TPTP Problem File: LCL975_1.013.p

View Solutions - Solve Problem

%------------------------------------------------------------------------------
% File     : LCL975_1.013 : TPTP v9.0.0. Released v9.0.0.
% Domain   : Syntactic
% Problem  : Pigeonhole formula 13
% Version  : Especial.
% English  :

% Refs     : [BHS00] Balsiger et al. (2000), A Benchmark Method for the Pro
%          : [NH+22] Nalon et al. (2022), Local Reductions for the Modal Cu
%          : [Nal22] Nalon (2022), Email to Geoff Sutcliffe
%          : [NH+23] Nalon et al. (2023), Buy One Get 14 Free: Evaluating L
% Source   : [Nal22]
% Names    : s4_ph_n.0013 [Nal22]

% Status   : CounterSatisfiable
% Rating   : 1.00 v9.0.0
% Syntax   : Number of formulae    :  183 (   0 unt; 182 typ;   0 def)
%            Number of atoms       : 2548 (   0 equ)
%            Maximal formula atoms : 2548 (2548 avg)
%            Number of connectives : 4838 (  15   ~;1350   |;1196   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%                                         (2276 {.};   0 {#})
%            Maximal formula depth : 1190 (1190 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  182 ( 182 usr; 182 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)
% SPC      : NX0_CSA_PRP_NEQ_NAR

% Comments :
%------------------------------------------------------------------------------
tff('s4_ph_n.0013',logic,
    $modal == 
      [ $modalities == $modal_system_S4 ] ).

tff(p1001_decl,type,
    p1001: $o ).

tff(p1002_decl,type,
    p1002: $o ).

tff(p1003_decl,type,
    p1003: $o ).

tff(p1004_decl,type,
    p1004: $o ).

tff(p1005_decl,type,
    p1005: $o ).

tff(p1006_decl,type,
    p1006: $o ).

tff(p1007_decl,type,
    p1007: $o ).

tff(p1008_decl,type,
    p1008: $o ).

tff(p1009_decl,type,
    p1009: $o ).

tff(p101_decl,type,
    p101: $o ).

tff(p1010_decl,type,
    p1010: $o ).

tff(p1011_decl,type,
    p1011: $o ).

tff(p1012_decl,type,
    p1012: $o ).

tff(p1013_decl,type,
    p1013: $o ).

tff(p102_decl,type,
    p102: $o ).

tff(p103_decl,type,
    p103: $o ).

tff(p104_decl,type,
    p104: $o ).

tff(p105_decl,type,
    p105: $o ).

tff(p106_decl,type,
    p106: $o ).

tff(p107_decl,type,
    p107: $o ).

tff(p108_decl,type,
    p108: $o ).

tff(p109_decl,type,
    p109: $o ).

tff(p110_decl,type,
    p110: $o ).

tff(p1101_decl,type,
    p1101: $o ).

tff(p1102_decl,type,
    p1102: $o ).

tff(p1103_decl,type,
    p1103: $o ).

tff(p1104_decl,type,
    p1104: $o ).

tff(p1105_decl,type,
    p1105: $o ).

tff(p1106_decl,type,
    p1106: $o ).

tff(p1107_decl,type,
    p1107: $o ).

tff(p1108_decl,type,
    p1108: $o ).

tff(p1109_decl,type,
    p1109: $o ).

tff(p111_decl,type,
    p111: $o ).

tff(p1110_decl,type,
    p1110: $o ).

tff(p1111_decl,type,
    p1111: $o ).

tff(p1112_decl,type,
    p1112: $o ).

tff(p1113_decl,type,
    p1113: $o ).

tff(p112_decl,type,
    p112: $o ).

tff(p113_decl,type,
    p113: $o ).

tff(p1201_decl,type,
    p1201: $o ).

tff(p1202_decl,type,
    p1202: $o ).

tff(p1203_decl,type,
    p1203: $o ).

tff(p1204_decl,type,
    p1204: $o ).

tff(p1205_decl,type,
    p1205: $o ).

tff(p1206_decl,type,
    p1206: $o ).

tff(p1207_decl,type,
    p1207: $o ).

tff(p1208_decl,type,
    p1208: $o ).

tff(p1209_decl,type,
    p1209: $o ).

tff(p1210_decl,type,
    p1210: $o ).

tff(p1211_decl,type,
    p1211: $o ).

tff(p1212_decl,type,
    p1212: $o ).

tff(p1213_decl,type,
    p1213: $o ).

tff(p1301_decl,type,
    p1301: $o ).

tff(p1302_decl,type,
    p1302: $o ).

tff(p1303_decl,type,
    p1303: $o ).

tff(p1304_decl,type,
    p1304: $o ).

tff(p1305_decl,type,
    p1305: $o ).

tff(p1306_decl,type,
    p1306: $o ).

tff(p1307_decl,type,
    p1307: $o ).

tff(p1308_decl,type,
    p1308: $o ).

tff(p1309_decl,type,
    p1309: $o ).

tff(p1310_decl,type,
    p1310: $o ).

tff(p1311_decl,type,
    p1311: $o ).

tff(p1312_decl,type,
    p1312: $o ).

tff(p1313_decl,type,
    p1313: $o ).

tff(p1401_decl,type,
    p1401: $o ).

tff(p1402_decl,type,
    p1402: $o ).

tff(p1403_decl,type,
    p1403: $o ).

tff(p1404_decl,type,
    p1404: $o ).

tff(p1405_decl,type,
    p1405: $o ).

tff(p1406_decl,type,
    p1406: $o ).

tff(p1407_decl,type,
    p1407: $o ).

tff(p1408_decl,type,
    p1408: $o ).

tff(p1409_decl,type,
    p1409: $o ).

tff(p1410_decl,type,
    p1410: $o ).

tff(p1411_decl,type,
    p1411: $o ).

tff(p1412_decl,type,
    p1412: $o ).

tff(p1413_decl,type,
    p1413: $o ).

tff(p201_decl,type,
    p201: $o ).

tff(p202_decl,type,
    p202: $o ).

tff(p203_decl,type,
    p203: $o ).

tff(p204_decl,type,
    p204: $o ).

tff(p205_decl,type,
    p205: $o ).

tff(p206_decl,type,
    p206: $o ).

tff(p207_decl,type,
    p207: $o ).

tff(p208_decl,type,
    p208: $o ).

tff(p209_decl,type,
    p209: $o ).

tff(p210_decl,type,
    p210: $o ).

tff(p211_decl,type,
    p211: $o ).

tff(p212_decl,type,
    p212: $o ).

tff(p213_decl,type,
    p213: $o ).

tff(p301_decl,type,
    p301: $o ).

tff(p302_decl,type,
    p302: $o ).

tff(p303_decl,type,
    p303: $o ).

tff(p304_decl,type,
    p304: $o ).

tff(p305_decl,type,
    p305: $o ).

tff(p306_decl,type,
    p306: $o ).

tff(p307_decl,type,
    p307: $o ).

tff(p308_decl,type,
    p308: $o ).

tff(p309_decl,type,
    p309: $o ).

tff(p310_decl,type,
    p310: $o ).

tff(p311_decl,type,
    p311: $o ).

tff(p312_decl,type,
    p312: $o ).

tff(p313_decl,type,
    p313: $o ).

tff(p401_decl,type,
    p401: $o ).

tff(p402_decl,type,
    p402: $o ).

tff(p403_decl,type,
    p403: $o ).

tff(p404_decl,type,
    p404: $o ).

tff(p405_decl,type,
    p405: $o ).

tff(p406_decl,type,
    p406: $o ).

tff(p407_decl,type,
    p407: $o ).

tff(p408_decl,type,
    p408: $o ).

tff(p409_decl,type,
    p409: $o ).

tff(p410_decl,type,
    p410: $o ).

tff(p411_decl,type,
    p411: $o ).

tff(p412_decl,type,
    p412: $o ).

tff(p413_decl,type,
    p413: $o ).

tff(p501_decl,type,
    p501: $o ).

tff(p502_decl,type,
    p502: $o ).

tff(p503_decl,type,
    p503: $o ).

tff(p504_decl,type,
    p504: $o ).

tff(p505_decl,type,
    p505: $o ).

tff(p506_decl,type,
    p506: $o ).

tff(p507_decl,type,
    p507: $o ).

tff(p508_decl,type,
    p508: $o ).

tff(p509_decl,type,
    p509: $o ).

tff(p510_decl,type,
    p510: $o ).

tff(p511_decl,type,
    p511: $o ).

tff(p512_decl,type,
    p512: $o ).

tff(p513_decl,type,
    p513: $o ).

tff(p601_decl,type,
    p601: $o ).

tff(p602_decl,type,
    p602: $o ).

tff(p603_decl,type,
    p603: $o ).

tff(p604_decl,type,
    p604: $o ).

tff(p605_decl,type,
    p605: $o ).

tff(p606_decl,type,
    p606: $o ).

tff(p607_decl,type,
    p607: $o ).

tff(p608_decl,type,
    p608: $o ).

tff(p609_decl,type,
    p609: $o ).

tff(p610_decl,type,
    p610: $o ).

tff(p611_decl,type,
    p611: $o ).

tff(p612_decl,type,
    p612: $o ).

tff(p613_decl,type,
    p613: $o ).

tff(p701_decl,type,
    p701: $o ).

tff(p702_decl,type,
    p702: $o ).

tff(p703_decl,type,
    p703: $o ).

tff(p704_decl,type,
    p704: $o ).

tff(p705_decl,type,
    p705: $o ).

tff(p706_decl,type,
    p706: $o ).

tff(p707_decl,type,
    p707: $o ).

tff(p708_decl,type,
    p708: $o ).

tff(p709_decl,type,
    p709: $o ).

tff(p710_decl,type,
    p710: $o ).

tff(p711_decl,type,
    p711: $o ).

tff(p712_decl,type,
    p712: $o ).

tff(p713_decl,type,
    p713: $o ).

tff(p801_decl,type,
    p801: $o ).

tff(p802_decl,type,
    p802: $o ).

tff(p803_decl,type,
    p803: $o ).

tff(p804_decl,type,
    p804: $o ).

tff(p805_decl,type,
    p805: $o ).

tff(p806_decl,type,
    p806: $o ).

tff(p807_decl,type,
    p807: $o ).

tff(p808_decl,type,
    p808: $o ).

tff(p809_decl,type,
    p809: $o ).

tff(p810_decl,type,
    p810: $o ).

tff(p811_decl,type,
    p811: $o ).

tff(p812_decl,type,
    p812: $o ).

tff(p813_decl,type,
    p813: $o ).

tff(p901_decl,type,
    p901: $o ).

tff(p902_decl,type,
    p902: $o ).

tff(p903_decl,type,
    p903: $o ).

tff(p904_decl,type,
    p904: $o ).

tff(p905_decl,type,
    p905: $o ).

tff(p906_decl,type,
    p906: $o ).

tff(p907_decl,type,
    p907: $o ).

tff(p908_decl,type,
    p908: $o ).

tff(p909_decl,type,
    p909: $o ).

tff(p910_decl,type,
    p910: $o ).

tff(p911_decl,type,
    p911: $o ).

tff(p912_decl,type,
    p912: $o ).

tff(p913_decl,type,
    p913: $o ).

tff(prove,conjecture,
    ~ ~ ( ( ( p101
            | [.] p102
            | [.] p103
            | [.] p104
            | [.] p105
            | [.] p106
            | [.] p107
            | [.] p108
            | [.] p109
            | [.] p110
            | [.] p111
            | [.] p112
            | [.] p113 )
          & ( p201
            | p202
            | [.] p203
            | [.] p204
            | [.] p205
            | [.] p206
            | [.] p207
            | [.] p208
            | [.] p209
            | [.] p210
            | [.] p211
            | [.] p212
            | [.] p213 )
          & ( p301
            | p302
            | p303
            | [.] p304
            | [.] p305
            | [.] p306
            | [.] p307
            | [.] p308
            | [.] p309
            | [.] p310
            | [.] p311
            | [.] p312
            | [.] p313 )
          & ( p401
            | p402
            | p403
            | p404
            | [.] p405
            | [.] p406
            | [.] p407
            | [.] p408
            | [.] p409
            | [.] p410
            | [.] p411
            | [.] p412
            | [.] p413 )
          & ( p501
            | p502
            | p503
            | p504
            | p505
            | [.] p506
            | [.] p507
            | [.] p508
            | [.] p509
            | [.] p510
            | [.] p511
            | [.] p512
            | [.] p513 )
          & ( p601
            | p602
            | p603
            | p604
            | p605
            | p606
            | [.] p607
            | [.] p608
            | [.] p609
            | [.] p610
            | [.] p611
            | [.] p612
            | [.] p613 )
          & ( p701
            | p702
            | p703
            | p704
            | p705
            | p706
            | p707
            | [.] p708
            | [.] p709
            | [.] p710
            | [.] p711
            | [.] p712
            | [.] p713 )
          & ( p801
            | p802
            | p803
            | p804
            | p805
            | p806
            | p807
            | p808
            | [.] p809
            | [.] p810
            | [.] p811
            | [.] p812
            | [.] p813 )
          & ( p901
            | p902
            | p903
            | p904
            | p905
            | p906
            | p907
            | p908
            | p909
            | [.] p910
            | [.] p911
            | [.] p912
            | [.] p913 )
          & ( p1001
            | p1002
            | p1003
            | p1004
            | p1005
            | p1006
            | p1007
            | p1008
            | p1009
            | p1010
            | [.] p1011
            | [.] p1012
            | [.] p1013 )
          & ( p1101
            | p1102
            | p1103
            | p1104
            | p1105
            | p1106
            | p1107
            | p1108
            | p1109
            | p1110
            | p1111
            | [.] p1112
            | [.] p1113 )
          & ( p1201
            | p1202
            | p1203
            | p1204
            | p1205
            | p1206
            | p1207
            | p1208
            | p1209
            | p1210
            | p1211
            | p1212
            | [.] p1213 )
          & ( p1301
            | p1302
            | p1303
            | p1304
            | p1305
            | p1306
            | p1307
            | p1308
            | p1309
            | p1310
            | p1311
            | p1312
            | p1313 )
          & ( p1401
            | p1402
            | p1403
            | p1404
            | p1405
            | p1406
            | p1407
            | p1408
            | p1409
            | p1410
            | p1411
            | p1412
            | p1413 ) )
       => <.> ( <.> ( p101
                    & p201 )
              | <.> ( p101
                    & p301 )
              | <.> ( p101
                    & p401 )
              | <.> ( p101
                    & p501 )
              | <.> ( p101
                    & p601 )
              | <.> ( p101
                    & p701 )
              | <.> ( p101
                    & p801 )
              | <.> ( p101
                    & p901 )
              | <.> ( p101
                    & p1001 )
              | <.> ( p101
                    & p1101 )
              | <.> ( p101
                    & p1201 )
              | <.> ( p101
                    & p1301 )
              | <.> ( p101
                    & p1401 )
              | <.> ( p201
                    & p301 )
              | <.> ( p201
                    & p401 )
              | <.> ( p201
                    & p501 )
              | <.> ( p201
                    & p601 )
              | <.> ( p201
                    & p701 )
              | <.> ( p201
                    & p801 )
              | <.> ( p201
                    & p901 )
              | <.> ( p201
                    & p1001 )
              | <.> ( p201
                    & p1101 )
              | <.> ( p201
                    & p1201 )
              | <.> ( p201
                    & p1301 )
              | <.> ( p201
                    & p1401 )
              | <.> ( p301
                    & p401 )
              | <.> ( p301
                    & p501 )
              | <.> ( p301
                    & p601 )
              | <.> ( p301
                    & p701 )
              | <.> ( p301
                    & p801 )
              | <.> ( p301
                    & p901 )
              | <.> ( p301
                    & p1001 )
              | <.> ( p301
                    & p1101 )
              | <.> ( p301
                    & p1201 )
              | <.> ( p301
                    & p1301 )
              | <.> ( p301
                    & p1401 )
              | <.> ( p401
                    & p501 )
              | <.> ( p401
                    & p601 )
              | <.> ( p401
                    & p701 )
              | <.> ( p401
                    & p801 )
              | <.> ( p401
                    & p901 )
              | <.> ( p401
                    & p1001 )
              | <.> ( p401
                    & p1101 )
              | <.> ( p401
                    & p1201 )
              | <.> ( p401
                    & p1301 )
              | <.> ( p401
                    & p1401 )
              | <.> ( p501
                    & p601 )
              | <.> ( p501
                    & p701 )
              | <.> ( p501
                    & p801 )
              | <.> ( p501
                    & p901 )
              | <.> ( p501
                    & p1001 )
              | <.> ( p501
                    & p1101 )
              | <.> ( p501
                    & p1201 )
              | <.> ( p501
                    & p1301 )
              | <.> ( p501
                    & p1401 )
              | <.> ( p601
                    & p701 )
              | <.> ( p601
                    & p801 )
              | <.> ( p601
                    & p901 )
              | <.> ( p601
                    & p1001 )
              | <.> ( p601
                    & p1101 )
              | <.> ( p601
                    & p1201 )
              | <.> ( p601
                    & p1301 )
              | <.> ( p601
                    & p1401 )
              | <.> ( p701
                    & p801 )
              | <.> ( p701
                    & p901 )
              | <.> ( p701
                    & p1001 )
              | <.> ( p701
                    & p1101 )
              | <.> ( p701
                    & p1201 )
              | <.> ( p701
                    & p1301 )
              | <.> ( p701
                    & p1401 )
              | <.> ( p801
                    & p901 )
              | <.> ( p801
                    & p1001 )
              | <.> ( p801
                    & p1101 )
              | <.> ( p801
                    & p1201 )
              | <.> ( p801
                    & p1301 )
              | <.> ( p801
                    & p1401 )
              | <.> ( p901
                    & p1001 )
              | <.> ( p901
                    & p1101 )
              | <.> ( p901
                    & p1201 )
              | <.> ( p901
                    & p1301 )
              | <.> ( p901
                    & p1401 )
              | <.> ( p1001
                    & p1101 )
              | <.> ( p1001
                    & p1201 )
              | <.> ( p1001
                    & p1301 )
              | <.> ( p1001
                    & p1401 )
              | <.> ( p1101
                    & p1201 )
              | <.> ( p1101
                    & p1301 )
              | <.> ( p1101
                    & p1401 )
              | <.> ( p1201
                    & p1301 )
              | <.> ( p1201
                    & p1401 )
              | <.> ( p1301
                    & p1401 )
              | <.> ( [.] p102
                    & p202 )
              | <.> ( [.] p102
                    & p302 )
              | <.> ( [.] p102
                    & p402 )
              | <.> ( [.] p102
                    & p502 )
              | <.> ( [.] p102
                    & p602 )
              | <.> ( [.] p102
                    & p702 )
              | <.> ( [.] p102
                    & p802 )
              | <.> ( [.] p102
                    & p902 )
              | <.> ( [.] p102
                    & p1002 )
              | <.> ( [.] p102
                    & p1102 )
              | <.> ( [.] p102
                    & p1202 )
              | <.> ( [.] p102
                    & p1302 )
              | <.> ( [.] p102
                    & p1402 )
              | <.> ( p202
                    & p302 )
              | <.> ( p202
                    & p402 )
              | <.> ( p202
                    & p502 )
              | <.> ( p202
                    & p602 )
              | <.> ( p202
                    & p702 )
              | <.> ( p202
                    & p802 )
              | <.> ( p202
                    & p902 )
              | <.> ( p202
                    & p1002 )
              | <.> ( p202
                    & p1102 )
              | <.> ( p202
                    & p1202 )
              | <.> ( p202
                    & p1302 )
              | <.> ( p202
                    & p1402 )
              | <.> ( p302
                    & p402 )
              | <.> ( p302
                    & p502 )
              | <.> ( p302
                    & p602 )
              | <.> ( p302
                    & p702 )
              | <.> ( p302
                    & p802 )
              | <.> ( p302
                    & p902 )
              | <.> ( p302
                    & p1002 )
              | <.> ( p302
                    & p1102 )
              | <.> ( p302
                    & p1202 )
              | <.> ( p302
                    & p1302 )
              | <.> ( p302
                    & p1402 )
              | <.> ( p402
                    & p502 )
              | <.> ( p402
                    & p602 )
              | <.> ( p402
                    & p702 )
              | <.> ( p402
                    & p802 )
              | <.> ( p402
                    & p902 )
              | <.> ( p402
                    & p1002 )
              | <.> ( p402
                    & p1102 )
              | <.> ( p402
                    & p1202 )
              | <.> ( p402
                    & p1302 )
              | <.> ( p402
                    & p1402 )
              | <.> ( p502
                    & p602 )
              | <.> ( p502
                    & p702 )
              | <.> ( p502
                    & p802 )
              | <.> ( p502
                    & p902 )
              | <.> ( p502
                    & p1002 )
              | <.> ( p502
                    & p1102 )
              | <.> ( p502
                    & p1202 )
              | <.> ( p502
                    & p1302 )
              | <.> ( p502
                    & p1402 )
              | <.> ( p602
                    & p702 )
              | <.> ( p602
                    & p802 )
              | <.> ( p602
                    & p902 )
              | <.> ( p602
                    & p1002 )
              | <.> ( p602
                    & p1102 )
              | <.> ( p602
                    & p1202 )
              | <.> ( p602
                    & p1302 )
              | <.> ( p602
                    & p1402 )
              | <.> ( p702
                    & p802 )
              | <.> ( p702
                    & p902 )
              | <.> ( p702
                    & p1002 )
              | <.> ( p702
                    & p1102 )
              | <.> ( p702
                    & p1202 )
              | <.> ( p702
                    & p1302 )
              | <.> ( p702
                    & p1402 )
              | <.> ( p802
                    & p902 )
              | <.> ( p802
                    & p1002 )
              | <.> ( p802
                    & p1102 )
              | <.> ( p802
                    & p1202 )
              | <.> ( p802
                    & p1302 )
              | <.> ( p802
                    & p1402 )
              | <.> ( p902
                    & p1002 )
              | <.> ( p902
                    & p1102 )
              | <.> ( p902
                    & p1202 )
              | <.> ( p902
                    & p1302 )
              | <.> ( p902
                    & p1402 )
              | <.> ( p1002
                    & p1102 )
              | <.> ( p1002
                    & p1202 )
              | <.> ( p1002
                    & p1302 )
              | <.> ( p1002
                    & p1402 )
              | <.> ( p1102
                    & p1202 )
              | <.> ( p1102
                    & p1302 )
              | <.> ( p1102
                    & p1402 )
              | <.> ( p1202
                    & p1302 )
              | <.> ( p1202
                    & p1402 )
              | <.> ( p1302
                    & p1402 )
              | <.> ( [.] p103
                    & [.] p203 )
              | <.> ( [.] p103
                    & p303 )
              | <.> ( [.] p103
                    & p403 )
              | <.> ( [.] p103
                    & p503 )
              | <.> ( [.] p103
                    & p603 )
              | <.> ( [.] p103
                    & p703 )
              | <.> ( [.] p103
                    & p803 )
              | <.> ( [.] p103
                    & p903 )
              | <.> ( [.] p103
                    & p1003 )
              | <.> ( [.] p103
                    & p1103 )
              | <.> ( [.] p103
                    & p1203 )
              | <.> ( [.] p103
                    & p1303 )
              | <.> ( [.] p103
                    & p1403 )
              | <.> ( [.] p203
                    & p303 )
              | <.> ( [.] p203
                    & p403 )
              | <.> ( [.] p203
                    & p503 )
              | <.> ( [.] p203
                    & p603 )
              | <.> ( [.] p203
                    & p703 )
              | <.> ( [.] p203
                    & p803 )
              | <.> ( [.] p203
                    & p903 )
              | <.> ( [.] p203
                    & p1003 )
              | <.> ( [.] p203
                    & p1103 )
              | <.> ( [.] p203
                    & p1203 )
              | <.> ( [.] p203
                    & p1303 )
              | <.> ( [.] p203
                    & p1403 )
              | <.> ( p303
                    & p403 )
              | <.> ( p303
                    & p503 )
              | <.> ( p303
                    & p603 )
              | <.> ( p303
                    & p703 )
              | <.> ( p303
                    & p803 )
              | <.> ( p303
                    & p903 )
              | <.> ( p303
                    & p1003 )
              | <.> ( p303
                    & p1103 )
              | <.> ( p303
                    & p1203 )
              | <.> ( p303
                    & p1303 )
              | <.> ( p303
                    & p1403 )
              | <.> ( p403
                    & p503 )
              | <.> ( p403
                    & p603 )
              | <.> ( p403
                    & p703 )
              | <.> ( p403
                    & p803 )
              | <.> ( p403
                    & p903 )
              | <.> ( p403
                    & p1003 )
              | <.> ( p403
                    & p1103 )
              | <.> ( p403
                    & p1203 )
              | <.> ( p403
                    & p1303 )
              | <.> ( p403
                    & p1403 )
              | <.> ( p503
                    & p603 )
              | <.> ( p503
                    & p703 )
              | <.> ( p503
                    & p803 )
              | <.> ( p503
                    & p903 )
              | <.> ( p503
                    & p1003 )
              | <.> ( p503
                    & p1103 )
              | <.> ( p503
                    & p1203 )
              | <.> ( p503
                    & p1303 )
              | <.> ( p503
                    & p1403 )
              | <.> ( p603
                    & p703 )
              | <.> ( p603
                    & p803 )
              | <.> ( p603
                    & p903 )
              | <.> ( p603
                    & p1003 )
              | <.> ( p603
                    & p1103 )
              | <.> ( p603
                    & p1203 )
              | <.> ( p603
                    & p1303 )
              | <.> ( p603
                    & p1403 )
              | <.> ( p703
                    & p803 )
              | <.> ( p703
                    & p903 )
              | <.> ( p703
                    & p1003 )
              | <.> ( p703
                    & p1103 )
              | <.> ( p703
                    & p1203 )
              | <.> ( p703
                    & p1303 )
              | <.> ( p703
                    & p1403 )
              | <.> ( p803
                    & p903 )
              | <.> ( p803
                    & p1003 )
              | <.> ( p803
                    & p1103 )
              | <.> ( p803
                    & p1203 )
              | <.> ( p803
                    & p1303 )
              | <.> ( p803
                    & p1403 )
              | <.> ( p903
                    & p1003 )
              | <.> ( p903
                    & p1103 )
              | <.> ( p903
                    & p1203 )
              | <.> ( p903
                    & p1303 )
              | <.> ( p903
                    & p1403 )
              | <.> ( p1003
                    & p1103 )
              | <.> ( p1003
                    & p1203 )
              | <.> ( p1003
                    & p1303 )
              | <.> ( p1003
                    & p1403 )
              | <.> ( p1103
                    & p1203 )
              | <.> ( p1103
                    & p1303 )
              | <.> ( p1103
                    & p1403 )
              | <.> ( p1203
                    & p1303 )
              | <.> ( p1203
                    & p1403 )
              | <.> ( p1303
                    & p1403 )
              | <.> ( [.] p104
                    & [.] p204 )
              | <.> ( [.] p104
                    & [.] p304 )
              | <.> ( [.] p104
                    & p404 )
              | <.> ( [.] p104
                    & p504 )
              | <.> ( [.] p104
                    & p604 )
              | <.> ( [.] p104
                    & p704 )
              | <.> ( [.] p104
                    & p804 )
              | <.> ( [.] p104
                    & p904 )
              | <.> ( [.] p104
                    & p1004 )
              | <.> ( [.] p104
                    & p1104 )
              | <.> ( [.] p104
                    & p1204 )
              | <.> ( [.] p104
                    & p1304 )
              | <.> ( [.] p104
                    & p1404 )
              | <.> ( [.] p204
                    & [.] p304 )
              | <.> ( [.] p204
                    & p404 )
              | <.> ( [.] p204
                    & p504 )
              | <.> ( [.] p204
                    & p604 )
              | <.> ( [.] p204
                    & p704 )
              | <.> ( [.] p204
                    & p804 )
              | <.> ( [.] p204
                    & p904 )
              | <.> ( [.] p204
                    & p1004 )
              | <.> ( [.] p204
                    & p1104 )
              | <.> ( [.] p204
                    & p1204 )
              | <.> ( [.] p204
                    & p1304 )
              | <.> ( [.] p204
                    & p1404 )
              | <.> ( [.] p304
                    & p404 )
              | <.> ( [.] p304
                    & p504 )
              | <.> ( [.] p304
                    & p604 )
              | <.> ( [.] p304
                    & p704 )
              | <.> ( [.] p304
                    & p804 )
              | <.> ( [.] p304
                    & p904 )
              | <.> ( [.] p304
                    & p1004 )
              | <.> ( [.] p304
                    & p1104 )
              | <.> ( [.] p304
                    & p1204 )
              | <.> ( [.] p304
                    & p1304 )
              | <.> ( [.] p304
                    & p1404 )
              | <.> ( p404
                    & p504 )
              | <.> ( p404
                    & p604 )
              | <.> ( p404
                    & p704 )
              | <.> ( p404
                    & p804 )
              | <.> ( p404
                    & p904 )
              | <.> ( p404
                    & p1004 )
              | <.> ( p404
                    & p1104 )
              | <.> ( p404
                    & p1204 )
              | <.> ( p404
                    & p1304 )
              | <.> ( p404
                    & p1404 )
              | <.> ( p504
                    & p604 )
              | <.> ( p504
                    & p704 )
              | <.> ( p504
                    & p804 )
              | <.> ( p504
                    & p904 )
              | <.> ( p504
                    & p1004 )
              | <.> ( p504
                    & p1104 )
              | <.> ( p504
                    & p1204 )
              | <.> ( p504
                    & p1304 )
              | <.> ( p504
                    & p1404 )
              | <.> ( p604
                    & p704 )
              | <.> ( p604
                    & p804 )
              | <.> ( p604
                    & p904 )
              | <.> ( p604
                    & p1004 )
              | <.> ( p604
                    & p1104 )
              | <.> ( p604
                    & p1204 )
              | <.> ( p604
                    & p1304 )
              | <.> ( p604
                    & p1404 )
              | <.> ( p704
                    & p804 )
              | <.> ( p704
                    & p904 )
              | <.> ( p704
                    & p1004 )
              | <.> ( p704
                    & p1104 )
              | <.> ( p704
                    & p1204 )
              | <.> ( p704
                    & p1304 )
              | <.> ( p704
                    & p1404 )
              | <.> ( p804
                    & p904 )
              | <.> ( p804
                    & p1004 )
              | <.> ( p804
                    & p1104 )
              | <.> ( p804
                    & p1204 )
              | <.> ( p804
                    & p1304 )
              | <.> ( p804
                    & p1404 )
              | <.> ( p904
                    & p1004 )
              | <.> ( p904
                    & p1104 )
              | <.> ( p904
                    & p1204 )
              | <.> ( p904
                    & p1304 )
              | <.> ( p904
                    & p1404 )
              | <.> ( p1004
                    & p1104 )
              | <.> ( p1004
                    & p1204 )
              | <.> ( p1004
                    & p1304 )
              | <.> ( p1004
                    & p1404 )
              | <.> ( p1104
                    & p1204 )
              | <.> ( p1104
                    & p1304 )
              | <.> ( p1104
                    & p1404 )
              | <.> ( p1204
                    & p1304 )
              | <.> ( p1204
                    & p1404 )
              | <.> ( p1304
                    & p1404 )
              | <.> ( [.] p105
                    & [.] p205 )
              | <.> ( [.] p105
                    & [.] p305 )
              | <.> ( [.] p105
                    & [.] p405 )
              | <.> ( [.] p105
                    & p505 )
              | <.> ( [.] p105
                    & p605 )
              | <.> ( [.] p105
                    & p705 )
              | <.> ( [.] p105
                    & p805 )
              | <.> ( [.] p105
                    & p905 )
              | <.> ( [.] p105
                    & p1005 )
              | <.> ( [.] p105
                    & p1105 )
              | <.> ( [.] p105
                    & p1205 )
              | <.> ( [.] p105
                    & p1305 )
              | <.> ( [.] p105
                    & p1405 )
              | <.> ( [.] p205
                    & [.] p305 )
              | <.> ( [.] p205
                    & [.] p405 )
              | <.> ( [.] p205
                    & p505 )
              | <.> ( [.] p205
                    & p605 )
              | <.> ( [.] p205
                    & p705 )
              | <.> ( [.] p205
                    & p805 )
              | <.> ( [.] p205
                    & p905 )
              | <.> ( [.] p205
                    & p1005 )
              | <.> ( [.] p205
                    & p1105 )
              | <.> ( [.] p205
                    & p1205 )
              | <.> ( [.] p205
                    & p1305 )
              | <.> ( [.] p205
                    & p1405 )
              | <.> ( [.] p305
                    & [.] p405 )
              | <.> ( [.] p305
                    & p505 )
              | <.> ( [.] p305
                    & p605 )
              | <.> ( [.] p305
                    & p705 )
              | <.> ( [.] p305
                    & p805 )
              | <.> ( [.] p305
                    & p905 )
              | <.> ( [.] p305
                    & p1005 )
              | <.> ( [.] p305
                    & p1105 )
              | <.> ( [.] p305
                    & p1205 )
              | <.> ( [.] p305
                    & p1305 )
              | <.> ( [.] p305
                    & p1405 )
              | <.> ( [.] p405
                    & p505 )
              | <.> ( [.] p405
                    & p605 )
              | <.> ( [.] p405
                    & p705 )
              | <.> ( [.] p405
                    & p805 )
              | <.> ( [.] p405
                    & p905 )
              | <.> ( [.] p405
                    & p1005 )
              | <.> ( [.] p405
                    & p1105 )
              | <.> ( [.] p405
                    & p1205 )
              | <.> ( [.] p405
                    & p1305 )
              | <.> ( [.] p405
                    & p1405 )
              | <.> ( p505
                    & p605 )
              | <.> ( p505
                    & p705 )
              | <.> ( p505
                    & p805 )
              | <.> ( p505
                    & p905 )
              | <.> ( p505
                    & p1005 )
              | <.> ( p505
                    & p1105 )
              | <.> ( p505
                    & p1205 )
              | <.> ( p505
                    & p1305 )
              | <.> ( p505
                    & p1405 )
              | <.> ( p605
                    & p705 )
              | <.> ( p605
                    & p805 )
              | <.> ( p605
                    & p905 )
              | <.> ( p605
                    & p1005 )
              | <.> ( p605
                    & p1105 )
              | <.> ( p605
                    & p1205 )
              | <.> ( p605
                    & p1305 )
              | <.> ( p605
                    & p1405 )
              | <.> ( p705
                    & p805 )
              | <.> ( p705
                    & p905 )
              | <.> ( p705
                    & p1005 )
              | <.> ( p705
                    & p1105 )
              | <.> ( p705
                    & p1205 )
              | <.> ( p705
                    & p1305 )
              | <.> ( p705
                    & p1405 )
              | <.> ( p805
                    & p905 )
              | <.> ( p805
                    & p1005 )
              | <.> ( p805
                    & p1105 )
              | <.> ( p805
                    & p1205 )
              | <.> ( p805
                    & p1305 )
              | <.> ( p805
                    & p1405 )
              | <.> ( p905
                    & p1005 )
              | <.> ( p905
                    & p1105 )
              | <.> ( p905
                    & p1205 )
              | <.> ( p905
                    & p1305 )
              | <.> ( p905
                    & p1405 )
              | <.> ( p1005
                    & p1105 )
              | <.> ( p1005
                    & p1205 )
              | <.> ( p1005
                    & p1305 )
              | <.> ( p1005
                    & p1405 )
              | <.> ( p1105
                    & p1205 )
              | <.> ( p1105
                    & p1305 )
              | <.> ( p1105
                    & p1405 )
              | <.> ( p1205
                    & p1305 )
              | <.> ( p1205
                    & p1405 )
              | <.> ( p1305
                    & p1405 )
              | <.> ( [.] p106
                    & [.] p206 )
              | <.> ( [.] p106
                    & [.] p306 )
              | <.> ( [.] p106
                    & [.] p406 )
              | <.> ( [.] p106
                    & [.] p506 )
              | <.> ( [.] p106
                    & p606 )
              | <.> ( [.] p106
                    & p706 )
              | <.> ( [.] p106
                    & p806 )
              | <.> ( [.] p106
                    & p906 )
              | <.> ( [.] p106
                    & p1006 )
              | <.> ( [.] p106
                    & p1106 )
              | <.> ( [.] p106
                    & p1206 )
              | <.> ( [.] p106
                    & p1306 )
              | <.> ( [.] p106
                    & p1406 )
              | <.> ( [.] p206
                    & [.] p306 )
              | <.> ( [.] p206
                    & [.] p406 )
              | <.> ( [.] p206
                    & [.] p506 )
              | <.> ( [.] p206
                    & p606 )
              | <.> ( [.] p206
                    & p706 )
              | <.> ( [.] p206
                    & p806 )
              | <.> ( [.] p206
                    & p906 )
              | <.> ( [.] p206
                    & p1006 )
              | <.> ( [.] p206
                    & p1106 )
              | <.> ( [.] p206
                    & p1206 )
              | <.> ( [.] p206
                    & p1306 )
              | <.> ( [.] p206
                    & p1406 )
              | <.> ( [.] p306
                    & [.] p406 )
              | <.> ( [.] p306
                    & [.] p506 )
              | <.> ( [.] p306
                    & p606 )
              | <.> ( [.] p306
                    & p706 )
              | <.> ( [.] p306
                    & p806 )
              | <.> ( [.] p306
                    & p906 )
              | <.> ( [.] p306
                    & p1006 )
              | <.> ( [.] p306
                    & p1106 )
              | <.> ( [.] p306
                    & p1206 )
              | <.> ( [.] p306
                    & p1306 )
              | <.> ( [.] p306
                    & p1406 )
              | <.> ( [.] p406
                    & [.] p506 )
              | <.> ( [.] p406
                    & p606 )
              | <.> ( [.] p406
                    & p706 )
              | <.> ( [.] p406
                    & p806 )
              | <.> ( [.] p406
                    & p906 )
              | <.> ( [.] p406
                    & p1006 )
              | <.> ( [.] p406
                    & p1106 )
              | <.> ( [.] p406
                    & p1206 )
              | <.> ( [.] p406
                    & p1306 )
              | <.> ( [.] p406
                    & p1406 )
              | <.> ( [.] p506
                    & p606 )
              | <.> ( [.] p506
                    & p706 )
              | <.> ( [.] p506
                    & p806 )
              | <.> ( [.] p506
                    & p906 )
              | <.> ( [.] p506
                    & p1006 )
              | <.> ( [.] p506
                    & p1106 )
              | <.> ( [.] p506
                    & p1206 )
              | <.> ( [.] p506
                    & p1306 )
              | <.> ( [.] p506
                    & p1406 )
              | <.> ( p606
                    & p706 )
              | <.> ( p606
                    & p806 )
              | <.> ( p606
                    & p906 )
              | <.> ( p606
                    & p1006 )
              | <.> ( p606
                    & p1106 )
              | <.> ( p606
                    & p1206 )
              | <.> ( p606
                    & p1306 )
              | <.> ( p606
                    & p1406 )
              | <.> ( p706
                    & p806 )
              | <.> ( p706
                    & p906 )
              | <.> ( p706
                    & p1006 )
              | <.> ( p706
                    & p1106 )
              | <.> ( p706
                    & p1206 )
              | <.> ( p706
                    & p1306 )
              | <.> ( p706
                    & p1406 )
              | <.> ( p806
                    & p906 )
              | <.> ( p806
                    & p1006 )
              | <.> ( p806
                    & p1106 )
              | <.> ( p806
                    & p1206 )
              | <.> ( p806
                    & p1306 )
              | <.> ( p806
                    & p1406 )
              | <.> ( p906
                    & p1006 )
              | <.> ( p906
                    & p1106 )
              | <.> ( p906
                    & p1206 )
              | <.> ( p906
                    & p1306 )
              | <.> ( p906
                    & p1406 )
              | <.> ( p1006
                    & p1106 )
              | <.> ( p1006
                    & p1206 )
              | <.> ( p1006
                    & p1306 )
              | <.> ( p1006
                    & p1406 )
              | <.> ( p1106
                    & p1206 )
              | <.> ( p1106
                    & p1306 )
              | <.> ( p1106
                    & p1406 )
              | <.> ( p1206
                    & p1306 )
              | <.> ( p1206
                    & p1406 )
              | <.> ( p1306
                    & p1406 )
              | <.> ( [.] p107
                    & [.] p207 )
              | <.> ( [.] p107
                    & [.] p307 )
              | <.> ( [.] p107
                    & [.] p407 )
              | <.> ( [.] p107
                    & [.] p507 )
              | <.> ( [.] p107
                    & [.] p607 )
              | <.> ( [.] p107
                    & p707 )
              | <.> ( [.] p107
                    & p807 )
              | <.> ( [.] p107
                    & p907 )
              | <.> ( [.] p107
                    & p1007 )
              | <.> ( [.] p107
                    & p1107 )
              | <.> ( [.] p107
                    & p1207 )
              | <.> ( [.] p107
                    & p1307 )
              | <.> ( [.] p107
                    & p1407 )
              | <.> ( [.] p207
                    & [.] p307 )
              | <.> ( [.] p207
                    & [.] p407 )
              | <.> ( [.] p207
                    & [.] p507 )
              | <.> ( [.] p207
                    & [.] p607 )
              | <.> ( [.] p207
                    & p707 )
              | <.> ( [.] p207
                    & p807 )
              | <.> ( [.] p207
                    & p907 )
              | <.> ( [.] p207
                    & p1007 )
              | <.> ( [.] p207
                    & p1107 )
              | <.> ( [.] p207
                    & p1207 )
              | <.> ( [.] p207
                    & p1307 )
              | <.> ( [.] p207
                    & p1407 )
              | <.> ( [.] p307
                    & [.] p407 )
              | <.> ( [.] p307
                    & [.] p507 )
              | <.> ( [.] p307
                    & [.] p607 )
              | <.> ( [.] p307
                    & p707 )
              | <.> ( [.] p307
                    & p807 )
              | <.> ( [.] p307
                    & p907 )
              | <.> ( [.] p307
                    & p1007 )
              | <.> ( [.] p307
                    & p1107 )
              | <.> ( [.] p307
                    & p1207 )
              | <.> ( [.] p307
                    & p1307 )
              | <.> ( [.] p307
                    & p1407 )
              | <.> ( [.] p407
                    & [.] p507 )
              | <.> ( [.] p407
                    & [.] p607 )
              | <.> ( [.] p407
                    & p707 )
              | <.> ( [.] p407
                    & p807 )
              | <.> ( [.] p407
                    & p907 )
              | <.> ( [.] p407
                    & p1007 )
              | <.> ( [.] p407
                    & p1107 )
              | <.> ( [.] p407
                    & p1207 )
              | <.> ( [.] p407
                    & p1307 )
              | <.> ( [.] p407
                    & p1407 )
              | <.> ( [.] p507
                    & [.] p607 )
              | <.> ( [.] p507
                    & p707 )
              | <.> ( [.] p507
                    & p807 )
              | <.> ( [.] p507
                    & p907 )
              | <.> ( [.] p507
                    & p1007 )
              | <.> ( [.] p507
                    & p1107 )
              | <.> ( [.] p507
                    & p1207 )
              | <.> ( [.] p507
                    & p1307 )
              | <.> ( [.] p507
                    & p1407 )
              | <.> ( [.] p607
                    & p707 )
              | <.> ( [.] p607
                    & p807 )
              | <.> ( [.] p607
                    & p907 )
              | <.> ( [.] p607
                    & p1007 )
              | <.> ( [.] p607
                    & p1107 )
              | <.> ( [.] p607
                    & p1207 )
              | <.> ( [.] p607
                    & p1307 )
              | <.> ( [.] p607
                    & p1407 )
              | <.> ( p707
                    & p807 )
              | <.> ( p707
                    & p907 )
              | <.> ( p707
                    & p1007 )
              | <.> ( p707
                    & p1107 )
              | <.> ( p707
                    & p1207 )
              | <.> ( p707
                    & p1307 )
              | <.> ( p707
                    & p1407 )
              | <.> ( p807
                    & p907 )
              | <.> ( p807
                    & p1007 )
              | <.> ( p807
                    & p1107 )
              | <.> ( p807
                    & p1207 )
              | <.> ( p807
                    & p1307 )
              | <.> ( p807
                    & p1407 )
              | <.> ( p907
                    & p1007 )
              | <.> ( p907
                    & p1107 )
              | <.> ( p907
                    & p1207 )
              | <.> ( p907
                    & p1307 )
              | <.> ( p907
                    & p1407 )
              | <.> ( p1007
                    & p1107 )
              | <.> ( p1007
                    & p1207 )
              | <.> ( p1007
                    & p1307 )
              | <.> ( p1007
                    & p1407 )
              | <.> ( p1107
                    & p1207 )
              | <.> ( p1107
                    & p1307 )
              | <.> ( p1107
                    & p1407 )
              | <.> ( p1207
                    & p1307 )
              | <.> ( p1207
                    & p1407 )
              | <.> ( p1307
                    & p1407 )
              | <.> ( [.] p108
                    & [.] p208 )
              | <.> ( [.] p108
                    & [.] p308 )
              | <.> ( [.] p108
                    & [.] p408 )
              | <.> ( [.] p108
                    & [.] p508 )
              | <.> ( [.] p108
                    & [.] p608 )
              | <.> ( [.] p108
                    & [.] p708 )
              | <.> ( [.] p108
                    & p808 )
              | <.> ( [.] p108
                    & p908 )
              | <.> ( [.] p108
                    & p1008 )
              | <.> ( [.] p108
                    & p1108 )
              | <.> ( [.] p108
                    & p1208 )
              | <.> ( [.] p108
                    & p1308 )
              | <.> ( [.] p108
                    & p1408 )
              | <.> ( [.] p208
                    & [.] p308 )
              | <.> ( [.] p208
                    & [.] p408 )
              | <.> ( [.] p208
                    & [.] p508 )
              | <.> ( [.] p208
                    & [.] p608 )
              | <.> ( [.] p208
                    & [.] p708 )
              | <.> ( [.] p208
                    & p808 )
              | <.> ( [.] p208
                    & p908 )
              | <.> ( [.] p208
                    & p1008 )
              | <.> ( [.] p208
                    & p1108 )
              | <.> ( [.] p208
                    & p1208 )
              | <.> ( [.] p208
                    & p1308 )
              | <.> ( [.] p208
                    & p1408 )
              | <.> ( [.] p308
                    & [.] p408 )
              | <.> ( [.] p308
                    & [.] p508 )
              | <.> ( [.] p308
                    & [.] p608 )
              | <.> ( [.] p308
                    & [.] p708 )
              | <.> ( [.] p308
                    & p808 )
              | <.> ( [.] p308
                    & p908 )
              | <.> ( [.] p308
                    & p1008 )
              | <.> ( [.] p308
                    & p1108 )
              | <.> ( [.] p308
                    & p1208 )
              | <.> ( [.] p308
                    & p1308 )
              | <.> ( [.] p308
                    & p1408 )
              | <.> ( [.] p408
                    & [.] p508 )
              | <.> ( [.] p408
                    & [.] p608 )
              | <.> ( [.] p408
                    & [.] p708 )
              | <.> ( [.] p408
                    & p808 )
              | <.> ( [.] p408
                    & p908 )
              | <.> ( [.] p408
                    & p1008 )
              | <.> ( [.] p408
                    & p1108 )
              | <.> ( [.] p408
                    & p1208 )
              | <.> ( [.] p408
                    & p1308 )
              | <.> ( [.] p408
                    & p1408 )
              | <.> ( [.] p508
                    & [.] p608 )
              | <.> ( [.] p508
                    & [.] p708 )
              | <.> ( [.] p508
                    & p808 )
              | <.> ( [.] p508
                    & p908 )
              | <.> ( [.] p508
                    & p1008 )
              | <.> ( [.] p508
                    & p1108 )
              | <.> ( [.] p508
                    & p1208 )
              | <.> ( [.] p508
                    & p1308 )
              | <.> ( [.] p508
                    & p1408 )
              | <.> ( [.] p608
                    & [.] p708 )
              | <.> ( [.] p608
                    & p808 )
              | <.> ( [.] p608
                    & p908 )
              | <.> ( [.] p608
                    & p1008 )
              | <.> ( [.] p608
                    & p1108 )
              | <.> ( [.] p608
                    & p1208 )
              | <.> ( [.] p608
                    & p1308 )
              | <.> ( [.] p608
                    & p1408 )
              | <.> ( [.] p708
                    & p808 )
              | <.> ( [.] p708
                    & p908 )
              | <.> ( [.] p708
                    & p1008 )
              | <.> ( [.] p708
                    & p1108 )
              | <.> ( [.] p708
                    & p1208 )
              | <.> ( [.] p708
                    & p1308 )
              | <.> ( [.] p708
                    & p1408 )
              | <.> ( p808
                    & p908 )
              | <.> ( p808
                    & p1008 )
              | <.> ( p808
                    & p1108 )
              | <.> ( p808
                    & p1208 )
              | <.> ( p808
                    & p1308 )
              | <.> ( p808
                    & p1408 )
              | <.> ( p908
                    & p1008 )
              | <.> ( p908
                    & p1108 )
              | <.> ( p908
                    & p1208 )
              | <.> ( p908
                    & p1308 )
              | <.> ( p908
                    & p1408 )
              | <.> ( p1008
                    & p1108 )
              | <.> ( p1008
                    & p1208 )
              | <.> ( p1008
                    & p1308 )
              | <.> ( p1008
                    & p1408 )
              | <.> ( p1108
                    & p1208 )
              | <.> ( p1108
                    & p1308 )
              | <.> ( p1108
                    & p1408 )
              | <.> ( p1208
                    & p1308 )
              | <.> ( p1208
                    & p1408 )
              | <.> ( p1308
                    & p1408 )
              | <.> ( [.] p109
                    & [.] p209 )
              | <.> ( [.] p109
                    & [.] p309 )
              | <.> ( [.] p109
                    & [.] p409 )
              | <.> ( [.] p109
                    & [.] p509 )
              | <.> ( [.] p109
                    & [.] p609 )
              | <.> ( [.] p109
                    & [.] p709 )
              | <.> ( [.] p109
                    & [.] p809 )
              | <.> ( [.] p109
                    & ~ p909 )
              | <.> ( [.] p109
                    & p1009 )
              | <.> ( [.] p109
                    & p1109 )
              | <.> ( [.] p109
                    & p1209 )
              | <.> ( [.] p109
                    & p1309 )
              | <.> ( [.] p109
                    & p1409 )
              | <.> ( [.] p209
                    & [.] p309 )
              | <.> ( [.] p209
                    & [.] p409 )
              | <.> ( [.] p209
                    & [.] p509 )
              | <.> ( [.] p209
                    & [.] p609 )
              | <.> ( [.] p209
                    & [.] p709 )
              | <.> ( [.] p209
                    & [.] p809 )
              | <.> ( [.] p209
                    & ~ p909 )
              | <.> ( [.] p209
                    & p1009 )
              | <.> ( [.] p209
                    & p1109 )
              | <.> ( [.] p209
                    & p1209 )
              | <.> ( [.] p209
                    & p1309 )
              | <.> ( [.] p209
                    & p1409 )
              | <.> ( [.] p309
                    & [.] p409 )
              | <.> ( [.] p309
                    & [.] p509 )
              | <.> ( [.] p309
                    & [.] p609 )
              | <.> ( [.] p309
                    & [.] p709 )
              | <.> ( [.] p309
                    & [.] p809 )
              | <.> ( [.] p309
                    & ~ p909 )
              | <.> ( [.] p309
                    & p1009 )
              | <.> ( [.] p309
                    & p1109 )
              | <.> ( [.] p309
                    & p1209 )
              | <.> ( [.] p309
                    & p1309 )
              | <.> ( [.] p309
                    & p1409 )
              | <.> ( [.] p409
                    & [.] p509 )
              | <.> ( [.] p409
                    & [.] p609 )
              | <.> ( [.] p409
                    & [.] p709 )
              | <.> ( [.] p409
                    & [.] p809 )
              | <.> ( [.] p409
                    & ~ p909 )
              | <.> ( [.] p409
                    & p1009 )
              | <.> ( [.] p409
                    & p1109 )
              | <.> ( [.] p409
                    & p1209 )
              | <.> ( [.] p409
                    & p1309 )
              | <.> ( [.] p409
                    & p1409 )
              | <.> ( [.] p509
                    & [.] p609 )
              | <.> ( [.] p509
                    & [.] p709 )
              | <.> ( [.] p509
                    & [.] p809 )
              | <.> ( [.] p509
                    & ~ p909 )
              | <.> ( [.] p509
                    & p1009 )
              | <.> ( [.] p509
                    & p1109 )
              | <.> ( [.] p509
                    & p1209 )
              | <.> ( [.] p509
                    & p1309 )
              | <.> ( [.] p509
                    & p1409 )
              | <.> ( [.] p609
                    & [.] p709 )
              | <.> ( [.] p609
                    & [.] p809 )
              | <.> ( [.] p609
                    & ~ p909 )
              | <.> ( [.] p609
                    & p1009 )
              | <.> ( [.] p609
                    & p1109 )
              | <.> ( [.] p609
                    & p1209 )
              | <.> ( [.] p609
                    & p1309 )
              | <.> ( [.] p609
                    & p1409 )
              | <.> ( [.] p709
                    & [.] p809 )
              | <.> ( [.] p709
                    & ~ p909 )
              | <.> ( [.] p709
                    & p1009 )
              | <.> ( [.] p709
                    & p1109 )
              | <.> ( [.] p709
                    & p1209 )
              | <.> ( [.] p709
                    & p1309 )
              | <.> ( [.] p709
                    & p1409 )
              | <.> ( [.] p809
                    & ~ p909 )
              | <.> ( [.] p809
                    & p1009 )
              | <.> ( [.] p809
                    & p1109 )
              | <.> ( [.] p809
                    & p1209 )
              | <.> ( [.] p809
                    & p1309 )
              | <.> ( [.] p809
                    & p1409 )
              | <.> ( ~ p909
                    & p1009 )
              | <.> ( ~ p909
                    & p1109 )
              | <.> ( ~ p909
                    & p1209 )
              | <.> ( ~ p909
                    & p1309 )
              | <.> ( ~ p909
                    & p1409 )
              | <.> ( p1009
                    & p1109 )
              | <.> ( p1009
                    & p1209 )
              | <.> ( p1009
                    & p1309 )
              | <.> ( p1009
                    & p1409 )
              | <.> ( p1109
                    & p1209 )
              | <.> ( p1109
                    & p1309 )
              | <.> ( p1109
                    & p1409 )
              | <.> ( p1209
                    & p1309 )
              | <.> ( p1209
                    & p1409 )
              | <.> ( p1309
                    & p1409 )
              | <.> ( [.] p110
                    & [.] p210 )
              | <.> ( [.] p110
                    & [.] p310 )
              | <.> ( [.] p110
                    & [.] p410 )
              | <.> ( [.] p110
                    & [.] p510 )
              | <.> ( [.] p110
                    & [.] p610 )
              | <.> ( [.] p110
                    & [.] p710 )
              | <.> ( [.] p110
                    & [.] p810 )
              | <.> ( [.] p110
                    & [.] p910 )
              | <.> ( [.] p110
                    & p1010 )
              | <.> ( [.] p110
                    & p1110 )
              | <.> ( [.] p110
                    & p1210 )
              | <.> ( [.] p110
                    & p1310 )
              | <.> ( [.] p110
                    & p1410 )
              | <.> ( [.] p210
                    & [.] p310 )
              | <.> ( [.] p210
                    & [.] p410 )
              | <.> ( [.] p210
                    & [.] p510 )
              | <.> ( [.] p210
                    & [.] p610 )
              | <.> ( [.] p210
                    & [.] p710 )
              | <.> ( [.] p210
                    & [.] p810 )
              | <.> ( [.] p210
                    & [.] p910 )
              | <.> ( [.] p210
                    & p1010 )
              | <.> ( [.] p210
                    & p1110 )
              | <.> ( [.] p210
                    & p1210 )
              | <.> ( [.] p210
                    & p1310 )
              | <.> ( [.] p210
                    & p1410 )
              | <.> ( [.] p310
                    & [.] p410 )
              | <.> ( [.] p310
                    & [.] p510 )
              | <.> ( [.] p310
                    & [.] p610 )
              | <.> ( [.] p310
                    & [.] p710 )
              | <.> ( [.] p310
                    & [.] p810 )
              | <.> ( [.] p310
                    & [.] p910 )
              | <.> ( [.] p310
                    & p1010 )
              | <.> ( [.] p310
                    & p1110 )
              | <.> ( [.] p310
                    & p1210 )
              | <.> ( [.] p310
                    & p1310 )
              | <.> ( [.] p310
                    & p1410 )
              | <.> ( [.] p410
                    & [.] p510 )
              | <.> ( [.] p410
                    & [.] p610 )
              | <.> ( [.] p410
                    & [.] p710 )
              | <.> ( [.] p410
                    & [.] p810 )
              | <.> ( [.] p410
                    & [.] p910 )
              | <.> ( [.] p410
                    & p1010 )
              | <.> ( [.] p410
                    & p1110 )
              | <.> ( [.] p410
                    & p1210 )
              | <.> ( [.] p410
                    & p1310 )
              | <.> ( [.] p410
                    & p1410 )
              | <.> ( [.] p510
                    & [.] p610 )
              | <.> ( [.] p510
                    & [.] p710 )
              | <.> ( [.] p510
                    & [.] p810 )
              | <.> ( [.] p510
                    & [.] p910 )
              | <.> ( [.] p510
                    & p1010 )
              | <.> ( [.] p510
                    & p1110 )
              | <.> ( [.] p510
                    & p1210 )
              | <.> ( [.] p510
                    & p1310 )
              | <.> ( [.] p510
                    & p1410 )
              | <.> ( [.] p610
                    & [.] p710 )
              | <.> ( [.] p610
                    & [.] p810 )
              | <.> ( [.] p610
                    & [.] p910 )
              | <.> ( [.] p610
                    & p1010 )
              | <.> ( [.] p610
                    & p1110 )
              | <.> ( [.] p610
                    & p1210 )
              | <.> ( [.] p610
                    & p1310 )
              | <.> ( [.] p610
                    & p1410 )
              | <.> ( [.] p710
                    & [.] p810 )
              | <.> ( [.] p710
                    & [.] p910 )
              | <.> ( [.] p710
                    & p1010 )
              | <.> ( [.] p710
                    & p1110 )
              | <.> ( [.] p710
                    & p1210 )
              | <.> ( [.] p710
                    & p1310 )
              | <.> ( [.] p710
                    & p1410 )
              | <.> ( [.] p810
                    & [.] p910 )
              | <.> ( [.] p810
                    & p1010 )
              | <.> ( [.] p810
                    & p1110 )
              | <.> ( [.] p810
                    & p1210 )
              | <.> ( [.] p810
                    & p1310 )
              | <.> ( [.] p810
                    & p1410 )
              | <.> ( [.] p910
                    & p1010 )
              | <.> ( [.] p910
                    & p1110 )
              | <.> ( [.] p910
                    & p1210 )
              | <.> ( [.] p910
                    & p1310 )
              | <.> ( [.] p910
                    & p1410 )
              | <.> ( p1010
                    & p1110 )
              | <.> ( p1010
                    & p1210 )
              | <.> ( p1010
                    & p1310 )
              | <.> ( p1010
                    & p1410 )
              | <.> ( p1110
                    & p1210 )
              | <.> ( p1110
                    & p1310 )
              | <.> ( p1110
                    & p1410 )
              | <.> ( p1210
                    & p1310 )
              | <.> ( p1210
                    & p1410 )
              | <.> ( p1310
                    & p1410 )
              | <.> ( [.] p111
                    & [.] p211 )
              | <.> ( [.] p111
                    & [.] p311 )
              | <.> ( [.] p111
                    & [.] p411 )
              | <.> ( [.] p111
                    & [.] p511 )
              | <.> ( [.] p111
                    & [.] p611 )
              | <.> ( [.] p111
                    & [.] p711 )
              | <.> ( [.] p111
                    & [.] p811 )
              | <.> ( [.] p111
                    & [.] p911 )
              | <.> ( [.] p111
                    & [.] p1011 )
              | <.> ( [.] p111
                    & p1111 )
              | <.> ( [.] p111
                    & p1211 )
              | <.> ( [.] p111
                    & p1311 )
              | <.> ( [.] p111
                    & p1411 )
              | <.> ( [.] p211
                    & [.] p311 )
              | <.> ( [.] p211
                    & [.] p411 )
              | <.> ( [.] p211
                    & [.] p511 )
              | <.> ( [.] p211
                    & [.] p611 )
              | <.> ( [.] p211
                    & [.] p711 )
              | <.> ( [.] p211
                    & [.] p811 )
              | <.> ( [.] p211
                    & [.] p911 )
              | <.> ( [.] p211
                    & [.] p1011 )
              | <.> ( [.] p211
                    & p1111 )
              | <.> ( [.] p211
                    & p1211 )
              | <.> ( [.] p211
                    & p1311 )
              | <.> ( [.] p211
                    & p1411 )
              | <.> ( [.] p311
                    & [.] p411 )
              | <.> ( [.] p311
                    & [.] p511 )
              | <.> ( [.] p311
                    & [.] p611 )
              | <.> ( [.] p311
                    & [.] p711 )
              | <.> ( [.] p311
                    & [.] p811 )
              | <.> ( [.] p311
                    & [.] p911 )
              | <.> ( [.] p311
                    & [.] p1011 )
              | <.> ( [.] p311
                    & p1111 )
              | <.> ( [.] p311
                    & p1211 )
              | <.> ( [.] p311
                    & p1311 )
              | <.> ( [.] p311
                    & p1411 )
              | <.> ( [.] p411
                    & [.] p511 )
              | <.> ( [.] p411
                    & [.] p611 )
              | <.> ( [.] p411
                    & [.] p711 )
              | <.> ( [.] p411
                    & [.] p811 )
              | <.> ( [.] p411
                    & [.] p911 )
              | <.> ( [.] p411
                    & [.] p1011 )
              | <.> ( [.] p411
                    & p1111 )
              | <.> ( [.] p411
                    & p1211 )
              | <.> ( [.] p411
                    & p1311 )
              | <.> ( [.] p411
                    & p1411 )
              | <.> ( [.] p511
                    & [.] p611 )
              | <.> ( [.] p511
                    & [.] p711 )
              | <.> ( [.] p511
                    & [.] p811 )
              | <.> ( [.] p511
                    & [.] p911 )
              | <.> ( [.] p511
                    & [.] p1011 )
              | <.> ( [.] p511
                    & p1111 )
              | <.> ( [.] p511
                    & p1211 )
              | <.> ( [.] p511
                    & p1311 )
              | <.> ( [.] p511
                    & p1411 )
              | <.> ( [.] p611
                    & [.] p711 )
              | <.> ( [.] p611
                    & [.] p811 )
              | <.> ( [.] p611
                    & [.] p911 )
              | <.> ( [.] p611
                    & [.] p1011 )
              | <.> ( [.] p611
                    & p1111 )
              | <.> ( [.] p611
                    & p1211 )
              | <.> ( [.] p611
                    & p1311 )
              | <.> ( [.] p611
                    & p1411 )
              | <.> ( [.] p711
                    & [.] p811 )
              | <.> ( [.] p711
                    & [.] p911 )
              | <.> ( [.] p711
                    & [.] p1011 )
              | <.> ( [.] p711
                    & p1111 )
              | <.> ( [.] p711
                    & p1211 )
              | <.> ( [.] p711
                    & p1311 )
              | <.> ( [.] p711
                    & p1411 )
              | <.> ( [.] p811
                    & [.] p911 )
              | <.> ( [.] p811
                    & [.] p1011 )
              | <.> ( [.] p811
                    & p1111 )
              | <.> ( [.] p811
                    & p1211 )
              | <.> ( [.] p811
                    & p1311 )
              | <.> ( [.] p811
                    & p1411 )
              | <.> ( [.] p911
                    & [.] p1011 )
              | <.> ( [.] p911
                    & p1111 )
              | <.> ( [.] p911
                    & p1211 )
              | <.> ( [.] p911
                    & p1311 )
              | <.> ( [.] p911
                    & p1411 )
              | <.> ( [.] p1011
                    & p1111 )
              | <.> ( [.] p1011
                    & p1211 )
              | <.> ( [.] p1011
                    & p1311 )
              | <.> ( [.] p1011
                    & p1411 )
              | <.> ( p1111
                    & p1211 )
              | <.> ( p1111
                    & p1311 )
              | <.> ( p1111
                    & p1411 )
              | <.> ( p1211
                    & p1311 )
              | <.> ( p1211
                    & p1411 )
              | <.> ( p1311
                    & p1411 )
              | <.> ( [.] p112
                    & [.] p212 )
              | <.> ( [.] p112
                    & [.] p312 )
              | <.> ( [.] p112
                    & [.] p412 )
              | <.> ( [.] p112
                    & [.] p512 )
              | <.> ( [.] p112
                    & [.] p612 )
              | <.> ( [.] p112
                    & [.] p712 )
              | <.> ( [.] p112
                    & [.] p812 )
              | <.> ( [.] p112
                    & [.] p912 )
              | <.> ( [.] p112
                    & [.] p1012 )
              | <.> ( [.] p112
                    & [.] p1112 )
              | <.> ( [.] p112
                    & p1212 )
              | <.> ( [.] p112
                    & p1312 )
              | <.> ( [.] p112
                    & p1412 )
              | <.> ( [.] p212
                    & [.] p312 )
              | <.> ( [.] p212
                    & [.] p412 )
              | <.> ( [.] p212
                    & [.] p512 )
              | <.> ( [.] p212
                    & [.] p612 )
              | <.> ( [.] p212
                    & [.] p712 )
              | <.> ( [.] p212
                    & [.] p812 )
              | <.> ( [.] p212
                    & [.] p912 )
              | <.> ( [.] p212
                    & [.] p1012 )
              | <.> ( [.] p212
                    & [.] p1112 )
              | <.> ( [.] p212
                    & p1212 )
              | <.> ( [.] p212
                    & p1312 )
              | <.> ( [.] p212
                    & p1412 )
              | <.> ( [.] p312
                    & [.] p412 )
              | <.> ( [.] p312
                    & [.] p512 )
              | <.> ( [.] p312
                    & [.] p612 )
              | <.> ( [.] p312
                    & [.] p712 )
              | <.> ( [.] p312
                    & [.] p812 )
              | <.> ( [.] p312
                    & [.] p912 )
              | <.> ( [.] p312
                    & [.] p1012 )
              | <.> ( [.] p312
                    & [.] p1112 )
              | <.> ( [.] p312
                    & p1212 )
              | <.> ( [.] p312
                    & p1312 )
              | <.> ( [.] p312
                    & p1412 )
              | <.> ( [.] p412
                    & [.] p512 )
              | <.> ( [.] p412
                    & [.] p612 )
              | <.> ( [.] p412
                    & [.] p712 )
              | <.> ( [.] p412
                    & [.] p812 )
              | <.> ( [.] p412
                    & [.] p912 )
              | <.> ( [.] p412
                    & [.] p1012 )
              | <.> ( [.] p412
                    & [.] p1112 )
              | <.> ( [.] p412
                    & p1212 )
              | <.> ( [.] p412
                    & p1312 )
              | <.> ( [.] p412
                    & p1412 )
              | <.> ( [.] p512
                    & [.] p612 )
              | <.> ( [.] p512
                    & [.] p712 )
              | <.> ( [.] p512
                    & [.] p812 )
              | <.> ( [.] p512
                    & [.] p912 )
              | <.> ( [.] p512
                    & [.] p1012 )
              | <.> ( [.] p512
                    & [.] p1112 )
              | <.> ( [.] p512
                    & p1212 )
              | <.> ( [.] p512
                    & p1312 )
              | <.> ( [.] p512
                    & p1412 )
              | <.> ( [.] p612
                    & [.] p712 )
              | <.> ( [.] p612
                    & [.] p812 )
              | <.> ( [.] p612
                    & [.] p912 )
              | <.> ( [.] p612
                    & [.] p1012 )
              | <.> ( [.] p612
                    & [.] p1112 )
              | <.> ( [.] p612
                    & p1212 )
              | <.> ( [.] p612
                    & p1312 )
              | <.> ( [.] p612
                    & p1412 )
              | <.> ( [.] p712
                    & [.] p812 )
              | <.> ( [.] p712
                    & [.] p912 )
              | <.> ( [.] p712
                    & [.] p1012 )
              | <.> ( [.] p712
                    & [.] p1112 )
              | <.> ( [.] p712
                    & p1212 )
              | <.> ( [.] p712
                    & p1312 )
              | <.> ( [.] p712
                    & p1412 )
              | <.> ( [.] p812
                    & [.] p912 )
              | <.> ( [.] p812
                    & [.] p1012 )
              | <.> ( [.] p812
                    & [.] p1112 )
              | <.> ( [.] p812
                    & p1212 )
              | <.> ( [.] p812
                    & p1312 )
              | <.> ( [.] p812
                    & p1412 )
              | <.> ( [.] p912
                    & [.] p1012 )
              | <.> ( [.] p912
                    & [.] p1112 )
              | <.> ( [.] p912
                    & p1212 )
              | <.> ( [.] p912
                    & p1312 )
              | <.> ( [.] p912
                    & p1412 )
              | <.> ( [.] p1012
                    & [.] p1112 )
              | <.> ( [.] p1012
                    & p1212 )
              | <.> ( [.] p1012
                    & p1312 )
              | <.> ( [.] p1012
                    & p1412 )
              | <.> ( [.] p1112
                    & p1212 )
              | <.> ( [.] p1112
                    & p1312 )
              | <.> ( [.] p1112
                    & p1412 )
              | <.> ( p1212
                    & p1312 )
              | <.> ( p1212
                    & p1412 )
              | <.> ( p1312
                    & p1412 )
              | <.> ( [.] p113
                    & [.] p213 )
              | <.> ( [.] p113
                    & [.] p313 )
              | <.> ( [.] p113
                    & [.] p413 )
              | <.> ( [.] p113
                    & [.] p513 )
              | <.> ( [.] p113
                    & [.] p613 )
              | <.> ( [.] p113
                    & [.] p713 )
              | <.> ( [.] p113
                    & [.] p813 )
              | <.> ( [.] p113
                    & [.] p913 )
              | <.> ( [.] p113
                    & [.] p1013 )
              | <.> ( [.] p113
                    & [.] p1113 )
              | <.> ( [.] p113
                    & [.] p1213 )
              | <.> ( [.] p113
                    & p1313 )
              | <.> ( [.] p113
                    & p1413 )
              | <.> ( [.] p213
                    & [.] p313 )
              | <.> ( [.] p213
                    & [.] p413 )
              | <.> ( [.] p213
                    & [.] p513 )
              | <.> ( [.] p213
                    & [.] p613 )
              | <.> ( [.] p213
                    & [.] p713 )
              | <.> ( [.] p213
                    & [.] p813 )
              | <.> ( [.] p213
                    & [.] p913 )
              | <.> ( [.] p213
                    & [.] p1013 )
              | <.> ( [.] p213
                    & [.] p1113 )
              | <.> ( [.] p213
                    & [.] p1213 )
              | <.> ( [.] p213
                    & p1313 )
              | <.> ( [.] p213
                    & p1413 )
              | <.> ( [.] p313
                    & [.] p413 )
              | <.> ( [.] p313
                    & [.] p513 )
              | <.> ( [.] p313
                    & [.] p613 )
              | <.> ( [.] p313
                    & [.] p713 )
              | <.> ( [.] p313
                    & [.] p813 )
              | <.> ( [.] p313
                    & [.] p913 )
              | <.> ( [.] p313
                    & [.] p1013 )
              | <.> ( [.] p313
                    & [.] p1113 )
              | <.> ( [.] p313
                    & [.] p1213 )
              | <.> ( [.] p313
                    & p1313 )
              | <.> ( [.] p313
                    & p1413 )
              | <.> ( [.] p413
                    & [.] p513 )
              | <.> ( [.] p413
                    & [.] p613 )
              | <.> ( [.] p413
                    & [.] p713 )
              | <.> ( [.] p413
                    & [.] p813 )
              | <.> ( [.] p413
                    & [.] p913 )
              | <.> ( [.] p413
                    & [.] p1013 )
              | <.> ( [.] p413
                    & [.] p1113 )
              | <.> ( [.] p413
                    & [.] p1213 )
              | <.> ( [.] p413
                    & p1313 )
              | <.> ( [.] p413
                    & p1413 )
              | <.> ( [.] p513
                    & [.] p613 )
              | <.> ( [.] p513
                    & [.] p713 )
              | <.> ( [.] p513
                    & [.] p813 )
              | <.> ( [.] p513
                    & [.] p913 )
              | <.> ( [.] p513
                    & [.] p1013 )
              | <.> ( [.] p513
                    & [.] p1113 )
              | <.> ( [.] p513
                    & [.] p1213 )
              | <.> ( [.] p513
                    & p1313 )
              | <.> ( [.] p513
                    & p1413 )
              | <.> ( [.] p613
                    & [.] p713 )
              | <.> ( [.] p613
                    & [.] p813 )
              | <.> ( [.] p613
                    & [.] p913 )
              | <.> ( [.] p613
                    & [.] p1013 )
              | <.> ( [.] p613
                    & [.] p1113 )
              | <.> ( [.] p613
                    & [.] p1213 )
              | <.> ( [.] p613
                    & p1313 )
              | <.> ( [.] p613
                    & p1413 )
              | <.> ( [.] p713
                    & [.] p813 )
              | <.> ( [.] p713
                    & [.] p913 )
              | <.> ( [.] p713
                    & [.] p1013 )
              | <.> ( [.] p713
                    & [.] p1113 )
              | <.> ( [.] p713
                    & [.] p1213 )
              | <.> ( [.] p713
                    & p1313 )
              | <.> ( [.] p713
                    & p1413 )
              | <.> ( [.] p813
                    & [.] p913 )
              | <.> ( [.] p813
                    & [.] p1013 )
              | <.> ( [.] p813
                    & [.] p1113 )
              | <.> ( [.] p813
                    & [.] p1213 )
              | <.> ( [.] p813
                    & p1313 )
              | <.> ( [.] p813
                    & p1413 )
              | <.> ( [.] p913
                    & [.] p1013 )
              | <.> ( [.] p913
                    & [.] p1113 )
              | <.> ( [.] p913
                    & [.] p1213 )
              | <.> ( [.] p913
                    & p1313 )
              | <.> ( [.] p913
                    & p1413 )
              | <.> ( [.] p1013
                    & [.] p1113 )
              | <.> ( [.] p1013
                    & [.] p1213 )
              | <.> ( [.] p1013
                    & p1313 )
              | <.> ( [.] p1013
                    & p1413 )
              | <.> ( [.] p1113
                    & [.] p1213 )
              | <.> ( [.] p1113
                    & p1313 )
              | <.> ( [.] p1113
                    & p1413 )
              | <.> ( [.] p1213
                    & p1313 )
              | <.> ( [.] p1213
                    & p1413 )
              | <.> ( p1313
                    & p1413 ) ) ) ).

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