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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : LCL644+1.020 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 07:52:17 AM UTC 2026

% Result   : Theorem 13.36s 12.39s
% Output   : Refutation 16.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  144
% Syntax   : Number of formulae    :  153 ( 147 unt;   0 typ; 143 def)
%            Number of atoms       : 9347 ( 143 equ;   0 cnn)
%            Maximal formula atoms : 3030 (  61 avg)
%            Number of connectives : 24445 (5620   ~;6510   |;2541   &;9774   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  778 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  247 ( 245 usr; 184 con; 0-2 aty)
%            Number of variables   : 2376 (  40   ^;2189   !;   4   ?;2376   :)
%                                         (   0  !>;   0  ?*;   0  @-; 143  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(r1_decl,type,
    r1: $i > $i > $o ).

thf(p21_decl,type,
    p21: $i > $o ).

thf(p20_decl,type,
    p20: $i > $o ).

thf(p19_decl,type,
    p19: $i > $o ).

thf(p18_decl,type,
    p18: $i > $o ).

thf(p17_decl,type,
    p17: $i > $o ).

thf(p16_decl,type,
    p16: $i > $o ).

thf(p15_decl,type,
    p15: $i > $o ).

thf(p14_decl,type,
    p14: $i > $o ).

thf(p13_decl,type,
    p13: $i > $o ).

thf(p12_decl,type,
    p12: $i > $o ).

thf(p11_decl,type,
    p11: $i > $o ).

thf(p10_decl,type,
    p10: $i > $o ).

thf(p9_decl,type,
    p9: $i > $o ).

thf(p8_decl,type,
    p8: $i > $o ).

thf(p7_decl,type,
    p7: $i > $o ).

thf(p6_decl,type,
    p6: $i > $o ).

thf(p5_decl,type,
    p5: $i > $o ).

thf(p4_decl,type,
    p4: $i > $o ).

thf(p3_decl,type,
    p3: $i > $o ).

thf(p2_decl,type,
    p2: $i > $o ).

thf(p1_decl,type,
    p1: $i > $o ).

thf(sk1_decl,type,
    sk1: $i ).

thf(sk2_decl,type,
    sk2: $o ).

thf(sk3_decl,type,
    sk3: $i > $i ).

thf(sk4_decl,type,
    sk4: $o ).

thf(sk5_decl,type,
    sk5: $i > $i ).

thf(sk6_decl,type,
    sk6: $o ).

thf(sk7_decl,type,
    sk7: $i ).

thf(sk8_decl,type,
    sk8: $i ).

thf(sk9_decl,type,
    sk9: $o ).

thf(sk10_decl,type,
    sk10: $i ).

thf(sk11_decl,type,
    sk11: $i ).

thf(sk12_decl,type,
    sk12: $i ).

thf(sk13_decl,type,
    sk13: $o ).

thf(sk14_decl,type,
    sk14: $i > $i ).

thf(sk15_decl,type,
    sk15: $o ).

thf(sk16_decl,type,
    sk16: $i > $i ).

thf(sk17_decl,type,
    sk17: $o ).

thf(sk18_decl,type,
    sk18: $i ).

thf(sk19_decl,type,
    sk19: $i ).

thf(sk20_decl,type,
    sk20: $o ).

thf(sk21_decl,type,
    sk21: $i ).

thf(sk22_decl,type,
    sk22: $i ).

thf(sk23_decl,type,
    sk23: $i ).

thf(sk24_decl,type,
    sk24: $o ).

thf(sk25_decl,type,
    sk25: $i > $i ).

thf(sk26_decl,type,
    sk26: $o ).

thf(sk27_decl,type,
    sk27: $i > $i ).

thf(sk28_decl,type,
    sk28: $o ).

thf(sk29_decl,type,
    sk29: $i ).

thf(sk30_decl,type,
    sk30: $i ).

thf(sk31_decl,type,
    sk31: $o ).

thf(sk32_decl,type,
    sk32: $i ).

thf(sk33_decl,type,
    sk33: $i ).

thf(sk34_decl,type,
    sk34: $i ).

thf(sk35_decl,type,
    sk35: $o ).

thf(sk36_decl,type,
    sk36: $i > $i ).

thf(sk37_decl,type,
    sk37: $o ).

thf(sk38_decl,type,
    sk38: $i > $i ).

thf(sk39_decl,type,
    sk39: $o ).

thf(sk40_decl,type,
    sk40: $i ).

thf(sk41_decl,type,
    sk41: $i ).

thf(sk42_decl,type,
    sk42: $o ).

thf(sk43_decl,type,
    sk43: $i ).

thf(sk44_decl,type,
    sk44: $i ).

thf(sk45_decl,type,
    sk45: $i ).

thf(sk46_decl,type,
    sk46: $o ).

thf(sk47_decl,type,
    sk47: $i > $i ).

thf(sk48_decl,type,
    sk48: $o ).

thf(sk49_decl,type,
    sk49: $i > $i ).

thf(sk50_decl,type,
    sk50: $o ).

thf(sk51_decl,type,
    sk51: $i ).

thf(sk52_decl,type,
    sk52: $i ).

thf(sk53_decl,type,
    sk53: $o ).

thf(sk54_decl,type,
    sk54: $i ).

thf(sk55_decl,type,
    sk55: $i ).

thf(sk56_decl,type,
    sk56: $i ).

thf(sk57_decl,type,
    sk57: $o ).

thf(sk58_decl,type,
    sk58: $i > $i ).

thf(sk59_decl,type,
    sk59: $o ).

thf(sk60_decl,type,
    sk60: $i > $i ).

thf(sk61_decl,type,
    sk61: $o ).

thf(sk62_decl,type,
    sk62: $i ).

thf(sk63_decl,type,
    sk63: $i ).

thf(sk64_decl,type,
    sk64: $o ).

thf(sk65_decl,type,
    sk65: $i ).

thf(sk66_decl,type,
    sk66: $i ).

thf(sk67_decl,type,
    sk67: $i ).

thf(sk68_decl,type,
    sk68: $o ).

thf(sk69_decl,type,
    sk69: $i > $i ).

thf(sk70_decl,type,
    sk70: $o ).

thf(sk71_decl,type,
    sk71: $i > $i ).

thf(sk72_decl,type,
    sk72: $o ).

thf(sk73_decl,type,
    sk73: $i ).

thf(sk74_decl,type,
    sk74: $i ).

thf(sk75_decl,type,
    sk75: $o ).

thf(sk76_decl,type,
    sk76: $i ).

thf(sk77_decl,type,
    sk77: $i ).

thf(sk78_decl,type,
    sk78: $i ).

thf(sk79_decl,type,
    sk79: $o ).

thf(sk80_decl,type,
    sk80: $i > $i ).

thf(sk81_decl,type,
    sk81: $o ).

thf(sk82_decl,type,
    sk82: $i > $i ).

thf(sk83_decl,type,
    sk83: $o ).

thf(sk84_decl,type,
    sk84: $i ).

thf(sk85_decl,type,
    sk85: $i ).

thf(sk86_decl,type,
    sk86: $o ).

thf(sk87_decl,type,
    sk87: $i ).

thf(sk88_decl,type,
    sk88: $i ).

thf(sk89_decl,type,
    sk89: $i ).

thf(sk90_decl,type,
    sk90: $o ).

thf(sk91_decl,type,
    sk91: $i > $i ).

thf(sk92_decl,type,
    sk92: $o ).

thf(sk93_decl,type,
    sk93: $i > $i ).

thf(sk94_decl,type,
    sk94: $o ).

thf(sk95_decl,type,
    sk95: $i ).

thf(sk96_decl,type,
    sk96: $i ).

thf(sk97_decl,type,
    sk97: $o ).

thf(sk98_decl,type,
    sk98: $i ).

thf(sk99_decl,type,
    sk99: $i ).

thf(sk100_decl,type,
    sk100: $i ).

thf(sk101_decl,type,
    sk101: $o ).

thf(sk102_decl,type,
    sk102: $i > $i ).

thf(sk103_decl,type,
    sk103: $o ).

thf(sk104_decl,type,
    sk104: $i > $i ).

thf(sk105_decl,type,
    sk105: $o ).

thf(sk106_decl,type,
    sk106: $i ).

thf(sk107_decl,type,
    sk107: $i ).

thf(sk108_decl,type,
    sk108: $o ).

thf(sk109_decl,type,
    sk109: $i ).

thf(sk110_decl,type,
    sk110: $i ).

thf(sk111_decl,type,
    sk111: $i ).

thf(sk112_decl,type,
    sk112: $o ).

thf(sk113_decl,type,
    sk113: $i > $i ).

thf(sk114_decl,type,
    sk114: $o ).

thf(sk115_decl,type,
    sk115: $i > $i ).

thf(sk116_decl,type,
    sk116: $o ).

thf(sk117_decl,type,
    sk117: $i ).

thf(sk118_decl,type,
    sk118: $i ).

thf(sk119_decl,type,
    sk119: $o ).

thf(sk120_decl,type,
    sk120: $i ).

thf(sk121_decl,type,
    sk121: $i ).

thf(sk122_decl,type,
    sk122: $i ).

thf(sk123_decl,type,
    sk123: $o ).

thf(sk124_decl,type,
    sk124: $i > $i ).

thf(sk125_decl,type,
    sk125: $o ).

thf(sk126_decl,type,
    sk126: $i > $i ).

thf(sk127_decl,type,
    sk127: $o ).

thf(sk128_decl,type,
    sk128: $i ).

thf(sk129_decl,type,
    sk129: $i ).

thf(sk130_decl,type,
    sk130: $o ).

thf(sk131_decl,type,
    sk131: $i ).

thf(sk132_decl,type,
    sk132: $i ).

thf(sk133_decl,type,
    sk133: $i ).

thf(sk134_decl,type,
    sk134: $o ).

thf(sk135_decl,type,
    sk135: $i > $i ).

thf(sk136_decl,type,
    sk136: $o ).

thf(sk137_decl,type,
    sk137: $i > $i ).

thf(sk138_decl,type,
    sk138: $o ).

thf(sk139_decl,type,
    sk139: $i ).

thf(sk140_decl,type,
    sk140: $i ).

thf(sk141_decl,type,
    sk141: $o ).

thf(sk142_decl,type,
    sk142: $i ).

thf(sk143_decl,type,
    sk143: $i ).

thf(sk144_decl,type,
    sk144: $i ).

thf(sk145_decl,type,
    sk145: $o ).

thf(sk146_decl,type,
    sk146: $i > $i ).

thf(sk147_decl,type,
    sk147: $o ).

thf(sk148_decl,type,
    sk148: $i > $i ).

thf(sk149_decl,type,
    sk149: $o ).

thf(sk150_decl,type,
    sk150: $i ).

thf(sk151_decl,type,
    sk151: $i ).

thf(sk152_decl,type,
    sk152: $o ).

thf(sk153_decl,type,
    sk153: $i ).

thf(sk154_decl,type,
    sk154: $i ).

thf(sk155_decl,type,
    sk155: $i ).

thf(sk156_decl,type,
    sk156: $i ).

thf(sk157_decl,type,
    sk157: $i ).

thf(sk158_decl,type,
    sk158: $o ).

thf(sk159_decl,type,
    sk159: $i > $i ).

thf(sk160_decl,type,
    sk160: $o ).

thf(sk161_decl,type,
    sk161: $i > $i ).

thf(sk162_decl,type,
    sk162: $o ).

thf(sk163_decl,type,
    sk163: $i ).

thf(sk164_decl,type,
    sk164: $i ).

thf(sk165_decl,type,
    sk165: $o ).

thf(sk166_decl,type,
    sk166: $i ).

thf(sk167_decl,type,
    sk167: $i ).

thf(sk168_decl,type,
    sk168: $i ).

thf(sk169_decl,type,
    sk169: $o ).

thf(sk170_decl,type,
    sk170: $i > $i ).

thf(sk171_decl,type,
    sk171: $o ).

thf(sk172_decl,type,
    sk172: $i > $i ).

thf(sk173_decl,type,
    sk173: $o ).

thf(sk174_decl,type,
    sk174: $i ).

thf(sk175_decl,type,
    sk175: $i ).

thf(sk176_decl,type,
    sk176: $o ).

thf(sk177_decl,type,
    sk177: $i ).

thf(sk178_decl,type,
    sk178: $i ).

thf(sk179_decl,type,
    sk179: $i ).

thf(sk180_decl,type,
    sk180: $o ).

thf(sk181_decl,type,
    sk181: $i > $i ).

thf(sk182_decl,type,
    sk182: $o ).

thf(sk183_decl,type,
    sk183: $i > $i ).

thf(sk184_decl,type,
    sk184: $o ).

thf(sk185_decl,type,
    sk185: $i ).

thf(sk186_decl,type,
    sk186: $i ).

thf(sk187_decl,type,
    sk187: $o ).

thf(sk188_decl,type,
    sk188: $i ).

thf(sk189_decl,type,
    sk189: $i ).

thf(sk190_decl,type,
    sk190: $i ).

thf(sk191_decl,type,
    sk191: $o ).

thf(sk192_decl,type,
    sk192: $i > $i ).

thf(sk193_decl,type,
    sk193: $o ).

thf(sk194_decl,type,
    sk194: $i > $i ).

thf(sk195_decl,type,
    sk195: $o ).

thf(sk196_decl,type,
    sk196: $i ).

thf(sk197_decl,type,
    sk197: $i ).

thf(sk198_decl,type,
    sk198: $o ).

thf(sk199_decl,type,
    sk199: $i ).

thf(sk200_decl,type,
    sk200: $i ).

thf(sk201_decl,type,
    sk201: $i ).

thf(sk202_decl,type,
    sk202: $o ).

thf(sk203_decl,type,
    sk203: $i > $i ).

thf(sk204_decl,type,
    sk204: $o ).

thf(sk205_decl,type,
    sk205: $i > $i ).

thf(sk206_decl,type,
    sk206: $o ).

thf(sk207_decl,type,
    sk207: $i ).

thf(sk208_decl,type,
    sk208: $i ).

thf(sk209_decl,type,
    sk209: $o ).

thf(sk210_decl,type,
    sk210: $i ).

thf(sk211_decl,type,
    sk211: $i ).

thf(sk212_decl,type,
    sk212: $i ).

thf(sk213_decl,type,
    sk213: $o ).

thf(sk214_decl,type,
    sk214: $i > $i ).

thf(sk215_decl,type,
    sk215: $o ).

thf(sk216_decl,type,
    sk216: $i > $i ).

thf(sk217_decl,type,
    sk217: $o ).

thf(sk218_decl,type,
    sk218: $i ).

thf(sk219_decl,type,
    sk219: $i ).

thf(sk220_decl,type,
    sk220: $o ).

thf(sk221_decl,type,
    sk221: $i ).

thf(sk222_decl,type,
    sk222: $i ).

thf(sk223_decl,type,
    sk223: $i ).

thf(sk1_def,definition,
    ( sk1
    = ( @+[A: $i] :
          ~ ( ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p1 )
                            & ! [C: $i] :
                                ( ( C @ p1 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p1 ) )
                        | ( B @ p2 )
                        | ( B @ p1 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p2 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p2 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p1 )
                                & ! [D: $i] :
                                    ( ( D @ p1 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p1 ) )
                            | ( C @ p2 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p1 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p2 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p2 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p1 )
                            & ! [C: $i] :
                                ( ( C @ p1 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p1 ) )
                        | ( B @ p2 )
                        | ! [C: $i] :
                            ( ( C @ p1 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p2 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p2 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p1 )
                        & ! [C: $i] :
                            ( ( C @ p1 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p1 ) )
                    | ( B @ p2 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p1 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p2 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p2 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p2 )
                            & ! [C: $i] :
                                ( ( C @ p2 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p2 ) )
                        | ( B @ p3 )
                        | ( B @ p2 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p3 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p3 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p2 )
                                & ! [D: $i] :
                                    ( ( D @ p2 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p2 ) )
                            | ( C @ p3 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p2 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p3 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p3 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p2 )
                            & ! [C: $i] :
                                ( ( C @ p2 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p2 ) )
                        | ( B @ p3 )
                        | ! [C: $i] :
                            ( ( C @ p2 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p3 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p3 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p2 )
                        & ! [C: $i] :
                            ( ( C @ p2 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p2 ) )
                    | ( B @ p3 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p2 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p3 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p3 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p3 )
                            & ! [C: $i] :
                                ( ( C @ p3 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p3 ) )
                        | ( B @ p4 )
                        | ( B @ p3 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p4 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p4 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p3 )
                                & ! [D: $i] :
                                    ( ( D @ p3 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p3 ) )
                            | ( C @ p4 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p3 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p4 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p4 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p3 )
                            & ! [C: $i] :
                                ( ( C @ p3 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p3 ) )
                        | ( B @ p4 )
                        | ! [C: $i] :
                            ( ( C @ p3 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p4 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p4 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p3 )
                        & ! [C: $i] :
                            ( ( C @ p3 )
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                                & ! [D: $i] :
                                    ( ( D @ p14 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p14 ) )
                            | ( C @ p15 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p14 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p15 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p15 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p14 )
                            & ! [C: $i] :
                                ( ( C @ p14 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p14 ) )
                        | ( B @ p15 )
                        | ! [C: $i] :
                            ( ( C @ p14 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p15 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p15 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p14 )
                        & ! [C: $i] :
                            ( ( C @ p14 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p14 ) )
                    | ( B @ p15 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p14 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p15 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p15 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p15 )
                            & ! [C: $i] :
                                ( ( C @ p15 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p15 ) )
                        | ( B @ p16 )
                        | ( B @ p15 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p16 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p16 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p15 )
                                & ! [D: $i] :
                                    ( ( D @ p15 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p15 ) )
                            | ( C @ p16 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p15 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p16 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p16 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p15 )
                            & ! [C: $i] :
                                ( ( C @ p15 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p15 ) )
                        | ( B @ p16 )
                        | ! [C: $i] :
                            ( ( C @ p15 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p16 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p16 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p15 )
                        & ! [C: $i] :
                            ( ( C @ p15 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p15 ) )
                    | ( B @ p16 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p15 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p16 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p16 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p16 )
                            & ! [C: $i] :
                                ( ( C @ p16 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p16 ) )
                        | ( B @ p17 )
                        | ( B @ p16 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p17 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p17 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p16 )
                                & ! [D: $i] :
                                    ( ( D @ p16 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p16 ) )
                            | ( C @ p17 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p16 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p17 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p17 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p16 )
                            & ! [C: $i] :
                                ( ( C @ p16 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p16 ) )
                        | ( B @ p17 )
                        | ! [C: $i] :
                            ( ( C @ p16 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p17 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p17 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p16 )
                        & ! [C: $i] :
                            ( ( C @ p16 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p16 ) )
                    | ( B @ p17 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p16 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p17 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p17 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p17 )
                            & ! [C: $i] :
                                ( ( C @ p17 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p17 ) )
                        | ( B @ p18 )
                        | ( B @ p17 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p18 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p18 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p17 )
                                & ! [D: $i] :
                                    ( ( D @ p17 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p17 ) )
                            | ( C @ p18 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p17 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p18 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p18 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p17 )
                            & ! [C: $i] :
                                ( ( C @ p17 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p17 ) )
                        | ( B @ p18 )
                        | ! [C: $i] :
                            ( ( C @ p17 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p18 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p18 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p17 )
                        & ! [C: $i] :
                            ( ( C @ p17 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p17 ) )
                    | ( B @ p18 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p17 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p18 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p18 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p18 )
                            & ! [C: $i] :
                                ( ( C @ p18 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p18 ) )
                        | ( B @ p19 )
                        | ( B @ p18 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p19 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p19 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p18 )
                                & ! [D: $i] :
                                    ( ( D @ p18 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p18 ) )
                            | ( C @ p19 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p18 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p19 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p19 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p18 )
                            & ! [C: $i] :
                                ( ( C @ p18 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p18 ) )
                        | ( B @ p19 )
                        | ! [C: $i] :
                            ( ( C @ p18 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p19 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p19 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p18 )
                        & ! [C: $i] :
                            ( ( C @ p18 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p18 ) )
                    | ( B @ p19 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p18 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p19 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p19 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p19 )
                            & ! [C: $i] :
                                ( ( C @ p19 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p19 ) )
                        | ( B @ p20 )
                        | ( B @ p19 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p20 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p20 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p19 )
                                & ! [D: $i] :
                                    ( ( D @ p19 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p19 ) )
                            | ( C @ p20 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p19 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p20 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p20 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p19 )
                            & ! [C: $i] :
                                ( ( C @ p19 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p19 ) )
                        | ( B @ p20 )
                        | ! [C: $i] :
                            ( ( C @ p19 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p20 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p20 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p19 )
                        & ! [C: $i] :
                            ( ( C @ p19 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p19 ) )
                    | ( B @ p20 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p19 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p20 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p20 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p20 )
                            & ! [C: $i] :
                                ( ( C @ p20 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p20 ) )
                        | ( B @ p21 )
                        | ( B @ p20 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p21 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p21 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p20 )
                                & ! [D: $i] :
                                    ( ( D @ p20 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p20 ) )
                            | ( C @ p21 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p20 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p21 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p21 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p20 )
                            & ! [C: $i] :
                                ( ( C @ p20 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p20 ) )
                        | ( B @ p21 )
                        | ! [C: $i] :
                            ( ( C @ p20 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p21 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p21 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p20 )
                        & ! [C: $i] :
                            ( ( C @ p20 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p20 ) )
                    | ( B @ p21 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p20 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p21 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p21 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) ) ) ) ) ).

thf(sk3_def,definition,
    ( sk3
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p21 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk5_def,definition,
    ( sk5
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p20 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk7_def,definition,
    ( sk7
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p20 )
                & ! [B: $i] :
                    ( ( B @ p20 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p20 ) )
            | ( A @ p21 )
            | ! [B: $i] :
                ( ( B @ p20 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p21 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p21 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk8_def,definition,
    ( sk8
    = ( @+[A: $i] :
          ~ ( ( A @ p20 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p21 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p21 ) )
            | ~ ( A @ ( sk7 @ r1 ) ) ) ) ) ).

thf(sk10_def,definition,
    ( sk10
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p20 )
                    & ! [C: $i] :
                        ( ( C @ p20 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p20 ) )
                | ( B @ p21 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p20 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p21 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p21 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk11_def,definition,
    ( sk11
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p20 )
                & ! [B: $i] :
                    ( ( B @ p20 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p20 ) )
            | ( A @ p21 )
            | ~ ( A @ ( sk10 @ r1 ) ) ) ) ) ).

thf(sk12_def,definition,
    ( sk12
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p20 )
                & ! [B: $i] :
                    ( ( B @ p20 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p20 ) )
            | ( A @ p21 )
            | ( A @ p20 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p21 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p21 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk14_def,definition,
    ( sk14
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p20 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk16_def,definition,
    ( sk16
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p19 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk18_def,definition,
    ( sk18
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p19 )
                & ! [B: $i] :
                    ( ( B @ p19 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p19 ) )
            | ( A @ p20 )
            | ! [B: $i] :
                ( ( B @ p19 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p20 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p20 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk19_def,definition,
    ( sk19
    = ( @+[A: $i] :
          ~ ( ( A @ p19 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p20 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p20 ) )
            | ~ ( A @ ( sk18 @ r1 ) ) ) ) ) ).

thf(sk21_def,definition,
    ( sk21
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p19 )
                    & ! [C: $i] :
                        ( ( C @ p19 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p19 ) )
                | ( B @ p20 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p19 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p20 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p20 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk22_def,definition,
    ( sk22
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p19 )
                & ! [B: $i] :
                    ( ( B @ p19 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p19 ) )
            | ( A @ p20 )
            | ~ ( A @ ( sk21 @ r1 ) ) ) ) ) ).

thf(sk23_def,definition,
    ( sk23
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p19 )
                & ! [B: $i] :
                    ( ( B @ p19 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p19 ) )
            | ( A @ p20 )
            | ( A @ p19 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p20 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p20 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk25_def,definition,
    ( sk25
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p19 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk27_def,definition,
    ( sk27
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p18 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk29_def,definition,
    ( sk29
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p18 )
                & ! [B: $i] :
                    ( ( B @ p18 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p18 ) )
            | ( A @ p19 )
            | ! [B: $i] :
                ( ( B @ p18 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p19 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p19 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk30_def,definition,
    ( sk30
    = ( @+[A: $i] :
          ~ ( ( A @ p18 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p19 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p19 ) )
            | ~ ( A @ ( sk29 @ r1 ) ) ) ) ) ).

thf(sk32_def,definition,
    ( sk32
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p18 )
                    & ! [C: $i] :
                        ( ( C @ p18 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p18 ) )
                | ( B @ p19 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p18 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p19 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p19 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk33_def,definition,
    ( sk33
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p18 )
                & ! [B: $i] :
                    ( ( B @ p18 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p18 ) )
            | ( A @ p19 )
            | ~ ( A @ ( sk32 @ r1 ) ) ) ) ) ).

thf(sk34_def,definition,
    ( sk34
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p18 )
                & ! [B: $i] :
                    ( ( B @ p18 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p18 ) )
            | ( A @ p19 )
            | ( A @ p18 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p19 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p19 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk36_def,definition,
    ( sk36
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p18 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk38_def,definition,
    ( sk38
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p17 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk40_def,definition,
    ( sk40
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p17 )
                & ! [B: $i] :
                    ( ( B @ p17 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p17 ) )
            | ( A @ p18 )
            | ! [B: $i] :
                ( ( B @ p17 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p18 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p18 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk41_def,definition,
    ( sk41
    = ( @+[A: $i] :
          ~ ( ( A @ p17 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p18 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p18 ) )
            | ~ ( A @ ( sk40 @ r1 ) ) ) ) ) ).

thf(sk43_def,definition,
    ( sk43
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p17 )
                    & ! [C: $i] :
                        ( ( C @ p17 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p17 ) )
                | ( B @ p18 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p17 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p18 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p18 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk44_def,definition,
    ( sk44
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p17 )
                & ! [B: $i] :
                    ( ( B @ p17 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p17 ) )
            | ( A @ p18 )
            | ~ ( A @ ( sk43 @ r1 ) ) ) ) ) ).

thf(sk45_def,definition,
    ( sk45
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p17 )
                & ! [B: $i] :
                    ( ( B @ p17 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p17 ) )
            | ( A @ p18 )
            | ( A @ p17 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p18 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p18 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk47_def,definition,
    ( sk47
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p17 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk49_def,definition,
    ( sk49
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p16 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk51_def,definition,
    ( sk51
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p16 )
                & ! [B: $i] :
                    ( ( B @ p16 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p16 ) )
            | ( A @ p17 )
            | ! [B: $i] :
                ( ( B @ p16 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p17 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p17 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk52_def,definition,
    ( sk52
    = ( @+[A: $i] :
          ~ ( ( A @ p16 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p17 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p17 ) )
            | ~ ( A @ ( sk51 @ r1 ) ) ) ) ) ).

thf(sk54_def,definition,
    ( sk54
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p16 )
                    & ! [C: $i] :
                        ( ( C @ p16 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p16 ) )
                | ( B @ p17 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p16 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p17 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p17 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk55_def,definition,
    ( sk55
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p16 )
                & ! [B: $i] :
                    ( ( B @ p16 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p16 ) )
            | ( A @ p17 )
            | ~ ( A @ ( sk54 @ r1 ) ) ) ) ) ).

thf(sk56_def,definition,
    ( sk56
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p16 )
                & ! [B: $i] :
                    ( ( B @ p16 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p16 ) )
            | ( A @ p17 )
            | ( A @ p16 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p17 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p17 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk58_def,definition,
    ( sk58
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p16 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk60_def,definition,
    ( sk60
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p15 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk62_def,definition,
    ( sk62
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p15 )
                & ! [B: $i] :
                    ( ( B @ p15 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p15 ) )
            | ( A @ p16 )
            | ! [B: $i] :
                ( ( B @ p15 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p16 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p16 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk63_def,definition,
    ( sk63
    = ( @+[A: $i] :
          ~ ( ( A @ p15 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p16 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p16 ) )
            | ~ ( A @ ( sk62 @ r1 ) ) ) ) ) ).

thf(sk65_def,definition,
    ( sk65
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p15 )
                    & ! [C: $i] :
                        ( ( C @ p15 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p15 ) )
                | ( B @ p16 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p15 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p16 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p16 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk66_def,definition,
    ( sk66
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p15 )
                & ! [B: $i] :
                    ( ( B @ p15 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p15 ) )
            | ( A @ p16 )
            | ~ ( A @ ( sk65 @ r1 ) ) ) ) ) ).

thf(sk67_def,definition,
    ( sk67
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p15 )
                & ! [B: $i] :
                    ( ( B @ p15 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p15 ) )
            | ( A @ p16 )
            | ( A @ p15 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p16 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p16 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk69_def,definition,
    ( sk69
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p15 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk71_def,definition,
    ( sk71
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p14 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk73_def,definition,
    ( sk73
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p14 )
                & ! [B: $i] :
                    ( ( B @ p14 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p14 ) )
            | ( A @ p15 )
            | ! [B: $i] :
                ( ( B @ p14 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p15 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p15 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk74_def,definition,
    ( sk74
    = ( @+[A: $i] :
          ~ ( ( A @ p14 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p15 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p15 ) )
            | ~ ( A @ ( sk73 @ r1 ) ) ) ) ) ).

thf(sk76_def,definition,
    ( sk76
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p14 )
                    & ! [C: $i] :
                        ( ( C @ p14 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p14 ) )
                | ( B @ p15 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p14 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p15 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p15 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk77_def,definition,
    ( sk77
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p14 )
                & ! [B: $i] :
                    ( ( B @ p14 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p14 ) )
            | ( A @ p15 )
            | ~ ( A @ ( sk76 @ r1 ) ) ) ) ) ).

thf(sk78_def,definition,
    ( sk78
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p14 )
                & ! [B: $i] :
                    ( ( B @ p14 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p14 ) )
            | ( A @ p15 )
            | ( A @ p14 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p15 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p15 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk80_def,definition,
    ( sk80
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p14 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk82_def,definition,
    ( sk82
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p13 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk84_def,definition,
    ( sk84
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p13 )
                & ! [B: $i] :
                    ( ( B @ p13 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p13 ) )
            | ( A @ p14 )
            | ! [B: $i] :
                ( ( B @ p13 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p14 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p14 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk85_def,definition,
    ( sk85
    = ( @+[A: $i] :
          ~ ( ( A @ p13 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p14 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p14 ) )
            | ~ ( A @ ( sk84 @ r1 ) ) ) ) ) ).

thf(sk87_def,definition,
    ( sk87
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p13 )
                    & ! [C: $i] :
                        ( ( C @ p13 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p13 ) )
                | ( B @ p14 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p13 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p14 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p14 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk88_def,definition,
    ( sk88
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p13 )
                & ! [B: $i] :
                    ( ( B @ p13 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p13 ) )
            | ( A @ p14 )
            | ~ ( A @ ( sk87 @ r1 ) ) ) ) ) ).

thf(sk89_def,definition,
    ( sk89
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p13 )
                & ! [B: $i] :
                    ( ( B @ p13 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p13 ) )
            | ( A @ p14 )
            | ( A @ p13 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p14 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p14 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk91_def,definition,
    ( sk91
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p13 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk93_def,definition,
    ( sk93
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p12 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk95_def,definition,
    ( sk95
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p12 )
                & ! [B: $i] :
                    ( ( B @ p12 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p12 ) )
            | ( A @ p13 )
            | ! [B: $i] :
                ( ( B @ p12 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p13 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p13 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk96_def,definition,
    ( sk96
    = ( @+[A: $i] :
          ~ ( ( A @ p12 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p13 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p13 ) )
            | ~ ( A @ ( sk95 @ r1 ) ) ) ) ) ).

thf(sk98_def,definition,
    ( sk98
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p12 )
                    & ! [C: $i] :
                        ( ( C @ p12 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p12 ) )
                | ( B @ p13 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p12 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p13 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p13 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk99_def,definition,
    ( sk99
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p12 )
                & ! [B: $i] :
                    ( ( B @ p12 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p12 ) )
            | ( A @ p13 )
            | ~ ( A @ ( sk98 @ r1 ) ) ) ) ) ).

thf(sk100_def,definition,
    ( sk100
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p12 )
                & ! [B: $i] :
                    ( ( B @ p12 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p12 ) )
            | ( A @ p13 )
            | ( A @ p12 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p13 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p13 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk102_def,definition,
    ( sk102
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p12 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk104_def,definition,
    ( sk104
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p11 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk106_def,definition,
    ( sk106
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p11 )
                & ! [B: $i] :
                    ( ( B @ p11 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p11 ) )
            | ( A @ p12 )
            | ! [B: $i] :
                ( ( B @ p11 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p12 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p12 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk107_def,definition,
    ( sk107
    = ( @+[A: $i] :
          ~ ( ( A @ p11 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p12 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p12 ) )
            | ~ ( A @ ( sk106 @ r1 ) ) ) ) ) ).

thf(sk109_def,definition,
    ( sk109
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p11 )
                    & ! [C: $i] :
                        ( ( C @ p11 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p11 ) )
                | ( B @ p12 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p11 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p12 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p12 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk110_def,definition,
    ( sk110
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p11 )
                & ! [B: $i] :
                    ( ( B @ p11 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p11 ) )
            | ( A @ p12 )
            | ~ ( A @ ( sk109 @ r1 ) ) ) ) ) ).

thf(sk111_def,definition,
    ( sk111
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p11 )
                & ! [B: $i] :
                    ( ( B @ p11 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p11 ) )
            | ( A @ p12 )
            | ( A @ p11 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p12 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p12 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk113_def,definition,
    ( sk113
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p11 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk115_def,definition,
    ( sk115
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p10 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk117_def,definition,
    ( sk117
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p10 )
                & ! [B: $i] :
                    ( ( B @ p10 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p10 ) )
            | ( A @ p11 )
            | ! [B: $i] :
                ( ( B @ p10 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p11 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p11 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk118_def,definition,
    ( sk118
    = ( @+[A: $i] :
          ~ ( ( A @ p10 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p11 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p11 ) )
            | ~ ( A @ ( sk117 @ r1 ) ) ) ) ) ).

thf(sk120_def,definition,
    ( sk120
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p10 )
                    & ! [C: $i] :
                        ( ( C @ p10 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p10 ) )
                | ( B @ p11 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p10 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p11 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p11 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk121_def,definition,
    ( sk121
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p10 )
                & ! [B: $i] :
                    ( ( B @ p10 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p10 ) )
            | ( A @ p11 )
            | ~ ( A @ ( sk120 @ r1 ) ) ) ) ) ).

thf(sk122_def,definition,
    ( sk122
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p10 )
                & ! [B: $i] :
                    ( ( B @ p10 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p10 ) )
            | ( A @ p11 )
            | ( A @ p10 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p11 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p11 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk124_def,definition,
    ( sk124
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p10 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk126_def,definition,
    ( sk126
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p9 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk128_def,definition,
    ( sk128
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p9 )
                & ! [B: $i] :
                    ( ( B @ p9 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p9 ) )
            | ( A @ p10 )
            | ! [B: $i] :
                ( ( B @ p9 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p10 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p10 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk129_def,definition,
    ( sk129
    = ( @+[A: $i] :
          ~ ( ( A @ p9 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p10 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p10 ) )
            | ~ ( A @ ( sk128 @ r1 ) ) ) ) ) ).

thf(sk131_def,definition,
    ( sk131
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p9 )
                    & ! [C: $i] :
                        ( ( C @ p9 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p9 ) )
                | ( B @ p10 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p9 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p10 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p10 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk132_def,definition,
    ( sk132
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p9 )
                & ! [B: $i] :
                    ( ( B @ p9 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p9 ) )
            | ( A @ p10 )
            | ~ ( A @ ( sk131 @ r1 ) ) ) ) ) ).

thf(sk133_def,definition,
    ( sk133
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p9 )
                & ! [B: $i] :
                    ( ( B @ p9 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p9 ) )
            | ( A @ p10 )
            | ( A @ p9 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p10 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p10 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk135_def,definition,
    ( sk135
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p9 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk137_def,definition,
    ( sk137
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p8 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk139_def,definition,
    ( sk139
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p8 )
                & ! [B: $i] :
                    ( ( B @ p8 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p8 ) )
            | ( A @ p9 )
            | ! [B: $i] :
                ( ( B @ p8 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p9 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p9 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk140_def,definition,
    ( sk140
    = ( @+[A: $i] :
          ~ ( ( A @ p8 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p9 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p9 ) )
            | ~ ( A @ ( sk139 @ r1 ) ) ) ) ) ).

thf(sk142_def,definition,
    ( sk142
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p8 )
                    & ! [C: $i] :
                        ( ( C @ p8 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p8 ) )
                | ( B @ p9 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p8 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p9 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p9 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk143_def,definition,
    ( sk143
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p8 )
                & ! [B: $i] :
                    ( ( B @ p8 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p8 ) )
            | ( A @ p9 )
            | ~ ( A @ ( sk142 @ r1 ) ) ) ) ) ).

thf(sk144_def,definition,
    ( sk144
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p8 )
                & ! [B: $i] :
                    ( ( B @ p8 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p8 ) )
            | ( A @ p9 )
            | ( A @ p8 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p9 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p9 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk146_def,definition,
    ( sk146
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p8 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk148_def,definition,
    ( sk148
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p7 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk150_def,definition,
    ( sk150
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p7 )
                & ! [B: $i] :
                    ( ( B @ p7 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p7 ) )
            | ( A @ p8 )
            | ! [B: $i] :
                ( ( B @ p7 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p8 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p8 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk151_def,definition,
    ( sk151
    = ( @+[A: $i] :
          ~ ( ( A @ p7 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p8 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p8 ) )
            | ~ ( A @ ( sk150 @ r1 ) ) ) ) ) ).

thf(sk153_def,definition,
    ( sk153
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p7 )
                    & ! [C: $i] :
                        ( ( C @ p7 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p7 ) )
                | ( B @ p8 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p7 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p8 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p8 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk154_def,definition,
    ( sk154
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p7 )
                & ! [B: $i] :
                    ( ( B @ p7 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p7 ) )
            | ( A @ p8 )
            | ~ ( A @ ( sk153 @ r1 ) ) ) ) ) ).

thf(sk155_def,definition,
    ( sk155
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p7 )
                & ! [B: $i] :
                    ( ( B @ p7 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p7 ) )
            | ( A @ p8 )
            | ( A @ p7 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p8 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p8 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk156_def,definition,
    ( sk156
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p20 )
                & ! [B: $i] :
                    ( ( B @ p20 )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ( A @ p20 )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk157_def,definition,
    ( sk157
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p20 )
                & ! [B: $i] :
                    ( ( B @ p20 )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ( A @ p20 )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk159_def,definition,
    ( sk159
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p7 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk161_def,definition,
    ( sk161
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p6 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk163_def,definition,
    ( sk163
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p6 )
                & ! [B: $i] :
                    ( ( B @ p6 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p6 ) )
            | ( A @ p7 )
            | ! [B: $i] :
                ( ( B @ p6 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p7 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p7 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk164_def,definition,
    ( sk164
    = ( @+[A: $i] :
          ~ ( ( A @ p6 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p7 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p7 ) )
            | ~ ( A @ ( sk163 @ r1 ) ) ) ) ) ).

thf(sk166_def,definition,
    ( sk166
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p6 )
                    & ! [C: $i] :
                        ( ( C @ p6 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p6 ) )
                | ( B @ p7 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p6 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p7 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p7 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk167_def,definition,
    ( sk167
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p6 )
                & ! [B: $i] :
                    ( ( B @ p6 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p6 ) )
            | ( A @ p7 )
            | ~ ( A @ ( sk166 @ r1 ) ) ) ) ) ).

thf(sk168_def,definition,
    ( sk168
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p6 )
                & ! [B: $i] :
                    ( ( B @ p6 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p6 ) )
            | ( A @ p7 )
            | ( A @ p6 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p7 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p7 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk170_def,definition,
    ( sk170
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p6 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk172_def,definition,
    ( sk172
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p5 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk174_def,definition,
    ( sk174
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p5 )
                & ! [B: $i] :
                    ( ( B @ p5 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p5 ) )
            | ( A @ p6 )
            | ! [B: $i] :
                ( ( B @ p5 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p6 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p6 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk175_def,definition,
    ( sk175
    = ( @+[A: $i] :
          ~ ( ( A @ p5 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p6 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p6 ) )
            | ~ ( A @ ( sk174 @ r1 ) ) ) ) ) ).

thf(sk177_def,definition,
    ( sk177
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p5 )
                    & ! [C: $i] :
                        ( ( C @ p5 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p5 ) )
                | ( B @ p6 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p5 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p6 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p6 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk178_def,definition,
    ( sk178
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p5 )
                & ! [B: $i] :
                    ( ( B @ p5 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p5 ) )
            | ( A @ p6 )
            | ~ ( A @ ( sk177 @ r1 ) ) ) ) ) ).

thf(sk179_def,definition,
    ( sk179
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p5 )
                & ! [B: $i] :
                    ( ( B @ p5 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p5 ) )
            | ( A @ p6 )
            | ( A @ p5 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p6 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p6 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk181_def,definition,
    ( sk181
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p5 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk183_def,definition,
    ( sk183
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p4 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk185_def,definition,
    ( sk185
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p4 )
                & ! [B: $i] :
                    ( ( B @ p4 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p4 ) )
            | ( A @ p5 )
            | ! [B: $i] :
                ( ( B @ p4 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p5 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p5 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk186_def,definition,
    ( sk186
    = ( @+[A: $i] :
          ~ ( ( A @ p4 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p5 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p5 ) )
            | ~ ( A @ ( sk185 @ r1 ) ) ) ) ) ).

thf(sk188_def,definition,
    ( sk188
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p4 )
                    & ! [C: $i] :
                        ( ( C @ p4 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p4 ) )
                | ( B @ p5 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p4 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p5 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p5 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk189_def,definition,
    ( sk189
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p4 )
                & ! [B: $i] :
                    ( ( B @ p4 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p4 ) )
            | ( A @ p5 )
            | ~ ( A @ ( sk188 @ r1 ) ) ) ) ) ).

thf(sk190_def,definition,
    ( sk190
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p4 )
                & ! [B: $i] :
                    ( ( B @ p4 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p4 ) )
            | ( A @ p5 )
            | ( A @ p4 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p5 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p5 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk192_def,definition,
    ( sk192
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p4 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk194_def,definition,
    ( sk194
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p3 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk196_def,definition,
    ( sk196
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p3 )
                & ! [B: $i] :
                    ( ( B @ p3 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p3 ) )
            | ( A @ p4 )
            | ! [B: $i] :
                ( ( B @ p3 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p4 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p4 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk197_def,definition,
    ( sk197
    = ( @+[A: $i] :
          ~ ( ( A @ p3 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p4 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p4 ) )
            | ~ ( A @ ( sk196 @ r1 ) ) ) ) ) ).

thf(sk199_def,definition,
    ( sk199
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p3 )
                    & ! [C: $i] :
                        ( ( C @ p3 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p3 ) )
                | ( B @ p4 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p3 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p4 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p4 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk200_def,definition,
    ( sk200
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p3 )
                & ! [B: $i] :
                    ( ( B @ p3 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p3 ) )
            | ( A @ p4 )
            | ~ ( A @ ( sk199 @ r1 ) ) ) ) ) ).

thf(sk201_def,definition,
    ( sk201
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p3 )
                & ! [B: $i] :
                    ( ( B @ p3 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p3 ) )
            | ( A @ p4 )
            | ( A @ p3 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p4 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p4 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk203_def,definition,
    ( sk203
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p3 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk205_def,definition,
    ( sk205
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p2 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk207_def,definition,
    ( sk207
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p2 )
                & ! [B: $i] :
                    ( ( B @ p2 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p2 ) )
            | ( A @ p3 )
            | ! [B: $i] :
                ( ( B @ p2 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p3 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p3 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk208_def,definition,
    ( sk208
    = ( @+[A: $i] :
          ~ ( ( A @ p2 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p3 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p3 ) )
            | ~ ( A @ ( sk207 @ r1 ) ) ) ) ) ).

thf(sk210_def,definition,
    ( sk210
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p2 )
                    & ! [C: $i] :
                        ( ( C @ p2 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p2 ) )
                | ( B @ p3 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p2 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p3 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p3 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk211_def,definition,
    ( sk211
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p2 )
                & ! [B: $i] :
                    ( ( B @ p2 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p2 ) )
            | ( A @ p3 )
            | ~ ( A @ ( sk210 @ r1 ) ) ) ) ) ).

thf(sk212_def,definition,
    ( sk212
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p2 )
                & ! [B: $i] :
                    ( ( B @ p2 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p2 ) )
            | ( A @ p3 )
            | ( A @ p2 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p3 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p3 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk214_def,definition,
    ( sk214
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p2 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk216_def,definition,
    ( sk216
    = ( ^ [A: $i] :
        @+[B: $i] :
          ~ ( ( B @ p1 )
            | ~ ( B @ ( A @ r1 ) ) ) ) ) ).

thf(sk218_def,definition,
    ( sk218
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p1 )
                & ! [B: $i] :
                    ( ( B @ p1 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p1 ) )
            | ( A @ p2 )
            | ! [B: $i] :
                ( ( B @ p1 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p2 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p2 ) )
                | ~ ( B @ ( A @ r1 ) ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk219_def,definition,
    ( sk219
    = ( @+[A: $i] :
          ~ ( ( A @ p1 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p2 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p2 ) )
            | ~ ( A @ ( sk218 @ r1 ) ) ) ) ) ).

thf(sk221_def,definition,
    ( sk221
    = ( @+[A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( ( B @ p1 )
                    & ! [C: $i] :
                        ( ( C @ p1 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p1 ) )
                | ( B @ p2 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ( A @ p1 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p2 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p2 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(sk222_def,definition,
    ( sk222
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p1 )
                & ! [B: $i] :
                    ( ( B @ p1 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p1 ) )
            | ( A @ p2 )
            | ~ ( A @ ( sk221 @ r1 ) ) ) ) ) ).

thf(sk223_def,definition,
    ( sk223
    = ( @+[A: $i] :
          ~ ( ~ ( ( A @ p1 )
                & ! [B: $i] :
                    ( ( B @ p1 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p1 ) )
            | ( A @ p2 )
            | ( A @ p1 )
            | ~ ( ! [B: $i] :
                    ( ( B @ p2 )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ( A @ p2 ) )
            | ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).

thf(1,conjecture,
    ~ ? [A: $i] :
        ~ ( ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p1 )
                          & ! [C: $i] :
                              ( ( C @ p1 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p1 ) )
                      | ( B @ p2 )
                      | ( B @ p1 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p2 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p2 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p1 )
                              & ! [D: $i] :
                                  ( ( D @ p1 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p1 ) )
                          | ( C @ p2 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p1 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p2 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p2 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p1 )
                          & ! [C: $i] :
                              ( ( C @ p1 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p1 ) )
                      | ( B @ p2 )
                      | ! [C: $i] :
                          ( ( C @ p1 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p2 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p2 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p1 )
                      & ! [C: $i] :
                          ( ( C @ p1 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p1 ) )
                  | ( B @ p2 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p1 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p2 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p2 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p2 )
                          & ! [C: $i] :
                              ( ( C @ p2 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p2 ) )
                      | ( B @ p3 )
                      | ( B @ p2 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p3 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p3 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p2 )
                              & ! [D: $i] :
                                  ( ( D @ p2 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p2 ) )
                          | ( C @ p3 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p2 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p3 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p3 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p2 )
                          & ! [C: $i] :
                              ( ( C @ p2 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p2 ) )
                      | ( B @ p3 )
                      | ! [C: $i] :
                          ( ( C @ p2 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p3 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p3 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p2 )
                      & ! [C: $i] :
                          ( ( C @ p2 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p2 ) )
                  | ( B @ p3 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p2 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p3 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p3 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p3 )
                          & ! [C: $i] :
                              ( ( C @ p3 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p3 ) )
                      | ( B @ p4 )
                      | ( B @ p3 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p4 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p4 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p3 )
                              & ! [D: $i] :
                                  ( ( D @ p3 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p3 ) )
                          | ( C @ p4 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p3 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p4 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p4 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p3 )
                          & ! [C: $i] :
                              ( ( C @ p3 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p3 ) )
                      | ( B @ p4 )
                      | ! [C: $i] :
                          ( ( C @ p3 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p4 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p4 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p3 )
                      & ! [C: $i] :
                          ( ( C @ p3 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p3 ) )
                  | ( B @ p4 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p3 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p4 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p4 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p4 )
                          & ! [C: $i] :
                              ( ( C @ p4 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p4 ) )
                      | ( B @ p5 )
                      | ( B @ p4 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p5 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p5 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p4 )
                              & ! [D: $i] :
                                  ( ( D @ p4 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p4 ) )
                          | ( C @ p5 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p4 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p5 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p5 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p4 )
                          & ! [C: $i] :
                              ( ( C @ p4 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p4 ) )
                      | ( B @ p5 )
                      | ! [C: $i] :
                          ( ( C @ p4 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p5 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p5 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p4 )
                      & ! [C: $i] :
                          ( ( C @ p4 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p4 ) )
                  | ( B @ p5 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p4 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p5 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p5 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p5 )
                          & ! [C: $i] :
                              ( ( C @ p5 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p5 ) )
                      | ( B @ p6 )
                      | ( B @ p5 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p6 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p6 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p5 )
                              & ! [D: $i] :
                                  ( ( D @ p5 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p5 ) )
                          | ( C @ p6 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p5 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p6 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p6 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p5 )
                          & ! [C: $i] :
                              ( ( C @ p5 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p5 ) )
                      | ( B @ p6 )
                      | ! [C: $i] :
                          ( ( C @ p5 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p6 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p6 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p5 )
                      & ! [C: $i] :
                          ( ( C @ p5 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p5 ) )
                  | ( B @ p6 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p5 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p6 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p6 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p6 )
                          & ! [C: $i] :
                              ( ( C @ p6 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p6 ) )
                      | ( B @ p7 )
                      | ( B @ p6 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p7 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p7 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p6 )
                              & ! [D: $i] :
                                  ( ( D @ p6 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p6 ) )
                          | ( C @ p7 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p6 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p7 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p7 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p6 )
                          & ! [C: $i] :
                              ( ( C @ p6 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p6 ) )
                      | ( B @ p7 )
                      | ! [C: $i] :
                          ( ( C @ p6 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p7 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p7 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p6 )
                      & ! [C: $i] :
                          ( ( C @ p6 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p6 ) )
                  | ( B @ p7 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p6 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p7 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p7 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ! [B: $i] :
              ( ~ ( ( B @ p20 )
                  & ! [C: $i] :
                      ( ( C @ p20 )
                      | ~ ( C @ ( B @ r1 ) ) ) )
              | ( B @ p20 )
              | ~ ( B @ ( A @ r1 ) ) )
          | ! [B: $i] :
              ( ~ ( ( B @ p20 )
                  & ! [C: $i] :
                      ( ( C @ p20 )
                      | ~ ( C @ ( B @ r1 ) ) ) )
              | ( B @ p20 )
              | ~ ( B @ ( A @ r1 ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p7 )
                          & ! [C: $i] :
                              ( ( C @ p7 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p7 ) )
                      | ( B @ p8 )
                      | ( B @ p7 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p8 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p8 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p7 )
                              & ! [D: $i] :
                                  ( ( D @ p7 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p7 ) )
                          | ( C @ p8 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p7 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p8 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p8 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p7 )
                          & ! [C: $i] :
                              ( ( C @ p7 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p7 ) )
                      | ( B @ p8 )
                      | ! [C: $i] :
                          ( ( C @ p7 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p8 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p8 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p7 )
                      & ! [C: $i] :
                          ( ( C @ p7 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p7 ) )
                  | ( B @ p8 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p7 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p8 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p8 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p8 )
                          & ! [C: $i] :
                              ( ( C @ p8 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p8 ) )
                      | ( B @ p9 )
                      | ( B @ p8 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p9 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p9 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p8 )
                              & ! [D: $i] :
                                  ( ( D @ p8 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p8 ) )
                          | ( C @ p9 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p8 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p9 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p9 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p8 )
                          & ! [C: $i] :
                              ( ( C @ p8 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p8 ) )
                      | ( B @ p9 )
                      | ! [C: $i] :
                          ( ( C @ p8 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p9 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p9 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p8 )
                      & ! [C: $i] :
                          ( ( C @ p8 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p8 ) )
                  | ( B @ p9 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p8 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p9 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p9 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p9 )
                          & ! [C: $i] :
                              ( ( C @ p9 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p9 ) )
                      | ( B @ p10 )
                      | ( B @ p9 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p10 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p10 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p9 )
                              & ! [D: $i] :
                                  ( ( D @ p9 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p9 ) )
                          | ( C @ p10 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p9 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p10 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p10 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p9 )
                          & ! [C: $i] :
                              ( ( C @ p9 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p9 ) )
                      | ( B @ p10 )
                      | ! [C: $i] :
                          ( ( C @ p9 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p10 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p10 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p9 )
                      & ! [C: $i] :
                          ( ( C @ p9 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p9 ) )
                  | ( B @ p10 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p9 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p10 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p10 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p10 )
                          & ! [C: $i] :
                              ( ( C @ p10 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p10 ) )
                      | ( B @ p11 )
                      | ( B @ p10 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p11 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p11 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p10 )
                              & ! [D: $i] :
                                  ( ( D @ p10 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p10 ) )
                          | ( C @ p11 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p10 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p11 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p11 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p10 )
                          & ! [C: $i] :
                              ( ( C @ p10 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p10 ) )
                      | ( B @ p11 )
                      | ! [C: $i] :
                          ( ( C @ p10 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p11 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p11 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p10 )
                      & ! [C: $i] :
                          ( ( C @ p10 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p10 ) )
                  | ( B @ p11 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p10 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p11 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p11 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p11 )
                          & ! [C: $i] :
                              ( ( C @ p11 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p11 ) )
                      | ( B @ p12 )
                      | ( B @ p11 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p12 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p12 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p11 )
                              & ! [D: $i] :
                                  ( ( D @ p11 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p11 ) )
                          | ( C @ p12 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p11 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p12 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p12 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p11 )
                          & ! [C: $i] :
                              ( ( C @ p11 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p11 ) )
                      | ( B @ p12 )
                      | ! [C: $i] :
                          ( ( C @ p11 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p12 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p12 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p11 )
                      & ! [C: $i] :
                          ( ( C @ p11 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p11 ) )
                  | ( B @ p12 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p11 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p12 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p12 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p12 )
                          & ! [C: $i] :
                              ( ( C @ p12 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p12 ) )
                      | ( B @ p13 )
                      | ( B @ p12 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p13 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p13 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p12 )
                              & ! [D: $i] :
                                  ( ( D @ p12 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p12 ) )
                          | ( C @ p13 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p12 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p13 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p13 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p12 )
                          & ! [C: $i] :
                              ( ( C @ p12 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p12 ) )
                      | ( B @ p13 )
                      | ! [C: $i] :
                          ( ( C @ p12 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p13 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p13 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p12 )
                      & ! [C: $i] :
                          ( ( C @ p12 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p12 ) )
                  | ( B @ p13 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p12 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p13 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p13 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p13 )
                          & ! [C: $i] :
                              ( ( C @ p13 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p13 ) )
                      | ( B @ p14 )
                      | ( B @ p13 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p14 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p14 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p13 )
                              & ! [D: $i] :
                                  ( ( D @ p13 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p13 ) )
                          | ( C @ p14 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p13 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p14 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p14 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p13 )
                          & ! [C: $i] :
                              ( ( C @ p13 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p13 ) )
                      | ( B @ p14 )
                      | ! [C: $i] :
                          ( ( C @ p13 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p14 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p14 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p13 )
                      & ! [C: $i] :
                          ( ( C @ p13 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p13 ) )
                  | ( B @ p14 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p13 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p14 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p14 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p14 )
                          & ! [C: $i] :
                              ( ( C @ p14 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p14 ) )
                      | ( B @ p15 )
                      | ( B @ p14 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p15 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p15 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p14 )
                              & ! [D: $i] :
                                  ( ( D @ p14 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p14 ) )
                          | ( C @ p15 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p14 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p15 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p15 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p14 )
                          & ! [C: $i] :
                              ( ( C @ p14 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p14 ) )
                      | ( B @ p15 )
                      | ! [C: $i] :
                          ( ( C @ p14 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p15 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p15 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p14 )
                      & ! [C: $i] :
                          ( ( C @ p14 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p14 ) )
                  | ( B @ p15 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p14 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p15 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p15 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p15 )
                          & ! [C: $i] :
                              ( ( C @ p15 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p15 ) )
                      | ( B @ p16 )
                      | ( B @ p15 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p16 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p16 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p15 )
                              & ! [D: $i] :
                                  ( ( D @ p15 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p15 ) )
                          | ( C @ p16 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p15 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p16 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p16 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p15 )
                          & ! [C: $i] :
                              ( ( C @ p15 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p15 ) )
                      | ( B @ p16 )
                      | ! [C: $i] :
                          ( ( C @ p15 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p16 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p16 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p15 )
                      & ! [C: $i] :
                          ( ( C @ p15 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p15 ) )
                  | ( B @ p16 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p15 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p16 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p16 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p16 )
                          & ! [C: $i] :
                              ( ( C @ p16 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p16 ) )
                      | ( B @ p17 )
                      | ( B @ p16 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p17 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p17 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p16 )
                              & ! [D: $i] :
                                  ( ( D @ p16 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p16 ) )
                          | ( C @ p17 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p16 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p17 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p17 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p16 )
                          & ! [C: $i] :
                              ( ( C @ p16 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p16 ) )
                      | ( B @ p17 )
                      | ! [C: $i] :
                          ( ( C @ p16 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p17 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p17 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p16 )
                      & ! [C: $i] :
                          ( ( C @ p16 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p16 ) )
                  | ( B @ p17 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p16 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p17 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p17 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p17 )
                          & ! [C: $i] :
                              ( ( C @ p17 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p17 ) )
                      | ( B @ p18 )
                      | ( B @ p17 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p18 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p18 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p17 )
                              & ! [D: $i] :
                                  ( ( D @ p17 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p17 ) )
                          | ( C @ p18 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p17 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p18 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p18 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p17 )
                          & ! [C: $i] :
                              ( ( C @ p17 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p17 ) )
                      | ( B @ p18 )
                      | ! [C: $i] :
                          ( ( C @ p17 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p18 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p18 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p17 )
                      & ! [C: $i] :
                          ( ( C @ p17 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p17 ) )
                  | ( B @ p18 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p17 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p18 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p18 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p18 )
                          & ! [C: $i] :
                              ( ( C @ p18 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p18 ) )
                      | ( B @ p19 )
                      | ( B @ p18 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p19 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p19 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p18 )
                              & ! [D: $i] :
                                  ( ( D @ p18 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p18 ) )
                          | ( C @ p19 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p18 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p19 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p19 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p18 )
                          & ! [C: $i] :
                              ( ( C @ p18 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p18 ) )
                      | ( B @ p19 )
                      | ! [C: $i] :
                          ( ( C @ p18 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p19 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p19 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p18 )
                      & ! [C: $i] :
                          ( ( C @ p18 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p18 ) )
                  | ( B @ p19 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p18 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p19 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p19 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p19 )
                          & ! [C: $i] :
                              ( ( C @ p19 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p19 ) )
                      | ( B @ p20 )
                      | ( B @ p19 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p20 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p20 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p19 )
                              & ! [D: $i] :
                                  ( ( D @ p19 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p19 ) )
                          | ( C @ p20 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p19 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p20 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p20 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p19 )
                          & ! [C: $i] :
                              ( ( C @ p19 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p19 ) )
                      | ( B @ p20 )
                      | ! [C: $i] :
                          ( ( C @ p19 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p20 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p20 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p19 )
                      & ! [C: $i] :
                          ( ( C @ p19 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p19 ) )
                  | ( B @ p20 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p19 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p20 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p20 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) )
          | ~ ( ~ ( ! [B: $i] :
                      ( ~ ( ( B @ p20 )
                          & ! [C: $i] :
                              ( ( C @ p20 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p20 ) )
                      | ( B @ p21 )
                      | ( B @ p20 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p21 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p21 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ! [C: $i] :
                          ( ~ ( ( C @ p20 )
                              & ! [D: $i] :
                                  ( ( D @ p20 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p20 ) )
                          | ( C @ p21 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ( B @ p20 )
                      | ~ ( ! [C: $i] :
                              ( ( C @ p21 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p21 ) )
                      | ~ ( B @ ( A @ r1 ) ) )
                  & ! [B: $i] :
                      ( ~ ( ( B @ p20 )
                          & ! [C: $i] :
                              ( ( C @ p20 )
                              | ~ ( C @ ( B @ r1 ) ) )
                          & ( B @ p20 ) )
                      | ( B @ p21 )
                      | ! [C: $i] :
                          ( ( C @ p20 )
                          | ~ ( ! [D: $i] :
                                  ( ( D @ p21 )
                                  | ~ ( D @ ( C @ r1 ) ) )
                              & ( C @ p21 ) )
                          | ~ ( C @ ( B @ r1 ) ) )
                      | ~ ( B @ ( A @ r1 ) ) ) )
              | ! [B: $i] :
                  ( ~ ( ( B @ p20 )
                      & ! [C: $i] :
                          ( ( C @ p20 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p20 ) )
                  | ( B @ p21 )
                  | ~ ( B @ ( A @ r1 ) ) )
              | ! [B: $i] :
                  ( ( B @ p20 )
                  | ~ ( ! [C: $i] :
                          ( ( C @ p21 )
                          | ~ ( C @ ( B @ r1 ) ) )
                      & ( B @ p21 ) )
                  | ~ ( B @ ( A @ r1 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

thf(2,negated_conjecture,
    ~ ~ ? [A: $i] :
          ~ ( ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p1 )
                            & ! [C: $i] :
                                ( ( C @ p1 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p1 ) )
                        | ( B @ p2 )
                        | ( B @ p1 )
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                        | ! [C: $i] :
                            ( ( C @ p11 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p12 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p12 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p11 )
                        & ! [C: $i] :
                            ( ( C @ p11 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p11 ) )
                    | ( B @ p12 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p11 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p12 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p12 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p12 )
                            & ! [C: $i] :
                                ( ( C @ p12 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p12 ) )
                        | ( B @ p13 )
                        | ( B @ p12 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p13 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p13 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p12 )
                                & ! [D: $i] :
                                    ( ( D @ p12 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p12 ) )
                            | ( C @ p13 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p12 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p13 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p13 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p12 )
                            & ! [C: $i] :
                                ( ( C @ p12 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p12 ) )
                        | ( B @ p13 )
                        | ! [C: $i] :
                            ( ( C @ p12 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p13 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p13 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p12 )
                        & ! [C: $i] :
                            ( ( C @ p12 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p12 ) )
                    | ( B @ p13 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p12 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p13 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p13 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p13 )
                            & ! [C: $i] :
                                ( ( C @ p13 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p13 ) )
                        | ( B @ p14 )
                        | ( B @ p13 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p14 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p14 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p13 )
                                & ! [D: $i] :
                                    ( ( D @ p13 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p13 ) )
                            | ( C @ p14 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p13 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p14 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p14 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p13 )
                            & ! [C: $i] :
                                ( ( C @ p13 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p13 ) )
                        | ( B @ p14 )
                        | ! [C: $i] :
                            ( ( C @ p13 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p14 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p14 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p13 )
                        & ! [C: $i] :
                            ( ( C @ p13 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p13 ) )
                    | ( B @ p14 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p13 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p14 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p14 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p14 )
                            & ! [C: $i] :
                                ( ( C @ p14 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p14 ) )
                        | ( B @ p15 )
                        | ( B @ p14 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p15 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p15 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p14 )
                                & ! [D: $i] :
                                    ( ( D @ p14 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p14 ) )
                            | ( C @ p15 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p14 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p15 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p15 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p14 )
                            & ! [C: $i] :
                                ( ( C @ p14 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p14 ) )
                        | ( B @ p15 )
                        | ! [C: $i] :
                            ( ( C @ p14 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p15 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p15 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p14 )
                        & ! [C: $i] :
                            ( ( C @ p14 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p14 ) )
                    | ( B @ p15 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p14 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p15 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p15 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p15 )
                            & ! [C: $i] :
                                ( ( C @ p15 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p15 ) )
                        | ( B @ p16 )
                        | ( B @ p15 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p16 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p16 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p15 )
                                & ! [D: $i] :
                                    ( ( D @ p15 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p15 ) )
                            | ( C @ p16 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p15 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p16 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p16 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p15 )
                            & ! [C: $i] :
                                ( ( C @ p15 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p15 ) )
                        | ( B @ p16 )
                        | ! [C: $i] :
                            ( ( C @ p15 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p16 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p16 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p15 )
                        & ! [C: $i] :
                            ( ( C @ p15 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p15 ) )
                    | ( B @ p16 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p15 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p16 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p16 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p16 )
                            & ! [C: $i] :
                                ( ( C @ p16 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p16 ) )
                        | ( B @ p17 )
                        | ( B @ p16 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p17 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p17 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p16 )
                                & ! [D: $i] :
                                    ( ( D @ p16 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p16 ) )
                            | ( C @ p17 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p16 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p17 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p17 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p16 )
                            & ! [C: $i] :
                                ( ( C @ p16 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p16 ) )
                        | ( B @ p17 )
                        | ! [C: $i] :
                            ( ( C @ p16 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p17 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p17 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p16 )
                        & ! [C: $i] :
                            ( ( C @ p16 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p16 ) )
                    | ( B @ p17 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p16 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p17 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p17 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p17 )
                            & ! [C: $i] :
                                ( ( C @ p17 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p17 ) )
                        | ( B @ p18 )
                        | ( B @ p17 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p18 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p18 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p17 )
                                & ! [D: $i] :
                                    ( ( D @ p17 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p17 ) )
                            | ( C @ p18 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p17 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p18 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p18 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p17 )
                            & ! [C: $i] :
                                ( ( C @ p17 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p17 ) )
                        | ( B @ p18 )
                        | ! [C: $i] :
                            ( ( C @ p17 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p18 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p18 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p17 )
                        & ! [C: $i] :
                            ( ( C @ p17 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p17 ) )
                    | ( B @ p18 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p17 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p18 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p18 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p18 )
                            & ! [C: $i] :
                                ( ( C @ p18 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p18 ) )
                        | ( B @ p19 )
                        | ( B @ p18 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p19 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p19 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p18 )
                                & ! [D: $i] :
                                    ( ( D @ p18 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p18 ) )
                            | ( C @ p19 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p18 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p19 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p19 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p18 )
                            & ! [C: $i] :
                                ( ( C @ p18 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p18 ) )
                        | ( B @ p19 )
                        | ! [C: $i] :
                            ( ( C @ p18 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p19 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p19 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p18 )
                        & ! [C: $i] :
                            ( ( C @ p18 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p18 ) )
                    | ( B @ p19 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p18 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p19 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p19 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p19 )
                            & ! [C: $i] :
                                ( ( C @ p19 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p19 ) )
                        | ( B @ p20 )
                        | ( B @ p19 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p20 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p20 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p19 )
                                & ! [D: $i] :
                                    ( ( D @ p19 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p19 ) )
                            | ( C @ p20 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p19 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p20 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p20 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p19 )
                            & ! [C: $i] :
                                ( ( C @ p19 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p19 ) )
                        | ( B @ p20 )
                        | ! [C: $i] :
                            ( ( C @ p19 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p20 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p20 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p19 )
                        & ! [C: $i] :
                            ( ( C @ p19 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p19 ) )
                    | ( B @ p20 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p19 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p20 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p20 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p20 )
                            & ! [C: $i] :
                                ( ( C @ p20 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p20 ) )
                        | ( B @ p21 )
                        | ( B @ p20 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p21 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p21 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p20 )
                                & ! [D: $i] :
                                    ( ( D @ p20 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p20 ) )
                            | ( C @ p21 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p20 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p21 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p21 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p20 )
                            & ! [C: $i] :
                                ( ( C @ p20 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p20 ) )
                        | ( B @ p21 )
                        | ! [C: $i] :
                            ( ( C @ p20 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p21 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p21 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p20 )
                        & ! [C: $i] :
                            ( ( C @ p20 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p20 ) )
                    | ( B @ p21 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p20 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p21 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p21 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ~ ? [A: $i] :
          ~ ( ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p1 )
                            & ! [C: $i] :
                                ( ( C @ p1 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p1 ) )
                        | ( B @ p2 )
                        | ( B @ p1 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p2 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p2 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p1 )
                                & ! [D: $i] :
                                    ( ( D @ p1 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p1 ) )
                            | ( C @ p2 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p1 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p2 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p2 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p1 )
                            & ! [C: $i] :
                                ( ( C @ p1 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p1 ) )
                        | ( B @ p2 )
                        | ! [C: $i] :
                            ( ( C @ p1 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p2 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p2 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p1 )
                        & ! [C: $i] :
                            ( ( C @ p1 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p1 ) )
                    | ( B @ p2 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p1 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p2 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p2 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p2 )
                            & ! [C: $i] :
                                ( ( C @ p2 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p2 ) )
                        | ( B @ p3 )
                        | ( B @ p2 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p3 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p3 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p2 )
                                & ! [D: $i] :
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                | ! [B: $i] :
                    ( ~ ( ( B @ p12 )
                        & ! [C: $i] :
                            ( ( C @ p12 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p12 ) )
                    | ( B @ p13 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p12 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p13 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p13 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p13 )
                            & ! [C: $i] :
                                ( ( C @ p13 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p13 ) )
                        | ( B @ p14 )
                        | ( B @ p13 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p14 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p14 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p13 )
                                & ! [D: $i] :
                                    ( ( D @ p13 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p13 ) )
                            | ( C @ p14 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p13 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p14 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p14 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p13 )
                            & ! [C: $i] :
                                ( ( C @ p13 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p13 ) )
                        | ( B @ p14 )
                        | ! [C: $i] :
                            ( ( C @ p13 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p14 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p14 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p13 )
                        & ! [C: $i] :
                            ( ( C @ p13 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p13 ) )
                    | ( B @ p14 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p13 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p14 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p14 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p14 )
                            & ! [C: $i] :
                                ( ( C @ p14 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p14 ) )
                        | ( B @ p15 )
                        | ( B @ p14 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p15 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p15 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p14 )
                                & ! [D: $i] :
                                    ( ( D @ p14 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p14 ) )
                            | ( C @ p15 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p14 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p15 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p15 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p14 )
                            & ! [C: $i] :
                                ( ( C @ p14 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p14 ) )
                        | ( B @ p15 )
                        | ! [C: $i] :
                            ( ( C @ p14 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p15 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p15 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p14 )
                        & ! [C: $i] :
                            ( ( C @ p14 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p14 ) )
                    | ( B @ p15 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p14 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p15 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p15 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p15 )
                            & ! [C: $i] :
                                ( ( C @ p15 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p15 ) )
                        | ( B @ p16 )
                        | ( B @ p15 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p16 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p16 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p15 )
                                & ! [D: $i] :
                                    ( ( D @ p15 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p15 ) )
                            | ( C @ p16 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p15 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p16 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p16 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p15 )
                            & ! [C: $i] :
                                ( ( C @ p15 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p15 ) )
                        | ( B @ p16 )
                        | ! [C: $i] :
                            ( ( C @ p15 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p16 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p16 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p15 )
                        & ! [C: $i] :
                            ( ( C @ p15 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p15 ) )
                    | ( B @ p16 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p15 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p16 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p16 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p16 )
                            & ! [C: $i] :
                                ( ( C @ p16 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p16 ) )
                        | ( B @ p17 )
                        | ( B @ p16 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p17 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p17 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p16 )
                                & ! [D: $i] :
                                    ( ( D @ p16 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p16 ) )
                            | ( C @ p17 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p16 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p17 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p17 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p16 )
                            & ! [C: $i] :
                                ( ( C @ p16 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p16 ) )
                        | ( B @ p17 )
                        | ! [C: $i] :
                            ( ( C @ p16 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p17 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p17 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p16 )
                        & ! [C: $i] :
                            ( ( C @ p16 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p16 ) )
                    | ( B @ p17 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p16 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p17 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p17 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p17 )
                            & ! [C: $i] :
                                ( ( C @ p17 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p17 ) )
                        | ( B @ p18 )
                        | ( B @ p17 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p18 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p18 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p17 )
                                & ! [D: $i] :
                                    ( ( D @ p17 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p17 ) )
                            | ( C @ p18 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p17 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p18 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p18 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p17 )
                            & ! [C: $i] :
                                ( ( C @ p17 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p17 ) )
                        | ( B @ p18 )
                        | ! [C: $i] :
                            ( ( C @ p17 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p18 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p18 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p17 )
                        & ! [C: $i] :
                            ( ( C @ p17 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p17 ) )
                    | ( B @ p18 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p17 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p18 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p18 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p18 )
                            & ! [C: $i] :
                                ( ( C @ p18 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p18 ) )
                        | ( B @ p19 )
                        | ( B @ p18 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p19 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p19 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p18 )
                                & ! [D: $i] :
                                    ( ( D @ p18 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p18 ) )
                            | ( C @ p19 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p18 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p19 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p19 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p18 )
                            & ! [C: $i] :
                                ( ( C @ p18 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p18 ) )
                        | ( B @ p19 )
                        | ! [C: $i] :
                            ( ( C @ p18 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p19 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p19 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p18 )
                        & ! [C: $i] :
                            ( ( C @ p18 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p18 ) )
                    | ( B @ p19 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p18 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p19 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p19 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p19 )
                            & ! [C: $i] :
                                ( ( C @ p19 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p19 ) )
                        | ( B @ p20 )
                        | ( B @ p19 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p20 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p20 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p19 )
                                & ! [D: $i] :
                                    ( ( D @ p19 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p19 ) )
                            | ( C @ p20 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p19 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p20 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p20 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p19 )
                            & ! [C: $i] :
                                ( ( C @ p19 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p19 ) )
                        | ( B @ p20 )
                        | ! [C: $i] :
                            ( ( C @ p19 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p20 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p20 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p19 )
                        & ! [C: $i] :
                            ( ( C @ p19 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p19 ) )
                    | ( B @ p20 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p19 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p20 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p20 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ~ ( ~ ( ! [B: $i] :
                        ( ~ ( ( B @ p20 )
                            & ! [C: $i] :
                                ( ( C @ p20 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p20 ) )
                        | ( B @ p21 )
                        | ( B @ p20 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p21 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p21 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ! [C: $i] :
                            ( ~ ( ( C @ p20 )
                                & ! [D: $i] :
                                    ( ( D @ p20 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p20 ) )
                            | ( C @ p21 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ( B @ p20 )
                        | ~ ( ! [C: $i] :
                                ( ( C @ p21 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p21 ) )
                        | ~ ( B @ ( A @ r1 ) ) )
                    & ! [B: $i] :
                        ( ~ ( ( B @ p20 )
                            & ! [C: $i] :
                                ( ( C @ p20 )
                                | ~ ( C @ ( B @ r1 ) ) )
                            & ( B @ p20 ) )
                        | ( B @ p21 )
                        | ! [C: $i] :
                            ( ( C @ p20 )
                            | ~ ( ! [D: $i] :
                                    ( ( D @ p21 )
                                    | ~ ( D @ ( C @ r1 ) ) )
                                & ( C @ p21 ) )
                            | ~ ( C @ ( B @ r1 ) ) )
                        | ~ ( B @ ( A @ r1 ) ) ) )
                | ! [B: $i] :
                    ( ~ ( ( B @ p20 )
                        & ! [C: $i] :
                            ( ( C @ p20 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p20 ) )
                    | ( B @ p21 )
                    | ~ ( B @ ( A @ r1 ) ) )
                | ! [B: $i] :
                    ( ( B @ p20 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p21 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p21 ) )
                    | ~ ( B @ ( A @ r1 ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    ? [A: $i] :
      ~ ( ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p1 )
                        & ! [C: $i] :
                            ( ( C @ p1 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p1 ) )
                    | ( B @ p2 )
                    | ( B @ p1 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p2 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p2 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p1 )
                            & ! [D: $i] :
                                ( ( D @ p1 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p1 ) )
                        | ( C @ p2 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p1 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p2 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p2 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ~ ( ( B @ p1 )
                        & ! [C: $i] :
                            ( ( C @ p1 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p1 ) )
                    | ( B @ p2 )
                    | ! [C: $i] :
                        ( ( C @ p1 )
                        | ~ ( ! [D: $i] :
                                ( ( D @ p2 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p2 ) )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ! [B: $i] :
                ( ~ ( ( B @ p1 )
                    & ! [C: $i] :
                        ( ( C @ p1 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p1 ) )
                | ( B @ p2 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p1 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p2 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p2 ) )
                | ~ ( B @ ( A @ r1 ) ) ) )
        | ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p2 )
                        & ! [C: $i] :
                            ( ( C @ p2 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p2 ) )
                    | ( B @ p3 )
                    | ( B @ p2 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p3 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p3 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p2 )
                            & ! [D: $i] :
                                ( ( D @ p2 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p2 ) )
                        | ( C @ p3 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p2 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p3 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p3 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ~ ( ( B @ p2 )
                        & ! [C: $i] :
                            ( ( C @ p2 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p2 ) )
                    | ( B @ p3 )
                    | ! [C: $i] :
                        ( ( C @ p2 )
                        | ~ ( ! [D: $i] :
                                ( ( D @ p3 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p3 ) )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ! [B: $i] :
                ( ~ ( ( B @ p2 )
                    & ! [C: $i] :
                        ( ( C @ p2 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p2 ) )
                | ( B @ p3 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p2 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p3 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p3 ) )
                | ~ ( B @ ( A @ r1 ) ) ) )
        | ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p3 )
                        & ! [C: $i] :
                            ( ( C @ p3 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p3 ) )
                    | ( B @ p4 )
                    | ( B @ p3 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p4 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p4 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p3 )
                            & ! [D: $i] :
                                ( ( D @ p3 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p3 ) )
                        | ( C @ p4 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p3 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p4 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p4 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
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                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p15 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p14 )
                            & ! [D: $i] :
                                ( ( D @ p14 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p14 ) )
                        | ( C @ p15 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p14 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p15 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p15 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ~ ( ( B @ p14 )
                        & ! [C: $i] :
                            ( ( C @ p14 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p14 ) )
                    | ( B @ p15 )
                    | ! [C: $i] :
                        ( ( C @ p14 )
                        | ~ ( ! [D: $i] :
                                ( ( D @ p15 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p15 ) )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ! [B: $i] :
                ( ~ ( ( B @ p14 )
                    & ! [C: $i] :
                        ( ( C @ p14 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p14 ) )
                | ( B @ p15 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p14 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p15 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p15 ) )
                | ~ ( B @ ( A @ r1 ) ) ) )
        | ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p15 )
                        & ! [C: $i] :
                            ( ( C @ p15 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p15 ) )
                    | ( B @ p16 )
                    | ( B @ p15 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p16 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p16 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p15 )
                            & ! [D: $i] :
                                ( ( D @ p15 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p15 ) )
                        | ( C @ p16 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p15 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p16 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p16 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ~ ( ( B @ p15 )
                        & ! [C: $i] :
                            ( ( C @ p15 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p15 ) )
                    | ( B @ p16 )
                    | ! [C: $i] :
                        ( ( C @ p15 )
                        | ~ ( ! [D: $i] :
                                ( ( D @ p16 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p16 ) )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ! [B: $i] :
                ( ~ ( ( B @ p15 )
                    & ! [C: $i] :
                        ( ( C @ p15 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p15 ) )
                | ( B @ p16 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p15 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p16 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p16 ) )
                | ~ ( B @ ( A @ r1 ) ) ) )
        | ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p16 )
                        & ! [C: $i] :
                            ( ( C @ p16 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p16 ) )
                    | ( B @ p17 )
                    | ( B @ p16 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p17 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p17 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p16 )
                            & ! [D: $i] :
                                ( ( D @ p16 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p16 ) )
                        | ( C @ p17 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p16 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p17 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p17 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ~ ( ( B @ p16 )
                        & ! [C: $i] :
                            ( ( C @ p16 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p16 ) )
                    | ( B @ p17 )
                    | ! [C: $i] :
                        ( ( C @ p16 )
                        | ~ ( ! [D: $i] :
                                ( ( D @ p17 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p17 ) )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ! [B: $i] :
                ( ~ ( ( B @ p16 )
                    & ! [C: $i] :
                        ( ( C @ p16 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p16 ) )
                | ( B @ p17 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p16 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p17 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p17 ) )
                | ~ ( B @ ( A @ r1 ) ) ) )
        | ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p17 )
                        & ! [C: $i] :
                            ( ( C @ p17 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p17 ) )
                    | ( B @ p18 )
                    | ( B @ p17 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p18 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p18 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p17 )
                            & ! [D: $i] :
                                ( ( D @ p17 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p17 ) )
                        | ( C @ p18 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p17 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p18 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p18 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ~ ( ( B @ p17 )
                        & ! [C: $i] :
                            ( ( C @ p17 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p17 ) )
                    | ( B @ p18 )
                    | ! [C: $i] :
                        ( ( C @ p17 )
                        | ~ ( ! [D: $i] :
                                ( ( D @ p18 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p18 ) )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ! [B: $i] :
                ( ~ ( ( B @ p17 )
                    & ! [C: $i] :
                        ( ( C @ p17 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p17 ) )
                | ( B @ p18 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p17 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p18 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p18 ) )
                | ~ ( B @ ( A @ r1 ) ) ) )
        | ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p18 )
                        & ! [C: $i] :
                            ( ( C @ p18 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p18 ) )
                    | ( B @ p19 )
                    | ( B @ p18 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p19 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p19 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p18 )
                            & ! [D: $i] :
                                ( ( D @ p18 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p18 ) )
                        | ( C @ p19 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p18 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p19 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p19 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ~ ( ( B @ p18 )
                        & ! [C: $i] :
                            ( ( C @ p18 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p18 ) )
                    | ( B @ p19 )
                    | ! [C: $i] :
                        ( ( C @ p18 )
                        | ~ ( ! [D: $i] :
                                ( ( D @ p19 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p19 ) )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ! [B: $i] :
                ( ~ ( ( B @ p18 )
                    & ! [C: $i] :
                        ( ( C @ p18 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p18 ) )
                | ( B @ p19 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p18 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p19 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p19 ) )
                | ~ ( B @ ( A @ r1 ) ) ) )
        | ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p19 )
                        & ! [C: $i] :
                            ( ( C @ p19 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p19 ) )
                    | ( B @ p20 )
                    | ( B @ p19 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p20 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p20 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p19 )
                            & ! [D: $i] :
                                ( ( D @ p19 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p19 ) )
                        | ( C @ p20 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p19 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p20 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p20 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ~ ( ( B @ p19 )
                        & ! [C: $i] :
                            ( ( C @ p19 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p19 ) )
                    | ( B @ p20 )
                    | ! [C: $i] :
                        ( ( C @ p19 )
                        | ~ ( ! [D: $i] :
                                ( ( D @ p20 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p20 ) )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ! [B: $i] :
                ( ~ ( ( B @ p19 )
                    & ! [C: $i] :
                        ( ( C @ p19 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p19 ) )
                | ( B @ p20 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p19 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p20 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p20 ) )
                | ~ ( B @ ( A @ r1 ) ) ) )
        | ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p20 )
                        & ! [C: $i] :
                            ( ( C @ p20 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p20 ) )
                    | ( B @ p21 )
                    | ( B @ p20 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p21 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p21 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p20 )
                            & ! [D: $i] :
                                ( ( D @ p20 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p20 ) )
                        | ( C @ p21 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p20 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p21 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p21 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ~ ( ( B @ p20 )
                        & ! [C: $i] :
                            ( ( C @ p20 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p20 ) )
                    | ( B @ p21 )
                    | ! [C: $i] :
                        ( ( C @ p20 )
                        | ~ ( ! [D: $i] :
                                ( ( D @ p21 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p21 ) )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ! [B: $i] :
                ( ~ ( ( B @ p20 )
                    & ! [C: $i] :
                        ( ( C @ p20 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p20 ) )
                | ( B @ p21 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p20 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p21 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p21 ) )
                | ~ ( B @ ( A @ r1 ) ) ) ) ),
    inference(polarity_switch,[status(thm)],[3]) ).

thf(5,plain,
    ~ ! [A: $i] :
        ( ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p1 )
                        & ! [C: $i] :
                            ( ( C @ p1 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p1 ) )
                    | ( B @ p2 )
                    | ( B @ p1 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p2 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p2 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p1 )
                            & ! [D: $i] :
                                ( ( D @ p1 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p1 ) )
                        | ( C @ p2 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p1 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p2 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p2 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ~ ( ( B @ p1 )
                        & ! [C: $i] :
                            ( ( C @ p1 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p1 ) )
                    | ( B @ p2 )
                    | ! [C: $i] :
                        ( ( C @ p1 )
                        | ~ ( ! [D: $i] :
                                ( ( D @ p2 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p2 ) )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ! [B: $i] :
                ( ~ ( ( B @ p1 )
                    & ! [C: $i] :
                        ( ( C @ p1 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p1 ) )
                | ( B @ p2 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p1 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p2 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p2 ) )
                | ~ ( B @ ( A @ r1 ) ) ) )
        | ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p2 )
                        & ! [C: $i] :
                            ( ( C @ p2 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p2 ) )
                    | ( B @ p3 )
                    | ( B @ p2 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p3 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p3 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p2 )
                            & ! [D: $i] :
                                ( ( D @ p2 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p2 ) )
                        | ( C @ p3 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p2 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p3 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p3 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ~ ( ( B @ p2 )
                        & ! [C: $i] :
                            ( ( C @ p2 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p2 ) )
                    | ( B @ p3 )
                    | ! [C: $i] :
                        ( ( C @ p2 )
                        | ~ ( ! [D: $i] :
                                ( ( D @ p3 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p3 ) )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ! [B: $i] :
                ( ~ ( ( B @ p2 )
                    & ! [C: $i] :
                        ( ( C @ p2 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p2 ) )
                | ( B @ p3 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p2 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p3 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p3 ) )
                | ~ ( B @ ( A @ r1 ) ) ) )
        | ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p3 )
                        & ! [C: $i] :
                            ( ( C @ p3 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p3 ) )
                    | ( B @ p4 )
                    | ( B @ p3 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p4 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p4 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p3 )
                            & ! [D: $i] :
                                ( ( D @ p3 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p3 ) )
                        | ( C @ p4 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p3 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p4 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p4 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ~ ( ( B @ p3 )
                        & ! [C: $i] :
                            ( ( C @ p3 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p3 ) )
                    | ( B @ p4 )
                    | ! [C: $i] :
                        ( ( C @ p3 )
                        | ~ ( ! [D: $i] :
                                ( ( D @ p4 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p4 ) )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ! [B: $i] :
                ( ~ ( ( B @ p3 )
                    & ! [C: $i] :
                        ( ( C @ p3 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p3 ) )
                | ( B @ p4 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p3 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p4 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p4 ) )
                | ~ ( B @ ( A @ r1 ) ) ) )
        | ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p4 )
                        & ! [C: $i] :
                            ( ( C @ p4 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p4 ) )
                    | ( B @ p5 )
                    | ( B @ p4 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p5 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p5 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p4 )
                            & ! [D: $i] :
                                ( ( D @ p4 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p4 ) )
                        | ( C @ p5 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p4 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p5 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p5 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ~ ( ( B @ p4 )
                        & ! [C: $i] :
                            ( ( C @ p4 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p4 ) )
                    | ( B @ p5 )
                    | ! [C: $i] :
                        ( ( C @ p4 )
                        | ~ ( ! [D: $i] :
                                ( ( D @ p5 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p5 ) )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ! [B: $i] :
                ( ~ ( ( B @ p4 )
                    & ! [C: $i] :
                        ( ( C @ p4 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p4 ) )
                | ( B @ p5 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p4 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p5 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p5 ) )
                | ~ ( B @ ( A @ r1 ) ) ) )
        | ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p5 )
                        & ! [C: $i] :
                            ( ( C @ p5 )
                            | ~ ( C @ ( B @ r1 ) ) )
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                    & ! [C: $i] :
                        ( ( C @ p15 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p15 ) )
                | ( B @ p16 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p15 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p16 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p16 ) )
                | ~ ( B @ ( A @ r1 ) ) ) )
        | ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p16 )
                        & ! [C: $i] :
                            ( ( C @ p16 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p16 ) )
                    | ( B @ p17 )
                    | ( B @ p16 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p17 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p17 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p16 )
                            & ! [D: $i] :
                                ( ( D @ p16 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p16 ) )
                        | ( C @ p17 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p16 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p17 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p17 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ~ ( ( B @ p16 )
                        & ! [C: $i] :
                            ( ( C @ p16 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p16 ) )
                    | ( B @ p17 )
                    | ! [C: $i] :
                        ( ( C @ p16 )
                        | ~ ( ! [D: $i] :
                                ( ( D @ p17 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p17 ) )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ! [B: $i] :
                ( ~ ( ( B @ p16 )
                    & ! [C: $i] :
                        ( ( C @ p16 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p16 ) )
                | ( B @ p17 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p16 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p17 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p17 ) )
                | ~ ( B @ ( A @ r1 ) ) ) )
        | ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p17 )
                        & ! [C: $i] :
                            ( ( C @ p17 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p17 ) )
                    | ( B @ p18 )
                    | ( B @ p17 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p18 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p18 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p17 )
                            & ! [D: $i] :
                                ( ( D @ p17 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p17 ) )
                        | ( C @ p18 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p17 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p18 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p18 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ~ ( ( B @ p17 )
                        & ! [C: $i] :
                            ( ( C @ p17 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p17 ) )
                    | ( B @ p18 )
                    | ! [C: $i] :
                        ( ( C @ p17 )
                        | ~ ( ! [D: $i] :
                                ( ( D @ p18 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p18 ) )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ! [B: $i] :
                ( ~ ( ( B @ p17 )
                    & ! [C: $i] :
                        ( ( C @ p17 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p17 ) )
                | ( B @ p18 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p17 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p18 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p18 ) )
                | ~ ( B @ ( A @ r1 ) ) ) )
        | ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p18 )
                        & ! [C: $i] :
                            ( ( C @ p18 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p18 ) )
                    | ( B @ p19 )
                    | ( B @ p18 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p19 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p19 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p18 )
                            & ! [D: $i] :
                                ( ( D @ p18 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p18 ) )
                        | ( C @ p19 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p18 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p19 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p19 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ~ ( ( B @ p18 )
                        & ! [C: $i] :
                            ( ( C @ p18 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p18 ) )
                    | ( B @ p19 )
                    | ! [C: $i] :
                        ( ( C @ p18 )
                        | ~ ( ! [D: $i] :
                                ( ( D @ p19 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p19 ) )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ! [B: $i] :
                ( ~ ( ( B @ p18 )
                    & ! [C: $i] :
                        ( ( C @ p18 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p18 ) )
                | ( B @ p19 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p18 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p19 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p19 ) )
                | ~ ( B @ ( A @ r1 ) ) ) )
        | ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p19 )
                        & ! [C: $i] :
                            ( ( C @ p19 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p19 ) )
                    | ( B @ p20 )
                    | ( B @ p19 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p20 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p20 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p19 )
                            & ! [D: $i] :
                                ( ( D @ p19 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p19 ) )
                        | ( C @ p20 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p19 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p20 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p20 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ~ ( ( B @ p19 )
                        & ! [C: $i] :
                            ( ( C @ p19 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p19 ) )
                    | ( B @ p20 )
                    | ! [C: $i] :
                        ( ( C @ p19 )
                        | ~ ( ! [D: $i] :
                                ( ( D @ p20 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p20 ) )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ! [B: $i] :
                ( ~ ( ( B @ p19 )
                    & ! [C: $i] :
                        ( ( C @ p19 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p19 ) )
                | ( B @ p20 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p19 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p20 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p20 ) )
                | ~ ( B @ ( A @ r1 ) ) ) )
        | ~ ( ~ ( ! [B: $i] :
                    ( ~ ( ( B @ p20 )
                        & ! [C: $i] :
                            ( ( C @ p20 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p20 ) )
                    | ( B @ p21 )
                    | ( B @ p20 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p21 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p21 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ! [C: $i] :
                        ( ~ ( ( C @ p20 )
                            & ! [D: $i] :
                                ( ( D @ p20 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p20 ) )
                        | ( C @ p21 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ( B @ p20 )
                    | ~ ( ! [C: $i] :
                            ( ( C @ p21 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p21 ) )
                    | ~ ( B @ ( A @ r1 ) ) )
                & ! [B: $i] :
                    ( ~ ( ( B @ p20 )
                        & ! [C: $i] :
                            ( ( C @ p20 )
                            | ~ ( C @ ( B @ r1 ) ) )
                        & ( B @ p20 ) )
                    | ( B @ p21 )
                    | ! [C: $i] :
                        ( ( C @ p20 )
                        | ~ ( ! [D: $i] :
                                ( ( D @ p21 )
                                | ~ ( D @ ( C @ r1 ) ) )
                            & ( C @ p21 ) )
                        | ~ ( C @ ( B @ r1 ) ) )
                    | ~ ( B @ ( A @ r1 ) ) ) )
            | ! [B: $i] :
                ( ~ ( ( B @ p20 )
                    & ! [C: $i] :
                        ( ( C @ p20 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p20 ) )
                | ( B @ p21 )
                | ~ ( B @ ( A @ r1 ) ) )
            | ! [B: $i] :
                ( ( B @ p20 )
                | ~ ( ! [C: $i] :
                        ( ( C @ p21 )
                        | ~ ( C @ ( B @ r1 ) ) )
                    & ( B @ p21 ) )
                | ~ ( B @ ( A @ r1 ) ) ) ) ),
    inference(miniscope,[status(thm)],[4]) ).

thf(6,plain,
    ! [ZZZZZZF: $i,ZZZZZZE: $i,ZZZZZZD: $i,ZZZZZZC: $i,ZZZZZZB: $i,ZZZZZZA: $i,ZZZZZZ: $i,ZZZZZY: $i,ZZZZZX: $i,ZZZZZW: $i,ZZZZZV: $i,ZZZZZU: $i,ZZZZZT: $i,ZZZZZS: $i,ZZZZZR: $i,ZZZZZQ: $i,ZZZZZP: $i,ZZZZZO: $i,ZZZZZN: $i,ZZZZZM: $i,ZZZZZL: $i,ZZZZZK: $i,ZZZZZJ: $i,ZZZZZI: $i,ZZZZZH: $i,ZZZZZG: $i,ZZZZZF: $i,ZZZZZE: $i,ZZZZZD: $i,ZZZZZC: $i,ZZZZZB: $i,ZZZZZA: $i,ZZZZZ: $i,ZZZZY: $i,ZZZZX: $i,ZZZZW: $i,ZZZZV: $i,ZZZZU: $i,ZZZZT: $i,ZZZZS: $i,ZZZZR: $i,ZZZZQ: $i,ZZZZP: $i,ZZZZO: $i,ZZZZN: $i,ZZZZM: $i,ZZZZL: $i,ZZZZK: $i,ZZZZJ: $i,ZZZZI: $i,ZZZZH: $i,ZZZZG: $i,ZZZZF: $i,ZZZZE: $i,ZZZZD: $i,ZZZZC: $i,ZZZZB: $i,ZZZZA: $i,ZZZZ: $i,ZZZY: $i,ZZZX: $i,ZZZW: $i,ZZZV: $i,ZZZU: $i,ZZZT: $i,ZZZS: $i,ZZZR: $i,ZZZQ: $i,ZZZP: $i,ZZZO: $i,ZZZN: $i,ZZZM: $i,ZZZL: $i,ZZZK: $i,ZZZJ: $i,ZZZI: $i,ZZZH: $i,ZZZG: $i,ZZZF: $i,ZZZE: $i,ZZZD: $i,ZZZC: $i,ZZZB: $i,ZZZA: $i,ZZZ: $i,ZZY: $i,ZZX: $i,ZZW: $i,ZZV: $i,ZZU: $i,ZZT: $i,ZZS: $i,ZZR: $i,ZZQ: $i,ZZP: $i,ZZO: $i,ZZN: $i,ZZM: $i,ZZL: $i,ZZK: $i,ZZJ: $i,ZZI: $i,ZZH: $i,ZZG: $i,ZZF: $i,ZZE: $i,ZZD: $i,ZZC: $i,ZZB: $i,ZZA: $i,ZZ: $i,ZY: $i,ZX: $i,ZW: $i,ZV: $i,ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,ZL: $i,ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( sk223 @ p1 )
        | sk220
        | sk217
        | ~ sk215
        | ~ sk213 )
      & ( ( ZZZZZZF @ p1 )
        | ~ ( ZZZZZZF @ ( sk223 @ r1 ) )
        | sk220
        | sk217
        | ~ sk215
        | ~ sk213 )
      & ( ( sk223 @ p1 )
        | sk220
        | sk217
        | ~ sk215
        | ~ sk213 )
      & ( ~ ( sk223 @ p2 )
        | sk220
        | sk217
        | ~ sk215
        | ~ sk213 )
      & ( ~ ( sk223 @ p1 )
        | sk220
        | sk217
        | ~ sk215
        | ~ sk213 )
      & ( ( ZZZZZZE @ p2 )
        | ~ ( ZZZZZZE @ ( sk223 @ r1 ) )
        | sk220
        | sk217
        | ~ sk215
        | ~ sk213 )
      & ( ( sk223 @ p2 )
        | sk220
        | sk217
        | ~ sk215
        | ~ sk213 )
      & ( ( sk223 @ ( sk1 @ r1 ) )
        | sk220
        | sk217
        | ~ sk215
        | ~ sk213 )
      & ( ~ sk220
        | ( sk222 @ p1 )
        | sk217
        | ~ sk215
        | ~ sk213 )
      & ( ~ sk220
        | ( ZZZZZZD @ p1 )
        | ~ ( ZZZZZZD @ ( sk222 @ r1 ) )
        | sk217
        | ~ sk215
        | ~ sk213 )
      & ( ~ sk220
        | ( sk222 @ p1 )
        | sk217
        | ~ sk215
        | ~ sk213 )
      & ( ~ sk220
        | ~ ( sk222 @ p2 )
        | sk217
        | ~ sk215
        | ~ sk213 )
      & ( ~ sk220
        | ( sk222 @ ( sk221 @ r1 ) )
        | sk217
        | ~ sk215
        | ~ sk213 )
      & ( ~ sk220
        | ~ ( sk221 @ p1 )
        | sk217
        | ~ sk215
        | ~ sk213 )
      & ( ~ sk220
        | ( ZZZZZZC @ p2 )
        | ~ ( ZZZZZZC @ ( sk221 @ r1 ) )
        | sk217
        | ~ sk215
        | ~ sk213 )
      & ( ~ sk220
        | ( sk221 @ p2 )
        | sk217
        | ~ sk215
        | ~ sk213 )
      & ( ~ sk220
        | ( sk221 @ ( sk1 @ r1 ) )
        | sk217
        | ~ sk215
        | ~ sk213 )
      & ( ~ sk217
        | ( sk218 @ p1 )
        | ~ sk215
        | ~ sk213 )
      & ( ~ sk217
        | ( ZZZZZZB @ p1 )
        | ~ ( ZZZZZZB @ ( sk218 @ r1 ) )
        | ~ sk215
        | ~ sk213 )
      & ( ~ sk217
        | ( sk218 @ p1 )
        | ~ sk215
        | ~ sk213 )
      & ( ~ sk217
        | ~ ( sk218 @ p2 )
        | ~ sk215
        | ~ sk213 )
      & ( ~ sk217
        | ~ ( sk219 @ p1 )
        | ~ sk215
        | ~ sk213 )
      & ( ~ sk217
        | ( ZZZZZZA @ p2 )
        | ~ ( ZZZZZZA @ ( sk219 @ r1 ) )
        | ~ sk215
        | ~ sk213 )
      & ( ~ sk217
        | ( sk219 @ p2 )
        | ~ sk215
        | ~ sk213 )
      & ( ~ sk217
        | ( sk219 @ ( sk218 @ r1 ) )
        | ~ sk215
        | ~ sk213 )
      & ( ~ sk217
        | ( sk218 @ ( sk1 @ r1 ) )
        | ~ sk215
        | ~ sk213 )
      & ( sk215
        | ~ ( ZZZZZZ @ p1 )
        | ~ ( ZZZZZZ @ sk216 @ p1 )
        | ~ ( ZZZZZZ @ p1 )
        | ( ZZZZZZ @ p2 )
        | ~ ( ZZZZZZ @ ( sk1 @ r1 ) )
        | ~ sk213 )
      & ( sk215
        | ~ ( ZZZZZZ @ p1 )
        | ( ZZZZZZ @ sk216 @ ( ZZZZZZ @ r1 ) )
        | ~ ( ZZZZZZ @ p1 )
        | ( ZZZZZZ @ p2 )
        | ~ ( ZZZZZZ @ ( sk1 @ r1 ) )
        | ~ sk213 )
      & ( sk213
        | ( ZZZZZY @ p1 )
        | ~ ( ZZZZZY @ sk214 @ p2 )
        | ~ ( ZZZZZY @ p2 )
        | ~ ( ZZZZZY @ ( sk1 @ r1 ) ) )
      & ( sk213
        | ( ZZZZZY @ p1 )
        | ( ZZZZZY @ sk214 @ ( ZZZZZY @ r1 ) )
        | ~ ( ZZZZZY @ p2 )
        | ~ ( ZZZZZY @ ( sk1 @ r1 ) ) )
      & ( ( sk212 @ p2 )
        | sk209
        | sk206
        | ~ sk204
        | ~ sk202 )
      & ( ( ZZZZZX @ p2 )
        | ~ ( ZZZZZX @ ( sk212 @ r1 ) )
        | sk209
        | sk206
        | ~ sk204
        | ~ sk202 )
      & ( ( sk212 @ p2 )
        | sk209
        | sk206
        | ~ sk204
        | ~ sk202 )
      & ( ~ ( sk212 @ p3 )
        | sk209
        | sk206
        | ~ sk204
        | ~ sk202 )
      & ( ~ ( sk212 @ p2 )
        | sk209
        | sk206
        | ~ sk204
        | ~ sk202 )
      & ( ( ZZZZZW @ p3 )
        | ~ ( ZZZZZW @ ( sk212 @ r1 ) )
        | sk209
        | sk206
        | ~ sk204
        | ~ sk202 )
      & ( ( sk212 @ p3 )
        | sk209
        | sk206
        | ~ sk204
        | ~ sk202 )
      & ( ( sk212 @ ( sk1 @ r1 ) )
        | sk209
        | sk206
        | ~ sk204
        | ~ sk202 )
      & ( ~ sk209
        | ( sk211 @ p2 )
        | sk206
        | ~ sk204
        | ~ sk202 )
      & ( ~ sk209
        | ( ZZZZZV @ p2 )
        | ~ ( ZZZZZV @ ( sk211 @ r1 ) )
        | sk206
        | ~ sk204
        | ~ sk202 )
      & ( ~ sk209
        | ( sk211 @ p2 )
        | sk206
        | ~ sk204
        | ~ sk202 )
      & ( ~ sk209
        | ~ ( sk211 @ p3 )
        | sk206
        | ~ sk204
        | ~ sk202 )
      & ( ~ sk209
        | ( sk211 @ ( sk210 @ r1 ) )
        | sk206
        | ~ sk204
        | ~ sk202 )
      & ( ~ sk209
        | ~ ( sk210 @ p2 )
        | sk206
        | ~ sk204
        | ~ sk202 )
      & ( ~ sk209
        | ( ZZZZZU @ p3 )
        | ~ ( ZZZZZU @ ( sk210 @ r1 ) )
        | sk206
        | ~ sk204
        | ~ sk202 )
      & ( ~ sk209
        | ( sk210 @ p3 )
        | sk206
        | ~ sk204
        | ~ sk202 )
      & ( ~ sk209
        | ( sk210 @ ( sk1 @ r1 ) )
        | sk206
        | ~ sk204
        | ~ sk202 )
      & ( ~ sk206
        | ( sk207 @ p2 )
        | ~ sk204
        | ~ sk202 )
      & ( ~ sk206
        | ( ZZZZZT @ p2 )
        | ~ ( ZZZZZT @ ( sk207 @ r1 ) )
        | ~ sk204
        | ~ sk202 )
      & ( ~ sk206
        | ( sk207 @ p2 )
        | ~ sk204
        | ~ sk202 )
      & ( ~ sk206
        | ~ ( sk207 @ p3 )
        | ~ sk204
        | ~ sk202 )
      & ( ~ sk206
        | ~ ( sk208 @ p2 )
        | ~ sk204
        | ~ sk202 )
      & ( ~ sk206
        | ( ZZZZZS @ p3 )
        | ~ ( ZZZZZS @ ( sk208 @ r1 ) )
        | ~ sk204
        | ~ sk202 )
      & ( ~ sk206
        | ( sk208 @ p3 )
        | ~ sk204
        | ~ sk202 )
      & ( ~ sk206
        | ( sk208 @ ( sk207 @ r1 ) )
        | ~ sk204
        | ~ sk202 )
      & ( ~ sk206
        | ( sk207 @ ( sk1 @ r1 ) )
        | ~ sk204
        | ~ sk202 )
      & ( sk204
        | ~ ( ZZZZZR @ p2 )
        | ~ ( ZZZZZR @ sk205 @ p2 )
        | ~ ( ZZZZZR @ p2 )
        | ( ZZZZZR @ p3 )
        | ~ ( ZZZZZR @ ( sk1 @ r1 ) )
        | ~ sk202 )
      & ( sk204
        | ~ ( ZZZZZR @ p2 )
        | ( ZZZZZR @ sk205 @ ( ZZZZZR @ r1 ) )
        | ~ ( ZZZZZR @ p2 )
        | ( ZZZZZR @ p3 )
        | ~ ( ZZZZZR @ ( sk1 @ r1 ) )
        | ~ sk202 )
      & ( sk202
        | ( ZZZZZQ @ p2 )
        | ~ ( ZZZZZQ @ sk203 @ p3 )
        | ~ ( ZZZZZQ @ p3 )
        | ~ ( ZZZZZQ @ ( sk1 @ r1 ) ) )
      & ( sk202
        | ( ZZZZZQ @ p2 )
        | ( ZZZZZQ @ sk203 @ ( ZZZZZQ @ r1 ) )
        | ~ ( ZZZZZQ @ p3 )
        | ~ ( ZZZZZQ @ ( sk1 @ r1 ) ) )
      & ( ( sk201 @ p3 )
        | sk198
        | sk195
        | ~ sk193
        | ~ sk191 )
      & ( ( ZZZZZP @ p3 )
        | ~ ( ZZZZZP @ ( sk201 @ r1 ) )
        | sk198
        | sk195
        | ~ sk193
        | ~ sk191 )
      & ( ( sk201 @ p3 )
        | sk198
        | sk195
        | ~ sk193
        | ~ sk191 )
      & ( ~ ( sk201 @ p4 )
        | sk198
        | sk195
        | ~ sk193
        | ~ sk191 )
      & ( ~ ( sk201 @ p3 )
        | sk198
        | sk195
        | ~ sk193
        | ~ sk191 )
      & ( ( ZZZZZO @ p4 )
        | ~ ( ZZZZZO @ ( sk201 @ r1 ) )
        | sk198
        | sk195
        | ~ sk193
        | ~ sk191 )
      & ( ( sk201 @ p4 )
        | sk198
        | sk195
        | ~ sk193
        | ~ sk191 )
      & ( ( sk201 @ ( sk1 @ r1 ) )
        | sk198
        | sk195
        | ~ sk193
        | ~ sk191 )
      & ( ~ sk198
        | ( sk200 @ p3 )
        | sk195
        | ~ sk193
        | ~ sk191 )
      & ( ~ sk198
        | ( ZZZZZN @ p3 )
        | ~ ( ZZZZZN @ ( sk200 @ r1 ) )
        | sk195
        | ~ sk193
        | ~ sk191 )
      & ( ~ sk198
        | ( sk200 @ p3 )
        | sk195
        | ~ sk193
        | ~ sk191 )
      & ( ~ sk198
        | ~ ( sk200 @ p4 )
        | sk195
        | ~ sk193
        | ~ sk191 )
      & ( ~ sk198
        | ( sk200 @ ( sk199 @ r1 ) )
        | sk195
        | ~ sk193
        | ~ sk191 )
      & ( ~ sk198
        | ~ ( sk199 @ p3 )
        | sk195
        | ~ sk193
        | ~ sk191 )
      & ( ~ sk198
        | ( ZZZZZM @ p4 )
        | ~ ( ZZZZZM @ ( sk199 @ r1 ) )
        | sk195
        | ~ sk193
        | ~ sk191 )
      & ( ~ sk198
        | ( sk199 @ p4 )
        | sk195
        | ~ sk193
        | ~ sk191 )
      & ( ~ sk198
        | ( sk199 @ ( sk1 @ r1 ) )
        | sk195
        | ~ sk193
        | ~ sk191 )
      & ( ~ sk195
        | ( sk196 @ p3 )
        | ~ sk193
        | ~ sk191 )
      & ( ~ sk195
        | ( ZZZZZL @ p3 )
        | ~ ( ZZZZZL @ ( sk196 @ r1 ) )
        | ~ sk193
        | ~ sk191 )
      & ( ~ sk195
        | ( sk196 @ p3 )
        | ~ sk193
        | ~ sk191 )
      & ( ~ sk195
        | ~ ( sk196 @ p4 )
        | ~ sk193
        | ~ sk191 )
      & ( ~ sk195
        | ~ ( sk197 @ p3 )
        | ~ sk193
        | ~ sk191 )
      & ( ~ sk195
        | ( ZZZZZK @ p4 )
        | ~ ( ZZZZZK @ ( sk197 @ r1 ) )
        | ~ sk193
        | ~ sk191 )
      & ( ~ sk195
        | ( sk197 @ p4 )
        | ~ sk193
        | ~ sk191 )
      & ( ~ sk195
        | ( sk197 @ ( sk196 @ r1 ) )
        | ~ sk193
        | ~ sk191 )
      & ( ~ sk195
        | ( sk196 @ ( sk1 @ r1 ) )
        | ~ sk193
        | ~ sk191 )
      & ( sk193
        | ~ ( ZZZZZJ @ p3 )
        | ~ ( ZZZZZJ @ sk194 @ p3 )
        | ~ ( ZZZZZJ @ p3 )
        | ( ZZZZZJ @ p4 )
        | ~ ( ZZZZZJ @ ( sk1 @ r1 ) )
        | ~ sk191 )
      & ( sk193
        | ~ ( ZZZZZJ @ p3 )
        | ( ZZZZZJ @ sk194 @ ( ZZZZZJ @ r1 ) )
        | ~ ( ZZZZZJ @ p3 )
        | ( ZZZZZJ @ p4 )
        | ~ ( ZZZZZJ @ ( sk1 @ r1 ) )
        | ~ sk191 )
      & ( sk191
        | ( ZZZZZI @ p3 )
        | ~ ( ZZZZZI @ sk192 @ p4 )
        | ~ ( ZZZZZI @ p4 )
        | ~ ( ZZZZZI @ ( sk1 @ r1 ) ) )
      & ( sk191
        | ( ZZZZZI @ p3 )
        | ( ZZZZZI @ sk192 @ ( ZZZZZI @ r1 ) )
        | ~ ( ZZZZZI @ p4 )
        | ~ ( ZZZZZI @ ( sk1 @ r1 ) ) )
      & ( ( sk190 @ p4 )
        | sk187
        | sk184
        | ~ sk182
        | ~ sk180 )
      & ( ( ZZZZZH @ p4 )
        | ~ ( ZZZZZH @ ( sk190 @ r1 ) )
        | sk187
        | sk184
        | ~ sk182
        | ~ sk180 )
      & ( ( sk190 @ p4 )
        | sk187
        | sk184
        | ~ sk182
        | ~ sk180 )
      & ( ~ ( sk190 @ p5 )
        | sk187
        | sk184
        | ~ sk182
        | ~ sk180 )
      & ( ~ ( sk190 @ p4 )
        | sk187
        | sk184
        | ~ sk182
        | ~ sk180 )
      & ( ( ZZZZZG @ p5 )
        | ~ ( ZZZZZG @ ( sk190 @ r1 ) )
        | sk187
        | sk184
        | ~ sk182
        | ~ sk180 )
      & ( ( sk190 @ p5 )
        | sk187
        | sk184
        | ~ sk182
        | ~ sk180 )
      & ( ( sk190 @ ( sk1 @ r1 ) )
        | sk187
        | sk184
        | ~ sk182
        | ~ sk180 )
      & ( ~ sk187
        | ( sk189 @ p4 )
        | sk184
        | ~ sk182
        | ~ sk180 )
      & ( ~ sk187
        | ( ZZZZZF @ p4 )
        | ~ ( ZZZZZF @ ( sk189 @ r1 ) )
        | sk184
        | ~ sk182
        | ~ sk180 )
      & ( ~ sk187
        | ( sk189 @ p4 )
        | sk184
        | ~ sk182
        | ~ sk180 )
      & ( ~ sk187
        | ~ ( sk189 @ p5 )
        | sk184
        | ~ sk182
        | ~ sk180 )
      & ( ~ sk187
        | ( sk189 @ ( sk188 @ r1 ) )
        | sk184
        | ~ sk182
        | ~ sk180 )
      & ( ~ sk187
        | ~ ( sk188 @ p4 )
        | sk184
        | ~ sk182
        | ~ sk180 )
      & ( ~ sk187
        | ( ZZZZZE @ p5 )
        | ~ ( ZZZZZE @ ( sk188 @ r1 ) )
        | sk184
        | ~ sk182
        | ~ sk180 )
      & ( ~ sk187
        | ( sk188 @ p5 )
        | sk184
        | ~ sk182
        | ~ sk180 )
      & ( ~ sk187
        | ( sk188 @ ( sk1 @ r1 ) )
        | sk184
        | ~ sk182
        | ~ sk180 )
      & ( ~ sk184
        | ( sk185 @ p4 )
        | ~ sk182
        | ~ sk180 )
      & ( ~ sk184
        | ( ZZZZZD @ p4 )
        | ~ ( ZZZZZD @ ( sk185 @ r1 ) )
        | ~ sk182
        | ~ sk180 )
      & ( ~ sk184
        | ( sk185 @ p4 )
        | ~ sk182
        | ~ sk180 )
      & ( ~ sk184
        | ~ ( sk185 @ p5 )
        | ~ sk182
        | ~ sk180 )
      & ( ~ sk184
        | ~ ( sk186 @ p4 )
        | ~ sk182
        | ~ sk180 )
      & ( ~ sk184
        | ( ZZZZZC @ p5 )
        | ~ ( ZZZZZC @ ( sk186 @ r1 ) )
        | ~ sk182
        | ~ sk180 )
      & ( ~ sk184
        | ( sk186 @ p5 )
        | ~ sk182
        | ~ sk180 )
      & ( ~ sk184
        | ( sk186 @ ( sk185 @ r1 ) )
        | ~ sk182
        | ~ sk180 )
      & ( ~ sk184
        | ( sk185 @ ( sk1 @ r1 ) )
        | ~ sk182
        | ~ sk180 )
      & ( sk182
        | ~ ( ZZZZZB @ p4 )
        | ~ ( ZZZZZB @ sk183 @ p4 )
        | ~ ( ZZZZZB @ p4 )
        | ( ZZZZZB @ p5 )
        | ~ ( ZZZZZB @ ( sk1 @ r1 ) )
        | ~ sk180 )
      & ( sk182
        | ~ ( ZZZZZB @ p4 )
        | ( ZZZZZB @ sk183 @ ( ZZZZZB @ r1 ) )
        | ~ ( ZZZZZB @ p4 )
        | ( ZZZZZB @ p5 )
        | ~ ( ZZZZZB @ ( sk1 @ r1 ) )
        | ~ sk180 )
      & ( sk180
        | ( ZZZZZA @ p4 )
        | ~ ( ZZZZZA @ sk181 @ p5 )
        | ~ ( ZZZZZA @ p5 )
        | ~ ( ZZZZZA @ ( sk1 @ r1 ) ) )
      & ( sk180
        | ( ZZZZZA @ p4 )
        | ( ZZZZZA @ sk181 @ ( ZZZZZA @ r1 ) )
        | ~ ( ZZZZZA @ p5 )
        | ~ ( ZZZZZA @ ( sk1 @ r1 ) ) )
      & ( ( sk179 @ p5 )
        | sk176
        | sk173
        | ~ sk171
        | ~ sk169 )
      & ( ( ZZZZZ @ p5 )
        | ~ ( ZZZZZ @ ( sk179 @ r1 ) )
        | sk176
        | sk173
        | ~ sk171
        | ~ sk169 )
      & ( ( sk179 @ p5 )
        | sk176
        | sk173
        | ~ sk171
        | ~ sk169 )
      & ( ~ ( sk179 @ p6 )
        | sk176
        | sk173
        | ~ sk171
        | ~ sk169 )
      & ( ~ ( sk179 @ p5 )
        | sk176
        | sk173
        | ~ sk171
        | ~ sk169 )
      & ( ( ZZZZY @ p6 )
        | ~ ( ZZZZY @ ( sk179 @ r1 ) )
        | sk176
        | sk173
        | ~ sk171
        | ~ sk169 )
      & ( ( sk179 @ p6 )
        | sk176
        | sk173
        | ~ sk171
        | ~ sk169 )
      & ( ( sk179 @ ( sk1 @ r1 ) )
        | sk176
        | sk173
        | ~ sk171
        | ~ sk169 )
      & ( ~ sk176
        | ( sk178 @ p5 )
        | sk173
        | ~ sk171
        | ~ sk169 )
      & ( ~ sk176
        | ( ZZZZX @ p5 )
        | ~ ( ZZZZX @ ( sk178 @ r1 ) )
        | sk173
        | ~ sk171
        | ~ sk169 )
      & ( ~ sk176
        | ( sk178 @ p5 )
        | sk173
        | ~ sk171
        | ~ sk169 )
      & ( ~ sk176
        | ~ ( sk178 @ p6 )
        | sk173
        | ~ sk171
        | ~ sk169 )
      & ( ~ sk176
        | ( sk178 @ ( sk177 @ r1 ) )
        | sk173
        | ~ sk171
        | ~ sk169 )
      & ( ~ sk176
        | ~ ( sk177 @ p5 )
        | sk173
        | ~ sk171
        | ~ sk169 )
      & ( ~ sk176
        | ( ZZZZW @ p6 )
        | ~ ( ZZZZW @ ( sk177 @ r1 ) )
        | sk173
        | ~ sk171
        | ~ sk169 )
      & ( ~ sk176
        | ( sk177 @ p6 )
        | sk173
        | ~ sk171
        | ~ sk169 )
      & ( ~ sk176
        | ( sk177 @ ( sk1 @ r1 ) )
        | sk173
        | ~ sk171
        | ~ sk169 )
      & ( ~ sk173
        | ( sk174 @ p5 )
        | ~ sk171
        | ~ sk169 )
      & ( ~ sk173
        | ( ZZZZV @ p5 )
        | ~ ( ZZZZV @ ( sk174 @ r1 ) )
        | ~ sk171
        | ~ sk169 )
      & ( ~ sk173
        | ( sk174 @ p5 )
        | ~ sk171
        | ~ sk169 )
      & ( ~ sk173
        | ~ ( sk174 @ p6 )
        | ~ sk171
        | ~ sk169 )
      & ( ~ sk173
        | ~ ( sk175 @ p5 )
        | ~ sk171
        | ~ sk169 )
      & ( ~ sk173
        | ( ZZZZU @ p6 )
        | ~ ( ZZZZU @ ( sk175 @ r1 ) )
        | ~ sk171
        | ~ sk169 )
      & ( ~ sk173
        | ( sk175 @ p6 )
        | ~ sk171
        | ~ sk169 )
      & ( ~ sk173
        | ( sk175 @ ( sk174 @ r1 ) )
        | ~ sk171
        | ~ sk169 )
      & ( ~ sk173
        | ( sk174 @ ( sk1 @ r1 ) )
        | ~ sk171
        | ~ sk169 )
      & ( sk171
        | ~ ( ZZZZT @ p5 )
        | ~ ( ZZZZT @ sk172 @ p5 )
        | ~ ( ZZZZT @ p5 )
        | ( ZZZZT @ p6 )
        | ~ ( ZZZZT @ ( sk1 @ r1 ) )
        | ~ sk169 )
      & ( sk171
        | ~ ( ZZZZT @ p5 )
        | ( ZZZZT @ sk172 @ ( ZZZZT @ r1 ) )
        | ~ ( ZZZZT @ p5 )
        | ( ZZZZT @ p6 )
        | ~ ( ZZZZT @ ( sk1 @ r1 ) )
        | ~ sk169 )
      & ( sk169
        | ( ZZZZS @ p5 )
        | ~ ( ZZZZS @ sk170 @ p6 )
        | ~ ( ZZZZS @ p6 )
        | ~ ( ZZZZS @ ( sk1 @ r1 ) ) )
      & ( sk169
        | ( ZZZZS @ p5 )
        | ( ZZZZS @ sk170 @ ( ZZZZS @ r1 ) )
        | ~ ( ZZZZS @ p6 )
        | ~ ( ZZZZS @ ( sk1 @ r1 ) ) )
      & ( ( sk168 @ p6 )
        | sk165
        | sk162
        | ~ sk160
        | ~ sk158 )
      & ( ( ZZZZR @ p6 )
        | ~ ( ZZZZR @ ( sk168 @ r1 ) )
        | sk165
        | sk162
        | ~ sk160
        | ~ sk158 )
      & ( ( sk168 @ p6 )
        | sk165
        | sk162
        | ~ sk160
        | ~ sk158 )
      & ( ~ ( sk168 @ p7 )
        | sk165
        | sk162
        | ~ sk160
        | ~ sk158 )
      & ( ~ ( sk168 @ p6 )
        | sk165
        | sk162
        | ~ sk160
        | ~ sk158 )
      & ( ( ZZZZQ @ p7 )
        | ~ ( ZZZZQ @ ( sk168 @ r1 ) )
        | sk165
        | sk162
        | ~ sk160
        | ~ sk158 )
      & ( ( sk168 @ p7 )
        | sk165
        | sk162
        | ~ sk160
        | ~ sk158 )
      & ( ( sk168 @ ( sk1 @ r1 ) )
        | sk165
        | sk162
        | ~ sk160
        | ~ sk158 )
      & ( ~ sk165
        | ( sk167 @ p6 )
        | sk162
        | ~ sk160
        | ~ sk158 )
      & ( ~ sk165
        | ( ZZZZP @ p6 )
        | ~ ( ZZZZP @ ( sk167 @ r1 ) )
        | sk162
        | ~ sk160
        | ~ sk158 )
      & ( ~ sk165
        | ( sk167 @ p6 )
        | sk162
        | ~ sk160
        | ~ sk158 )
      & ( ~ sk165
        | ~ ( sk167 @ p7 )
        | sk162
        | ~ sk160
        | ~ sk158 )
      & ( ~ sk165
        | ( sk167 @ ( sk166 @ r1 ) )
        | sk162
        | ~ sk160
        | ~ sk158 )
      & ( ~ sk165
        | ~ ( sk166 @ p6 )
        | sk162
        | ~ sk160
        | ~ sk158 )
      & ( ~ sk165
        | ( ZZZZO @ p7 )
        | ~ ( ZZZZO @ ( sk166 @ r1 ) )
        | sk162
        | ~ sk160
        | ~ sk158 )
      & ( ~ sk165
        | ( sk166 @ p7 )
        | sk162
        | ~ sk160
        | ~ sk158 )
      & ( ~ sk165
        | ( sk166 @ ( sk1 @ r1 ) )
        | sk162
        | ~ sk160
        | ~ sk158 )
      & ( ~ sk162
        | ( sk163 @ p6 )
        | ~ sk160
        | ~ sk158 )
      & ( ~ sk162
        | ( ZZZZN @ p6 )
        | ~ ( ZZZZN @ ( sk163 @ r1 ) )
        | ~ sk160
        | ~ sk158 )
      & ( ~ sk162
        | ( sk163 @ p6 )
        | ~ sk160
        | ~ sk158 )
      & ( ~ sk162
        | ~ ( sk163 @ p7 )
        | ~ sk160
        | ~ sk158 )
      & ( ~ sk162
        | ~ ( sk164 @ p6 )
        | ~ sk160
        | ~ sk158 )
      & ( ~ sk162
        | ( ZZZZM @ p7 )
        | ~ ( ZZZZM @ ( sk164 @ r1 ) )
        | ~ sk160
        | ~ sk158 )
      & ( ~ sk162
        | ( sk164 @ p7 )
        | ~ sk160
        | ~ sk158 )
      & ( ~ sk162
        | ( sk164 @ ( sk163 @ r1 ) )
        | ~ sk160
        | ~ sk158 )
      & ( ~ sk162
        | ( sk163 @ ( sk1 @ r1 ) )
        | ~ sk160
        | ~ sk158 )
      & ( sk160
        | ~ ( ZZZZL @ p6 )
        | ~ ( ZZZZL @ sk161 @ p6 )
        | ~ ( ZZZZL @ p6 )
        | ( ZZZZL @ p7 )
        | ~ ( ZZZZL @ ( sk1 @ r1 ) )
        | ~ sk158 )
      & ( sk160
        | ~ ( ZZZZL @ p6 )
        | ( ZZZZL @ sk161 @ ( ZZZZL @ r1 ) )
        | ~ ( ZZZZL @ p6 )
        | ( ZZZZL @ p7 )
        | ~ ( ZZZZL @ ( sk1 @ r1 ) )
        | ~ sk158 )
      & ( sk158
        | ( ZZZZK @ p6 )
        | ~ ( ZZZZK @ sk159 @ p7 )
        | ~ ( ZZZZK @ p7 )
        | ~ ( ZZZZK @ ( sk1 @ r1 ) ) )
      & ( sk158
        | ( ZZZZK @ p6 )
        | ( ZZZZK @ sk159 @ ( ZZZZK @ r1 ) )
        | ~ ( ZZZZK @ p7 )
        | ~ ( ZZZZK @ ( sk1 @ r1 ) ) )
      & ( sk157 @ p20 )
      & ( ( ZZZZJ @ p20 )
        | ~ ( ZZZZJ @ ( sk157 @ r1 ) ) )
      & ~ ( sk157 @ p20 )
      & ( sk157 @ ( sk1 @ r1 ) )
      & ( sk156 @ p20 )
      & ( ( ZZZZI @ p20 )
        | ~ ( ZZZZI @ ( sk156 @ r1 ) ) )
      & ~ ( sk156 @ p20 )
      & ( sk156 @ ( sk1 @ r1 ) )
      & ( ( sk155 @ p7 )
        | sk152
        | sk149
        | ~ sk147
        | ~ sk145 )
      & ( ( ZZZZH @ p7 )
        | ~ ( ZZZZH @ ( sk155 @ r1 ) )
        | sk152
        | sk149
        | ~ sk147
        | ~ sk145 )
      & ( ( sk155 @ p7 )
        | sk152
        | sk149
        | ~ sk147
        | ~ sk145 )
      & ( ~ ( sk155 @ p8 )
        | sk152
        | sk149
        | ~ sk147
        | ~ sk145 )
      & ( ~ ( sk155 @ p7 )
        | sk152
        | sk149
        | ~ sk147
        | ~ sk145 )
      & ( ( ZZZZG @ p8 )
        | ~ ( ZZZZG @ ( sk155 @ r1 ) )
        | sk152
        | sk149
        | ~ sk147
        | ~ sk145 )
      & ( ( sk155 @ p8 )
        | sk152
        | sk149
        | ~ sk147
        | ~ sk145 )
      & ( ( sk155 @ ( sk1 @ r1 ) )
        | sk152
        | sk149
        | ~ sk147
        | ~ sk145 )
      & ( ~ sk152
        | ( sk154 @ p7 )
        | sk149
        | ~ sk147
        | ~ sk145 )
      & ( ~ sk152
        | ( ZZZZF @ p7 )
        | ~ ( ZZZZF @ ( sk154 @ r1 ) )
        | sk149
        | ~ sk147
        | ~ sk145 )
      & ( ~ sk152
        | ( sk154 @ p7 )
        | sk149
        | ~ sk147
        | ~ sk145 )
      & ( ~ sk152
        | ~ ( sk154 @ p8 )
        | sk149
        | ~ sk147
        | ~ sk145 )
      & ( ~ sk152
        | ( sk154 @ ( sk153 @ r1 ) )
        | sk149
        | ~ sk147
        | ~ sk145 )
      & ( ~ sk152
        | ~ ( sk153 @ p7 )
        | sk149
        | ~ sk147
        | ~ sk145 )
      & ( ~ sk152
        | ( ZZZZE @ p8 )
        | ~ ( ZZZZE @ ( sk153 @ r1 ) )
        | sk149
        | ~ sk147
        | ~ sk145 )
      & ( ~ sk152
        | ( sk153 @ p8 )
        | sk149
        | ~ sk147
        | ~ sk145 )
      & ( ~ sk152
        | ( sk153 @ ( sk1 @ r1 ) )
        | sk149
        | ~ sk147
        | ~ sk145 )
      & ( ~ sk149
        | ( sk150 @ p7 )
        | ~ sk147
        | ~ sk145 )
      & ( ~ sk149
        | ( ZZZZD @ p7 )
        | ~ ( ZZZZD @ ( sk150 @ r1 ) )
        | ~ sk147
        | ~ sk145 )
      & ( ~ sk149
        | ( sk150 @ p7 )
        | ~ sk147
        | ~ sk145 )
      & ( ~ sk149
        | ~ ( sk150 @ p8 )
        | ~ sk147
        | ~ sk145 )
      & ( ~ sk149
        | ~ ( sk151 @ p7 )
        | ~ sk147
        | ~ sk145 )
      & ( ~ sk149
        | ( ZZZZC @ p8 )
        | ~ ( ZZZZC @ ( sk151 @ r1 ) )
        | ~ sk147
        | ~ sk145 )
      & ( ~ sk149
        | ( sk151 @ p8 )
        | ~ sk147
        | ~ sk145 )
      & ( ~ sk149
        | ( sk151 @ ( sk150 @ r1 ) )
        | ~ sk147
        | ~ sk145 )
      & ( ~ sk149
        | ( sk150 @ ( sk1 @ r1 ) )
        | ~ sk147
        | ~ sk145 )
      & ( sk147
        | ~ ( ZZZZB @ p7 )
        | ~ ( ZZZZB @ sk148 @ p7 )
        | ~ ( ZZZZB @ p7 )
        | ( ZZZZB @ p8 )
        | ~ ( ZZZZB @ ( sk1 @ r1 ) )
        | ~ sk145 )
      & ( sk147
        | ~ ( ZZZZB @ p7 )
        | ( ZZZZB @ sk148 @ ( ZZZZB @ r1 ) )
        | ~ ( ZZZZB @ p7 )
        | ( ZZZZB @ p8 )
        | ~ ( ZZZZB @ ( sk1 @ r1 ) )
        | ~ sk145 )
      & ( sk145
        | ( ZZZZA @ p7 )
        | ~ ( ZZZZA @ sk146 @ p8 )
        | ~ ( ZZZZA @ p8 )
        | ~ ( ZZZZA @ ( sk1 @ r1 ) ) )
      & ( sk145
        | ( ZZZZA @ p7 )
        | ( ZZZZA @ sk146 @ ( ZZZZA @ r1 ) )
        | ~ ( ZZZZA @ p8 )
        | ~ ( ZZZZA @ ( sk1 @ r1 ) ) )
      & ( ( sk144 @ p8 )
        | sk141
        | sk138
        | ~ sk136
        | ~ sk134 )
      & ( ( ZZZZ @ p8 )
        | ~ ( ZZZZ @ ( sk144 @ r1 ) )
        | sk141
        | sk138
        | ~ sk136
        | ~ sk134 )
      & ( ( sk144 @ p8 )
        | sk141
        | sk138
        | ~ sk136
        | ~ sk134 )
      & ( ~ ( sk144 @ p9 )
        | sk141
        | sk138
        | ~ sk136
        | ~ sk134 )
      & ( ~ ( sk144 @ p8 )
        | sk141
        | sk138
        | ~ sk136
        | ~ sk134 )
      & ( ( ZZZY @ p9 )
        | ~ ( ZZZY @ ( sk144 @ r1 ) )
        | sk141
        | sk138
        | ~ sk136
        | ~ sk134 )
      & ( ( sk144 @ p9 )
        | sk141
        | sk138
        | ~ sk136
        | ~ sk134 )
      & ( ( sk144 @ ( sk1 @ r1 ) )
        | sk141
        | sk138
        | ~ sk136
        | ~ sk134 )
      & ( ~ sk141
        | ( sk143 @ p8 )
        | sk138
        | ~ sk136
        | ~ sk134 )
      & ( ~ sk141
        | ( ZZZX @ p8 )
        | ~ ( ZZZX @ ( sk143 @ r1 ) )
        | sk138
        | ~ sk136
        | ~ sk134 )
      & ( ~ sk141
        | ( sk143 @ p8 )
        | sk138
        | ~ sk136
        | ~ sk134 )
      & ( ~ sk141
        | ~ ( sk143 @ p9 )
        | sk138
        | ~ sk136
        | ~ sk134 )
      & ( ~ sk141
        | ( sk143 @ ( sk142 @ r1 ) )
        | sk138
        | ~ sk136
        | ~ sk134 )
      & ( ~ sk141
        | ~ ( sk142 @ p8 )
        | sk138
        | ~ sk136
        | ~ sk134 )
      & ( ~ sk141
        | ( ZZZW @ p9 )
        | ~ ( ZZZW @ ( sk142 @ r1 ) )
        | sk138
        | ~ sk136
        | ~ sk134 )
      & ( ~ sk141
        | ( sk142 @ p9 )
        | sk138
        | ~ sk136
        | ~ sk134 )
      & ( ~ sk141
        | ( sk142 @ ( sk1 @ r1 ) )
        | sk138
        | ~ sk136
        | ~ sk134 )
      & ( ~ sk138
        | ( sk139 @ p8 )
        | ~ sk136
        | ~ sk134 )
      & ( ~ sk138
        | ( ZZZV @ p8 )
        | ~ ( ZZZV @ ( sk139 @ r1 ) )
        | ~ sk136
        | ~ sk134 )
      & ( ~ sk138
        | ( sk139 @ p8 )
        | ~ sk136
        | ~ sk134 )
      & ( ~ sk138
        | ~ ( sk139 @ p9 )
        | ~ sk136
        | ~ sk134 )
      & ( ~ sk138
        | ~ ( sk140 @ p8 )
        | ~ sk136
        | ~ sk134 )
      & ( ~ sk138
        | ( ZZZU @ p9 )
        | ~ ( ZZZU @ ( sk140 @ r1 ) )
        | ~ sk136
        | ~ sk134 )
      & ( ~ sk138
        | ( sk140 @ p9 )
        | ~ sk136
        | ~ sk134 )
      & ( ~ sk138
        | ( sk140 @ ( sk139 @ r1 ) )
        | ~ sk136
        | ~ sk134 )
      & ( ~ sk138
        | ( sk139 @ ( sk1 @ r1 ) )
        | ~ sk136
        | ~ sk134 )
      & ( sk136
        | ~ ( ZZZT @ p8 )
        | ~ ( ZZZT @ sk137 @ p8 )
        | ~ ( ZZZT @ p8 )
        | ( ZZZT @ p9 )
        | ~ ( ZZZT @ ( sk1 @ r1 ) )
        | ~ sk134 )
      & ( sk136
        | ~ ( ZZZT @ p8 )
        | ( ZZZT @ sk137 @ ( ZZZT @ r1 ) )
        | ~ ( ZZZT @ p8 )
        | ( ZZZT @ p9 )
        | ~ ( ZZZT @ ( sk1 @ r1 ) )
        | ~ sk134 )
      & ( sk134
        | ( ZZZS @ p8 )
        | ~ ( ZZZS @ sk135 @ p9 )
        | ~ ( ZZZS @ p9 )
        | ~ ( ZZZS @ ( sk1 @ r1 ) ) )
      & ( sk134
        | ( ZZZS @ p8 )
        | ( ZZZS @ sk135 @ ( ZZZS @ r1 ) )
        | ~ ( ZZZS @ p9 )
        | ~ ( ZZZS @ ( sk1 @ r1 ) ) )
      & ( ( sk133 @ p9 )
        | sk130
        | sk127
        | ~ sk125
        | ~ sk123 )
      & ( ( ZZZR @ p9 )
        | ~ ( ZZZR @ ( sk133 @ r1 ) )
        | sk130
        | sk127
        | ~ sk125
        | ~ sk123 )
      & ( ( sk133 @ p9 )
        | sk130
        | sk127
        | ~ sk125
        | ~ sk123 )
      & ( ~ ( sk133 @ p10 )
        | sk130
        | sk127
        | ~ sk125
        | ~ sk123 )
      & ( ~ ( sk133 @ p9 )
        | sk130
        | sk127
        | ~ sk125
        | ~ sk123 )
      & ( ( ZZZQ @ p10 )
        | ~ ( ZZZQ @ ( sk133 @ r1 ) )
        | sk130
        | sk127
        | ~ sk125
        | ~ sk123 )
      & ( ( sk133 @ p10 )
        | sk130
        | sk127
        | ~ sk125
        | ~ sk123 )
      & ( ( sk133 @ ( sk1 @ r1 ) )
        | sk130
        | sk127
        | ~ sk125
        | ~ sk123 )
      & ( ~ sk130
        | ( sk132 @ p9 )
        | sk127
        | ~ sk125
        | ~ sk123 )
      & ( ~ sk130
        | ( ZZZP @ p9 )
        | ~ ( ZZZP @ ( sk132 @ r1 ) )
        | sk127
        | ~ sk125
        | ~ sk123 )
      & ( ~ sk130
        | ( sk132 @ p9 )
        | sk127
        | ~ sk125
        | ~ sk123 )
      & ( ~ sk130
        | ~ ( sk132 @ p10 )
        | sk127
        | ~ sk125
        | ~ sk123 )
      & ( ~ sk130
        | ( sk132 @ ( sk131 @ r1 ) )
        | sk127
        | ~ sk125
        | ~ sk123 )
      & ( ~ sk130
        | ~ ( sk131 @ p9 )
        | sk127
        | ~ sk125
        | ~ sk123 )
      & ( ~ sk130
        | ( ZZZO @ p10 )
        | ~ ( ZZZO @ ( sk131 @ r1 ) )
        | sk127
        | ~ sk125
        | ~ sk123 )
      & ( ~ sk130
        | ( sk131 @ p10 )
        | sk127
        | ~ sk125
        | ~ sk123 )
      & ( ~ sk130
        | ( sk131 @ ( sk1 @ r1 ) )
        | sk127
        | ~ sk125
        | ~ sk123 )
      & ( ~ sk127
        | ( sk128 @ p9 )
        | ~ sk125
        | ~ sk123 )
      & ( ~ sk127
        | ( ZZZN @ p9 )
        | ~ ( ZZZN @ ( sk128 @ r1 ) )
        | ~ sk125
        | ~ sk123 )
      & ( ~ sk127
        | ( sk128 @ p9 )
        | ~ sk125
        | ~ sk123 )
      & ( ~ sk127
        | ~ ( sk128 @ p10 )
        | ~ sk125
        | ~ sk123 )
      & ( ~ sk127
        | ~ ( sk129 @ p9 )
        | ~ sk125
        | ~ sk123 )
      & ( ~ sk127
        | ( ZZZM @ p10 )
        | ~ ( ZZZM @ ( sk129 @ r1 ) )
        | ~ sk125
        | ~ sk123 )
      & ( ~ sk127
        | ( sk129 @ p10 )
        | ~ sk125
        | ~ sk123 )
      & ( ~ sk127
        | ( sk129 @ ( sk128 @ r1 ) )
        | ~ sk125
        | ~ sk123 )
      & ( ~ sk127
        | ( sk128 @ ( sk1 @ r1 ) )
        | ~ sk125
        | ~ sk123 )
      & ( sk125
        | ~ ( ZZZL @ p9 )
        | ~ ( ZZZL @ sk126 @ p9 )
        | ~ ( ZZZL @ p9 )
        | ( ZZZL @ p10 )
        | ~ ( ZZZL @ ( sk1 @ r1 ) )
        | ~ sk123 )
      & ( sk125
        | ~ ( ZZZL @ p9 )
        | ( ZZZL @ sk126 @ ( ZZZL @ r1 ) )
        | ~ ( ZZZL @ p9 )
        | ( ZZZL @ p10 )
        | ~ ( ZZZL @ ( sk1 @ r1 ) )
        | ~ sk123 )
      & ( sk123
        | ( ZZZK @ p9 )
        | ~ ( ZZZK @ sk124 @ p10 )
        | ~ ( ZZZK @ p10 )
        | ~ ( ZZZK @ ( sk1 @ r1 ) ) )
      & ( sk123
        | ( ZZZK @ p9 )
        | ( ZZZK @ sk124 @ ( ZZZK @ r1 ) )
        | ~ ( ZZZK @ p10 )
        | ~ ( ZZZK @ ( sk1 @ r1 ) ) )
      & ( ( sk122 @ p10 )
        | sk119
        | sk116
        | ~ sk114
        | ~ sk112 )
      & ( ( ZZZJ @ p10 )
        | ~ ( ZZZJ @ ( sk122 @ r1 ) )
        | sk119
        | sk116
        | ~ sk114
        | ~ sk112 )
      & ( ( sk122 @ p10 )
        | sk119
        | sk116
        | ~ sk114
        | ~ sk112 )
      & ( ~ ( sk122 @ p11 )
        | sk119
        | sk116
        | ~ sk114
        | ~ sk112 )
      & ( ~ ( sk122 @ p10 )
        | sk119
        | sk116
        | ~ sk114
        | ~ sk112 )
      & ( ( ZZZI @ p11 )
        | ~ ( ZZZI @ ( sk122 @ r1 ) )
        | sk119
        | sk116
        | ~ sk114
        | ~ sk112 )
      & ( ( sk122 @ p11 )
        | sk119
        | sk116
        | ~ sk114
        | ~ sk112 )
      & ( ( sk122 @ ( sk1 @ r1 ) )
        | sk119
        | sk116
        | ~ sk114
        | ~ sk112 )
      & ( ~ sk119
        | ( sk121 @ p10 )
        | sk116
        | ~ sk114
        | ~ sk112 )
      & ( ~ sk119
        | ( ZZZH @ p10 )
        | ~ ( ZZZH @ ( sk121 @ r1 ) )
        | sk116
        | ~ sk114
        | ~ sk112 )
      & ( ~ sk119
        | ( sk121 @ p10 )
        | sk116
        | ~ sk114
        | ~ sk112 )
      & ( ~ sk119
        | ~ ( sk121 @ p11 )
        | sk116
        | ~ sk114
        | ~ sk112 )
      & ( ~ sk119
        | ( sk121 @ ( sk120 @ r1 ) )
        | sk116
        | ~ sk114
        | ~ sk112 )
      & ( ~ sk119
        | ~ ( sk120 @ p10 )
        | sk116
        | ~ sk114
        | ~ sk112 )
      & ( ~ sk119
        | ( ZZZG @ p11 )
        | ~ ( ZZZG @ ( sk120 @ r1 ) )
        | sk116
        | ~ sk114
        | ~ sk112 )
      & ( ~ sk119
        | ( sk120 @ p11 )
        | sk116
        | ~ sk114
        | ~ sk112 )
      & ( ~ sk119
        | ( sk120 @ ( sk1 @ r1 ) )
        | sk116
        | ~ sk114
        | ~ sk112 )
      & ( ~ sk116
        | ( sk117 @ p10 )
        | ~ sk114
        | ~ sk112 )
      & ( ~ sk116
        | ( ZZZF @ p10 )
        | ~ ( ZZZF @ ( sk117 @ r1 ) )
        | ~ sk114
        | ~ sk112 )
      & ( ~ sk116
        | ( sk117 @ p10 )
        | ~ sk114
        | ~ sk112 )
      & ( ~ sk116
        | ~ ( sk117 @ p11 )
        | ~ sk114
        | ~ sk112 )
      & ( ~ sk116
        | ~ ( sk118 @ p10 )
        | ~ sk114
        | ~ sk112 )
      & ( ~ sk116
        | ( ZZZE @ p11 )
        | ~ ( ZZZE @ ( sk118 @ r1 ) )
        | ~ sk114
        | ~ sk112 )
      & ( ~ sk116
        | ( sk118 @ p11 )
        | ~ sk114
        | ~ sk112 )
      & ( ~ sk116
        | ( sk118 @ ( sk117 @ r1 ) )
        | ~ sk114
        | ~ sk112 )
      & ( ~ sk116
        | ( sk117 @ ( sk1 @ r1 ) )
        | ~ sk114
        | ~ sk112 )
      & ( sk114
        | ~ ( ZZZD @ p10 )
        | ~ ( ZZZD @ sk115 @ p10 )
        | ~ ( ZZZD @ p10 )
        | ( ZZZD @ p11 )
        | ~ ( ZZZD @ ( sk1 @ r1 ) )
        | ~ sk112 )
      & ( sk114
        | ~ ( ZZZD @ p10 )
        | ( ZZZD @ sk115 @ ( ZZZD @ r1 ) )
        | ~ ( ZZZD @ p10 )
        | ( ZZZD @ p11 )
        | ~ ( ZZZD @ ( sk1 @ r1 ) )
        | ~ sk112 )
      & ( sk112
        | ( ZZZC @ p10 )
        | ~ ( ZZZC @ sk113 @ p11 )
        | ~ ( ZZZC @ p11 )
        | ~ ( ZZZC @ ( sk1 @ r1 ) ) )
      & ( sk112
        | ( ZZZC @ p10 )
        | ( ZZZC @ sk113 @ ( ZZZC @ r1 ) )
        | ~ ( ZZZC @ p11 )
        | ~ ( ZZZC @ ( sk1 @ r1 ) ) )
      & ( ( sk111 @ p11 )
        | sk108
        | sk105
        | ~ sk103
        | ~ sk101 )
      & ( ( ZZZB @ p11 )
        | ~ ( ZZZB @ ( sk111 @ r1 ) )
        | sk108
        | sk105
        | ~ sk103
        | ~ sk101 )
      & ( ( sk111 @ p11 )
        | sk108
        | sk105
        | ~ sk103
        | ~ sk101 )
      & ( ~ ( sk111 @ p12 )
        | sk108
        | sk105
        | ~ sk103
        | ~ sk101 )
      & ( ~ ( sk111 @ p11 )
        | sk108
        | sk105
        | ~ sk103
        | ~ sk101 )
      & ( ( ZZZA @ p12 )
        | ~ ( ZZZA @ ( sk111 @ r1 ) )
        | sk108
        | sk105
        | ~ sk103
        | ~ sk101 )
      & ( ( sk111 @ p12 )
        | sk108
        | sk105
        | ~ sk103
        | ~ sk101 )
      & ( ( sk111 @ ( sk1 @ r1 ) )
        | sk108
        | sk105
        | ~ sk103
        | ~ sk101 )
      & ( ~ sk108
        | ( sk110 @ p11 )
        | sk105
        | ~ sk103
        | ~ sk101 )
      & ( ~ sk108
        | ( ZZZ @ p11 )
        | ~ ( ZZZ @ ( sk110 @ r1 ) )
        | sk105
        | ~ sk103
        | ~ sk101 )
      & ( ~ sk108
        | ( sk110 @ p11 )
        | sk105
        | ~ sk103
        | ~ sk101 )
      & ( ~ sk108
        | ~ ( sk110 @ p12 )
        | sk105
        | ~ sk103
        | ~ sk101 )
      & ( ~ sk108
        | ( sk110 @ ( sk109 @ r1 ) )
        | sk105
        | ~ sk103
        | ~ sk101 )
      & ( ~ sk108
        | ~ ( sk109 @ p11 )
        | sk105
        | ~ sk103
        | ~ sk101 )
      & ( ~ sk108
        | ( ZZY @ p12 )
        | ~ ( ZZY @ ( sk109 @ r1 ) )
        | sk105
        | ~ sk103
        | ~ sk101 )
      & ( ~ sk108
        | ( sk109 @ p12 )
        | sk105
        | ~ sk103
        | ~ sk101 )
      & ( ~ sk108
        | ( sk109 @ ( sk1 @ r1 ) )
        | sk105
        | ~ sk103
        | ~ sk101 )
      & ( ~ sk105
        | ( sk106 @ p11 )
        | ~ sk103
        | ~ sk101 )
      & ( ~ sk105
        | ( ZZX @ p11 )
        | ~ ( ZZX @ ( sk106 @ r1 ) )
        | ~ sk103
        | ~ sk101 )
      & ( ~ sk105
        | ( sk106 @ p11 )
        | ~ sk103
        | ~ sk101 )
      & ( ~ sk105
        | ~ ( sk106 @ p12 )
        | ~ sk103
        | ~ sk101 )
      & ( ~ sk105
        | ~ ( sk107 @ p11 )
        | ~ sk103
        | ~ sk101 )
      & ( ~ sk105
        | ( ZZW @ p12 )
        | ~ ( ZZW @ ( sk107 @ r1 ) )
        | ~ sk103
        | ~ sk101 )
      & ( ~ sk105
        | ( sk107 @ p12 )
        | ~ sk103
        | ~ sk101 )
      & ( ~ sk105
        | ( sk107 @ ( sk106 @ r1 ) )
        | ~ sk103
        | ~ sk101 )
      & ( ~ sk105
        | ( sk106 @ ( sk1 @ r1 ) )
        | ~ sk103
        | ~ sk101 )
      & ( sk103
        | ~ ( ZZV @ p11 )
        | ~ ( ZZV @ sk104 @ p11 )
        | ~ ( ZZV @ p11 )
        | ( ZZV @ p12 )
        | ~ ( ZZV @ ( sk1 @ r1 ) )
        | ~ sk101 )
      & ( sk103
        | ~ ( ZZV @ p11 )
        | ( ZZV @ sk104 @ ( ZZV @ r1 ) )
        | ~ ( ZZV @ p11 )
        | ( ZZV @ p12 )
        | ~ ( ZZV @ ( sk1 @ r1 ) )
        | ~ sk101 )
      & ( sk101
        | ( ZZU @ p11 )
        | ~ ( ZZU @ sk102 @ p12 )
        | ~ ( ZZU @ p12 )
        | ~ ( ZZU @ ( sk1 @ r1 ) ) )
      & ( sk101
        | ( ZZU @ p11 )
        | ( ZZU @ sk102 @ ( ZZU @ r1 ) )
        | ~ ( ZZU @ p12 )
        | ~ ( ZZU @ ( sk1 @ r1 ) ) )
      & ( ( sk100 @ p12 )
        | sk97
        | sk94
        | ~ sk92
        | ~ sk90 )
      & ( ( ZZT @ p12 )
        | ~ ( ZZT @ ( sk100 @ r1 ) )
        | sk97
        | sk94
        | ~ sk92
        | ~ sk90 )
      & ( ( sk100 @ p12 )
        | sk97
        | sk94
        | ~ sk92
        | ~ sk90 )
      & ( ~ ( sk100 @ p13 )
        | sk97
        | sk94
        | ~ sk92
        | ~ sk90 )
      & ( ~ ( sk100 @ p12 )
        | sk97
        | sk94
        | ~ sk92
        | ~ sk90 )
      & ( ( ZZS @ p13 )
        | ~ ( ZZS @ ( sk100 @ r1 ) )
        | sk97
        | sk94
        | ~ sk92
        | ~ sk90 )
      & ( ( sk100 @ p13 )
        | sk97
        | sk94
        | ~ sk92
        | ~ sk90 )
      & ( ( sk100 @ ( sk1 @ r1 ) )
        | sk97
        | sk94
        | ~ sk92
        | ~ sk90 )
      & ( ~ sk97
        | ( sk99 @ p12 )
        | sk94
        | ~ sk92
        | ~ sk90 )
      & ( ~ sk97
        | ( ZZR @ p12 )
        | ~ ( ZZR @ ( sk99 @ r1 ) )
        | sk94
        | ~ sk92
        | ~ sk90 )
      & ( ~ sk97
        | ( sk99 @ p12 )
        | sk94
        | ~ sk92
        | ~ sk90 )
      & ( ~ sk97
        | ~ ( sk99 @ p13 )
        | sk94
        | ~ sk92
        | ~ sk90 )
      & ( ~ sk97
        | ( sk99 @ ( sk98 @ r1 ) )
        | sk94
        | ~ sk92
        | ~ sk90 )
      & ( ~ sk97
        | ~ ( sk98 @ p12 )
        | sk94
        | ~ sk92
        | ~ sk90 )
      & ( ~ sk97
        | ( ZZQ @ p13 )
        | ~ ( ZZQ @ ( sk98 @ r1 ) )
        | sk94
        | ~ sk92
        | ~ sk90 )
      & ( ~ sk97
        | ( sk98 @ p13 )
        | sk94
        | ~ sk92
        | ~ sk90 )
      & ( ~ sk97
        | ( sk98 @ ( sk1 @ r1 ) )
        | sk94
        | ~ sk92
        | ~ sk90 )
      & ( ~ sk94
        | ( sk95 @ p12 )
        | ~ sk92
        | ~ sk90 )
      & ( ~ sk94
        | ( ZZP @ p12 )
        | ~ ( ZZP @ ( sk95 @ r1 ) )
        | ~ sk92
        | ~ sk90 )
      & ( ~ sk94
        | ( sk95 @ p12 )
        | ~ sk92
        | ~ sk90 )
      & ( ~ sk94
        | ~ ( sk95 @ p13 )
        | ~ sk92
        | ~ sk90 )
      & ( ~ sk94
        | ~ ( sk96 @ p12 )
        | ~ sk92
        | ~ sk90 )
      & ( ~ sk94
        | ( ZZO @ p13 )
        | ~ ( ZZO @ ( sk96 @ r1 ) )
        | ~ sk92
        | ~ sk90 )
      & ( ~ sk94
        | ( sk96 @ p13 )
        | ~ sk92
        | ~ sk90 )
      & ( ~ sk94
        | ( sk96 @ ( sk95 @ r1 ) )
        | ~ sk92
        | ~ sk90 )
      & ( ~ sk94
        | ( sk95 @ ( sk1 @ r1 ) )
        | ~ sk92
        | ~ sk90 )
      & ( sk92
        | ~ ( ZZN @ p12 )
        | ~ ( ZZN @ sk93 @ p12 )
        | ~ ( ZZN @ p12 )
        | ( ZZN @ p13 )
        | ~ ( ZZN @ ( sk1 @ r1 ) )
        | ~ sk90 )
      & ( sk92
        | ~ ( ZZN @ p12 )
        | ( ZZN @ sk93 @ ( ZZN @ r1 ) )
        | ~ ( ZZN @ p12 )
        | ( ZZN @ p13 )
        | ~ ( ZZN @ ( sk1 @ r1 ) )
        | ~ sk90 )
      & ( sk90
        | ( ZZM @ p12 )
        | ~ ( ZZM @ sk91 @ p13 )
        | ~ ( ZZM @ p13 )
        | ~ ( ZZM @ ( sk1 @ r1 ) ) )
      & ( sk90
        | ( ZZM @ p12 )
        | ( ZZM @ sk91 @ ( ZZM @ r1 ) )
        | ~ ( ZZM @ p13 )
        | ~ ( ZZM @ ( sk1 @ r1 ) ) )
      & ( ( sk89 @ p13 )
        | sk86
        | sk83
        | ~ sk81
        | ~ sk79 )
      & ( ( ZZL @ p13 )
        | ~ ( ZZL @ ( sk89 @ r1 ) )
        | sk86
        | sk83
        | ~ sk81
        | ~ sk79 )
      & ( ( sk89 @ p13 )
        | sk86
        | sk83
        | ~ sk81
        | ~ sk79 )
      & ( ~ ( sk89 @ p14 )
        | sk86
        | sk83
        | ~ sk81
        | ~ sk79 )
      & ( ~ ( sk89 @ p13 )
        | sk86
        | sk83
        | ~ sk81
        | ~ sk79 )
      & ( ( ZZK @ p14 )
        | ~ ( ZZK @ ( sk89 @ r1 ) )
        | sk86
        | sk83
        | ~ sk81
        | ~ sk79 )
      & ( ( sk89 @ p14 )
        | sk86
        | sk83
        | ~ sk81
        | ~ sk79 )
      & ( ( sk89 @ ( sk1 @ r1 ) )
        | sk86
        | sk83
        | ~ sk81
        | ~ sk79 )
      & ( ~ sk86
        | ( sk88 @ p13 )
        | sk83
        | ~ sk81
        | ~ sk79 )
      & ( ~ sk86
        | ( ZZJ @ p13 )
        | ~ ( ZZJ @ ( sk88 @ r1 ) )
        | sk83
        | ~ sk81
        | ~ sk79 )
      & ( ~ sk86
        | ( sk88 @ p13 )
        | sk83
        | ~ sk81
        | ~ sk79 )
      & ( ~ sk86
        | ~ ( sk88 @ p14 )
        | sk83
        | ~ sk81
        | ~ sk79 )
      & ( ~ sk86
        | ( sk88 @ ( sk87 @ r1 ) )
        | sk83
        | ~ sk81
        | ~ sk79 )
      & ( ~ sk86
        | ~ ( sk87 @ p13 )
        | sk83
        | ~ sk81
        | ~ sk79 )
      & ( ~ sk86
        | ( ZZI @ p14 )
        | ~ ( ZZI @ ( sk87 @ r1 ) )
        | sk83
        | ~ sk81
        | ~ sk79 )
      & ( ~ sk86
        | ( sk87 @ p14 )
        | sk83
        | ~ sk81
        | ~ sk79 )
      & ( ~ sk86
        | ( sk87 @ ( sk1 @ r1 ) )
        | sk83
        | ~ sk81
        | ~ sk79 )
      & ( ~ sk83
        | ( sk84 @ p13 )
        | ~ sk81
        | ~ sk79 )
      & ( ~ sk83
        | ( ZZH @ p13 )
        | ~ ( ZZH @ ( sk84 @ r1 ) )
        | ~ sk81
        | ~ sk79 )
      & ( ~ sk83
        | ( sk84 @ p13 )
        | ~ sk81
        | ~ sk79 )
      & ( ~ sk83
        | ~ ( sk84 @ p14 )
        | ~ sk81
        | ~ sk79 )
      & ( ~ sk83
        | ~ ( sk85 @ p13 )
        | ~ sk81
        | ~ sk79 )
      & ( ~ sk83
        | ( ZZG @ p14 )
        | ~ ( ZZG @ ( sk85 @ r1 ) )
        | ~ sk81
        | ~ sk79 )
      & ( ~ sk83
        | ( sk85 @ p14 )
        | ~ sk81
        | ~ sk79 )
      & ( ~ sk83
        | ( sk85 @ ( sk84 @ r1 ) )
        | ~ sk81
        | ~ sk79 )
      & ( ~ sk83
        | ( sk84 @ ( sk1 @ r1 ) )
        | ~ sk81
        | ~ sk79 )
      & ( sk81
        | ~ ( ZZF @ p13 )
        | ~ ( ZZF @ sk82 @ p13 )
        | ~ ( ZZF @ p13 )
        | ( ZZF @ p14 )
        | ~ ( ZZF @ ( sk1 @ r1 ) )
        | ~ sk79 )
      & ( sk81
        | ~ ( ZZF @ p13 )
        | ( ZZF @ sk82 @ ( ZZF @ r1 ) )
        | ~ ( ZZF @ p13 )
        | ( ZZF @ p14 )
        | ~ ( ZZF @ ( sk1 @ r1 ) )
        | ~ sk79 )
      & ( sk79
        | ( ZZE @ p13 )
        | ~ ( ZZE @ sk80 @ p14 )
        | ~ ( ZZE @ p14 )
        | ~ ( ZZE @ ( sk1 @ r1 ) ) )
      & ( sk79
        | ( ZZE @ p13 )
        | ( ZZE @ sk80 @ ( ZZE @ r1 ) )
        | ~ ( ZZE @ p14 )
        | ~ ( ZZE @ ( sk1 @ r1 ) ) )
      & ( ( sk78 @ p14 )
        | sk75
        | sk72
        | ~ sk70
        | ~ sk68 )
      & ( ( ZZD @ p14 )
        | ~ ( ZZD @ ( sk78 @ r1 ) )
        | sk75
        | sk72
        | ~ sk70
        | ~ sk68 )
      & ( ( sk78 @ p14 )
        | sk75
        | sk72
        | ~ sk70
        | ~ sk68 )
      & ( ~ ( sk78 @ p15 )
        | sk75
        | sk72
        | ~ sk70
        | ~ sk68 )
      & ( ~ ( sk78 @ p14 )
        | sk75
        | sk72
        | ~ sk70
        | ~ sk68 )
      & ( ( ZZC @ p15 )
        | ~ ( ZZC @ ( sk78 @ r1 ) )
        | sk75
        | sk72
        | ~ sk70
        | ~ sk68 )
      & ( ( sk78 @ p15 )
        | sk75
        | sk72
        | ~ sk70
        | ~ sk68 )
      & ( ( sk78 @ ( sk1 @ r1 ) )
        | sk75
        | sk72
        | ~ sk70
        | ~ sk68 )
      & ( ~ sk75
        | ( sk77 @ p14 )
        | sk72
        | ~ sk70
        | ~ sk68 )
      & ( ~ sk75
        | ( ZZB @ p14 )
        | ~ ( ZZB @ ( sk77 @ r1 ) )
        | sk72
        | ~ sk70
        | ~ sk68 )
      & ( ~ sk75
        | ( sk77 @ p14 )
        | sk72
        | ~ sk70
        | ~ sk68 )
      & ( ~ sk75
        | ~ ( sk77 @ p15 )
        | sk72
        | ~ sk70
        | ~ sk68 )
      & ( ~ sk75
        | ( sk77 @ ( sk76 @ r1 ) )
        | sk72
        | ~ sk70
        | ~ sk68 )
      & ( ~ sk75
        | ~ ( sk76 @ p14 )
        | sk72
        | ~ sk70
        | ~ sk68 )
      & ( ~ sk75
        | ( ZZA @ p15 )
        | ~ ( ZZA @ ( sk76 @ r1 ) )
        | sk72
        | ~ sk70
        | ~ sk68 )
      & ( ~ sk75
        | ( sk76 @ p15 )
        | sk72
        | ~ sk70
        | ~ sk68 )
      & ( ~ sk75
        | ( sk76 @ ( sk1 @ r1 ) )
        | sk72
        | ~ sk70
        | ~ sk68 )
      & ( ~ sk72
        | ( sk73 @ p14 )
        | ~ sk70
        | ~ sk68 )
      & ( ~ sk72
        | ( ZZ @ p14 )
        | ~ ( ZZ @ ( sk73 @ r1 ) )
        | ~ sk70
        | ~ sk68 )
      & ( ~ sk72
        | ( sk73 @ p14 )
        | ~ sk70
        | ~ sk68 )
      & ( ~ sk72
        | ~ ( sk73 @ p15 )
        | ~ sk70
        | ~ sk68 )
      & ( ~ sk72
        | ~ ( sk74 @ p14 )
        | ~ sk70
        | ~ sk68 )
      & ( ~ sk72
        | ( ZY @ p15 )
        | ~ ( ZY @ ( sk74 @ r1 ) )
        | ~ sk70
        | ~ sk68 )
      & ( ~ sk72
        | ( sk74 @ p15 )
        | ~ sk70
        | ~ sk68 )
      & ( ~ sk72
        | ( sk74 @ ( sk73 @ r1 ) )
        | ~ sk70
        | ~ sk68 )
      & ( ~ sk72
        | ( sk73 @ ( sk1 @ r1 ) )
        | ~ sk70
        | ~ sk68 )
      & ( sk70
        | ~ ( ZX @ p14 )
        | ~ ( ZX @ sk71 @ p14 )
        | ~ ( ZX @ p14 )
        | ( ZX @ p15 )
        | ~ ( ZX @ ( sk1 @ r1 ) )
        | ~ sk68 )
      & ( sk70
        | ~ ( ZX @ p14 )
        | ( ZX @ sk71 @ ( ZX @ r1 ) )
        | ~ ( ZX @ p14 )
        | ( ZX @ p15 )
        | ~ ( ZX @ ( sk1 @ r1 ) )
        | ~ sk68 )
      & ( sk68
        | ( ZW @ p14 )
        | ~ ( ZW @ sk69 @ p15 )
        | ~ ( ZW @ p15 )
        | ~ ( ZW @ ( sk1 @ r1 ) ) )
      & ( sk68
        | ( ZW @ p14 )
        | ( ZW @ sk69 @ ( ZW @ r1 ) )
        | ~ ( ZW @ p15 )
        | ~ ( ZW @ ( sk1 @ r1 ) ) )
      & ( ( sk67 @ p15 )
        | sk64
        | sk61
        | ~ sk59
        | ~ sk57 )
      & ( ( ZV @ p15 )
        | ~ ( ZV @ ( sk67 @ r1 ) )
        | sk64
        | sk61
        | ~ sk59
        | ~ sk57 )
      & ( ( sk67 @ p15 )
        | sk64
        | sk61
        | ~ sk59
        | ~ sk57 )
      & ( ~ ( sk67 @ p16 )
        | sk64
        | sk61
        | ~ sk59
        | ~ sk57 )
      & ( ~ ( sk67 @ p15 )
        | sk64
        | sk61
        | ~ sk59
        | ~ sk57 )
      & ( ( ZU @ p16 )
        | ~ ( ZU @ ( sk67 @ r1 ) )
        | sk64
        | sk61
        | ~ sk59
        | ~ sk57 )
      & ( ( sk67 @ p16 )
        | sk64
        | sk61
        | ~ sk59
        | ~ sk57 )
      & ( ( sk67 @ ( sk1 @ r1 ) )
        | sk64
        | sk61
        | ~ sk59
        | ~ sk57 )
      & ( ~ sk64
        | ( sk66 @ p15 )
        | sk61
        | ~ sk59
        | ~ sk57 )
      & ( ~ sk64
        | ( ZT @ p15 )
        | ~ ( ZT @ ( sk66 @ r1 ) )
        | sk61
        | ~ sk59
        | ~ sk57 )
      & ( ~ sk64
        | ( sk66 @ p15 )
        | sk61
        | ~ sk59
        | ~ sk57 )
      & ( ~ sk64
        | ~ ( sk66 @ p16 )
        | sk61
        | ~ sk59
        | ~ sk57 )
      & ( ~ sk64
        | ( sk66 @ ( sk65 @ r1 ) )
        | sk61
        | ~ sk59
        | ~ sk57 )
      & ( ~ sk64
        | ~ ( sk65 @ p15 )
        | sk61
        | ~ sk59
        | ~ sk57 )
      & ( ~ sk64
        | ( ZS @ p16 )
        | ~ ( ZS @ ( sk65 @ r1 ) )
        | sk61
        | ~ sk59
        | ~ sk57 )
      & ( ~ sk64
        | ( sk65 @ p16 )
        | sk61
        | ~ sk59
        | ~ sk57 )
      & ( ~ sk64
        | ( sk65 @ ( sk1 @ r1 ) )
        | sk61
        | ~ sk59
        | ~ sk57 )
      & ( ~ sk61
        | ( sk62 @ p15 )
        | ~ sk59
        | ~ sk57 )
      & ( ~ sk61
        | ( ZR @ p15 )
        | ~ ( ZR @ ( sk62 @ r1 ) )
        | ~ sk59
        | ~ sk57 )
      & ( ~ sk61
        | ( sk62 @ p15 )
        | ~ sk59
        | ~ sk57 )
      & ( ~ sk61
        | ~ ( sk62 @ p16 )
        | ~ sk59
        | ~ sk57 )
      & ( ~ sk61
        | ~ ( sk63 @ p15 )
        | ~ sk59
        | ~ sk57 )
      & ( ~ sk61
        | ( ZQ @ p16 )
        | ~ ( ZQ @ ( sk63 @ r1 ) )
        | ~ sk59
        | ~ sk57 )
      & ( ~ sk61
        | ( sk63 @ p16 )
        | ~ sk59
        | ~ sk57 )
      & ( ~ sk61
        | ( sk63 @ ( sk62 @ r1 ) )
        | ~ sk59
        | ~ sk57 )
      & ( ~ sk61
        | ( sk62 @ ( sk1 @ r1 ) )
        | ~ sk59
        | ~ sk57 )
      & ( sk59
        | ~ ( ZP @ p15 )
        | ~ ( ZP @ sk60 @ p15 )
        | ~ ( ZP @ p15 )
        | ( ZP @ p16 )
        | ~ ( ZP @ ( sk1 @ r1 ) )
        | ~ sk57 )
      & ( sk59
        | ~ ( ZP @ p15 )
        | ( ZP @ sk60 @ ( ZP @ r1 ) )
        | ~ ( ZP @ p15 )
        | ( ZP @ p16 )
        | ~ ( ZP @ ( sk1 @ r1 ) )
        | ~ sk57 )
      & ( sk57
        | ( ZO @ p15 )
        | ~ ( ZO @ sk58 @ p16 )
        | ~ ( ZO @ p16 )
        | ~ ( ZO @ ( sk1 @ r1 ) ) )
      & ( sk57
        | ( ZO @ p15 )
        | ( ZO @ sk58 @ ( ZO @ r1 ) )
        | ~ ( ZO @ p16 )
        | ~ ( ZO @ ( sk1 @ r1 ) ) )
      & ( ( sk56 @ p16 )
        | sk53
        | sk50
        | ~ sk48
        | ~ sk46 )
      & ( ( ZN @ p16 )
        | ~ ( ZN @ ( sk56 @ r1 ) )
        | sk53
        | sk50
        | ~ sk48
        | ~ sk46 )
      & ( ( sk56 @ p16 )
        | sk53
        | sk50
        | ~ sk48
        | ~ sk46 )
      & ( ~ ( sk56 @ p17 )
        | sk53
        | sk50
        | ~ sk48
        | ~ sk46 )
      & ( ~ ( sk56 @ p16 )
        | sk53
        | sk50
        | ~ sk48
        | ~ sk46 )
      & ( ( ZM @ p17 )
        | ~ ( ZM @ ( sk56 @ r1 ) )
        | sk53
        | sk50
        | ~ sk48
        | ~ sk46 )
      & ( ( sk56 @ p17 )
        | sk53
        | sk50
        | ~ sk48
        | ~ sk46 )
      & ( ( sk56 @ ( sk1 @ r1 ) )
        | sk53
        | sk50
        | ~ sk48
        | ~ sk46 )
      & ( ~ sk53
        | ( sk55 @ p16 )
        | sk50
        | ~ sk48
        | ~ sk46 )
      & ( ~ sk53
        | ( ZL @ p16 )
        | ~ ( ZL @ ( sk55 @ r1 ) )
        | sk50
        | ~ sk48
        | ~ sk46 )
      & ( ~ sk53
        | ( sk55 @ p16 )
        | sk50
        | ~ sk48
        | ~ sk46 )
      & ( ~ sk53
        | ~ ( sk55 @ p17 )
        | sk50
        | ~ sk48
        | ~ sk46 )
      & ( ~ sk53
        | ( sk55 @ ( sk54 @ r1 ) )
        | sk50
        | ~ sk48
        | ~ sk46 )
      & ( ~ sk53
        | ~ ( sk54 @ p16 )
        | sk50
        | ~ sk48
        | ~ sk46 )
      & ( ~ sk53
        | ( ZK @ p17 )
        | ~ ( ZK @ ( sk54 @ r1 ) )
        | sk50
        | ~ sk48
        | ~ sk46 )
      & ( ~ sk53
        | ( sk54 @ p17 )
        | sk50
        | ~ sk48
        | ~ sk46 )
      & ( ~ sk53
        | ( sk54 @ ( sk1 @ r1 ) )
        | sk50
        | ~ sk48
        | ~ sk46 )
      & ( ~ sk50
        | ( sk51 @ p16 )
        | ~ sk48
        | ~ sk46 )
      & ( ~ sk50
        | ( ZJ @ p16 )
        | ~ ( ZJ @ ( sk51 @ r1 ) )
        | ~ sk48
        | ~ sk46 )
      & ( ~ sk50
        | ( sk51 @ p16 )
        | ~ sk48
        | ~ sk46 )
      & ( ~ sk50
        | ~ ( sk51 @ p17 )
        | ~ sk48
        | ~ sk46 )
      & ( ~ sk50
        | ~ ( sk52 @ p16 )
        | ~ sk48
        | ~ sk46 )
      & ( ~ sk50
        | ( ZI @ p17 )
        | ~ ( ZI @ ( sk52 @ r1 ) )
        | ~ sk48
        | ~ sk46 )
      & ( ~ sk50
        | ( sk52 @ p17 )
        | ~ sk48
        | ~ sk46 )
      & ( ~ sk50
        | ( sk52 @ ( sk51 @ r1 ) )
        | ~ sk48
        | ~ sk46 )
      & ( ~ sk50
        | ( sk51 @ ( sk1 @ r1 ) )
        | ~ sk48
        | ~ sk46 )
      & ( sk48
        | ~ ( ZH @ p16 )
        | ~ ( ZH @ sk49 @ p16 )
        | ~ ( ZH @ p16 )
        | ( ZH @ p17 )
        | ~ ( ZH @ ( sk1 @ r1 ) )
        | ~ sk46 )
      & ( sk48
        | ~ ( ZH @ p16 )
        | ( ZH @ sk49 @ ( ZH @ r1 ) )
        | ~ ( ZH @ p16 )
        | ( ZH @ p17 )
        | ~ ( ZH @ ( sk1 @ r1 ) )
        | ~ sk46 )
      & ( sk46
        | ( ZG @ p16 )
        | ~ ( ZG @ sk47 @ p17 )
        | ~ ( ZG @ p17 )
        | ~ ( ZG @ ( sk1 @ r1 ) ) )
      & ( sk46
        | ( ZG @ p16 )
        | ( ZG @ sk47 @ ( ZG @ r1 ) )
        | ~ ( ZG @ p17 )
        | ~ ( ZG @ ( sk1 @ r1 ) ) )
      & ( ( sk45 @ p17 )
        | sk42
        | sk39
        | ~ sk37
        | ~ sk35 )
      & ( ( ZF @ p17 )
        | ~ ( ZF @ ( sk45 @ r1 ) )
        | sk42
        | sk39
        | ~ sk37
        | ~ sk35 )
      & ( ( sk45 @ p17 )
        | sk42
        | sk39
        | ~ sk37
        | ~ sk35 )
      & ( ~ ( sk45 @ p18 )
        | sk42
        | sk39
        | ~ sk37
        | ~ sk35 )
      & ( ~ ( sk45 @ p17 )
        | sk42
        | sk39
        | ~ sk37
        | ~ sk35 )
      & ( ( ZE @ p18 )
        | ~ ( ZE @ ( sk45 @ r1 ) )
        | sk42
        | sk39
        | ~ sk37
        | ~ sk35 )
      & ( ( sk45 @ p18 )
        | sk42
        | sk39
        | ~ sk37
        | ~ sk35 )
      & ( ( sk45 @ ( sk1 @ r1 ) )
        | sk42
        | sk39
        | ~ sk37
        | ~ sk35 )
      & ( ~ sk42
        | ( sk44 @ p17 )
        | sk39
        | ~ sk37
        | ~ sk35 )
      & ( ~ sk42
        | ( ZD @ p17 )
        | ~ ( ZD @ ( sk44 @ r1 ) )
        | sk39
        | ~ sk37
        | ~ sk35 )
      & ( ~ sk42
        | ( sk44 @ p17 )
        | sk39
        | ~ sk37
        | ~ sk35 )
      & ( ~ sk42
        | ~ ( sk44 @ p18 )
        | sk39
        | ~ sk37
        | ~ sk35 )
      & ( ~ sk42
        | ( sk44 @ ( sk43 @ r1 ) )
        | sk39
        | ~ sk37
        | ~ sk35 )
      & ( ~ sk42
        | ~ ( sk43 @ p17 )
        | sk39
        | ~ sk37
        | ~ sk35 )
      & ( ~ sk42
        | ( ZC @ p18 )
        | ~ ( ZC @ ( sk43 @ r1 ) )
        | sk39
        | ~ sk37
        | ~ sk35 )
      & ( ~ sk42
        | ( sk43 @ p18 )
        | sk39
        | ~ sk37
        | ~ sk35 )
      & ( ~ sk42
        | ( sk43 @ ( sk1 @ r1 ) )
        | sk39
        | ~ sk37
        | ~ sk35 )
      & ( ~ sk39
        | ( sk40 @ p17 )
        | ~ sk37
        | ~ sk35 )
      & ( ~ sk39
        | ( ZB @ p17 )
        | ~ ( ZB @ ( sk40 @ r1 ) )
        | ~ sk37
        | ~ sk35 )
      & ( ~ sk39
        | ( sk40 @ p17 )
        | ~ sk37
        | ~ sk35 )
      & ( ~ sk39
        | ~ ( sk40 @ p18 )
        | ~ sk37
        | ~ sk35 )
      & ( ~ sk39
        | ~ ( sk41 @ p17 )
        | ~ sk37
        | ~ sk35 )
      & ( ~ sk39
        | ( ZA @ p18 )
        | ~ ( ZA @ ( sk41 @ r1 ) )
        | ~ sk37
        | ~ sk35 )
      & ( ~ sk39
        | ( sk41 @ p18 )
        | ~ sk37
        | ~ sk35 )
      & ( ~ sk39
        | ( sk41 @ ( sk40 @ r1 ) )
        | ~ sk37
        | ~ sk35 )
      & ( ~ sk39
        | ( sk40 @ ( sk1 @ r1 ) )
        | ~ sk37
        | ~ sk35 )
      & ( sk37
        | ~ ( Z @ p17 )
        | ~ ( Z @ sk38 @ p17 )
        | ~ ( Z @ p17 )
        | ( Z @ p18 )
        | ~ ( Z @ ( sk1 @ r1 ) )
        | ~ sk35 )
      & ( sk37
        | ~ ( Z @ p17 )
        | ( Z @ sk38 @ ( Z @ r1 ) )
        | ~ ( Z @ p17 )
        | ( Z @ p18 )
        | ~ ( Z @ ( sk1 @ r1 ) )
        | ~ sk35 )
      & ( sk35
        | ( Y @ p17 )
        | ~ ( Y @ sk36 @ p18 )
        | ~ ( Y @ p18 )
        | ~ ( Y @ ( sk1 @ r1 ) ) )
      & ( sk35
        | ( Y @ p17 )
        | ( Y @ sk36 @ ( Y @ r1 ) )
        | ~ ( Y @ p18 )
        | ~ ( Y @ ( sk1 @ r1 ) ) )
      & ( ( sk34 @ p18 )
        | sk31
        | sk28
        | ~ sk26
        | ~ sk24 )
      & ( ( X @ p18 )
        | ~ ( X @ ( sk34 @ r1 ) )
        | sk31
        | sk28
        | ~ sk26
        | ~ sk24 )
      & ( ( sk34 @ p18 )
        | sk31
        | sk28
        | ~ sk26
        | ~ sk24 )
      & ( ~ ( sk34 @ p19 )
        | sk31
        | sk28
        | ~ sk26
        | ~ sk24 )
      & ( ~ ( sk34 @ p18 )
        | sk31
        | sk28
        | ~ sk26
        | ~ sk24 )
      & ( ( W @ p19 )
        | ~ ( W @ ( sk34 @ r1 ) )
        | sk31
        | sk28
        | ~ sk26
        | ~ sk24 )
      & ( ( sk34 @ p19 )
        | sk31
        | sk28
        | ~ sk26
        | ~ sk24 )
      & ( ( sk34 @ ( sk1 @ r1 ) )
        | sk31
        | sk28
        | ~ sk26
        | ~ sk24 )
      & ( ~ sk31
        | ( sk33 @ p18 )
        | sk28
        | ~ sk26
        | ~ sk24 )
      & ( ~ sk31
        | ( V @ p18 )
        | ~ ( V @ ( sk33 @ r1 ) )
        | sk28
        | ~ sk26
        | ~ sk24 )
      & ( ~ sk31
        | ( sk33 @ p18 )
        | sk28
        | ~ sk26
        | ~ sk24 )
      & ( ~ sk31
        | ~ ( sk33 @ p19 )
        | sk28
        | ~ sk26
        | ~ sk24 )
      & ( ~ sk31
        | ( sk33 @ ( sk32 @ r1 ) )
        | sk28
        | ~ sk26
        | ~ sk24 )
      & ( ~ sk31
        | ~ ( sk32 @ p18 )
        | sk28
        | ~ sk26
        | ~ sk24 )
      & ( ~ sk31
        | ( U @ p19 )
        | ~ ( U @ ( sk32 @ r1 ) )
        | sk28
        | ~ sk26
        | ~ sk24 )
      & ( ~ sk31
        | ( sk32 @ p19 )
        | sk28
        | ~ sk26
        | ~ sk24 )
      & ( ~ sk31
        | ( sk32 @ ( sk1 @ r1 ) )
        | sk28
        | ~ sk26
        | ~ sk24 )
      & ( ~ sk28
        | ( sk29 @ p18 )
        | ~ sk26
        | ~ sk24 )
      & ( ~ sk28
        | ( T @ p18 )
        | ~ ( T @ ( sk29 @ r1 ) )
        | ~ sk26
        | ~ sk24 )
      & ( ~ sk28
        | ( sk29 @ p18 )
        | ~ sk26
        | ~ sk24 )
      & ( ~ sk28
        | ~ ( sk29 @ p19 )
        | ~ sk26
        | ~ sk24 )
      & ( ~ sk28
        | ~ ( sk30 @ p18 )
        | ~ sk26
        | ~ sk24 )
      & ( ~ sk28
        | ( S @ p19 )
        | ~ ( S @ ( sk30 @ r1 ) )
        | ~ sk26
        | ~ sk24 )
      & ( ~ sk28
        | ( sk30 @ p19 )
        | ~ sk26
        | ~ sk24 )
      & ( ~ sk28
        | ( sk30 @ ( sk29 @ r1 ) )
        | ~ sk26
        | ~ sk24 )
      & ( ~ sk28
        | ( sk29 @ ( sk1 @ r1 ) )
        | ~ sk26
        | ~ sk24 )
      & ( sk26
        | ~ ( R @ p18 )
        | ~ ( R @ sk27 @ p18 )
        | ~ ( R @ p18 )
        | ( R @ p19 )
        | ~ ( R @ ( sk1 @ r1 ) )
        | ~ sk24 )
      & ( sk26
        | ~ ( R @ p18 )
        | ( R @ sk27 @ ( R @ r1 ) )
        | ~ ( R @ p18 )
        | ( R @ p19 )
        | ~ ( R @ ( sk1 @ r1 ) )
        | ~ sk24 )
      & ( sk24
        | ( Q @ p18 )
        | ~ ( Q @ sk25 @ p19 )
        | ~ ( Q @ p19 )
        | ~ ( Q @ ( sk1 @ r1 ) ) )
      & ( sk24
        | ( Q @ p18 )
        | ( Q @ sk25 @ ( Q @ r1 ) )
        | ~ ( Q @ p19 )
        | ~ ( Q @ ( sk1 @ r1 ) ) )
      & ( ( sk23 @ p19 )
        | sk20
        | sk17
        | ~ sk15
        | ~ sk13 )
      & ( ( P @ p19 )
        | ~ ( P @ ( sk23 @ r1 ) )
        | sk20
        | sk17
        | ~ sk15
        | ~ sk13 )
      & ( ( sk23 @ p19 )
        | sk20
        | sk17
        | ~ sk15
        | ~ sk13 )
      & ( ~ ( sk23 @ p20 )
        | sk20
        | sk17
        | ~ sk15
        | ~ sk13 )
      & ( ~ ( sk23 @ p19 )
        | sk20
        | sk17
        | ~ sk15
        | ~ sk13 )
      & ( ( O @ p20 )
        | ~ ( O @ ( sk23 @ r1 ) )
        | sk20
        | sk17
        | ~ sk15
        | ~ sk13 )
      & ( ( sk23 @ p20 )
        | sk20
        | sk17
        | ~ sk15
        | ~ sk13 )
      & ( ( sk23 @ ( sk1 @ r1 ) )
        | sk20
        | sk17
        | ~ sk15
        | ~ sk13 )
      & ( ~ sk20
        | ( sk22 @ p19 )
        | sk17
        | ~ sk15
        | ~ sk13 )
      & ( ~ sk20
        | ( N @ p19 )
        | ~ ( N @ ( sk22 @ r1 ) )
        | sk17
        | ~ sk15
        | ~ sk13 )
      & ( ~ sk20
        | ( sk22 @ p19 )
        | sk17
        | ~ sk15
        | ~ sk13 )
      & ( ~ sk20
        | ~ ( sk22 @ p20 )
        | sk17
        | ~ sk15
        | ~ sk13 )
      & ( ~ sk20
        | ( sk22 @ ( sk21 @ r1 ) )
        | sk17
        | ~ sk15
        | ~ sk13 )
      & ( ~ sk20
        | ~ ( sk21 @ p19 )
        | sk17
        | ~ sk15
        | ~ sk13 )
      & ( ~ sk20
        | ( M @ p20 )
        | ~ ( M @ ( sk21 @ r1 ) )
        | sk17
        | ~ sk15
        | ~ sk13 )
      & ( ~ sk20
        | ( sk21 @ p20 )
        | sk17
        | ~ sk15
        | ~ sk13 )
      & ( ~ sk20
        | ( sk21 @ ( sk1 @ r1 ) )
        | sk17
        | ~ sk15
        | ~ sk13 )
      & ( ~ sk17
        | ( sk18 @ p19 )
        | ~ sk15
        | ~ sk13 )
      & ( ~ sk17
        | ( L @ p19 )
        | ~ ( L @ ( sk18 @ r1 ) )
        | ~ sk15
        | ~ sk13 )
      & ( ~ sk17
        | ( sk18 @ p19 )
        | ~ sk15
        | ~ sk13 )
      & ( ~ sk17
        | ~ ( sk18 @ p20 )
        | ~ sk15
        | ~ sk13 )
      & ( ~ sk17
        | ~ ( sk19 @ p19 )
        | ~ sk15
        | ~ sk13 )
      & ( ~ sk17
        | ( K @ p20 )
        | ~ ( K @ ( sk19 @ r1 ) )
        | ~ sk15
        | ~ sk13 )
      & ( ~ sk17
        | ( sk19 @ p20 )
        | ~ sk15
        | ~ sk13 )
      & ( ~ sk17
        | ( sk19 @ ( sk18 @ r1 ) )
        | ~ sk15
        | ~ sk13 )
      & ( ~ sk17
        | ( sk18 @ ( sk1 @ r1 ) )
        | ~ sk15
        | ~ sk13 )
      & ( sk15
        | ~ ( J @ p19 )
        | ~ ( J @ sk16 @ p19 )
        | ~ ( J @ p19 )
        | ( J @ p20 )
        | ~ ( J @ ( sk1 @ r1 ) )
        | ~ sk13 )
      & ( sk15
        | ~ ( J @ p19 )
        | ( J @ sk16 @ ( J @ r1 ) )
        | ~ ( J @ p19 )
        | ( J @ p20 )
        | ~ ( J @ ( sk1 @ r1 ) )
        | ~ sk13 )
      & ( sk13
        | ( I @ p19 )
        | ~ ( I @ sk14 @ p20 )
        | ~ ( I @ p20 )
        | ~ ( I @ ( sk1 @ r1 ) ) )
      & ( sk13
        | ( I @ p19 )
        | ( I @ sk14 @ ( I @ r1 ) )
        | ~ ( I @ p20 )
        | ~ ( I @ ( sk1 @ r1 ) ) )
      & ( ( sk12 @ p20 )
        | sk9
        | sk6
        | ~ sk4
        | ~ sk2 )
      & ( ( H @ p20 )
        | ~ ( H @ ( sk12 @ r1 ) )
        | sk9
        | sk6
        | ~ sk4
        | ~ sk2 )
      & ( ( sk12 @ p20 )
        | sk9
        | sk6
        | ~ sk4
        | ~ sk2 )
      & ( ~ ( sk12 @ p21 )
        | sk9
        | sk6
        | ~ sk4
        | ~ sk2 )
      & ( ~ ( sk12 @ p20 )
        | sk9
        | sk6
        | ~ sk4
        | ~ sk2 )
      & ( ( G @ p21 )
        | ~ ( G @ ( sk12 @ r1 ) )
        | sk9
        | sk6
        | ~ sk4
        | ~ sk2 )
      & ( ( sk12 @ p21 )
        | sk9
        | sk6
        | ~ sk4
        | ~ sk2 )
      & ( ( sk12 @ ( sk1 @ r1 ) )
        | sk9
        | sk6
        | ~ sk4
        | ~ sk2 )
      & ( ~ sk9
        | ( sk11 @ p20 )
        | sk6
        | ~ sk4
        | ~ sk2 )
      & ( ~ sk9
        | ( F @ p20 )
        | ~ ( F @ ( sk11 @ r1 ) )
        | sk6
        | ~ sk4
        | ~ sk2 )
      & ( ~ sk9
        | ( sk11 @ p20 )
        | sk6
        | ~ sk4
        | ~ sk2 )
      & ( ~ sk9
        | ~ ( sk11 @ p21 )
        | sk6
        | ~ sk4
        | ~ sk2 )
      & ( ~ sk9
        | ( sk11 @ ( sk10 @ r1 ) )
        | sk6
        | ~ sk4
        | ~ sk2 )
      & ( ~ sk9
        | ~ ( sk10 @ p20 )
        | sk6
        | ~ sk4
        | ~ sk2 )
      & ( ~ sk9
        | ( E @ p21 )
        | ~ ( E @ ( sk10 @ r1 ) )
        | sk6
        | ~ sk4
        | ~ sk2 )
      & ( ~ sk9
        | ( sk10 @ p21 )
        | sk6
        | ~ sk4
        | ~ sk2 )
      & ( ~ sk9
        | ( sk10 @ ( sk1 @ r1 ) )
        | sk6
        | ~ sk4
        | ~ sk2 )
      & ( ~ sk6
        | ( sk7 @ p20 )
        | ~ sk4
        | ~ sk2 )
      & ( ~ sk6
        | ( D @ p20 )
        | ~ ( D @ ( sk7 @ r1 ) )
        | ~ sk4
        | ~ sk2 )
      & ( ~ sk6
        | ( sk7 @ p20 )
        | ~ sk4
        | ~ sk2 )
      & ( ~ sk6
        | ~ ( sk7 @ p21 )
        | ~ sk4
        | ~ sk2 )
      & ( ~ sk6
        | ~ ( sk8 @ p20 )
        | ~ sk4
        | ~ sk2 )
      & ( ~ sk6
        | ( C @ p21 )
        | ~ ( C @ ( sk8 @ r1 ) )
        | ~ sk4
        | ~ sk2 )
      & ( ~ sk6
        | ( sk8 @ p21 )
        | ~ sk4
        | ~ sk2 )
      & ( ~ sk6
        | ( sk8 @ ( sk7 @ r1 ) )
        | ~ sk4
        | ~ sk2 )
      & ( ~ sk6
        | ( sk7 @ ( sk1 @ r1 ) )
        | ~ sk4
        | ~ sk2 )
      & ( sk4
        | ~ ( B @ p20 )
        | ~ ( B @ sk5 @ p20 )
        | ~ ( B @ p20 )
        | ( B @ p21 )
        | ~ ( B @ ( sk1 @ r1 ) )
        | ~ sk2 )
      & ( sk4
        | ~ ( B @ p20 )
        | ( B @ sk5 @ ( B @ r1 ) )
        | ~ ( B @ p20 )
        | ( B @ p21 )
        | ~ ( B @ ( sk1 @ r1 ) )
        | ~ sk2 )
      & ( sk2
        | ( A @ p20 )
        | ~ ( A @ sk3 @ p21 )
        | ~ ( A @ p21 )
        | ~ ( A @ ( sk1 @ r1 ) ) )
      & ( sk2
        | ( A @ p20 )
        | ( A @ sk3 @ ( A @ r1 ) )
        | ~ ( A @ p21 )
        | ~ ( A @ ( sk1 @ r1 ) ) ) ),
    inference(cnf,[status(esa)],[5]) ).

thf(206,plain,
    sk157 @ p20,
    inference(cnfConj,[status(thm)],[6]) ).

thf(36,plain,
    ~ ( sk157 @ p20 ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(758,plain,
    $false,
    inference(rewrite,[status(thm)],[206,36]) ).

thf(759,plain,
    $false,
    inference(simp,[status(thm)],[758]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL644+1.020 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.13/5.39  % Computer : n019.cluster.edu
% 0.13/5.39  % Model    : x86_64 x86_64
% 0.13/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.39  % Memory   : 8046.5625MB
% 0.13/5.39  % OS       : Linux 6.8.0-71-generic
% 0.13/5.39  % CPULimit : 300
% 0.13/5.39  % WCLimit  : 300
% 0.13/5.39  % DateTime : Fri Sep 25 22:54:55 UTC 2026
% 0.16/5.40  % CPUTime  : 
% 0.16/5.40  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.16/5.99  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.82/6.31  % [INFO] 	 Parsing done (311ms). 
% 1.82/6.32  % [INFO] 	 Running in sequential loop mode. 
% 2.62/6.73  % [INFO] 	 eprover registered as external prover. 
% 2.62/6.73  % [INFO] 	 Scanning for conjecture ... 
% 3.38/7.11  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 3.71/7.21  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 3.71/7.22  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 3.71/7.24  % [INFO] 	 Type checking passed. 
% 3.71/7.25  % [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 ... 
% 13.36/12.38  % [INFO] 	 Killing All external provers ... 
% 13.36/12.39  % Time passed: 6839ms (effective reasoning time: 6057ms)
% 13.36/12.39  % 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)>
% 13.36/12.39  % Axioms used in derivation (0): 
% 13.36/12.39  % No. of inferences in proof: 10
% 13.36/12.39  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 6839 ms resp. 6057 ms w/o parsing
% 16.07/13.12  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 16.39/13.13  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------