TSTP Solution File: LCL666+1.010 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : LCL666+1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 11:31:05 EDT 2023

% Result   : Theorem 121.48s 30.04s
% Output   : Refutation 122.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  119
% Syntax   : Number of formulae    :  183 (   4 unt; 117 typ;   0 def)
%            Number of atoms       : 8779 (  25 equ;   0 cnn)
%            Maximal formula atoms : 1706 ( 133 avg)
%            Number of connectives : 22695 (2650   ~;5869   |;2800   &;11376   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  561 (  48 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  117 ( 117   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  120 ( 117 usr;   3 con; 0-2 aty)
%            Number of variables   : 2528 (   0   ^;2524   !;   4   ?;2528   :)

% Comments : 
%------------------------------------------------------------------------------
thf(r1_type,type,
    r1: $i > $i > $o ).

thf(p1110_type,type,
    p1110: $i > $o ).

thf(p1010_type,type,
    p1010: $i > $o ).

thf(p910_type,type,
    p910: $i > $o ).

thf(p810_type,type,
    p810: $i > $o ).

thf(p710_type,type,
    p710: $i > $o ).

thf(p610_type,type,
    p610: $i > $o ).

thf(p510_type,type,
    p510: $i > $o ).

thf(p410_type,type,
    p410: $i > $o ).

thf(p310_type,type,
    p310: $i > $o ).

thf(p210_type,type,
    p210: $i > $o ).

thf(p110_type,type,
    p110: $i > $o ).

thf(p1109_type,type,
    p1109: $i > $o ).

thf(p1009_type,type,
    p1009: $i > $o ).

thf(p909_type,type,
    p909: $i > $o ).

thf(p809_type,type,
    p809: $i > $o ).

thf(p709_type,type,
    p709: $i > $o ).

thf(p609_type,type,
    p609: $i > $o ).

thf(p509_type,type,
    p509: $i > $o ).

thf(p409_type,type,
    p409: $i > $o ).

thf(p309_type,type,
    p309: $i > $o ).

thf(p209_type,type,
    p209: $i > $o ).

thf(p109_type,type,
    p109: $i > $o ).

thf(p1108_type,type,
    p1108: $i > $o ).

thf(p1008_type,type,
    p1008: $i > $o ).

thf(p908_type,type,
    p908: $i > $o ).

thf(p808_type,type,
    p808: $i > $o ).

thf(p708_type,type,
    p708: $i > $o ).

thf(p608_type,type,
    p608: $i > $o ).

thf(p508_type,type,
    p508: $i > $o ).

thf(p408_type,type,
    p408: $i > $o ).

thf(p308_type,type,
    p308: $i > $o ).

thf(p208_type,type,
    p208: $i > $o ).

thf(p108_type,type,
    p108: $i > $o ).

thf(p1107_type,type,
    p1107: $i > $o ).

thf(p1007_type,type,
    p1007: $i > $o ).

thf(p907_type,type,
    p907: $i > $o ).

thf(p807_type,type,
    p807: $i > $o ).

thf(p707_type,type,
    p707: $i > $o ).

thf(p607_type,type,
    p607: $i > $o ).

thf(p507_type,type,
    p507: $i > $o ).

thf(p407_type,type,
    p407: $i > $o ).

thf(p307_type,type,
    p307: $i > $o ).

thf(p207_type,type,
    p207: $i > $o ).

thf(p107_type,type,
    p107: $i > $o ).

thf(p1106_type,type,
    p1106: $i > $o ).

thf(p1006_type,type,
    p1006: $i > $o ).

thf(p906_type,type,
    p906: $i > $o ).

thf(p806_type,type,
    p806: $i > $o ).

thf(p706_type,type,
    p706: $i > $o ).

thf(p606_type,type,
    p606: $i > $o ).

thf(p506_type,type,
    p506: $i > $o ).

thf(p406_type,type,
    p406: $i > $o ).

thf(p306_type,type,
    p306: $i > $o ).

thf(p206_type,type,
    p206: $i > $o ).

thf(p106_type,type,
    p106: $i > $o ).

thf(p1105_type,type,
    p1105: $i > $o ).

thf(p1005_type,type,
    p1005: $i > $o ).

thf(p905_type,type,
    p905: $i > $o ).

thf(p805_type,type,
    p805: $i > $o ).

thf(p705_type,type,
    p705: $i > $o ).

thf(p605_type,type,
    p605: $i > $o ).

thf(p505_type,type,
    p505: $i > $o ).

thf(p405_type,type,
    p405: $i > $o ).

thf(p305_type,type,
    p305: $i > $o ).

thf(p205_type,type,
    p205: $i > $o ).

thf(p105_type,type,
    p105: $i > $o ).

thf(p1104_type,type,
    p1104: $i > $o ).

thf(p1004_type,type,
    p1004: $i > $o ).

thf(p904_type,type,
    p904: $i > $o ).

thf(p804_type,type,
    p804: $i > $o ).

thf(p704_type,type,
    p704: $i > $o ).

thf(p604_type,type,
    p604: $i > $o ).

thf(p504_type,type,
    p504: $i > $o ).

thf(p404_type,type,
    p404: $i > $o ).

thf(p304_type,type,
    p304: $i > $o ).

thf(p204_type,type,
    p204: $i > $o ).

thf(p104_type,type,
    p104: $i > $o ).

thf(p1103_type,type,
    p1103: $i > $o ).

thf(p1003_type,type,
    p1003: $i > $o ).

thf(p903_type,type,
    p903: $i > $o ).

thf(p803_type,type,
    p803: $i > $o ).

thf(p703_type,type,
    p703: $i > $o ).

thf(p603_type,type,
    p603: $i > $o ).

thf(p503_type,type,
    p503: $i > $o ).

thf(p403_type,type,
    p403: $i > $o ).

thf(p303_type,type,
    p303: $i > $o ).

thf(p203_type,type,
    p203: $i > $o ).

thf(p103_type,type,
    p103: $i > $o ).

thf(p1102_type,type,
    p1102: $i > $o ).

thf(p1002_type,type,
    p1002: $i > $o ).

thf(p902_type,type,
    p902: $i > $o ).

thf(p802_type,type,
    p802: $i > $o ).

thf(p702_type,type,
    p702: $i > $o ).

thf(p602_type,type,
    p602: $i > $o ).

thf(p502_type,type,
    p502: $i > $o ).

thf(p402_type,type,
    p402: $i > $o ).

thf(p302_type,type,
    p302: $i > $o ).

thf(p202_type,type,
    p202: $i > $o ).

thf(p102_type,type,
    p102: $i > $o ).

thf(p1101_type,type,
    p1101: $i > $o ).

thf(p1001_type,type,
    p1001: $i > $o ).

thf(p901_type,type,
    p901: $i > $o ).

thf(p801_type,type,
    p801: $i > $o ).

thf(p701_type,type,
    p701: $i > $o ).

thf(p601_type,type,
    p601: $i > $o ).

thf(p501_type,type,
    p501: $i > $o ).

thf(p401_type,type,
    p401: $i > $o ).

thf(p301_type,type,
    p301: $i > $o ).

thf(p201_type,type,
    p201: $i > $o ).

thf(p101_type,type,
    p101: $i > $o ).

thf(sk1_type,type,
    sk1: $i ).

thf(sk80_type,type,
    sk80: $i > $i ).

thf(sk81_type,type,
    sk81: $i > $i ).

thf(sk114_type,type,
    sk114: $i > $i ).

thf(sk115_type,type,
    sk115: $i > $i ).

thf(sk263_type,type,
    sk263: $i > $i ).

thf(3,axiom,
    ! [A: $i] : ( r1 @ A @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).

thf(1147,plain,
    ! [A: $i] : ( r1 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(1148,plain,
    ! [A: $i] : ( r1 @ A @ A ),
    inference(cnf,[status(esa)],[1147]) ).

thf(1,conjecture,
    ~ ? [A: $i] :
        ~ ( ~ ! [B: $i] :
                ( ~ ( r1 @ A @ B )
                | ~ ( ( ( p1110 @ B )
                      & ( p1010 @ B ) )
                    | ( ( p1110 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p910 @ C ) ) )
                    | ( ( p1010 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p910 @ C ) ) )
                    | ( ( p1110 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p810 @ C ) ) )
                    | ( ( p1010 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p810 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p910 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p810 @ C ) ) )
                    | ( ( p1110 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p710 @ C ) ) )
                    | ( ( p1010 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p710 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p910 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p710 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p810 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p710 @ C ) ) )
                    | ( ( p1110 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p610 @ C ) ) )
                    | ( ( p1010 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p610 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p910 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p610 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p810 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p610 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p710 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p610 @ C ) ) )
                    | ( ( p1110 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p510 @ C ) ) )
                    | ( ( p1010 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p510 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p910 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p510 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p810 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p510 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p710 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p510 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p610 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p510 @ C ) ) )
                    | ( ( p1110 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p410 @ C ) ) )
                    | ( ( p1010 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p410 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p910 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p410 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p810 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p410 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p710 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p410 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p610 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p410 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p510 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p410 @ C ) ) )
                    | ( ( p1110 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p310 @ C ) ) )
                    | ( ( p1010 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p310 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p910 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p310 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p810 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p310 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p710 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p310 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p610 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p310 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p510 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p310 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p410 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p310 @ C ) ) )
                    | ( ( p1110 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p210 @ C ) ) )
                    | ( ( p1010 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p210 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p910 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p210 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p810 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p210 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p710 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p210 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p610 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p210 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p510 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p210 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p410 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p210 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p310 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p210 @ C ) ) )
                    | ( ( p1110 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p110 @ C ) ) )
                    | ( ( p1010 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p110 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p910 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p110 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p810 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p110 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p710 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p110 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p610 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p110 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p510 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p110 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p410 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p110 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p310 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p110 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p210 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p110 @ C ) ) )
                    | ( ( p1109 @ B )
                      & ( p1009 @ B ) )
                    | ( ( p1109 @ B )
                      & ( p909 @ B ) )
                    | ( ( p1009 @ B )
                      & ( p909 @ B ) )
                    | ( ( p1109 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p809 @ C ) ) )
                    | ( ( p1009 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p809 @ C ) ) )
                    | ( ( p909 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p809 @ C ) ) )
                    | ( ( p1109 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p709 @ C ) ) )
                    | ( ( p1009 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p709 @ C ) ) )
                    | ( ( p909 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p709 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p809 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p709 @ C ) ) )
                    | ( ( p1109 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p609 @ C ) ) )
                    | ( ( p1009 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p609 @ C ) ) )
                    | ( ( p909 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p609 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p809 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p609 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p709 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p609 @ C ) ) )
                    | ( ( p1109 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p509 @ C ) ) )
                    | ( ( p1009 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p509 @ C ) ) )
                    | ( ( p909 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p509 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p809 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p509 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p709 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p509 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p609 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p509 @ C ) ) )
                    | ( ( p1109 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p409 @ C ) ) )
                    | ( ( p1009 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p409 @ C ) ) )
                    | ( ( p909 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p409 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p809 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p409 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p709 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p409 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p609 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p409 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p509 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p409 @ C ) ) )
                    | ( ( p1109 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p309 @ C ) ) )
                    | ( ( p1009 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p309 @ C ) ) )
                    | ( ( p909 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p309 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p809 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p309 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p709 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p309 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p609 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p309 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p509 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p309 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p409 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p309 @ C ) ) )
                    | ( ( p1109 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p209 @ C ) ) )
                    | ( ( p1009 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p209 @ C ) ) )
                    | ( ( p909 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p209 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p809 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p209 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p709 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p209 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p609 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p209 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p509 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p209 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p409 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p209 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p309 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p209 @ C ) ) )
                    | ( ( p1109 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p109 @ C ) ) )
                    | ( ( p1009 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p109 @ C ) ) )
                    | ( ( p909 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p109 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p809 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p109 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p709 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p109 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p609 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p109 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p509 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p109 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p409 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p109 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p309 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p109 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p209 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p109 @ C ) ) )
                    | ( ( p1108 @ B )
                      & ( p1008 @ B ) )
                    | ( ( p1108 @ B )
                      & ( p908 @ B ) )
                    | ( ( p1008 @ B )
                      & ( p908 @ B ) )
                    | ( ( p1108 @ B )
                      & ( p808 @ B ) )
                    | ( ( p1008 @ B )
                      & ( p808 @ B ) )
                    | ( ( p908 @ B )
                      & ( p808 @ B ) )
                    | ( ( p1108 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p708 @ C ) ) )
                    | ( ( p1008 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p708 @ C ) ) )
                    | ( ( p908 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p708 @ C ) ) )
                    | ( ( p808 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p708 @ C ) ) )
                    | ( ( p1108 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p608 @ C ) ) )
                    | ( ( p1008 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p608 @ C ) ) )
                    | ( ( p908 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p608 @ C ) ) )
                    | ( ( p808 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p608 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p708 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p608 @ C ) ) )
                    | ( ( p1108 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p508 @ C ) ) )
                    | ( ( p1008 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p508 @ C ) ) )
                    | ( ( p908 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p508 @ C ) ) )
                    | ( ( p808 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p508 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p708 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p508 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p608 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p508 @ C ) ) )
                    | ( ( p1108 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p408 @ C ) ) )
                    | ( ( p1008 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p408 @ C ) ) )
                    | ( ( p908 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p408 @ C ) ) )
                    | ( ( p808 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p408 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p708 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p408 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p608 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p408 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p508 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p408 @ C ) ) )
                    | ( ( p1108 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p308 @ C ) ) )
                    | ( ( p1008 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p308 @ C ) ) )
                    | ( ( p908 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p308 @ C ) ) )
                    | ( ( p808 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p308 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p708 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p308 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p608 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p308 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p508 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p308 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p408 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p308 @ C ) ) )
                    | ( ( p1108 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p208 @ C ) ) )
                    | ( ( p1008 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p208 @ C ) ) )
                    | ( ( p908 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p208 @ C ) ) )
                    | ( ( p808 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p208 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p708 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p208 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p608 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p208 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p508 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p208 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p408 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p208 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p308 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p208 @ C ) ) )
                    | ( ( p1108 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p108 @ C ) ) )
                    | ( ( p1008 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p108 @ C ) ) )
                    | ( ( p908 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p108 @ C ) ) )
                    | ( ( p808 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p108 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p708 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p108 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p608 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p108 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p508 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p108 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p408 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p108 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p308 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p108 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p208 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p108 @ C ) ) )
                    | ( ( p1107 @ B )
                      & ( p1007 @ B ) )
                    | ( ( p1107 @ B )
                      & ( p907 @ B ) )
                    | ( ( p1007 @ B )
                      & ( p907 @ B ) )
                    | ( ( p1107 @ B )
                      & ( p807 @ B ) )
                    | ( ( p1007 @ B )
                      & ( p807 @ B ) )
                    | ( ( p907 @ B )
                      & ( p807 @ B ) )
                    | ( ( p1107 @ B )
                      & ( p707 @ B ) )
                    | ( ( p1007 @ B )
                      & ( p707 @ B ) )
                    | ( ( p907 @ B )
                      & ( p707 @ B ) )
                    | ( ( p807 @ B )
                      & ( p707 @ B ) )
                    | ( ( p1107 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p607 @ C ) ) )
                    | ( ( p1007 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p607 @ C ) ) )
                    | ( ( p907 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p607 @ C ) ) )
                    | ( ( p807 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p607 @ C ) ) )
                    | ( ( p707 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p607 @ C ) ) )
                    | ( ( p1107 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p507 @ C ) ) )
                    | ( ( p1007 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p507 @ C ) ) )
                    | ( ( p907 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p507 @ C ) ) )
                    | ( ( p807 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p507 @ C ) ) )
                    | ( ( p707 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p507 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p607 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p507 @ C ) ) )
                    | ( ( p1107 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p407 @ C ) ) )
                    | ( ( p1007 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p407 @ C ) ) )
                    | ( ( p907 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p407 @ C ) ) )
                    | ( ( p807 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p407 @ C ) ) )
                    | ( ( p707 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p407 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p607 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p407 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p507 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p407 @ C ) ) )
                    | ( ( p1107 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p307 @ C ) ) )
                    | ( ( p1007 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p307 @ C ) ) )
                    | ( ( p907 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p307 @ C ) ) )
                    | ( ( p807 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p307 @ C ) ) )
                    | ( ( p707 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p307 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p607 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p307 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p507 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p307 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p407 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p307 @ C ) ) )
                    | ( ( p1107 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p207 @ C ) ) )
                    | ( ( p1007 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p207 @ C ) ) )
                    | ( ( p907 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p207 @ C ) ) )
                    | ( ( p807 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p207 @ C ) ) )
                    | ( ( p707 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p207 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p607 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p207 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p507 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p207 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p407 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p207 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p307 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p207 @ C ) ) )
                    | ( ( p1107 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p107 @ C ) ) )
                    | ( ( p1007 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p107 @ C ) ) )
                    | ( ( p907 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p107 @ C ) ) )
                    | ( ( p807 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p107 @ C ) ) )
                    | ( ( p707 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p107 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p607 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p107 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p507 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p107 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p407 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p107 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p307 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p107 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p207 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p107 @ C ) ) )
                    | ( ( p1106 @ B )
                      & ( p1006 @ B ) )
                    | ( ( p1106 @ B )
                      & ( p906 @ B ) )
                    | ( ( p1006 @ B )
                      & ( p906 @ B ) )
                    | ( ( p1106 @ B )
                      & ( p806 @ B ) )
                    | ( ( p1006 @ B )
                      & ( p806 @ B ) )
                    | ( ( p906 @ B )
                      & ( p806 @ B ) )
                    | ( ( p1106 @ B )
                      & ( p706 @ B ) )
                    | ( ( p1006 @ B )
                      & ( p706 @ B ) )
                    | ( ( p906 @ B )
                      & ( p706 @ B ) )
                    | ( ( p806 @ B )
                      & ( p706 @ B ) )
                    | ( ( p1106 @ B )
                      & ( p606 @ B ) )
                    | ( ( p1006 @ B )
                      & ( p606 @ B ) )
                    | ( ( p906 @ B )
                      & ( p606 @ B ) )
                    | ( ( p806 @ B )
                      & ( p606 @ B ) )
                    | ( ( p706 @ B )
                      & ( p606 @ B ) )
                    | ( ( p1106 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p506 @ C ) ) )
                    | ( ( p1006 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p506 @ C ) ) )
                    | ( ( p906 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p506 @ C ) ) )
                    | ( ( p806 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p506 @ C ) ) )
                    | ( ( p706 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p506 @ C ) ) )
                    | ( ( p606 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p506 @ C ) ) )
                    | ( ( p1106 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p406 @ C ) ) )
                    | ( ( p1006 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p406 @ C ) ) )
                    | ( ( p906 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p406 @ C ) ) )
                    | ( ( p806 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p406 @ C ) ) )
                    | ( ( p706 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p406 @ C ) ) )
                    | ( ( p606 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p406 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p506 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p406 @ C ) ) )
                    | ( ( p1106 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p306 @ C ) ) )
                    | ( ( p1006 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p306 @ C ) ) )
                    | ( ( p906 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p306 @ C ) ) )
                    | ( ( p806 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p306 @ C ) ) )
                    | ( ( p706 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p306 @ C ) ) )
                    | ( ( p606 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p306 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p506 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p306 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p406 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p306 @ C ) ) )
                    | ( ( p1106 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p206 @ C ) ) )
                    | ( ( p1006 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p206 @ C ) ) )
                    | ( ( p906 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p206 @ C ) ) )
                    | ( ( p806 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p206 @ C ) ) )
                    | ( ( p706 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p206 @ C ) ) )
                    | ( ( p606 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p206 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p506 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p206 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p406 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p206 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p306 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p206 @ C ) ) )
                    | ( ( p1106 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p106 @ C ) ) )
                    | ( ( p1006 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p106 @ C ) ) )
                    | ( ( p906 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p106 @ C ) ) )
                    | ( ( p806 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p106 @ C ) ) )
                    | ( ( p706 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p106 @ C ) ) )
                    | ( ( p606 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p106 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p506 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p106 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p406 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p106 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p306 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p106 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p206 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p106 @ C ) ) )
                    | ( ( p1105 @ B )
                      & ( p1005 @ B ) )
                    | ( ( p1105 @ B )
                      & ( p905 @ B ) )
                    | ( ( p1005 @ B )
                      & ( p905 @ B ) )
                    | ( ( p1105 @ B )
                      & ( p805 @ B ) )
                    | ( ( p1005 @ B )
                      & ( p805 @ B ) )
                    | ( ( p905 @ B )
                      & ( p805 @ B ) )
                    | ( ( p1105 @ B )
                      & ( p705 @ B ) )
                    | ( ( p1005 @ B )
                      & ( p705 @ B ) )
                    | ( ( p905 @ B )
                      & ( p705 @ B ) )
                    | ( ( p805 @ B )
                      & ( p705 @ B ) )
                    | ( ( p1105 @ B )
                      & ( p605 @ B ) )
                    | ( ( p1005 @ B )
                      & ( p605 @ B ) )
                    | ( ( p905 @ B )
                      & ( p605 @ B ) )
                    | ( ( p805 @ B )
                      & ( p605 @ B ) )
                    | ( ( p705 @ B )
                      & ( p605 @ B ) )
                    | ( ( p1105 @ B )
                      & ( p505 @ B ) )
                    | ( ( p1005 @ B )
                      & ( p505 @ B ) )
                    | ( ( p905 @ B )
                      & ( p505 @ B ) )
                    | ( ( p805 @ B )
                      & ( p505 @ B ) )
                    | ( ( p705 @ B )
                      & ( p505 @ B ) )
                    | ( ( p605 @ B )
                      & ( p505 @ B ) )
                    | ( ( p1105 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p405 @ C ) ) )
                    | ( ( p1005 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p405 @ C ) ) )
                    | ( ( p905 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p405 @ C ) ) )
                    | ( ( p805 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p405 @ C ) ) )
                    | ( ( p705 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p405 @ C ) ) )
                    | ( ( p605 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p405 @ C ) ) )
                    | ( ( p505 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p405 @ C ) ) )
                    | ( ( p1105 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p305 @ C ) ) )
                    | ( ( p1005 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p305 @ C ) ) )
                    | ( ( p905 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p305 @ C ) ) )
                    | ( ( p805 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p305 @ C ) ) )
                    | ( ( p705 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p305 @ C ) ) )
                    | ( ( p605 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p305 @ C ) ) )
                    | ( ( p505 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p305 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p405 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p305 @ C ) ) )
                    | ( ( p1105 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p205 @ C ) ) )
                    | ( ( p1005 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p205 @ C ) ) )
                    | ( ( p905 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p205 @ C ) ) )
                    | ( ( p805 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p205 @ C ) ) )
                    | ( ( p705 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p205 @ C ) ) )
                    | ( ( p605 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p205 @ C ) ) )
                    | ( ( p505 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p205 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p405 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p205 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p305 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p205 @ C ) ) )
                    | ( ( p1105 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p105 @ C ) ) )
                    | ( ( p1005 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p105 @ C ) ) )
                    | ( ( p905 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p105 @ C ) ) )
                    | ( ( p805 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p105 @ C ) ) )
                    | ( ( p705 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p105 @ C ) ) )
                    | ( ( p605 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p105 @ C ) ) )
                    | ( ( p505 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p105 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p405 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p105 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p305 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p105 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p205 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p105 @ C ) ) )
                    | ( ( p1104 @ B )
                      & ( p1004 @ B ) )
                    | ( ( p1104 @ B )
                      & ( p904 @ B ) )
                    | ( ( p1004 @ B )
                      & ( p904 @ B ) )
                    | ( ( p1104 @ B )
                      & ( p804 @ B ) )
                    | ( ( p1004 @ B )
                      & ( p804 @ B ) )
                    | ( ( p904 @ B )
                      & ( p804 @ B ) )
                    | ( ( p1104 @ B )
                      & ( p704 @ B ) )
                    | ( ( p1004 @ B )
                      & ( p704 @ B ) )
                    | ( ( p904 @ B )
                      & ( p704 @ B ) )
                    | ( ( p804 @ B )
                      & ( p704 @ B ) )
                    | ( ( p1104 @ B )
                      & ( p604 @ B ) )
                    | ( ( p1004 @ B )
                      & ( p604 @ B ) )
                    | ( ( p904 @ B )
                      & ( p604 @ B ) )
                    | ( ( p804 @ B )
                      & ( p604 @ B ) )
                    | ( ( p704 @ B )
                      & ( p604 @ B ) )
                    | ( ( p1104 @ B )
                      & ( p504 @ B ) )
                    | ( ( p1004 @ B )
                      & ( p504 @ B ) )
                    | ( ( p904 @ B )
                      & ( p504 @ B ) )
                    | ( ( p804 @ B )
                      & ( p504 @ B ) )
                    | ( ( p704 @ B )
                      & ( p504 @ B ) )
                    | ( ( p604 @ B )
                      & ( p504 @ B ) )
                    | ( ( p1104 @ B )
                      & ( p404 @ B ) )
                    | ( ( p1004 @ B )
                      & ( p404 @ B ) )
                    | ( ( p904 @ B )
                      & ( p404 @ B ) )
                    | ( ( p804 @ B )
                      & ( p404 @ B ) )
                    | ( ( p704 @ B )
                      & ( p404 @ B ) )
                    | ( ( p604 @ B )
                      & ( p404 @ B ) )
                    | ( ( p504 @ B )
                      & ( p404 @ B ) )
                    | ( ( p1104 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p304 @ C ) ) )
                    | ( ( p1004 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p304 @ C ) ) )
                    | ( ( p904 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p304 @ C ) ) )
                    | ( ( p804 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p304 @ C ) ) )
                    | ( ( p704 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p304 @ C ) ) )
                    | ( ( p604 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p304 @ C ) ) )
                    | ( ( p504 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p304 @ C ) ) )
                    | ( ( p404 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p304 @ C ) ) )
                    | ( ( p1104 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p204 @ C ) ) )
                    | ( ( p1004 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p204 @ C ) ) )
                    | ( ( p904 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p204 @ C ) ) )
                    | ( ( p804 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p204 @ C ) ) )
                    | ( ( p704 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p204 @ C ) ) )
                    | ( ( p604 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p204 @ C ) ) )
                    | ( ( p504 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p204 @ C ) ) )
                    | ( ( p404 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p204 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p304 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p204 @ C ) ) )
                    | ( ( p1104 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p104 @ C ) ) )
                    | ( ( p1004 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p104 @ C ) ) )
                    | ( ( p904 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p104 @ C ) ) )
                    | ( ( p804 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p104 @ C ) ) )
                    | ( ( p704 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p104 @ C ) ) )
                    | ( ( p604 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p104 @ C ) ) )
                    | ( ( p504 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p104 @ C ) ) )
                    | ( ( p404 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p104 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p304 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p104 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p204 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p104 @ C ) ) )
                    | ( ( p1103 @ B )
                      & ( p1003 @ B ) )
                    | ( ( p1103 @ B )
                      & ( p903 @ B ) )
                    | ( ( p1003 @ B )
                      & ( p903 @ B ) )
                    | ( ( p1103 @ B )
                      & ( p803 @ B ) )
                    | ( ( p1003 @ B )
                      & ( p803 @ B ) )
                    | ( ( p903 @ B )
                      & ( p803 @ B ) )
                    | ( ( p1103 @ B )
                      & ( p703 @ B ) )
                    | ( ( p1003 @ B )
                      & ( p703 @ B ) )
                    | ( ( p903 @ B )
                      & ( p703 @ B ) )
                    | ( ( p803 @ B )
                      & ( p703 @ B ) )
                    | ( ( p1103 @ B )
                      & ( p603 @ B ) )
                    | ( ( p1003 @ B )
                      & ( p603 @ B ) )
                    | ( ( p903 @ B )
                      & ( p603 @ B ) )
                    | ( ( p803 @ B )
                      & ( p603 @ B ) )
                    | ( ( p703 @ B )
                      & ( p603 @ B ) )
                    | ( ( p1103 @ B )
                      & ( p503 @ B ) )
                    | ( ( p1003 @ B )
                      & ( p503 @ B ) )
                    | ( ( p903 @ B )
                      & ( p503 @ B ) )
                    | ( ( p803 @ B )
                      & ( p503 @ B ) )
                    | ( ( p703 @ B )
                      & ( p503 @ B ) )
                    | ( ( p603 @ B )
                      & ( p503 @ B ) )
                    | ( ( p1103 @ B )
                      & ( p403 @ B ) )
                    | ( ( p1003 @ B )
                      & ( p403 @ B ) )
                    | ( ( p903 @ B )
                      & ( p403 @ B ) )
                    | ( ( p803 @ B )
                      & ( p403 @ B ) )
                    | ( ( p703 @ B )
                      & ( p403 @ B ) )
                    | ( ( p603 @ B )
                      & ( p403 @ B ) )
                    | ( ( p503 @ B )
                      & ( p403 @ B ) )
                    | ( ( p1103 @ B )
                      & ( p303 @ B ) )
                    | ( ( p1003 @ B )
                      & ( p303 @ B ) )
                    | ( ( p903 @ B )
                      & ( p303 @ B ) )
                    | ( ( p803 @ B )
                      & ( p303 @ B ) )
                    | ( ( p703 @ B )
                      & ( p303 @ B ) )
                    | ( ( p603 @ B )
                      & ( p303 @ B ) )
                    | ( ( p503 @ B )
                      & ( p303 @ B ) )
                    | ( ( p403 @ B )
                      & ( p303 @ B ) )
                    | ( ( p1103 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p203 @ C ) ) )
                    | ( ( p1003 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p203 @ C ) ) )
                    | ( ( p903 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p203 @ C ) ) )
                    | ( ( p803 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p203 @ C ) ) )
                    | ( ( p703 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p203 @ C ) ) )
                    | ( ( p603 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p203 @ C ) ) )
                    | ( ( p503 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p203 @ C ) ) )
                    | ( ( p403 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p203 @ C ) ) )
                    | ( ( p303 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p203 @ C ) ) )
                    | ( ( p1103 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p103 @ C ) ) )
                    | ( ( p1003 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p103 @ C ) ) )
                    | ( ( p903 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p103 @ C ) ) )
                    | ( ( p803 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p103 @ C ) ) )
                    | ( ( p703 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p103 @ C ) ) )
                    | ( ( p603 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p103 @ C ) ) )
                    | ( ( p503 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p103 @ C ) ) )
                    | ( ( p403 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p103 @ C ) ) )
                    | ( ( p303 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p103 @ C ) ) )
                    | ( ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p203 @ C ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p103 @ C ) ) )
                    | ( ( p1102 @ B )
                      & ( p1002 @ B ) )
                    | ( ( p1102 @ B )
                      & ( p902 @ B ) )
                    | ( ( p1002 @ B )
                      & ( p902 @ B ) )
                    | ( ( p1102 @ B )
                      & ( p802 @ B ) )
                    | ( ( p1002 @ B )
                      & ( p802 @ B ) )
                    | ( ( p902 @ B )
                      & ( p802 @ B ) )
                    | ( ( p1102 @ B )
                      & ( p702 @ B ) )
                    | ( ( p1002 @ B )
                      & ( p702 @ B ) )
                    | ( ( p902 @ B )
                      & ( p702 @ B ) )
                    | ( ( p802 @ B )
                      & ( p702 @ B ) )
                    | ( ( p1102 @ B )
                      & ( p602 @ B ) )
                    | ( ( p1002 @ B )
                      & ( p602 @ B ) )
                    | ( ( p902 @ B )
                      & ( p602 @ B ) )
                    | ( ( p802 @ B )
                      & ( p602 @ B ) )
                    | ( ( p702 @ B )
                      & ( p602 @ B ) )
                    | ( ( p1102 @ B )
                      & ( p502 @ B ) )
                    | ( ( p1002 @ B )
                      & ( p502 @ B ) )
                    | ( ( p902 @ B )
                      & ( p502 @ B ) )
                    | ( ( p802 @ B )
                      & ( p502 @ B ) )
                    | ( ( p702 @ B )
                      & ( p502 @ B ) )
                    | ( ( p602 @ B )
                      & ( p502 @ B ) )
                    | ( ( p1102 @ B )
                      & ( p402 @ B ) )
                    | ( ( p1002 @ B )
                      & ( p402 @ B ) )
                    | ( ( p902 @ B )
                      & ( p402 @ B ) )
                    | ( ( p802 @ B )
                      & ( p402 @ B ) )
                    | ( ( p702 @ B )
                      & ( p402 @ B ) )
                    | ( ( p602 @ B )
                      & ( p402 @ B ) )
                    | ( ( p502 @ B )
                      & ( p402 @ B ) )
                    | ( ( p1102 @ B )
                      & ( p302 @ B ) )
                    | ( ( p1002 @ B )
                      & ( p302 @ B ) )
                    | ( ( p902 @ B )
                      & ( p302 @ B ) )
                    | ( ( p802 @ B )
                      & ( p302 @ B ) )
                    | ( ( p702 @ B )
                      & ( p302 @ B ) )
                    | ( ( p602 @ B )
                      & ( p302 @ B ) )
                    | ( ( p502 @ B )
                      & ( p302 @ B ) )
                    | ( ( p402 @ B )
                      & ( p302 @ B ) )
                    | ( ( p1102 @ B )
                      & ( p202 @ B ) )
                    | ( ( p1002 @ B )
                      & ( p202 @ B ) )
                    | ( ( p902 @ B )
                      & ( p202 @ B ) )
                    | ( ( p802 @ B )
                      & ( p202 @ B ) )
                    | ( ( p702 @ B )
                      & ( p202 @ B ) )
                    | ( ( p602 @ B )
                      & ( p202 @ B ) )
                    | ( ( p502 @ B )
                      & ( p202 @ B ) )
                    | ( ( p402 @ B )
                      & ( p202 @ B ) )
                    | ( ( p302 @ B )
                      & ( p202 @ B ) )
                    | ( ( p1102 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p102 @ C ) ) )
                    | ( ( p1002 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p102 @ C ) ) )
                    | ( ( p902 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p102 @ C ) ) )
                    | ( ( p802 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p102 @ C ) ) )
                    | ( ( p702 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p102 @ C ) ) )
                    | ( ( p602 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p102 @ C ) ) )
                    | ( ( p502 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p102 @ C ) ) )
                    | ( ( p402 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p102 @ C ) ) )
                    | ( ( p302 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p102 @ C ) ) )
                    | ( ( p202 @ B )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ( p102 @ C ) ) )
                    | ( ( p1101 @ B )
                      & ( p1001 @ B ) )
                    | ( ( p1101 @ B )
                      & ( p901 @ B ) )
                    | ( ( p1001 @ B )
                      & ( p901 @ B ) )
                    | ( ( p1101 @ B )
                      & ( p801 @ B ) )
                    | ( ( p1001 @ B )
                      & ( p801 @ B ) )
                    | ( ( p901 @ B )
                      & ( p801 @ B ) )
                    | ( ( p1101 @ B )
                      & ( p701 @ B ) )
                    | ( ( p1001 @ B )
                      & ( p701 @ B ) )
                    | ( ( p901 @ B )
                      & ( p701 @ B ) )
                    | ( ( p801 @ B )
                      & ( p701 @ B ) )
                    | ( ( p1101 @ B )
                      & ( p601 @ B ) )
                    | ( ( p1001 @ B )
                      & ( p601 @ B ) )
                    | ( ( p901 @ B )
                      & ( p601 @ B ) )
                    | ( ( p801 @ B )
                      & ( p601 @ B ) )
                    | ( ( p701 @ B )
                      & ( p601 @ B ) )
                    | ( ( p1101 @ B )
                      & ( p501 @ B ) )
                    | ( ( p1001 @ B )
                      & ( p501 @ B ) )
                    | ( ( p901 @ B )
                      & ( p501 @ B ) )
                    | ( ( p801 @ B )
                      & ( p501 @ B ) )
                    | ( ( p701 @ B )
                      & ( p501 @ B ) )
                    | ( ( p601 @ B )
                      & ( p501 @ B ) )
                    | ( ( p1101 @ B )
                      & ( p401 @ B ) )
                    | ( ( p1001 @ B )
                      & ( p401 @ B ) )
                    | ( ( p901 @ B )
                      & ( p401 @ B ) )
                    | ( ( p801 @ B )
                      & ( p401 @ B ) )
                    | ( ( p701 @ B )
                      & ( p401 @ B ) )
                    | ( ( p601 @ B )
                      & ( p401 @ B ) )
                    | ( ( p501 @ B )
                      & ( p401 @ B ) )
                    | ( ( p1101 @ B )
                      & ( p301 @ B ) )
                    | ( ( p1001 @ B )
                      & ( p301 @ B ) )
                    | ( ( p901 @ B )
                      & ( p301 @ B ) )
                    | ( ( p801 @ B )
                      & ( p301 @ B ) )
                    | ( ( p701 @ B )
                      & ( p301 @ B ) )
                    | ( ( p601 @ B )
                      & ( p301 @ B ) )
                    | ( ( p501 @ B )
                      & ( p301 @ B ) )
                    | ( ( p401 @ B )
                      & ( p301 @ B ) )
                    | ( ( p1101 @ B )
                      & ( p201 @ B ) )
                    | ( ( p1001 @ B )
                      & ( p201 @ B ) )
                    | ( ( p901 @ B )
                      & ( p201 @ B ) )
                    | ( ( p801 @ B )
                      & ( p201 @ B ) )
                    | ( ( p701 @ B )
                      & ( p201 @ B ) )
                    | ( ( p601 @ B )
                      & ( p201 @ B ) )
                    | ( ( p501 @ B )
                      & ( p201 @ B ) )
                    | ( ( p401 @ B )
                      & ( p201 @ B ) )
                    | ( ( p301 @ B )
                      & ( p201 @ B ) )
                    | ( ( p1101 @ B )
                      & ( p101 @ B ) )
                    | ( ( p1001 @ B )
                      & ( p101 @ B ) )
                    | ( ( p901 @ B )
                      & ( p101 @ B ) )
                    | ( ( p801 @ B )
                      & ( p101 @ B ) )
                    | ( ( p701 @ B )
                      & ( p101 @ B ) )
                    | ( ( p601 @ B )
                      & ( p101 @ B ) )
                    | ( ( p501 @ B )
                      & ( p101 @ B ) )
                    | ( ( p401 @ B )
                      & ( p101 @ B ) )
                    | ( ( p301 @ B )
                      & ( p101 @ B ) )
                    | ( ( p201 @ B )
                      & ( p101 @ B ) ) ) )
          | ~ ( ( ( p1110 @ A )
                | ( p1109 @ A )
                | ( p1108 @ A )
                | ( p1107 @ A )
                | ( p1106 @ A )
                | ( p1105 @ A )
                | ( p1104 @ A )
                | ( p1103 @ A )
                | ( p1102 @ A )
                | ( p1101 @ A ) )
              & ( ( p1010 @ A )
                | ( p1009 @ A )
                | ( p1008 @ A )
                | ( p1007 @ A )
                | ( p1006 @ A )
                | ( p1005 @ A )
                | ( p1004 @ A )
                | ( p1003 @ A )
                | ( p1002 @ A )
                | ( p1001 @ A ) )
              & ( ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p910 @ B ) )
                | ( p909 @ A )
                | ( p908 @ A )
                | ( p907 @ A )
                | ( p906 @ A )
                | ( p905 @ A )
                | ( p904 @ A )
                | ( p903 @ A )
                | ( p902 @ A )
                | ( p901 @ A ) )
              & ( ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p810 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p809 @ B ) )
                | ( p808 @ A )
                | ( p807 @ A )
                | ( p806 @ A )
                | ( p805 @ A )
                | ( p804 @ A )
                | ( p803 @ A )
                | ( p802 @ A )
                | ( p801 @ A ) )
              & ( ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p710 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p709 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p708 @ B ) )
                | ( p707 @ A )
                | ( p706 @ A )
                | ( p705 @ A )
                | ( p704 @ A )
                | ( p703 @ A )
                | ( p702 @ A )
                | ( p701 @ A ) )
              & ( ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p610 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p609 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p608 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p607 @ B ) )
                | ( p606 @ A )
                | ( p605 @ A )
                | ( p604 @ A )
                | ( p603 @ A )
                | ( p602 @ A )
                | ( p601 @ A ) )
              & ( ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p510 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p509 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p508 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p507 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p506 @ B ) )
                | ( p505 @ A )
                | ( p504 @ A )
                | ( p503 @ A )
                | ( p502 @ A )
                | ( p501 @ A ) )
              & ( ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p410 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p409 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p408 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p407 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p406 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p405 @ B ) )
                | ( p404 @ A )
                | ( p403 @ A )
                | ( p402 @ A )
                | ( p401 @ A ) )
              & ( ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p310 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p309 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p308 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p307 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p306 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p305 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p304 @ B ) )
                | ( p303 @ A )
                | ( p302 @ A )
                | ( p301 @ A ) )
              & ( ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p210 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p209 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p208 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p207 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p206 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p205 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p204 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p203 @ B ) )
                | ( p202 @ A )
                | ( p201 @ A ) )
              & ( ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p110 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p109 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p108 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p107 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p106 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p105 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p104 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p103 @ B ) )
                | ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( p102 @ B ) )
                | ( p101 @ A ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

thf(2,negated_conjecture,
    ~ ~ ? [A: $i] :
          ~ ( ~ ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ~ ( ( ( p1110 @ B )
                        & ( p1010 @ B ) )
                      | ( ( p1110 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) ) )
                      | ( ( p1010 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) ) )
                      | ( ( p1110 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) ) )
                      | ( ( p1010 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) ) )
                      | ( ( p1110 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) ) )
                      | ( ( p1010 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) ) )
                      | ( ( p1110 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) ) )
                      | ( ( p1010 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) ) )
                      | ( ( p1110 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) ) )
                      | ( ( p1010 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) ) )
                      | ( ( p1110 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) ) )
                      | ( ( p1010 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) ) )
                      | ( ( p1110 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) ) )
                      | ( ( p1010 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) ) )
                      | ( ( p1110 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) ) )
                      | ( ( p1010 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) ) )
                      | ( ( p1110 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ( p1010 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ( p1109 @ B )
                        & ( p1009 @ B ) )
                      | ( ( p1109 @ B )
                        & ( p909 @ B ) )
                      | ( ( p1009 @ B )
                        & ( p909 @ B ) )
                      | ( ( p1109 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) ) )
                      | ( ( p1009 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) ) )
                      | ( ( p909 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) ) )
                      | ( ( p1109 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) ) )
                      | ( ( p1009 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) ) )
                      | ( ( p909 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) ) )
                      | ( ( p1109 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) ) )
                      | ( ( p1009 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) ) )
                      | ( ( p909 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) ) )
                      | ( ( p1109 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) ) )
                      | ( ( p1009 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) ) )
                      | ( ( p909 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) ) )
                      | ( ( p1109 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) ) )
                      | ( ( p1009 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) ) )
                      | ( ( p909 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) ) )
                      | ( ( p1109 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) ) )
                      | ( ( p1009 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) ) )
                      | ( ( p909 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) ) )
                      | ( ( p1109 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) ) )
                      | ( ( p1009 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) ) )
                      | ( ( p909 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) ) )
                      | ( ( p1109 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ( p1009 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ( p909 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ( p1108 @ B )
                        & ( p1008 @ B ) )
                      | ( ( p1108 @ B )
                        & ( p908 @ B ) )
                      | ( ( p1008 @ B )
                        & ( p908 @ B ) )
                      | ( ( p1108 @ B )
                        & ( p808 @ B ) )
                      | ( ( p1008 @ B )
                        & ( p808 @ B ) )
                      | ( ( p908 @ B )
                        & ( p808 @ B ) )
                      | ( ( p1108 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) ) )
                      | ( ( p1008 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) ) )
                      | ( ( p908 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) ) )
                      | ( ( p808 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) ) )
                      | ( ( p1108 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) ) )
                      | ( ( p1008 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) ) )
                      | ( ( p908 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) ) )
                      | ( ( p808 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) ) )
                      | ( ( p1108 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) ) )
                      | ( ( p1008 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) ) )
                      | ( ( p908 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) ) )
                      | ( ( p808 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) ) )
                      | ( ( p1108 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) ) )
                      | ( ( p1008 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) ) )
                      | ( ( p908 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) ) )
                      | ( ( p808 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) ) )
                      | ( ( p1108 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) ) )
                      | ( ( p1008 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) ) )
                      | ( ( p908 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) ) )
                      | ( ( p808 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) ) )
                      | ( ( p1108 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) ) )
                      | ( ( p1008 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) ) )
                      | ( ( p908 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) ) )
                      | ( ( p808 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) ) )
                      | ( ( p1108 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ( p1008 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ( p908 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ( p808 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ( p1107 @ B )
                        & ( p1007 @ B ) )
                      | ( ( p1107 @ B )
                        & ( p907 @ B ) )
                      | ( ( p1007 @ B )
                        & ( p907 @ B ) )
                      | ( ( p1107 @ B )
                        & ( p807 @ B ) )
                      | ( ( p1007 @ B )
                        & ( p807 @ B ) )
                      | ( ( p907 @ B )
                        & ( p807 @ B ) )
                      | ( ( p1107 @ B )
                        & ( p707 @ B ) )
                      | ( ( p1007 @ B )
                        & ( p707 @ B ) )
                      | ( ( p907 @ B )
                        & ( p707 @ B ) )
                      | ( ( p807 @ B )
                        & ( p707 @ B ) )
                      | ( ( p1107 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) ) )
                      | ( ( p1007 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) ) )
                      | ( ( p907 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) ) )
                      | ( ( p807 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) ) )
                      | ( ( p707 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) ) )
                      | ( ( p1107 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) ) )
                      | ( ( p1007 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) ) )
                      | ( ( p907 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) ) )
                      | ( ( p807 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) ) )
                      | ( ( p707 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) ) )
                      | ( ( p1107 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) ) )
                      | ( ( p1007 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) ) )
                      | ( ( p907 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) ) )
                      | ( ( p807 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) ) )
                      | ( ( p707 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) ) )
                      | ( ( p1107 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) ) )
                      | ( ( p1007 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) ) )
                      | ( ( p907 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) ) )
                      | ( ( p807 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) ) )
                      | ( ( p707 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) ) )
                      | ( ( p1107 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) ) )
                      | ( ( p1007 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) ) )
                      | ( ( p907 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) ) )
                      | ( ( p807 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) ) )
                      | ( ( p707 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) ) )
                      | ( ( p1107 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ( p1007 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ( p907 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ( p807 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ( p707 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ( p1106 @ B )
                        & ( p1006 @ B ) )
                      | ( ( p1106 @ B )
                        & ( p906 @ B ) )
                      | ( ( p1006 @ B )
                        & ( p906 @ B ) )
                      | ( ( p1106 @ B )
                        & ( p806 @ B ) )
                      | ( ( p1006 @ B )
                        & ( p806 @ B ) )
                      | ( ( p906 @ B )
                        & ( p806 @ B ) )
                      | ( ( p1106 @ B )
                        & ( p706 @ B ) )
                      | ( ( p1006 @ B )
                        & ( p706 @ B ) )
                      | ( ( p906 @ B )
                        & ( p706 @ B ) )
                      | ( ( p806 @ B )
                        & ( p706 @ B ) )
                      | ( ( p1106 @ B )
                        & ( p606 @ B ) )
                      | ( ( p1006 @ B )
                        & ( p606 @ B ) )
                      | ( ( p906 @ B )
                        & ( p606 @ B ) )
                      | ( ( p806 @ B )
                        & ( p606 @ B ) )
                      | ( ( p706 @ B )
                        & ( p606 @ B ) )
                      | ( ( p1106 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) ) )
                      | ( ( p1006 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) ) )
                      | ( ( p906 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) ) )
                      | ( ( p806 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) ) )
                      | ( ( p706 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) ) )
                      | ( ( p606 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) ) )
                      | ( ( p1106 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) ) )
                      | ( ( p1006 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) ) )
                      | ( ( p906 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) ) )
                      | ( ( p806 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) ) )
                      | ( ( p706 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) ) )
                      | ( ( p606 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) ) )
                      | ( ( p1106 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) ) )
                      | ( ( p1006 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) ) )
                      | ( ( p906 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) ) )
                      | ( ( p806 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) ) )
                      | ( ( p706 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) ) )
                      | ( ( p606 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) ) )
                      | ( ( p1106 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) ) )
                      | ( ( p1006 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) ) )
                      | ( ( p906 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) ) )
                      | ( ( p806 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) ) )
                      | ( ( p706 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) ) )
                      | ( ( p606 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) ) )
                      | ( ( p1106 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ( p1006 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ( p906 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ( p806 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ( p706 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ( p606 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ( p1105 @ B )
                        & ( p1005 @ B ) )
                      | ( ( p1105 @ B )
                        & ( p905 @ B ) )
                      | ( ( p1005 @ B )
                        & ( p905 @ B ) )
                      | ( ( p1105 @ B )
                        & ( p805 @ B ) )
                      | ( ( p1005 @ B )
                        & ( p805 @ B ) )
                      | ( ( p905 @ B )
                        & ( p805 @ B ) )
                      | ( ( p1105 @ B )
                        & ( p705 @ B ) )
                      | ( ( p1005 @ B )
                        & ( p705 @ B ) )
                      | ( ( p905 @ B )
                        & ( p705 @ B ) )
                      | ( ( p805 @ B )
                        & ( p705 @ B ) )
                      | ( ( p1105 @ B )
                        & ( p605 @ B ) )
                      | ( ( p1005 @ B )
                        & ( p605 @ B ) )
                      | ( ( p905 @ B )
                        & ( p605 @ B ) )
                      | ( ( p805 @ B )
                        & ( p605 @ B ) )
                      | ( ( p705 @ B )
                        & ( p605 @ B ) )
                      | ( ( p1105 @ B )
                        & ( p505 @ B ) )
                      | ( ( p1005 @ B )
                        & ( p505 @ B ) )
                      | ( ( p905 @ B )
                        & ( p505 @ B ) )
                      | ( ( p805 @ B )
                        & ( p505 @ B ) )
                      | ( ( p705 @ B )
                        & ( p505 @ B ) )
                      | ( ( p605 @ B )
                        & ( p505 @ B ) )
                      | ( ( p1105 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) ) )
                      | ( ( p1005 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) ) )
                      | ( ( p905 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) ) )
                      | ( ( p805 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) ) )
                      | ( ( p705 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) ) )
                      | ( ( p605 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) ) )
                      | ( ( p505 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) ) )
                      | ( ( p1105 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) ) )
                      | ( ( p1005 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) ) )
                      | ( ( p905 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) ) )
                      | ( ( p805 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) ) )
                      | ( ( p705 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) ) )
                      | ( ( p605 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) ) )
                      | ( ( p505 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) ) )
                      | ( ( p1105 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) ) )
                      | ( ( p1005 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) ) )
                      | ( ( p905 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) ) )
                      | ( ( p805 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) ) )
                      | ( ( p705 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) ) )
                      | ( ( p605 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) ) )
                      | ( ( p505 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) ) )
                      | ( ( p1105 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ( p1005 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ( p905 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ( p805 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ( p705 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ( p605 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ( p505 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ( p1104 @ B )
                        & ( p1004 @ B ) )
                      | ( ( p1104 @ B )
                        & ( p904 @ B ) )
                      | ( ( p1004 @ B )
                        & ( p904 @ B ) )
                      | ( ( p1104 @ B )
                        & ( p804 @ B ) )
                      | ( ( p1004 @ B )
                        & ( p804 @ B ) )
                      | ( ( p904 @ B )
                        & ( p804 @ B ) )
                      | ( ( p1104 @ B )
                        & ( p704 @ B ) )
                      | ( ( p1004 @ B )
                        & ( p704 @ B ) )
                      | ( ( p904 @ B )
                        & ( p704 @ B ) )
                      | ( ( p804 @ B )
                        & ( p704 @ B ) )
                      | ( ( p1104 @ B )
                        & ( p604 @ B ) )
                      | ( ( p1004 @ B )
                        & ( p604 @ B ) )
                      | ( ( p904 @ B )
                        & ( p604 @ B ) )
                      | ( ( p804 @ B )
                        & ( p604 @ B ) )
                      | ( ( p704 @ B )
                        & ( p604 @ B ) )
                      | ( ( p1104 @ B )
                        & ( p504 @ B ) )
                      | ( ( p1004 @ B )
                        & ( p504 @ B ) )
                      | ( ( p904 @ B )
                        & ( p504 @ B ) )
                      | ( ( p804 @ B )
                        & ( p504 @ B ) )
                      | ( ( p704 @ B )
                        & ( p504 @ B ) )
                      | ( ( p604 @ B )
                        & ( p504 @ B ) )
                      | ( ( p1104 @ B )
                        & ( p404 @ B ) )
                      | ( ( p1004 @ B )
                        & ( p404 @ B ) )
                      | ( ( p904 @ B )
                        & ( p404 @ B ) )
                      | ( ( p804 @ B )
                        & ( p404 @ B ) )
                      | ( ( p704 @ B )
                        & ( p404 @ B ) )
                      | ( ( p604 @ B )
                        & ( p404 @ B ) )
                      | ( ( p504 @ B )
                        & ( p404 @ B ) )
                      | ( ( p1104 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) ) )
                      | ( ( p1004 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) ) )
                      | ( ( p904 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) ) )
                      | ( ( p804 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) ) )
                      | ( ( p704 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) ) )
                      | ( ( p604 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) ) )
                      | ( ( p504 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) ) )
                      | ( ( p404 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) ) )
                      | ( ( p1104 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) ) )
                      | ( ( p1004 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) ) )
                      | ( ( p904 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) ) )
                      | ( ( p804 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) ) )
                      | ( ( p704 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) ) )
                      | ( ( p604 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) ) )
                      | ( ( p504 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) ) )
                      | ( ( p404 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) ) )
                      | ( ( p1104 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ( p1004 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ( p904 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ( p804 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ( p704 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ( p604 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ( p504 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ( p404 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ( p1103 @ B )
                        & ( p1003 @ B ) )
                      | ( ( p1103 @ B )
                        & ( p903 @ B ) )
                      | ( ( p1003 @ B )
                        & ( p903 @ B ) )
                      | ( ( p1103 @ B )
                        & ( p803 @ B ) )
                      | ( ( p1003 @ B )
                        & ( p803 @ B ) )
                      | ( ( p903 @ B )
                        & ( p803 @ B ) )
                      | ( ( p1103 @ B )
                        & ( p703 @ B ) )
                      | ( ( p1003 @ B )
                        & ( p703 @ B ) )
                      | ( ( p903 @ B )
                        & ( p703 @ B ) )
                      | ( ( p803 @ B )
                        & ( p703 @ B ) )
                      | ( ( p1103 @ B )
                        & ( p603 @ B ) )
                      | ( ( p1003 @ B )
                        & ( p603 @ B ) )
                      | ( ( p903 @ B )
                        & ( p603 @ B ) )
                      | ( ( p803 @ B )
                        & ( p603 @ B ) )
                      | ( ( p703 @ B )
                        & ( p603 @ B ) )
                      | ( ( p1103 @ B )
                        & ( p503 @ B ) )
                      | ( ( p1003 @ B )
                        & ( p503 @ B ) )
                      | ( ( p903 @ B )
                        & ( p503 @ B ) )
                      | ( ( p803 @ B )
                        & ( p503 @ B ) )
                      | ( ( p703 @ B )
                        & ( p503 @ B ) )
                      | ( ( p603 @ B )
                        & ( p503 @ B ) )
                      | ( ( p1103 @ B )
                        & ( p403 @ B ) )
                      | ( ( p1003 @ B )
                        & ( p403 @ B ) )
                      | ( ( p903 @ B )
                        & ( p403 @ B ) )
                      | ( ( p803 @ B )
                        & ( p403 @ B ) )
                      | ( ( p703 @ B )
                        & ( p403 @ B ) )
                      | ( ( p603 @ B )
                        & ( p403 @ B ) )
                      | ( ( p503 @ B )
                        & ( p403 @ B ) )
                      | ( ( p1103 @ B )
                        & ( p303 @ B ) )
                      | ( ( p1003 @ B )
                        & ( p303 @ B ) )
                      | ( ( p903 @ B )
                        & ( p303 @ B ) )
                      | ( ( p803 @ B )
                        & ( p303 @ B ) )
                      | ( ( p703 @ B )
                        & ( p303 @ B ) )
                      | ( ( p603 @ B )
                        & ( p303 @ B ) )
                      | ( ( p503 @ B )
                        & ( p303 @ B ) )
                      | ( ( p403 @ B )
                        & ( p303 @ B ) )
                      | ( ( p1103 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) ) )
                      | ( ( p1003 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) ) )
                      | ( ( p903 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) ) )
                      | ( ( p803 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) ) )
                      | ( ( p703 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) ) )
                      | ( ( p603 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) ) )
                      | ( ( p503 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) ) )
                      | ( ( p403 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) ) )
                      | ( ( p303 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) ) )
                      | ( ( p1103 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ( p1003 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ( p903 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ( p803 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ( p703 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ( p603 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ( p503 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ( p403 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ( p303 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ( p1102 @ B )
                        & ( p1002 @ B ) )
                      | ( ( p1102 @ B )
                        & ( p902 @ B ) )
                      | ( ( p1002 @ B )
                        & ( p902 @ B ) )
                      | ( ( p1102 @ B )
                        & ( p802 @ B ) )
                      | ( ( p1002 @ B )
                        & ( p802 @ B ) )
                      | ( ( p902 @ B )
                        & ( p802 @ B ) )
                      | ( ( p1102 @ B )
                        & ( p702 @ B ) )
                      | ( ( p1002 @ B )
                        & ( p702 @ B ) )
                      | ( ( p902 @ B )
                        & ( p702 @ B ) )
                      | ( ( p802 @ B )
                        & ( p702 @ B ) )
                      | ( ( p1102 @ B )
                        & ( p602 @ B ) )
                      | ( ( p1002 @ B )
                        & ( p602 @ B ) )
                      | ( ( p902 @ B )
                        & ( p602 @ B ) )
                      | ( ( p802 @ B )
                        & ( p602 @ B ) )
                      | ( ( p702 @ B )
                        & ( p602 @ B ) )
                      | ( ( p1102 @ B )
                        & ( p502 @ B ) )
                      | ( ( p1002 @ B )
                        & ( p502 @ B ) )
                      | ( ( p902 @ B )
                        & ( p502 @ B ) )
                      | ( ( p802 @ B )
                        & ( p502 @ B ) )
                      | ( ( p702 @ B )
                        & ( p502 @ B ) )
                      | ( ( p602 @ B )
                        & ( p502 @ B ) )
                      | ( ( p1102 @ B )
                        & ( p402 @ B ) )
                      | ( ( p1002 @ B )
                        & ( p402 @ B ) )
                      | ( ( p902 @ B )
                        & ( p402 @ B ) )
                      | ( ( p802 @ B )
                        & ( p402 @ B ) )
                      | ( ( p702 @ B )
                        & ( p402 @ B ) )
                      | ( ( p602 @ B )
                        & ( p402 @ B ) )
                      | ( ( p502 @ B )
                        & ( p402 @ B ) )
                      | ( ( p1102 @ B )
                        & ( p302 @ B ) )
                      | ( ( p1002 @ B )
                        & ( p302 @ B ) )
                      | ( ( p902 @ B )
                        & ( p302 @ B ) )
                      | ( ( p802 @ B )
                        & ( p302 @ B ) )
                      | ( ( p702 @ B )
                        & ( p302 @ B ) )
                      | ( ( p602 @ B )
                        & ( p302 @ B ) )
                      | ( ( p502 @ B )
                        & ( p302 @ B ) )
                      | ( ( p402 @ B )
                        & ( p302 @ B ) )
                      | ( ( p1102 @ B )
                        & ( p202 @ B ) )
                      | ( ( p1002 @ B )
                        & ( p202 @ B ) )
                      | ( ( p902 @ B )
                        & ( p202 @ B ) )
                      | ( ( p802 @ B )
                        & ( p202 @ B ) )
                      | ( ( p702 @ B )
                        & ( p202 @ B ) )
                      | ( ( p602 @ B )
                        & ( p202 @ B ) )
                      | ( ( p502 @ B )
                        & ( p202 @ B ) )
                      | ( ( p402 @ B )
                        & ( p202 @ B ) )
                      | ( ( p302 @ B )
                        & ( p202 @ B ) )
                      | ( ( p1102 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p1002 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p902 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p802 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p702 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p602 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p502 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p402 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p302 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p202 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p1101 @ B )
                        & ( p1001 @ B ) )
                      | ( ( p1101 @ B )
                        & ( p901 @ B ) )
                      | ( ( p1001 @ B )
                        & ( p901 @ B ) )
                      | ( ( p1101 @ B )
                        & ( p801 @ B ) )
                      | ( ( p1001 @ B )
                        & ( p801 @ B ) )
                      | ( ( p901 @ B )
                        & ( p801 @ B ) )
                      | ( ( p1101 @ B )
                        & ( p701 @ B ) )
                      | ( ( p1001 @ B )
                        & ( p701 @ B ) )
                      | ( ( p901 @ B )
                        & ( p701 @ B ) )
                      | ( ( p801 @ B )
                        & ( p701 @ B ) )
                      | ( ( p1101 @ B )
                        & ( p601 @ B ) )
                      | ( ( p1001 @ B )
                        & ( p601 @ B ) )
                      | ( ( p901 @ B )
                        & ( p601 @ B ) )
                      | ( ( p801 @ B )
                        & ( p601 @ B ) )
                      | ( ( p701 @ B )
                        & ( p601 @ B ) )
                      | ( ( p1101 @ B )
                        & ( p501 @ B ) )
                      | ( ( p1001 @ B )
                        & ( p501 @ B ) )
                      | ( ( p901 @ B )
                        & ( p501 @ B ) )
                      | ( ( p801 @ B )
                        & ( p501 @ B ) )
                      | ( ( p701 @ B )
                        & ( p501 @ B ) )
                      | ( ( p601 @ B )
                        & ( p501 @ B ) )
                      | ( ( p1101 @ B )
                        & ( p401 @ B ) )
                      | ( ( p1001 @ B )
                        & ( p401 @ B ) )
                      | ( ( p901 @ B )
                        & ( p401 @ B ) )
                      | ( ( p801 @ B )
                        & ( p401 @ B ) )
                      | ( ( p701 @ B )
                        & ( p401 @ B ) )
                      | ( ( p601 @ B )
                        & ( p401 @ B ) )
                      | ( ( p501 @ B )
                        & ( p401 @ B ) )
                      | ( ( p1101 @ B )
                        & ( p301 @ B ) )
                      | ( ( p1001 @ B )
                        & ( p301 @ B ) )
                      | ( ( p901 @ B )
                        & ( p301 @ B ) )
                      | ( ( p801 @ B )
                        & ( p301 @ B ) )
                      | ( ( p701 @ B )
                        & ( p301 @ B ) )
                      | ( ( p601 @ B )
                        & ( p301 @ B ) )
                      | ( ( p501 @ B )
                        & ( p301 @ B ) )
                      | ( ( p401 @ B )
                        & ( p301 @ B ) )
                      | ( ( p1101 @ B )
                        & ( p201 @ B ) )
                      | ( ( p1001 @ B )
                        & ( p201 @ B ) )
                      | ( ( p901 @ B )
                        & ( p201 @ B ) )
                      | ( ( p801 @ B )
                        & ( p201 @ B ) )
                      | ( ( p701 @ B )
                        & ( p201 @ B ) )
                      | ( ( p601 @ B )
                        & ( p201 @ B ) )
                      | ( ( p501 @ B )
                        & ( p201 @ B ) )
                      | ( ( p401 @ B )
                        & ( p201 @ B ) )
                      | ( ( p301 @ B )
                        & ( p201 @ B ) )
                      | ( ( p1101 @ B )
                        & ( p101 @ B ) )
                      | ( ( p1001 @ B )
                        & ( p101 @ B ) )
                      | ( ( p901 @ B )
                        & ( p101 @ B ) )
                      | ( ( p801 @ B )
                        & ( p101 @ B ) )
                      | ( ( p701 @ B )
                        & ( p101 @ B ) )
                      | ( ( p601 @ B )
                        & ( p101 @ B ) )
                      | ( ( p501 @ B )
                        & ( p101 @ B ) )
                      | ( ( p401 @ B )
                        & ( p101 @ B ) )
                      | ( ( p301 @ B )
                        & ( p101 @ B ) )
                      | ( ( p201 @ B )
                        & ( p101 @ B ) ) ) )
            | ~ ( ( ( p1110 @ A )
                  | ( p1109 @ A )
                  | ( p1108 @ A )
                  | ( p1107 @ A )
                  | ( p1106 @ A )
                  | ( p1105 @ A )
                  | ( p1104 @ A )
                  | ( p1103 @ A )
                  | ( p1102 @ A )
                  | ( p1101 @ A ) )
                & ( ( p1010 @ A )
                  | ( p1009 @ A )
                  | ( p1008 @ A )
                  | ( p1007 @ A )
                  | ( p1006 @ A )
                  | ( p1005 @ A )
                  | ( p1004 @ A )
                  | ( p1003 @ A )
                  | ( p1002 @ A )
                  | ( p1001 @ A ) )
                & ( ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p910 @ B ) )
                  | ( p909 @ A )
                  | ( p908 @ A )
                  | ( p907 @ A )
                  | ( p906 @ A )
                  | ( p905 @ A )
                  | ( p904 @ A )
                  | ( p903 @ A )
                  | ( p902 @ A )
                  | ( p901 @ A ) )
                & ( ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p810 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p809 @ B ) )
                  | ( p808 @ A )
                  | ( p807 @ A )
                  | ( p806 @ A )
                  | ( p805 @ A )
                  | ( p804 @ A )
                  | ( p803 @ A )
                  | ( p802 @ A )
                  | ( p801 @ A ) )
                & ( ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p710 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p709 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p708 @ B ) )
                  | ( p707 @ A )
                  | ( p706 @ A )
                  | ( p705 @ A )
                  | ( p704 @ A )
                  | ( p703 @ A )
                  | ( p702 @ A )
                  | ( p701 @ A ) )
                & ( ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p610 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p609 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p608 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p607 @ B ) )
                  | ( p606 @ A )
                  | ( p605 @ A )
                  | ( p604 @ A )
                  | ( p603 @ A )
                  | ( p602 @ A )
                  | ( p601 @ A ) )
                & ( ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p510 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p509 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p508 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p507 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p506 @ B ) )
                  | ( p505 @ A )
                  | ( p504 @ A )
                  | ( p503 @ A )
                  | ( p502 @ A )
                  | ( p501 @ A ) )
                & ( ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p410 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p409 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p408 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p407 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p406 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p405 @ B ) )
                  | ( p404 @ A )
                  | ( p403 @ A )
                  | ( p402 @ A )
                  | ( p401 @ A ) )
                & ( ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p310 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p309 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p308 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p307 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p306 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p305 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p304 @ B ) )
                  | ( p303 @ A )
                  | ( p302 @ A )
                  | ( p301 @ A ) )
                & ( ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p210 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p209 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p208 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p207 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p206 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p205 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p204 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p203 @ B ) )
                  | ( p202 @ A )
                  | ( p201 @ A ) )
                & ( ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p110 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p109 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p108 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p107 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p106 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p105 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p104 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p103 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p102 @ B ) )
                  | ( p101 @ A ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(4,plain,
    ~ ~ ? [A: $i] :
          ~ ( ~ ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ~ ( ( ( p1110 @ B )
                        & ( p1010 @ B ) )
                      | ( ( p1110 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) ) )
                      | ( ( p1010 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) ) )
                      | ( ( p1110 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) ) )
                      | ( ( p1010 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) ) )
                      | ( ( p1110 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) ) )
                      | ( ( p1010 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) ) )
                      | ( ( p1110 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) ) )
                      | ( ( p1010 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) ) )
                      | ( ( p1110 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) ) )
                      | ( ( p1010 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) ) )
                      | ( ( p1110 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) ) )
                      | ( ( p1010 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) ) )
                      | ( ( p1110 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) ) )
                      | ( ( p1010 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) ) )
                      | ( ( p1110 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) ) )
                      | ( ( p1010 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) ) )
                      | ( ( p1110 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ( p1010 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p910 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p810 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p710 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p610 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p510 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p410 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p310 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p210 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p110 @ C ) ) )
                      | ( ( p1109 @ B )
                        & ( p1009 @ B ) )
                      | ( ( p1109 @ B )
                        & ( p909 @ B ) )
                      | ( ( p1009 @ B )
                        & ( p909 @ B ) )
                      | ( ( p1109 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) ) )
                      | ( ( p1009 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) ) )
                      | ( ( p909 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) ) )
                      | ( ( p1109 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) ) )
                      | ( ( p1009 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) ) )
                      | ( ( p909 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) ) )
                      | ( ( p1109 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) ) )
                      | ( ( p1009 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) ) )
                      | ( ( p909 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) ) )
                      | ( ( p1109 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) ) )
                      | ( ( p1009 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) ) )
                      | ( ( p909 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) ) )
                      | ( ( p1109 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) ) )
                      | ( ( p1009 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) ) )
                      | ( ( p909 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) ) )
                      | ( ( p1109 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) ) )
                      | ( ( p1009 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) ) )
                      | ( ( p909 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) ) )
                      | ( ( p1109 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) ) )
                      | ( ( p1009 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) ) )
                      | ( ( p909 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) ) )
                      | ( ( p1109 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ( p1009 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ( p909 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p809 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p709 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p609 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p509 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p409 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p309 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p209 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p109 @ C ) ) )
                      | ( ( p1108 @ B )
                        & ( p1008 @ B ) )
                      | ( ( p1108 @ B )
                        & ( p908 @ B ) )
                      | ( ( p1008 @ B )
                        & ( p908 @ B ) )
                      | ( ( p1108 @ B )
                        & ( p808 @ B ) )
                      | ( ( p1008 @ B )
                        & ( p808 @ B ) )
                      | ( ( p908 @ B )
                        & ( p808 @ B ) )
                      | ( ( p1108 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) ) )
                      | ( ( p1008 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) ) )
                      | ( ( p908 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) ) )
                      | ( ( p808 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) ) )
                      | ( ( p1108 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) ) )
                      | ( ( p1008 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) ) )
                      | ( ( p908 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) ) )
                      | ( ( p808 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) ) )
                      | ( ( p1108 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) ) )
                      | ( ( p1008 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) ) )
                      | ( ( p908 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) ) )
                      | ( ( p808 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) ) )
                      | ( ( p1108 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) ) )
                      | ( ( p1008 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) ) )
                      | ( ( p908 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) ) )
                      | ( ( p808 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) ) )
                      | ( ( p1108 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) ) )
                      | ( ( p1008 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) ) )
                      | ( ( p908 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) ) )
                      | ( ( p808 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) ) )
                      | ( ( p1108 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) ) )
                      | ( ( p1008 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) ) )
                      | ( ( p908 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) ) )
                      | ( ( p808 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) ) )
                      | ( ( p1108 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ( p1008 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ( p908 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ( p808 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p708 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p608 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p508 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p408 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p308 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p208 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p108 @ C ) ) )
                      | ( ( p1107 @ B )
                        & ( p1007 @ B ) )
                      | ( ( p1107 @ B )
                        & ( p907 @ B ) )
                      | ( ( p1007 @ B )
                        & ( p907 @ B ) )
                      | ( ( p1107 @ B )
                        & ( p807 @ B ) )
                      | ( ( p1007 @ B )
                        & ( p807 @ B ) )
                      | ( ( p907 @ B )
                        & ( p807 @ B ) )
                      | ( ( p1107 @ B )
                        & ( p707 @ B ) )
                      | ( ( p1007 @ B )
                        & ( p707 @ B ) )
                      | ( ( p907 @ B )
                        & ( p707 @ B ) )
                      | ( ( p807 @ B )
                        & ( p707 @ B ) )
                      | ( ( p1107 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) ) )
                      | ( ( p1007 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) ) )
                      | ( ( p907 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) ) )
                      | ( ( p807 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) ) )
                      | ( ( p707 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) ) )
                      | ( ( p1107 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) ) )
                      | ( ( p1007 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) ) )
                      | ( ( p907 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) ) )
                      | ( ( p807 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) ) )
                      | ( ( p707 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) ) )
                      | ( ( p1107 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) ) )
                      | ( ( p1007 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) ) )
                      | ( ( p907 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) ) )
                      | ( ( p807 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) ) )
                      | ( ( p707 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) ) )
                      | ( ( p1107 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) ) )
                      | ( ( p1007 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) ) )
                      | ( ( p907 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) ) )
                      | ( ( p807 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) ) )
                      | ( ( p707 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) ) )
                      | ( ( p1107 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) ) )
                      | ( ( p1007 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) ) )
                      | ( ( p907 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) ) )
                      | ( ( p807 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) ) )
                      | ( ( p707 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) ) )
                      | ( ( p1107 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ( p1007 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ( p907 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ( p807 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ( p707 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p607 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p507 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p407 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p307 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p207 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p107 @ C ) ) )
                      | ( ( p1106 @ B )
                        & ( p1006 @ B ) )
                      | ( ( p1106 @ B )
                        & ( p906 @ B ) )
                      | ( ( p1006 @ B )
                        & ( p906 @ B ) )
                      | ( ( p1106 @ B )
                        & ( p806 @ B ) )
                      | ( ( p1006 @ B )
                        & ( p806 @ B ) )
                      | ( ( p906 @ B )
                        & ( p806 @ B ) )
                      | ( ( p1106 @ B )
                        & ( p706 @ B ) )
                      | ( ( p1006 @ B )
                        & ( p706 @ B ) )
                      | ( ( p906 @ B )
                        & ( p706 @ B ) )
                      | ( ( p806 @ B )
                        & ( p706 @ B ) )
                      | ( ( p1106 @ B )
                        & ( p606 @ B ) )
                      | ( ( p1006 @ B )
                        & ( p606 @ B ) )
                      | ( ( p906 @ B )
                        & ( p606 @ B ) )
                      | ( ( p806 @ B )
                        & ( p606 @ B ) )
                      | ( ( p706 @ B )
                        & ( p606 @ B ) )
                      | ( ( p1106 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) ) )
                      | ( ( p1006 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) ) )
                      | ( ( p906 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) ) )
                      | ( ( p806 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) ) )
                      | ( ( p706 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) ) )
                      | ( ( p606 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) ) )
                      | ( ( p1106 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) ) )
                      | ( ( p1006 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) ) )
                      | ( ( p906 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) ) )
                      | ( ( p806 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) ) )
                      | ( ( p706 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) ) )
                      | ( ( p606 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) ) )
                      | ( ( p1106 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) ) )
                      | ( ( p1006 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) ) )
                      | ( ( p906 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) ) )
                      | ( ( p806 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) ) )
                      | ( ( p706 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) ) )
                      | ( ( p606 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) ) )
                      | ( ( p1106 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) ) )
                      | ( ( p1006 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) ) )
                      | ( ( p906 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) ) )
                      | ( ( p806 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) ) )
                      | ( ( p706 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) ) )
                      | ( ( p606 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) ) )
                      | ( ( p1106 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ( p1006 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ( p906 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ( p806 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ( p706 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ( p606 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p506 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p406 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p306 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p206 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p106 @ C ) ) )
                      | ( ( p1105 @ B )
                        & ( p1005 @ B ) )
                      | ( ( p1105 @ B )
                        & ( p905 @ B ) )
                      | ( ( p1005 @ B )
                        & ( p905 @ B ) )
                      | ( ( p1105 @ B )
                        & ( p805 @ B ) )
                      | ( ( p1005 @ B )
                        & ( p805 @ B ) )
                      | ( ( p905 @ B )
                        & ( p805 @ B ) )
                      | ( ( p1105 @ B )
                        & ( p705 @ B ) )
                      | ( ( p1005 @ B )
                        & ( p705 @ B ) )
                      | ( ( p905 @ B )
                        & ( p705 @ B ) )
                      | ( ( p805 @ B )
                        & ( p705 @ B ) )
                      | ( ( p1105 @ B )
                        & ( p605 @ B ) )
                      | ( ( p1005 @ B )
                        & ( p605 @ B ) )
                      | ( ( p905 @ B )
                        & ( p605 @ B ) )
                      | ( ( p805 @ B )
                        & ( p605 @ B ) )
                      | ( ( p705 @ B )
                        & ( p605 @ B ) )
                      | ( ( p1105 @ B )
                        & ( p505 @ B ) )
                      | ( ( p1005 @ B )
                        & ( p505 @ B ) )
                      | ( ( p905 @ B )
                        & ( p505 @ B ) )
                      | ( ( p805 @ B )
                        & ( p505 @ B ) )
                      | ( ( p705 @ B )
                        & ( p505 @ B ) )
                      | ( ( p605 @ B )
                        & ( p505 @ B ) )
                      | ( ( p1105 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) ) )
                      | ( ( p1005 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) ) )
                      | ( ( p905 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) ) )
                      | ( ( p805 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) ) )
                      | ( ( p705 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) ) )
                      | ( ( p605 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) ) )
                      | ( ( p505 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) ) )
                      | ( ( p1105 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) ) )
                      | ( ( p1005 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) ) )
                      | ( ( p905 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) ) )
                      | ( ( p805 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) ) )
                      | ( ( p705 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) ) )
                      | ( ( p605 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) ) )
                      | ( ( p505 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) ) )
                      | ( ( p1105 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) ) )
                      | ( ( p1005 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) ) )
                      | ( ( p905 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) ) )
                      | ( ( p805 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) ) )
                      | ( ( p705 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) ) )
                      | ( ( p605 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) ) )
                      | ( ( p505 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) ) )
                      | ( ( p1105 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ( p1005 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ( p905 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ( p805 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ( p705 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ( p605 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ( p505 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p405 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p305 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p205 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p105 @ C ) ) )
                      | ( ( p1104 @ B )
                        & ( p1004 @ B ) )
                      | ( ( p1104 @ B )
                        & ( p904 @ B ) )
                      | ( ( p1004 @ B )
                        & ( p904 @ B ) )
                      | ( ( p1104 @ B )
                        & ( p804 @ B ) )
                      | ( ( p1004 @ B )
                        & ( p804 @ B ) )
                      | ( ( p904 @ B )
                        & ( p804 @ B ) )
                      | ( ( p1104 @ B )
                        & ( p704 @ B ) )
                      | ( ( p1004 @ B )
                        & ( p704 @ B ) )
                      | ( ( p904 @ B )
                        & ( p704 @ B ) )
                      | ( ( p804 @ B )
                        & ( p704 @ B ) )
                      | ( ( p1104 @ B )
                        & ( p604 @ B ) )
                      | ( ( p1004 @ B )
                        & ( p604 @ B ) )
                      | ( ( p904 @ B )
                        & ( p604 @ B ) )
                      | ( ( p804 @ B )
                        & ( p604 @ B ) )
                      | ( ( p704 @ B )
                        & ( p604 @ B ) )
                      | ( ( p1104 @ B )
                        & ( p504 @ B ) )
                      | ( ( p1004 @ B )
                        & ( p504 @ B ) )
                      | ( ( p904 @ B )
                        & ( p504 @ B ) )
                      | ( ( p804 @ B )
                        & ( p504 @ B ) )
                      | ( ( p704 @ B )
                        & ( p504 @ B ) )
                      | ( ( p604 @ B )
                        & ( p504 @ B ) )
                      | ( ( p1104 @ B )
                        & ( p404 @ B ) )
                      | ( ( p1004 @ B )
                        & ( p404 @ B ) )
                      | ( ( p904 @ B )
                        & ( p404 @ B ) )
                      | ( ( p804 @ B )
                        & ( p404 @ B ) )
                      | ( ( p704 @ B )
                        & ( p404 @ B ) )
                      | ( ( p604 @ B )
                        & ( p404 @ B ) )
                      | ( ( p504 @ B )
                        & ( p404 @ B ) )
                      | ( ( p1104 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) ) )
                      | ( ( p1004 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) ) )
                      | ( ( p904 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) ) )
                      | ( ( p804 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) ) )
                      | ( ( p704 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) ) )
                      | ( ( p604 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) ) )
                      | ( ( p504 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) ) )
                      | ( ( p404 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) ) )
                      | ( ( p1104 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) ) )
                      | ( ( p1004 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) ) )
                      | ( ( p904 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) ) )
                      | ( ( p804 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) ) )
                      | ( ( p704 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) ) )
                      | ( ( p604 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) ) )
                      | ( ( p504 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) ) )
                      | ( ( p404 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) ) )
                      | ( ( p1104 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ( p1004 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ( p904 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ( p804 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ( p704 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ( p604 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ( p504 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ( p404 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p304 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p204 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p104 @ C ) ) )
                      | ( ( p1103 @ B )
                        & ( p1003 @ B ) )
                      | ( ( p1103 @ B )
                        & ( p903 @ B ) )
                      | ( ( p1003 @ B )
                        & ( p903 @ B ) )
                      | ( ( p1103 @ B )
                        & ( p803 @ B ) )
                      | ( ( p1003 @ B )
                        & ( p803 @ B ) )
                      | ( ( p903 @ B )
                        & ( p803 @ B ) )
                      | ( ( p1103 @ B )
                        & ( p703 @ B ) )
                      | ( ( p1003 @ B )
                        & ( p703 @ B ) )
                      | ( ( p903 @ B )
                        & ( p703 @ B ) )
                      | ( ( p803 @ B )
                        & ( p703 @ B ) )
                      | ( ( p1103 @ B )
                        & ( p603 @ B ) )
                      | ( ( p1003 @ B )
                        & ( p603 @ B ) )
                      | ( ( p903 @ B )
                        & ( p603 @ B ) )
                      | ( ( p803 @ B )
                        & ( p603 @ B ) )
                      | ( ( p703 @ B )
                        & ( p603 @ B ) )
                      | ( ( p1103 @ B )
                        & ( p503 @ B ) )
                      | ( ( p1003 @ B )
                        & ( p503 @ B ) )
                      | ( ( p903 @ B )
                        & ( p503 @ B ) )
                      | ( ( p803 @ B )
                        & ( p503 @ B ) )
                      | ( ( p703 @ B )
                        & ( p503 @ B ) )
                      | ( ( p603 @ B )
                        & ( p503 @ B ) )
                      | ( ( p1103 @ B )
                        & ( p403 @ B ) )
                      | ( ( p1003 @ B )
                        & ( p403 @ B ) )
                      | ( ( p903 @ B )
                        & ( p403 @ B ) )
                      | ( ( p803 @ B )
                        & ( p403 @ B ) )
                      | ( ( p703 @ B )
                        & ( p403 @ B ) )
                      | ( ( p603 @ B )
                        & ( p403 @ B ) )
                      | ( ( p503 @ B )
                        & ( p403 @ B ) )
                      | ( ( p1103 @ B )
                        & ( p303 @ B ) )
                      | ( ( p1003 @ B )
                        & ( p303 @ B ) )
                      | ( ( p903 @ B )
                        & ( p303 @ B ) )
                      | ( ( p803 @ B )
                        & ( p303 @ B ) )
                      | ( ( p703 @ B )
                        & ( p303 @ B ) )
                      | ( ( p603 @ B )
                        & ( p303 @ B ) )
                      | ( ( p503 @ B )
                        & ( p303 @ B ) )
                      | ( ( p403 @ B )
                        & ( p303 @ B ) )
                      | ( ( p1103 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) ) )
                      | ( ( p1003 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) ) )
                      | ( ( p903 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) ) )
                      | ( ( p803 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) ) )
                      | ( ( p703 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) ) )
                      | ( ( p603 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) ) )
                      | ( ( p503 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) ) )
                      | ( ( p403 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) ) )
                      | ( ( p303 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) ) )
                      | ( ( p1103 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ( p1003 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ( p903 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ( p803 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ( p703 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ( p603 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ( p503 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ( p403 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ( p303 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p203 @ C ) )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p103 @ C ) ) )
                      | ( ( p1102 @ B )
                        & ( p1002 @ B ) )
                      | ( ( p1102 @ B )
                        & ( p902 @ B ) )
                      | ( ( p1002 @ B )
                        & ( p902 @ B ) )
                      | ( ( p1102 @ B )
                        & ( p802 @ B ) )
                      | ( ( p1002 @ B )
                        & ( p802 @ B ) )
                      | ( ( p902 @ B )
                        & ( p802 @ B ) )
                      | ( ( p1102 @ B )
                        & ( p702 @ B ) )
                      | ( ( p1002 @ B )
                        & ( p702 @ B ) )
                      | ( ( p902 @ B )
                        & ( p702 @ B ) )
                      | ( ( p802 @ B )
                        & ( p702 @ B ) )
                      | ( ( p1102 @ B )
                        & ( p602 @ B ) )
                      | ( ( p1002 @ B )
                        & ( p602 @ B ) )
                      | ( ( p902 @ B )
                        & ( p602 @ B ) )
                      | ( ( p802 @ B )
                        & ( p602 @ B ) )
                      | ( ( p702 @ B )
                        & ( p602 @ B ) )
                      | ( ( p1102 @ B )
                        & ( p502 @ B ) )
                      | ( ( p1002 @ B )
                        & ( p502 @ B ) )
                      | ( ( p902 @ B )
                        & ( p502 @ B ) )
                      | ( ( p802 @ B )
                        & ( p502 @ B ) )
                      | ( ( p702 @ B )
                        & ( p502 @ B ) )
                      | ( ( p602 @ B )
                        & ( p502 @ B ) )
                      | ( ( p1102 @ B )
                        & ( p402 @ B ) )
                      | ( ( p1002 @ B )
                        & ( p402 @ B ) )
                      | ( ( p902 @ B )
                        & ( p402 @ B ) )
                      | ( ( p802 @ B )
                        & ( p402 @ B ) )
                      | ( ( p702 @ B )
                        & ( p402 @ B ) )
                      | ( ( p602 @ B )
                        & ( p402 @ B ) )
                      | ( ( p502 @ B )
                        & ( p402 @ B ) )
                      | ( ( p1102 @ B )
                        & ( p302 @ B ) )
                      | ( ( p1002 @ B )
                        & ( p302 @ B ) )
                      | ( ( p902 @ B )
                        & ( p302 @ B ) )
                      | ( ( p802 @ B )
                        & ( p302 @ B ) )
                      | ( ( p702 @ B )
                        & ( p302 @ B ) )
                      | ( ( p602 @ B )
                        & ( p302 @ B ) )
                      | ( ( p502 @ B )
                        & ( p302 @ B ) )
                      | ( ( p402 @ B )
                        & ( p302 @ B ) )
                      | ( ( p1102 @ B )
                        & ( p202 @ B ) )
                      | ( ( p1002 @ B )
                        & ( p202 @ B ) )
                      | ( ( p902 @ B )
                        & ( p202 @ B ) )
                      | ( ( p802 @ B )
                        & ( p202 @ B ) )
                      | ( ( p702 @ B )
                        & ( p202 @ B ) )
                      | ( ( p602 @ B )
                        & ( p202 @ B ) )
                      | ( ( p502 @ B )
                        & ( p202 @ B ) )
                      | ( ( p402 @ B )
                        & ( p202 @ B ) )
                      | ( ( p302 @ B )
                        & ( p202 @ B ) )
                      | ( ( p1102 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p1002 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p902 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p802 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p702 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p602 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p502 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p402 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p302 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p202 @ B )
                        & ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p102 @ C ) ) )
                      | ( ( p1101 @ B )
                        & ( p1001 @ B ) )
                      | ( ( p1101 @ B )
                        & ( p901 @ B ) )
                      | ( ( p1001 @ B )
                        & ( p901 @ B ) )
                      | ( ( p1101 @ B )
                        & ( p801 @ B ) )
                      | ( ( p1001 @ B )
                        & ( p801 @ B ) )
                      | ( ( p901 @ B )
                        & ( p801 @ B ) )
                      | ( ( p1101 @ B )
                        & ( p701 @ B ) )
                      | ( ( p1001 @ B )
                        & ( p701 @ B ) )
                      | ( ( p901 @ B )
                        & ( p701 @ B ) )
                      | ( ( p801 @ B )
                        & ( p701 @ B ) )
                      | ( ( p1101 @ B )
                        & ( p601 @ B ) )
                      | ( ( p1001 @ B )
                        & ( p601 @ B ) )
                      | ( ( p901 @ B )
                        & ( p601 @ B ) )
                      | ( ( p801 @ B )
                        & ( p601 @ B ) )
                      | ( ( p701 @ B )
                        & ( p601 @ B ) )
                      | ( ( p1101 @ B )
                        & ( p501 @ B ) )
                      | ( ( p1001 @ B )
                        & ( p501 @ B ) )
                      | ( ( p901 @ B )
                        & ( p501 @ B ) )
                      | ( ( p801 @ B )
                        & ( p501 @ B ) )
                      | ( ( p701 @ B )
                        & ( p501 @ B ) )
                      | ( ( p601 @ B )
                        & ( p501 @ B ) )
                      | ( ( p1101 @ B )
                        & ( p401 @ B ) )
                      | ( ( p1001 @ B )
                        & ( p401 @ B ) )
                      | ( ( p901 @ B )
                        & ( p401 @ B ) )
                      | ( ( p801 @ B )
                        & ( p401 @ B ) )
                      | ( ( p701 @ B )
                        & ( p401 @ B ) )
                      | ( ( p601 @ B )
                        & ( p401 @ B ) )
                      | ( ( p501 @ B )
                        & ( p401 @ B ) )
                      | ( ( p1101 @ B )
                        & ( p301 @ B ) )
                      | ( ( p1001 @ B )
                        & ( p301 @ B ) )
                      | ( ( p901 @ B )
                        & ( p301 @ B ) )
                      | ( ( p801 @ B )
                        & ( p301 @ B ) )
                      | ( ( p701 @ B )
                        & ( p301 @ B ) )
                      | ( ( p601 @ B )
                        & ( p301 @ B ) )
                      | ( ( p501 @ B )
                        & ( p301 @ B ) )
                      | ( ( p401 @ B )
                        & ( p301 @ B ) )
                      | ( ( p1101 @ B )
                        & ( p201 @ B ) )
                      | ( ( p1001 @ B )
                        & ( p201 @ B ) )
                      | ( ( p901 @ B )
                        & ( p201 @ B ) )
                      | ( ( p801 @ B )
                        & ( p201 @ B ) )
                      | ( ( p701 @ B )
                        & ( p201 @ B ) )
                      | ( ( p601 @ B )
                        & ( p201 @ B ) )
                      | ( ( p501 @ B )
                        & ( p201 @ B ) )
                      | ( ( p401 @ B )
                        & ( p201 @ B ) )
                      | ( ( p301 @ B )
                        & ( p201 @ B ) )
                      | ( ( p1101 @ B )
                        & ( p101 @ B ) )
                      | ( ( p1001 @ B )
                        & ( p101 @ B ) )
                      | ( ( p901 @ B )
                        & ( p101 @ B ) )
                      | ( ( p801 @ B )
                        & ( p101 @ B ) )
                      | ( ( p701 @ B )
                        & ( p101 @ B ) )
                      | ( ( p601 @ B )
                        & ( p101 @ B ) )
                      | ( ( p501 @ B )
                        & ( p101 @ B ) )
                      | ( ( p401 @ B )
                        & ( p101 @ B ) )
                      | ( ( p301 @ B )
                        & ( p101 @ B ) )
                      | ( ( p201 @ B )
                        & ( p101 @ B ) ) ) )
            | ~ ( ( ( p1110 @ A )
                  | ( p1109 @ A )
                  | ( p1108 @ A )
                  | ( p1107 @ A )
                  | ( p1106 @ A )
                  | ( p1105 @ A )
                  | ( p1104 @ A )
                  | ( p1103 @ A )
                  | ( p1102 @ A )
                  | ( p1101 @ A ) )
                & ( ( p1010 @ A )
                  | ( p1009 @ A )
                  | ( p1008 @ A )
                  | ( p1007 @ A )
                  | ( p1006 @ A )
                  | ( p1005 @ A )
                  | ( p1004 @ A )
                  | ( p1003 @ A )
                  | ( p1002 @ A )
                  | ( p1001 @ A ) )
                & ( ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p910 @ B ) )
                  | ( p909 @ A )
                  | ( p908 @ A )
                  | ( p907 @ A )
                  | ( p906 @ A )
                  | ( p905 @ A )
                  | ( p904 @ A )
                  | ( p903 @ A )
                  | ( p902 @ A )
                  | ( p901 @ A ) )
                & ( ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p810 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p809 @ B ) )
                  | ( p808 @ A )
                  | ( p807 @ A )
                  | ( p806 @ A )
                  | ( p805 @ A )
                  | ( p804 @ A )
                  | ( p803 @ A )
                  | ( p802 @ A )
                  | ( p801 @ A ) )
                & ( ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p710 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p709 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p708 @ B ) )
                  | ( p707 @ A )
                  | ( p706 @ A )
                  | ( p705 @ A )
                  | ( p704 @ A )
                  | ( p703 @ A )
                  | ( p702 @ A )
                  | ( p701 @ A ) )
                & ( ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p610 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p609 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p608 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p607 @ B ) )
                  | ( p606 @ A )
                  | ( p605 @ A )
                  | ( p604 @ A )
                  | ( p603 @ A )
                  | ( p602 @ A )
                  | ( p601 @ A ) )
                & ( ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p510 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p509 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p508 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p507 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p506 @ B ) )
                  | ( p505 @ A )
                  | ( p504 @ A )
                  | ( p503 @ A )
                  | ( p502 @ A )
                  | ( p501 @ A ) )
                & ( ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p410 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p409 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p408 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p407 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p406 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p405 @ B ) )
                  | ( p404 @ A )
                  | ( p403 @ A )
                  | ( p402 @ A )
                  | ( p401 @ A ) )
                & ( ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p310 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p309 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p308 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p307 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p306 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p305 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p304 @ B ) )
                  | ( p303 @ A )
                  | ( p302 @ A )
                  | ( p301 @ A ) )
                & ( ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p210 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p209 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p208 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p207 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p206 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p205 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p204 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p203 @ B ) )
                  | ( p202 @ A )
                  | ( p201 @ A ) )
                & ( ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p110 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p109 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p108 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p107 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p106 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p105 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p104 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p103 @ B ) )
                  | ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ( p102 @ B ) )
                  | ( p101 @ A ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(5,plain,
    ? [A: $i] :
      ~ ( ~ ! [B: $i] :
              ( ~ ( r1 @ A @ B )
              | ~ ( ( ( p1110 @ B )
                    & ( p1010 @ B ) )
                  | ( ( p1110 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) ) )
                  | ( ( p1010 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) ) )
                  | ( ( p1110 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) ) )
                  | ( ( p1010 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) ) )
                  | ( ( p1110 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) ) )
                  | ( ( p1010 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) ) )
                  | ( ( p1110 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) ) )
                  | ( ( p1010 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) ) )
                  | ( ( p1110 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) ) )
                  | ( ( p1010 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) ) )
                  | ( ( p1110 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) ) )
                  | ( ( p1010 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) ) )
                  | ( ( p1110 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) ) )
                  | ( ( p1010 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) ) )
                  | ( ( p1110 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) ) )
                  | ( ( p1010 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) ) )
                  | ( ( p1110 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ( p1010 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ( p1109 @ B )
                    & ( p1009 @ B ) )
                  | ( ( p1109 @ B )
                    & ( p909 @ B ) )
                  | ( ( p1009 @ B )
                    & ( p909 @ B ) )
                  | ( ( p1109 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) ) )
                  | ( ( p1009 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) ) )
                  | ( ( p909 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) ) )
                  | ( ( p1109 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) ) )
                  | ( ( p1009 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) ) )
                  | ( ( p909 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) ) )
                  | ( ( p1109 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) ) )
                  | ( ( p1009 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) ) )
                  | ( ( p909 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) ) )
                  | ( ( p1109 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) ) )
                  | ( ( p1009 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) ) )
                  | ( ( p909 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) ) )
                  | ( ( p1109 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) ) )
                  | ( ( p1009 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) ) )
                  | ( ( p909 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) ) )
                  | ( ( p1109 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) ) )
                  | ( ( p1009 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) ) )
                  | ( ( p909 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) ) )
                  | ( ( p1109 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) ) )
                  | ( ( p1009 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) ) )
                  | ( ( p909 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) ) )
                  | ( ( p1109 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ( p1009 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ( p909 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ( p1108 @ B )
                    & ( p1008 @ B ) )
                  | ( ( p1108 @ B )
                    & ( p908 @ B ) )
                  | ( ( p1008 @ B )
                    & ( p908 @ B ) )
                  | ( ( p1108 @ B )
                    & ( p808 @ B ) )
                  | ( ( p1008 @ B )
                    & ( p808 @ B ) )
                  | ( ( p908 @ B )
                    & ( p808 @ B ) )
                  | ( ( p1108 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) ) )
                  | ( ( p1008 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) ) )
                  | ( ( p908 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) ) )
                  | ( ( p808 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) ) )
                  | ( ( p1108 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) ) )
                  | ( ( p1008 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) ) )
                  | ( ( p908 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) ) )
                  | ( ( p808 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) ) )
                  | ( ( p1108 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) ) )
                  | ( ( p1008 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) ) )
                  | ( ( p908 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) ) )
                  | ( ( p808 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) ) )
                  | ( ( p1108 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) ) )
                  | ( ( p1008 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) ) )
                  | ( ( p908 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) ) )
                  | ( ( p808 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) ) )
                  | ( ( p1108 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) ) )
                  | ( ( p1008 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) ) )
                  | ( ( p908 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) ) )
                  | ( ( p808 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) ) )
                  | ( ( p1108 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) ) )
                  | ( ( p1008 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) ) )
                  | ( ( p908 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) ) )
                  | ( ( p808 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) ) )
                  | ( ( p1108 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ( p1008 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ( p908 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ( p808 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ( p1107 @ B )
                    & ( p1007 @ B ) )
                  | ( ( p1107 @ B )
                    & ( p907 @ B ) )
                  | ( ( p1007 @ B )
                    & ( p907 @ B ) )
                  | ( ( p1107 @ B )
                    & ( p807 @ B ) )
                  | ( ( p1007 @ B )
                    & ( p807 @ B ) )
                  | ( ( p907 @ B )
                    & ( p807 @ B ) )
                  | ( ( p1107 @ B )
                    & ( p707 @ B ) )
                  | ( ( p1007 @ B )
                    & ( p707 @ B ) )
                  | ( ( p907 @ B )
                    & ( p707 @ B ) )
                  | ( ( p807 @ B )
                    & ( p707 @ B ) )
                  | ( ( p1107 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) ) )
                  | ( ( p1007 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) ) )
                  | ( ( p907 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) ) )
                  | ( ( p807 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) ) )
                  | ( ( p707 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) ) )
                  | ( ( p1107 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) ) )
                  | ( ( p1007 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) ) )
                  | ( ( p907 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) ) )
                  | ( ( p807 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) ) )
                  | ( ( p707 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) ) )
                  | ( ( p1107 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) ) )
                  | ( ( p1007 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) ) )
                  | ( ( p907 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) ) )
                  | ( ( p807 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) ) )
                  | ( ( p707 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) ) )
                  | ( ( p1107 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) ) )
                  | ( ( p1007 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) ) )
                  | ( ( p907 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) ) )
                  | ( ( p807 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) ) )
                  | ( ( p707 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) ) )
                  | ( ( p1107 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) ) )
                  | ( ( p1007 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) ) )
                  | ( ( p907 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) ) )
                  | ( ( p807 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) ) )
                  | ( ( p707 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) ) )
                  | ( ( p1107 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ( p1007 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ( p907 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ( p807 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ( p707 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ( p1106 @ B )
                    & ( p1006 @ B ) )
                  | ( ( p1106 @ B )
                    & ( p906 @ B ) )
                  | ( ( p1006 @ B )
                    & ( p906 @ B ) )
                  | ( ( p1106 @ B )
                    & ( p806 @ B ) )
                  | ( ( p1006 @ B )
                    & ( p806 @ B ) )
                  | ( ( p906 @ B )
                    & ( p806 @ B ) )
                  | ( ( p1106 @ B )
                    & ( p706 @ B ) )
                  | ( ( p1006 @ B )
                    & ( p706 @ B ) )
                  | ( ( p906 @ B )
                    & ( p706 @ B ) )
                  | ( ( p806 @ B )
                    & ( p706 @ B ) )
                  | ( ( p1106 @ B )
                    & ( p606 @ B ) )
                  | ( ( p1006 @ B )
                    & ( p606 @ B ) )
                  | ( ( p906 @ B )
                    & ( p606 @ B ) )
                  | ( ( p806 @ B )
                    & ( p606 @ B ) )
                  | ( ( p706 @ B )
                    & ( p606 @ B ) )
                  | ( ( p1106 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) ) )
                  | ( ( p1006 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) ) )
                  | ( ( p906 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) ) )
                  | ( ( p806 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) ) )
                  | ( ( p706 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) ) )
                  | ( ( p606 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) ) )
                  | ( ( p1106 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) ) )
                  | ( ( p1006 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) ) )
                  | ( ( p906 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) ) )
                  | ( ( p806 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) ) )
                  | ( ( p706 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) ) )
                  | ( ( p606 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) ) )
                  | ( ( p1106 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) ) )
                  | ( ( p1006 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) ) )
                  | ( ( p906 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) ) )
                  | ( ( p806 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) ) )
                  | ( ( p706 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) ) )
                  | ( ( p606 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) ) )
                  | ( ( p1106 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) ) )
                  | ( ( p1006 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) ) )
                  | ( ( p906 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) ) )
                  | ( ( p806 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) ) )
                  | ( ( p706 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) ) )
                  | ( ( p606 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) ) )
                  | ( ( p1106 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ( p1006 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ( p906 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ( p806 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ( p706 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ( p606 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ( p1105 @ B )
                    & ( p1005 @ B ) )
                  | ( ( p1105 @ B )
                    & ( p905 @ B ) )
                  | ( ( p1005 @ B )
                    & ( p905 @ B ) )
                  | ( ( p1105 @ B )
                    & ( p805 @ B ) )
                  | ( ( p1005 @ B )
                    & ( p805 @ B ) )
                  | ( ( p905 @ B )
                    & ( p805 @ B ) )
                  | ( ( p1105 @ B )
                    & ( p705 @ B ) )
                  | ( ( p1005 @ B )
                    & ( p705 @ B ) )
                  | ( ( p905 @ B )
                    & ( p705 @ B ) )
                  | ( ( p805 @ B )
                    & ( p705 @ B ) )
                  | ( ( p1105 @ B )
                    & ( p605 @ B ) )
                  | ( ( p1005 @ B )
                    & ( p605 @ B ) )
                  | ( ( p905 @ B )
                    & ( p605 @ B ) )
                  | ( ( p805 @ B )
                    & ( p605 @ B ) )
                  | ( ( p705 @ B )
                    & ( p605 @ B ) )
                  | ( ( p1105 @ B )
                    & ( p505 @ B ) )
                  | ( ( p1005 @ B )
                    & ( p505 @ B ) )
                  | ( ( p905 @ B )
                    & ( p505 @ B ) )
                  | ( ( p805 @ B )
                    & ( p505 @ B ) )
                  | ( ( p705 @ B )
                    & ( p505 @ B ) )
                  | ( ( p605 @ B )
                    & ( p505 @ B ) )
                  | ( ( p1105 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) ) )
                  | ( ( p1005 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) ) )
                  | ( ( p905 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) ) )
                  | ( ( p805 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) ) )
                  | ( ( p705 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) ) )
                  | ( ( p605 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) ) )
                  | ( ( p505 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) ) )
                  | ( ( p1105 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) ) )
                  | ( ( p1005 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) ) )
                  | ( ( p905 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) ) )
                  | ( ( p805 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) ) )
                  | ( ( p705 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) ) )
                  | ( ( p605 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) ) )
                  | ( ( p505 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) ) )
                  | ( ( p1105 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) ) )
                  | ( ( p1005 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) ) )
                  | ( ( p905 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) ) )
                  | ( ( p805 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) ) )
                  | ( ( p705 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) ) )
                  | ( ( p605 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) ) )
                  | ( ( p505 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) ) )
                  | ( ( p1105 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ( p1005 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ( p905 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ( p805 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ( p705 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ( p605 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ( p505 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ( p1104 @ B )
                    & ( p1004 @ B ) )
                  | ( ( p1104 @ B )
                    & ( p904 @ B ) )
                  | ( ( p1004 @ B )
                    & ( p904 @ B ) )
                  | ( ( p1104 @ B )
                    & ( p804 @ B ) )
                  | ( ( p1004 @ B )
                    & ( p804 @ B ) )
                  | ( ( p904 @ B )
                    & ( p804 @ B ) )
                  | ( ( p1104 @ B )
                    & ( p704 @ B ) )
                  | ( ( p1004 @ B )
                    & ( p704 @ B ) )
                  | ( ( p904 @ B )
                    & ( p704 @ B ) )
                  | ( ( p804 @ B )
                    & ( p704 @ B ) )
                  | ( ( p1104 @ B )
                    & ( p604 @ B ) )
                  | ( ( p1004 @ B )
                    & ( p604 @ B ) )
                  | ( ( p904 @ B )
                    & ( p604 @ B ) )
                  | ( ( p804 @ B )
                    & ( p604 @ B ) )
                  | ( ( p704 @ B )
                    & ( p604 @ B ) )
                  | ( ( p1104 @ B )
                    & ( p504 @ B ) )
                  | ( ( p1004 @ B )
                    & ( p504 @ B ) )
                  | ( ( p904 @ B )
                    & ( p504 @ B ) )
                  | ( ( p804 @ B )
                    & ( p504 @ B ) )
                  | ( ( p704 @ B )
                    & ( p504 @ B ) )
                  | ( ( p604 @ B )
                    & ( p504 @ B ) )
                  | ( ( p1104 @ B )
                    & ( p404 @ B ) )
                  | ( ( p1004 @ B )
                    & ( p404 @ B ) )
                  | ( ( p904 @ B )
                    & ( p404 @ B ) )
                  | ( ( p804 @ B )
                    & ( p404 @ B ) )
                  | ( ( p704 @ B )
                    & ( p404 @ B ) )
                  | ( ( p604 @ B )
                    & ( p404 @ B ) )
                  | ( ( p504 @ B )
                    & ( p404 @ B ) )
                  | ( ( p1104 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) ) )
                  | ( ( p1004 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) ) )
                  | ( ( p904 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) ) )
                  | ( ( p804 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) ) )
                  | ( ( p704 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) ) )
                  | ( ( p604 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) ) )
                  | ( ( p504 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) ) )
                  | ( ( p404 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) ) )
                  | ( ( p1104 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) ) )
                  | ( ( p1004 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) ) )
                  | ( ( p904 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) ) )
                  | ( ( p804 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) ) )
                  | ( ( p704 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) ) )
                  | ( ( p604 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) ) )
                  | ( ( p504 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) ) )
                  | ( ( p404 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) ) )
                  | ( ( p1104 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ( p1004 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ( p904 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ( p804 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ( p704 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ( p604 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ( p504 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ( p404 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ( p1103 @ B )
                    & ( p1003 @ B ) )
                  | ( ( p1103 @ B )
                    & ( p903 @ B ) )
                  | ( ( p1003 @ B )
                    & ( p903 @ B ) )
                  | ( ( p1103 @ B )
                    & ( p803 @ B ) )
                  | ( ( p1003 @ B )
                    & ( p803 @ B ) )
                  | ( ( p903 @ B )
                    & ( p803 @ B ) )
                  | ( ( p1103 @ B )
                    & ( p703 @ B ) )
                  | ( ( p1003 @ B )
                    & ( p703 @ B ) )
                  | ( ( p903 @ B )
                    & ( p703 @ B ) )
                  | ( ( p803 @ B )
                    & ( p703 @ B ) )
                  | ( ( p1103 @ B )
                    & ( p603 @ B ) )
                  | ( ( p1003 @ B )
                    & ( p603 @ B ) )
                  | ( ( p903 @ B )
                    & ( p603 @ B ) )
                  | ( ( p803 @ B )
                    & ( p603 @ B ) )
                  | ( ( p703 @ B )
                    & ( p603 @ B ) )
                  | ( ( p1103 @ B )
                    & ( p503 @ B ) )
                  | ( ( p1003 @ B )
                    & ( p503 @ B ) )
                  | ( ( p903 @ B )
                    & ( p503 @ B ) )
                  | ( ( p803 @ B )
                    & ( p503 @ B ) )
                  | ( ( p703 @ B )
                    & ( p503 @ B ) )
                  | ( ( p603 @ B )
                    & ( p503 @ B ) )
                  | ( ( p1103 @ B )
                    & ( p403 @ B ) )
                  | ( ( p1003 @ B )
                    & ( p403 @ B ) )
                  | ( ( p903 @ B )
                    & ( p403 @ B ) )
                  | ( ( p803 @ B )
                    & ( p403 @ B ) )
                  | ( ( p703 @ B )
                    & ( p403 @ B ) )
                  | ( ( p603 @ B )
                    & ( p403 @ B ) )
                  | ( ( p503 @ B )
                    & ( p403 @ B ) )
                  | ( ( p1103 @ B )
                    & ( p303 @ B ) )
                  | ( ( p1003 @ B )
                    & ( p303 @ B ) )
                  | ( ( p903 @ B )
                    & ( p303 @ B ) )
                  | ( ( p803 @ B )
                    & ( p303 @ B ) )
                  | ( ( p703 @ B )
                    & ( p303 @ B ) )
                  | ( ( p603 @ B )
                    & ( p303 @ B ) )
                  | ( ( p503 @ B )
                    & ( p303 @ B ) )
                  | ( ( p403 @ B )
                    & ( p303 @ B ) )
                  | ( ( p1103 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) ) )
                  | ( ( p1003 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) ) )
                  | ( ( p903 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) ) )
                  | ( ( p803 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) ) )
                  | ( ( p703 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) ) )
                  | ( ( p603 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) ) )
                  | ( ( p503 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) ) )
                  | ( ( p403 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) ) )
                  | ( ( p303 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) ) )
                  | ( ( p1103 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ( p1003 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ( p903 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ( p803 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ( p703 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ( p603 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ( p503 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ( p403 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ( p303 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ( p1102 @ B )
                    & ( p1002 @ B ) )
                  | ( ( p1102 @ B )
                    & ( p902 @ B ) )
                  | ( ( p1002 @ B )
                    & ( p902 @ B ) )
                  | ( ( p1102 @ B )
                    & ( p802 @ B ) )
                  | ( ( p1002 @ B )
                    & ( p802 @ B ) )
                  | ( ( p902 @ B )
                    & ( p802 @ B ) )
                  | ( ( p1102 @ B )
                    & ( p702 @ B ) )
                  | ( ( p1002 @ B )
                    & ( p702 @ B ) )
                  | ( ( p902 @ B )
                    & ( p702 @ B ) )
                  | ( ( p802 @ B )
                    & ( p702 @ B ) )
                  | ( ( p1102 @ B )
                    & ( p602 @ B ) )
                  | ( ( p1002 @ B )
                    & ( p602 @ B ) )
                  | ( ( p902 @ B )
                    & ( p602 @ B ) )
                  | ( ( p802 @ B )
                    & ( p602 @ B ) )
                  | ( ( p702 @ B )
                    & ( p602 @ B ) )
                  | ( ( p1102 @ B )
                    & ( p502 @ B ) )
                  | ( ( p1002 @ B )
                    & ( p502 @ B ) )
                  | ( ( p902 @ B )
                    & ( p502 @ B ) )
                  | ( ( p802 @ B )
                    & ( p502 @ B ) )
                  | ( ( p702 @ B )
                    & ( p502 @ B ) )
                  | ( ( p602 @ B )
                    & ( p502 @ B ) )
                  | ( ( p1102 @ B )
                    & ( p402 @ B ) )
                  | ( ( p1002 @ B )
                    & ( p402 @ B ) )
                  | ( ( p902 @ B )
                    & ( p402 @ B ) )
                  | ( ( p802 @ B )
                    & ( p402 @ B ) )
                  | ( ( p702 @ B )
                    & ( p402 @ B ) )
                  | ( ( p602 @ B )
                    & ( p402 @ B ) )
                  | ( ( p502 @ B )
                    & ( p402 @ B ) )
                  | ( ( p1102 @ B )
                    & ( p302 @ B ) )
                  | ( ( p1002 @ B )
                    & ( p302 @ B ) )
                  | ( ( p902 @ B )
                    & ( p302 @ B ) )
                  | ( ( p802 @ B )
                    & ( p302 @ B ) )
                  | ( ( p702 @ B )
                    & ( p302 @ B ) )
                  | ( ( p602 @ B )
                    & ( p302 @ B ) )
                  | ( ( p502 @ B )
                    & ( p302 @ B ) )
                  | ( ( p402 @ B )
                    & ( p302 @ B ) )
                  | ( ( p1102 @ B )
                    & ( p202 @ B ) )
                  | ( ( p1002 @ B )
                    & ( p202 @ B ) )
                  | ( ( p902 @ B )
                    & ( p202 @ B ) )
                  | ( ( p802 @ B )
                    & ( p202 @ B ) )
                  | ( ( p702 @ B )
                    & ( p202 @ B ) )
                  | ( ( p602 @ B )
                    & ( p202 @ B ) )
                  | ( ( p502 @ B )
                    & ( p202 @ B ) )
                  | ( ( p402 @ B )
                    & ( p202 @ B ) )
                  | ( ( p302 @ B )
                    & ( p202 @ B ) )
                  | ( ( p1102 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p1002 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p902 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p802 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p702 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p602 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p502 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p402 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p302 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p202 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p1101 @ B )
                    & ( p1001 @ B ) )
                  | ( ( p1101 @ B )
                    & ( p901 @ B ) )
                  | ( ( p1001 @ B )
                    & ( p901 @ B ) )
                  | ( ( p1101 @ B )
                    & ( p801 @ B ) )
                  | ( ( p1001 @ B )
                    & ( p801 @ B ) )
                  | ( ( p901 @ B )
                    & ( p801 @ B ) )
                  | ( ( p1101 @ B )
                    & ( p701 @ B ) )
                  | ( ( p1001 @ B )
                    & ( p701 @ B ) )
                  | ( ( p901 @ B )
                    & ( p701 @ B ) )
                  | ( ( p801 @ B )
                    & ( p701 @ B ) )
                  | ( ( p1101 @ B )
                    & ( p601 @ B ) )
                  | ( ( p1001 @ B )
                    & ( p601 @ B ) )
                  | ( ( p901 @ B )
                    & ( p601 @ B ) )
                  | ( ( p801 @ B )
                    & ( p601 @ B ) )
                  | ( ( p701 @ B )
                    & ( p601 @ B ) )
                  | ( ( p1101 @ B )
                    & ( p501 @ B ) )
                  | ( ( p1001 @ B )
                    & ( p501 @ B ) )
                  | ( ( p901 @ B )
                    & ( p501 @ B ) )
                  | ( ( p801 @ B )
                    & ( p501 @ B ) )
                  | ( ( p701 @ B )
                    & ( p501 @ B ) )
                  | ( ( p601 @ B )
                    & ( p501 @ B ) )
                  | ( ( p1101 @ B )
                    & ( p401 @ B ) )
                  | ( ( p1001 @ B )
                    & ( p401 @ B ) )
                  | ( ( p901 @ B )
                    & ( p401 @ B ) )
                  | ( ( p801 @ B )
                    & ( p401 @ B ) )
                  | ( ( p701 @ B )
                    & ( p401 @ B ) )
                  | ( ( p601 @ B )
                    & ( p401 @ B ) )
                  | ( ( p501 @ B )
                    & ( p401 @ B ) )
                  | ( ( p1101 @ B )
                    & ( p301 @ B ) )
                  | ( ( p1001 @ B )
                    & ( p301 @ B ) )
                  | ( ( p901 @ B )
                    & ( p301 @ B ) )
                  | ( ( p801 @ B )
                    & ( p301 @ B ) )
                  | ( ( p701 @ B )
                    & ( p301 @ B ) )
                  | ( ( p601 @ B )
                    & ( p301 @ B ) )
                  | ( ( p501 @ B )
                    & ( p301 @ B ) )
                  | ( ( p401 @ B )
                    & ( p301 @ B ) )
                  | ( ( p1101 @ B )
                    & ( p201 @ B ) )
                  | ( ( p1001 @ B )
                    & ( p201 @ B ) )
                  | ( ( p901 @ B )
                    & ( p201 @ B ) )
                  | ( ( p801 @ B )
                    & ( p201 @ B ) )
                  | ( ( p701 @ B )
                    & ( p201 @ B ) )
                  | ( ( p601 @ B )
                    & ( p201 @ B ) )
                  | ( ( p501 @ B )
                    & ( p201 @ B ) )
                  | ( ( p401 @ B )
                    & ( p201 @ B ) )
                  | ( ( p301 @ B )
                    & ( p201 @ B ) )
                  | ( ( p1101 @ B )
                    & ( p101 @ B ) )
                  | ( ( p1001 @ B )
                    & ( p101 @ B ) )
                  | ( ( p901 @ B )
                    & ( p101 @ B ) )
                  | ( ( p801 @ B )
                    & ( p101 @ B ) )
                  | ( ( p701 @ B )
                    & ( p101 @ B ) )
                  | ( ( p601 @ B )
                    & ( p101 @ B ) )
                  | ( ( p501 @ B )
                    & ( p101 @ B ) )
                  | ( ( p401 @ B )
                    & ( p101 @ B ) )
                  | ( ( p301 @ B )
                    & ( p101 @ B ) )
                  | ( ( p201 @ B )
                    & ( p101 @ B ) ) ) )
        | ~ ( ( ( p1110 @ A )
              | ( p1109 @ A )
              | ( p1108 @ A )
              | ( p1107 @ A )
              | ( p1106 @ A )
              | ( p1105 @ A )
              | ( p1104 @ A )
              | ( p1103 @ A )
              | ( p1102 @ A )
              | ( p1101 @ A ) )
            & ( ( p1010 @ A )
              | ( p1009 @ A )
              | ( p1008 @ A )
              | ( p1007 @ A )
              | ( p1006 @ A )
              | ( p1005 @ A )
              | ( p1004 @ A )
              | ( p1003 @ A )
              | ( p1002 @ A )
              | ( p1001 @ A ) )
            & ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p910 @ B ) )
              | ( p909 @ A )
              | ( p908 @ A )
              | ( p907 @ A )
              | ( p906 @ A )
              | ( p905 @ A )
              | ( p904 @ A )
              | ( p903 @ A )
              | ( p902 @ A )
              | ( p901 @ A ) )
            & ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p810 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p809 @ B ) )
              | ( p808 @ A )
              | ( p807 @ A )
              | ( p806 @ A )
              | ( p805 @ A )
              | ( p804 @ A )
              | ( p803 @ A )
              | ( p802 @ A )
              | ( p801 @ A ) )
            & ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p710 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p709 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p708 @ B ) )
              | ( p707 @ A )
              | ( p706 @ A )
              | ( p705 @ A )
              | ( p704 @ A )
              | ( p703 @ A )
              | ( p702 @ A )
              | ( p701 @ A ) )
            & ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p610 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p609 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p608 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p607 @ B ) )
              | ( p606 @ A )
              | ( p605 @ A )
              | ( p604 @ A )
              | ( p603 @ A )
              | ( p602 @ A )
              | ( p601 @ A ) )
            & ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p510 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p509 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p508 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p507 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p506 @ B ) )
              | ( p505 @ A )
              | ( p504 @ A )
              | ( p503 @ A )
              | ( p502 @ A )
              | ( p501 @ A ) )
            & ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p410 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p409 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p408 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p407 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p406 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p405 @ B ) )
              | ( p404 @ A )
              | ( p403 @ A )
              | ( p402 @ A )
              | ( p401 @ A ) )
            & ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p310 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p309 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p308 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p307 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p306 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p305 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p304 @ B ) )
              | ( p303 @ A )
              | ( p302 @ A )
              | ( p301 @ A ) )
            & ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p210 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p209 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p208 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p207 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p206 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p205 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p204 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p203 @ B ) )
              | ( p202 @ A )
              | ( p201 @ A ) )
            & ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p110 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p109 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p108 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p107 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p106 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p105 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p104 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p103 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p102 @ B ) )
              | ( p101 @ A ) ) ) ),
    inference(polarity_switch,[status(thm)],[4]) ).

thf(6,plain,
    ~ ! [A: $i] :
        ( ~ ! [B: $i] :
              ( ~ ( r1 @ A @ B )
              | ~ ( ( ( p1110 @ B )
                    & ( p1010 @ B ) )
                  | ( ( p1110 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) ) )
                  | ( ( p1010 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) ) )
                  | ( ( p1110 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) ) )
                  | ( ( p1010 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) ) )
                  | ( ( p1110 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) ) )
                  | ( ( p1010 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) ) )
                  | ( ( p1110 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) ) )
                  | ( ( p1010 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) ) )
                  | ( ( p1110 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) ) )
                  | ( ( p1010 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) ) )
                  | ( ( p1110 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) ) )
                  | ( ( p1010 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) ) )
                  | ( ( p1110 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) ) )
                  | ( ( p1010 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) ) )
                  | ( ( p1110 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) ) )
                  | ( ( p1010 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) ) )
                  | ( ( p1110 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ( p1010 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p910 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p810 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p710 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p610 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p510 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p410 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p310 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p210 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p110 @ C ) ) )
                  | ( ( p1109 @ B )
                    & ( p1009 @ B ) )
                  | ( ( p1109 @ B )
                    & ( p909 @ B ) )
                  | ( ( p1009 @ B )
                    & ( p909 @ B ) )
                  | ( ( p1109 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) ) )
                  | ( ( p1009 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) ) )
                  | ( ( p909 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) ) )
                  | ( ( p1109 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) ) )
                  | ( ( p1009 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) ) )
                  | ( ( p909 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) ) )
                  | ( ( p1109 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) ) )
                  | ( ( p1009 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) ) )
                  | ( ( p909 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) ) )
                  | ( ( p1109 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) ) )
                  | ( ( p1009 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) ) )
                  | ( ( p909 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) ) )
                  | ( ( p1109 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) ) )
                  | ( ( p1009 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) ) )
                  | ( ( p909 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) ) )
                  | ( ( p1109 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) ) )
                  | ( ( p1009 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) ) )
                  | ( ( p909 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) ) )
                  | ( ( p1109 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) ) )
                  | ( ( p1009 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) ) )
                  | ( ( p909 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) ) )
                  | ( ( p1109 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ( p1009 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ( p909 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p809 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p709 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p609 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p509 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p409 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p309 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p209 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p109 @ C ) ) )
                  | ( ( p1108 @ B )
                    & ( p1008 @ B ) )
                  | ( ( p1108 @ B )
                    & ( p908 @ B ) )
                  | ( ( p1008 @ B )
                    & ( p908 @ B ) )
                  | ( ( p1108 @ B )
                    & ( p808 @ B ) )
                  | ( ( p1008 @ B )
                    & ( p808 @ B ) )
                  | ( ( p908 @ B )
                    & ( p808 @ B ) )
                  | ( ( p1108 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) ) )
                  | ( ( p1008 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) ) )
                  | ( ( p908 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) ) )
                  | ( ( p808 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) ) )
                  | ( ( p1108 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) ) )
                  | ( ( p1008 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) ) )
                  | ( ( p908 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) ) )
                  | ( ( p808 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) ) )
                  | ( ( p1108 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) ) )
                  | ( ( p1008 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) ) )
                  | ( ( p908 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) ) )
                  | ( ( p808 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) ) )
                  | ( ( p1108 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) ) )
                  | ( ( p1008 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) ) )
                  | ( ( p908 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) ) )
                  | ( ( p808 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) ) )
                  | ( ( p1108 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) ) )
                  | ( ( p1008 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) ) )
                  | ( ( p908 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) ) )
                  | ( ( p808 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) ) )
                  | ( ( p1108 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) ) )
                  | ( ( p1008 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) ) )
                  | ( ( p908 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) ) )
                  | ( ( p808 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) ) )
                  | ( ( p1108 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ( p1008 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ( p908 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ( p808 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p708 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p608 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p508 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p408 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p308 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p208 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p108 @ C ) ) )
                  | ( ( p1107 @ B )
                    & ( p1007 @ B ) )
                  | ( ( p1107 @ B )
                    & ( p907 @ B ) )
                  | ( ( p1007 @ B )
                    & ( p907 @ B ) )
                  | ( ( p1107 @ B )
                    & ( p807 @ B ) )
                  | ( ( p1007 @ B )
                    & ( p807 @ B ) )
                  | ( ( p907 @ B )
                    & ( p807 @ B ) )
                  | ( ( p1107 @ B )
                    & ( p707 @ B ) )
                  | ( ( p1007 @ B )
                    & ( p707 @ B ) )
                  | ( ( p907 @ B )
                    & ( p707 @ B ) )
                  | ( ( p807 @ B )
                    & ( p707 @ B ) )
                  | ( ( p1107 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) ) )
                  | ( ( p1007 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) ) )
                  | ( ( p907 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) ) )
                  | ( ( p807 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) ) )
                  | ( ( p707 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) ) )
                  | ( ( p1107 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) ) )
                  | ( ( p1007 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) ) )
                  | ( ( p907 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) ) )
                  | ( ( p807 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) ) )
                  | ( ( p707 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) ) )
                  | ( ( p1107 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) ) )
                  | ( ( p1007 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) ) )
                  | ( ( p907 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) ) )
                  | ( ( p807 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) ) )
                  | ( ( p707 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) ) )
                  | ( ( p1107 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) ) )
                  | ( ( p1007 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) ) )
                  | ( ( p907 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) ) )
                  | ( ( p807 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) ) )
                  | ( ( p707 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) ) )
                  | ( ( p1107 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) ) )
                  | ( ( p1007 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) ) )
                  | ( ( p907 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) ) )
                  | ( ( p807 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) ) )
                  | ( ( p707 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) ) )
                  | ( ( p1107 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ( p1007 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ( p907 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ( p807 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ( p707 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p607 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p507 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p407 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p307 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p207 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p107 @ C ) ) )
                  | ( ( p1106 @ B )
                    & ( p1006 @ B ) )
                  | ( ( p1106 @ B )
                    & ( p906 @ B ) )
                  | ( ( p1006 @ B )
                    & ( p906 @ B ) )
                  | ( ( p1106 @ B )
                    & ( p806 @ B ) )
                  | ( ( p1006 @ B )
                    & ( p806 @ B ) )
                  | ( ( p906 @ B )
                    & ( p806 @ B ) )
                  | ( ( p1106 @ B )
                    & ( p706 @ B ) )
                  | ( ( p1006 @ B )
                    & ( p706 @ B ) )
                  | ( ( p906 @ B )
                    & ( p706 @ B ) )
                  | ( ( p806 @ B )
                    & ( p706 @ B ) )
                  | ( ( p1106 @ B )
                    & ( p606 @ B ) )
                  | ( ( p1006 @ B )
                    & ( p606 @ B ) )
                  | ( ( p906 @ B )
                    & ( p606 @ B ) )
                  | ( ( p806 @ B )
                    & ( p606 @ B ) )
                  | ( ( p706 @ B )
                    & ( p606 @ B ) )
                  | ( ( p1106 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) ) )
                  | ( ( p1006 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) ) )
                  | ( ( p906 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) ) )
                  | ( ( p806 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) ) )
                  | ( ( p706 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) ) )
                  | ( ( p606 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) ) )
                  | ( ( p1106 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) ) )
                  | ( ( p1006 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) ) )
                  | ( ( p906 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) ) )
                  | ( ( p806 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) ) )
                  | ( ( p706 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) ) )
                  | ( ( p606 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) ) )
                  | ( ( p1106 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) ) )
                  | ( ( p1006 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) ) )
                  | ( ( p906 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) ) )
                  | ( ( p806 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) ) )
                  | ( ( p706 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) ) )
                  | ( ( p606 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) ) )
                  | ( ( p1106 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) ) )
                  | ( ( p1006 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) ) )
                  | ( ( p906 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) ) )
                  | ( ( p806 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) ) )
                  | ( ( p706 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) ) )
                  | ( ( p606 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) ) )
                  | ( ( p1106 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ( p1006 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ( p906 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ( p806 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ( p706 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ( p606 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p506 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p406 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p306 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p206 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p106 @ C ) ) )
                  | ( ( p1105 @ B )
                    & ( p1005 @ B ) )
                  | ( ( p1105 @ B )
                    & ( p905 @ B ) )
                  | ( ( p1005 @ B )
                    & ( p905 @ B ) )
                  | ( ( p1105 @ B )
                    & ( p805 @ B ) )
                  | ( ( p1005 @ B )
                    & ( p805 @ B ) )
                  | ( ( p905 @ B )
                    & ( p805 @ B ) )
                  | ( ( p1105 @ B )
                    & ( p705 @ B ) )
                  | ( ( p1005 @ B )
                    & ( p705 @ B ) )
                  | ( ( p905 @ B )
                    & ( p705 @ B ) )
                  | ( ( p805 @ B )
                    & ( p705 @ B ) )
                  | ( ( p1105 @ B )
                    & ( p605 @ B ) )
                  | ( ( p1005 @ B )
                    & ( p605 @ B ) )
                  | ( ( p905 @ B )
                    & ( p605 @ B ) )
                  | ( ( p805 @ B )
                    & ( p605 @ B ) )
                  | ( ( p705 @ B )
                    & ( p605 @ B ) )
                  | ( ( p1105 @ B )
                    & ( p505 @ B ) )
                  | ( ( p1005 @ B )
                    & ( p505 @ B ) )
                  | ( ( p905 @ B )
                    & ( p505 @ B ) )
                  | ( ( p805 @ B )
                    & ( p505 @ B ) )
                  | ( ( p705 @ B )
                    & ( p505 @ B ) )
                  | ( ( p605 @ B )
                    & ( p505 @ B ) )
                  | ( ( p1105 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) ) )
                  | ( ( p1005 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) ) )
                  | ( ( p905 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) ) )
                  | ( ( p805 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) ) )
                  | ( ( p705 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) ) )
                  | ( ( p605 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) ) )
                  | ( ( p505 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) ) )
                  | ( ( p1105 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) ) )
                  | ( ( p1005 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) ) )
                  | ( ( p905 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) ) )
                  | ( ( p805 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) ) )
                  | ( ( p705 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) ) )
                  | ( ( p605 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) ) )
                  | ( ( p505 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) ) )
                  | ( ( p1105 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) ) )
                  | ( ( p1005 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) ) )
                  | ( ( p905 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) ) )
                  | ( ( p805 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) ) )
                  | ( ( p705 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) ) )
                  | ( ( p605 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) ) )
                  | ( ( p505 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) ) )
                  | ( ( p1105 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ( p1005 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ( p905 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ( p805 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ( p705 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ( p605 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ( p505 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p405 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p305 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p205 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p105 @ C ) ) )
                  | ( ( p1104 @ B )
                    & ( p1004 @ B ) )
                  | ( ( p1104 @ B )
                    & ( p904 @ B ) )
                  | ( ( p1004 @ B )
                    & ( p904 @ B ) )
                  | ( ( p1104 @ B )
                    & ( p804 @ B ) )
                  | ( ( p1004 @ B )
                    & ( p804 @ B ) )
                  | ( ( p904 @ B )
                    & ( p804 @ B ) )
                  | ( ( p1104 @ B )
                    & ( p704 @ B ) )
                  | ( ( p1004 @ B )
                    & ( p704 @ B ) )
                  | ( ( p904 @ B )
                    & ( p704 @ B ) )
                  | ( ( p804 @ B )
                    & ( p704 @ B ) )
                  | ( ( p1104 @ B )
                    & ( p604 @ B ) )
                  | ( ( p1004 @ B )
                    & ( p604 @ B ) )
                  | ( ( p904 @ B )
                    & ( p604 @ B ) )
                  | ( ( p804 @ B )
                    & ( p604 @ B ) )
                  | ( ( p704 @ B )
                    & ( p604 @ B ) )
                  | ( ( p1104 @ B )
                    & ( p504 @ B ) )
                  | ( ( p1004 @ B )
                    & ( p504 @ B ) )
                  | ( ( p904 @ B )
                    & ( p504 @ B ) )
                  | ( ( p804 @ B )
                    & ( p504 @ B ) )
                  | ( ( p704 @ B )
                    & ( p504 @ B ) )
                  | ( ( p604 @ B )
                    & ( p504 @ B ) )
                  | ( ( p1104 @ B )
                    & ( p404 @ B ) )
                  | ( ( p1004 @ B )
                    & ( p404 @ B ) )
                  | ( ( p904 @ B )
                    & ( p404 @ B ) )
                  | ( ( p804 @ B )
                    & ( p404 @ B ) )
                  | ( ( p704 @ B )
                    & ( p404 @ B ) )
                  | ( ( p604 @ B )
                    & ( p404 @ B ) )
                  | ( ( p504 @ B )
                    & ( p404 @ B ) )
                  | ( ( p1104 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) ) )
                  | ( ( p1004 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) ) )
                  | ( ( p904 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) ) )
                  | ( ( p804 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) ) )
                  | ( ( p704 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) ) )
                  | ( ( p604 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) ) )
                  | ( ( p504 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) ) )
                  | ( ( p404 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) ) )
                  | ( ( p1104 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) ) )
                  | ( ( p1004 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) ) )
                  | ( ( p904 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) ) )
                  | ( ( p804 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) ) )
                  | ( ( p704 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) ) )
                  | ( ( p604 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) ) )
                  | ( ( p504 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) ) )
                  | ( ( p404 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) ) )
                  | ( ( p1104 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ( p1004 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ( p904 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ( p804 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ( p704 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ( p604 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ( p504 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ( p404 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p304 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p204 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p104 @ C ) ) )
                  | ( ( p1103 @ B )
                    & ( p1003 @ B ) )
                  | ( ( p1103 @ B )
                    & ( p903 @ B ) )
                  | ( ( p1003 @ B )
                    & ( p903 @ B ) )
                  | ( ( p1103 @ B )
                    & ( p803 @ B ) )
                  | ( ( p1003 @ B )
                    & ( p803 @ B ) )
                  | ( ( p903 @ B )
                    & ( p803 @ B ) )
                  | ( ( p1103 @ B )
                    & ( p703 @ B ) )
                  | ( ( p1003 @ B )
                    & ( p703 @ B ) )
                  | ( ( p903 @ B )
                    & ( p703 @ B ) )
                  | ( ( p803 @ B )
                    & ( p703 @ B ) )
                  | ( ( p1103 @ B )
                    & ( p603 @ B ) )
                  | ( ( p1003 @ B )
                    & ( p603 @ B ) )
                  | ( ( p903 @ B )
                    & ( p603 @ B ) )
                  | ( ( p803 @ B )
                    & ( p603 @ B ) )
                  | ( ( p703 @ B )
                    & ( p603 @ B ) )
                  | ( ( p1103 @ B )
                    & ( p503 @ B ) )
                  | ( ( p1003 @ B )
                    & ( p503 @ B ) )
                  | ( ( p903 @ B )
                    & ( p503 @ B ) )
                  | ( ( p803 @ B )
                    & ( p503 @ B ) )
                  | ( ( p703 @ B )
                    & ( p503 @ B ) )
                  | ( ( p603 @ B )
                    & ( p503 @ B ) )
                  | ( ( p1103 @ B )
                    & ( p403 @ B ) )
                  | ( ( p1003 @ B )
                    & ( p403 @ B ) )
                  | ( ( p903 @ B )
                    & ( p403 @ B ) )
                  | ( ( p803 @ B )
                    & ( p403 @ B ) )
                  | ( ( p703 @ B )
                    & ( p403 @ B ) )
                  | ( ( p603 @ B )
                    & ( p403 @ B ) )
                  | ( ( p503 @ B )
                    & ( p403 @ B ) )
                  | ( ( p1103 @ B )
                    & ( p303 @ B ) )
                  | ( ( p1003 @ B )
                    & ( p303 @ B ) )
                  | ( ( p903 @ B )
                    & ( p303 @ B ) )
                  | ( ( p803 @ B )
                    & ( p303 @ B ) )
                  | ( ( p703 @ B )
                    & ( p303 @ B ) )
                  | ( ( p603 @ B )
                    & ( p303 @ B ) )
                  | ( ( p503 @ B )
                    & ( p303 @ B ) )
                  | ( ( p403 @ B )
                    & ( p303 @ B ) )
                  | ( ( p1103 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) ) )
                  | ( ( p1003 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) ) )
                  | ( ( p903 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) ) )
                  | ( ( p803 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) ) )
                  | ( ( p703 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) ) )
                  | ( ( p603 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) ) )
                  | ( ( p503 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) ) )
                  | ( ( p403 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) ) )
                  | ( ( p303 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) ) )
                  | ( ( p1103 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ( p1003 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ( p903 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ( p803 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ( p703 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ( p603 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ( p503 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ( p403 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ( p303 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p203 @ C ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p103 @ C ) ) )
                  | ( ( p1102 @ B )
                    & ( p1002 @ B ) )
                  | ( ( p1102 @ B )
                    & ( p902 @ B ) )
                  | ( ( p1002 @ B )
                    & ( p902 @ B ) )
                  | ( ( p1102 @ B )
                    & ( p802 @ B ) )
                  | ( ( p1002 @ B )
                    & ( p802 @ B ) )
                  | ( ( p902 @ B )
                    & ( p802 @ B ) )
                  | ( ( p1102 @ B )
                    & ( p702 @ B ) )
                  | ( ( p1002 @ B )
                    & ( p702 @ B ) )
                  | ( ( p902 @ B )
                    & ( p702 @ B ) )
                  | ( ( p802 @ B )
                    & ( p702 @ B ) )
                  | ( ( p1102 @ B )
                    & ( p602 @ B ) )
                  | ( ( p1002 @ B )
                    & ( p602 @ B ) )
                  | ( ( p902 @ B )
                    & ( p602 @ B ) )
                  | ( ( p802 @ B )
                    & ( p602 @ B ) )
                  | ( ( p702 @ B )
                    & ( p602 @ B ) )
                  | ( ( p1102 @ B )
                    & ( p502 @ B ) )
                  | ( ( p1002 @ B )
                    & ( p502 @ B ) )
                  | ( ( p902 @ B )
                    & ( p502 @ B ) )
                  | ( ( p802 @ B )
                    & ( p502 @ B ) )
                  | ( ( p702 @ B )
                    & ( p502 @ B ) )
                  | ( ( p602 @ B )
                    & ( p502 @ B ) )
                  | ( ( p1102 @ B )
                    & ( p402 @ B ) )
                  | ( ( p1002 @ B )
                    & ( p402 @ B ) )
                  | ( ( p902 @ B )
                    & ( p402 @ B ) )
                  | ( ( p802 @ B )
                    & ( p402 @ B ) )
                  | ( ( p702 @ B )
                    & ( p402 @ B ) )
                  | ( ( p602 @ B )
                    & ( p402 @ B ) )
                  | ( ( p502 @ B )
                    & ( p402 @ B ) )
                  | ( ( p1102 @ B )
                    & ( p302 @ B ) )
                  | ( ( p1002 @ B )
                    & ( p302 @ B ) )
                  | ( ( p902 @ B )
                    & ( p302 @ B ) )
                  | ( ( p802 @ B )
                    & ( p302 @ B ) )
                  | ( ( p702 @ B )
                    & ( p302 @ B ) )
                  | ( ( p602 @ B )
                    & ( p302 @ B ) )
                  | ( ( p502 @ B )
                    & ( p302 @ B ) )
                  | ( ( p402 @ B )
                    & ( p302 @ B ) )
                  | ( ( p1102 @ B )
                    & ( p202 @ B ) )
                  | ( ( p1002 @ B )
                    & ( p202 @ B ) )
                  | ( ( p902 @ B )
                    & ( p202 @ B ) )
                  | ( ( p802 @ B )
                    & ( p202 @ B ) )
                  | ( ( p702 @ B )
                    & ( p202 @ B ) )
                  | ( ( p602 @ B )
                    & ( p202 @ B ) )
                  | ( ( p502 @ B )
                    & ( p202 @ B ) )
                  | ( ( p402 @ B )
                    & ( p202 @ B ) )
                  | ( ( p302 @ B )
                    & ( p202 @ B ) )
                  | ( ( p1102 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p1002 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p902 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p802 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p702 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p602 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p502 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p402 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p302 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p202 @ B )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( p102 @ C ) ) )
                  | ( ( p1101 @ B )
                    & ( p1001 @ B ) )
                  | ( ( p1101 @ B )
                    & ( p901 @ B ) )
                  | ( ( p1001 @ B )
                    & ( p901 @ B ) )
                  | ( ( p1101 @ B )
                    & ( p801 @ B ) )
                  | ( ( p1001 @ B )
                    & ( p801 @ B ) )
                  | ( ( p901 @ B )
                    & ( p801 @ B ) )
                  | ( ( p1101 @ B )
                    & ( p701 @ B ) )
                  | ( ( p1001 @ B )
                    & ( p701 @ B ) )
                  | ( ( p901 @ B )
                    & ( p701 @ B ) )
                  | ( ( p801 @ B )
                    & ( p701 @ B ) )
                  | ( ( p1101 @ B )
                    & ( p601 @ B ) )
                  | ( ( p1001 @ B )
                    & ( p601 @ B ) )
                  | ( ( p901 @ B )
                    & ( p601 @ B ) )
                  | ( ( p801 @ B )
                    & ( p601 @ B ) )
                  | ( ( p701 @ B )
                    & ( p601 @ B ) )
                  | ( ( p1101 @ B )
                    & ( p501 @ B ) )
                  | ( ( p1001 @ B )
                    & ( p501 @ B ) )
                  | ( ( p901 @ B )
                    & ( p501 @ B ) )
                  | ( ( p801 @ B )
                    & ( p501 @ B ) )
                  | ( ( p701 @ B )
                    & ( p501 @ B ) )
                  | ( ( p601 @ B )
                    & ( p501 @ B ) )
                  | ( ( p1101 @ B )
                    & ( p401 @ B ) )
                  | ( ( p1001 @ B )
                    & ( p401 @ B ) )
                  | ( ( p901 @ B )
                    & ( p401 @ B ) )
                  | ( ( p801 @ B )
                    & ( p401 @ B ) )
                  | ( ( p701 @ B )
                    & ( p401 @ B ) )
                  | ( ( p601 @ B )
                    & ( p401 @ B ) )
                  | ( ( p501 @ B )
                    & ( p401 @ B ) )
                  | ( ( p1101 @ B )
                    & ( p301 @ B ) )
                  | ( ( p1001 @ B )
                    & ( p301 @ B ) )
                  | ( ( p901 @ B )
                    & ( p301 @ B ) )
                  | ( ( p801 @ B )
                    & ( p301 @ B ) )
                  | ( ( p701 @ B )
                    & ( p301 @ B ) )
                  | ( ( p601 @ B )
                    & ( p301 @ B ) )
                  | ( ( p501 @ B )
                    & ( p301 @ B ) )
                  | ( ( p401 @ B )
                    & ( p301 @ B ) )
                  | ( ( p1101 @ B )
                    & ( p201 @ B ) )
                  | ( ( p1001 @ B )
                    & ( p201 @ B ) )
                  | ( ( p901 @ B )
                    & ( p201 @ B ) )
                  | ( ( p801 @ B )
                    & ( p201 @ B ) )
                  | ( ( p701 @ B )
                    & ( p201 @ B ) )
                  | ( ( p601 @ B )
                    & ( p201 @ B ) )
                  | ( ( p501 @ B )
                    & ( p201 @ B ) )
                  | ( ( p401 @ B )
                    & ( p201 @ B ) )
                  | ( ( p301 @ B )
                    & ( p201 @ B ) )
                  | ( ( p1101 @ B )
                    & ( p101 @ B ) )
                  | ( ( p1001 @ B )
                    & ( p101 @ B ) )
                  | ( ( p901 @ B )
                    & ( p101 @ B ) )
                  | ( ( p801 @ B )
                    & ( p101 @ B ) )
                  | ( ( p701 @ B )
                    & ( p101 @ B ) )
                  | ( ( p601 @ B )
                    & ( p101 @ B ) )
                  | ( ( p501 @ B )
                    & ( p101 @ B ) )
                  | ( ( p401 @ B )
                    & ( p101 @ B ) )
                  | ( ( p301 @ B )
                    & ( p101 @ B ) )
                  | ( ( p201 @ B )
                    & ( p101 @ B ) ) ) )
        | ~ ( ( ( p1110 @ A )
              | ( p1109 @ A )
              | ( p1108 @ A )
              | ( p1107 @ A )
              | ( p1106 @ A )
              | ( p1105 @ A )
              | ( p1104 @ A )
              | ( p1103 @ A )
              | ( p1102 @ A )
              | ( p1101 @ A ) )
            & ( ( p1010 @ A )
              | ( p1009 @ A )
              | ( p1008 @ A )
              | ( p1007 @ A )
              | ( p1006 @ A )
              | ( p1005 @ A )
              | ( p1004 @ A )
              | ( p1003 @ A )
              | ( p1002 @ A )
              | ( p1001 @ A ) )
            & ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p910 @ B ) )
              | ( p909 @ A )
              | ( p908 @ A )
              | ( p907 @ A )
              | ( p906 @ A )
              | ( p905 @ A )
              | ( p904 @ A )
              | ( p903 @ A )
              | ( p902 @ A )
              | ( p901 @ A ) )
            & ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p810 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p809 @ B ) )
              | ( p808 @ A )
              | ( p807 @ A )
              | ( p806 @ A )
              | ( p805 @ A )
              | ( p804 @ A )
              | ( p803 @ A )
              | ( p802 @ A )
              | ( p801 @ A ) )
            & ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p710 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p709 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p708 @ B ) )
              | ( p707 @ A )
              | ( p706 @ A )
              | ( p705 @ A )
              | ( p704 @ A )
              | ( p703 @ A )
              | ( p702 @ A )
              | ( p701 @ A ) )
            & ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p610 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p609 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p608 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p607 @ B ) )
              | ( p606 @ A )
              | ( p605 @ A )
              | ( p604 @ A )
              | ( p603 @ A )
              | ( p602 @ A )
              | ( p601 @ A ) )
            & ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p510 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p509 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p508 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p507 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p506 @ B ) )
              | ( p505 @ A )
              | ( p504 @ A )
              | ( p503 @ A )
              | ( p502 @ A )
              | ( p501 @ A ) )
            & ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p410 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p409 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p408 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p407 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p406 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p405 @ B ) )
              | ( p404 @ A )
              | ( p403 @ A )
              | ( p402 @ A )
              | ( p401 @ A ) )
            & ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p310 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p309 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p308 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p307 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p306 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p305 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p304 @ B ) )
              | ( p303 @ A )
              | ( p302 @ A )
              | ( p301 @ A ) )
            & ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p210 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p209 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p208 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p207 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p206 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p205 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p204 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p203 @ B ) )
              | ( p202 @ A )
              | ( p201 @ A ) )
            & ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p110 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p109 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p108 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p107 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p106 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p105 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p104 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p103 @ B ) )
              | ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( p102 @ B ) )
              | ( p101 @ A ) ) ) ),
    inference(miniscope,[status(thm)],[5]) ).

thf(8,plain,
    ! [A: $i] :
      ( ~ ( r1 @ sk1 @ A )
      | ~ ( p1107 @ A )
      | ( r1 @ A @ ( sk263 @ A ) ) ),
    inference(cnf,[status(esa)],[6]) ).

thf(1199,plain,
    ! [B: $i,A: $i] :
      ( ~ ( p1107 @ B )
      | ( r1 @ B @ ( sk263 @ B ) )
      | ( ( r1 @ A @ A )
       != ( r1 @ sk1 @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[1148,8]) ).

thf(1200,plain,
    ( ~ ( p1107 @ sk1 )
    | ( r1 @ sk1 @ ( sk263 @ sk1 ) ) ),
    inference(pattern_uni,[status(thm)],[1199:[bind(A,$thf( sk1 )),bind(B,$thf( sk1 ))]]) ).

thf(24,plain,
    ! [A: $i] :
      ( ~ ( r1 @ sk1 @ A )
      | ~ ( p401 @ A )
      | ~ ( p301 @ A ) ),
    inference(cnf,[status(esa)],[6]) ).

thf(1205,plain,
    ! [A: $i] :
      ( ~ ( p1107 @ sk1 )
      | ~ ( p401 @ A )
      | ~ ( p301 @ A )
      | ( ( r1 @ sk1 @ ( sk263 @ sk1 ) )
       != ( r1 @ sk1 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[1200,24]) ).

thf(1206,plain,
    ( ~ ( p1107 @ sk1 )
    | ~ ( p401 @ ( sk263 @ sk1 ) )
    | ~ ( p301 @ ( sk263 @ sk1 ) ) ),
    inference(pattern_uni,[status(thm)],[1205:[bind(A,$thf( sk263 @ sk1 ))]]) ).

thf(21,plain,
    ! [A: $i] :
      ( ~ ( r1 @ sk1 @ A )
      | ~ ( p1106 @ A )
      | ~ ( p706 @ A ) ),
    inference(cnf,[status(esa)],[6]) ).

thf(7,plain,
    ! [A: $i] :
      ( ~ ( r1 @ sk1 @ A )
      | ( r1 @ A @ ( sk114 @ A ) )
      | ~ ( p509 @ ( sk115 @ A ) ) ),
    inference(cnf,[status(esa)],[6]) ).

thf(1165,plain,
    ! [B: $i,A: $i] :
      ( ( r1 @ B @ ( sk114 @ B ) )
      | ~ ( p509 @ ( sk115 @ B ) )
      | ( ( r1 @ A @ A )
       != ( r1 @ sk1 @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[1148,7]) ).

thf(1166,plain,
    ( ( r1 @ sk1 @ ( sk114 @ sk1 ) )
    | ~ ( p509 @ ( sk115 @ sk1 ) ) ),
    inference(pattern_uni,[status(thm)],[1165:[bind(A,$thf( sk1 )),bind(B,$thf( sk1 ))]]) ).

thf(29,plain,
    ! [A: $i] :
      ( ~ ( r1 @ sk1 @ A )
      | ~ ( p604 @ A )
      | ~ ( p404 @ A ) ),
    inference(cnf,[status(esa)],[6]) ).

thf(1181,plain,
    ! [A: $i] :
      ( ~ ( p509 @ ( sk115 @ sk1 ) )
      | ~ ( p604 @ A )
      | ~ ( p404 @ A )
      | ( ( r1 @ sk1 @ ( sk114 @ sk1 ) )
       != ( r1 @ sk1 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[1166,29]) ).

thf(1182,plain,
    ( ~ ( p509 @ ( sk115 @ sk1 ) )
    | ~ ( p604 @ ( sk114 @ sk1 ) )
    | ~ ( p404 @ ( sk114 @ sk1 ) ) ),
    inference(pattern_uni,[status(thm)],[1181:[bind(A,$thf( sk114 @ sk1 ))]]) ).

thf(1169,plain,
    ! [A: $i] :
      ( ~ ( p509 @ ( sk115 @ sk1 ) )
      | ~ ( p401 @ A )
      | ~ ( p301 @ A )
      | ( ( r1 @ sk1 @ ( sk114 @ sk1 ) )
       != ( r1 @ sk1 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[1166,24]) ).

thf(1170,plain,
    ( ~ ( p509 @ ( sk115 @ sk1 ) )
    | ~ ( p401 @ ( sk114 @ sk1 ) )
    | ~ ( p301 @ ( sk114 @ sk1 ) ) ),
    inference(pattern_uni,[status(thm)],[1169:[bind(A,$thf( sk114 @ sk1 ))]]) ).

thf(1153,plain,
    ! [B: $i,A: $i] :
      ( ~ ( p1106 @ B )
      | ~ ( p706 @ B )
      | ( ( r1 @ A @ A )
       != ( r1 @ sk1 @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[1148,21]) ).

thf(1154,plain,
    ( ~ ( p1106 @ sk1 )
    | ~ ( p706 @ sk1 ) ),
    inference(pattern_uni,[status(thm)],[1153:[bind(A,$thf( sk1 )),bind(B,$thf( sk1 ))]]) ).

thf(11,plain,
    ! [A: $i] :
      ( ~ ( r1 @ sk1 @ A )
      | ~ ( p1006 @ A )
      | ~ ( p706 @ A ) ),
    inference(cnf,[status(esa)],[6]) ).

thf(1175,plain,
    ! [A: $i] :
      ( ~ ( p509 @ ( sk115 @ sk1 ) )
      | ~ ( p1006 @ A )
      | ~ ( p706 @ A )
      | ( ( r1 @ sk1 @ ( sk114 @ sk1 ) )
       != ( r1 @ sk1 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[1166,11]) ).

thf(1176,plain,
    ( ~ ( p509 @ ( sk115 @ sk1 ) )
    | ~ ( p1006 @ ( sk114 @ sk1 ) )
    | ~ ( p706 @ ( sk114 @ sk1 ) ) ),
    inference(pattern_uni,[status(thm)],[1175:[bind(A,$thf( sk114 @ sk1 ))]]) ).

thf(13,plain,
    ! [A: $i] :
      ( ~ ( r1 @ sk1 @ A )
      | ~ ( p1103 @ A )
      | ~ ( p703 @ A ) ),
    inference(cnf,[status(esa)],[6]) ).

thf(1151,plain,
    ! [B: $i,A: $i] :
      ( ~ ( p1103 @ B )
      | ~ ( p703 @ B )
      | ( ( r1 @ A @ A )
       != ( r1 @ sk1 @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[1148,13]) ).

thf(1152,plain,
    ( ~ ( p1103 @ sk1 )
    | ~ ( p703 @ sk1 ) ),
    inference(pattern_uni,[status(thm)],[1151:[bind(A,$thf( sk1 )),bind(B,$thf( sk1 ))]]) ).

thf(1183,plain,
    ! [B: $i,A: $i] :
      ( ~ ( p604 @ B )
      | ~ ( p404 @ B )
      | ( ( r1 @ A @ A )
       != ( r1 @ sk1 @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[1148,29]) ).

thf(1184,plain,
    ( ~ ( p604 @ sk1 )
    | ~ ( p404 @ sk1 ) ),
    inference(pattern_uni,[status(thm)],[1183:[bind(A,$thf( sk1 )),bind(B,$thf( sk1 ))]]) ).

thf(638,plain,
    ( ( p1110 @ sk1 )
    | ( p1109 @ sk1 )
    | ( p1108 @ sk1 )
    | ( p1107 @ sk1 )
    | ( p1106 @ sk1 )
    | ( p1105 @ sk1 )
    | ( p1104 @ sk1 )
    | ( p1103 @ sk1 )
    | ( p1102 @ sk1 )
    | ( p1101 @ sk1 ) ),
    inference(cnf,[status(esa)],[6]) ).

thf(1177,plain,
    ! [A: $i] :
      ( ~ ( p509 @ ( sk115 @ sk1 ) )
      | ~ ( p1103 @ A )
      | ~ ( p703 @ A )
      | ( ( r1 @ sk1 @ ( sk114 @ sk1 ) )
       != ( r1 @ sk1 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[1166,13]) ).

thf(1178,plain,
    ( ~ ( p509 @ ( sk115 @ sk1 ) )
    | ~ ( p1103 @ ( sk114 @ sk1 ) )
    | ~ ( p703 @ ( sk114 @ sk1 ) ) ),
    inference(pattern_uni,[status(thm)],[1177:[bind(A,$thf( sk114 @ sk1 ))]]) ).

thf(9,plain,
    ! [A: $i] :
      ( ~ ( r1 @ sk1 @ A )
      | ( r1 @ A @ ( sk80 @ A ) )
      | ( r1 @ A @ ( sk81 @ A ) ) ),
    inference(cnf,[status(esa)],[6]) ).

thf(1251,plain,
    ! [B: $i,A: $i] :
      ( ( r1 @ B @ ( sk80 @ B ) )
      | ( r1 @ B @ ( sk81 @ B ) )
      | ( ( r1 @ A @ A )
       != ( r1 @ sk1 @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[1148,9]) ).

thf(1252,plain,
    ( ( r1 @ sk1 @ ( sk80 @ sk1 ) )
    | ( r1 @ sk1 @ ( sk81 @ sk1 ) ) ),
    inference(pattern_uni,[status(thm)],[1251:[bind(A,$thf( sk1 )),bind(B,$thf( sk1 ))]]) ).

thf(1293,plain,
    ( ( r1 @ sk1 @ ( sk80 @ sk1 ) )
    | ( ( r1 @ sk1 @ ( sk81 @ sk1 ) )
     != ( r1 @ sk1 @ ( sk80 @ sk1 ) ) )
    | ~ $true ),
    inference(eqfactor_ordered,[status(thm)],[1252]) ).

thf(1295,plain,
    ( ( r1 @ sk1 @ ( sk80 @ sk1 ) )
    | ( sk1 != sk1 )
    | ( ( sk81 @ sk1 )
     != ( sk80 @ sk1 ) ) ),
    inference(simp,[status(thm)],[1293]) ).

thf(1296,plain,
    ( ( r1 @ sk1 @ ( sk80 @ sk1 ) )
    | ( ( sk81 @ sk1 )
     != ( sk80 @ sk1 ) ) ),
    inference(simp,[status(thm)],[1295]) ).

thf(31,plain,
    ! [A: $i] :
      ( ~ ( r1 @ sk1 @ A )
      | ~ ( p1102 @ A )
      | ~ ( p802 @ A ) ),
    inference(cnf,[status(esa)],[6]) ).

thf(1233,plain,
    ! [B: $i,A: $i] :
      ( ~ ( p1102 @ B )
      | ~ ( p802 @ B )
      | ( ( r1 @ A @ A )
       != ( r1 @ sk1 @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[1148,31]) ).

thf(1234,plain,
    ( ~ ( p1102 @ sk1 )
    | ~ ( p802 @ sk1 ) ),
    inference(pattern_uni,[status(thm)],[1233:[bind(A,$thf( sk1 )),bind(B,$thf( sk1 ))]]) ).

thf(115,plain,
    ! [A: $i] :
      ( ~ ( r1 @ sk1 @ A )
      | ( p910 @ A )
      | ( p909 @ sk1 )
      | ( p908 @ sk1 )
      | ( p907 @ sk1 )
      | ( p906 @ sk1 )
      | ( p905 @ sk1 )
      | ( p904 @ sk1 )
      | ( p903 @ sk1 )
      | ( p902 @ sk1 )
      | ( p901 @ sk1 ) ),
    inference(cnf,[status(esa)],[6]) ).

thf(1138,plain,
    ! [A: $i] :
      ( ~ ( r1 @ sk1 @ A )
      | ( p910 @ A )
      | ( p909 @ sk1 )
      | ( p908 @ sk1 )
      | ( p907 @ sk1 )
      | ( p906 @ sk1 )
      | ( p905 @ sk1 )
      | ( p904 @ sk1 )
      | ( p903 @ sk1 )
      | ( p902 @ sk1 )
      | ( p901 @ sk1 ) ),
    inference(simp,[status(thm)],[115]) ).

thf(1149,plain,
    ! [B: $i,A: $i] :
      ( ~ ( p1006 @ B )
      | ~ ( p706 @ B )
      | ( ( r1 @ A @ A )
       != ( r1 @ sk1 @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[1148,11]) ).

thf(1150,plain,
    ( ~ ( p1006 @ sk1 )
    | ~ ( p706 @ sk1 ) ),
    inference(pattern_uni,[status(thm)],[1149:[bind(A,$thf( sk1 )),bind(B,$thf( sk1 ))]]) ).

thf(1207,plain,
    ! [A: $i] :
      ( ~ ( p1107 @ sk1 )
      | ~ ( p1106 @ A )
      | ~ ( p706 @ A )
      | ( ( r1 @ sk1 @ ( sk263 @ sk1 ) )
       != ( r1 @ sk1 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[1200,21]) ).

thf(1208,plain,
    ( ~ ( p1107 @ sk1 )
    | ~ ( p1106 @ ( sk263 @ sk1 ) )
    | ~ ( p706 @ ( sk263 @ sk1 ) ) ),
    inference(pattern_uni,[status(thm)],[1207:[bind(A,$thf( sk263 @ sk1 ))]]) ).

thf(1155,plain,
    ! [B: $i,A: $i] :
      ( ~ ( p401 @ B )
      | ~ ( p301 @ B )
      | ( ( r1 @ A @ A )
       != ( r1 @ sk1 @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[1148,24]) ).

thf(1156,plain,
    ( ~ ( p401 @ sk1 )
    | ~ ( p301 @ sk1 ) ),
    inference(pattern_uni,[status(thm)],[1155:[bind(A,$thf( sk1 )),bind(B,$thf( sk1 ))]]) ).

thf(1229,plain,
    ! [A: $i] :
      ( ~ ( p1107 @ sk1 )
      | ~ ( p1102 @ A )
      | ~ ( p802 @ A )
      | ( ( r1 @ sk1 @ ( sk263 @ sk1 ) )
       != ( r1 @ sk1 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[1200,31]) ).

thf(1230,plain,
    ( ~ ( p1107 @ sk1 )
    | ~ ( p1102 @ ( sk263 @ sk1 ) )
    | ~ ( p802 @ ( sk263 @ sk1 ) ) ),
    inference(pattern_uni,[status(thm)],[1229:[bind(A,$thf( sk263 @ sk1 ))]]) ).

thf(1217,plain,
    ! [A: $i] :
      ( ~ ( p1107 @ sk1 )
      | ~ ( p1103 @ A )
      | ~ ( p703 @ A )
      | ( ( r1 @ sk1 @ ( sk263 @ sk1 ) )
       != ( r1 @ sk1 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[1200,13]) ).

thf(1218,plain,
    ( ~ ( p1107 @ sk1 )
    | ~ ( p1103 @ ( sk263 @ sk1 ) )
    | ~ ( p703 @ ( sk263 @ sk1 ) ) ),
    inference(pattern_uni,[status(thm)],[1217:[bind(A,$thf( sk263 @ sk1 ))]]) ).

thf(250,plain,
    ( ( p1010 @ sk1 )
    | ( p1009 @ sk1 )
    | ( p1008 @ sk1 )
    | ( p1007 @ sk1 )
    | ( p1006 @ sk1 )
    | ( p1005 @ sk1 )
    | ( p1004 @ sk1 )
    | ( p1003 @ sk1 )
    | ( p1002 @ sk1 )
    | ( p1001 @ sk1 ) ),
    inference(cnf,[status(esa)],[6]) ).

thf(1215,plain,
    ! [A: $i] :
      ( ~ ( p1107 @ sk1 )
      | ~ ( p604 @ A )
      | ~ ( p404 @ A )
      | ( ( r1 @ sk1 @ ( sk263 @ sk1 ) )
       != ( r1 @ sk1 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[1200,29]) ).

thf(1216,plain,
    ( ~ ( p1107 @ sk1 )
    | ~ ( p604 @ ( sk263 @ sk1 ) )
    | ~ ( p404 @ ( sk263 @ sk1 ) ) ),
    inference(pattern_uni,[status(thm)],[1215:[bind(A,$thf( sk263 @ sk1 ))]]) ).

thf(1294,plain,
    ( ( r1 @ sk1 @ ( sk80 @ sk1 ) )
    | ( ( r1 @ sk1 @ ( sk81 @ sk1 ) )
     != ( r1 @ sk1 @ ( sk80 @ sk1 ) ) ) ),
    inference(simp,[status(thm)],[1293]) ).

thf(1211,plain,
    ! [A: $i] :
      ( ~ ( p1107 @ sk1 )
      | ~ ( p1006 @ A )
      | ~ ( p706 @ A )
      | ( ( r1 @ sk1 @ ( sk263 @ sk1 ) )
       != ( r1 @ sk1 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[1200,11]) ).

thf(1212,plain,
    ( ~ ( p1107 @ sk1 )
    | ~ ( p1006 @ ( sk263 @ sk1 ) )
    | ~ ( p706 @ ( sk263 @ sk1 ) ) ),
    inference(pattern_uni,[status(thm)],[1211:[bind(A,$thf( sk263 @ sk1 ))]]) ).

thf(1171,plain,
    ! [A: $i] :
      ( ~ ( p509 @ ( sk115 @ sk1 ) )
      | ~ ( p1106 @ A )
      | ~ ( p706 @ A )
      | ( ( r1 @ sk1 @ ( sk114 @ sk1 ) )
       != ( r1 @ sk1 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[1166,21]) ).

thf(1172,plain,
    ( ~ ( p509 @ ( sk115 @ sk1 ) )
    | ~ ( p1106 @ ( sk114 @ sk1 ) )
    | ~ ( p706 @ ( sk114 @ sk1 ) ) ),
    inference(pattern_uni,[status(thm)],[1171:[bind(A,$thf( sk114 @ sk1 ))]]) ).

thf(38284,plain,
    $false,
    inference(cvc4,[status(thm)],[1200,24,1206,21,1182,1170,1154,7,1176,11,1148,1152,1184,638,1147,29,1178,1296,1234,9,1138,1150,13,1166,1208,1156,1252,1230,1218,31,250,1216,8,1294,1212,4,1172]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL666+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.37  % Computer : n004.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Thu May 18 15:33:25 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.97/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.58/1.08  % [INFO] 	 Parsing done (220ms). 
% 1.73/1.09  % [INFO] 	 Running in sequential loop mode. 
% 2.15/1.30  % [INFO] 	 eprover registered as external prover. 
% 2.15/1.30  % [INFO] 	 cvc4 registered as external prover. 
% 2.15/1.30  % [INFO] 	 Scanning for conjecture ... 
% 4.85/3.04  % [INFO] 	 Found a conjecture and 1 axioms. Running axiom selection ... 
% 5.32/3.17  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 5.32/3.18  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 5.32/3.19  % [INFO] 	 Type checking passed. 
% 5.50/3.20  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 121.48/30.03  % External prover 'cvc4' found a proof!
% 121.48/30.03  % [INFO] 	 Killing All external provers ... 
% 121.48/30.03  % Time passed: 29512ms (effective reasoning time: 28945ms)
% 121.48/30.03  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 121.48/30.04  % Axioms used in derivation (1): reflexivity
% 121.48/30.04  % No. of inferences in proof: 66
% 121.48/30.04  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 29512 ms resp. 28945 ms w/o parsing
% 122.07/30.29  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 122.07/30.30  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------