (define-fun P_8_8_9 () Bool
    false)
  (define-fun P_7_9_5 () Bool
    false)
  (define-fun P_1_1_3 () Bool
    true)
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    false)
  (define-fun P_5_6_6 () Bool
    false)
  (define-fun P_6_2_2 () Bool
    false)
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    false)
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    false)
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    false)
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    true)
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    true)
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    false)
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    false)
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    false)
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    false)
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    true)
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    false)
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    false)
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    false)
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    false)
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    false)
  (define-fun P_5_4_6 () Bool
    false)
  (define-fun P_9_2_6 () Bool
    false)
  (define-fun P_8_5_1 () Bool
    false)
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    false)
  (define-fun P_6_9_9 () Bool
    false)
  (define-fun P_3_8_8 () Bool
    true)
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    false)
  (define-fun P_6_1_3 () Bool
    false)
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    false)
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    false)
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    false)
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    false)
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    false)
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    false)
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    false)
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    false)
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    false)
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    true)
  (define-fun P_7_8_7 () Bool
    false)
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    false)
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    false)
  (define-fun P_7_9_6 () Bool
    false)
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    false)
  (define-fun P_1_3_1 () Bool
    false)
  (define-fun P_7_7_7 () Bool
    false)
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    false)
  (define-fun P_6_7_4 () Bool
    false)
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    false)
  (define-fun P_3_7_1 () Bool
    false)
  (define-fun P_2_2_7 () Bool
    false)
  (define-fun P_5_4_2 () Bool
    false)
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    false)
  (define-fun P_4_8_2 () Bool
    false)
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    false)
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    false)
  (define-fun P_8_9_8 () Bool
    true)
  (define-fun P_3_5_3 () Bool
    false)
  (define-fun P_7_6_7 () Bool
    false)
  (define-fun P_6_1_4 () Bool
    false)
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    false)
  (define-fun P_5_4_4 () Bool
    true)
  (define-fun P_5_5_7 () Bool
    false)
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    false)
  (define-fun P_9_7_4 () Bool
    false)
  (define-fun P_2_3_7 () Bool
    false)
  (define-fun P_6_3_9 () Bool
    false)
  (define-fun P_6_7_5 () Bool
    false)
  (define-fun P_4_8_7 () Bool
    false)
  (define-fun P_7_9_1 () Bool
    false)
  (define-fun P_9_9_6 () Bool
    false)
  (define-fun P_7_2_5 () Bool
    false)
  (define-fun P_6_7_8 () Bool
    true)
  (define-fun P_3_3_2 () Bool
    false)
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    false)
  (define-fun P_7_5_8 () Bool
    false)
  (define-fun P_9_6_7 () Bool
    false)
  (define-fun P_7_1_5 () Bool
    false)
  (define-fun P_3_1_1 () Bool
    false)
  (define-fun P_4_4_6 () Bool
    false)
  (define-fun P_4_6_5 () Bool
    false)
  (define-fun P_4_2_4 () Bool
    false)
  (define-fun P_1_6_4 () Bool
    true)
  (define-fun P_5_9_9 () Bool
    false)
  (define-fun P_4_6_6 () Bool
    false)
  (define-fun P_3_4_5 () Bool
    false)
)