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Satallax---3.5.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : SYO181^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  9 03:25:04 PM UTC 2025

% Result   : Theorem 14.03s 14.24s
% Output   : Proof 14.03s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
thf(ty_q20,type,
    q20: $o ).

thf(ty_q45,type,
    q45: $o ).

thf(ty_q54,type,
    q54: $o ).

thf(ty_p37,type,
    p37: $o ).

thf(ty_p35,type,
    p35: $o ).

thf(ty_p12,type,
    p12: $o ).

thf(ty_q64,type,
    q64: $o ).

thf(ty_q22,type,
    q22: $o ).

thf(ty_p43,type,
    p43: $o ).

thf(ty_q46,type,
    q46: $o ).

thf(ty_q14,type,
    q14: $o ).

thf(ty_p25,type,
    p25: $o ).

thf(ty_p13,type,
    p13: $o ).

thf(ty_q61,type,
    q61: $o ).

thf(ty_p02,type,
    p02: $o ).

thf(ty_p65,type,
    p65: $o ).

thf(ty_p42,type,
    p42: $o ).

thf(ty_q02,type,
    q02: $o ).

thf(ty_p04,type,
    p04: $o ).

thf(ty_q06,type,
    q06: $o ).

thf(ty_p60,type,
    p60: $o ).

thf(ty_q16,type,
    q16: $o ).

thf(ty_p40,type,
    p40: $o ).

thf(ty_p53,type,
    p53: $o ).

thf(ty_p14,type,
    p14: $o ).

thf(ty_p57,type,
    p57: $o ).

thf(ty_q23,type,
    q23: $o ).

thf(ty_p45,type,
    p45: $o ).

thf(ty_q71,type,
    q71: $o ).

thf(ty_q04,type,
    q04: $o ).

thf(ty_p33,type,
    p33: $o ).

thf(ty_p10,type,
    p10: $o ).

thf(ty_q15,type,
    q15: $o ).

thf(ty_q41,type,
    q41: $o ).

thf(ty_p16,type,
    p16: $o ).

thf(ty_q56,type,
    q56: $o ).

thf(ty_q51,type,
    q51: $o ).

thf(ty_p32,type,
    p32: $o ).

thf(ty_p34,type,
    p34: $o ).

thf(ty_q44,type,
    q44: $o ).

thf(ty_p51,type,
    p51: $o ).

thf(ty_p05,type,
    p05: $o ).

thf(ty_p47,type,
    p47: $o ).

thf(ty_q50,type,
    q50: $o ).

thf(ty_p61,type,
    p61: $o ).

thf(ty_p30,type,
    p30: $o ).

thf(ty_q73,type,
    q73: $o ).

thf(ty_p07,type,
    p07: $o ).

thf(ty_q60,type,
    q60: $o ).

thf(ty_p21,type,
    p21: $o ).

thf(ty_p23,type,
    p23: $o ).

thf(ty_q65,type,
    q65: $o ).

thf(ty_p41,type,
    p41: $o ).

thf(ty_p17,type,
    p17: $o ).

thf(ty_q70,type,
    q70: $o ).

thf(ty_q40,type,
    q40: $o ).

thf(ty_q42,type,
    q42: $o ).

thf(ty_p27,type,
    p27: $o ).

thf(ty_p54,type,
    p54: $o ).

thf(ty_q52,type,
    q52: $o ).

thf(ty_p52,type,
    p52: $o ).

thf(ty_p64,type,
    p64: $o ).

thf(ty_q31,type,
    q31: $o ).

thf(ty_q74,type,
    q74: $o ).

thf(ty_p15,type,
    p15: $o ).

thf(ty_q63,type,
    q63: $o ).

thf(ty_q35,type,
    q35: $o ).

thf(ty_q30,type,
    q30: $o ).

thf(ty_q12,type,
    q12: $o ).

thf(ty_p46,type,
    p46: $o ).

thf(ty_q75,type,
    q75: $o ).

thf(ty_p11,type,
    p11: $o ).

thf(ty_q55,type,
    q55: $o ).

thf(ty_q26,type,
    q26: $o ).

thf(ty_p06,type,
    p06: $o ).

thf(ty_p44,type,
    p44: $o ).

thf(ty_p24,type,
    p24: $o ).

thf(ty_p03,type,
    p03: $o ).

thf(ty_q36,type,
    q36: $o ).

thf(ty_q34,type,
    q34: $o ).

thf(ty_q25,type,
    q25: $o ).

thf(ty_q11,type,
    q11: $o ).

thf(ty_p20,type,
    p20: $o ).

thf(ty_p22,type,
    p22: $o ).

thf(ty_q03,type,
    q03: $o ).

thf(ty_q21,type,
    q21: $o ).

thf(ty_q72,type,
    q72: $o ).

thf(ty_p31,type,
    p31: $o ).

thf(ty_p62,type,
    p62: $o ).

thf(ty_q13,type,
    q13: $o ).

thf(ty_q43,type,
    q43: $o ).

thf(ty_p55,type,
    p55: $o ).

thf(ty_p01,type,
    p01: $o ).

thf(ty_q62,type,
    q62: $o ).

thf(ty_q01,type,
    q01: $o ).

thf(ty_q32,type,
    q32: $o ).

thf(ty_q05,type,
    q05: $o ).

thf(ty_q66,type,
    q66: $o ).

thf(ty_q53,type,
    q53: $o ).

thf(ty_p63,type,
    p63: $o ).

thf(ty_q33,type,
    q33: $o ).

thf(ty_q24,type,
    q24: $o ).

thf(ty_q10,type,
    q10: $o ).

thf(ty_p26,type,
    p26: $o ).

thf(ty_p56,type,
    p56: $o ).

thf(ty_p50,type,
    p50: $o ).

thf(ty_p66,type,
    p66: $o ).

thf(ty_p36,type,
    p36: $o ).

thf(sP1,plain,
    ( sP1
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( p01
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           => ~ p11 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p02
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ p12 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p03
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ p13 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p04
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ p14 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p05
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ p15 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p06
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ p16 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p07
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ p17 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p10
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ p20 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p11
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p01
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p21 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p12
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p02
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p22 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p13
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p03
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p23 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p14
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p04
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p24 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p15
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p05
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p25 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p16
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p06
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p26 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p17
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p07
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p27 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p20
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p10
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p30 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p21
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p11
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p31 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p22
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p12
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p32 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p23
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p13
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p33 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p24
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p14
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p34 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p25
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p15
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p35 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p26
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p16
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p36 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p27
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p17
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p37 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p30
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p20
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p40 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p31
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p21
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p41 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p32
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p22
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p42 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p33
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p23
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p43 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p34
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p24
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p44 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p35
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p25
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p45 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p36
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p26
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p46 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p37
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p27
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p47 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p40
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p30
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p50 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p41
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p31
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p51 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p42
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p32
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p52 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p43
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p33
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p53 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p44
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p34
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p54 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p45
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p35
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p55 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p46
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p36
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p56 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p47
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p37
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p57 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p50
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p40
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p60 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p51
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p41
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p61 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p52
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p42
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p62 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p53
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p43
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p63 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p54
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p44
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p64 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ p50 ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ p52 ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ p53 ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ q02 ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q01
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q05 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q05
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q06 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ q05 ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ q11 ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q12 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q11
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q13 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q12
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q14 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q13
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q15 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q14
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q16 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ q15 ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ q21 ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q20
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q22 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q21
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q23 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q22
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q24 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q23
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q25 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q25
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q24
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q26 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q26
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ q25 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q30
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ q31 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q31
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q30
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q32 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q32
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q31
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q33 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q33
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q32
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q34 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q34
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q33
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q35 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q35
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q34
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q36 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q36
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ q35 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q40
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ q41 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q41
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q40
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q42 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q42
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q41
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q43 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q43
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q44 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q44
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q45 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q45
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q44
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q46 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q46
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ q45 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q50
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ q51 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q51
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q50
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q52 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q52
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q51
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q53 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q53
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q52
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q54 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q54
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q53
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q55 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q55
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q54
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q56 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q56
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ q55 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q60
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ q61 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q61
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q62
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q63
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q64
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q65 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q65
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q64
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q66 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q66
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ q65 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q70
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ q71 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q71
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q72 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q72
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q73 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q73
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q74
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q75
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ q74 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p01
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p02
                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q02
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q01 )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q12 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p03
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q02 )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q13 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p04
                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q04
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q03 )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q14 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p05
                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q05
                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q04 )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q15 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p06
                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q06
                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q05 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q15 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q16 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p07
                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q06
                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q16 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p10
                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q10
                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q20 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p11
                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q11
                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q10 )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q21 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p12
                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q12
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                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q21 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q22 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p13
                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q13
                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q12 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q22 )
                                                                                                                                                                                                                                                                                                                                                                                                                                             => q23 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p14
                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q14
                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q13 )
                                                                                                                                                                                                                                                                                                                                                                                                                                             => q23 )
                                                                                                                                                                                                                                                                                                                                                                                                                                         => q24 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p15
                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q15
                                                                                                                                                                                                                                                                                                                                                                                                                                             => q14 )
                                                                                                                                                                                                                                                                                                                                                                                                                                         => q24 )
                                                                                                                                                                                                                                                                                                                                                                                                                                     => q25 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p16
                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q16
                                                                                                                                                                                                                                                                                                                                                                                                                                         => q15 )
                                                                                                                                                                                                                                                                                                                                                                                                                                     => q25 )
                                                                                                                                                                                                                                                                                                                                                                                                                                 => q26 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p17
                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q16
                                                                                                                                                                                                                                                                                                                                                                                                                             => q26 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p20
                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q20
                                                                                                                                                                                                                                                                                                                                                                                                                         => q30 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p21
                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q21
                                                                                                                                                                                                                                                                                                                                                                                                                             => q20 )
                                                                                                                                                                                                                                                                                                                                                                                                                         => q30 )
                                                                                                                                                                                                                                                                                                                                                                                                                     => q31 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p22
                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q22
                                                                                                                                                                                                                                                                                                                                                                                                                         => q21 )
                                                                                                                                                                                                                                                                                                                                                                                                                     => q31 )
                                                                                                                                                                                                                                                                                                                                                                                                                 => q32 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p23
                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q23
                                                                                                                                                                                                                                                                                                                                                                                                                     => q22 )
                                                                                                                                                                                                                                                                                                                                                                                                                 => q32 )
                                                                                                                                                                                                                                                                                                                                                                                                             => q33 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p24
                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q24
                                                                                                                                                                                                                                                                                                                                                                                                                 => q23 )
                                                                                                                                                                                                                                                                                                                                                                                                             => q33 )
                                                                                                                                                                                                                                                                                                                                                                                                         => q34 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p25
                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q25
                                                                                                                                                                                                                                                                                                                                                                                                             => q24 )
                                                                                                                                                                                                                                                                                                                                                                                                         => q34 )
                                                                                                                                                                                                                                                                                                                                                                                                     => q35 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p26
                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q26
                                                                                                                                                                                                                                                                                                                                                                                                         => q25 )
                                                                                                                                                                                                                                                                                                                                                                                                     => q35 )
                                                                                                                                                                                                                                                                                                                                                                                                 => q36 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p27
                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q26
                                                                                                                                                                                                                                                                                                                                                                                             => q36 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p30
                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q30
                                                                                                                                                                                                                                                                                                                                                                                         => q40 ) ) )
                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p31
                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q31
                                                                                                                                                                                                                                                                                                                                                                                             => q30 )
                                                                                                                                                                                                                                                                                                                                                                                         => q40 )
                                                                                                                                                                                                                                                                                                                                                                                     => q41 ) ) )
                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p32
                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q32
                                                                                                                                                                                                                                                                                                                                                                                         => q31 )
                                                                                                                                                                                                                                                                                                                                                                                     => q41 )
                                                                                                                                                                                                                                                                                                                                                                                 => q42 ) ) )
                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p33
                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q33
                                                                                                                                                                                                                                                                                                                                                                                     => q32 )
                                                                                                                                                                                                                                                                                                                                                                                 => q42 )
                                                                                                                                                                                                                                                                                                                                                                             => q43 ) ) )
                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p34
                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q34
                                                                                                                                                                                                                                                                                                                                                                                 => q33 )
                                                                                                                                                                                                                                                                                                                                                                             => q43 )
                                                                                                                                                                                                                                                                                                                                                                         => q44 ) ) )
                                                                                                                                                                                                                                                                                                                                                             => ~ ( p35
                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q35
                                                                                                                                                                                                                                                                                                                                                                             => q34 )
                                                                                                                                                                                                                                                                                                                                                                         => q44 )
                                                                                                                                                                                                                                                                                                                                                                     => q45 ) ) )
                                                                                                                                                                                                                                                                                                                                                         => ~ ( p36
                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q36
                                                                                                                                                                                                                                                                                                                                                                         => q35 )
                                                                                                                                                                                                                                                                                                                                                                     => q45 )
                                                                                                                                                                                                                                                                                                                                                                 => q46 ) ) )
                                                                                                                                                                                                                                                                                                                                                     => ~ ( p37
                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q36
                                                                                                                                                                                                                                                                                                                                                             => q46 ) ) )
                                                                                                                                                                                                                                                                                                                                                 => ~ ( p40
                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q40
                                                                                                                                                                                                                                                                                                                                                         => q50 ) ) )
                                                                                                                                                                                                                                                                                                                                             => ~ ( p41
                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q41
                                                                                                                                                                                                                                                                                                                                                             => q40 )
                                                                                                                                                                                                                                                                                                                                                         => q50 )
                                                                                                                                                                                                                                                                                                                                                     => q51 ) ) )
                                                                                                                                                                                                                                                                                                                                         => ~ ( p42
                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q42
                                                                                                                                                                                                                                                                                                                                                         => q41 )
                                                                                                                                                                                                                                                                                                                                                     => q51 )
                                                                                                                                                                                                                                                                                                                                                 => q52 ) ) )
                                                                                                                                                                                                                                                                                                                                     => ~ ( p43
                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q43
                                                                                                                                                                                                                                                                                                                                                     => q42 )
                                                                                                                                                                                                                                                                                                                                                 => q52 )
                                                                                                                                                                                                                                                                                                                                             => q53 ) ) )
                                                                                                                                                                                                                                                                                                                                 => ~ ( p44
                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q44
                                                                                                                                                                                                                                                                                                                                                 => q43 )
                                                                                                                                                                                                                                                                                                                                             => q53 )
                                                                                                                                                                                                                                                                                                                                         => q54 ) ) )
                                                                                                                                                                                                                                                                                                                             => ~ ( p45
                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q45
                                                                                                                                                                                                                                                                                                                                             => q44 )
                                                                                                                                                                                                                                                                                                                                         => q54 )
                                                                                                                                                                                                                                                                                                                                     => q55 ) ) )
                                                                                                                                                                                                                                                                                                                         => ~ ( p46
                                                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q46
                                                                                                                                                                                                                                                                                                                                         => q45 )
                                                                                                                                                                                                                                                                                                                                     => q55 )
                                                                                                                                                                                                                                                                                                                                 => q56 ) ) )
                                                                                                                                                                                                                                                                                                                     => ~ ( p47
                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q46
                                                                                                                                                                                                                                                                                                                             => q56 ) ) )
                                                                                                                                                                                                                                                                                                                 => ~ ( p50
                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q50
                                                                                                                                                                                                                                                                                                                         => q60 ) ) )
                                                                                                                                                                                                                                                                                                             => ~ ( p51
                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q51
                                                                                                                                                                                                                                                                                                                             => q50 )
                                                                                                                                                                                                                                                                                                                         => q60 )
                                                                                                                                                                                                                                                                                                                     => q61 ) ) )
                                                                                                                                                                                                                                                                                                         => ~ ( p52
                                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q52
                                                                                                                                                                                                                                                                                                                         => q51 )
                                                                                                                                                                                                                                                                                                                     => q61 )
                                                                                                                                                                                                                                                                                                                 => q62 ) ) )
                                                                                                                                                                                                                                                                                                     => ~ ( p53
                                                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q53
                                                                                                                                                                                                                                                                                                                     => q52 )
                                                                                                                                                                                                                                                                                                                 => q62 )
                                                                                                                                                                                                                                                                                                             => q63 ) ) )
                                                                                                                                                                                                                                                                                                 => ~ ( p54
                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q54
                                                                                                                                                                                                                                                                                                                 => q53 )
                                                                                                                                                                                                                                                                                                             => q63 )
                                                                                                                                                                                                                                                                                                         => q64 ) ) )
                                                                                                                                                                                                                                                                                             => ~ ( p55
                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q55
                                                                                                                                                                                                                                                                                                             => q54 )
                                                                                                                                                                                                                                                                                                         => q64 )
                                                                                                                                                                                                                                                                                                     => q65 ) ) )
                                                                                                                                                                                                                                                                                         => ~ ( p56
                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q56
                                                                                                                                                                                                                                                                                                         => q55 )
                                                                                                                                                                                                                                                                                                     => q65 )
                                                                                                                                                                                                                                                                                                 => q66 ) ) )
                                                                                                                                                                                                                                                                                     => ~ ( p57
                                                                                                                                                                                                                                                                                         => ~ ( ~ q56
                                                                                                                                                                                                                                                                                             => q66 ) ) )
                                                                                                                                                                                                                                                                                 => ~ ( p60
                                                                                                                                                                                                                                                                                     => ~ ( ~ q60
                                                                                                                                                                                                                                                                                         => q70 ) ) )
                                                                                                                                                                                                                                                                             => ~ ( p61
                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q61
                                                                                                                                                                                                                                                                                             => q60 )
                                                                                                                                                                                                                                                                                         => q70 )
                                                                                                                                                                                                                                                                                     => q71 ) ) )
                                                                                                                                                                                                                                                                         => ~ ( p62
                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q62
                                                                                                                                                                                                                                                                                         => q61 )
                                                                                                                                                                                                                                                                                     => q71 )
                                                                                                                                                                                                                                                                                 => q72 ) ) )
                                                                                                                                                                                                                                                                     => ~ ( p63
                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q63
                                                                                                                                                                                                                                                                                     => q62 )
                                                                                                                                                                                                                                                                                 => q72 )
                                                                                                                                                                                                                                                                             => q73 ) ) )
                                                                                                                                                                                                                                                                 => ~ ( p64
                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q64
                                                                                                                                                                                                                                                                                 => q63 )
                                                                                                                                                                                                                                                                             => q73 )
                                                                                                                                                                                                                                                                         => q74 ) ) )
                                                                                                                                                                                                                                                             => ~ ( p65
                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q65
                                                                                                                                                                                                                                                                             => q64 )
                                                                                                                                                                                                                                                                         => q74 )
                                                                                                                                                                                                                                                                     => q75 ) ) )
                                                                                                                                                                                                                                                         => ~ ( p66
                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ q66
                                                                                                                                                                                                                                                                     => q65 )
                                                                                                                                                                                                                                                                 => q75 ) ) )
                                                                                                                                                                                                                                                     => ~ ( ~ p01
                                                                                                                                                                                                                                                         => q01 ) )
                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ p02
                                                                                                                                                                                                                                                         => q02 )
                                                                                                                                                                                                                                                     => q01 ) )
                                                                                                                                                                                                                                             => ~ ( ~ ( ~ p03
                                                                                                                                                                                                                                                     => q03 )
                                                                                                                                                                                                                                                 => q02 ) )
                                                                                                                                                                                                                                         => ~ ( ~ ( ~ p04
                                                                                                                                                                                                                                                 => q04 )
                                                                                                                                                                                                                                             => q03 ) )
                                                                                                                                                                                                                                     => ~ ( ~ ( ~ p05
                                                                                                                                                                                                                                             => q05 )
                                                                                                                                                                                                                                         => q04 ) )
                                                                                                                                                                                                                                 => ~ ( ~ ( ~ p06
                                                                                                                                                                                                                                         => q06 )
                                                                                                                                                                                                                                     => q05 ) )
                                                                                                                                                                                                                             => ~ ( ~ p07
                                                                                                                                                                                                                                 => q06 ) )
                                                                                                                                                                                                                         => ~ ( ~ p10
                                                                                                                                                                                                                             => q10 ) )
                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ p11
                                                                                                                                                                                                                                 => p01 )
                                                                                                                                                                                                                             => q11 )
                                                                                                                                                                                                                         => q10 ) )
                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ p12
                                                                                                                                                                                                                             => p02 )
                                                                                                                                                                                                                         => q12 )
                                                                                                                                                                                                                     => q11 ) )
                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ p13
                                                                                                                                                                                                                         => p03 )
                                                                                                                                                                                                                     => q13 )
                                                                                                                                                                                                                 => q12 ) )
                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ p14
                                                                                                                                                                                                                     => p04 )
                                                                                                                                                                                                                 => q14 )
                                                                                                                                                                                                             => q13 ) )
                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ p15
                                                                                                                                                                                                                 => p05 )
                                                                                                                                                                                                             => q15 )
                                                                                                                                                                                                         => q14 ) )
                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ p16
                                                                                                                                                                                                             => p06 )
                                                                                                                                                                                                         => q16 )
                                                                                                                                                                                                     => q15 ) )
                                                                                                                                                                                             => ~ ( ~ ( ~ p17
                                                                                                                                                                                                     => p07 )
                                                                                                                                                                                                 => q16 ) )
                                                                                                                                                                                         => ~ ( ~ ( ~ p20
                                                                                                                                                                                                 => p10 )
                                                                                                                                                                                             => q20 ) )
                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ p21
                                                                                                                                                                                                 => p11 )
                                                                                                                                                                                             => q21 )
                                                                                                                                                                                         => q20 ) )
                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ p22
                                                                                                                                                                                             => p12 )
                                                                                                                                                                                         => q22 )
                                                                                                                                                                                     => q21 ) )
                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ p23
                                                                                                                                                                                         => p13 )
                                                                                                                                                                                     => q23 )
                                                                                                                                                                                 => q22 ) )
                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ p24
                                                                                                                                                                                     => p14 )
                                                                                                                                                                                 => q24 )
                                                                                                                                                                             => q23 ) )
                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ p25
                                                                                                                                                                                 => p15 )
                                                                                                                                                                             => q25 )
                                                                                                                                                                         => q24 ) )
                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ p26
                                                                                                                                                                             => p16 )
                                                                                                                                                                         => q26 )
                                                                                                                                                                     => q25 ) )
                                                                                                                                                             => ~ ( ~ ( ~ p27
                                                                                                                                                                     => p17 )
                                                                                                                                                                 => q26 ) )
                                                                                                                                                         => ~ ( ~ ( ~ p30
                                                                                                                                                                 => p20 )
                                                                                                                                                             => q30 ) )
                                                                                                                                                     => ~ ( ~ ( ~ ( ~ p31
                                                                                                                                                                 => p21 )
                                                                                                                                                             => q31 )
                                                                                                                                                         => q30 ) )
                                                                                                                                                 => ~ ( ~ ( ~ ( ~ p32
                                                                                                                                                             => p22 )
                                                                                                                                                         => q32 )
                                                                                                                                                     => q31 ) )
                                                                                                                                             => ~ ( ~ ( ~ ( ~ p33
                                                                                                                                                         => p23 )
                                                                                                                                                     => q33 )
                                                                                                                                                 => q32 ) )
                                                                                                                                         => ~ ( ~ ( ~ ( ~ p34
                                                                                                                                                     => p24 )
                                                                                                                                                 => q34 )
                                                                                                                                             => q33 ) )
                                                                                                                                     => ~ ( ~ ( ~ ( ~ p35
                                                                                                                                                 => p25 )
                                                                                                                                             => q35 )
                                                                                                                                         => q34 ) )
                                                                                                                                 => ~ ( ~ ( ~ ( ~ p36
                                                                                                                                             => p26 )
                                                                                                                                         => q36 )
                                                                                                                                     => q35 ) )
                                                                                                                             => ~ ( ~ ( ~ p37
                                                                                                                                     => p27 )
                                                                                                                                 => q36 ) )
                                                                                                                         => ~ ( ~ ( ~ p40
                                                                                                                                 => p30 )
                                                                                                                             => q40 ) )
                                                                                                                     => ~ ( ~ ( ~ ( ~ p41
                                                                                                                                 => p31 )
                                                                                                                             => q41 )
                                                                                                                         => q40 ) )
                                                                                                                 => ~ ( ~ ( ~ ( ~ p42
                                                                                                                             => p32 )
                                                                                                                         => q42 )
                                                                                                                     => q41 ) )
                                                                                                             => ~ ( ~ ( ~ ( ~ p43
                                                                                                                         => p33 )
                                                                                                                     => q43 )
                                                                                                                 => q42 ) )
                                                                                                         => ~ ( ~ ( ~ ( ~ p44
                                                                                                                     => p34 )
                                                                                                                 => q44 )
                                                                                                             => q43 ) )
                                                                                                     => ~ ( ~ ( ~ ( ~ p45
                                                                                                                 => p35 )
                                                                                                             => q45 )
                                                                                                         => q44 ) )
                                                                                                 => ~ ( ~ ( ~ ( ~ p46
                                                                                                             => p36 )
                                                                                                         => q46 )
                                                                                                     => q45 ) )
                                                                                             => ~ ( ~ ( ~ p47
                                                                                                     => p37 )
                                                                                                 => q46 ) )
                                                                                         => ~ ( ~ ( ~ p50
                                                                                                 => p40 )
                                                                                             => q50 ) )
                                                                                     => ~ ( ~ ( ~ ( ~ p51
                                                                                                 => p41 )
                                                                                             => q51 )
                                                                                         => q50 ) )
                                                                                 => ~ ( ~ ( ~ ( ~ p52
                                                                                             => p42 )
                                                                                         => q52 )
                                                                                     => q51 ) )
                                                                             => ~ ( ~ ( ~ ( ~ p53
                                                                                         => p43 )
                                                                                     => q53 )
                                                                                 => q52 ) )
                                                                         => ~ ( ~ ( ~ ( ~ p54
                                                                                     => p44 )
                                                                                 => q54 )
                                                                             => q53 ) )
                                                                     => ~ ( ~ ( ~ ( ~ p55
                                                                                 => p45 )
                                                                             => q55 )
                                                                         => q54 ) )
                                                                 => ~ ( ~ ( ~ ( ~ p56
                                                                             => p46 )
                                                                         => q56 )
                                                                     => q55 ) )
                                                             => ~ ( ~ ( ~ p57
                                                                     => p47 )
                                                                 => q56 ) )
                                                         => ~ ( ~ ( ~ p60
                                                                 => p50 )
                                                             => q60 ) )
                                                     => ~ ( ~ ( ~ ( ~ p61
                                                                 => p51 )
                                                             => q61 )
                                                         => q60 ) )
                                                 => ~ ( ~ ( ~ ( ~ p62
                                                             => p52 )
                                                         => q62 )
                                                     => ~ q61 ) )
                                             => ~ ( ~ ( ~ ( ~ p63
                                                         => p53 )
                                                     => q63 )
                                                 => q62 ) )
                                         => ~ ( ~ ( ~ ( ~ p64
                                                     => p54 )
                                                 => q64 )
                                             => q63 ) )
                                     => ~ ( ~ ( ~ ( ~ p65
                                                 => p55 )
                                             => q65 )
                                         => q64 ) )
                                 => ~ ( ~ ( ~ ( ~ p66
                                             => p56 )
                                         => q66 )
                                     => q65 ) )
                             => ~ ( ~ p57
                                 => q66 ) )
                         => ~ ( ~ p60
                             => q70 ) )
                     => ~ ( ~ ( ~ p61
                             => q71 )
                         => q70 ) )
                 => ~ ( ~ ( ~ p62
                         => q72 )
                     => q71 ) )
             => ~ ( ~ ( ~ p63
                     => q73 )
                 => q72 ) )
         => ~ ( ~ ( ~ p64
                 => q74 )
             => q73 ) )
     => ~ ( ~ ( ~ p65
             => q75 )
         => q74 ) ) ),
    introduced(definition,[new_symbols(definition,[sP1])]) ).

thf(sP2,plain,
    ( sP2
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( p01
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               => ~ p11 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p02
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ p12 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p03
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ p13 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p04
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ p14 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p05
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ p15 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p06
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ p16 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p07
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ p17 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p10
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ p20 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p11
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p01
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p21 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p12
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p02
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p22 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p13
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p03
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p23 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p14
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p04
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p24 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p15
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p05
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p25 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p16
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p06
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p26 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p17
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p07
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p27 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p20
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p10
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p30 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p21
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p11
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p31 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p22
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p12
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p32 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p23
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p13
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p33 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p24
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p14
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p34 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p25
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p15
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p35 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p26
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p16
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p36 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p27
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p17
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p37 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p30
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p20
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p40 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p31
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p21
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p41 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p32
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p22
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p42 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p33
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p23
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p43 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p34
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p24
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p44 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p35
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p25
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p45 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p36
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p46 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p37
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p27
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p47 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p40
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p30
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p50 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p41
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p51 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p42
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p52 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p43
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p53 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p44
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p54 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p45
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p55 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p46
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p56 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p47
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p57 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p60 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p51
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p61 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p52
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p62 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p63 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p64 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p55
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p65 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ p52 ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ p54 ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ q02 ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ q11 ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ q15 ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ q21 ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q23 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q24 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q25 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q26 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ q25 ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ q31 ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q32 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q33 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q34 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q35 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q36 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ q35 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q40
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ q41 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q41
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q42 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q41
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q43 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q44 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q45 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q44
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q46 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ q45 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q50
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ q51 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q51
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q52 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q51
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q53 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q54 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q55 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q56 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q56
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ q55 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q60
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ q61 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q61
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q60
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q62 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q62
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q61
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q63 ) ) )
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q62
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q64 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q64
                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q63
                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q65 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q65
                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q64
                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q66 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q66
                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ q65 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q70
                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ q71 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q71
                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q70
                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q72 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q72
                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q71
                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q73 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q73
                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q72
                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q74 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q74
                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q73
                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q75 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q75
                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ q74 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p01
                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ q01
                                                                                                                                                                                                                                                                                                                                                                                                                                             => q10 )
                                                                                                                                                                                                                                                                                                                                                                                                                                         => q11 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p02
                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q02
                                                                                                                                                                                                                                                                                                                                                                                                                                             => q01 )
                                                                                                                                                                                                                                                                                                                                                                                                                                         => q11 )
                                                                                                                                                                                                                                                                                                                                                                                                                                     => q12 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p03
                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q03
                                                                                                                                                                                                                                                                                                                                                                                                                                         => q02 )
                                                                                                                                                                                                                                                                                                                                                                                                                                     => q12 )
                                                                                                                                                                                                                                                                                                                                                                                                                                 => q13 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p04
                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q04
                                                                                                                                                                                                                                                                                                                                                                                                                                     => q03 )
                                                                                                                                                                                                                                                                                                                                                                                                                                 => q13 )
                                                                                                                                                                                                                                                                                                                                                                                                                             => q14 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p05
                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q05
                                                                                                                                                                                                                                                                                                                                                                                                                                 => q04 )
                                                                                                                                                                                                                                                                                                                                                                                                                             => q14 )
                                                                                                                                                                                                                                                                                                                                                                                                                         => q15 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p06
                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q06
                                                                                                                                                                                                                                                                                                                                                                                                                             => q05 )
                                                                                                                                                                                                                                                                                                                                                                                                                         => q15 )
                                                                                                                                                                                                                                                                                                                                                                                                                     => q16 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p07
                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q06
                                                                                                                                                                                                                                                                                                                                                                                                                 => q16 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p10
                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q10
                                                                                                                                                                                                                                                                                                                                                                                                             => q20 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p11
                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q11
                                                                                                                                                                                                                                                                                                                                                                                                                 => q10 )
                                                                                                                                                                                                                                                                                                                                                                                                             => q20 )
                                                                                                                                                                                                                                                                                                                                                                                                         => q21 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p12
                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q12
                                                                                                                                                                                                                                                                                                                                                                                                             => q11 )
                                                                                                                                                                                                                                                                                                                                                                                                         => q21 )
                                                                                                                                                                                                                                                                                                                                                                                                     => q22 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p13
                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q13
                                                                                                                                                                                                                                                                                                                                                                                                         => q12 )
                                                                                                                                                                                                                                                                                                                                                                                                     => q22 )
                                                                                                                                                                                                                                                                                                                                                                                                 => q23 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p14
                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q14
                                                                                                                                                                                                                                                                                                                                                                                                     => q13 )
                                                                                                                                                                                                                                                                                                                                                                                                 => q23 )
                                                                                                                                                                                                                                                                                                                                                                                             => q24 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p15
                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q15
                                                                                                                                                                                                                                                                                                                                                                                                 => q14 )
                                                                                                                                                                                                                                                                                                                                                                                             => q24 )
                                                                                                                                                                                                                                                                                                                                                                                         => q25 ) ) )
                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p16
                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q16
                                                                                                                                                                                                                                                                                                                                                                                             => q15 )
                                                                                                                                                                                                                                                                                                                                                                                         => q25 )
                                                                                                                                                                                                                                                                                                                                                                                     => q26 ) ) )
                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p17
                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q16
                                                                                                                                                                                                                                                                                                                                                                                 => q26 ) ) )
                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p20
                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q20
                                                                                                                                                                                                                                                                                                                                                                             => q30 ) ) )
                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p21
                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q21
                                                                                                                                                                                                                                                                                                                                                                                 => q20 )
                                                                                                                                                                                                                                                                                                                                                                             => q30 )
                                                                                                                                                                                                                                                                                                                                                                         => q31 ) ) )
                                                                                                                                                                                                                                                                                                                                                             => ~ ( p22
                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q22
                                                                                                                                                                                                                                                                                                                                                                             => q21 )
                                                                                                                                                                                                                                                                                                                                                                         => q31 )
                                                                                                                                                                                                                                                                                                                                                                     => q32 ) ) )
                                                                                                                                                                                                                                                                                                                                                         => ~ ( p23
                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q23
                                                                                                                                                                                                                                                                                                                                                                         => q22 )
                                                                                                                                                                                                                                                                                                                                                                     => q32 )
                                                                                                                                                                                                                                                                                                                                                                 => q33 ) ) )
                                                                                                                                                                                                                                                                                                                                                     => ~ ( p24
                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q24
                                                                                                                                                                                                                                                                                                                                                                     => q23 )
                                                                                                                                                                                                                                                                                                                                                                 => q33 )
                                                                                                                                                                                                                                                                                                                                                             => q34 ) ) )
                                                                                                                                                                                                                                                                                                                                                 => ~ ( p25
                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q25
                                                                                                                                                                                                                                                                                                                                                                 => q24 )
                                                                                                                                                                                                                                                                                                                                                             => q34 )
                                                                                                                                                                                                                                                                                                                                                         => q35 ) ) )
                                                                                                                                                                                                                                                                                                                                             => ~ ( p26
                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q26
                                                                                                                                                                                                                                                                                                                                                             => q25 )
                                                                                                                                                                                                                                                                                                                                                         => q35 )
                                                                                                                                                                                                                                                                                                                                                     => q36 ) ) )
                                                                                                                                                                                                                                                                                                                                         => ~ ( p27
                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q26
                                                                                                                                                                                                                                                                                                                                                 => q36 ) ) )
                                                                                                                                                                                                                                                                                                                                     => ~ ( p30
                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q30
                                                                                                                                                                                                                                                                                                                                             => q40 ) ) )
                                                                                                                                                                                                                                                                                                                                 => ~ ( p31
                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q31
                                                                                                                                                                                                                                                                                                                                                 => q30 )
                                                                                                                                                                                                                                                                                                                                             => q40 )
                                                                                                                                                                                                                                                                                                                                         => q41 ) ) )
                                                                                                                                                                                                                                                                                                                             => ~ ( p32
                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q32
                                                                                                                                                                                                                                                                                                                                             => q31 )
                                                                                                                                                                                                                                                                                                                                         => q41 )
                                                                                                                                                                                                                                                                                                                                     => q42 ) ) )
                                                                                                                                                                                                                                                                                                                         => ~ ( p33
                                                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q33
                                                                                                                                                                                                                                                                                                                                         => q32 )
                                                                                                                                                                                                                                                                                                                                     => q42 )
                                                                                                                                                                                                                                                                                                                                 => q43 ) ) )
                                                                                                                                                                                                                                                                                                                     => ~ ( p34
                                                                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q34
                                                                                                                                                                                                                                                                                                                                     => q33 )
                                                                                                                                                                                                                                                                                                                                 => q43 )
                                                                                                                                                                                                                                                                                                                             => q44 ) ) )
                                                                                                                                                                                                                                                                                                                 => ~ ( p35
                                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q35
                                                                                                                                                                                                                                                                                                                                 => q34 )
                                                                                                                                                                                                                                                                                                                             => q44 )
                                                                                                                                                                                                                                                                                                                         => q45 ) ) )
                                                                                                                                                                                                                                                                                                             => ~ ( p36
                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q36
                                                                                                                                                                                                                                                                                                                             => q35 )
                                                                                                                                                                                                                                                                                                                         => q45 )
                                                                                                                                                                                                                                                                                                                     => q46 ) ) )
                                                                                                                                                                                                                                                                                                         => ~ ( p37
                                                                                                                                                                                                                                                                                                             => ~ ( ~ q36
                                                                                                                                                                                                                                                                                                                 => q46 ) ) )
                                                                                                                                                                                                                                                                                                     => ~ ( p40
                                                                                                                                                                                                                                                                                                         => ~ ( ~ q40
                                                                                                                                                                                                                                                                                                             => q50 ) ) )
                                                                                                                                                                                                                                                                                                 => ~ ( p41
                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q41
                                                                                                                                                                                                                                                                                                                 => q40 )
                                                                                                                                                                                                                                                                                                             => q50 )
                                                                                                                                                                                                                                                                                                         => q51 ) ) )
                                                                                                                                                                                                                                                                                             => ~ ( p42
                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q42
                                                                                                                                                                                                                                                                                                             => q41 )
                                                                                                                                                                                                                                                                                                         => q51 )
                                                                                                                                                                                                                                                                                                     => q52 ) ) )
                                                                                                                                                                                                                                                                                         => ~ ( p43
                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q43
                                                                                                                                                                                                                                                                                                         => q42 )
                                                                                                                                                                                                                                                                                                     => q52 )
                                                                                                                                                                                                                                                                                                 => q53 ) ) )
                                                                                                                                                                                                                                                                                     => ~ ( p44
                                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q44
                                                                                                                                                                                                                                                                                                     => q43 )
                                                                                                                                                                                                                                                                                                 => q53 )
                                                                                                                                                                                                                                                                                             => q54 ) ) )
                                                                                                                                                                                                                                                                                 => ~ ( p45
                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q45
                                                                                                                                                                                                                                                                                                 => q44 )
                                                                                                                                                                                                                                                                                             => q54 )
                                                                                                                                                                                                                                                                                         => q55 ) ) )
                                                                                                                                                                                                                                                                             => ~ ( p46
                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q46
                                                                                                                                                                                                                                                                                             => q45 )
                                                                                                                                                                                                                                                                                         => q55 )
                                                                                                                                                                                                                                                                                     => q56 ) ) )
                                                                                                                                                                                                                                                                         => ~ ( p47
                                                                                                                                                                                                                                                                             => ~ ( ~ q46
                                                                                                                                                                                                                                                                                 => q56 ) ) )
                                                                                                                                                                                                                                                                     => ~ ( p50
                                                                                                                                                                                                                                                                         => ~ ( ~ q50
                                                                                                                                                                                                                                                                             => q60 ) ) )
                                                                                                                                                                                                                                                                 => ~ ( p51
                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q51
                                                                                                                                                                                                                                                                                 => q50 )
                                                                                                                                                                                                                                                                             => q60 )
                                                                                                                                                                                                                                                                         => q61 ) ) )
                                                                                                                                                                                                                                                             => ~ ( p52
                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q52
                                                                                                                                                                                                                                                                             => q51 )
                                                                                                                                                                                                                                                                         => q61 )
                                                                                                                                                                                                                                                                     => q62 ) ) )
                                                                                                                                                                                                                                                         => ~ ( p53
                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q53
                                                                                                                                                                                                                                                                         => q52 )
                                                                                                                                                                                                                                                                     => q62 )
                                                                                                                                                                                                                                                                 => q63 ) ) )
                                                                                                                                                                                                                                                     => ~ ( p54
                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q54
                                                                                                                                                                                                                                                                     => q53 )
                                                                                                                                                                                                                                                                 => q63 )
                                                                                                                                                                                                                                                             => q64 ) ) )
                                                                                                                                                                                                                                                 => ~ ( p55
                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q55
                                                                                                                                                                                                                                                                 => q54 )
                                                                                                                                                                                                                                                             => q64 )
                                                                                                                                                                                                                                                         => q65 ) ) )
                                                                                                                                                                                                                                             => ~ ( p56
                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q56
                                                                                                                                                                                                                                                             => q55 )
                                                                                                                                                                                                                                                         => q65 )
                                                                                                                                                                                                                                                     => q66 ) ) )
                                                                                                                                                                                                                                         => ~ ( p57
                                                                                                                                                                                                                                             => ~ ( ~ q56
                                                                                                                                                                                                                                                 => q66 ) ) )
                                                                                                                                                                                                                                     => ~ ( p60
                                                                                                                                                                                                                                         => ~ ( ~ q60
                                                                                                                                                                                                                                             => q70 ) ) )
                                                                                                                                                                                                                                 => ~ ( p61
                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q61
                                                                                                                                                                                                                                                 => q60 )
                                                                                                                                                                                                                                             => q70 )
                                                                                                                                                                                                                                         => q71 ) ) )
                                                                                                                                                                                                                             => ~ ( p62
                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q62
                                                                                                                                                                                                                                             => q61 )
                                                                                                                                                                                                                                         => q71 )
                                                                                                                                                                                                                                     => q72 ) ) )
                                                                                                                                                                                                                         => ~ ( p63
                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q63
                                                                                                                                                                                                                                         => q62 )
                                                                                                                                                                                                                                     => q72 )
                                                                                                                                                                                                                                 => q73 ) ) )
                                                                                                                                                                                                                     => ~ ( p64
                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q64
                                                                                                                                                                                                                                     => q63 )
                                                                                                                                                                                                                                 => q73 )
                                                                                                                                                                                                                             => q74 ) ) )
                                                                                                                                                                                                                 => ~ ( p65
                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q65
                                                                                                                                                                                                                                 => q64 )
                                                                                                                                                                                                                             => q74 )
                                                                                                                                                                                                                         => q75 ) ) )
                                                                                                                                                                                                             => ~ ( p66
                                                                                                                                                                                                                 => ~ ( ~ ( ~ q66
                                                                                                                                                                                                                         => q65 )
                                                                                                                                                                                                                     => q75 ) ) )
                                                                                                                                                                                                         => ~ ( ~ p01
                                                                                                                                                                                                             => q01 ) )
                                                                                                                                                                                                     => ~ ( ~ ( ~ p02
                                                                                                                                                                                                             => q02 )
                                                                                                                                                                                                         => q01 ) )
                                                                                                                                                                                                 => ~ ( ~ ( ~ p03
                                                                                                                                                                                                         => q03 )
                                                                                                                                                                                                     => q02 ) )
                                                                                                                                                                                             => ~ ( ~ ( ~ p04
                                                                                                                                                                                                     => q04 )
                                                                                                                                                                                                 => q03 ) )
                                                                                                                                                                                         => ~ ( ~ ( ~ p05
                                                                                                                                                                                                 => q05 )
                                                                                                                                                                                             => q04 ) )
                                                                                                                                                                                     => ~ ( ~ ( ~ p06
                                                                                                                                                                                             => q06 )
                                                                                                                                                                                         => q05 ) )
                                                                                                                                                                                 => ~ ( ~ p07
                                                                                                                                                                                     => q06 ) )
                                                                                                                                                                             => ~ ( ~ p10
                                                                                                                                                                                 => q10 ) )
                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ p11
                                                                                                                                                                                     => p01 )
                                                                                                                                                                                 => q11 )
                                                                                                                                                                             => q10 ) )
                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ p12
                                                                                                                                                                                 => p02 )
                                                                                                                                                                             => q12 )
                                                                                                                                                                         => q11 ) )
                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ p13
                                                                                                                                                                             => p03 )
                                                                                                                                                                         => q13 )
                                                                                                                                                                     => q12 ) )
                                                                                                                                                             => ~ ( ~ ( ~ ( ~ p14
                                                                                                                                                                         => p04 )
                                                                                                                                                                     => q14 )
                                                                                                                                                                 => q13 ) )
                                                                                                                                                         => ~ ( ~ ( ~ ( ~ p15
                                                                                                                                                                     => p05 )
                                                                                                                                                                 => q15 )
                                                                                                                                                             => q14 ) )
                                                                                                                                                     => ~ ( ~ ( ~ ( ~ p16
                                                                                                                                                                 => p06 )
                                                                                                                                                             => q16 )
                                                                                                                                                         => q15 ) )
                                                                                                                                                 => ~ ( ~ ( ~ p17
                                                                                                                                                         => p07 )
                                                                                                                                                     => q16 ) )
                                                                                                                                             => ~ ( ~ ( ~ p20
                                                                                                                                                     => p10 )
                                                                                                                                                 => q20 ) )
                                                                                                                                         => ~ ( ~ ( ~ ( ~ p21
                                                                                                                                                     => p11 )
                                                                                                                                                 => q21 )
                                                                                                                                             => q20 ) )
                                                                                                                                     => ~ ( ~ ( ~ ( ~ p22
                                                                                                                                                 => p12 )
                                                                                                                                             => q22 )
                                                                                                                                         => q21 ) )
                                                                                                                                 => ~ ( ~ ( ~ ( ~ p23
                                                                                                                                             => p13 )
                                                                                                                                         => q23 )
                                                                                                                                     => q22 ) )
                                                                                                                             => ~ ( ~ ( ~ ( ~ p24
                                                                                                                                         => p14 )
                                                                                                                                     => q24 )
                                                                                                                                 => q23 ) )
                                                                                                                         => ~ ( ~ ( ~ ( ~ p25
                                                                                                                                     => p15 )
                                                                                                                                 => q25 )
                                                                                                                             => q24 ) )
                                                                                                                     => ~ ( ~ ( ~ ( ~ p26
                                                                                                                                 => p16 )
                                                                                                                             => q26 )
                                                                                                                         => q25 ) )
                                                                                                                 => ~ ( ~ ( ~ p27
                                                                                                                         => p17 )
                                                                                                                     => q26 ) )
                                                                                                             => ~ ( ~ ( ~ p30
                                                                                                                     => p20 )
                                                                                                                 => q30 ) )
                                                                                                         => ~ ( ~ ( ~ ( ~ p31
                                                                                                                     => p21 )
                                                                                                                 => q31 )
                                                                                                             => q30 ) )
                                                                                                     => ~ ( ~ ( ~ ( ~ p32
                                                                                                                 => p22 )
                                                                                                             => q32 )
                                                                                                         => q31 ) )
                                                                                                 => ~ ( ~ ( ~ ( ~ p33
                                                                                                             => p23 )
                                                                                                         => q33 )
                                                                                                     => q32 ) )
                                                                                             => ~ ( ~ ( ~ ( ~ p34
                                                                                                         => p24 )
                                                                                                     => q34 )
                                                                                                 => q33 ) )
                                                                                         => ~ ( ~ ( ~ ( ~ p35
                                                                                                     => p25 )
                                                                                                 => q35 )
                                                                                             => q34 ) )
                                                                                     => ~ ( ~ ( ~ ( ~ p36
                                                                                                 => p26 )
                                                                                             => q36 )
                                                                                         => q35 ) )
                                                                                 => ~ ( ~ ( ~ p37
                                                                                         => p27 )
                                                                                     => q36 ) )
                                                                             => ~ ( ~ ( ~ p40
                                                                                     => p30 )
                                                                                 => q40 ) )
                                                                         => ~ ( ~ ( ~ ( ~ p41
                                                                                     => p31 )
                                                                                 => q41 )
                                                                             => q40 ) )
                                                                     => ~ ( ~ ( ~ ( ~ p42
                                                                                 => p32 )
                                                                             => q42 )
                                                                         => q41 ) )
                                                                 => ~ ( ~ ( ~ ( ~ p43
                                                                             => p33 )
                                                                         => q43 )
                                                                     => q42 ) )
                                                             => ~ ( ~ ( ~ ( ~ p44
                                                                         => p34 )
                                                                     => q44 )
                                                                 => q43 ) )
                                                         => ~ ( ~ ( ~ ( ~ p45
                                                                     => p35 )
                                                                 => q45 )
                                                             => q44 ) )
                                                     => ~ ( ~ ( ~ ( ~ p46
                                                                 => p36 )
                                                             => q46 )
                                                         => q45 ) )
                                                 => ~ ( ~ ( ~ p47
                                                         => p37 )
                                                     => q46 ) )
                                             => ~ ( ~ ( ~ p50
                                                     => p40 )
                                                 => q50 ) )
                                         => ~ ( ~ ( ~ ( ~ p51
                                                     => p41 )
                                                 => q51 )
                                             => q50 ) )
                                     => ~ ( ~ ( ~ ( ~ p52
                                                 => p42 )
                                             => q52 )
                                         => q51 ) )
                                 => ~ ( ~ ( ~ ( ~ p53
                                             => p43 )
                                         => q53 )
                                     => q52 ) )
                             => ~ ( ~ ( ~ ( ~ p54
                                         => p44 )
                                     => q54 )
                                 => q53 ) )
                         => ~ ( ~ ( ~ ( ~ p55
                                     => p45 )
                                 => q55 )
                             => q54 ) )
                     => ~ ( ~ ( ~ ( ~ p56
                                 => p46 )
                             => q56 )
                         => q55 ) )
                 => ~ ( ~ ( ~ p57
                         => p47 )
                     => q56 ) )
             => ~ ( ~ ( ~ p60
                     => p50 )
                 => q60 ) )
         => ~ ( ~ ( ~ ( ~ p61
                     => p51 )
                 => q61 )
             => q60 ) )
     => ~ ( ~ ( ~ ( ~ p62
                 => p52 )
             => q62 )
         => ~ q61 ) ) ),
    introduced(definition,[new_symbols(definition,[sP2])]) ).

thf(sP3,plain,
    ( sP3
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( p01
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   => ~ p11 )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p02
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ p12 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p03
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ p13 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p04
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ p14 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p05
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ p15 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p06
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ p16 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p07
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ p17 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p10
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ p20 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p11
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p01
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p21 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p12
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p02
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p22 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p13
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p03
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p23 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p14
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p04
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p24 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p15
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p05
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p25 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p16
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p06
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p26 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p17
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p07
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p27 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p20
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p10
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p30 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p21
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p11
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p31 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p22
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p12
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p32 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p23
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p13
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p33 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p24
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p14
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p34 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p25
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p15
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p35 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p26
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p16
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p36 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p27
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p17
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p37 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p30
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p20
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p40 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p31
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p21
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p41 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p32
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p22
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p42 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p33
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p23
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p43 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p34
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p24
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p44 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p35
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p25
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p45 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p36
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p26
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p46 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p37
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p27
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p47 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p40
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p30
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p50 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p41
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p31
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p51 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p42
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p32
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p52 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p43
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p33
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p53 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p44
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p34
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p54 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p45
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p35
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p55 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p46
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p36
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p56 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p47
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p37
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p57 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p50
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p40
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p60 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p51
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p41
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p61 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p52
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p42
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p62 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p53
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p43
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => p63 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p54
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p44
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => p64 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p55
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p45
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => p65 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p56
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p46
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => p66 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p57
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ p47 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p60
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ p50 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p61
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ p51 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p62
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ p52 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p63
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ p53 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p64
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ p54 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p65
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ p55 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p66
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ p56 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q01
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ q02 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q02
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q01
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q03 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q03
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q02
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q04 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q04
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q03
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q05 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q05
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q04
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q06 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q06
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ q05 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q10
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ q11 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q11
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q10
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q12 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q12
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q11
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q13 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q13
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q12
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q14 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q14
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q13
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q15 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q15
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q14
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q16 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q16
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ q15 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q20
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ q21 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q21
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q20
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q22 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q22
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q21
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q23 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q23
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q22
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q24 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q24
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q23
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q25 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q25
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q24
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q26 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q26
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ q25 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q30
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ q31 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q31
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q30
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q32 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q32
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q31
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q33 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q33
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q32
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q34 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q34
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q33
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q35 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q35
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q34
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q36 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q36
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ q35 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q40
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ q41 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q41
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q40
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q42 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q42
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q41
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q43 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q43
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q42
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q44 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q44
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q43
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q45 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q45
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q44
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q46 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q46
                                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ q45 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q50
                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ q51 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q51
                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q50
                                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q52 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q52
                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q51
                                                                                                                                                                                                                                                                                                                                                                                                                                                                     => q53 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q53
                                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q52
                                                                                                                                                                                                                                                                                                                                                                                                                                                                 => q54 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q54
                                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q53
                                                                                                                                                                                                                                                                                                                                                                                                                                                             => q55 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q55
                                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q54
                                                                                                                                                                                                                                                                                                                                                                                                                                                         => q56 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q56
                                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ q55 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q60
                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ q61 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q61
                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q60
                                                                                                                                                                                                                                                                                                                                                                                                                                             => q62 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q62
                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q61
                                                                                                                                                                                                                                                                                                                                                                                                                                         => q63 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q63
                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q62
                                                                                                                                                                                                                                                                                                                                                                                                                                     => q64 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q64
                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q63
                                                                                                                                                                                                                                                                                                                                                                                                                                 => q65 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q65
                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q64
                                                                                                                                                                                                                                                                                                                                                                                                                             => q66 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q66
                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ q65 ) )
                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q70
                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ q71 ) )
                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q71
                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q70
                                                                                                                                                                                                                                                                                                                                                                                                                 => q72 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( q72
                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ q71
                                                                                                                                                                                                                                                                                                                                                                                                             => q73 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( q73
                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ q72
                                                                                                                                                                                                                                                                                                                                                                                                         => q74 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( q74
                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q73
                                                                                                                                                                                                                                                                                                                                                                                                     => q75 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( q75
                                                                                                                                                                                                                                                                                                                                                                                             => ~ q74 ) )
                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p01
                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ q01
                                                                                                                                                                                                                                                                                                                                                                                                 => q10 )
                                                                                                                                                                                                                                                                                                                                                                                             => q11 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p02
                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q02
                                                                                                                                                                                                                                                                                                                                                                                                 => q01 )
                                                                                                                                                                                                                                                                                                                                                                                             => q11 )
                                                                                                                                                                                                                                                                                                                                                                                         => q12 ) ) )
                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p03
                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q03
                                                                                                                                                                                                                                                                                                                                                                                             => q02 )
                                                                                                                                                                                                                                                                                                                                                                                         => q12 )
                                                                                                                                                                                                                                                                                                                                                                                     => q13 ) ) )
                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p04
                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q04
                                                                                                                                                                                                                                                                                                                                                                                         => q03 )
                                                                                                                                                                                                                                                                                                                                                                                     => q13 )
                                                                                                                                                                                                                                                                                                                                                                                 => q14 ) ) )
                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p05
                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q05
                                                                                                                                                                                                                                                                                                                                                                                     => q04 )
                                                                                                                                                                                                                                                                                                                                                                                 => q14 )
                                                                                                                                                                                                                                                                                                                                                                             => q15 ) ) )
                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p06
                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q06
                                                                                                                                                                                                                                                                                                                                                                                 => q05 )
                                                                                                                                                                                                                                                                                                                                                                             => q15 )
                                                                                                                                                                                                                                                                                                                                                                         => q16 ) ) )
                                                                                                                                                                                                                                                                                                                                                             => ~ ( p07
                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q06
                                                                                                                                                                                                                                                                                                                                                                     => q16 ) ) )
                                                                                                                                                                                                                                                                                                                                                         => ~ ( p10
                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q10
                                                                                                                                                                                                                                                                                                                                                                 => q20 ) ) )
                                                                                                                                                                                                                                                                                                                                                     => ~ ( p11
                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q11
                                                                                                                                                                                                                                                                                                                                                                     => q10 )
                                                                                                                                                                                                                                                                                                                                                                 => q20 )
                                                                                                                                                                                                                                                                                                                                                             => q21 ) ) )
                                                                                                                                                                                                                                                                                                                                                 => ~ ( p12
                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q12
                                                                                                                                                                                                                                                                                                                                                                 => q11 )
                                                                                                                                                                                                                                                                                                                                                             => q21 )
                                                                                                                                                                                                                                                                                                                                                         => q22 ) ) )
                                                                                                                                                                                                                                                                                                                                             => ~ ( p13
                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q13
                                                                                                                                                                                                                                                                                                                                                             => q12 )
                                                                                                                                                                                                                                                                                                                                                         => q22 )
                                                                                                                                                                                                                                                                                                                                                     => q23 ) ) )
                                                                                                                                                                                                                                                                                                                                         => ~ ( p14
                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q14
                                                                                                                                                                                                                                                                                                                                                         => q13 )
                                                                                                                                                                                                                                                                                                                                                     => q23 )
                                                                                                                                                                                                                                                                                                                                                 => q24 ) ) )
                                                                                                                                                                                                                                                                                                                                     => ~ ( p15
                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q15
                                                                                                                                                                                                                                                                                                                                                     => q14 )
                                                                                                                                                                                                                                                                                                                                                 => q24 )
                                                                                                                                                                                                                                                                                                                                             => q25 ) ) )
                                                                                                                                                                                                                                                                                                                                 => ~ ( p16
                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q16
                                                                                                                                                                                                                                                                                                                                                 => q15 )
                                                                                                                                                                                                                                                                                                                                             => q25 )
                                                                                                                                                                                                                                                                                                                                         => q26 ) ) )
                                                                                                                                                                                                                                                                                                                             => ~ ( p17
                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ q16
                                                                                                                                                                                                                                                                                                                                     => q26 ) ) )
                                                                                                                                                                                                                                                                                                                         => ~ ( p20
                                                                                                                                                                                                                                                                                                                             => ~ ( ~ q20
                                                                                                                                                                                                                                                                                                                                 => q30 ) ) )
                                                                                                                                                                                                                                                                                                                     => ~ ( p21
                                                                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q21
                                                                                                                                                                                                                                                                                                                                     => q20 )
                                                                                                                                                                                                                                                                                                                                 => q30 )
                                                                                                                                                                                                                                                                                                                             => q31 ) ) )
                                                                                                                                                                                                                                                                                                                 => ~ ( p22
                                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q22
                                                                                                                                                                                                                                                                                                                                 => q21 )
                                                                                                                                                                                                                                                                                                                             => q31 )
                                                                                                                                                                                                                                                                                                                         => q32 ) ) )
                                                                                                                                                                                                                                                                                                             => ~ ( p23
                                                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q23
                                                                                                                                                                                                                                                                                                                             => q22 )
                                                                                                                                                                                                                                                                                                                         => q32 )
                                                                                                                                                                                                                                                                                                                     => q33 ) ) )
                                                                                                                                                                                                                                                                                                         => ~ ( p24
                                                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q24
                                                                                                                                                                                                                                                                                                                         => q23 )
                                                                                                                                                                                                                                                                                                                     => q33 )
                                                                                                                                                                                                                                                                                                                 => q34 ) ) )
                                                                                                                                                                                                                                                                                                     => ~ ( p25
                                                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q25
                                                                                                                                                                                                                                                                                                                     => q24 )
                                                                                                                                                                                                                                                                                                                 => q34 )
                                                                                                                                                                                                                                                                                                             => q35 ) ) )
                                                                                                                                                                                                                                                                                                 => ~ ( p26
                                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q26
                                                                                                                                                                                                                                                                                                                 => q25 )
                                                                                                                                                                                                                                                                                                             => q35 )
                                                                                                                                                                                                                                                                                                         => q36 ) ) )
                                                                                                                                                                                                                                                                                             => ~ ( p27
                                                                                                                                                                                                                                                                                                 => ~ ( ~ q26
                                                                                                                                                                                                                                                                                                     => q36 ) ) )
                                                                                                                                                                                                                                                                                         => ~ ( p30
                                                                                                                                                                                                                                                                                             => ~ ( ~ q30
                                                                                                                                                                                                                                                                                                 => q40 ) ) )
                                                                                                                                                                                                                                                                                     => ~ ( p31
                                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q31
                                                                                                                                                                                                                                                                                                     => q30 )
                                                                                                                                                                                                                                                                                                 => q40 )
                                                                                                                                                                                                                                                                                             => q41 ) ) )
                                                                                                                                                                                                                                                                                 => ~ ( p32
                                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q32
                                                                                                                                                                                                                                                                                                 => q31 )
                                                                                                                                                                                                                                                                                             => q41 )
                                                                                                                                                                                                                                                                                         => q42 ) ) )
                                                                                                                                                                                                                                                                             => ~ ( p33
                                                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q33
                                                                                                                                                                                                                                                                                             => q32 )
                                                                                                                                                                                                                                                                                         => q42 )
                                                                                                                                                                                                                                                                                     => q43 ) ) )
                                                                                                                                                                                                                                                                         => ~ ( p34
                                                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q34
                                                                                                                                                                                                                                                                                         => q33 )
                                                                                                                                                                                                                                                                                     => q43 )
                                                                                                                                                                                                                                                                                 => q44 ) ) )
                                                                                                                                                                                                                                                                     => ~ ( p35
                                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q35
                                                                                                                                                                                                                                                                                     => q34 )
                                                                                                                                                                                                                                                                                 => q44 )
                                                                                                                                                                                                                                                                             => q45 ) ) )
                                                                                                                                                                                                                                                                 => ~ ( p36
                                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q36
                                                                                                                                                                                                                                                                                 => q35 )
                                                                                                                                                                                                                                                                             => q45 )
                                                                                                                                                                                                                                                                         => q46 ) ) )
                                                                                                                                                                                                                                                             => ~ ( p37
                                                                                                                                                                                                                                                                 => ~ ( ~ q36
                                                                                                                                                                                                                                                                     => q46 ) ) )
                                                                                                                                                                                                                                                         => ~ ( p40
                                                                                                                                                                                                                                                             => ~ ( ~ q40
                                                                                                                                                                                                                                                                 => q50 ) ) )
                                                                                                                                                                                                                                                     => ~ ( p41
                                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q41
                                                                                                                                                                                                                                                                     => q40 )
                                                                                                                                                                                                                                                                 => q50 )
                                                                                                                                                                                                                                                             => q51 ) ) )
                                                                                                                                                                                                                                                 => ~ ( p42
                                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q42
                                                                                                                                                                                                                                                                 => q41 )
                                                                                                                                                                                                                                                             => q51 )
                                                                                                                                                                                                                                                         => q52 ) ) )
                                                                                                                                                                                                                                             => ~ ( p43
                                                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q43
                                                                                                                                                                                                                                                             => q42 )
                                                                                                                                                                                                                                                         => q52 )
                                                                                                                                                                                                                                                     => q53 ) ) )
                                                                                                                                                                                                                                         => ~ ( p44
                                                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q44
                                                                                                                                                                                                                                                         => q43 )
                                                                                                                                                                                                                                                     => q53 )
                                                                                                                                                                                                                                                 => q54 ) ) )
                                                                                                                                                                                                                                     => ~ ( p45
                                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q45
                                                                                                                                                                                                                                                     => q44 )
                                                                                                                                                                                                                                                 => q54 )
                                                                                                                                                                                                                                             => q55 ) ) )
                                                                                                                                                                                                                                 => ~ ( p46
                                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q46
                                                                                                                                                                                                                                                 => q45 )
                                                                                                                                                                                                                                             => q55 )
                                                                                                                                                                                                                                         => q56 ) ) )
                                                                                                                                                                                                                             => ~ ( p47
                                                                                                                                                                                                                                 => ~ ( ~ q46
                                                                                                                                                                                                                                     => q56 ) ) )
                                                                                                                                                                                                                         => ~ ( p50
                                                                                                                                                                                                                             => ~ ( ~ q50
                                                                                                                                                                                                                                 => q60 ) ) )
                                                                                                                                                                                                                     => ~ ( p51
                                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q51
                                                                                                                                                                                                                                     => q50 )
                                                                                                                                                                                                                                 => q60 )
                                                                                                                                                                                                                             => q61 ) ) )
                                                                                                                                                                                                                 => ~ ( p52
                                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q52
                                                                                                                                                                                                                                 => q51 )
                                                                                                                                                                                                                             => q61 )
                                                                                                                                                                                                                         => q62 ) ) )
                                                                                                                                                                                                             => ~ ( p53
                                                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q53
                                                                                                                                                                                                                             => q52 )
                                                                                                                                                                                                                         => q62 )
                                                                                                                                                                                                                     => q63 ) ) )
                                                                                                                                                                                                         => ~ ( p54
                                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q54
                                                                                                                                                                                                                         => q53 )
                                                                                                                                                                                                                     => q63 )
                                                                                                                                                                                                                 => q64 ) ) )
                                                                                                                                                                                                     => ~ ( p55
                                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q55
                                                                                                                                                                                                                     => q54 )
                                                                                                                                                                                                                 => q64 )
                                                                                                                                                                                                             => q65 ) ) )
                                                                                                                                                                                                 => ~ ( p56
                                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q56
                                                                                                                                                                                                                 => q55 )
                                                                                                                                                                                                             => q65 )
                                                                                                                                                                                                         => q66 ) ) )
                                                                                                                                                                                             => ~ ( p57
                                                                                                                                                                                                 => ~ ( ~ q56
                                                                                                                                                                                                     => q66 ) ) )
                                                                                                                                                                                         => ~ ( p60
                                                                                                                                                                                             => ~ ( ~ q60
                                                                                                                                                                                                 => q70 ) ) )
                                                                                                                                                                                     => ~ ( p61
                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q61
                                                                                                                                                                                                     => q60 )
                                                                                                                                                                                                 => q70 )
                                                                                                                                                                                             => q71 ) ) )
                                                                                                                                                                                 => ~ ( p62
                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q62
                                                                                                                                                                                                 => q61 )
                                                                                                                                                                                             => q71 )
                                                                                                                                                                                         => q72 ) ) )
                                                                                                                                                                             => ~ ( p63
                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q63
                                                                                                                                                                                             => q62 )
                                                                                                                                                                                         => q72 )
                                                                                                                                                                                     => q73 ) ) )
                                                                                                                                                                         => ~ ( p64
                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q64
                                                                                                                                                                                         => q63 )
                                                                                                                                                                                     => q73 )
                                                                                                                                                                                 => q74 ) ) )
                                                                                                                                                                     => ~ ( p65
                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q65
                                                                                                                                                                                     => q64 )
                                                                                                                                                                                 => q74 )
                                                                                                                                                                             => q75 ) ) )
                                                                                                                                                                 => ~ ( p66
                                                                                                                                                                     => ~ ( ~ ( ~ q66
                                                                                                                                                                             => q65 )
                                                                                                                                                                         => q75 ) ) )
                                                                                                                                                             => ~ ( ~ p01
                                                                                                                                                                 => q01 ) )
                                                                                                                                                         => ~ ( ~ ( ~ p02
                                                                                                                                                                 => q02 )
                                                                                                                                                             => q01 ) )
                                                                                                                                                     => ~ ( ~ ( ~ p03
                                                                                                                                                             => q03 )
                                                                                                                                                         => q02 ) )
                                                                                                                                                 => ~ ( ~ ( ~ p04
                                                                                                                                                         => q04 )
                                                                                                                                                     => q03 ) )
                                                                                                                                             => ~ ( ~ ( ~ p05
                                                                                                                                                     => q05 )
                                                                                                                                                 => q04 ) )
                                                                                                                                         => ~ ( ~ ( ~ p06
                                                                                                                                                 => q06 )
                                                                                                                                             => q05 ) )
                                                                                                                                     => ~ ( ~ p07
                                                                                                                                         => q06 ) )
                                                                                                                                 => ~ ( ~ p10
                                                                                                                                     => q10 ) )
                                                                                                                             => ~ ( ~ ( ~ ( ~ p11
                                                                                                                                         => p01 )
                                                                                                                                     => q11 )
                                                                                                                                 => q10 ) )
                                                                                                                         => ~ ( ~ ( ~ ( ~ p12
                                                                                                                                     => p02 )
                                                                                                                                 => q12 )
                                                                                                                             => q11 ) )
                                                                                                                     => ~ ( ~ ( ~ ( ~ p13
                                                                                                                                 => p03 )
                                                                                                                             => q13 )
                                                                                                                         => q12 ) )
                                                                                                                 => ~ ( ~ ( ~ ( ~ p14
                                                                                                                             => p04 )
                                                                                                                         => q14 )
                                                                                                                     => q13 ) )
                                                                                                             => ~ ( ~ ( ~ ( ~ p15
                                                                                                                         => p05 )
                                                                                                                     => q15 )
                                                                                                                 => q14 ) )
                                                                                                         => ~ ( ~ ( ~ ( ~ p16
                                                                                                                     => p06 )
                                                                                                                 => q16 )
                                                                                                             => q15 ) )
                                                                                                     => ~ ( ~ ( ~ p17
                                                                                                             => p07 )
                                                                                                         => q16 ) )
                                                                                                 => ~ ( ~ ( ~ p20
                                                                                                         => p10 )
                                                                                                     => q20 ) )
                                                                                             => ~ ( ~ ( ~ ( ~ p21
                                                                                                         => p11 )
                                                                                                     => q21 )
                                                                                                 => q20 ) )
                                                                                         => ~ ( ~ ( ~ ( ~ p22
                                                                                                     => p12 )
                                                                                                 => q22 )
                                                                                             => q21 ) )
                                                                                     => ~ ( ~ ( ~ ( ~ p23
                                                                                                 => p13 )
                                                                                             => q23 )
                                                                                         => q22 ) )
                                                                                 => ~ ( ~ ( ~ ( ~ p24
                                                                                             => p14 )
                                                                                         => q24 )
                                                                                     => q23 ) )
                                                                             => ~ ( ~ ( ~ ( ~ p25
                                                                                         => p15 )
                                                                                     => q25 )
                                                                                 => q24 ) )
                                                                         => ~ ( ~ ( ~ ( ~ p26
                                                                                     => p16 )
                                                                                 => q26 )
                                                                             => q25 ) )
                                                                     => ~ ( ~ ( ~ p27
                                                                             => p17 )
                                                                         => q26 ) )
                                                                 => ~ ( ~ ( ~ p30
                                                                         => p20 )
                                                                     => q30 ) )
                                                             => ~ ( ~ ( ~ ( ~ p31
                                                                         => p21 )
                                                                     => q31 )
                                                                 => q30 ) )
                                                         => ~ ( ~ ( ~ ( ~ p32
                                                                     => p22 )
                                                                 => q32 )
                                                             => q31 ) )
                                                     => ~ ( ~ ( ~ ( ~ p33
                                                                 => p23 )
                                                             => q33 )
                                                         => q32 ) )
                                                 => ~ ( ~ ( ~ ( ~ p34
                                                             => p24 )
                                                         => q34 )
                                                     => q33 ) )
                                             => ~ ( ~ ( ~ ( ~ p35
                                                         => p25 )
                                                     => q35 )
                                                 => q34 ) )
                                         => ~ ( ~ ( ~ ( ~ p36
                                                     => p26 )
                                                 => q36 )
                                             => q35 ) )
                                     => ~ ( ~ ( ~ p37
                                             => p27 )
                                         => q36 ) )
                                 => ~ ( ~ ( ~ p40
                                         => p30 )
                                     => q40 ) )
                             => ~ ( ~ ( ~ ( ~ p41
                                         => p31 )
                                     => q41 )
                                 => q40 ) )
                         => ~ ( ~ ( ~ ( ~ p42
                                     => p32 )
                                 => q42 )
                             => q41 ) )
                     => ~ ( ~ ( ~ ( ~ p43
                                 => p33 )
                             => q43 )
                         => q42 ) )
                 => ~ ( ~ ( ~ ( ~ p44
                             => p34 )
                         => q44 )
                     => q43 ) )
             => ~ ( ~ ( ~ ( ~ p45
                         => p35 )
                     => q45 )
                 => q44 ) )
         => ~ ( ~ ( ~ ( ~ p46
                     => p36 )
                 => q46 )
             => q45 ) )
     => ~ ( ~ ( ~ p47
             => p37 )
         => q46 ) ) ),
    introduced(definition,[new_symbols(definition,[sP3])]) ).

thf(sP4,plain,
    ( sP4
  <=> ( ~ p57
     => q66 ) ),
    introduced(definition,[new_symbols(definition,[sP4])]) ).

thf(sP5,plain,
    ( sP5
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( p01
                                                                                                                                                                                                                                                                                                                                                                                                                                           => ~ p11 )
                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p02
                                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ p12 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p03
                                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ p13 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p04
                                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ p14 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p05
                                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ p15 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p06
                                                                                                                                                                                                                                                                                                                                                                                                                             => ~ p16 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p07
                                                                                                                                                                                                                                                                                                                                                                                                                         => ~ p17 ) )
                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p10
                                                                                                                                                                                                                                                                                                                                                                                                                     => ~ p20 ) )
                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p11
                                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p01
                                                                                                                                                                                                                                                                                                                                                                                                                     => p21 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p12
                                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p02
                                                                                                                                                                                                                                                                                                                                                                                                                 => p22 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p13
                                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p03
                                                                                                                                                                                                                                                                                                                                                                                                             => p23 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p14
                                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p04
                                                                                                                                                                                                                                                                                                                                                                                                         => p24 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p15
                                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p05
                                                                                                                                                                                                                                                                                                                                                                                                     => p25 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p16
                                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p06
                                                                                                                                                                                                                                                                                                                                                                                                 => p26 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p17
                                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p07
                                                                                                                                                                                                                                                                                                                                                                                             => p27 ) ) )
                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p20
                                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p10
                                                                                                                                                                                                                                                                                                                                                                                         => p30 ) ) )
                                                                                                                                                                                                                                                                                                                                                                             => ~ ( p21
                                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p11
                                                                                                                                                                                                                                                                                                                                                                                     => p31 ) ) )
                                                                                                                                                                                                                                                                                                                                                                         => ~ ( p22
                                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p12
                                                                                                                                                                                                                                                                                                                                                                                 => p32 ) ) )
                                                                                                                                                                                                                                                                                                                                                                     => ~ ( p23
                                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p13
                                                                                                                                                                                                                                                                                                                                                                             => p33 ) ) )
                                                                                                                                                                                                                                                                                                                                                                 => ~ ( p24
                                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p14
                                                                                                                                                                                                                                                                                                                                                                         => p34 ) ) )
                                                                                                                                                                                                                                                                                                                                                             => ~ ( p25
                                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p15
                                                                                                                                                                                                                                                                                                                                                                     => p35 ) ) )
                                                                                                                                                                                                                                                                                                                                                         => ~ ( p26
                                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p16
                                                                                                                                                                                                                                                                                                                                                                 => p36 ) ) )
                                                                                                                                                                                                                                                                                                                                                     => ~ ( p27
                                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p17
                                                                                                                                                                                                                                                                                                                                                             => p37 ) ) )
                                                                                                                                                                                                                                                                                                                                                 => ~ ( p30
                                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p20
                                                                                                                                                                                                                                                                                                                                                         => p40 ) ) )
                                                                                                                                                                                                                                                                                                                                             => ~ ( p31
                                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p21
                                                                                                                                                                                                                                                                                                                                                     => p41 ) ) )
                                                                                                                                                                                                                                                                                                                                         => ~ ( p32
                                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p22
                                                                                                                                                                                                                                                                                                                                                 => p42 ) ) )
                                                                                                                                                                                                                                                                                                                                     => ~ ( p33
                                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p23
                                                                                                                                                                                                                                                                                                                                             => p43 ) ) )
                                                                                                                                                                                                                                                                                                                                 => ~ ( p34
                                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p24
                                                                                                                                                                                                                                                                                                                                         => p44 ) ) )
                                                                                                                                                                                                                                                                                                                             => ~ ( p35
                                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p25
                                                                                                                                                                                                                                                                                                                                     => p45 ) ) )
                                                                                                                                                                                                                                                                                                                         => ~ ( p36
                                                                                                                                                                                                                                                                                                                             => ~ ( ~ p26
                                                                                                                                                                                                                                                                                                                                 => p46 ) ) )
                                                                                                                                                                                                                                                                                                                     => ~ ( p37
                                                                                                                                                                                                                                                                                                                         => ~ ( ~ p27
                                                                                                                                                                                                                                                                                                                             => p47 ) ) )
                                                                                                                                                                                                                                                                                                                 => ~ ( p40
                                                                                                                                                                                                                                                                                                                     => ~ ( ~ p30
                                                                                                                                                                                                                                                                                                                         => p50 ) ) )
                                                                                                                                                                                                                                                                                                             => ~ ( p41
                                                                                                                                                                                                                                                                                                                 => ~ ( ~ p31
                                                                                                                                                                                                                                                                                                                     => p51 ) ) )
                                                                                                                                                                                                                                                                                                         => ~ ( p42
                                                                                                                                                                                                                                                                                                             => ~ ( ~ p32
                                                                                                                                                                                                                                                                                                                 => p52 ) ) )
                                                                                                                                                                                                                                                                                                     => ~ ( p43
                                                                                                                                                                                                                                                                                                         => ~ ( ~ p33
                                                                                                                                                                                                                                                                                                             => p53 ) ) )
                                                                                                                                                                                                                                                                                                 => ~ ( p44
                                                                                                                                                                                                                                                                                                     => ~ ( ~ p34
                                                                                                                                                                                                                                                                                                         => p54 ) ) )
                                                                                                                                                                                                                                                                                             => ~ ( p45
                                                                                                                                                                                                                                                                                                 => ~ ( ~ p35
                                                                                                                                                                                                                                                                                                     => p55 ) ) )
                                                                                                                                                                                                                                                                                         => ~ ( p46
                                                                                                                                                                                                                                                                                             => ~ ( ~ p36
                                                                                                                                                                                                                                                                                                 => p56 ) ) )
                                                                                                                                                                                                                                                                                     => ~ ( p47
                                                                                                                                                                                                                                                                                         => ~ ( ~ p37
                                                                                                                                                                                                                                                                                             => p57 ) ) )
                                                                                                                                                                                                                                                                                 => ~ ( p50
                                                                                                                                                                                                                                                                                     => ~ ( ~ p40
                                                                                                                                                                                                                                                                                         => p60 ) ) )
                                                                                                                                                                                                                                                                             => ~ ( p51
                                                                                                                                                                                                                                                                                 => ~ ( ~ p41
                                                                                                                                                                                                                                                                                     => p61 ) ) )
                                                                                                                                                                                                                                                                         => ~ ( p52
                                                                                                                                                                                                                                                                             => ~ ( ~ p42
                                                                                                                                                                                                                                                                                 => p62 ) ) )
                                                                                                                                                                                                                                                                     => ~ ( p53
                                                                                                                                                                                                                                                                         => ~ ( ~ p43
                                                                                                                                                                                                                                                                             => p63 ) ) )
                                                                                                                                                                                                                                                                 => ~ ( p54
                                                                                                                                                                                                                                                                     => ~ ( ~ p44
                                                                                                                                                                                                                                                                         => p64 ) ) )
                                                                                                                                                                                                                                                             => ~ ( p55
                                                                                                                                                                                                                                                                 => ~ ( ~ p45
                                                                                                                                                                                                                                                                     => p65 ) ) )
                                                                                                                                                                                                                                                         => ~ ( p56
                                                                                                                                                                                                                                                             => ~ ( ~ p46
                                                                                                                                                                                                                                                                 => p66 ) ) )
                                                                                                                                                                                                                                                     => ~ ( p57
                                                                                                                                                                                                                                                         => ~ p47 ) )
                                                                                                                                                                                                                                                 => ~ ( p60
                                                                                                                                                                                                                                                     => ~ p50 ) )
                                                                                                                                                                                                                                             => ~ ( p61
                                                                                                                                                                                                                                                 => ~ p51 ) )
                                                                                                                                                                                                                                         => ~ ( p62
                                                                                                                                                                                                                                             => ~ p52 ) )
                                                                                                                                                                                                                                     => ~ ( p63
                                                                                                                                                                                                                                         => ~ p53 ) )
                                                                                                                                                                                                                                 => ~ ( p64
                                                                                                                                                                                                                                     => ~ p54 ) )
                                                                                                                                                                                                                             => ~ ( p65
                                                                                                                                                                                                                                 => ~ p55 ) )
                                                                                                                                                                                                                         => ~ ( p66
                                                                                                                                                                                                                             => ~ p56 ) )
                                                                                                                                                                                                                     => ~ ( q01
                                                                                                                                                                                                                         => ~ q02 ) )
                                                                                                                                                                                                                 => ~ ( q02
                                                                                                                                                                                                                     => ~ ( ~ q01
                                                                                                                                                                                                                         => q03 ) ) )
                                                                                                                                                                                                             => ~ ( q03
                                                                                                                                                                                                                 => ~ ( ~ q02
                                                                                                                                                                                                                     => q04 ) ) )
                                                                                                                                                                                                         => ~ ( q04
                                                                                                                                                                                                             => ~ ( ~ q03
                                                                                                                                                                                                                 => q05 ) ) )
                                                                                                                                                                                                     => ~ ( q05
                                                                                                                                                                                                         => ~ ( ~ q04
                                                                                                                                                                                                             => q06 ) ) )
                                                                                                                                                                                                 => ~ ( q06
                                                                                                                                                                                                     => ~ q05 ) )
                                                                                                                                                                                             => ~ ( q10
                                                                                                                                                                                                 => ~ q11 ) )
                                                                                                                                                                                         => ~ ( q11
                                                                                                                                                                                             => ~ ( ~ q10
                                                                                                                                                                                                 => q12 ) ) )
                                                                                                                                                                                     => ~ ( q12
                                                                                                                                                                                         => ~ ( ~ q11
                                                                                                                                                                                             => q13 ) ) )
                                                                                                                                                                                 => ~ ( q13
                                                                                                                                                                                     => ~ ( ~ q12
                                                                                                                                                                                         => q14 ) ) )
                                                                                                                                                                             => ~ ( q14
                                                                                                                                                                                 => ~ ( ~ q13
                                                                                                                                                                                     => q15 ) ) )
                                                                                                                                                                         => ~ ( q15
                                                                                                                                                                             => ~ ( ~ q14
                                                                                                                                                                                 => q16 ) ) )
                                                                                                                                                                     => ~ ( q16
                                                                                                                                                                         => ~ q15 ) )
                                                                                                                                                                 => ~ ( q20
                                                                                                                                                                     => ~ q21 ) )
                                                                                                                                                             => ~ ( q21
                                                                                                                                                                 => ~ ( ~ q20
                                                                                                                                                                     => q22 ) ) )
                                                                                                                                                         => ~ ( q22
                                                                                                                                                             => ~ ( ~ q21
                                                                                                                                                                 => q23 ) ) )
                                                                                                                                                     => ~ ( q23
                                                                                                                                                         => ~ ( ~ q22
                                                                                                                                                             => q24 ) ) )
                                                                                                                                                 => ~ ( q24
                                                                                                                                                     => ~ ( ~ q23
                                                                                                                                                         => q25 ) ) )
                                                                                                                                             => ~ ( q25
                                                                                                                                                 => ~ ( ~ q24
                                                                                                                                                     => q26 ) ) )
                                                                                                                                         => ~ ( q26
                                                                                                                                             => ~ q25 ) )
                                                                                                                                     => ~ ( q30
                                                                                                                                         => ~ q31 ) )
                                                                                                                                 => ~ ( q31
                                                                                                                                     => ~ ( ~ q30
                                                                                                                                         => q32 ) ) )
                                                                                                                             => ~ ( q32
                                                                                                                                 => ~ ( ~ q31
                                                                                                                                     => q33 ) ) )
                                                                                                                         => ~ ( q33
                                                                                                                             => ~ ( ~ q32
                                                                                                                                 => q34 ) ) )
                                                                                                                     => ~ ( q34
                                                                                                                         => ~ ( ~ q33
                                                                                                                             => q35 ) ) )
                                                                                                                 => ~ ( q35
                                                                                                                     => ~ ( ~ q34
                                                                                                                         => q36 ) ) )
                                                                                                             => ~ ( q36
                                                                                                                 => ~ q35 ) )
                                                                                                         => ~ ( q40
                                                                                                             => ~ q41 ) )
                                                                                                     => ~ ( q41
                                                                                                         => ~ ( ~ q40
                                                                                                             => q42 ) ) )
                                                                                                 => ~ ( q42
                                                                                                     => ~ ( ~ q41
                                                                                                         => q43 ) ) )
                                                                                             => ~ ( q43
                                                                                                 => ~ ( ~ q42
                                                                                                     => q44 ) ) )
                                                                                         => ~ ( q44
                                                                                             => ~ ( ~ q43
                                                                                                 => q45 ) ) )
                                                                                     => ~ ( q45
                                                                                         => ~ ( ~ q44
                                                                                             => q46 ) ) )
                                                                                 => ~ ( q46
                                                                                     => ~ q45 ) )
                                                                             => ~ ( q50
                                                                                 => ~ q51 ) )
                                                                         => ~ ( q51
                                                                             => ~ ( ~ q50
                                                                                 => q52 ) ) )
                                                                     => ~ ( q52
                                                                         => ~ ( ~ q51
                                                                             => q53 ) ) )
                                                                 => ~ ( q53
                                                                     => ~ ( ~ q52
                                                                         => q54 ) ) )
                                                             => ~ ( q54
                                                                 => ~ ( ~ q53
                                                                     => q55 ) ) )
                                                         => ~ ( q55
                                                             => ~ ( ~ q54
                                                                 => q56 ) ) )
                                                     => ~ ( q56
                                                         => ~ q55 ) )
                                                 => ~ ( q60
                                                     => ~ q61 ) )
                                             => ~ ( q61
                                                 => ~ ( ~ q60
                                                     => q62 ) ) )
                                         => ~ ( q62
                                             => ~ ( ~ q61
                                                 => q63 ) ) )
                                     => ~ ( q63
                                         => ~ ( ~ q62
                                             => q64 ) ) )
                                 => ~ ( q64
                                     => ~ ( ~ q63
                                         => q65 ) ) )
                             => ~ ( q65
                                 => ~ ( ~ q64
                                     => q66 ) ) )
                         => ~ ( q66
                             => ~ q65 ) )
                     => ~ ( q70
                         => ~ q71 ) )
                 => ~ ( q71
                     => ~ ( ~ q70
                         => q72 ) ) )
             => ~ ( q72
                 => ~ ( ~ q71
                     => q73 ) ) )
         => ~ ( q73
             => ~ ( ~ q72
                 => q74 ) ) )
     => ~ ( q74
         => ~ ( ~ q73
             => q75 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP5])]) ).

thf(sP6,plain,
    ( sP6
  <=> ( ~ p01
     => q01 ) ),
    introduced(definition,[new_symbols(definition,[sP6])]) ).

thf(sP7,plain,
    ( sP7
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( p01
                                                                                                               => ~ p11 )
                                                                                                             => ~ ( p02
                                                                                                                 => ~ p12 ) )
                                                                                                         => ~ ( p03
                                                                                                             => ~ p13 ) )
                                                                                                     => ~ ( p04
                                                                                                         => ~ p14 ) )
                                                                                                 => ~ ( p05
                                                                                                     => ~ p15 ) )
                                                                                             => ~ ( p06
                                                                                                 => ~ p16 ) )
                                                                                         => ~ ( p07
                                                                                             => ~ p17 ) )
                                                                                     => ~ ( p10
                                                                                         => ~ p20 ) )
                                                                                 => ~ ( p11
                                                                                     => ~ ( ~ p01
                                                                                         => p21 ) ) )
                                                                             => ~ ( p12
                                                                                 => ~ ( ~ p02
                                                                                     => p22 ) ) )
                                                                         => ~ ( p13
                                                                             => ~ ( ~ p03
                                                                                 => p23 ) ) )
                                                                     => ~ ( p14
                                                                         => ~ ( ~ p04
                                                                             => p24 ) ) )
                                                                 => ~ ( p15
                                                                     => ~ ( ~ p05
                                                                         => p25 ) ) )
                                                             => ~ ( p16
                                                                 => ~ ( ~ p06
                                                                     => p26 ) ) )
                                                         => ~ ( p17
                                                             => ~ ( ~ p07
                                                                 => p27 ) ) )
                                                     => ~ ( p20
                                                         => ~ ( ~ p10
                                                             => p30 ) ) )
                                                 => ~ ( p21
                                                     => ~ ( ~ p11
                                                         => p31 ) ) )
                                             => ~ ( p22
                                                 => ~ ( ~ p12
                                                     => p32 ) ) )
                                         => ~ ( p23
                                             => ~ ( ~ p13
                                                 => p33 ) ) )
                                     => ~ ( p24
                                         => ~ ( ~ p14
                                             => p34 ) ) )
                                 => ~ ( p25
                                     => ~ ( ~ p15
                                         => p35 ) ) )
                             => ~ ( p26
                                 => ~ ( ~ p16
                                     => p36 ) ) )
                         => ~ ( p27
                             => ~ ( ~ p17
                                 => p37 ) ) )
                     => ~ ( p30
                         => ~ ( ~ p20
                             => p40 ) ) )
                 => ~ ( p31
                     => ~ ( ~ p21
                         => p41 ) ) )
             => ~ ( p32
                 => ~ ( ~ p22
                     => p42 ) ) )
         => ~ ( p33
             => ~ ( ~ p23
                 => p43 ) ) )
     => ~ ( p34
         => ~ ( ~ p24
             => p44 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP7])]) ).

thf(sP8,plain,
    ( sP8
  <=> ( ~ ( ~ sP2
         => ~ ( ~ ( ~ ( ~ p63
                     => p53 )
                 => q63 )
             => q62 ) )
     => ~ ( ~ ( ~ ( ~ p64
                 => p54 )
             => q64 )
         => q63 ) ) ),
    introduced(definition,[new_symbols(definition,[sP8])]) ).

thf(sP9,plain,
    ( sP9
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP5
                                                                                                                                                                                                 => ~ ( q75
                                                                                                                                                                                                     => ~ q74 ) )
                                                                                                                                                                                             => ~ ( p01
                                                                                                                                                                                                 => ~ ( ~ ( ~ q01
                                                                                                                                                                                                         => q10 )
                                                                                                                                                                                                     => q11 ) ) )
                                                                                                                                                                                         => ~ ( p02
                                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q02
                                                                                                                                                                                                         => q01 )
                                                                                                                                                                                                     => q11 )
                                                                                                                                                                                                 => q12 ) ) )
                                                                                                                                                                                     => ~ ( p03
                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q03
                                                                                                                                                                                                     => q02 )
                                                                                                                                                                                                 => q12 )
                                                                                                                                                                                             => q13 ) ) )
                                                                                                                                                                                 => ~ ( p04
                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q04
                                                                                                                                                                                                 => q03 )
                                                                                                                                                                                             => q13 )
                                                                                                                                                                                         => q14 ) ) )
                                                                                                                                                                             => ~ ( p05
                                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q05
                                                                                                                                                                                             => q04 )
                                                                                                                                                                                         => q14 )
                                                                                                                                                                                     => q15 ) ) )
                                                                                                                                                                         => ~ ( p06
                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q06
                                                                                                                                                                                         => q05 )
                                                                                                                                                                                     => q15 )
                                                                                                                                                                                 => q16 ) ) )
                                                                                                                                                                     => ~ ( p07
                                                                                                                                                                         => ~ ( ~ q06
                                                                                                                                                                             => q16 ) ) )
                                                                                                                                                                 => ~ ( p10
                                                                                                                                                                     => ~ ( ~ q10
                                                                                                                                                                         => q20 ) ) )
                                                                                                                                                             => ~ ( p11
                                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q11
                                                                                                                                                                             => q10 )
                                                                                                                                                                         => q20 )
                                                                                                                                                                     => q21 ) ) )
                                                                                                                                                         => ~ ( p12
                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q12
                                                                                                                                                                         => q11 )
                                                                                                                                                                     => q21 )
                                                                                                                                                                 => q22 ) ) )
                                                                                                                                                     => ~ ( p13
                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q13
                                                                                                                                                                     => q12 )
                                                                                                                                                                 => q22 )
                                                                                                                                                             => q23 ) ) )
                                                                                                                                                 => ~ ( p14
                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q14
                                                                                                                                                                 => q13 )
                                                                                                                                                             => q23 )
                                                                                                                                                         => q24 ) ) )
                                                                                                                                             => ~ ( p15
                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q15
                                                                                                                                                             => q14 )
                                                                                                                                                         => q24 )
                                                                                                                                                     => q25 ) ) )
                                                                                                                                         => ~ ( p16
                                                                                                                                             => ~ ( ~ ( ~ ( ~ q16
                                                                                                                                                         => q15 )
                                                                                                                                                     => q25 )
                                                                                                                                                 => q26 ) ) )
                                                                                                                                     => ~ ( p17
                                                                                                                                         => ~ ( ~ q16
                                                                                                                                             => q26 ) ) )
                                                                                                                                 => ~ ( p20
                                                                                                                                     => ~ ( ~ q20
                                                                                                                                         => q30 ) ) )
                                                                                                                             => ~ ( p21
                                                                                                                                 => ~ ( ~ ( ~ ( ~ q21
                                                                                                                                             => q20 )
                                                                                                                                         => q30 )
                                                                                                                                     => q31 ) ) )
                                                                                                                         => ~ ( p22
                                                                                                                             => ~ ( ~ ( ~ ( ~ q22
                                                                                                                                         => q21 )
                                                                                                                                     => q31 )
                                                                                                                                 => q32 ) ) )
                                                                                                                     => ~ ( p23
                                                                                                                         => ~ ( ~ ( ~ ( ~ q23
                                                                                                                                     => q22 )
                                                                                                                                 => q32 )
                                                                                                                             => q33 ) ) )
                                                                                                                 => ~ ( p24
                                                                                                                     => ~ ( ~ ( ~ ( ~ q24
                                                                                                                                 => q23 )
                                                                                                                             => q33 )
                                                                                                                         => q34 ) ) )
                                                                                                             => ~ ( p25
                                                                                                                 => ~ ( ~ ( ~ ( ~ q25
                                                                                                                             => q24 )
                                                                                                                         => q34 )
                                                                                                                     => q35 ) ) )
                                                                                                         => ~ ( p26
                                                                                                             => ~ ( ~ ( ~ ( ~ q26
                                                                                                                         => q25 )
                                                                                                                     => q35 )
                                                                                                                 => q36 ) ) )
                                                                                                     => ~ ( p27
                                                                                                         => ~ ( ~ q26
                                                                                                             => q36 ) ) )
                                                                                                 => ~ ( p30
                                                                                                     => ~ ( ~ q30
                                                                                                         => q40 ) ) )
                                                                                             => ~ ( p31
                                                                                                 => ~ ( ~ ( ~ ( ~ q31
                                                                                                             => q30 )
                                                                                                         => q40 )
                                                                                                     => q41 ) ) )
                                                                                         => ~ ( p32
                                                                                             => ~ ( ~ ( ~ ( ~ q32
                                                                                                         => q31 )
                                                                                                     => q41 )
                                                                                                 => q42 ) ) )
                                                                                     => ~ ( p33
                                                                                         => ~ ( ~ ( ~ ( ~ q33
                                                                                                     => q32 )
                                                                                                 => q42 )
                                                                                             => q43 ) ) )
                                                                                 => ~ ( p34
                                                                                     => ~ ( ~ ( ~ ( ~ q34
                                                                                                 => q33 )
                                                                                             => q43 )
                                                                                         => q44 ) ) )
                                                                             => ~ ( p35
                                                                                 => ~ ( ~ ( ~ ( ~ q35
                                                                                             => q34 )
                                                                                         => q44 )
                                                                                     => q45 ) ) )
                                                                         => ~ ( p36
                                                                             => ~ ( ~ ( ~ ( ~ q36
                                                                                         => q35 )
                                                                                     => q45 )
                                                                                 => q46 ) ) )
                                                                     => ~ ( p37
                                                                         => ~ ( ~ q36
                                                                             => q46 ) ) )
                                                                 => ~ ( p40
                                                                     => ~ ( ~ q40
                                                                         => q50 ) ) )
                                                             => ~ ( p41
                                                                 => ~ ( ~ ( ~ ( ~ q41
                                                                             => q40 )
                                                                         => q50 )
                                                                     => q51 ) ) )
                                                         => ~ ( p42
                                                             => ~ ( ~ ( ~ ( ~ q42
                                                                         => q41 )
                                                                     => q51 )
                                                                 => q52 ) ) )
                                                     => ~ ( p43
                                                         => ~ ( ~ ( ~ ( ~ q43
                                                                     => q42 )
                                                                 => q52 )
                                                             => q53 ) ) )
                                                 => ~ ( p44
                                                     => ~ ( ~ ( ~ ( ~ q44
                                                                 => q43 )
                                                             => q53 )
                                                         => q54 ) ) )
                                             => ~ ( p45
                                                 => ~ ( ~ ( ~ ( ~ q45
                                                             => q44 )
                                                         => q54 )
                                                     => q55 ) ) )
                                         => ~ ( p46
                                             => ~ ( ~ ( ~ ( ~ q46
                                                         => q45 )
                                                     => q55 )
                                                 => q56 ) ) )
                                     => ~ ( p47
                                         => ~ ( ~ q46
                                             => q56 ) ) )
                                 => ~ ( p50
                                     => ~ ( ~ q50
                                         => q60 ) ) )
                             => ~ ( p51
                                 => ~ ( ~ ( ~ ( ~ q51
                                             => q50 )
                                         => q60 )
                                     => q61 ) ) )
                         => ~ ( p52
                             => ~ ( ~ ( ~ ( ~ q52
                                         => q51 )
                                     => q61 )
                                 => q62 ) ) )
                     => ~ ( p53
                         => ~ ( ~ ( ~ ( ~ q53
                                     => q52 )
                                 => q62 )
                             => q63 ) ) )
                 => ~ ( p54
                     => ~ ( ~ ( ~ ( ~ q54
                                 => q53 )
                             => q63 )
                         => q64 ) ) )
             => ~ ( p55
                 => ~ ( ~ ( ~ ( ~ q55
                             => q54 )
                         => q64 )
                     => q65 ) ) )
         => ~ ( p56
             => ~ ( ~ ( ~ ( ~ q56
                         => q55 )
                     => q65 )
                 => q66 ) ) )
     => ~ ( p57
         => ~ ( ~ q56
             => q66 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP9])]) ).

thf(sP10,plain,
    ( sP10
  <=> ( p64
     => ~ p54 ) ),
    introduced(definition,[new_symbols(definition,[sP10])]) ).

thf(sP11,plain,
    ( sP11
  <=> ( ~ q36
     => q46 ) ),
    introduced(definition,[new_symbols(definition,[sP11])]) ).

thf(sP12,plain,
    ( sP12
  <=> q63 ),
    introduced(definition,[new_symbols(definition,[sP12])]) ).

thf(sP13,plain,
    ( sP13
  <=> ( q66
     => ~ q65 ) ),
    introduced(definition,[new_symbols(definition,[sP13])]) ).

thf(sP14,plain,
    ( sP14
  <=> p53 ),
    introduced(definition,[new_symbols(definition,[sP14])]) ).

thf(sP15,plain,
    ( sP15
  <=> ( ~ p21
     => p11 ) ),
    introduced(definition,[new_symbols(definition,[sP15])]) ).

thf(sP16,plain,
    ( sP16
  <=> ( p51
     => ~ ( ~ ( ~ ( ~ q51
                 => q50 )
             => q60 )
         => q61 ) ) ),
    introduced(definition,[new_symbols(definition,[sP16])]) ).

thf(sP17,plain,
    ( sP17
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP9
                                                                     => ~ ( p60
                                                                         => ~ ( ~ q60
                                                                             => q70 ) ) )
                                                                 => ~ ( p61
                                                                     => ~ ( ~ ( ~ ( ~ q61
                                                                                 => q60 )
                                                                             => q70 )
                                                                         => q71 ) ) )
                                                             => ~ ( p62
                                                                 => ~ ( ~ ( ~ ( ~ q62
                                                                             => q61 )
                                                                         => q71 )
                                                                     => q72 ) ) )
                                                         => ~ ( p63
                                                             => ~ ( ~ ( ~ ( ~ sP12
                                                                         => q62 )
                                                                     => q72 )
                                                                 => q73 ) ) )
                                                     => ~ ( p64
                                                         => ~ ( ~ ( ~ ( ~ q64
                                                                     => sP12 )
                                                                 => q73 )
                                                             => q74 ) ) )
                                                 => ~ ( p65
                                                     => ~ ( ~ ( ~ ( ~ q65
                                                                 => q64 )
                                                             => q74 )
                                                         => q75 ) ) )
                                             => ~ ( p66
                                                 => ~ ( ~ ( ~ q66
                                                         => q65 )
                                                     => q75 ) ) )
                                         => ~ sP6 )
                                     => ~ ( ~ ( ~ p02
                                             => q02 )
                                         => q01 ) )
                                 => ~ ( ~ ( ~ p03
                                         => q03 )
                                     => q02 ) )
                             => ~ ( ~ ( ~ p04
                                     => q04 )
                                 => q03 ) )
                         => ~ ( ~ ( ~ p05
                                 => q05 )
                             => q04 ) )
                     => ~ ( ~ ( ~ p06
                             => q06 )
                         => q05 ) )
                 => ~ ( ~ p07
                     => q06 ) )
             => ~ ( ~ p10
                 => q10 ) )
         => ~ ( ~ ( ~ ( ~ p11
                     => p01 )
                 => q11 )
             => q10 ) )
     => ~ ( ~ ( ~ ( ~ p12
                 => p02 )
             => q12 )
         => q11 ) ) ),
    introduced(definition,[new_symbols(definition,[sP17])]) ).

thf(sP18,plain,
    ( sP18
  <=> q03 ),
    introduced(definition,[new_symbols(definition,[sP18])]) ).

thf(sP19,plain,
    ( sP19
  <=> ( p45
     => ~ ( ~ p35
         => p55 ) ) ),
    introduced(definition,[new_symbols(definition,[sP19])]) ).

thf(sP20,plain,
    ( sP20
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP7
                             => ~ ( p35
                                 => ~ ( ~ p25
                                     => p45 ) ) )
                         => ~ ( p36
                             => ~ ( ~ p26
                                 => p46 ) ) )
                     => ~ ( p37
                         => ~ ( ~ p27
                             => p47 ) ) )
                 => ~ ( p40
                     => ~ ( ~ p30
                         => p50 ) ) )
             => ~ ( p41
                 => ~ ( ~ p31
                     => p51 ) ) )
         => ~ ( p42
             => ~ ( ~ p32
                 => p52 ) ) )
     => ~ ( p43
         => ~ ( ~ p33
             => sP14 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP20])]) ).

thf(sP21,plain,
    ( sP21
  <=> ( ~ q60
     => q62 ) ),
    introduced(definition,[new_symbols(definition,[sP21])]) ).

thf(sP22,plain,
    ( sP22
  <=> ( ~ ( ~ p65
         => p55 )
     => q65 ) ),
    introduced(definition,[new_symbols(definition,[sP22])]) ).

thf(sP23,plain,
    ( sP23
  <=> ( ~ q04
     => sP18 ) ),
    introduced(definition,[new_symbols(definition,[sP23])]) ).

thf(sP24,plain,
    ( sP24
  <=> ( p64
     => ~ ( ~ ( ~ ( ~ q64
                 => sP12 )
             => q73 )
         => q74 ) ) ),
    introduced(definition,[new_symbols(definition,[sP24])]) ).

thf(sP25,plain,
    ( sP25
  <=> p41 ),
    introduced(definition,[new_symbols(definition,[sP25])]) ).

thf(sP26,plain,
    ( sP26
  <=> p61 ),
    introduced(definition,[new_symbols(definition,[sP26])]) ).

thf(sP27,plain,
    ( sP27
  <=> ( ~ ( ~ ( ~ ( ~ sP7
                 => ~ ( p35
                     => ~ ( ~ p25
                         => p45 ) ) )
             => ~ ( p36
                 => ~ ( ~ p26
                     => p46 ) ) )
         => ~ ( p37
             => ~ ( ~ p27
                 => p47 ) ) )
     => ~ ( p40
         => ~ ( ~ p30
             => p50 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP27])]) ).

thf(sP28,plain,
    ( sP28
  <=> ( p30
     => ~ ( ~ p20
         => p40 ) ) ),
    introduced(definition,[new_symbols(definition,[sP28])]) ).

thf(sP29,plain,
    ( sP29
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP20
                                                                                                                     => ~ ( p44
                                                                                                                         => ~ ( ~ p34
                                                                                                                             => p54 ) ) )
                                                                                                                 => ~ sP19 )
                                                                                                             => ~ ( p46
                                                                                                                 => ~ ( ~ p36
                                                                                                                     => p56 ) ) )
                                                                                                         => ~ ( p47
                                                                                                             => ~ ( ~ p37
                                                                                                                 => p57 ) ) )
                                                                                                     => ~ ( p50
                                                                                                         => ~ ( ~ p40
                                                                                                             => p60 ) ) )
                                                                                                 => ~ ( p51
                                                                                                     => ~ ( ~ sP25
                                                                                                         => sP26 ) ) )
                                                                                             => ~ ( p52
                                                                                                 => ~ ( ~ p42
                                                                                                     => p62 ) ) )
                                                                                         => ~ ( sP14
                                                                                             => ~ ( ~ p43
                                                                                                 => p63 ) ) )
                                                                                     => ~ ( p54
                                                                                         => ~ ( ~ p44
                                                                                             => p64 ) ) )
                                                                                 => ~ ( p55
                                                                                     => ~ ( ~ p45
                                                                                         => p65 ) ) )
                                                                             => ~ ( p56
                                                                                 => ~ ( ~ p46
                                                                                     => p66 ) ) )
                                                                         => ~ ( p57
                                                                             => ~ p47 ) )
                                                                     => ~ ( p60
                                                                         => ~ p50 ) )
                                                                 => ~ ( sP26
                                                                     => ~ p51 ) )
                                                             => ~ ( p62
                                                                 => ~ p52 ) )
                                                         => ~ ( p63
                                                             => ~ sP14 ) )
                                                     => ~ sP10 )
                                                 => ~ ( p65
                                                     => ~ p55 ) )
                                             => ~ ( p66
                                                 => ~ p56 ) )
                                         => ~ ( q01
                                             => ~ q02 ) )
                                     => ~ ( q02
                                         => ~ ( ~ q01
                                             => sP18 ) ) )
                                 => ~ ( sP18
                                     => ~ ( ~ q02
                                         => q04 ) ) )
                             => ~ ( q04
                                 => ~ ( ~ sP18
                                     => q05 ) ) )
                         => ~ ( q05
                             => ~ ( ~ q04
                                 => q06 ) ) )
                     => ~ ( q06
                         => ~ q05 ) )
                 => ~ ( q10
                     => ~ q11 ) )
             => ~ ( q11
                 => ~ ( ~ q10
                     => q12 ) ) )
         => ~ ( q12
             => ~ ( ~ q11
                 => q13 ) ) )
     => ~ ( q13
         => ~ ( ~ q12
             => q14 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP29])]) ).

thf(sP30,plain,
    ( sP30
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP29
                                                                                     => ~ ( q14
                                                                                         => ~ ( ~ q13
                                                                                             => q15 ) ) )
                                                                                 => ~ ( q15
                                                                                     => ~ ( ~ q14
                                                                                         => q16 ) ) )
                                                                             => ~ ( q16
                                                                                 => ~ q15 ) )
                                                                         => ~ ( q20
                                                                             => ~ q21 ) )
                                                                     => ~ ( q21
                                                                         => ~ ( ~ q20
                                                                             => q22 ) ) )
                                                                 => ~ ( q22
                                                                     => ~ ( ~ q21
                                                                         => q23 ) ) )
                                                             => ~ ( q23
                                                                 => ~ ( ~ q22
                                                                     => q24 ) ) )
                                                         => ~ ( q24
                                                             => ~ ( ~ q23
                                                                 => q25 ) ) )
                                                     => ~ ( q25
                                                         => ~ ( ~ q24
                                                             => q26 ) ) )
                                                 => ~ ( q26
                                                     => ~ q25 ) )
                                             => ~ ( q30
                                                 => ~ q31 ) )
                                         => ~ ( q31
                                             => ~ ( ~ q30
                                                 => q32 ) ) )
                                     => ~ ( q32
                                         => ~ ( ~ q31
                                             => q33 ) ) )
                                 => ~ ( q33
                                     => ~ ( ~ q32
                                         => q34 ) ) )
                             => ~ ( q34
                                 => ~ ( ~ q33
                                     => q35 ) ) )
                         => ~ ( q35
                             => ~ ( ~ q34
                                 => q36 ) ) )
                     => ~ ( q36
                         => ~ q35 ) )
                 => ~ ( q40
                     => ~ q41 ) )
             => ~ ( q41
                 => ~ ( ~ q40
                     => q42 ) ) )
         => ~ ( q42
             => ~ ( ~ q41
                 => q43 ) ) )
     => ~ ( q43
         => ~ ( ~ q42
             => q44 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP30])]) ).

thf(sP31,plain,
    ( sP31
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP17
                                                                                                         => ~ ( ~ ( ~ ( ~ p13
                                                                                                                     => p03 )
                                                                                                                 => q13 )
                                                                                                             => q12 ) )
                                                                                                     => ~ ( ~ ( ~ ( ~ p14
                                                                                                                 => p04 )
                                                                                                             => q14 )
                                                                                                         => q13 ) )
                                                                                                 => ~ ( ~ ( ~ ( ~ p15
                                                                                                             => p05 )
                                                                                                         => q15 )
                                                                                                     => q14 ) )
                                                                                             => ~ ( ~ ( ~ ( ~ p16
                                                                                                         => p06 )
                                                                                                     => q16 )
                                                                                                 => q15 ) )
                                                                                         => ~ ( ~ ( ~ p17
                                                                                                 => p07 )
                                                                                             => q16 ) )
                                                                                     => ~ ( ~ ( ~ p20
                                                                                             => p10 )
                                                                                         => q20 ) )
                                                                                 => ~ ( ~ ( ~ sP15
                                                                                         => q21 )
                                                                                     => q20 ) )
                                                                             => ~ ( ~ ( ~ ( ~ p22
                                                                                         => p12 )
                                                                                     => q22 )
                                                                                 => q21 ) )
                                                                         => ~ ( ~ ( ~ ( ~ p23
                                                                                     => p13 )
                                                                                 => q23 )
                                                                             => q22 ) )
                                                                     => ~ ( ~ ( ~ ( ~ p24
                                                                                 => p14 )
                                                                             => q24 )
                                                                         => q23 ) )
                                                                 => ~ ( ~ ( ~ ( ~ p25
                                                                             => p15 )
                                                                         => q25 )
                                                                     => q24 ) )
                                                             => ~ ( ~ ( ~ ( ~ p26
                                                                         => p16 )
                                                                     => q26 )
                                                                 => q25 ) )
                                                         => ~ ( ~ ( ~ p27
                                                                 => p17 )
                                                             => q26 ) )
                                                     => ~ ( ~ ( ~ p30
                                                             => p20 )
                                                         => q30 ) )
                                                 => ~ ( ~ ( ~ ( ~ p31
                                                             => p21 )
                                                         => q31 )
                                                     => q30 ) )
                                             => ~ ( ~ ( ~ ( ~ p32
                                                         => p22 )
                                                     => q32 )
                                                 => q31 ) )
                                         => ~ ( ~ ( ~ ( ~ p33
                                                     => p23 )
                                                 => q33 )
                                             => q32 ) )
                                     => ~ ( ~ ( ~ ( ~ p34
                                                 => p24 )
                                             => q34 )
                                         => q33 ) )
                                 => ~ ( ~ ( ~ ( ~ p35
                                             => p25 )
                                         => q35 )
                                     => q34 ) )
                             => ~ ( ~ ( ~ ( ~ p36
                                         => p26 )
                                     => q36 )
                                 => q35 ) )
                         => ~ ( ~ ( ~ p37
                                 => p27 )
                             => q36 ) )
                     => ~ ( ~ ( ~ p40
                             => p30 )
                         => q40 ) )
                 => ~ ( ~ ( ~ ( ~ sP25
                             => p31 )
                         => q41 )
                     => q40 ) )
             => ~ ( ~ ( ~ ( ~ p42
                         => p32 )
                     => q42 )
                 => q41 ) )
         => ~ ( ~ ( ~ ( ~ p43
                     => p33 )
                 => q43 )
             => q42 ) )
     => ~ ( ~ ( ~ ( ~ p44
                 => p34 )
             => q44 )
         => q43 ) ) ),
    introduced(definition,[new_symbols(definition,[sP31])]) ).

thf(sP32,plain,
    ( sP32
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP29
                                                                             => ~ ( q14
                                                                                 => ~ ( ~ q13
                                                                                     => q15 ) ) )
                                                                         => ~ ( q15
                                                                             => ~ ( ~ q14
                                                                                 => q16 ) ) )
                                                                     => ~ ( q16
                                                                         => ~ q15 ) )
                                                                 => ~ ( q20
                                                                     => ~ q21 ) )
                                                             => ~ ( q21
                                                                 => ~ ( ~ q20
                                                                     => q22 ) ) )
                                                         => ~ ( q22
                                                             => ~ ( ~ q21
                                                                 => q23 ) ) )
                                                     => ~ ( q23
                                                         => ~ ( ~ q22
                                                             => q24 ) ) )
                                                 => ~ ( q24
                                                     => ~ ( ~ q23
                                                         => q25 ) ) )
                                             => ~ ( q25
                                                 => ~ ( ~ q24
                                                     => q26 ) ) )
                                         => ~ ( q26
                                             => ~ q25 ) )
                                     => ~ ( q30
                                         => ~ q31 ) )
                                 => ~ ( q31
                                     => ~ ( ~ q30
                                         => q32 ) ) )
                             => ~ ( q32
                                 => ~ ( ~ q31
                                     => q33 ) ) )
                         => ~ ( q33
                             => ~ ( ~ q32
                                 => q34 ) ) )
                     => ~ ( q34
                         => ~ ( ~ q33
                             => q35 ) ) )
                 => ~ ( q35
                     => ~ ( ~ q34
                         => q36 ) ) )
             => ~ ( q36
                 => ~ q35 ) )
         => ~ ( q40
             => ~ q41 ) )
     => ~ ( q41
         => ~ ( ~ q40
             => q42 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP32])]) ).

thf(sP33,plain,
    ( sP33
  <=> ( p03
     => ~ p13 ) ),
    introduced(definition,[new_symbols(definition,[sP33])]) ).

thf(sP34,plain,
    ( sP34
  <=> ( ~ ( ~ p47
         => p37 )
     => q46 ) ),
    introduced(definition,[new_symbols(definition,[sP34])]) ).

thf(sP35,plain,
    ( sP35
  <=> ( sP14
     => ~ ( ~ ( ~ ( ~ q53
                 => q52 )
             => q62 )
         => sP12 ) ) ),
    introduced(definition,[new_symbols(definition,[sP35])]) ).

thf(sP36,plain,
    ( sP36
  <=> ( ~ ( ~ ( ~ q15
             => q14 )
         => q24 )
     => q25 ) ),
    introduced(definition,[new_symbols(definition,[sP36])]) ).

thf(sP37,plain,
    ( sP37
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP3
                                         => ~ ( ~ ( ~ p50
                                                 => p40 )
                                             => q50 ) )
                                     => ~ ( ~ ( ~ ( ~ p51
                                                 => sP25 )
                                             => q51 )
                                         => q50 ) )
                                 => ~ ( ~ ( ~ ( ~ p52
                                             => p42 )
                                         => q52 )
                                     => q51 ) )
                             => ~ ( ~ ( ~ ( ~ sP14
                                         => p43 )
                                     => q53 )
                                 => q52 ) )
                         => ~ ( ~ ( ~ ( ~ p54
                                     => p44 )
                                 => q54 )
                             => q53 ) )
                     => ~ ( ~ ( ~ ( ~ p55
                                 => p45 )
                             => q55 )
                         => q54 ) )
                 => ~ ( ~ ( ~ ( ~ p56
                             => p46 )
                         => q56 )
                     => q55 ) )
             => ~ ( ~ ( ~ p57
                     => p47 )
                 => q56 ) )
         => ~ ( ~ ( ~ p60
                 => p50 )
             => q60 ) )
     => ~ ( ~ ( ~ ( ~ sP26
                 => p51 )
             => q61 )
         => q60 ) ) ),
    introduced(definition,[new_symbols(definition,[sP37])]) ).

thf(sP38,plain,
    ( sP38
  <=> p45 ),
    introduced(definition,[new_symbols(definition,[sP38])]) ).

thf(sP39,plain,
    ( sP39
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP20
                                                                                         => ~ ( p44
                                                                                             => ~ ( ~ p34
                                                                                                 => p54 ) ) )
                                                                                     => ~ sP19 )
                                                                                 => ~ ( p46
                                                                                     => ~ ( ~ p36
                                                                                         => p56 ) ) )
                                                                             => ~ ( p47
                                                                                 => ~ ( ~ p37
                                                                                     => p57 ) ) )
                                                                         => ~ ( p50
                                                                             => ~ ( ~ p40
                                                                                 => p60 ) ) )
                                                                     => ~ ( p51
                                                                         => ~ ( ~ sP25
                                                                             => sP26 ) ) )
                                                                 => ~ ( p52
                                                                     => ~ ( ~ p42
                                                                         => p62 ) ) )
                                                             => ~ ( sP14
                                                                 => ~ ( ~ p43
                                                                     => p63 ) ) )
                                                         => ~ ( p54
                                                             => ~ ( ~ p44
                                                                 => p64 ) ) )
                                                     => ~ ( p55
                                                         => ~ ( ~ sP38
                                                             => p65 ) ) )
                                                 => ~ ( p56
                                                     => ~ ( ~ p46
                                                         => p66 ) ) )
                                             => ~ ( p57
                                                 => ~ p47 ) )
                                         => ~ ( p60
                                             => ~ p50 ) )
                                     => ~ ( sP26
                                         => ~ p51 ) )
                                 => ~ ( p62
                                     => ~ p52 ) )
                             => ~ ( p63
                                 => ~ sP14 ) )
                         => ~ sP10 )
                     => ~ ( p65
                         => ~ p55 ) )
                 => ~ ( p66
                     => ~ p56 ) )
             => ~ ( q01
                 => ~ q02 ) )
         => ~ ( q02
             => ~ ( ~ q01
                 => sP18 ) ) )
     => ~ ( sP18
         => ~ ( ~ q02
             => q04 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP39])]) ).

thf(sP40,plain,
    ( sP40
  <=> ( sP26
     => ~ ( ~ ( ~ ( ~ q61
                 => q60 )
             => q70 )
         => q71 ) ) ),
    introduced(definition,[new_symbols(definition,[sP40])]) ).

thf(sP41,plain,
    ( sP41
  <=> ( ~ q33
     => q32 ) ),
    introduced(definition,[new_symbols(definition,[sP41])]) ).

thf(sP42,plain,
    ( sP42
  <=> ( ~ ( ~ p23
         => p13 )
     => q23 ) ),
    introduced(definition,[new_symbols(definition,[sP42])]) ).

thf(sP43,plain,
    ( sP43
  <=> ( ~ ( ~ sP23
         => q13 )
     => q14 ) ),
    introduced(definition,[new_symbols(definition,[sP43])]) ).

thf(sP44,plain,
    ( sP44
  <=> ( ~ ( ~ ( ~ p54
             => p44 )
         => q54 )
     => q53 ) ),
    introduced(definition,[new_symbols(definition,[sP44])]) ).

thf(sP45,plain,
    ( sP45
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP30
                                                                         => ~ ( q44
                                                                             => ~ ( ~ q43
                                                                                 => q45 ) ) )
                                                                     => ~ ( q45
                                                                         => ~ ( ~ q44
                                                                             => q46 ) ) )
                                                                 => ~ ( q46
                                                                     => ~ q45 ) )
                                                             => ~ ( q50
                                                                 => ~ q51 ) )
                                                         => ~ ( q51
                                                             => ~ ( ~ q50
                                                                 => q52 ) ) )
                                                     => ~ ( q52
                                                         => ~ ( ~ q51
                                                             => q53 ) ) )
                                                 => ~ ( q53
                                                     => ~ ( ~ q52
                                                         => q54 ) ) )
                                             => ~ ( q54
                                                 => ~ ( ~ q53
                                                     => q55 ) ) )
                                         => ~ ( q55
                                             => ~ ( ~ q54
                                                 => q56 ) ) )
                                     => ~ ( q56
                                         => ~ q55 ) )
                                 => ~ ( q60
                                     => ~ q61 ) )
                             => ~ ( q61
                                 => ~ sP21 ) )
                         => ~ ( q62
                             => ~ ( ~ q61
                                 => sP12 ) ) )
                     => ~ ( sP12
                         => ~ ( ~ q62
                             => q64 ) ) )
                 => ~ ( q64
                     => ~ ( ~ sP12
                         => q65 ) ) )
             => ~ ( q65
                 => ~ ( ~ q64
                     => q66 ) ) )
         => ~ sP13 )
     => ~ ( q70
         => ~ q71 ) ) ),
    introduced(definition,[new_symbols(definition,[sP45])]) ).

thf(sP46,plain,
    ( sP46
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP30
                         => ~ ( q44
                             => ~ ( ~ q43
                                 => q45 ) ) )
                     => ~ ( q45
                         => ~ ( ~ q44
                             => q46 ) ) )
                 => ~ ( q46
                     => ~ q45 ) )
             => ~ ( q50
                 => ~ q51 ) )
         => ~ ( q51
             => ~ ( ~ q50
                 => q52 ) ) )
     => ~ ( q52
         => ~ ( ~ q51
             => q53 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP46])]) ).

thf(sP47,plain,
    ( sP47
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP5
                                                                                                                                                                                             => ~ ( q75
                                                                                                                                                                                                 => ~ q74 ) )
                                                                                                                                                                                         => ~ ( p01
                                                                                                                                                                                             => ~ ( ~ ( ~ q01
                                                                                                                                                                                                     => q10 )
                                                                                                                                                                                                 => q11 ) ) )
                                                                                                                                                                                     => ~ ( p02
                                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q02
                                                                                                                                                                                                     => q01 )
                                                                                                                                                                                                 => q11 )
                                                                                                                                                                                             => q12 ) ) )
                                                                                                                                                                                 => ~ ( p03
                                                                                                                                                                                     => ~ ( ~ ( ~ ( ~ sP18
                                                                                                                                                                                                 => q02 )
                                                                                                                                                                                             => q12 )
                                                                                                                                                                                         => q13 ) ) )
                                                                                                                                                                             => ~ ( p04
                                                                                                                                                                                 => ~ sP43 ) )
                                                                                                                                                                         => ~ ( p05
                                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q05
                                                                                                                                                                                         => q04 )
                                                                                                                                                                                     => q14 )
                                                                                                                                                                                 => q15 ) ) )
                                                                                                                                                                     => ~ ( p06
                                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q06
                                                                                                                                                                                     => q05 )
                                                                                                                                                                                 => q15 )
                                                                                                                                                                             => q16 ) ) )
                                                                                                                                                                 => ~ ( p07
                                                                                                                                                                     => ~ ( ~ q06
                                                                                                                                                                         => q16 ) ) )
                                                                                                                                                             => ~ ( p10
                                                                                                                                                                 => ~ ( ~ q10
                                                                                                                                                                     => q20 ) ) )
                                                                                                                                                         => ~ ( p11
                                                                                                                                                             => ~ ( ~ ( ~ ( ~ q11
                                                                                                                                                                         => q10 )
                                                                                                                                                                     => q20 )
                                                                                                                                                                 => q21 ) ) )
                                                                                                                                                     => ~ ( p12
                                                                                                                                                         => ~ ( ~ ( ~ ( ~ q12
                                                                                                                                                                     => q11 )
                                                                                                                                                                 => q21 )
                                                                                                                                                             => q22 ) ) )
                                                                                                                                                 => ~ ( p13
                                                                                                                                                     => ~ ( ~ ( ~ ( ~ q13
                                                                                                                                                                 => q12 )
                                                                                                                                                             => q22 )
                                                                                                                                                         => q23 ) ) )
                                                                                                                                             => ~ ( p14
                                                                                                                                                 => ~ ( ~ ( ~ ( ~ q14
                                                                                                                                                             => q13 )
                                                                                                                                                         => q23 )
                                                                                                                                                     => q24 ) ) )
                                                                                                                                         => ~ ( p15
                                                                                                                                             => ~ sP36 ) )
                                                                                                                                     => ~ ( p16
                                                                                                                                         => ~ ( ~ ( ~ ( ~ q16
                                                                                                                                                     => q15 )
                                                                                                                                                 => q25 )
                                                                                                                                             => q26 ) ) )
                                                                                                                                 => ~ ( p17
                                                                                                                                     => ~ ( ~ q16
                                                                                                                                         => q26 ) ) )
                                                                                                                             => ~ ( p20
                                                                                                                                 => ~ ( ~ q20
                                                                                                                                     => q30 ) ) )
                                                                                                                         => ~ ( p21
                                                                                                                             => ~ ( ~ ( ~ ( ~ q21
                                                                                                                                         => q20 )
                                                                                                                                     => q30 )
                                                                                                                                 => q31 ) ) )
                                                                                                                     => ~ ( p22
                                                                                                                         => ~ ( ~ ( ~ ( ~ q22
                                                                                                                                     => q21 )
                                                                                                                                 => q31 )
                                                                                                                             => q32 ) ) )
                                                                                                                 => ~ ( p23
                                                                                                                     => ~ ( ~ ( ~ ( ~ q23
                                                                                                                                 => q22 )
                                                                                                                             => q32 )
                                                                                                                         => q33 ) ) )
                                                                                                             => ~ ( p24
                                                                                                                 => ~ ( ~ ( ~ ( ~ q24
                                                                                                                             => q23 )
                                                                                                                         => q33 )
                                                                                                                     => q34 ) ) )
                                                                                                         => ~ ( p25
                                                                                                             => ~ ( ~ ( ~ ( ~ q25
                                                                                                                         => q24 )
                                                                                                                     => q34 )
                                                                                                                 => q35 ) ) )
                                                                                                     => ~ ( p26
                                                                                                         => ~ ( ~ ( ~ ( ~ q26
                                                                                                                     => q25 )
                                                                                                                 => q35 )
                                                                                                             => q36 ) ) )
                                                                                                 => ~ ( p27
                                                                                                     => ~ ( ~ q26
                                                                                                         => q36 ) ) )
                                                                                             => ~ ( p30
                                                                                                 => ~ ( ~ q30
                                                                                                     => q40 ) ) )
                                                                                         => ~ ( p31
                                                                                             => ~ ( ~ ( ~ ( ~ q31
                                                                                                         => q30 )
                                                                                                     => q40 )
                                                                                                 => q41 ) ) )
                                                                                     => ~ ( p32
                                                                                         => ~ ( ~ ( ~ ( ~ q32
                                                                                                     => q31 )
                                                                                                 => q41 )
                                                                                             => q42 ) ) )
                                                                                 => ~ ( p33
                                                                                     => ~ ( ~ ( ~ sP41
                                                                                             => q42 )
                                                                                         => q43 ) ) )
                                                                             => ~ ( p34
                                                                                 => ~ ( ~ ( ~ ( ~ q34
                                                                                             => q33 )
                                                                                         => q43 )
                                                                                     => q44 ) ) )
                                                                         => ~ ( p35
                                                                             => ~ ( ~ ( ~ ( ~ q35
                                                                                         => q34 )
                                                                                     => q44 )
                                                                                 => q45 ) ) )
                                                                     => ~ ( p36
                                                                         => ~ ( ~ ( ~ ( ~ q36
                                                                                     => q35 )
                                                                                 => q45 )
                                                                             => q46 ) ) )
                                                                 => ~ ( p37
                                                                     => ~ sP11 ) )
                                                             => ~ ( p40
                                                                 => ~ ( ~ q40
                                                                     => q50 ) ) )
                                                         => ~ ( sP25
                                                             => ~ ( ~ ( ~ ( ~ q41
                                                                         => q40 )
                                                                     => q50 )
                                                                 => q51 ) ) )
                                                     => ~ ( p42
                                                         => ~ ( ~ ( ~ ( ~ q42
                                                                     => q41 )
                                                                 => q51 )
                                                             => q52 ) ) )
                                                 => ~ ( p43
                                                     => ~ ( ~ ( ~ ( ~ q43
                                                                 => q42 )
                                                             => q52 )
                                                         => q53 ) ) )
                                             => ~ ( p44
                                                 => ~ ( ~ ( ~ ( ~ q44
                                                             => q43 )
                                                         => q53 )
                                                     => q54 ) ) )
                                         => ~ ( sP38
                                             => ~ ( ~ ( ~ ( ~ q45
                                                         => q44 )
                                                     => q54 )
                                                 => q55 ) ) )
                                     => ~ ( p46
                                         => ~ ( ~ ( ~ ( ~ q46
                                                     => q45 )
                                                 => q55 )
                                             => q56 ) ) )
                                 => ~ ( p47
                                     => ~ ( ~ q46
                                         => q56 ) ) )
                             => ~ ( p50
                                 => ~ ( ~ q50
                                     => q60 ) ) )
                         => ~ sP16 )
                     => ~ ( p52
                         => ~ ( ~ ( ~ ( ~ q52
                                     => q51 )
                                 => q61 )
                             => q62 ) ) )
                 => ~ sP35 )
             => ~ ( p54
                 => ~ ( ~ ( ~ ( ~ q54
                             => q53 )
                         => sP12 )
                     => q64 ) ) )
         => ~ ( p55
             => ~ ( ~ ( ~ ( ~ q55
                         => q54 )
                     => q64 )
                 => q65 ) ) )
     => ~ ( p56
         => ~ ( ~ ( ~ ( ~ q56
                     => q55 )
                 => q65 )
             => q66 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP47])]) ).

thf(sP48,plain,
    ( sP48
  <=> ( ~ ( ~ sP9
         => ~ ( p60
             => ~ ( ~ q60
                 => q70 ) ) )
     => ~ sP40 ) ),
    introduced(definition,[new_symbols(definition,[sP48])]) ).

thf(sP49,plain,
    ( sP49
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP46
                                         => ~ ( q53
                                             => ~ ( ~ q52
                                                 => q54 ) ) )
                                     => ~ ( q54
                                         => ~ ( ~ q53
                                             => q55 ) ) )
                                 => ~ ( q55
                                     => ~ ( ~ q54
                                         => q56 ) ) )
                             => ~ ( q56
                                 => ~ q55 ) )
                         => ~ ( q60
                             => ~ q61 ) )
                     => ~ ( q61
                         => ~ sP21 ) )
                 => ~ ( q62
                     => ~ ( ~ q61
                         => sP12 ) ) )
             => ~ ( sP12
                 => ~ ( ~ q62
                     => q64 ) ) )
         => ~ ( q64
             => ~ ( ~ sP12
                 => q65 ) ) )
     => ~ ( q65
         => ~ ( ~ q64
             => q66 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP49])]) ).

thf(sP50,plain,
    ( sP50
  <=> q42 ),
    introduced(definition,[new_symbols(definition,[sP50])]) ).

thf(sP51,plain,
    ( sP51
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ( p01
                                                   => ~ p11 )
                                                 => ~ ( p02
                                                     => ~ p12 ) )
                                             => ~ sP33 )
                                         => ~ ( p04
                                             => ~ p14 ) )
                                     => ~ ( p05
                                         => ~ p15 ) )
                                 => ~ ( p06
                                     => ~ p16 ) )
                             => ~ ( p07
                                 => ~ p17 ) )
                         => ~ ( p10
                             => ~ p20 ) )
                     => ~ ( p11
                         => ~ ( ~ p01
                             => p21 ) ) )
                 => ~ ( p12
                     => ~ ( ~ p02
                         => p22 ) ) )
             => ~ ( p13
                 => ~ ( ~ p03
                     => p23 ) ) )
         => ~ ( p14
             => ~ ( ~ p04
                 => p24 ) ) )
     => ~ ( p15
         => ~ ( ~ p05
             => p25 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP51])]) ).

thf(sP52,plain,
    ( sP52
  <=> q60 ),
    introduced(definition,[new_symbols(definition,[sP52])]) ).

thf(sP53,plain,
    ( sP53
  <=> q23 ),
    introduced(definition,[new_symbols(definition,[sP53])]) ).

thf(sP54,plain,
    ( sP54
  <=> ( p54
     => ~ ( ~ ( ~ ( ~ q54
                 => q53 )
             => sP12 )
         => q64 ) ) ),
    introduced(definition,[new_symbols(definition,[sP54])]) ).

thf(sP55,plain,
    ( sP55
  <=> ( ~ sP39
     => ~ ( q04
         => ~ ( ~ sP18
             => q05 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP55])]) ).

thf(sP56,plain,
    ( sP56
  <=> ( ~ q34
     => q36 ) ),
    introduced(definition,[new_symbols(definition,[sP56])]) ).

thf(sP57,plain,
    ( sP57
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP17
                                                                                         => ~ ( ~ ( ~ ( ~ p13
                                                                                                     => p03 )
                                                                                                 => q13 )
                                                                                             => q12 ) )
                                                                                     => ~ ( ~ ( ~ ( ~ p14
                                                                                                 => p04 )
                                                                                             => q14 )
                                                                                         => q13 ) )
                                                                                 => ~ ( ~ ( ~ ( ~ p15
                                                                                             => p05 )
                                                                                         => q15 )
                                                                                     => q14 ) )
                                                                             => ~ ( ~ ( ~ ( ~ p16
                                                                                         => p06 )
                                                                                     => q16 )
                                                                                 => q15 ) )
                                                                         => ~ ( ~ ( ~ p17
                                                                                 => p07 )
                                                                             => q16 ) )
                                                                     => ~ ( ~ ( ~ p20
                                                                             => p10 )
                                                                         => q20 ) )
                                                                 => ~ ( ~ ( ~ sP15
                                                                         => q21 )
                                                                     => q20 ) )
                                                             => ~ ( ~ ( ~ ( ~ p22
                                                                         => p12 )
                                                                     => q22 )
                                                                 => q21 ) )
                                                         => ~ ( ~ sP42
                                                             => q22 ) )
                                                     => ~ ( ~ ( ~ ( ~ p24
                                                                 => p14 )
                                                             => q24 )
                                                         => sP53 ) )
                                                 => ~ ( ~ ( ~ ( ~ p25
                                                             => p15 )
                                                         => q25 )
                                                     => q24 ) )
                                             => ~ ( ~ ( ~ ( ~ p26
                                                         => p16 )
                                                     => q26 )
                                                 => q25 ) )
                                         => ~ ( ~ ( ~ p27
                                                 => p17 )
                                             => q26 ) )
                                     => ~ ( ~ ( ~ p30
                                             => p20 )
                                         => q30 ) )
                                 => ~ ( ~ ( ~ ( ~ p31
                                             => p21 )
                                         => q31 )
                                     => q30 ) )
                             => ~ ( ~ ( ~ ( ~ p32
                                         => p22 )
                                     => q32 )
                                 => q31 ) )
                         => ~ ( ~ ( ~ ( ~ p33
                                     => p23 )
                                 => q33 )
                             => q32 ) )
                     => ~ ( ~ ( ~ ( ~ p34
                                 => p24 )
                             => q34 )
                         => q33 ) )
                 => ~ ( ~ ( ~ ( ~ p35
                             => p25 )
                         => q35 )
                     => q34 ) )
             => ~ ( ~ ( ~ ( ~ p36
                         => p26 )
                     => q36 )
                 => q35 ) )
         => ~ ( ~ ( ~ p37
                 => p27 )
             => q36 ) )
     => ~ ( ~ ( ~ p40
             => p30 )
         => q40 ) ) ),
    introduced(definition,[new_symbols(definition,[sP57])]) ).

thf(sP58,plain,
    ( sP58
  <=> ( ~ ( ~ p34
         => p24 )
     => q34 ) ),
    introduced(definition,[new_symbols(definition,[sP58])]) ).

thf(sP59,plain,
    ( sP59
  <=> ( ~ ( ~ ( ~ ( ~ sP51
                 => ~ ( p16
                     => ~ ( ~ p06
                         => p26 ) ) )
             => ~ ( p17
                 => ~ ( ~ p07
                     => p27 ) ) )
         => ~ ( p20
             => ~ ( ~ p10
                 => p30 ) ) )
     => ~ ( p21
         => ~ ( ~ p11
             => p31 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP59])]) ).

thf(sP60,plain,
    ( sP60
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP46
                                 => ~ ( q53
                                     => ~ ( ~ q52
                                         => q54 ) ) )
                             => ~ ( q54
                                 => ~ ( ~ q53
                                     => q55 ) ) )
                         => ~ ( q55
                             => ~ ( ~ q54
                                 => q56 ) ) )
                     => ~ ( q56
                         => ~ q55 ) )
                 => ~ ( sP52
                     => ~ q61 ) )
             => ~ ( q61
                 => ~ sP21 ) )
         => ~ ( q62
             => ~ ( ~ q61
                 => sP12 ) ) )
     => ~ ( sP12
         => ~ ( ~ q62
             => q64 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP60])]) ).

thf(sP61,plain,
    ( sP61
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP20
                                                                             => ~ ( p44
                                                                                 => ~ ( ~ p34
                                                                                     => p54 ) ) )
                                                                         => ~ sP19 )
                                                                     => ~ ( p46
                                                                         => ~ ( ~ p36
                                                                             => p56 ) ) )
                                                                 => ~ ( p47
                                                                     => ~ ( ~ p37
                                                                         => p57 ) ) )
                                                             => ~ ( p50
                                                                 => ~ ( ~ p40
                                                                     => p60 ) ) )
                                                         => ~ ( p51
                                                             => ~ ( ~ sP25
                                                                 => sP26 ) ) )
                                                     => ~ ( p52
                                                         => ~ ( ~ p42
                                                             => p62 ) ) )
                                                 => ~ ( sP14
                                                     => ~ ( ~ p43
                                                         => p63 ) ) )
                                             => ~ ( p54
                                                 => ~ ( ~ p44
                                                     => p64 ) ) )
                                         => ~ ( p55
                                             => ~ ( ~ sP38
                                                 => p65 ) ) )
                                     => ~ ( p56
                                         => ~ ( ~ p46
                                             => p66 ) ) )
                                 => ~ ( p57
                                     => ~ p47 ) )
                             => ~ ( p60
                                 => ~ p50 ) )
                         => ~ ( sP26
                             => ~ p51 ) )
                     => ~ ( p62
                         => ~ p52 ) )
                 => ~ ( p63
                     => ~ sP14 ) )
             => ~ sP10 )
         => ~ ( p65
             => ~ p55 ) )
     => ~ ( p66
         => ~ p56 ) ) ),
    introduced(definition,[new_symbols(definition,[sP61])]) ).

thf(sP62,plain,
    ( sP62
  <=> q26 ),
    introduced(definition,[new_symbols(definition,[sP62])]) ).

thf(sP63,plain,
    ( sP63
  <=> ( p14
     => ~ ( ~ ( ~ ( ~ q14
                 => q13 )
             => sP53 )
         => q24 ) ) ),
    introduced(definition,[new_symbols(definition,[sP63])]) ).

thf(sP64,plain,
    ( sP64
  <=> q30 ),
    introduced(definition,[new_symbols(definition,[sP64])]) ).

thf(sP65,plain,
    ( sP65
  <=> ( ~ p30
     => p20 ) ),
    introduced(definition,[new_symbols(definition,[sP65])]) ).

thf(sP66,plain,
    ( sP66
  <=> ( q24
     => ~ ( ~ sP53
         => q25 ) ) ),
    introduced(definition,[new_symbols(definition,[sP66])]) ).

thf(sP67,plain,
    ( sP67
  <=> ( ~ q50
     => sP52 ) ),
    introduced(definition,[new_symbols(definition,[sP67])]) ).

thf(sP68,plain,
    ( sP68
  <=> ( p13
     => ~ ( ~ ( ~ ( ~ q13
                 => q12 )
             => q22 )
         => sP53 ) ) ),
    introduced(definition,[new_symbols(definition,[sP68])]) ).

thf(sP69,plain,
    ( sP69
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP59
                         => ~ ( p22
                             => ~ ( ~ p12
                                 => p32 ) ) )
                     => ~ ( p23
                         => ~ ( ~ p13
                             => p33 ) ) )
                 => ~ ( p24
                     => ~ ( ~ p14
                         => p34 ) ) )
             => ~ ( p25
                 => ~ ( ~ p15
                     => p35 ) ) )
         => ~ ( p26
             => ~ ( ~ p16
                 => p36 ) ) )
     => ~ ( p27
         => ~ ( ~ p17
             => p37 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP69])]) ).

thf(sP70,plain,
    ( sP70
  <=> ( ~ ( ~ ( ~ q05
             => q04 )
         => q14 )
     => q15 ) ),
    introduced(definition,[new_symbols(definition,[sP70])]) ).

thf(sP71,plain,
    ( sP71
  <=> p23 ),
    introduced(definition,[new_symbols(definition,[sP71])]) ).

thf(sP72,plain,
    ( sP72
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP5
                                                     => ~ ( q75
                                                         => ~ q74 ) )
                                                 => ~ ( p01
                                                     => ~ ( ~ ( ~ q01
                                                             => q10 )
                                                         => q11 ) ) )
                                             => ~ ( p02
                                                 => ~ ( ~ ( ~ ( ~ q02
                                                             => q01 )
                                                         => q11 )
                                                     => q12 ) ) )
                                         => ~ ( p03
                                             => ~ ( ~ ( ~ ( ~ sP18
                                                         => q02 )
                                                     => q12 )
                                                 => q13 ) ) )
                                     => ~ ( p04
                                         => ~ sP43 ) )
                                 => ~ ( p05
                                     => ~ sP70 ) )
                             => ~ ( p06
                                 => ~ ( ~ ( ~ ( ~ q06
                                             => q05 )
                                         => q15 )
                                     => q16 ) ) )
                         => ~ ( p07
                             => ~ ( ~ q06
                                 => q16 ) ) )
                     => ~ ( p10
                         => ~ ( ~ q10
                             => q20 ) ) )
                 => ~ ( p11
                     => ~ ( ~ ( ~ ( ~ q11
                                 => q10 )
                             => q20 )
                         => q21 ) ) )
             => ~ ( p12
                 => ~ ( ~ ( ~ ( ~ q12
                             => q11 )
                         => q21 )
                     => q22 ) ) )
         => ~ sP68 )
     => ~ sP63 ) ),
    introduced(definition,[new_symbols(definition,[sP72])]) ).

thf(sP73,plain,
    ( sP73
  <=> ( ~ ( ~ ( ~ sP69
             => ~ sP28 )
         => ~ ( p31
             => ~ ( ~ p21
                 => sP25 ) ) )
     => ~ ( p32
         => ~ ( ~ p22
             => p42 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP73])]) ).

thf(sP74,plain,
    ( sP74
  <=> ( q70
     => ~ q71 ) ),
    introduced(definition,[new_symbols(definition,[sP74])]) ).

thf(sP75,plain,
    ( sP75
  <=> ( ~ ( ~ sP50
         => q41 )
     => q51 ) ),
    introduced(definition,[new_symbols(definition,[sP75])]) ).

thf(sP76,plain,
    ( sP76
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP3
                             => ~ ( ~ ( ~ p50
                                     => p40 )
                                 => q50 ) )
                         => ~ ( ~ ( ~ ( ~ p51
                                     => sP25 )
                                 => q51 )
                             => q50 ) )
                     => ~ ( ~ ( ~ ( ~ p52
                                 => p42 )
                             => q52 )
                         => q51 ) )
                 => ~ ( ~ ( ~ ( ~ sP14
                             => p43 )
                         => q53 )
                     => q52 ) )
             => ~ sP44 )
         => ~ ( ~ ( ~ ( ~ p55
                     => sP38 )
                 => q55 )
             => q54 ) )
     => ~ ( ~ ( ~ ( ~ p56
                 => p46 )
             => q56 )
         => q55 ) ) ),
    introduced(definition,[new_symbols(definition,[sP76])]) ).

thf(sP77,plain,
    ( sP77
  <=> ( ~ ( ~ p25
         => p15 )
     => q25 ) ),
    introduced(definition,[new_symbols(definition,[sP77])]) ).

thf(sP78,plain,
    ( sP78
  <=> p03 ),
    introduced(definition,[new_symbols(definition,[sP78])]) ).

thf(sP79,plain,
    ( sP79
  <=> ( ~ p31
     => p51 ) ),
    introduced(definition,[new_symbols(definition,[sP79])]) ).

thf(sP80,plain,
    ( sP80
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP29
                                                             => ~ ( q14
                                                                 => ~ ( ~ q13
                                                                     => q15 ) ) )
                                                         => ~ ( q15
                                                             => ~ ( ~ q14
                                                                 => q16 ) ) )
                                                     => ~ ( q16
                                                         => ~ q15 ) )
                                                 => ~ ( q20
                                                     => ~ q21 ) )
                                             => ~ ( q21
                                                 => ~ ( ~ q20
                                                     => q22 ) ) )
                                         => ~ ( q22
                                             => ~ ( ~ q21
                                                 => sP53 ) ) )
                                     => ~ ( sP53
                                         => ~ ( ~ q22
                                             => q24 ) ) )
                                 => ~ sP66 )
                             => ~ ( q25
                                 => ~ ( ~ q24
                                     => sP62 ) ) )
                         => ~ ( sP62
                             => ~ q25 ) )
                     => ~ ( sP64
                         => ~ q31 ) )
                 => ~ ( q31
                     => ~ ( ~ sP64
                         => q32 ) ) )
             => ~ ( q32
                 => ~ ( ~ q31
                     => q33 ) ) )
         => ~ ( q33
             => ~ ( ~ q32
                 => q34 ) ) )
     => ~ ( q34
         => ~ ( ~ q33
             => q35 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP80])]) ).

thf(sP81,plain,
    ( sP81
  <=> ( p37
     => ~ ( ~ p27
         => p47 ) ) ),
    introduced(definition,[new_symbols(definition,[sP81])]) ).

thf(sP82,plain,
    ( sP82
  <=> q15 ),
    introduced(definition,[new_symbols(definition,[sP82])]) ).

thf(sP83,plain,
    ( sP83
  <=> ( ~ sP76
     => ~ ( ~ ( ~ p57
             => p47 )
         => q56 ) ) ),
    introduced(definition,[new_symbols(definition,[sP83])]) ).

thf(sP84,plain,
    ( sP84
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP17
                                                                     => ~ ( ~ ( ~ ( ~ p13
                                                                                 => sP78 )
                                                                             => q13 )
                                                                         => q12 ) )
                                                                 => ~ ( ~ ( ~ ( ~ p14
                                                                             => p04 )
                                                                         => q14 )
                                                                     => q13 ) )
                                                             => ~ ( ~ ( ~ ( ~ p15
                                                                         => p05 )
                                                                     => sP82 )
                                                                 => q14 ) )
                                                         => ~ ( ~ ( ~ ( ~ p16
                                                                     => p06 )
                                                                 => q16 )
                                                             => sP82 ) )
                                                     => ~ ( ~ ( ~ p17
                                                             => p07 )
                                                         => q16 ) )
                                                 => ~ ( ~ ( ~ p20
                                                         => p10 )
                                                     => q20 ) )
                                             => ~ ( ~ ( ~ sP15
                                                     => q21 )
                                                 => q20 ) )
                                         => ~ ( ~ ( ~ ( ~ p22
                                                     => p12 )
                                                 => q22 )
                                             => q21 ) )
                                     => ~ ( ~ sP42
                                         => q22 ) )
                                 => ~ ( ~ ( ~ ( ~ p24
                                             => p14 )
                                         => q24 )
                                     => sP53 ) )
                             => ~ ( ~ sP77
                                 => q24 ) )
                         => ~ ( ~ ( ~ ( ~ p26
                                     => p16 )
                                 => sP62 )
                             => q25 ) )
                     => ~ ( ~ ( ~ p27
                             => p17 )
                         => sP62 ) )
                 => ~ ( ~ sP65
                     => sP64 ) )
             => ~ ( ~ ( ~ ( ~ p31
                         => p21 )
                     => q31 )
                 => sP64 ) )
         => ~ ( ~ ( ~ ( ~ p32
                     => p22 )
                 => q32 )
             => q31 ) )
     => ~ ( ~ ( ~ ( ~ p33
                 => sP71 )
             => q33 )
         => q32 ) ) ),
    introduced(definition,[new_symbols(definition,[sP84])]) ).

thf(sP85,plain,
    ( sP85
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP20
                                                                         => ~ ( p44
                                                                             => ~ ( ~ p34
                                                                                 => p54 ) ) )
                                                                     => ~ sP19 )
                                                                 => ~ ( p46
                                                                     => ~ ( ~ p36
                                                                         => p56 ) ) )
                                                             => ~ ( p47
                                                                 => ~ ( ~ p37
                                                                     => p57 ) ) )
                                                         => ~ ( p50
                                                             => ~ ( ~ p40
                                                                 => p60 ) ) )
                                                     => ~ ( p51
                                                         => ~ ( ~ sP25
                                                             => sP26 ) ) )
                                                 => ~ ( p52
                                                     => ~ ( ~ p42
                                                         => p62 ) ) )
                                             => ~ ( sP14
                                                 => ~ ( ~ p43
                                                     => p63 ) ) )
                                         => ~ ( p54
                                             => ~ ( ~ p44
                                                 => p64 ) ) )
                                     => ~ ( p55
                                         => ~ ( ~ sP38
                                             => p65 ) ) )
                                 => ~ ( p56
                                     => ~ ( ~ p46
                                         => p66 ) ) )
                             => ~ ( p57
                                 => ~ p47 ) )
                         => ~ ( p60
                             => ~ p50 ) )
                     => ~ ( sP26
                         => ~ p51 ) )
                 => ~ ( p62
                     => ~ p52 ) )
             => ~ ( p63
                 => ~ sP14 ) )
         => ~ sP10 )
     => ~ ( p65
         => ~ p55 ) ) ),
    introduced(definition,[new_symbols(definition,[sP85])]) ).

thf(sP86,plain,
    ( sP86
  <=> ( p57
     => ~ ( ~ q56
         => q66 ) ) ),
    introduced(definition,[new_symbols(definition,[sP86])]) ).

thf(sP87,plain,
    ( sP87
  <=> ( ~ ( ~ sP31
         => ~ ( ~ ( ~ ( ~ sP38
                     => p35 )
                 => q45 )
             => q44 ) )
     => ~ ( ~ ( ~ ( ~ p46
                 => p36 )
             => q46 )
         => q45 ) ) ),
    introduced(definition,[new_symbols(definition,[sP87])]) ).

thf(sP88,plain,
    ( sP88
  <=> ( sP25
     => ~ ( ~ ( ~ ( ~ q41
                 => q40 )
             => q50 )
         => q51 ) ) ),
    introduced(definition,[new_symbols(definition,[sP88])]) ).

thf(sP89,plain,
    ( sP89
  <=> ( ~ sP55
     => ~ ( q05
         => ~ ( ~ q04
             => q06 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP89])]) ).

thf(sP90,plain,
    ( sP90
  <=> ( ~ q46
     => q56 ) ),
    introduced(definition,[new_symbols(definition,[sP90])]) ).

thf(sP91,plain,
    ( sP91
  <=> ( ~ p34
     => p54 ) ),
    introduced(definition,[new_symbols(definition,[sP91])]) ).

thf(sP92,plain,
    ( sP92
  <=> ( p60
     => ~ p50 ) ),
    introduced(definition,[new_symbols(definition,[sP92])]) ).

thf(sP93,plain,
    ( sP93
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP20
                                             => ~ ( p44
                                                 => ~ sP91 ) )
                                         => ~ sP19 )
                                     => ~ ( p46
                                         => ~ ( ~ p36
                                             => p56 ) ) )
                                 => ~ ( p47
                                     => ~ ( ~ p37
                                         => p57 ) ) )
                             => ~ ( p50
                                 => ~ ( ~ p40
                                     => p60 ) ) )
                         => ~ ( p51
                             => ~ ( ~ sP25
                                 => sP26 ) ) )
                     => ~ ( p52
                         => ~ ( ~ p42
                             => p62 ) ) )
                 => ~ ( sP14
                     => ~ ( ~ p43
                         => p63 ) ) )
             => ~ ( p54
                 => ~ ( ~ p44
                     => p64 ) ) )
         => ~ ( p55
             => ~ ( ~ sP38
                 => p65 ) ) )
     => ~ ( p56
         => ~ ( ~ p46
             => p66 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP93])]) ).

thf(sP94,plain,
    ( sP94
  <=> ( ~ ( ~ ( ~ q44
             => q43 )
         => q53 )
     => q54 ) ),
    introduced(definition,[new_symbols(definition,[sP94])]) ).

thf(sP95,plain,
    ( sP95
  <=> ( ~ ( ~ ( ~ ( ~ sP30
                 => ~ ( q44
                     => ~ ( ~ q43
                         => q45 ) ) )
             => ~ ( q45
                 => ~ ( ~ q44
                     => q46 ) ) )
         => ~ ( q46
             => ~ q45 ) )
     => ~ ( q50
         => ~ q51 ) ) ),
    introduced(definition,[new_symbols(definition,[sP95])]) ).

thf(sP96,plain,
    ( sP96
  <=> ( q64
     => ~ ( ~ sP12
         => q65 ) ) ),
    introduced(definition,[new_symbols(definition,[sP96])]) ).

thf(sP97,plain,
    ( sP97
  <=> ( ~ ( ~ p32
         => p22 )
     => q32 ) ),
    introduced(definition,[new_symbols(definition,[sP97])]) ).

thf(sP98,plain,
    ( sP98
  <=> ( p05
     => ~ p15 ) ),
    introduced(definition,[new_symbols(definition,[sP98])]) ).

thf(sP99,plain,
    ( sP99
  <=> p34 ),
    introduced(definition,[new_symbols(definition,[sP99])]) ).

thf(sP100,plain,
    ( sP100
  <=> ( ~ sP83
     => ~ ( ~ ( ~ p60
             => p50 )
         => sP52 ) ) ),
    introduced(definition,[new_symbols(definition,[sP100])]) ).

thf(sP101,plain,
    ( sP101
  <=> ( ~ ( ~ ( ~ q45
             => q44 )
         => q54 )
     => q55 ) ),
    introduced(definition,[new_symbols(definition,[sP101])]) ).

thf(sP102,plain,
    ( sP102
  <=> ( ~ ( ~ ( ( p01
               => ~ p11 )
             => ~ ( p02
                 => ~ p12 ) )
         => ~ sP33 )
     => ~ ( p04
         => ~ p14 ) ) ),
    introduced(definition,[new_symbols(definition,[sP102])]) ).

thf(sP103,plain,
    ( sP103
  <=> q06 ),
    introduced(definition,[new_symbols(definition,[sP103])]) ).

thf(sP104,plain,
    ( sP104
  <=> ( ~ ( ~ p64
         => q74 )
     => q73 ) ),
    introduced(definition,[new_symbols(definition,[sP104])]) ).

thf(sP105,plain,
    ( sP105
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP48
                                                         => ~ ( p62
                                                             => ~ ( ~ ( ~ ( ~ q62
                                                                         => q61 )
                                                                     => q71 )
                                                                 => q72 ) ) )
                                                     => ~ ( p63
                                                         => ~ ( ~ ( ~ ( ~ sP12
                                                                     => q62 )
                                                                 => q72 )
                                                             => q73 ) ) )
                                                 => ~ sP24 )
                                             => ~ ( p65
                                                 => ~ ( ~ ( ~ ( ~ q65
                                                             => q64 )
                                                         => q74 )
                                                     => q75 ) ) )
                                         => ~ ( p66
                                             => ~ ( ~ ( ~ q66
                                                     => q65 )
                                                 => q75 ) ) )
                                     => ~ sP6 )
                                 => ~ ( ~ ( ~ p02
                                         => q02 )
                                     => q01 ) )
                             => ~ ( ~ ( ~ sP78
                                     => sP18 )
                                 => q02 ) )
                         => ~ ( ~ ( ~ p04
                                 => q04 )
                             => sP18 ) )
                     => ~ ( ~ ( ~ p05
                             => q05 )
                         => q04 ) )
                 => ~ ( ~ ( ~ p06
                         => sP103 )
                     => q05 ) )
             => ~ ( ~ p07
                 => sP103 ) )
         => ~ ( ~ p10
             => q10 ) )
     => ~ ( ~ ( ~ ( ~ p11
                 => p01 )
             => q11 )
         => q10 ) ) ),
    introduced(definition,[new_symbols(definition,[sP105])]) ).

thf(sP106,plain,
    ( sP106
  <=> ( ~ sP71
     => p13 ) ),
    introduced(definition,[new_symbols(definition,[sP106])]) ).

thf(sP107,plain,
    ( sP107
  <=> ( ~ ( ~ ( ~ sP38
             => p35 )
         => q45 )
     => q44 ) ),
    introduced(definition,[new_symbols(definition,[sP107])]) ).

thf(sP108,plain,
    ( sP108
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP48
                                             => ~ ( p62
                                                 => ~ ( ~ ( ~ ( ~ q62
                                                             => q61 )
                                                         => q71 )
                                                     => q72 ) ) )
                                         => ~ ( p63
                                             => ~ ( ~ ( ~ ( ~ sP12
                                                         => q62 )
                                                     => q72 )
                                                 => q73 ) ) )
                                     => ~ sP24 )
                                 => ~ ( p65
                                     => ~ ( ~ ( ~ ( ~ q65
                                                 => q64 )
                                             => q74 )
                                         => q75 ) ) )
                             => ~ ( p66
                                 => ~ ( ~ ( ~ q66
                                         => q65 )
                                     => q75 ) ) )
                         => ~ sP6 )
                     => ~ ( ~ ( ~ p02
                             => q02 )
                         => q01 ) )
                 => ~ ( ~ ( ~ sP78
                         => sP18 )
                     => q02 ) )
             => ~ ( ~ ( ~ p04
                     => q04 )
                 => sP18 ) )
         => ~ ( ~ ( ~ p05
                 => q05 )
             => q04 ) )
     => ~ ( ~ ( ~ p06
             => sP103 )
         => q05 ) ) ),
    introduced(definition,[new_symbols(definition,[sP108])]) ).

thf(sP109,plain,
    ( sP109
  <=> ( ~ sP26
     => p51 ) ),
    introduced(definition,[new_symbols(definition,[sP109])]) ).

thf(sP110,plain,
    ( sP110
  <=> p50 ),
    introduced(definition,[new_symbols(definition,[sP110])]) ).

thf(sP111,plain,
    ( sP111
  <=> ( sP82
     => ~ ( ~ q14
         => q16 ) ) ),
    introduced(definition,[new_symbols(definition,[sP111])]) ).

thf(sP112,plain,
    ( sP112
  <=> ( ~ ( ~ ( ~ q31
             => sP64 )
         => q40 )
     => q41 ) ),
    introduced(definition,[new_symbols(definition,[sP112])]) ).

thf(sP113,plain,
    ( sP113
  <=> ( ~ ( ~ sP82
         => q14 )
     => q24 ) ),
    introduced(definition,[new_symbols(definition,[sP113])]) ).

thf(sP114,plain,
    ( sP114
  <=> ( ~ ( ~ q11
         => q10 )
     => q20 ) ),
    introduced(definition,[new_symbols(definition,[sP114])]) ).

thf(sP115,plain,
    ( sP115
  <=> ( ~ p27
     => p47 ) ),
    introduced(definition,[new_symbols(definition,[sP115])]) ).

thf(sP116,plain,
    ( sP116
  <=> q14 ),
    introduced(definition,[new_symbols(definition,[sP116])]) ).

thf(sP117,plain,
    ( sP117
  <=> ( ~ ( ~ p54
         => p44 )
     => q54 ) ),
    introduced(definition,[new_symbols(definition,[sP117])]) ).

thf(sP118,plain,
    ( sP118
  <=> ( ~ ( ~ sP72
         => ~ ( p15
             => ~ sP36 ) )
     => ~ ( p16
         => ~ ( ~ ( ~ ( ~ q16
                     => sP82 )
                 => q25 )
             => sP62 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP118])]) ).

thf(sP119,plain,
    ( sP119
  <=> ( ~ ( ~ sP17
         => ~ ( ~ ( ~ ( ~ p13
                     => sP78 )
                 => q13 )
             => q12 ) )
     => ~ ( ~ ( ~ ( ~ p14
                 => p04 )
             => sP116 )
         => q13 ) ) ),
    introduced(definition,[new_symbols(definition,[sP119])]) ).

thf(sP120,plain,
    ( sP120
  <=> p33 ),
    introduced(definition,[new_symbols(definition,[sP120])]) ).

thf(sP121,plain,
    ( sP121
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP118
                                                         => ~ ( p17
                                                             => ~ ( ~ q16
                                                                 => sP62 ) ) )
                                                     => ~ ( p20
                                                         => ~ ( ~ q20
                                                             => sP64 ) ) )
                                                 => ~ ( p21
                                                     => ~ ( ~ ( ~ ( ~ q21
                                                                 => q20 )
                                                             => sP64 )
                                                         => q31 ) ) )
                                             => ~ ( p22
                                                 => ~ ( ~ ( ~ ( ~ q22
                                                             => q21 )
                                                         => q31 )
                                                     => q32 ) ) )
                                         => ~ ( sP71
                                             => ~ ( ~ ( ~ ( ~ sP53
                                                         => q22 )
                                                     => q32 )
                                                 => q33 ) ) )
                                     => ~ ( p24
                                         => ~ ( ~ ( ~ ( ~ q24
                                                     => sP53 )
                                                 => q33 )
                                             => q34 ) ) )
                                 => ~ ( p25
                                     => ~ ( ~ ( ~ ( ~ q25
                                                 => q24 )
                                             => q34 )
                                         => q35 ) ) )
                             => ~ ( p26
                                 => ~ ( ~ ( ~ ( ~ sP62
                                             => q25 )
                                         => q35 )
                                     => q36 ) ) )
                         => ~ ( p27
                             => ~ ( ~ sP62
                                 => q36 ) ) )
                     => ~ ( p30
                         => ~ ( ~ sP64
                             => q40 ) ) )
                 => ~ ( p31
                     => ~ sP112 ) )
             => ~ ( p32
                 => ~ ( ~ ( ~ ( ~ q32
                             => q31 )
                         => q41 )
                     => sP50 ) ) )
         => ~ ( sP120
             => ~ ( ~ ( ~ sP41
                     => sP50 )
                 => q43 ) ) )
     => ~ ( sP99
         => ~ ( ~ ( ~ ( ~ q34
                     => q33 )
                 => q43 )
             => q44 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP121])]) ).

thf(sP122,plain,
    ( sP122
  <=> ( ~ p14
     => sP99 ) ),
    introduced(definition,[new_symbols(definition,[sP122])]) ).

thf(sP123,plain,
    ( sP123
  <=> ( ~ ( ~ sP27
         => ~ ( sP25
             => ~ sP79 ) )
     => ~ ( p42
         => ~ ( ~ p32
             => p52 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP123])]) ).

thf(sP124,plain,
    ( sP124
  <=> q71 ),
    introduced(definition,[new_symbols(definition,[sP124])]) ).

thf(sP125,plain,
    ( sP125
  <=> p14 ),
    introduced(definition,[new_symbols(definition,[sP125])]) ).

thf(sP126,plain,
    ( sP126
  <=> q02 ),
    introduced(definition,[new_symbols(definition,[sP126])]) ).

thf(sP127,plain,
    ( sP127
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP20
                                     => ~ ( p44
                                         => ~ sP91 ) )
                                 => ~ sP19 )
                             => ~ ( p46
                                 => ~ ( ~ p36
                                     => p56 ) ) )
                         => ~ ( p47
                             => ~ ( ~ p37
                                 => p57 ) ) )
                     => ~ ( sP110
                         => ~ ( ~ p40
                             => p60 ) ) )
                 => ~ ( p51
                     => ~ ( ~ sP25
                         => sP26 ) ) )
             => ~ ( p52
                 => ~ ( ~ p42
                     => p62 ) ) )
         => ~ ( sP14
             => ~ ( ~ p43
                 => p63 ) ) )
     => ~ ( p54
         => ~ ( ~ p44
             => p64 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP127])]) ).

thf(sP128,plain,
    ( sP128
  <=> ( ~ ( ~ sP3
         => ~ ( ~ ( ~ sP110
                 => p40 )
             => q50 ) )
     => ~ ( ~ ( ~ ( ~ p51
                 => sP25 )
             => q51 )
         => q50 ) ) ),
    introduced(definition,[new_symbols(definition,[sP128])]) ).

thf(sP129,plain,
    ( sP129
  <=> ( ~ q11
     => q10 ) ),
    introduced(definition,[new_symbols(definition,[sP129])]) ).

thf(sP130,plain,
    ( sP130
  <=> ( ~ ( ~ ( ~ q53
             => q52 )
         => q62 )
     => sP12 ) ),
    introduced(definition,[new_symbols(definition,[sP130])]) ).

thf(sP131,plain,
    ( sP131
  <=> ( ~ q20
     => sP64 ) ),
    introduced(definition,[new_symbols(definition,[sP131])]) ).

thf(sP132,plain,
    ( sP132
  <=> ( ~ q13
     => q12 ) ),
    introduced(definition,[new_symbols(definition,[sP132])]) ).

thf(sP133,plain,
    ( sP133
  <=> q46 ),
    introduced(definition,[new_symbols(definition,[sP133])]) ).

thf(sP134,plain,
    ( sP134
  <=> ( sP120
     => ~ ( ~ ( ~ sP41
             => sP50 )
         => q43 ) ) ),
    introduced(definition,[new_symbols(definition,[sP134])]) ).

thf(sP135,plain,
    ( sP135
  <=> q13 ),
    introduced(definition,[new_symbols(definition,[sP135])]) ).

thf(sP136,plain,
    ( sP136
  <=> q55 ),
    introduced(definition,[new_symbols(definition,[sP136])]) ).

thf(sP137,plain,
    ( sP137
  <=> ( ~ ( ~ sP103
         => q05 )
     => sP82 ) ),
    introduced(definition,[new_symbols(definition,[sP137])]) ).

thf(sP138,plain,
    ( sP138
  <=> ( ~ ( ~ ( ~ sP57
             => ~ ( ~ ( ~ ( ~ sP25
                         => p31 )
                     => q41 )
                 => q40 ) )
         => ~ ( ~ ( ~ ( ~ p42
                     => p32 )
                 => sP50 )
             => q41 ) )
     => ~ ( ~ ( ~ ( ~ p43
                 => sP120 )
             => q43 )
         => sP50 ) ) ),
    introduced(definition,[new_symbols(definition,[sP138])]) ).

thf(sP139,plain,
    ( sP139
  <=> ( ~ sP82
     => sP116 ) ),
    introduced(definition,[new_symbols(definition,[sP139])]) ).

thf(sP140,plain,
    ( sP140
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP102
                         => ~ sP98 )
                     => ~ ( p06
                         => ~ p16 ) )
                 => ~ ( p07
                     => ~ p17 ) )
             => ~ ( p10
                 => ~ p20 ) )
         => ~ ( p11
             => ~ ( ~ p01
                 => p21 ) ) )
     => ~ ( p12
         => ~ ( ~ p02
             => p22 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP140])]) ).

thf(sP141,plain,
    ( sP141
  <=> ( ~ p16
     => p06 ) ),
    introduced(definition,[new_symbols(definition,[sP141])]) ).

thf(sP142,plain,
    ( sP142
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP118
                                                     => ~ ( p17
                                                         => ~ ( ~ q16
                                                             => sP62 ) ) )
                                                 => ~ ( p20
                                                     => ~ sP131 ) )
                                             => ~ ( p21
                                                 => ~ ( ~ ( ~ ( ~ q21
                                                             => q20 )
                                                         => sP64 )
                                                     => q31 ) ) )
                                         => ~ ( p22
                                             => ~ ( ~ ( ~ ( ~ q22
                                                         => q21 )
                                                     => q31 )
                                                 => q32 ) ) )
                                     => ~ ( sP71
                                         => ~ ( ~ ( ~ ( ~ sP53
                                                     => q22 )
                                                 => q32 )
                                             => q33 ) ) )
                                 => ~ ( p24
                                     => ~ ( ~ ( ~ ( ~ q24
                                                 => sP53 )
                                             => q33 )
                                         => q34 ) ) )
                             => ~ ( p25
                                 => ~ ( ~ ( ~ ( ~ q25
                                             => q24 )
                                         => q34 )
                                     => q35 ) ) )
                         => ~ ( p26
                             => ~ ( ~ ( ~ ( ~ sP62
                                         => q25 )
                                     => q35 )
                                 => q36 ) ) )
                     => ~ ( p27
                         => ~ ( ~ sP62
                             => q36 ) ) )
                 => ~ ( p30
                     => ~ ( ~ sP64
                         => q40 ) ) )
             => ~ ( p31
                 => ~ sP112 ) )
         => ~ ( p32
             => ~ ( ~ ( ~ ( ~ q32
                         => q31 )
                     => q41 )
                 => sP50 ) ) )
     => ~ sP134 ) ),
    introduced(definition,[new_symbols(definition,[sP142])]) ).

thf(sP143,plain,
    ( sP143
  <=> ( ~ sP102
     => ~ sP98 ) ),
    introduced(definition,[new_symbols(definition,[sP143])]) ).

thf(sP144,plain,
    ( sP144
  <=> ( p10
     => ~ ( ~ q10
         => q20 ) ) ),
    introduced(definition,[new_symbols(definition,[sP144])]) ).

thf(sP145,plain,
    ( sP145
  <=> ( ~ ( ~ sP5
         => ~ ( q75
             => ~ q74 ) )
     => ~ ( p01
         => ~ ( ~ ( ~ q01
                 => q10 )
             => q11 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP145])]) ).

thf(sP146,plain,
    ( sP146
  <=> ( ~ q54
     => q56 ) ),
    introduced(definition,[new_symbols(definition,[sP146])]) ).

thf(sP147,plain,
    ( sP147
  <=> ( ~ q53
     => q52 ) ),
    introduced(definition,[new_symbols(definition,[sP147])]) ).

thf(sP148,plain,
    ( sP148
  <=> ( ~ ( ~ sP62
         => q25 )
     => q35 ) ),
    introduced(definition,[new_symbols(definition,[sP148])]) ).

thf(sP149,plain,
    ( sP149
  <=> ( ~ sP58
     => q33 ) ),
    introduced(definition,[new_symbols(definition,[sP149])]) ).

thf(sP150,plain,
    ( sP150
  <=> ( ~ ( ~ ( ~ sP59
             => ~ ( p22
                 => ~ ( ~ p12
                     => p32 ) ) )
         => ~ ( sP71
             => ~ ( ~ p13
                 => sP120 ) ) )
     => ~ ( p24
         => ~ sP122 ) ) ),
    introduced(definition,[new_symbols(definition,[sP150])]) ).

thf(sP151,plain,
    ( sP151
  <=> ( ~ p36
     => p26 ) ),
    introduced(definition,[new_symbols(definition,[sP151])]) ).

thf(sP152,plain,
    ( sP152
  <=> ( ~ ( ~ ( ~ q61
             => sP52 )
         => q70 )
     => sP124 ) ),
    introduced(definition,[new_symbols(definition,[sP152])]) ).

thf(sP153,plain,
    ( sP153
  <=> ( ~ ( ~ ( ~ p43
             => sP120 )
         => q43 )
     => sP50 ) ),
    introduced(definition,[new_symbols(definition,[sP153])]) ).

thf(sP154,plain,
    ( sP154
  <=> ( ~ ( ~ ( ~ ( ~ sP128
                 => ~ ( ~ ( ~ ( ~ p52
                             => p42 )
                         => q52 )
                     => q51 ) )
             => ~ ( ~ ( ~ ( ~ sP14
                         => p43 )
                     => q53 )
                 => q52 ) )
         => ~ sP44 )
     => ~ ( ~ ( ~ ( ~ p55
                 => sP38 )
             => sP136 )
         => q54 ) ) ),
    introduced(definition,[new_symbols(definition,[sP154])]) ).

thf(sP155,plain,
    ( sP155
  <=> ( ~ ( ~ ( ~ q54
             => q53 )
         => sP12 )
     => q64 ) ),
    introduced(definition,[new_symbols(definition,[sP155])]) ).

thf(sP156,plain,
    ( sP156
  <=> ( p04
     => ~ sP43 ) ),
    introduced(definition,[new_symbols(definition,[sP156])]) ).

thf(sP157,plain,
    ( sP157
  <=> ( ~ ( ~ sP125
         => p04 )
     => sP116 ) ),
    introduced(definition,[new_symbols(definition,[sP157])]) ).

thf(sP158,plain,
    ( sP158
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP118
                         => ~ ( p17
                             => ~ ( ~ q16
                                 => sP62 ) ) )
                     => ~ ( p20
                         => ~ sP131 ) )
                 => ~ ( p21
                     => ~ ( ~ ( ~ ( ~ q21
                                 => q20 )
                             => sP64 )
                         => q31 ) ) )
             => ~ ( p22
                 => ~ ( ~ ( ~ ( ~ q22
                             => q21 )
                         => q31 )
                     => q32 ) ) )
         => ~ ( sP71
             => ~ ( ~ ( ~ ( ~ sP53
                         => q22 )
                     => q32 )
                 => q33 ) ) )
     => ~ ( p24
         => ~ ( ~ ( ~ ( ~ q24
                     => sP53 )
                 => q33 )
             => q34 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP158])]) ).

thf(sP159,plain,
    ( sP159
  <=> ( ~ ( ~ p63
         => sP14 )
     => sP12 ) ),
    introduced(definition,[new_symbols(definition,[sP159])]) ).

thf(sP160,plain,
    ( sP160
  <=> ( ~ p60
     => q70 ) ),
    introduced(definition,[new_symbols(definition,[sP160])]) ).

thf(sP161,plain,
    ( sP161
  <=> ( sP25
     => ~ sP79 ) ),
    introduced(definition,[new_symbols(definition,[sP161])]) ).

thf(sP162,plain,
    ( sP162
  <=> ( ~ sP151
     => q36 ) ),
    introduced(definition,[new_symbols(definition,[sP162])]) ).

thf(sP163,plain,
    ( sP163
  <=> ( p30
     => ~ ( ~ sP64
         => q40 ) ) ),
    introduced(definition,[new_symbols(definition,[sP163])]) ).

thf(sP164,plain,
    ( sP164
  <=> ( ~ ( ~ ( ~ q25
             => q24 )
         => q34 )
     => q35 ) ),
    introduced(definition,[new_symbols(definition,[sP164])]) ).

thf(sP165,plain,
    ( sP165
  <=> q24 ),
    introduced(definition,[new_symbols(definition,[sP165])]) ).

thf(sP166,plain,
    ( sP166
  <=> ( ~ sP72
     => ~ ( p15
         => ~ sP36 ) ) ),
    introduced(definition,[new_symbols(definition,[sP166])]) ).

thf(sP167,plain,
    ( sP167
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP145
                                     => ~ ( p02
                                         => ~ ( ~ ( ~ ( ~ sP126
                                                     => q01 )
                                                 => q11 )
                                             => q12 ) ) )
                                 => ~ ( sP78
                                     => ~ ( ~ ( ~ ( ~ sP18
                                                 => sP126 )
                                             => q12 )
                                         => sP135 ) ) )
                             => ~ sP156 )
                         => ~ ( p05
                             => ~ sP70 ) )
                     => ~ ( p06
                         => ~ ( ~ sP137
                             => q16 ) ) )
                 => ~ ( p07
                     => ~ ( ~ sP103
                         => q16 ) ) )
             => ~ sP144 )
         => ~ ( p11
             => ~ ( ~ sP114
                 => q21 ) ) )
     => ~ ( p12
         => ~ ( ~ ( ~ ( ~ q12
                     => q11 )
                 => q21 )
             => q22 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP167])]) ).

thf(sP168,plain,
    ( sP168
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP20
                         => ~ ( p44
                             => ~ sP91 ) )
                     => ~ sP19 )
                 => ~ ( p46
                     => ~ ( ~ p36
                         => p56 ) ) )
             => ~ ( p47
                 => ~ ( ~ p37
                     => p57 ) ) )
         => ~ ( sP110
             => ~ ( ~ p40
                 => p60 ) ) )
     => ~ ( p51
         => ~ ( ~ sP25
             => sP26 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP168])]) ).

thf(sP169,plain,
    ( sP169
  <=> ( ~ ( ~ sP41
         => sP50 )
     => q43 ) ),
    introduced(definition,[new_symbols(definition,[sP169])]) ).

thf(sP170,plain,
    ( sP170
  <=> ( ~ ( ~ ( ~ ( ~ sP8
                 => ~ ( ~ sP22
                     => q64 ) )
             => ~ ( ~ ( ~ ( ~ p66
                         => p56 )
                     => q66 )
                 => q65 ) )
         => ~ sP4 )
     => ~ sP160 ) ),
    introduced(definition,[new_symbols(definition,[sP170])]) ).

thf(sP171,plain,
    ( sP171
  <=> ( ~ ( ~ sP121
         => ~ ( p35
             => ~ ( ~ ( ~ ( ~ q35
                         => q34 )
                     => q44 )
                 => q45 ) ) )
     => ~ ( p36
         => ~ ( ~ ( ~ ( ~ q36
                     => q35 )
                 => q45 )
             => sP133 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP171])]) ).

thf(sP172,plain,
    ( sP172
  <=> ( p32
     => ~ ( ~ ( ~ ( ~ q32
                 => q31 )
             => q41 )
         => sP50 ) ) ),
    introduced(definition,[new_symbols(definition,[sP172])]) ).

thf(sP173,plain,
    ( sP173
  <=> ( ~ ( ~ ( ~ sP7
             => ~ ( p35
                 => ~ ( ~ p25
                     => sP38 ) ) )
         => ~ ( p36
             => ~ ( ~ p26
                 => p46 ) ) )
     => ~ sP81 ) ),
    introduced(definition,[new_symbols(definition,[sP173])]) ).

thf(sP174,plain,
    ( sP174
  <=> ( p24
     => ~ sP122 ) ),
    introduced(definition,[new_symbols(definition,[sP174])]) ).

thf(sP175,plain,
    ( sP175
  <=> ( ~ ( ~ ( ~ sP119
             => ~ ( ~ ( ~ ( ~ p15
                         => p05 )
                     => sP82 )
                 => sP116 ) )
         => ~ ( ~ ( ~ sP141
                 => q16 )
             => sP82 ) )
     => ~ ( ~ ( ~ p17
             => p07 )
         => q16 ) ) ),
    introduced(definition,[new_symbols(definition,[sP175])]) ).

thf(sP176,plain,
    ( sP176
  <=> p27 ),
    introduced(definition,[new_symbols(definition,[sP176])]) ).

thf(sP177,plain,
    ( sP177
  <=> q22 ),
    introduced(definition,[new_symbols(definition,[sP177])]) ).

thf(sP178,plain,
    ( sP178
  <=> q75 ),
    introduced(definition,[new_symbols(definition,[sP178])]) ).

thf(sP179,plain,
    ( sP179
  <=> ( ~ ( ~ sP45
         => ~ ( sP124
             => ~ ( ~ q70
                 => q72 ) ) )
     => ~ ( q72
         => ~ ( ~ sP124
             => q73 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP179])]) ).

thf(sP180,plain,
    ( sP180
  <=> ( ~ sP41
     => sP50 ) ),
    introduced(definition,[new_symbols(definition,[sP180])]) ).

thf(sP181,plain,
    ( sP181
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP175
                                             => ~ ( ~ ( ~ p20
                                                     => p10 )
                                                 => q20 ) )
                                         => ~ ( ~ ( ~ sP15
                                                 => q21 )
                                             => q20 ) )
                                     => ~ ( ~ ( ~ ( ~ p22
                                                 => p12 )
                                             => sP177 )
                                         => q21 ) )
                                 => ~ ( ~ sP42
                                     => sP177 ) )
                             => ~ ( ~ ( ~ ( ~ p24
                                         => sP125 )
                                     => sP165 )
                                 => sP53 ) )
                         => ~ ( ~ sP77
                             => sP165 ) )
                     => ~ ( ~ ( ~ ( ~ p26
                                 => p16 )
                             => sP62 )
                         => q25 ) )
                 => ~ ( ~ ( ~ sP176
                         => p17 )
                     => sP62 ) )
             => ~ ( ~ sP65
                 => sP64 ) )
         => ~ ( ~ ( ~ ( ~ p31
                     => p21 )
                 => q31 )
             => sP64 ) )
     => ~ ( ~ sP97
         => q31 ) ) ),
    introduced(definition,[new_symbols(definition,[sP181])]) ).

thf(sP182,plain,
    ( sP182
  <=> ( ~ ( ~ ( ~ q64
             => sP12 )
         => q73 )
     => q74 ) ),
    introduced(definition,[new_symbols(definition,[sP182])]) ).

thf(sP183,plain,
    ( sP183
  <=> ( ~ ( ~ q34
         => q33 )
     => q43 ) ),
    introduced(definition,[new_symbols(definition,[sP183])]) ).

thf(sP184,plain,
    ( sP184
  <=> ( ~ ( ~ sP158
         => ~ ( p25
             => ~ sP164 ) )
     => ~ ( p26
         => ~ ( ~ sP148
             => q36 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP184])]) ).

thf(sP185,plain,
    ( sP185
  <=> ( ~ sP7
     => ~ ( p35
         => ~ ( ~ p25
             => sP38 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP185])]) ).

thf(sP186,plain,
    ( sP186
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ sP171
                     => ~ ( p37
                         => ~ sP11 ) )
                 => ~ ( p40
                     => ~ ( ~ q40
                         => q50 ) ) )
             => ~ sP88 )
         => ~ ( p42
             => ~ ( ~ sP75
                 => q52 ) ) )
     => ~ ( p43
         => ~ ( ~ ( ~ ( ~ q43
                     => sP50 )
                 => q52 )
             => q53 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP186])]) ).

thf(sP187,plain,
    ( sP187
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP48
                         => ~ ( p62
                             => ~ ( ~ ( ~ ( ~ q62
                                         => q61 )
                                     => sP124 )
                                 => q72 ) ) )
                     => ~ ( p63
                         => ~ ( ~ ( ~ ( ~ sP12
                                     => q62 )
                                 => q72 )
                             => q73 ) ) )
                 => ~ sP24 )
             => ~ ( p65
                 => ~ ( ~ ( ~ ( ~ q65
                             => q64 )
                         => q74 )
                     => sP178 ) ) )
         => ~ ( p66
             => ~ ( ~ ( ~ q66
                     => q65 )
                 => sP178 ) ) )
     => ~ sP6 ) ),
    introduced(definition,[new_symbols(definition,[sP187])]) ).

thf(sP188,plain,
    ( sP188
  <=> ( ~ sP31
     => ~ sP107 ) ),
    introduced(definition,[new_symbols(definition,[sP188])]) ).

thf(sP189,plain,
    ( sP189
  <=> ( p35
     => ~ ( ~ ( ~ ( ~ q35
                 => q34 )
             => q44 )
         => q45 ) ) ),
    introduced(definition,[new_symbols(definition,[sP189])]) ).

thf(sP190,plain,
    ( sP190
  <=> ( ~ ( ~ sP25
         => p31 )
     => q41 ) ),
    introduced(definition,[new_symbols(definition,[sP190])]) ).

thf(sP191,plain,
    ( sP191
  <=> ( p17
     => ~ ( ~ q16
         => sP62 ) ) ),
    introduced(definition,[new_symbols(definition,[sP191])]) ).

thf(sP192,plain,
    ( sP192
  <=> p62 ),
    introduced(definition,[new_symbols(definition,[sP192])]) ).

thf(sP193,plain,
    ( sP193
  <=> ( ~ sP114
     => q21 ) ),
    introduced(definition,[new_symbols(definition,[sP193])]) ).

thf(sP194,plain,
    ( sP194
  <=> p11 ),
    introduced(definition,[new_symbols(definition,[sP194])]) ).

thf(sP195,plain,
    ( sP195
  <=> ( sP78
     => ~ ( ~ ( ~ ( ~ sP18
                 => sP126 )
             => q12 )
         => sP135 ) ) ),
    introduced(definition,[new_symbols(definition,[sP195])]) ).

thf(sP196,plain,
    ( sP196
  <=> ( ~ sP171
     => ~ ( p37
         => ~ sP11 ) ) ),
    introduced(definition,[new_symbols(definition,[sP196])]) ).

thf(sP197,plain,
    ( sP197
  <=> p24 ),
    introduced(definition,[new_symbols(definition,[sP197])]) ).

thf(sP198,plain,
    ( sP198
  <=> ( ~ ( ~ sP8
         => ~ ( ~ sP22
             => q64 ) )
     => ~ ( ~ ( ~ ( ~ p66
                 => p56 )
             => q66 )
         => q65 ) ) ),
    introduced(definition,[new_symbols(definition,[sP198])]) ).

thf(sP199,plain,
    ( sP199
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP175
                                 => ~ ( ~ ( ~ p20
                                         => p10 )
                                     => q20 ) )
                             => ~ ( ~ ( ~ sP15
                                     => q21 )
                                 => q20 ) )
                         => ~ ( ~ ( ~ ( ~ p22
                                     => p12 )
                                 => sP177 )
                             => q21 ) )
                     => ~ ( ~ sP42
                         => sP177 ) )
                 => ~ ( ~ ( ~ ( ~ sP197
                             => sP125 )
                         => sP165 )
                     => sP53 ) )
             => ~ ( ~ sP77
                 => sP165 ) )
         => ~ ( ~ ( ~ ( ~ p26
                     => p16 )
                 => sP62 )
             => q25 ) )
     => ~ ( ~ ( ~ sP176
             => p17 )
         => sP62 ) ) ),
    introduced(definition,[new_symbols(definition,[sP199])]) ).

thf(sP200,plain,
    ( sP200
  <=> ( ~ ( ~ ( ~ sP51
             => ~ ( p16
                 => ~ ( ~ p06
                     => p26 ) ) )
         => ~ ( p17
             => ~ ( ~ p07
                 => sP176 ) ) )
     => ~ ( p20
         => ~ ( ~ p10
             => p30 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP200])]) ).

thf(sP201,plain,
    ( sP201
  <=> ( ~ ( ~ sP89
         => ~ ( sP103
             => ~ q05 ) )
     => ~ ( q10
         => ~ q11 ) ) ),
    introduced(definition,[new_symbols(definition,[sP201])]) ).

thf(sP202,plain,
    ( sP202
  <=> ( p47
     => ~ sP90 ) ),
    introduced(definition,[new_symbols(definition,[sP202])]) ).

thf(sP203,plain,
    ( sP203
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP145
                                 => ~ ( p02
                                     => ~ ( ~ ( ~ ( ~ sP126
                                                 => q01 )
                                             => q11 )
                                         => q12 ) ) )
                             => ~ sP195 )
                         => ~ sP156 )
                     => ~ ( p05
                         => ~ sP70 ) )
                 => ~ ( p06
                     => ~ ( ~ sP137
                         => q16 ) ) )
             => ~ ( p07
                 => ~ ( ~ sP103
                     => q16 ) ) )
         => ~ sP144 )
     => ~ ( sP194
         => ~ sP193 ) ) ),
    introduced(definition,[new_symbols(definition,[sP203])]) ).

thf(sP204,plain,
    ( sP204
  <=> ( ~ ( ~ q44
         => q43 )
     => q53 ) ),
    introduced(definition,[new_symbols(definition,[sP204])]) ).

thf(sP205,plain,
    ( sP205
  <=> ( ~ sP127
     => ~ ( p55
         => ~ ( ~ sP38
             => p65 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP205])]) ).

thf(sP206,plain,
    ( sP206
  <=> q36 ),
    introduced(definition,[new_symbols(definition,[sP206])]) ).

thf(sP207,plain,
    ( sP207
  <=> ( ~ p56
     => p46 ) ),
    introduced(definition,[new_symbols(definition,[sP207])]) ).

thf(sP208,plain,
    ( sP208
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP186
                             => ~ ( p44
                                 => ~ sP94 ) )
                         => ~ ( sP38
                             => ~ sP101 ) )
                     => ~ ( p46
                         => ~ ( ~ ( ~ ( ~ sP133
                                     => q45 )
                                 => sP136 )
                             => q56 ) ) )
                 => ~ sP202 )
             => ~ ( sP110
                 => ~ sP67 ) )
         => ~ sP16 )
     => ~ ( p52
         => ~ ( ~ ( ~ ( ~ q52
                     => q51 )
                 => q61 )
             => q62 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP208])]) ).

thf(sP209,plain,
    ( sP209
  <=> ( p55
     => ~ ( ~ ( ~ ( ~ sP136
                 => q54 )
             => q64 )
         => q65 ) ) ),
    introduced(definition,[new_symbols(definition,[sP209])]) ).

thf(sP210,plain,
    ( sP210
  <=> ( sP194
     => ~ sP193 ) ),
    introduced(definition,[new_symbols(definition,[sP210])]) ).

thf(sP211,plain,
    ( sP211
  <=> q66 ),
    introduced(definition,[new_symbols(definition,[sP211])]) ).

thf(sP212,plain,
    ( sP212
  <=> ( ~ ( ~ sP175
         => ~ ( ~ ( ~ p20
                 => p10 )
             => q20 ) )
     => ~ ( ~ ( ~ sP15
             => q21 )
         => q20 ) ) ),
    introduced(definition,[new_symbols(definition,[sP212])]) ).

thf(sP213,plain,
    ( sP213
  <=> ( ~ ( ~ sP119
         => ~ ( ~ ( ~ ( ~ p15
                     => p05 )
                 => sP82 )
             => sP116 ) )
     => ~ ( ~ ( ~ sP141
             => q16 )
         => sP82 ) ) ),
    introduced(definition,[new_symbols(definition,[sP213])]) ).

thf(sP214,plain,
    ( sP214
  <=> ( ~ ( ~ p52
         => p42 )
     => q52 ) ),
    introduced(definition,[new_symbols(definition,[sP214])]) ).

thf(sP215,plain,
    ( sP215
  <=> ( ~ ( ~ q35
         => q34 )
     => q44 ) ),
    introduced(definition,[new_symbols(definition,[sP215])]) ).

thf(sP216,plain,
    ( sP216
  <=> ( ~ ( ~ sP110
         => p40 )
     => q50 ) ),
    introduced(definition,[new_symbols(definition,[sP216])]) ).

thf(sP217,plain,
    ( sP217
  <=> p43 ),
    introduced(definition,[new_symbols(definition,[sP217])]) ).

thf(sP218,plain,
    ( sP218
  <=> ( ~ sP17
     => ~ ( ~ ( ~ ( ~ p13
                 => sP78 )
             => sP135 )
         => q12 ) ) ),
    introduced(definition,[new_symbols(definition,[sP218])]) ).

thf(sP219,plain,
    ( sP219
  <=> p01 ),
    introduced(definition,[new_symbols(definition,[sP219])]) ).

thf(sP220,plain,
    ( sP220
  <=> ( ~ sP199
     => ~ ( ~ sP65
         => sP64 ) ) ),
    introduced(definition,[new_symbols(definition,[sP220])]) ).

thf(sP221,plain,
    ( sP221
  <=> ( ~ sP51
     => ~ ( p16
         => ~ ( ~ p06
             => p26 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP221])]) ).

thf(sP222,plain,
    ( sP222
  <=> ( ~ sP25
     => p31 ) ),
    introduced(definition,[new_symbols(definition,[sP222])]) ).

thf(sP223,plain,
    ( sP223
  <=> ( ~ sP167
     => ~ sP68 ) ),
    introduced(definition,[new_symbols(definition,[sP223])]) ).

thf(sP224,plain,
    ( sP224
  <=> ( ~ ( ~ ( ~ sP48
             => ~ ( sP192
                 => ~ ( ~ ( ~ ( ~ q62
                             => q61 )
                         => sP124 )
                     => q72 ) ) )
         => ~ ( p63
             => ~ ( ~ ( ~ ( ~ sP12
                         => q62 )
                     => q72 )
                 => q73 ) ) )
     => ~ sP24 ) ),
    introduced(definition,[new_symbols(definition,[sP224])]) ).

thf(sP225,plain,
    ( sP225
  <=> ( sP192
     => ~ p52 ) ),
    introduced(definition,[new_symbols(definition,[sP225])]) ).

thf(sP226,plain,
    ( sP226
  <=> ( ~ sP80
     => ~ ( q35
         => ~ sP56 ) ) ),
    introduced(definition,[new_symbols(definition,[sP226])]) ).

thf(sP227,plain,
    ( sP227
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP29
                                 => ~ ( sP116
                                     => ~ ( ~ sP135
                                         => sP82 ) ) )
                             => ~ sP111 )
                         => ~ ( q16
                             => ~ sP82 ) )
                     => ~ ( q20
                         => ~ q21 ) )
                 => ~ ( q21
                     => ~ ( ~ q20
                         => sP177 ) ) )
             => ~ ( sP177
                 => ~ ( ~ q21
                     => sP53 ) ) )
         => ~ ( sP53
             => ~ ( ~ sP177
                 => sP165 ) ) )
     => ~ sP66 ) ),
    introduced(definition,[new_symbols(definition,[sP227])]) ).

thf(sP228,plain,
    ( sP228
  <=> ( ~ ( ~ ( ~ ( ~ sP84
                 => ~ sP149 )
             => ~ ( ~ ( ~ ( ~ p35
                         => p25 )
                     => q35 )
                 => q34 ) )
         => ~ ( ~ sP162
             => q35 ) )
     => ~ ( ~ ( ~ p37
             => sP176 )
         => sP206 ) ) ),
    introduced(definition,[new_symbols(definition,[sP228])]) ).

thf(sP229,plain,
    ( sP229
  <=> ( ~ ( ~ ( ~ sP30
             => ~ ( q44
                 => ~ ( ~ q43
                     => q45 ) ) )
         => ~ ( q45
             => ~ ( ~ q44
                 => sP133 ) ) )
     => ~ ( sP133
         => ~ q45 ) ) ),
    introduced(definition,[new_symbols(definition,[sP229])]) ).

thf(sP230,plain,
    ( sP230
  <=> ( q43
     => ~ ( ~ sP50
         => q44 ) ) ),
    introduced(definition,[new_symbols(definition,[sP230])]) ).

thf(sP231,plain,
    ( sP231
  <=> ( ~ sP52
     => q70 ) ),
    introduced(definition,[new_symbols(definition,[sP231])]) ).

thf(sP232,plain,
    ( sP232
  <=> ( sP62
     => ~ q25 ) ),
    introduced(definition,[new_symbols(definition,[sP232])]) ).

thf(sP233,plain,
    ( sP233
  <=> ( ~ ( ~ ( ~ sP93
             => ~ ( p57
                 => ~ p47 ) )
         => ~ sP92 )
     => ~ ( sP26
         => ~ p51 ) ) ),
    introduced(definition,[new_symbols(definition,[sP233])]) ).

thf(sP234,plain,
    ( sP234
  <=> ( ~ sP95
     => ~ ( q51
         => ~ ( ~ q50
             => q52 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP234])]) ).

thf(sP235,plain,
    ( sP235
  <=> ( ~ sP179
     => ~ ( q73
         => ~ ( ~ q72
             => q74 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP235])]) ).

thf(sP236,plain,
    ( sP236
  <=> q04 ),
    introduced(definition,[new_symbols(definition,[sP236])]) ).

thf(sP237,plain,
    ( sP237
  <=> ( ~ p05
     => q05 ) ),
    introduced(definition,[new_symbols(definition,[sP237])]) ).

thf(sP238,plain,
    ( sP238
  <=> q72 ),
    introduced(definition,[new_symbols(definition,[sP238])]) ).

thf(sP239,plain,
    ( sP239
  <=> q32 ),
    introduced(definition,[new_symbols(definition,[sP239])]) ).

thf(sP240,plain,
    ( sP240
  <=> ( sP64
     => ~ q31 ) ),
    introduced(definition,[new_symbols(definition,[sP240])]) ).

thf(sP241,plain,
    ( sP241
  <=> ( ~ sP162
     => q35 ) ),
    introduced(definition,[new_symbols(definition,[sP241])]) ).

thf(sP242,plain,
    ( sP242
  <=> ( ~ sP69
     => ~ sP28 ) ),
    introduced(definition,[new_symbols(definition,[sP242])]) ).

thf(sP243,plain,
    ( sP243
  <=> ( ~ ( ~ ( ~ q43
             => sP50 )
         => q52 )
     => q53 ) ),
    introduced(definition,[new_symbols(definition,[sP243])]) ).

thf(sP244,plain,
    ( sP244
  <=> ( ~ sP9
     => ~ ( p60
         => ~ sP231 ) ) ),
    introduced(definition,[new_symbols(definition,[sP244])]) ).

thf(sP245,plain,
    ( sP245
  <=> ( p56
     => ~ ( ~ ( ~ ( ~ q56
                 => sP136 )
             => q65 )
         => sP211 ) ) ),
    introduced(definition,[new_symbols(definition,[sP245])]) ).

thf(sP246,plain,
    ( sP246
  <=> ( ~ sP141
     => q16 ) ),
    introduced(definition,[new_symbols(definition,[sP246])]) ).

thf(sP247,plain,
    ( sP247
  <=> ( ~ ( ~ q54
         => q53 )
     => sP12 ) ),
    introduced(definition,[new_symbols(definition,[sP247])]) ).

thf(sP248,plain,
    ( sP248
  <=> ( ~ sP32
     => ~ ( sP50
         => ~ ( ~ q41
             => q43 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP248])]) ).

thf(sP249,plain,
    ( sP249
  <=> ( ~ sP103
     => q05 ) ),
    introduced(definition,[new_symbols(definition,[sP249])]) ).

thf(sP250,plain,
    ( sP250
  <=> p46 ),
    introduced(definition,[new_symbols(definition,[sP250])]) ).

thf(sP251,plain,
    ( sP251
  <=> ( ~ sP185
     => ~ ( p36
         => ~ ( ~ p26
             => sP250 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP251])]) ).

thf(sP252,plain,
    ( sP252
  <=> q34 ),
    introduced(definition,[new_symbols(definition,[sP252])]) ).

thf(sP253,plain,
    ( sP253
  <=> ( ~ ( ~ sP187
         => ~ ( ~ ( ~ p02
                 => sP126 )
             => q01 ) )
     => ~ ( ~ ( ~ sP78
             => sP18 )
         => sP126 ) ) ),
    introduced(definition,[new_symbols(definition,[sP253])]) ).

thf(sP254,plain,
    ( sP254
  <=> ( ~ ( ~ sP145
         => ~ ( p02
             => ~ ( ~ ( ~ ( ~ sP126
                         => q01 )
                     => q11 )
                 => q12 ) ) )
     => ~ sP195 ) ),
    introduced(definition,[new_symbols(definition,[sP254])]) ).

thf(sP255,plain,
    ( sP255
  <=> ( ~ ( ~ ( ~ q51
             => q50 )
         => sP52 )
     => q61 ) ),
    introduced(definition,[new_symbols(definition,[sP255])]) ).

thf(sP256,plain,
    ( sP256
  <=> ( ~ ( ~ ( ~ sP116
             => sP135 )
         => sP53 )
     => sP165 ) ),
    introduced(definition,[new_symbols(definition,[sP256])]) ).

thf(sP257,plain,
    ( sP257
  <=> ( p15
     => ~ sP36 ) ),
    introduced(definition,[new_symbols(definition,[sP257])]) ).

thf(sP258,plain,
    ( sP258
  <=> q45 ),
    introduced(definition,[new_symbols(definition,[sP258])]) ).

thf(sP259,plain,
    ( sP259
  <=> ( sP38
     => ~ sP101 ) ),
    introduced(definition,[new_symbols(definition,[sP259])]) ).

thf(sP260,plain,
    ( sP260
  <=> ( p22
     => ~ ( ~ ( ~ ( ~ sP177
                 => q21 )
             => q31 )
         => sP239 ) ) ),
    introduced(definition,[new_symbols(definition,[sP260])]) ).

thf(sP261,plain,
    ( sP261
  <=> ( sP250
     => ~ ( ~ p36
         => p56 ) ) ),
    introduced(definition,[new_symbols(definition,[sP261])]) ).

thf(sP262,plain,
    ( sP262
  <=> ( ~ sP15
     => q21 ) ),
    introduced(definition,[new_symbols(definition,[sP262])]) ).

thf(sP263,plain,
    ( sP263
  <=> ( p44
     => ~ sP91 ) ),
    introduced(definition,[new_symbols(definition,[sP263])]) ).

thf(sP264,plain,
    ( sP264
  <=> q10 ),
    introduced(definition,[new_symbols(definition,[sP264])]) ).

thf(sP265,plain,
    ( sP265
  <=> ( ~ p20
     => p40 ) ),
    introduced(definition,[new_symbols(definition,[sP265])]) ).

thf(sP266,plain,
    ( sP266
  <=> p42 ),
    introduced(definition,[new_symbols(definition,[sP266])]) ).

thf(sP267,plain,
    ( sP267
  <=> ( ~ sP22
     => q64 ) ),
    introduced(definition,[new_symbols(definition,[sP267])]) ).

thf(sP268,plain,
    ( sP268
  <=> ( ~ ( ~ sP30
         => ~ ( q44
             => ~ ( ~ q43
                 => sP258 ) ) )
     => ~ ( sP258
         => ~ ( ~ q44
             => sP133 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP268])]) ).

thf(sP269,plain,
    ( sP269
  <=> ( ~ ( ~ sP233
         => ~ sP225 )
     => ~ ( p63
         => ~ sP14 ) ) ),
    introduced(definition,[new_symbols(definition,[sP269])]) ).

thf(sP270,plain,
    ( sP270
  <=> ( ~ ( ~ sP227
         => ~ ( q25
             => ~ ( ~ sP165
                 => sP62 ) ) )
     => ~ sP232 ) ),
    introduced(definition,[new_symbols(definition,[sP270])]) ).

thf(sP271,plain,
    ( sP271
  <=> ( ~ sP132
     => sP177 ) ),
    introduced(definition,[new_symbols(definition,[sP271])]) ).

thf(sP272,plain,
    ( sP272
  <=> ( sP219
     => ~ ( ~ ( ~ q01
             => sP264 )
         => q11 ) ) ),
    introduced(definition,[new_symbols(definition,[sP272])]) ).

thf(sP273,plain,
    ( sP273
  <=> ( ~ ( ~ sP93
         => ~ ( p57
             => ~ p47 ) )
     => ~ sP92 ) ),
    introduced(definition,[new_symbols(definition,[sP273])]) ).

thf(sP274,plain,
    ( sP274
  <=> ( ~ q40
     => q50 ) ),
    introduced(definition,[new_symbols(definition,[sP274])]) ).

thf(sP275,plain,
    ( sP275
  <=> p35 ),
    introduced(definition,[new_symbols(definition,[sP275])]) ).

thf(sP276,plain,
    ( sP276
  <=> ( p57
     => ~ p47 ) ),
    introduced(definition,[new_symbols(definition,[sP276])]) ).

thf(sP277,plain,
    ( sP277
  <=> ( ~ sP1
     => ~ ( ~ p66
         => sP178 ) ) ),
    introduced(definition,[new_symbols(definition,[sP277])]) ).

thf(sP278,plain,
    ( sP278
  <=> ( ~ sP217
     => sP120 ) ),
    introduced(definition,[new_symbols(definition,[sP278])]) ).

thf(sP279,plain,
    ( sP279
  <=> ( ~ ( ~ sP258
         => q44 )
     => q54 ) ),
    introduced(definition,[new_symbols(definition,[sP279])]) ).

thf(sP280,plain,
    ( sP280
  <=> ( ~ ( ~ sP84
         => ~ sP149 )
     => ~ ( ~ ( ~ ( ~ sP275
                 => p25 )
             => q35 )
         => sP252 ) ) ),
    introduced(definition,[new_symbols(definition,[sP280])]) ).

thf(sP281,plain,
    ( sP281
  <=> ( p25
     => ~ sP164 ) ),
    introduced(definition,[new_symbols(definition,[sP281])]) ).

thf(sP282,plain,
    ( sP282
  <=> ( q50
     => ~ q51 ) ),
    introduced(definition,[new_symbols(definition,[sP282])]) ).

thf(sP283,plain,
    ( sP283
  <=> ( ~ sP53
     => q25 ) ),
    introduced(definition,[new_symbols(definition,[sP283])]) ).

thf(sP284,plain,
    ( sP284
  <=> ( ~ sP157
     => sP135 ) ),
    introduced(definition,[new_symbols(definition,[sP284])]) ).

thf(sP285,plain,
    ( sP285
  <=> ( p07
     => ~ p17 ) ),
    introduced(definition,[new_symbols(definition,[sP285])]) ).

thf(sP286,plain,
    ( sP286
  <=> ( ~ sP254
     => ~ sP156 ) ),
    introduced(definition,[new_symbols(definition,[sP286])]) ).

thf(sP287,plain,
    ( sP287
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ ( ~ sP46
                             => ~ ( q53
                                 => ~ ( ~ q52
                                     => q54 ) ) )
                         => ~ ( q54
                             => ~ ( ~ q53
                                 => sP136 ) ) )
                     => ~ ( sP136
                         => ~ sP146 ) )
                 => ~ ( q56
                     => ~ sP136 ) )
             => ~ ( sP52
                 => ~ q61 ) )
         => ~ ( q61
             => ~ sP21 ) )
     => ~ ( q62
         => ~ ( ~ q61
             => sP12 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP287])]) ).

thf(sP288,plain,
    ( sP288
  <=> ( ~ ( ~ sP53
         => sP177 )
     => sP239 ) ),
    introduced(definition,[new_symbols(definition,[sP288])]) ).

thf(sP289,plain,
    ( sP289
  <=> ( p07
     => ~ ( ~ sP103
         => q16 ) ) ),
    introduced(definition,[new_symbols(definition,[sP289])]) ).

thf(sP290,plain,
    ( sP290
  <=> ( ~ ( ~ ( ~ sP29
             => ~ ( sP116
                 => ~ ( ~ sP135
                     => sP82 ) ) )
         => ~ sP111 )
     => ~ ( q16
         => ~ sP82 ) ) ),
    introduced(definition,[new_symbols(definition,[sP290])]) ).

thf(sP291,plain,
    ( sP291
  <=> p37 ),
    introduced(definition,[new_symbols(definition,[sP291])]) ).

thf(sP292,plain,
    ( sP292
  <=> ( ~ ( ~ ( ~ sP170
             => ~ ( ~ ( ~ sP26
                     => sP124 )
                 => q70 ) )
         => ~ ( ~ ( ~ sP192
                 => sP238 )
             => sP124 ) )
     => ~ ( ~ ( ~ p63
             => q73 )
         => sP238 ) ) ),
    introduced(definition,[new_symbols(definition,[sP292])]) ).

thf(sP293,plain,
    ( sP293
  <=> ( ~ ( ~ sP46
         => ~ ( q53
             => ~ ( ~ q52
                 => q54 ) ) )
     => ~ ( q54
         => ~ ( ~ q53
             => sP136 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP293])]) ).

thf(sP294,plain,
    ( sP294
  <=> ( ~ sP125
     => p04 ) ),
    introduced(definition,[new_symbols(definition,[sP294])]) ).

thf(sP295,plain,
    ( sP295
  <=> ( ~ sP42
     => sP177 ) ),
    introduced(definition,[new_symbols(definition,[sP295])]) ).

thf(sP296,plain,
    ( sP296
  <=> ( ~ sP97
     => q31 ) ),
    introduced(definition,[new_symbols(definition,[sP296])]) ).

thf(sP297,plain,
    ( sP297
  <=> ( ~ ( ~ sP150
         => ~ ( p25
             => ~ ( ~ p15
                 => sP275 ) ) )
     => ~ ( p26
         => ~ ( ~ p16
             => p36 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP297])]) ).

thf(sP298,plain,
    ( sP298
  <=> p10 ),
    introduced(definition,[new_symbols(definition,[sP298])]) ).

thf(sP299,plain,
    ( sP299
  <=> ( ~ ( ~ ( ~ sP293
             => ~ ( sP136
                 => ~ sP146 ) )
         => ~ ( q56
             => ~ sP136 ) )
     => ~ ( sP52
         => ~ q61 ) ) ),
    introduced(definition,[new_symbols(definition,[sP299])]) ).

thf(sP300,plain,
    ( sP300
  <=> ( q35
     => ~ sP56 ) ),
    introduced(definition,[new_symbols(definition,[sP300])]) ).

thf(sP301,plain,
    ( sP301
  <=> ( ~ p16
     => p36 ) ),
    introduced(definition,[new_symbols(definition,[sP301])]) ).

thf(sP302,plain,
    ( sP302
  <=> ( ~ sP286
     => ~ ( p05
         => ~ sP70 ) ) ),
    introduced(definition,[new_symbols(definition,[sP302])]) ).

thf(sP303,plain,
    ( sP303
  <=> ( ~ q16
     => sP62 ) ),
    introduced(definition,[new_symbols(definition,[sP303])]) ).

thf(sP304,plain,
    ( sP304
  <=> p56 ),
    introduced(definition,[new_symbols(definition,[sP304])]) ).

thf(sP305,plain,
    ( sP305
  <=> ( ~ p65
     => p55 ) ),
    introduced(definition,[new_symbols(definition,[sP305])]) ).

thf(sP306,plain,
    ( sP306
  <=> ( ~ sP299
     => ~ ( q61
         => ~ sP21 ) ) ),
    introduced(definition,[new_symbols(definition,[sP306])]) ).

thf(sP307,plain,
    ( sP307
  <=> ( ~ sP12
     => q65 ) ),
    introduced(definition,[new_symbols(definition,[sP307])]) ).

thf(sP308,plain,
    ( sP308
  <=> ( ~ sP227
     => ~ ( q25
         => ~ ( ~ sP165
             => sP62 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP308])]) ).

thf(sP309,plain,
    ( sP309
  <=> ( sP71
     => ~ ( ~ sP288
         => q33 ) ) ),
    introduced(definition,[new_symbols(definition,[sP309])]) ).

thf(sP310,plain,
    ( sP310
  <=> ( ~ sP30
     => ~ ( q44
         => ~ ( ~ q43
             => sP258 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP310])]) ).

thf(sP311,plain,
    ( sP311
  <=> ( ~ sP59
     => ~ ( p22
         => ~ ( ~ p12
             => p32 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP311])]) ).

thf(sP312,plain,
    ( sP312
  <=> ( ~ ( ~ sP38
         => sP275 )
     => sP258 ) ),
    introduced(definition,[new_symbols(definition,[sP312])]) ).

thf(sP313,plain,
    ( sP313
  <=> q16 ),
    introduced(definition,[new_symbols(definition,[sP313])]) ).

thf(sP314,plain,
    ( sP314
  <=> ( ~ ( ~ q01
         => sP264 )
     => q11 ) ),
    introduced(definition,[new_symbols(definition,[sP314])]) ).

thf(sP315,plain,
    ( sP315
  <=> ( ~ ( ~ ( ~ sP12
             => q62 )
         => sP238 )
     => q73 ) ),
    introduced(definition,[new_symbols(definition,[sP315])]) ).

thf(sP316,plain,
    ( sP316
  <=> ( ~ sP292
     => ~ sP104 ) ),
    introduced(definition,[new_symbols(definition,[sP316])]) ).

thf(sP317,plain,
    ( sP317
  <=> ( ~ ( ~ q52
         => q51 )
     => q61 ) ),
    introduced(definition,[new_symbols(definition,[sP317])]) ).

thf(sP318,plain,
    ( sP318
  <=> ( ~ ( ~ ( ~ sP270
             => ~ sP240 )
         => ~ ( q31
             => ~ ( ~ sP64
                 => sP239 ) ) )
     => ~ ( sP239
         => ~ ( ~ q31
             => q33 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP318])]) ).

thf(sP319,plain,
    ( sP319
  <=> ( ~ sP239
     => sP252 ) ),
    introduced(definition,[new_symbols(definition,[sP319])]) ).

thf(sP320,plain,
    ( sP320
  <=> ( sP178
     => ~ q74 ) ),
    introduced(definition,[new_symbols(definition,[sP320])]) ).

thf(sP321,plain,
    ( sP321
  <=> q44 ),
    introduced(definition,[new_symbols(definition,[sP321])]) ).

thf(sP322,plain,
    ( sP322
  <=> ( ~ ( ~ sP186
         => ~ ( p44
             => ~ sP94 ) )
     => ~ sP259 ) ),
    introduced(definition,[new_symbols(definition,[sP322])]) ).

thf(sP323,plain,
    ( sP323
  <=> ( ~ sP321
     => q43 ) ),
    introduced(definition,[new_symbols(definition,[sP323])]) ).

thf(sP324,plain,
    ( sP324
  <=> q62 ),
    introduced(definition,[new_symbols(definition,[sP324])]) ).

thf(sP325,plain,
    ( sP325
  <=> ( ~ ( ~ q31
         => sP64 )
     => q40 ) ),
    introduced(definition,[new_symbols(definition,[sP325])]) ).

thf(sP326,plain,
    ( sP326
  <=> ( sP266
     => ~ ( ~ sP75
         => q52 ) ) ),
    introduced(definition,[new_symbols(definition,[sP326])]) ).

thf(sP327,plain,
    ( sP327
  <=> ( ~ ( ~ sP61
         => ~ ( q01
             => ~ sP126 ) )
     => ~ ( sP126
         => ~ ( ~ q01
             => sP18 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP327])]) ).

thf(sP328,plain,
    ( sP328
  <=> ( ~ sP147
     => sP324 ) ),
    introduced(definition,[new_symbols(definition,[sP328])]) ).

thf(sP329,plain,
    ( sP329
  <=> ( ~ ( ~ sP201
         => ~ ( q11
             => ~ ( ~ sP264
                 => q12 ) ) )
     => ~ ( q12
         => ~ ( ~ q11
             => sP135 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP329])]) ).

thf(sP330,plain,
    ( sP330
  <=> ( ~ ( ~ q41
         => q40 )
     => q50 ) ),
    introduced(definition,[new_symbols(definition,[sP330])]) ).

thf(sP331,plain,
    ( sP331
  <=> ( ~ ( ~ ( ~ sP206
             => q35 )
         => sP258 )
     => sP133 ) ),
    introduced(definition,[new_symbols(definition,[sP331])]) ).

thf(sP332,plain,
    ( sP332
  <=> ( ~ p63
     => sP14 ) ),
    introduced(definition,[new_symbols(definition,[sP332])]) ).

thf(sP333,plain,
    ( sP333
  <=> ( ~ ( ~ ( ~ sP128
             => ~ ( ~ sP214
                 => q51 ) )
         => ~ ( ~ ( ~ ( ~ sP14
                     => sP217 )
                 => q53 )
             => q52 ) )
     => ~ sP44 ) ),
    introduced(definition,[new_symbols(definition,[sP333])]) ).

thf(sP334,plain,
    ( sP334
  <=> p30 ),
    introduced(definition,[new_symbols(definition,[sP334])]) ).

thf(sP335,plain,
    ( sP335
  <=> ( p31
     => ~ ( ~ p21
         => sP25 ) ) ),
    introduced(definition,[new_symbols(definition,[sP335])]) ).

thf(sP336,plain,
    ( sP336
  <=> ( ~ sP187
     => ~ ( ~ ( ~ p02
             => sP126 )
         => q01 ) ) ),
    introduced(definition,[new_symbols(definition,[sP336])]) ).

thf(sP337,plain,
    ( sP337
  <=> ( ~ sP5
     => ~ sP320 ) ),
    introduced(definition,[new_symbols(definition,[sP337])]) ).

thf(sP338,plain,
    ( sP338
  <=> ( ~ ( ( sP219
           => ~ sP194 )
         => ~ ( p02
             => ~ p12 ) )
     => ~ sP33 ) ),
    introduced(definition,[new_symbols(definition,[sP338])]) ).

thf(sP339,plain,
    ( sP339
  <=> ( ~ sP75
     => q52 ) ),
    introduced(definition,[new_symbols(definition,[sP339])]) ).

thf(sP340,plain,
    ( sP340
  <=> ( q33
     => ~ sP319 ) ),
    introduced(definition,[new_symbols(definition,[sP340])]) ).

thf(sP341,plain,
    ( sP341
  <=> ( ~ ( ~ ( ~ ( ~ sP20
                 => ~ sP263 )
             => ~ sP19 )
         => ~ sP261 )
     => ~ ( p47
         => ~ ( ~ sP291
             => p57 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP341])]) ).

thf(sP342,plain,
    ( sP342
  <=> p64 ),
    introduced(definition,[new_symbols(definition,[sP342])]) ).

thf(sP343,plain,
    ( sP343
  <=> q64 ),
    introduced(definition,[new_symbols(definition,[sP343])]) ).

thf(sP344,plain,
    ( sP344
  <=> ( ~ sP65
     => sP64 ) ),
    introduced(definition,[new_symbols(definition,[sP344])]) ).

thf(sP345,plain,
    ( sP345
  <=> ( ~ sP270
     => ~ sP240 ) ),
    introduced(definition,[new_symbols(definition,[sP345])]) ).

thf(sP346,plain,
    ( sP346
  <=> ( ~ p47
     => sP291 ) ),
    introduced(definition,[new_symbols(definition,[sP346])]) ).

thf(sP347,plain,
    ( sP347
  <=> p54 ),
    introduced(definition,[new_symbols(definition,[sP347])]) ).

thf(sP348,plain,
    ( sP348
  <=> ( sP217
     => ~ ( ~ sP120
         => sP14 ) ) ),
    introduced(definition,[new_symbols(definition,[sP348])]) ).

thf(sP349,plain,
    ( sP349
  <=> ( ~ sP343
     => sP12 ) ),
    introduced(definition,[new_symbols(definition,[sP349])]) ).

thf(sP350,plain,
    ( sP350
  <=> ( ~ sP238
     => q74 ) ),
    introduced(definition,[new_symbols(definition,[sP350])]) ).

thf(sP351,plain,
    ( sP351
  <=> ( p63
     => ~ sP315 ) ),
    introduced(definition,[new_symbols(definition,[sP351])]) ).

thf(sP352,plain,
    ( sP352
  <=> ( ~ sP62
     => sP206 ) ),
    introduced(definition,[new_symbols(definition,[sP352])]) ).

thf(sP353,plain,
    ( sP353
  <=> ( ~ sP190
     => q40 ) ),
    introduced(definition,[new_symbols(definition,[sP353])]) ).

thf(sP354,plain,
    ( sP354
  <=> ( ~ ( ~ sP212
         => ~ ( ~ ( ~ ( ~ p22
                     => p12 )
                 => sP177 )
             => q21 ) )
     => ~ sP295 ) ),
    introduced(definition,[new_symbols(definition,[sP354])]) ).

thf(sP355,plain,
    ( sP355
  <=> ( ~ ( ~ sP78
         => sP18 )
     => sP126 ) ),
    introduced(definition,[new_symbols(definition,[sP355])]) ).

thf(sP356,plain,
    ( sP356
  <=> ( ~ ( ~ ( ~ ( ~ ( ~ sP118
                     => ~ sP191 )
                 => ~ ( p20
                     => ~ sP131 ) )
             => ~ ( p21
                 => ~ ( ~ ( ~ ( ~ q21
                             => q20 )
                         => sP64 )
                     => q31 ) ) )
         => ~ sP260 )
     => ~ sP309 ) ),
    introduced(definition,[new_symbols(definition,[sP356])]) ).

thf(sP357,plain,
    ( sP357
  <=> ( ~ ( ~ q05
         => sP236 )
     => sP116 ) ),
    introduced(definition,[new_symbols(definition,[sP357])]) ).

thf(sP358,plain,
    ( sP358
  <=> q54 ),
    introduced(definition,[new_symbols(definition,[sP358])]) ).

thf(sP359,plain,
    ( sP359
  <=> ( ~ sP133
     => sP258 ) ),
    introduced(definition,[new_symbols(definition,[sP359])]) ).

thf(sP360,plain,
    ( sP360
  <=> ( ~ p52
     => sP266 ) ),
    introduced(definition,[new_symbols(definition,[sP360])]) ).

thf(sP361,plain,
    ( sP361
  <=> q01 ),
    introduced(definition,[new_symbols(definition,[sP361])]) ).

thf(sP362,plain,
    ( sP362
  <=> ( ~ sP148
     => sP206 ) ),
    introduced(definition,[new_symbols(definition,[sP362])]) ).

thf(sP363,plain,
    ( sP363
  <=> ( ~ ( ~ ( ~ sP165
             => sP53 )
         => q33 )
     => sP252 ) ),
    introduced(definition,[new_symbols(definition,[sP363])]) ).

thf(sP364,plain,
    ( sP364
  <=> ( ~ sP361
     => sP264 ) ),
    introduced(definition,[new_symbols(definition,[sP364])]) ).

thf(sP365,plain,
    ( sP365
  <=> ( ~ ( ~ sP322
         => ~ ( sP250
             => ~ ( ~ ( ~ sP359
                     => sP136 )
                 => q56 ) ) )
     => ~ sP202 ) ),
    introduced(definition,[new_symbols(definition,[sP365])]) ).

thf(sP366,plain,
    ( sP366
  <=> ( ~ sP27
     => ~ sP161 ) ),
    introduced(definition,[new_symbols(definition,[sP366])]) ).

thf(sP367,plain,
    ( sP367
  <=> ( ~ ( ~ ( ~ sP143
             => ~ ( p06
                 => ~ p16 ) )
         => ~ sP285 )
     => ~ ( sP298
         => ~ p20 ) ) ),
    introduced(definition,[new_symbols(definition,[sP367])]) ).

thf(sP368,plain,
    ( sP368
  <=> q33 ),
    introduced(definition,[new_symbols(definition,[sP368])]) ).

thf(sP369,plain,
    ( sP369
  <=> q31 ),
    introduced(definition,[new_symbols(definition,[sP369])]) ).

thf(sP370,plain,
    ( sP370
  <=> ( ~ q51
     => q50 ) ),
    introduced(definition,[new_symbols(definition,[sP370])]) ).

thf(sP371,plain,
    ( sP371
  <=> ( sP176
     => ~ sP352 ) ),
    introduced(definition,[new_symbols(definition,[sP371])]) ).

thf(sP372,plain,
    ( sP372
  <=> ( ~ sP128
     => ~ ( ~ sP214
         => q51 ) ) ),
    introduced(definition,[new_symbols(definition,[sP372])]) ).

thf(sP373,plain,
    ( sP373
  <=> q21 ),
    introduced(definition,[new_symbols(definition,[sP373])]) ).

thf(sP374,plain,
    ( sP374
  <=> ( ~ sP359
     => sP136 ) ),
    introduced(definition,[new_symbols(definition,[sP374])]) ).

thf(sP375,plain,
    ( sP375
  <=> ( q53
     => ~ ( ~ q52
         => sP358 ) ) ),
    introduced(definition,[new_symbols(definition,[sP375])]) ).

thf(sP376,plain,
    ( sP376
  <=> ( ~ sP226
     => ~ ( sP206
         => ~ q35 ) ) ),
    introduced(definition,[new_symbols(definition,[sP376])]) ).

thf(sP377,plain,
    ( sP377
  <=> ( sP192
     => ~ ( ~ ( ~ ( ~ sP324
                 => q61 )
             => sP124 )
         => sP238 ) ) ),
    introduced(definition,[new_symbols(definition,[sP377])]) ).

thf(sP378,plain,
    ( sP378
  <=> ( sP197
     => ~ sP363 ) ),
    introduced(definition,[new_symbols(definition,[sP378])]) ).

thf(sP379,plain,
    ( sP379
  <=> q65 ),
    introduced(definition,[new_symbols(definition,[sP379])]) ).

thf(sP380,plain,
    ( sP380
  <=> ( sP99
     => ~ ( ~ sP183
         => sP321 ) ) ),
    introduced(definition,[new_symbols(definition,[sP380])]) ).

thf(sP381,plain,
    ( sP381
  <=> ( ~ sP183
     => sP321 ) ),
    introduced(definition,[new_symbols(definition,[sP381])]) ).

thf(sP382,plain,
    ( sP382
  <=> ( ~ sP288
     => sP368 ) ),
    introduced(definition,[new_symbols(definition,[sP382])]) ).

thf(sP383,plain,
    ( sP383
  <=> ( ~ sP71
     => sP217 ) ),
    introduced(definition,[new_symbols(definition,[sP383])]) ).

thf(sP384,plain,
    ( sP384
  <=> q41 ),
    introduced(definition,[new_symbols(definition,[sP384])]) ).

thf(sP385,plain,
    ( sP385
  <=> ( ~ sP61
     => ~ ( sP361
         => ~ sP126 ) ) ),
    introduced(definition,[new_symbols(definition,[sP385])]) ).

thf(sP386,plain,
    ( sP386
  <=> ( ~ ( ~ sP354
         => ~ ( ~ ( ~ ( ~ sP197
                     => sP125 )
                 => sP165 )
             => sP53 ) )
     => ~ ( ~ sP77
         => sP165 ) ) ),
    introduced(definition,[new_symbols(definition,[sP386])]) ).

thf(sP387,plain,
    ( sP387
  <=> p66 ),
    introduced(definition,[new_symbols(definition,[sP387])]) ).

thf(sP388,plain,
    ( sP388
  <=> ( ~ sP374
     => q56 ) ),
    introduced(definition,[new_symbols(definition,[sP388])]) ).

thf(sP389,plain,
    ( sP389
  <=> ( sP217
     => ~ sP243 ) ),
    introduced(definition,[new_symbols(definition,[sP389])]) ).

thf(sP390,plain,
    ( sP390
  <=> ( ~ p21
     => sP25 ) ),
    introduced(definition,[new_symbols(definition,[sP390])]) ).

thf(sP391,plain,
    ( sP391
  <=> ( ~ sP196
     => ~ ( p40
         => ~ sP274 ) ) ),
    introduced(definition,[new_symbols(definition,[sP391])]) ).

thf(sP392,plain,
    ( sP392
  <=> ( ~ sP73
     => ~ ( sP120
         => ~ sP383 ) ) ),
    introduced(definition,[new_symbols(definition,[sP392])]) ).

thf(sP393,plain,
    ( sP393
  <=> ( ~ ( ~ sP379
         => sP343 )
     => q74 ) ),
    introduced(definition,[new_symbols(definition,[sP393])]) ).

thf(sP394,plain,
    ( sP394
  <=> ( ~ sP99
     => sP197 ) ),
    introduced(definition,[new_symbols(definition,[sP394])]) ).

thf(sP395,plain,
    ( sP395
  <=> ( ~ ( ~ ( ~ ( ~ sP184
                 => ~ sP371 )
             => ~ sP163 )
         => ~ ( p31
             => ~ sP112 ) )
     => ~ sP172 ) ),
    introduced(definition,[new_symbols(definition,[sP395])]) ).

thf(sP396,plain,
    ( sP396
  <=> ( ~ ( ~ q25
         => sP165 )
     => sP252 ) ),
    introduced(definition,[new_symbols(definition,[sP396])]) ).

thf(sP397,plain,
    ( sP397
  <=> p36 ),
    introduced(definition,[new_symbols(definition,[sP397])]) ).

thf(sP398,plain,
    ( sP398
  <=> ( ~ sP150
     => ~ ( p25
         => ~ ( ~ p15
             => sP275 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP398])]) ).

thf(sP399,plain,
    ( sP399
  <=> ( ( sP219
       => ~ sP194 )
     => ~ ( p02
         => ~ p12 ) ) ),
    introduced(definition,[new_symbols(definition,[sP399])]) ).

thf(sP400,plain,
    ( sP400
  <=> ( ~ sP108
     => ~ ( ~ p07
         => sP103 ) ) ),
    introduced(definition,[new_symbols(definition,[sP400])]) ).

thf(sP401,plain,
    ( sP401
  <=> ( sP387
     => ~ sP304 ) ),
    introduced(definition,[new_symbols(definition,[sP401])]) ).

thf(sP402,plain,
    ( sP402
  <=> ( ~ ( ~ ( ~ sP177
             => sP373 )
         => sP369 )
     => sP239 ) ),
    introduced(definition,[new_symbols(definition,[sP402])]) ).

thf(sP403,plain,
    ( sP403
  <=> p40 ),
    introduced(definition,[new_symbols(definition,[sP403])]) ).

thf(sP404,plain,
    ( sP404
  <=> ( ~ sP369
     => sP64 ) ),
    introduced(definition,[new_symbols(definition,[sP404])]) ).

thf(sP405,plain,
    ( sP405
  <=> p65 ),
    introduced(definition,[new_symbols(definition,[sP405])]) ).

thf(sP406,plain,
    ( sP406
  <=> ( q73
     => ~ sP350 ) ),
    introduced(definition,[new_symbols(definition,[sP406])]) ).

thf(sP407,plain,
    ( sP407
  <=> ( ~ ( ~ sP239
         => sP369 )
     => sP384 ) ),
    introduced(definition,[new_symbols(definition,[sP407])]) ).

thf(sP408,plain,
    ( sP408
  <=> ( p20
     => ~ sP131 ) ),
    introduced(definition,[new_symbols(definition,[sP408])]) ).

thf(sP409,plain,
    ( sP409
  <=> ( sP50
     => ~ ( ~ sP384
         => q43 ) ) ),
    introduced(definition,[new_symbols(definition,[sP409])]) ).

thf(sP410,plain,
    ( sP410
  <=> p25 ),
    introduced(definition,[new_symbols(definition,[sP410])]) ).

thf(sP411,plain,
    ( sP411
  <=> ( ~ sP50
     => sP321 ) ),
    introduced(definition,[new_symbols(definition,[sP411])]) ).

thf(sP412,plain,
    ( sP412
  <=> ( ~ sP215
     => sP258 ) ),
    introduced(definition,[new_symbols(definition,[sP412])]) ).

thf(sP413,plain,
    ( sP413
  <=> ( ~ sP345
     => ~ ( sP369
         => ~ ( ~ sP64
             => sP239 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP413])]) ).

thf(sP414,plain,
    ( sP414
  <=> q74 ),
    introduced(definition,[new_symbols(definition,[sP414])]) ).

thf(sP415,plain,
    ( sP415
  <=> ( ~ sP318
     => ~ sP340 ) ),
    introduced(definition,[new_symbols(definition,[sP415])]) ).

thf(sP416,plain,
    ( sP416
  <=> ( ~ sP410
     => sP38 ) ),
    introduced(definition,[new_symbols(definition,[sP416])]) ).

thf(sP417,plain,
    ( sP417
  <=> p63 ),
    introduced(definition,[new_symbols(definition,[sP417])]) ).

thf(sP418,plain,
    ( sP418
  <=> ( ~ ( ~ sP302
         => ~ ( p06
             => ~ ( ~ sP137
                 => sP313 ) ) )
     => ~ sP289 ) ),
    introduced(definition,[new_symbols(definition,[sP418])]) ).

thf(sP419,plain,
    ( sP419
  <=> ( ~ sP109
     => q61 ) ),
    introduced(definition,[new_symbols(definition,[sP419])]) ).

thf(sP420,plain,
    ( sP420
  <=> ( sP405
     => ~ ( ~ sP393
         => sP178 ) ) ),
    introduced(definition,[new_symbols(definition,[sP420])]) ).

thf(sP421,plain,
    ( sP421
  <=> ( ~ sP165
     => sP53 ) ),
    introduced(definition,[new_symbols(definition,[sP421])]) ).

thf(sP422,plain,
    ( sP422
  <=> ( ~ sP347
     => p44 ) ),
    introduced(definition,[new_symbols(definition,[sP422])]) ).

thf(sP423,plain,
    ( sP423
  <=> ( sP133
     => ~ sP258 ) ),
    introduced(definition,[new_symbols(definition,[sP423])]) ).

thf(sP424,plain,
    ( sP424
  <=> ( ~ sP93
     => ~ sP276 ) ),
    introduced(definition,[new_symbols(definition,[sP424])]) ).

thf(sP425,plain,
    ( sP425
  <=> p13 ),
    introduced(definition,[new_symbols(definition,[sP425])]) ).

thf(sP426,plain,
    ( sP426
  <=> ( ~ sP212
     => ~ ( ~ ( ~ ( ~ p22
                 => p12 )
             => sP177 )
         => sP373 ) ) ),
    introduced(definition,[new_symbols(definition,[sP426])]) ).

thf(sP427,plain,
    ( sP427
  <=> p15 ),
    introduced(definition,[new_symbols(definition,[sP427])]) ).

thf(sP428,plain,
    ( sP428
  <=> ( ~ sP57
     => ~ sP353 ) ),
    introduced(definition,[new_symbols(definition,[sP428])]) ).

thf(sP429,plain,
    ( sP429
  <=> ( ~ sP198
     => ~ sP4 ) ),
    introduced(definition,[new_symbols(definition,[sP429])]) ).

thf(sP430,plain,
    ( sP430
  <=> p17 ),
    introduced(definition,[new_symbols(definition,[sP430])]) ).

thf(sP431,plain,
    ( sP431
  <=> ( ~ sP372
     => ~ ( ~ ( ~ ( ~ sP14
                 => sP217 )
             => q53 )
         => q52 ) ) ),
    introduced(definition,[new_symbols(definition,[sP431])]) ).

thf(sP432,plain,
    ( sP432
  <=> ( ~ ( ~ sP208
         => ~ sP35 )
     => ~ sP54 ) ),
    introduced(definition,[new_symbols(definition,[sP432])]) ).

thf(sP433,plain,
    ( sP433
  <=> ( ~ ( ~ sP365
         => ~ ( sP110
             => ~ sP67 ) )
     => ~ sP16 ) ),
    introduced(definition,[new_symbols(definition,[sP433])]) ).

thf(sP434,plain,
    ( sP434
  <=> ( ~ sP84
     => ~ sP149 ) ),
    introduced(definition,[new_symbols(definition,[sP434])]) ).

thf(sP435,plain,
    ( sP435
  <=> ( ~ sP407
     => sP50 ) ),
    introduced(definition,[new_symbols(definition,[sP435])]) ).

thf(sP436,plain,
    ( sP436
  <=> q52 ),
    introduced(definition,[new_symbols(definition,[sP436])]) ).

thf(sP437,plain,
    ( sP437
  <=> ( ~ ( ~ sP140
         => ~ ( sP425
             => ~ ( ~ sP78
                 => sP71 ) ) )
     => ~ ( sP125
         => ~ ( ~ p04
             => sP197 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP437])]) ).

thf(sP438,plain,
    ( sP438
  <=> p47 ),
    introduced(definition,[new_symbols(definition,[sP438])]) ).

thf(sP439,plain,
    ( sP439
  <=> ( ~ sP397
     => sP304 ) ),
    introduced(definition,[new_symbols(definition,[sP439])]) ).

thf(sP440,plain,
    ( sP440
  <=> ( ~ ( ~ sP373
         => q20 )
     => sP64 ) ),
    introduced(definition,[new_symbols(definition,[sP440])]) ).

thf(sP441,plain,
    ( sP441
  <=> ( sP275
     => ~ sP416 ) ),
    introduced(definition,[new_symbols(definition,[sP441])]) ).

thf(sP442,plain,
    ( sP442
  <=> ( p26
     => ~ sP362 ) ),
    introduced(definition,[new_symbols(definition,[sP442])]) ).

thf(sP443,plain,
    ( sP443
  <=> ( ~ ( ~ sP170
         => ~ ( ~ ( ~ sP26
                 => sP124 )
             => q70 ) )
     => ~ ( ~ ( ~ sP192
             => sP238 )
         => sP124 ) ) ),
    introduced(definition,[new_symbols(definition,[sP443])]) ).

thf(sP444,plain,
    ( sP444
  <=> ( ~ sP140
     => ~ ( sP425
         => ~ ( ~ sP78
             => sP71 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP444])]) ).

thf(sP445,plain,
    ( sP445
  <=> ( ~ sP8
     => ~ sP267 ) ),
    introduced(definition,[new_symbols(definition,[sP445])]) ).

thf(sP446,plain,
    ( sP446
  <=> ( ~ ( ~ sP290
         => ~ ( q20
             => ~ sP373 ) )
     => ~ ( sP373
         => ~ ( ~ q20
             => sP177 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP446])]) ).

thf(sP447,plain,
    ( sP447
  <=> ( ~ sP50
     => sP384 ) ),
    introduced(definition,[new_symbols(definition,[sP447])]) ).

thf(sP448,plain,
    ( sP448
  <=> ( ~ sP432
     => ~ sP209 ) ),
    introduced(definition,[new_symbols(definition,[sP448])]) ).

thf(sP449,plain,
    ( sP449
  <=> ( ~ sP201
     => ~ ( q11
         => ~ ( ~ sP264
             => q12 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP449])]) ).

thf(sP450,plain,
    ( sP450
  <=> ( ~ sP214
     => q51 ) ),
    introduced(definition,[new_symbols(definition,[sP450])]) ).

thf(sP451,plain,
    ( sP451
  <=> ( ~ ( ~ sP253
         => ~ ( ~ ( ~ p04
                 => sP236 )
             => sP18 ) )
     => ~ ( ~ sP237
         => sP236 ) ) ),
    introduced(definition,[new_symbols(definition,[sP451])]) ).

thf(sP452,plain,
    ( sP452
  <=> ( ~ sP60
     => ~ sP96 ) ),
    introduced(definition,[new_symbols(definition,[sP452])]) ).

thf(sP453,plain,
    ( sP453
  <=> ( ~ ( ~ sP177
         => sP373 )
     => sP369 ) ),
    introduced(definition,[new_symbols(definition,[sP453])]) ).

thf(sP454,plain,
    ( sP454
  <=> p52 ),
    introduced(definition,[new_symbols(definition,[sP454])]) ).

thf(sP455,plain,
    ( sP455
  <=> q50 ),
    introduced(definition,[new_symbols(definition,[sP455])]) ).

thf(sP456,plain,
    ( sP456
  <=> ( ~ sP3
     => ~ sP216 ) ),
    introduced(definition,[new_symbols(definition,[sP456])]) ).

thf(sP457,plain,
    ( sP457
  <=> ( ~ sP293
     => ~ ( sP136
         => ~ sP146 ) ) ),
    introduced(definition,[new_symbols(definition,[sP457])]) ).

thf(sP458,plain,
    ( sP458
  <=> ( sP298
     => ~ p20 ) ),
    introduced(definition,[new_symbols(definition,[sP458])]) ).

thf(sP459,plain,
    ( sP459
  <=> ( ~ sP208
     => ~ sP35 ) ),
    introduced(definition,[new_symbols(definition,[sP459])]) ).

thf(sP460,plain,
    ( sP460
  <=> ( ~ sP446
     => ~ ( sP177
         => ~ ( ~ sP373
             => sP53 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP460])]) ).

thf(sP461,plain,
    ( sP461
  <=> ( ~ sP342
     => sP414 ) ),
    introduced(definition,[new_symbols(definition,[sP461])]) ).

thf(sP462,plain,
    ( sP462
  <=> ( ~ sP278
     => q43 ) ),
    introduced(definition,[new_symbols(definition,[sP462])]) ).

thf(sP463,plain,
    ( sP463
  <=> ( ~ ( ~ sP12
         => sP324 )
     => sP238 ) ),
    introduced(definition,[new_symbols(definition,[sP463])]) ).

thf(sP464,plain,
    ( sP464
  <=> ( ~ sP400
     => ~ ( ~ sP298
         => sP264 ) ) ),
    introduced(definition,[new_symbols(definition,[sP464])]) ).

thf(sP465,plain,
    ( sP465
  <=> ( ~ ( ~ ( ~ sP18
             => sP126 )
         => q12 )
     => sP135 ) ),
    introduced(definition,[new_symbols(definition,[sP465])]) ).

thf(sP466,plain,
    ( sP466
  <=> p60 ),
    introduced(definition,[new_symbols(definition,[sP466])]) ).

thf(sP467,plain,
    ( sP467
  <=> ( ~ sP29
     => ~ ( sP116
         => ~ ( ~ sP135
             => sP82 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP467])]) ).

thf(sP468,plain,
    ( sP468
  <=> ( ~ sP393
     => sP178 ) ),
    introduced(definition,[new_symbols(definition,[sP468])]) ).

thf(sP469,plain,
    ( sP469
  <=> ( ~ sP121
     => ~ sP189 ) ),
    introduced(definition,[new_symbols(definition,[sP469])]) ).

thf(sP470,plain,
    ( sP470
  <=> ( ~ sP221
     => ~ ( sP430
         => ~ ( ~ p07
             => sP176 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP470])]) ).

thf(sP471,plain,
    ( sP471
  <=> ( ~ sP419
     => sP52 ) ),
    introduced(definition,[new_symbols(definition,[sP471])]) ).

thf(sP472,plain,
    ( sP472
  <=> ( ~ sP46
     => ~ sP375 ) ),
    introduced(definition,[new_symbols(definition,[sP472])]) ).

thf(sP473,plain,
    ( sP473
  <=> ( ~ ( ~ sP324
         => q61 )
     => sP124 ) ),
    introduced(definition,[new_symbols(definition,[sP473])]) ).

thf(sP474,plain,
    ( sP474
  <=> ( p44
     => ~ sP94 ) ),
    introduced(definition,[new_symbols(definition,[sP474])]) ).

thf(sP475,plain,
    ( sP475
  <=> p26 ),
    introduced(definition,[new_symbols(definition,[sP475])]) ).

thf(sP476,plain,
    ( sP476
  <=> q43 ),
    introduced(definition,[new_symbols(definition,[sP476])]) ).

thf(sP477,plain,
    ( sP477
  <=> ( sP110
     => ~ sP67 ) ),
    introduced(definition,[new_symbols(definition,[sP477])]) ).

thf(sP478,plain,
    ( sP478
  <=> ( ~ ( ~ sP20
         => ~ sP263 )
     => ~ sP19 ) ),
    introduced(definition,[new_symbols(definition,[sP478])]) ).

thf(sP479,plain,
    ( sP479
  <=> ( ~ ( ~ sP476
         => sP50 )
     => sP436 ) ),
    introduced(definition,[new_symbols(definition,[sP479])]) ).

thf(sP480,plain,
    ( sP480
  <=> p44 ),
    introduced(definition,[new_symbols(definition,[sP480])]) ).

thf(sP481,plain,
    ( sP481
  <=> ( ~ sP18
     => q05 ) ),
    introduced(definition,[new_symbols(definition,[sP481])]) ).

thf(sP482,plain,
    ( sP482
  <=> ( ~ sP367
     => ~ ( sP194
         => ~ ( ~ sP219
             => p21 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP482])]) ).

thf(sP483,plain,
    ( sP483
  <=> ( ~ sP62
     => q25 ) ),
    introduced(definition,[new_symbols(definition,[sP483])]) ).

thf(sP484,plain,
    ( sP484
  <=> ( sP103
     => ~ q05 ) ),
    introduced(definition,[new_symbols(definition,[sP484])]) ).

thf(sP485,plain,
    ( sP485
  <=> ( p16
     => ~ ( ~ ( ~ ( ~ sP313
                 => sP82 )
             => q25 )
         => sP62 ) ) ),
    introduced(definition,[new_symbols(definition,[sP485])]) ).

thf(sP486,plain,
    ( sP486
  <=> ( sP120
     => ~ sP383 ) ),
    introduced(definition,[new_symbols(definition,[sP486])]) ).

thf(sP487,plain,
    ( sP487
  <=> ( ~ sP2
     => ~ ( ~ sP159
         => sP324 ) ) ),
    introduced(definition,[new_symbols(definition,[sP487])]) ).

thf(sP488,plain,
    ( sP488
  <=> p22 ),
    introduced(definition,[new_symbols(definition,[sP488])]) ).

thf(sP489,plain,
    ( sP489
  <=> ( ~ ( ~ sP176
         => sP430 )
     => sP62 ) ),
    introduced(definition,[new_symbols(definition,[sP489])]) ).

thf(sP490,plain,
    ( sP490
  <=> ( ~ ( ~ sP143
         => ~ ( p06
             => ~ p16 ) )
     => ~ sP285 ) ),
    introduced(definition,[new_symbols(definition,[sP490])]) ).

thf(sP491,plain,
    ( sP491
  <=> ( ~ sP418
     => ~ sP144 ) ),
    introduced(definition,[new_symbols(definition,[sP491])]) ).

thf(sP492,plain,
    ( sP492
  <=> q05 ),
    introduced(definition,[new_symbols(definition,[sP492])]) ).

thf(sP493,plain,
    ( sP493
  <=> ( ~ sP23
     => sP135 ) ),
    introduced(definition,[new_symbols(definition,[sP493])]) ).

thf(sP494,plain,
    ( sP494
  <=> ( ~ sP110
     => sP403 ) ),
    introduced(definition,[new_symbols(definition,[sP494])]) ).

thf(sP495,plain,
    ( sP495
  <=> ( ~ sP120
     => sP14 ) ),
    introduced(definition,[new_symbols(definition,[sP495])]) ).

thf(sP496,plain,
    ( sP496
  <=> ( ~ ( ~ sP116
         => sP135 )
     => sP53 ) ),
    introduced(definition,[new_symbols(definition,[sP496])]) ).

thf(sP497,plain,
    ( sP497
  <=> ( ~ ( ~ ( ~ q56
             => sP136 )
         => sP379 )
     => sP211 ) ),
    introduced(definition,[new_symbols(definition,[sP497])]) ).

thf(sP498,plain,
    ( sP498
  <=> ( ~ sP175
     => ~ ( ~ ( ~ p20
             => sP298 )
         => q20 ) ) ),
    introduced(definition,[new_symbols(definition,[sP498])]) ).

thf(sP499,plain,
    ( sP499
  <=> ( ~ sP317
     => sP324 ) ),
    introduced(definition,[new_symbols(definition,[sP499])]) ).

thf(sP500,plain,
    ( sP500
  <=> p57 ),
    introduced(definition,[new_symbols(definition,[sP500])]) ).

thf(sP501,plain,
    ( sP501
  <=> ( ~ sP242
     => ~ sP335 ) ),
    introduced(definition,[new_symbols(definition,[sP501])]) ).

thf(sP502,plain,
    ( sP502
  <=> q25 ),
    introduced(definition,[new_symbols(definition,[sP502])]) ).

thf(sP503,plain,
    ( sP503
  <=> ( ~ sP158
     => ~ sP281 ) ),
    introduced(definition,[new_symbols(definition,[sP503])]) ).

thf(sP504,plain,
    ( sP504
  <=> ( ~ q35
     => sP252 ) ),
    introduced(definition,[new_symbols(definition,[sP504])]) ).

thf(sP505,plain,
    ( sP505
  <=> ( sP361
     => ~ sP126 ) ),
    introduced(definition,[new_symbols(definition,[sP505])]) ).

thf(sP506,plain,
    ( sP506
  <=> q40 ),
    introduced(definition,[new_symbols(definition,[sP506])]) ).

thf(sP507,plain,
    ( sP507
  <=> ( ~ sP159
     => sP324 ) ),
    introduced(definition,[new_symbols(definition,[sP507])]) ).

thf(sP508,plain,
    ( sP508
  <=> ( ~ ( ~ sP313
         => sP82 )
     => sP502 ) ),
    introduced(definition,[new_symbols(definition,[sP508])]) ).

thf(sP509,plain,
    ( sP509
  <=> ( ~ sP269
     => ~ sP10 ) ),
    introduced(definition,[new_symbols(definition,[sP509])]) ).

thf(sP510,plain,
    ( sP510
  <=> ( ~ ( ~ ( ~ sP136
             => sP358 )
         => sP343 )
     => sP379 ) ),
    introduced(definition,[new_symbols(definition,[sP510])]) ).

thf(sP511,plain,
    ( sP511
  <=> q56 ),
    introduced(definition,[new_symbols(definition,[sP511])]) ).

thf(sP512,plain,
    ( sP512
  <=> ( q61
     => ~ sP21 ) ),
    introduced(definition,[new_symbols(definition,[sP512])]) ).

thf(sP513,plain,
    ( sP513
  <=> ( ~ sP421
     => sP368 ) ),
    introduced(definition,[new_symbols(definition,[sP513])]) ).

thf(sP514,plain,
    ( sP514
  <=> p04 ),
    introduced(definition,[new_symbols(definition,[sP514])]) ).

thf(sP515,plain,
    ( sP515
  <=> ( ~ p07
     => sP103 ) ),
    introduced(definition,[new_symbols(definition,[sP515])]) ).

thf(sP516,plain,
    ( sP516
  <=> ( ~ sP237
     => sP236 ) ),
    introduced(definition,[new_symbols(definition,[sP516])]) ).

thf(sP517,plain,
    ( sP517
  <=> ( sP454
     => ~ sP499 ) ),
    introduced(definition,[new_symbols(definition,[sP517])]) ).

thf(sP518,plain,
    ( sP518
  <=> ( ~ ( ~ sP206
         => q35 )
     => sP258 ) ),
    introduced(definition,[new_symbols(definition,[sP518])]) ).

thf(sP519,plain,
    ( sP519
  <=> p32 ),
    introduced(definition,[new_symbols(definition,[sP519])]) ).

thf(sP520,plain,
    ( sP520
  <=> ( ~ sP192
     => sP238 ) ),
    introduced(definition,[new_symbols(definition,[sP520])]) ).

thf(sP521,plain,
    ( sP521
  <=> ( ~ sP391
     => ~ sP88 ) ),
    introduced(definition,[new_symbols(definition,[sP521])]) ).

thf(sP522,plain,
    ( sP522
  <=> p31 ),
    introduced(definition,[new_symbols(definition,[sP522])]) ).

thf(sP523,plain,
    ( sP523
  <=> ( ~ sP224
     => ~ sP420 ) ),
    introduced(definition,[new_symbols(definition,[sP523])]) ).

thf(sP524,plain,
    ( sP524
  <=> ( ~ sP48
     => ~ sP377 ) ),
    introduced(definition,[new_symbols(definition,[sP524])]) ).

thf(sP525,plain,
    ( sP525
  <=> ( sP291
     => ~ sP11 ) ),
    introduced(definition,[new_symbols(definition,[sP525])]) ).

thf(sP526,plain,
    ( sP526
  <=> ( p05
     => ~ sP70 ) ),
    introduced(definition,[new_symbols(definition,[sP526])]) ).

thf(sP527,plain,
    ( sP527
  <=> ( ~ sP64
     => sP506 ) ),
    introduced(definition,[new_symbols(definition,[sP527])]) ).

thf(sP528,plain,
    ( sP528
  <=> ( ~ sP143
     => ~ ( p06
         => ~ p16 ) ) ),
    introduced(definition,[new_symbols(definition,[sP528])]) ).

thf(sP529,plain,
    ( sP529
  <=> ( sP136
     => ~ sP146 ) ),
    introduced(definition,[new_symbols(definition,[sP529])]) ).

thf(sP530,plain,
    ( sP530
  <=> p20 ),
    introduced(definition,[new_symbols(definition,[sP530])]) ).

thf(sP531,plain,
    ( sP531
  <=> ( ~ sP365
     => ~ sP477 ) ),
    introduced(definition,[new_symbols(definition,[sP531])]) ).

thf(sP532,plain,
    ( sP532
  <=> ( sP397
     => ~ sP331 ) ),
    introduced(definition,[new_symbols(definition,[sP532])]) ).

thf(sP533,plain,
    ( sP533
  <=> ( ~ sP176
     => sP430 ) ),
    introduced(definition,[new_symbols(definition,[sP533])]) ).

thf(sP534,plain,
    ( sP534
  <=> q70 ),
    introduced(definition,[new_symbols(definition,[sP534])]) ).

thf(sP535,plain,
    ( sP535
  <=> ( ~ sP275
     => p55 ) ),
    introduced(definition,[new_symbols(definition,[sP535])]) ).

thf(sP536,plain,
    ( sP536
  <=> ( ~ sP38
     => sP275 ) ),
    introduced(definition,[new_symbols(definition,[sP536])]) ).

thf(sP537,plain,
    ( sP537
  <=> ( ~ sP118
     => ~ sP191 ) ),
    introduced(definition,[new_symbols(definition,[sP537])]) ).

thf(sP538,plain,
    ( sP538
  <=> ( ~ sP473
     => sP238 ) ),
    introduced(definition,[new_symbols(definition,[sP538])]) ).

thf(sP539,plain,
    ( sP539
  <=> ( ~ sP271
     => sP53 ) ),
    introduced(definition,[new_symbols(definition,[sP539])]) ).

thf(sP540,plain,
    ( sP540
  <=> ( ~ sP508
     => sP62 ) ),
    introduced(definition,[new_symbols(definition,[sP540])]) ).

thf(sP541,plain,
    ( sP541
  <=> ( ~ ( ~ sP537
         => ~ sP408 )
     => ~ ( p21
         => ~ ( ~ sP440
             => sP369 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP541])]) ).

thf(sP542,plain,
    ( sP542
  <=> ( sP236
     => ~ sP481 ) ),
    introduced(definition,[new_symbols(definition,[sP542])]) ).

thf(sP543,plain,
    ( sP543
  <=> ( ~ sP246
     => sP82 ) ),
    introduced(definition,[new_symbols(definition,[sP543])]) ).

thf(sP544,plain,
    ( sP544
  <=> ( ~ sP436
     => sP358 ) ),
    introduced(definition,[new_symbols(definition,[sP544])]) ).

thf(sP545,plain,
    ( sP545
  <=> ( ~ ( ~ sP184
         => ~ sP371 )
     => ~ sP163 ) ),
    introduced(definition,[new_symbols(definition,[sP545])]) ).

thf(sP546,plain,
    ( sP546
  <=> ( ~ ( ~ q61
         => sP52 )
     => sP534 ) ),
    introduced(definition,[new_symbols(definition,[sP546])]) ).

thf(sP547,plain,
    ( sP547
  <=> ( ~ sP136
     => sP358 ) ),
    introduced(definition,[new_symbols(definition,[sP547])]) ).

thf(sP548,plain,
    ( sP548
  <=> ( ~ sP330
     => q51 ) ),
    introduced(definition,[new_symbols(definition,[sP548])]) ).

thf(sP549,plain,
    ( sP549
  <=> p51 ),
    introduced(definition,[new_symbols(definition,[sP549])]) ).

thf(sP550,plain,
    ( sP550
  <=> ( sP466
     => ~ sP231 ) ),
    introduced(definition,[new_symbols(definition,[sP550])]) ).

thf(sP551,plain,
    ( sP551
  <=> ( ~ sP521
     => ~ sP326 ) ),
    introduced(definition,[new_symbols(definition,[sP551])]) ).

thf(sP552,plain,
    ( sP552
  <=> ( ~ sP545
     => ~ ( sP522
         => ~ sP112 ) ) ),
    introduced(definition,[new_symbols(definition,[sP552])]) ).

thf(sP553,plain,
    ( sP553
  <=> ( ~ sP20
     => ~ sP263 ) ),
    introduced(definition,[new_symbols(definition,[sP553])]) ).

thf(sP554,plain,
    ( sP554
  <=> ( ~ sP137
     => sP313 ) ),
    introduced(definition,[new_symbols(definition,[sP554])]) ).

thf(sP555,plain,
    ( sP555
  <=> ( ~ sP520
     => sP124 ) ),
    introduced(definition,[new_symbols(definition,[sP555])]) ).

thf(sP556,plain,
    ( sP556
  <=> ( sP475
     => ~ sP301 ) ),
    introduced(definition,[new_symbols(definition,[sP556])]) ).

thf(sP557,plain,
    ( sP557
  <=> p21 ),
    introduced(definition,[new_symbols(definition,[sP557])]) ).

thf(sP558,plain,
    ( sP558
  <=> ( sP403
     => ~ sP274 ) ),
    introduced(definition,[new_symbols(definition,[sP558])]) ).

thf(sP559,plain,
    ( sP559
  <=> ( ~ sP440
     => sP369 ) ),
    introduced(definition,[new_symbols(definition,[sP559])]) ).

thf(sP560,plain,
    ( sP560
  <=> ( ~ sP103
     => sP313 ) ),
    introduced(definition,[new_symbols(definition,[sP560])]) ).

thf(sP561,plain,
    ( sP561
  <=> ( ~ sP116
     => sP313 ) ),
    introduced(definition,[new_symbols(definition,[sP561])]) ).

thf(sP562,plain,
    ( sP562
  <=> ( ~ sP478
     => ~ sP261 ) ),
    introduced(definition,[new_symbols(definition,[sP562])]) ).

thf(sP563,plain,
    ( sP563
  <=> ( ~ sP298
     => sP264 ) ),
    introduced(definition,[new_symbols(definition,[sP563])]) ).

thf(sP564,plain,
    ( sP564
  <=> ( sP177
     => ~ ( ~ sP373
         => sP53 ) ) ),
    introduced(definition,[new_symbols(definition,[sP564])]) ).

thf(sP565,plain,
    ( sP565
  <=> ( ~ sP324
     => q61 ) ),
    introduced(definition,[new_symbols(definition,[sP565])]) ).

thf(sP566,plain,
    ( sP566
  <=> p06 ),
    introduced(definition,[new_symbols(definition,[sP566])]) ).

thf(sP567,plain,
    ( sP567
  <=> ( ~ sP322
     => ~ ( sP250
         => ~ sP388 ) ) ),
    introduced(definition,[new_symbols(definition,[sP567])]) ).

thf(sP568,plain,
    ( sP568
  <=> ( ~ sP262
     => q20 ) ),
    introduced(definition,[new_symbols(definition,[sP568])]) ).

thf(sP569,plain,
    ( sP569
  <=> ( ~ sP119
     => ~ ( ~ ( ~ ( ~ sP427
                 => p05 )
             => sP82 )
         => sP116 ) ) ),
    introduced(definition,[new_symbols(definition,[sP569])]) ).

thf(sP570,plain,
    ( sP570
  <=> ( ~ sP184
     => ~ sP371 ) ),
    introduced(definition,[new_symbols(definition,[sP570])]) ).

thf(sP571,plain,
    ( sP571
  <=> ( ~ sP519
     => sP488 ) ),
    introduced(definition,[new_symbols(definition,[sP571])]) ).

thf(sP572,plain,
    ( sP572
  <=> ( ~ ( ~ sP207
         => sP511 )
     => sP136 ) ),
    introduced(definition,[new_symbols(definition,[sP572])]) ).

thf(sP573,plain,
    ( sP573
  <=> p55 ),
    introduced(definition,[new_symbols(definition,[sP573])]) ).

thf(sP574,plain,
    ( sP574
  <=> ( ~ ( ~ sP168
         => ~ ( sP454
             => ~ ( ~ sP266
                 => sP192 ) ) )
     => ~ ( sP14
         => ~ ( ~ sP217
             => sP417 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP574])]) ).

thf(sP575,plain,
    ( sP575
  <=> ( ~ sP524
     => ~ sP351 ) ),
    introduced(definition,[new_symbols(definition,[sP575])]) ).

thf(sP576,plain,
    ( sP576
  <=> ( ~ sP541
     => ~ sP260 ) ),
    introduced(definition,[new_symbols(definition,[sP576])]) ).

thf(sP577,plain,
    ( sP577
  <=> ( sP266
     => ~ ( ~ sP519
         => sP454 ) ) ),
    introduced(definition,[new_symbols(definition,[sP577])]) ).

thf(sP578,plain,
    ( sP578
  <=> ( ~ sP428
     => ~ ( ~ ( ~ ( ~ sP266
                 => sP519 )
             => sP50 )
         => sP384 ) ) ),
    introduced(definition,[new_symbols(definition,[sP578])]) ).

thf(sP579,plain,
    ( sP579
  <=> ( ~ sP376
     => ~ ( sP506
         => ~ sP384 ) ) ),
    introduced(definition,[new_symbols(definition,[sP579])]) ).

thf(sP580,plain,
    ( sP580
  <=> ( ~ sP467
     => ~ sP111 ) ),
    introduced(definition,[new_symbols(definition,[sP580])]) ).

thf(sP581,plain,
    ( sP581
  <=> q51 ),
    introduced(definition,[new_symbols(definition,[sP581])]) ).

thf(sP582,plain,
    ( sP582
  <=> ( ~ sP523
     => ~ ( sP387
         => ~ ( ~ ( ~ sP211
                 => sP379 )
             => sP178 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP582])]) ).

thf(sP583,plain,
    ( sP583
  <=> ( ~ sP410
     => sP427 ) ),
    introduced(definition,[new_symbols(definition,[sP583])]) ).

thf(sP584,plain,
    ( sP584
  <=> ( ~ sP207
     => sP511 ) ),
    introduced(definition,[new_symbols(definition,[sP584])]) ).

thf(sP585,plain,
    ( sP585
  <=> q35 ),
    introduced(definition,[new_symbols(definition,[sP585])]) ).

thf(sP586,plain,
    ( sP586
  <=> ( ~ sP384
     => sP476 ) ),
    introduced(definition,[new_symbols(definition,[sP586])]) ).

thf(sP587,plain,
    ( sP587
  <=> ( ~ sP457
     => ~ ( sP511
         => ~ sP136 ) ) ),
    introduced(definition,[new_symbols(definition,[sP587])]) ).

thf(sP588,plain,
    ( sP588
  <=> ( ~ sP170
     => ~ ( ~ ( ~ sP26
             => sP124 )
         => sP534 ) ) ),
    introduced(definition,[new_symbols(definition,[sP588])]) ).

thf(sP589,plain,
    ( sP589
  <=> ( ~ sP387
     => sP178 ) ),
    introduced(definition,[new_symbols(definition,[sP589])]) ).

thf(sP590,plain,
    ( sP590
  <=> ( ~ sP349
     => q73 ) ),
    introduced(definition,[new_symbols(definition,[sP590])]) ).

thf(sP591,plain,
    ( sP591
  <=> ( ~ sP354
     => ~ ( ~ ( ~ ( ~ sP197
                 => sP125 )
             => sP165 )
         => sP53 ) ) ),
    introduced(definition,[new_symbols(definition,[sP591])]) ).

thf(sP592,plain,
    ( sP592
  <=> ( sP387
     => ~ ( ~ ( ~ sP211
             => sP379 )
         => sP178 ) ) ),
    introduced(definition,[new_symbols(definition,[sP592])]) ).

thf(sP593,plain,
    ( sP593
  <=> q53 ),
    introduced(definition,[new_symbols(definition,[sP593])]) ).

thf(sP594,plain,
    ( sP594
  <=> ( ~ sP311
     => ~ ( sP71
         => ~ ( ~ sP425
             => sP120 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP594])]) ).

thf(sP595,plain,
    ( sP595
  <=> ( ~ sP220
     => ~ ( ~ ( ~ ( ~ sP522
                 => sP557 )
             => sP369 )
         => sP64 ) ) ),
    introduced(definition,[new_symbols(definition,[sP595])]) ).

thf(sP596,plain,
    ( sP596
  <=> ( ~ sP341
     => ~ ( sP110
         => ~ ( ~ sP403
             => sP466 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP596])]) ).

thf(sP597,plain,
    ( sP597
  <=> p16 ),
    introduced(definition,[new_symbols(definition,[sP597])]) ).

thf(sP598,plain,
    ( sP598
  <=> ( ~ sP547
     => sP343 ) ),
    introduced(definition,[new_symbols(definition,[sP598])]) ).

thf(sP599,plain,
    ( sP599
  <=> ( ~ sP186
     => ~ sP474 ) ),
    introduced(definition,[new_symbols(definition,[sP599])]) ).

thf(sP600,plain,
    ( sP600
  <=> ( ~ sP168
     => ~ ( sP454
         => ~ ( ~ sP266
             => sP192 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP600])]) ).

thf(sP601,plain,
    ( sP601
  <=> q61 ),
    introduced(definition,[new_symbols(definition,[sP601])]) ).

thf(sP602,plain,
    ( sP602
  <=> ( ~ sP89
     => ~ sP484 ) ),
    introduced(definition,[new_symbols(definition,[sP602])]) ).

thf(sP603,plain,
    ( sP603
  <=> p05 ),
    introduced(definition,[new_symbols(definition,[sP603])]) ).

thf(sP604,plain,
    ( sP604
  <=> ( sP566
     => ~ sP554 ) ),
    introduced(definition,[new_symbols(definition,[sP604])]) ).

thf(sP605,plain,
    ( sP605
  <=> ( ~ sP78
     => sP18 ) ),
    introduced(definition,[new_symbols(definition,[sP605])]) ).

thf(sP606,plain,
    ( sP606
  <=> ( ~ ( ~ sP211
         => sP379 )
     => sP178 ) ),
    introduced(definition,[new_symbols(definition,[sP606])]) ).

thf(sP607,plain,
    ( sP607
  <=> ( ~ sP77
     => sP165 ) ),
    introduced(definition,[new_symbols(definition,[sP607])]) ).

thf(sP608,plain,
    ( sP608
  <=> ( ~ sP386
     => ~ ( ~ ( ~ ( ~ sP475
                 => sP597 )
             => sP62 )
         => sP502 ) ) ),
    introduced(definition,[new_symbols(definition,[sP608])]) ).

thf(sP609,plain,
    ( sP609
  <=> ( ~ sP537
     => ~ sP408 ) ),
    introduced(definition,[new_symbols(definition,[sP609])]) ).

thf(sP610,plain,
    ( sP610
  <=> ( ~ sP460
     => ~ ( sP53
         => ~ ( ~ sP177
             => sP165 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP610])]) ).

thf(sP611,plain,
    ( sP611
  <=> ( sP219
     => ~ sP194 ) ),
    introduced(definition,[new_symbols(definition,[sP611])]) ).

thf(sP612,plain,
    ( sP612
  <=> ( ~ sP280
     => ~ sP241 ) ),
    introduced(definition,[new_symbols(definition,[sP612])]) ).

thf(sP613,plain,
    ( sP613
  <=> ( ~ sP302
     => ~ sP604 ) ),
    introduced(definition,[new_symbols(definition,[sP613])]) ).

thf(sP614,plain,
    ( sP614
  <=> ( ~ sP253
     => ~ ( ~ ( ~ sP514
             => sP236 )
         => sP18 ) ) ),
    introduced(definition,[new_symbols(definition,[sP614])]) ).

thf(sP615,plain,
    ( sP615
  <=> ( ~ sP49
     => ~ sP13 ) ),
    introduced(definition,[new_symbols(definition,[sP615])]) ).

thf(sP616,plain,
    ( sP616
  <=> q73 ),
    introduced(definition,[new_symbols(definition,[sP616])]) ).

thf(sP617,plain,
    ( sP617
  <=> ( ~ sP145
     => ~ ( p02
         => ~ ( ~ ( ~ ( ~ sP126
                     => sP361 )
                 => q11 )
             => q12 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP617])]) ).

thf(sP618,plain,
    ( sP618
  <=> ( ~ sP233
     => ~ sP225 ) ),
    introduced(definition,[new_symbols(definition,[sP618])]) ).

thf(sP619,plain,
    ( sP619
  <=> ( ~ sP373
     => sP53 ) ),
    introduced(definition,[new_symbols(definition,[sP619])]) ).

thf(sP620,plain,
    ( sP620
  <=> ( ~ ( ~ sP511
         => sP136 )
     => sP379 ) ),
    introduced(definition,[new_symbols(definition,[sP620])]) ).

thf(sP621,plain,
    ( sP621
  <=> ( ~ sP177
     => sP373 ) ),
    introduced(definition,[new_symbols(definition,[sP621])]) ).

thf(sP622,plain,
    ( sP622
  <=> ( ~ sP519
     => sP454 ) ),
    introduced(definition,[new_symbols(definition,[sP622])]) ).

thf(sP623,plain,
    ( sP623
  <=> ( ~ sP511
     => sP211 ) ),
    introduced(definition,[new_symbols(definition,[sP623])]) ).

thf(sP624,plain,
    ( sP624
  <=> ( ~ sP370
     => sP52 ) ),
    introduced(definition,[new_symbols(definition,[sP624])]) ).

thf(sP625,plain,
    ( sP625
  <=> ( ~ sP45
     => ~ ( sP124
         => ~ ( ~ sP534
             => sP238 ) ) ) ),
    introduced(definition,[new_symbols(definition,[sP625])]) ).

thf(sP626,plain,
    ( sP626
  <=> p07 ),
    introduced(definition,[new_symbols(definition,[sP626])]) ).

thf(sP627,plain,
    ( sP627
  <=> ( sP522
     => ~ sP112 ) ),
    introduced(definition,[new_symbols(definition,[sP627])]) ).

thf(sP628,plain,
    ( sP628
  <=> ( ~ sP290
     => ~ ( q20
         => ~ sP373 ) ) ),
    introduced(definition,[new_symbols(definition,[sP628])]) ).

thf(sP629,plain,
    ( sP629
  <=> ( sP250
     => ~ sP388 ) ),
    introduced(definition,[new_symbols(definition,[sP629])]) ).

thf(sP630,plain,
    ( sP630
  <=> ( ~ sP211
     => sP379 ) ),
    introduced(definition,[new_symbols(definition,[sP630])]) ).

thf(sP631,plain,
    ( sP631
  <=> q20 ),
    introduced(definition,[new_symbols(definition,[sP631])]) ).

thf(sP632,plain,
    ( sP632
  <=> ( ~ sP264
     => sP631 ) ),
    introduced(definition,[new_symbols(definition,[sP632])]) ).

thf(sP633,plain,
    ( sP633
  <=> ( sP557
     => ~ sP559 ) ),
    introduced(definition,[new_symbols(definition,[sP633])]) ).

thf(cTHM602A,conjecture,
    sP277 ).

thf(h0,negated_conjecture,
    ~ sP277,
    inference(assume_negation,[status(cth)],[cTHM602A]) ).

thf(1,plain,
    ( ~ sP294
    | sP125
    | sP514 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(2,plain,
    ( ~ sP141
    | sP597
    | sP566 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(3,plain,
    ( ~ sP15
    | sP557
    | sP194 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(4,plain,
    ( ~ sP106
    | sP71
    | sP425 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(5,plain,
    ( ~ sP583
    | sP410
    | sP427 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(6,plain,
    ( ~ sP571
    | sP519
    | sP488 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(7,plain,
    ( ~ sP394
    | sP99
    | sP197 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(8,plain,
    ( ~ sP151
    | sP397
    | sP475 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(9,plain,
    ( ~ sP222
    | sP25
    | sP522 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(10,plain,
    ( ~ sP278
    | sP217
    | sP120 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(11,plain,
    ( ~ sP536
    | sP38
    | sP275 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(12,plain,
    ( ~ sP360
    | sP454
    | sP266 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(13,plain,
    ( ~ sP422
    | sP347
    | sP480 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(14,plain,
    ( ~ sP207
    | sP304
    | sP250 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(15,plain,
    ( ~ sP109
    | sP26
    | sP549 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(16,plain,
    ( ~ sP332
    | sP417
    | sP14 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(17,plain,
    ( ~ sP305
    | sP405
    | sP573 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(18,plain,
    ( sP122
    | ~ sP125 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(19,plain,
    ( sP301
    | ~ sP597 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(20,plain,
    ( sP265
    | ~ sP403 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(21,plain,
    ( sP390
    | ~ sP557 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(22,plain,
    ( sP383
    | ~ sP71 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(23,plain,
    ( sP416
    | ~ sP410 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(24,plain,
    ( sP115
    | ~ sP176 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(25,plain,
    ( sP79
    | ~ sP549 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(26,plain,
    ( sP622
    | ~ sP519 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(27,plain,
    ( sP495
    | ~ sP14 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(28,plain,
    ( sP91
    | ~ sP99 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(29,plain,
    ( sP535
    | ~ sP573 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(30,plain,
    ( sP439
    | ~ sP397 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(31,plain,
    ( sP481
    | ~ sP18 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(32,plain,
    ( sP561
    | ~ sP116 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(33,plain,
    ( sP619
    | ~ sP373 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(34,plain,
    ( sP283
    | ~ sP53 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(35,plain,
    ( sP319
    | ~ sP239 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(36,plain,
    ( sP56
    | ~ sP252 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(37,plain,
    ( sP586
    | ~ sP384 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(38,plain,
    ( sP411
    | ~ sP321 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(39,plain,
    ( sP544
    | ~ sP436 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(40,plain,
    ( sP146
    | ~ sP358 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(41,plain,
    ( sP21
    | ~ sP324 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(42,plain,
    ( sP307
    | ~ sP12 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(43,plain,
    ( sP350
    | ~ sP238 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(44,plain,
    ( sP364
    | ~ sP264 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(45,plain,
    ( sP314
    | ~ sP364 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(46,plain,
    ( sP465
    | ~ sP135 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(47,plain,
    ( sP23
    | ~ sP18 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(48,plain,
    ( sP23
    | ~ sP236 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(49,plain,
    ( sP493
    | ~ sP23 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(50,plain,
    ( sP43
    | ~ sP493 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(51,plain,
    ( sP357
    | ~ sP116 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(52,plain,
    ( sP70
    | ~ sP82 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(53,plain,
    ( sP70
    | ~ sP357 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(54,plain,
    ( sP249
    | ~ sP492 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(55,plain,
    ( sP249
    | ~ sP103 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(56,plain,
    ( sP137
    | ~ sP249 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(57,plain,
    ( sP554
    | ~ sP137 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(58,plain,
    ( sP560
    | ~ sP313 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(59,plain,
    ( sP632
    | ~ sP631 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(60,plain,
    ( sP129
    | ~ sP264 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(61,plain,
    ( sP114
    | ~ sP129 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(62,plain,
    ( sP193
    | ~ sP114 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(63,plain,
    ( sP132
    | ~ sP135 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(64,plain,
    ( sP271
    | ~ sP132 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(65,plain,
    ( sP539
    | ~ sP271 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(66,plain,
    ( sP496
    | ~ sP53 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(67,plain,
    ( sP256
    | ~ sP165 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(68,plain,
    ( sP256
    | ~ sP496 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(69,plain,
    ( sP139
    | ~ sP116 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(70,plain,
    ( sP139
    | ~ sP82 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(71,plain,
    ( sP113
    | ~ sP139 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(72,plain,
    ( sP36
    | ~ sP113 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(73,plain,
    ( sP508
    | ~ sP502 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(74,plain,
    ( sP540
    | ~ sP62 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(75,plain,
    ( sP540
    | ~ sP508 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(76,plain,
    ( sP303
    | ~ sP313 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(77,plain,
    ( sP131
    | ~ sP631 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(78,plain,
    ( sP440
    | ~ sP64 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(79,plain,
    ( sP559
    | ~ sP369 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(80,plain,
    ( sP559
    | ~ sP440 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(81,plain,
    ( sP621
    | ~ sP373 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(82,plain,
    ( sP621
    | ~ sP177 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(83,plain,
    ( sP453
    | ~ sP621 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(84,plain,
    ( sP402
    | ~ sP453 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(85,plain,
    ( sP288
    | ~ sP239 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(86,plain,
    ( sP382
    | ~ sP368 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(87,plain,
    ( sP382
    | ~ sP288 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(88,plain,
    ( sP421
    | ~ sP53 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(89,plain,
    ( sP421
    | ~ sP165 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(90,plain,
    ( sP513
    | ~ sP421 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(91,plain,
    ( sP363
    | ~ sP513 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(92,plain,
    ( sP396
    | ~ sP252 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(93,plain,
    ( sP164
    | ~ sP585 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(94,plain,
    ( sP164
    | ~ sP396 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(95,plain,
    ( sP483
    | ~ sP502 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(96,plain,
    ( sP483
    | ~ sP62 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(97,plain,
    ( sP148
    | ~ sP483 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(98,plain,
    ( sP362
    | ~ sP148 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(99,plain,
    ( sP352
    | ~ sP206 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(100,plain,
    ( sP527
    | ~ sP506 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(101,plain,
    ( sP404
    | ~ sP64 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(102,plain,
    ( sP404
    | ~ sP369 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(103,plain,
    ( sP325
    | ~ sP404 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(104,plain,
    ( sP112
    | ~ sP325 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(105,plain,
    ( sP407
    | ~ sP384 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(106,plain,
    ( sP435
    | ~ sP50 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(107,plain,
    ( sP435
    | ~ sP407 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(108,plain,
    ( sP41
    | ~ sP239 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(109,plain,
    ( sP41
    | ~ sP368 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(110,plain,
    ( sP180
    | ~ sP41 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(111,plain,
    ( sP169
    | ~ sP180 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(112,plain,
    ( sP183
    | ~ sP476 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(113,plain,
    ( sP381
    | ~ sP321 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(114,plain,
    ( sP381
    | ~ sP183 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(115,plain,
    ( sP504
    | ~ sP252 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(116,plain,
    ( sP504
    | ~ sP585 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(117,plain,
    ( sP215
    | ~ sP504 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(118,plain,
    ( sP412
    | ~ sP215 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(119,plain,
    ( sP518
    | ~ sP258 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(120,plain,
    ( sP331
    | ~ sP133 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(121,plain,
    ( sP331
    | ~ sP518 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(122,plain,
    ( sP11
    | ~ sP206 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(123,plain,
    ( sP274
    | ~ sP506 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(124,plain,
    ( sP330
    | ~ sP455 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(125,plain,
    ( sP548
    | ~ sP581 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(126,plain,
    ( sP548
    | ~ sP330 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(127,plain,
    ( sP447
    | ~ sP384 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(128,plain,
    ( sP447
    | ~ sP50 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(129,plain,
    ( sP75
    | ~ sP447 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(130,plain,
    ( sP339
    | ~ sP75 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(131,plain,
    ( sP479
    | ~ sP436 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(132,plain,
    ( sP243
    | ~ sP593 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(133,plain,
    ( sP243
    | ~ sP479 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(134,plain,
    ( sP323
    | ~ sP476 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(135,plain,
    ( sP323
    | ~ sP321 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(136,plain,
    ( sP204
    | ~ sP323 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(137,plain,
    ( sP94
    | ~ sP204 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(138,plain,
    ( sP279
    | ~ sP358 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(139,plain,
    ( sP101
    | ~ sP136 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(140,plain,
    ( sP101
    | ~ sP279 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(141,plain,
    ( sP359
    | ~ sP258 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(142,plain,
    ( sP359
    | ~ sP133 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(143,plain,
    ( sP374
    | ~ sP359 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(144,plain,
    ( sP388
    | ~ sP374 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(145,plain,
    ( sP90
    | ~ sP511 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(146,plain,
    ( sP67
    | ~ sP52 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(147,plain,
    ( sP370
    | ~ sP455 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(148,plain,
    ( sP370
    | ~ sP581 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(149,plain,
    ( sP624
    | ~ sP370 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(150,plain,
    ( sP255
    | ~ sP624 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(151,plain,
    ( sP317
    | ~ sP601 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(152,plain,
    ( sP499
    | ~ sP324 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(153,plain,
    ( sP499
    | ~ sP317 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(154,plain,
    ( sP147
    | ~ sP436 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(155,plain,
    ( sP147
    | ~ sP593 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(156,plain,
    ( sP328
    | ~ sP147 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(157,plain,
    ( sP130
    | ~ sP328 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(158,plain,
    ( sP247
    | ~ sP12 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(159,plain,
    ( sP155
    | ~ sP343 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(160,plain,
    ( sP155
    | ~ sP247 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(161,plain,
    ( sP547
    | ~ sP358 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(162,plain,
    ( sP547
    | ~ sP136 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(163,plain,
    ( sP598
    | ~ sP547 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(164,plain,
    ( sP510
    | ~ sP598 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(165,plain,
    ( sP620
    | ~ sP379 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(166,plain,
    ( sP497
    | ~ sP211 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(167,plain,
    ( sP497
    | ~ sP620 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(168,plain,
    ( sP623
    | ~ sP511 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(169,plain,
    ( sP231
    | ~ sP52 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(170,plain,
    ( sP546
    | ~ sP534 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(171,plain,
    ( sP152
    | ~ sP124 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(172,plain,
    ( sP152
    | ~ sP546 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(173,plain,
    ( sP565
    | ~ sP601 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(174,plain,
    ( sP565
    | ~ sP324 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(175,plain,
    ( sP473
    | ~ sP565 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(176,plain,
    ( sP538
    | ~ sP473 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(177,plain,
    ( sP463
    | ~ sP238 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(178,plain,
    ( sP315
    | ~ sP616 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(179,plain,
    ( sP315
    | ~ sP463 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(180,plain,
    ( sP349
    | ~ sP12 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(181,plain,
    ( sP349
    | ~ sP343 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(182,plain,
    ( sP590
    | ~ sP349 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(183,plain,
    ( sP182
    | ~ sP590 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(184,plain,
    ( sP393
    | ~ sP414 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(185,plain,
    ( sP468
    | ~ sP178 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(186,plain,
    ( sP468
    | ~ sP393 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(187,plain,
    ( sP630
    | ~ sP379 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(188,plain,
    ( sP630
    | ~ sP211 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(189,plain,
    ( sP606
    | ~ sP630 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(190,plain,
    ( ~ sP605
    | sP78
    | sP18 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(191,plain,
    ( ~ sP237
    | sP603
    | sP492 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(192,plain,
    ( ~ sP157
    | sP294
    | sP116 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(193,plain,
    ( ~ sP246
    | sP141
    | sP313 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(194,plain,
    ( ~ sP262
    | sP15
    | sP373 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(195,plain,
    ( ~ sP42
    | sP106
    | sP53 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(196,plain,
    ( ~ sP77
    | sP583
    | sP502 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(197,plain,
    ( ~ sP533
    | sP176
    | sP430 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(198,plain,
    ( ~ sP65
    | sP334
    | sP530 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(199,plain,
    ( ~ sP97
    | sP571
    | sP239 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(200,plain,
    ( ~ sP58
    | sP394
    | sP252 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(201,plain,
    ( ~ sP162
    | sP151
    | sP206 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(202,plain,
    ( ~ sP190
    | sP222
    | sP384 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(203,plain,
    ( ~ sP462
    | sP278
    | sP476 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(204,plain,
    ( ~ sP312
    | sP536
    | sP258 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(205,plain,
    ( ~ sP346
    | sP438
    | sP291 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(206,plain,
    ( ~ sP494
    | sP110
    | sP403 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(207,plain,
    ( ~ sP214
    | sP360
    | sP436 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(208,plain,
    ( ~ sP117
    | sP422
    | sP358 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(209,plain,
    ( ~ sP584
    | sP207
    | sP511 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(210,plain,
    ( ~ sP419
    | sP109
    | sP601 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(211,plain,
    ( ~ sP159
    | sP332
    | sP12 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(212,plain,
    ( ~ sP22
    | sP305
    | sP379 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(213,plain,
    ( ~ sP520
    | sP192
    | sP238 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(214,plain,
    ( ~ sP461
    | sP342
    | sP414 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(215,plain,
    ( ~ sP611
    | ~ sP219
    | ~ sP194 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(216,plain,
    ( ~ sP33
    | ~ sP78
    | ~ sP425 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(217,plain,
    ( sP399
    | sP611 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(218,plain,
    ( sP338
    | sP33 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(219,plain,
    ( sP338
    | ~ sP399 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(220,plain,
    ( ~ sP98
    | ~ sP603
    | ~ sP427 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(221,plain,
    ( sP102
    | ~ sP338 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(222,plain,
    ( sP143
    | sP98 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(223,plain,
    ( sP143
    | ~ sP102 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(224,plain,
    ( ~ sP285
    | ~ sP626
    | ~ sP430 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(225,plain,
    ( sP528
    | ~ sP143 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(226,plain,
    ( ~ sP458
    | ~ sP298
    | ~ sP530 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(227,plain,
    ( sP490
    | sP285 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(228,plain,
    ( sP490
    | ~ sP528 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(229,plain,
    ( sP367
    | sP458 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(230,plain,
    ( sP367
    | ~ sP490 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(231,plain,
    ( sP482
    | ~ sP367 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(232,plain,
    ( sP140
    | ~ sP482 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(233,plain,
    ( sP444
    | ~ sP140 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(234,plain,
    ( sP437
    | ~ sP444 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(235,plain,
    ( sP51
    | ~ sP437 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(236,plain,
    ( sP221
    | ~ sP51 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(237,plain,
    ( sP470
    | ~ sP221 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(238,plain,
    ( sP200
    | ~ sP470 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(239,plain,
    ( sP59
    | ~ sP200 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(240,plain,
    ( sP311
    | ~ sP59 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(241,plain,
    ( ~ sP174
    | ~ sP197
    | ~ sP122 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(242,plain,
    ( sP594
    | ~ sP311 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(243,plain,
    ( sP150
    | sP174 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(244,plain,
    ( sP150
    | ~ sP594 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(245,plain,
    ( ~ sP556
    | ~ sP475
    | ~ sP301 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(246,plain,
    ( sP398
    | ~ sP150 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(247,plain,
    ( sP297
    | sP556 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(248,plain,
    ( sP297
    | ~ sP398 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(249,plain,
    ( ~ sP28
    | ~ sP334
    | ~ sP265 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(250,plain,
    ( sP69
    | ~ sP297 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(251,plain,
    ( ~ sP335
    | ~ sP522
    | ~ sP390 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(252,plain,
    ( sP242
    | sP28 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(253,plain,
    ( sP242
    | ~ sP69 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(254,plain,
    ( sP501
    | sP335 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(255,plain,
    ( sP501
    | ~ sP242 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(256,plain,
    ( ~ sP486
    | ~ sP120
    | ~ sP383 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(257,plain,
    ( sP73
    | ~ sP501 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(258,plain,
    ( sP392
    | sP486 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(259,plain,
    ( sP392
    | ~ sP73 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(260,plain,
    ( ~ sP441
    | ~ sP275
    | ~ sP416 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(261,plain,
    ( sP7
    | ~ sP392 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(262,plain,
    ( sP185
    | sP441 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(263,plain,
    ( sP185
    | ~ sP7 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(264,plain,
    ( ~ sP81
    | ~ sP291
    | ~ sP115 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(265,plain,
    ( sP251
    | ~ sP185 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(266,plain,
    ( sP173
    | sP81 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(267,plain,
    ( sP173
    | ~ sP251 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(268,plain,
    ( ~ sP161
    | ~ sP25
    | ~ sP79 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(269,plain,
    ( sP27
    | ~ sP173 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(270,plain,
    ( ~ sP577
    | ~ sP266
    | ~ sP622 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(271,plain,
    ( sP366
    | sP161 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(272,plain,
    ( sP366
    | ~ sP27 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(273,plain,
    ( ~ sP348
    | ~ sP217
    | ~ sP495 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(274,plain,
    ( sP123
    | sP577 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(275,plain,
    ( sP123
    | ~ sP366 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(276,plain,
    ( ~ sP263
    | ~ sP480
    | ~ sP91 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(277,plain,
    ( sP20
    | sP348 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(278,plain,
    ( sP20
    | ~ sP123 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(279,plain,
    ( ~ sP19
    | ~ sP38
    | ~ sP535 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(280,plain,
    ( sP553
    | sP263 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(281,plain,
    ( sP553
    | ~ sP20 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(282,plain,
    ( ~ sP261
    | ~ sP250
    | ~ sP439 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(283,plain,
    ( sP478
    | sP19 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(284,plain,
    ( sP478
    | ~ sP553 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(285,plain,
    ( sP562
    | sP261 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(286,plain,
    ( sP562
    | ~ sP478 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(287,plain,
    ( sP341
    | ~ sP562 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(288,plain,
    ( sP596
    | ~ sP341 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(289,plain,
    ( sP168
    | ~ sP596 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(290,plain,
    ( sP600
    | ~ sP168 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(291,plain,
    ( sP574
    | ~ sP600 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(292,plain,
    ( sP127
    | ~ sP574 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(293,plain,
    ( sP205
    | ~ sP127 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(294,plain,
    ( ~ sP276
    | ~ sP500
    | ~ sP438 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(295,plain,
    ( sP93
    | ~ sP205 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(296,plain,
    ( ~ sP92
    | ~ sP466
    | ~ sP110 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(297,plain,
    ( sP424
    | sP276 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(298,plain,
    ( sP424
    | ~ sP93 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(299,plain,
    ( sP273
    | sP92 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(300,plain,
    ( sP273
    | ~ sP424 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(301,plain,
    ( ~ sP225
    | ~ sP192
    | ~ sP454 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(302,plain,
    ( sP233
    | ~ sP273 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(303,plain,
    ( sP618
    | sP225 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(304,plain,
    ( sP618
    | ~ sP233 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(305,plain,
    ( ~ sP10
    | ~ sP342
    | ~ sP347 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(306,plain,
    ( sP269
    | ~ sP618 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(307,plain,
    ( sP509
    | sP10 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(308,plain,
    ( sP509
    | ~ sP269 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(309,plain,
    ( ~ sP401
    | ~ sP387
    | ~ sP304 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(310,plain,
    ( sP85
    | ~ sP509 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(311,plain,
    ( ~ sP505
    | ~ sP361
    | ~ sP126 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(312,plain,
    ( sP61
    | sP401 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(313,plain,
    ( sP61
    | ~ sP85 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(314,plain,
    ( sP385
    | sP505 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(315,plain,
    ( sP385
    | ~ sP61 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(316,plain,
    ( sP327
    | ~ sP385 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(317,plain,
    ( ~ sP542
    | ~ sP236
    | ~ sP481 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(318,plain,
    ( sP39
    | ~ sP327 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(319,plain,
    ( sP55
    | sP542 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(320,plain,
    ( sP55
    | ~ sP39 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(321,plain,
    ( ~ sP484
    | ~ sP103
    | ~ sP492 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(322,plain,
    ( sP89
    | ~ sP55 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(323,plain,
    ( sP602
    | sP484 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(324,plain,
    ( sP602
    | ~ sP89 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(325,plain,
    ( sP201
    | ~ sP602 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(326,plain,
    ( sP449
    | ~ sP201 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(327,plain,
    ( sP329
    | ~ sP449 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(328,plain,
    ( sP29
    | ~ sP329 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(329,plain,
    ( ~ sP111
    | ~ sP82
    | ~ sP561 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(330,plain,
    ( sP467
    | ~ sP29 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(331,plain,
    ( sP580
    | sP111 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(332,plain,
    ( sP580
    | ~ sP467 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(333,plain,
    ( sP290
    | ~ sP580 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(334,plain,
    ( sP628
    | ~ sP290 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(335,plain,
    ( ~ sP564
    | ~ sP177
    | ~ sP619 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(336,plain,
    ( sP446
    | ~ sP628 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(337,plain,
    ( sP460
    | sP564 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(338,plain,
    ( sP460
    | ~ sP446 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(339,plain,
    ( ~ sP66
    | ~ sP165
    | ~ sP283 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(340,plain,
    ( sP610
    | ~ sP460 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(341,plain,
    ( sP227
    | sP66 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(342,plain,
    ( sP227
    | ~ sP610 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(343,plain,
    ( ~ sP232
    | ~ sP62
    | ~ sP502 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(344,plain,
    ( sP308
    | ~ sP227 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(345,plain,
    ( ~ sP240
    | ~ sP64
    | ~ sP369 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(346,plain,
    ( sP270
    | sP232 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(347,plain,
    ( sP270
    | ~ sP308 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(348,plain,
    ( sP345
    | sP240 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(349,plain,
    ( sP345
    | ~ sP270 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(350,plain,
    ( sP413
    | ~ sP345 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(351,plain,
    ( ~ sP340
    | ~ sP368
    | ~ sP319 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(352,plain,
    ( sP318
    | ~ sP413 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(353,plain,
    ( sP415
    | sP340 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(354,plain,
    ( sP415
    | ~ sP318 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(355,plain,
    ( ~ sP300
    | ~ sP585
    | ~ sP56 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(356,plain,
    ( sP80
    | ~ sP415 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(357,plain,
    ( sP226
    | sP300 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(358,plain,
    ( sP226
    | ~ sP80 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(359,plain,
    ( sP376
    | ~ sP226 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(360,plain,
    ( sP579
    | ~ sP376 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(361,plain,
    ( ~ sP409
    | ~ sP50
    | ~ sP586 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(362,plain,
    ( sP32
    | ~ sP579 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(363,plain,
    ( ~ sP230
    | ~ sP476
    | ~ sP411 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(364,plain,
    ( sP248
    | sP409 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(365,plain,
    ( sP248
    | ~ sP32 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(366,plain,
    ( sP30
    | sP230 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(367,plain,
    ( sP30
    | ~ sP248 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(368,plain,
    ( sP310
    | ~ sP30 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(369,plain,
    ( ~ sP423
    | ~ sP133
    | ~ sP258 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(370,plain,
    ( sP268
    | ~ sP310 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(371,plain,
    ( ~ sP282
    | ~ sP455
    | ~ sP581 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(372,plain,
    ( sP229
    | sP423 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(373,plain,
    ( sP229
    | ~ sP268 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(374,plain,
    ( sP95
    | sP282 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(375,plain,
    ( sP95
    | ~ sP229 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(376,plain,
    ( sP234
    | ~ sP95 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(377,plain,
    ( ~ sP375
    | ~ sP593
    | ~ sP544 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(378,plain,
    ( sP46
    | ~ sP234 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(379,plain,
    ( sP472
    | sP375 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(380,plain,
    ( sP472
    | ~ sP46 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(381,plain,
    ( ~ sP529
    | ~ sP136
    | ~ sP146 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(382,plain,
    ( sP293
    | ~ sP472 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(383,plain,
    ( sP457
    | sP529 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(384,plain,
    ( sP457
    | ~ sP293 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(385,plain,
    ( sP587
    | ~ sP457 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(386,plain,
    ( ~ sP512
    | ~ sP601
    | ~ sP21 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(387,plain,
    ( sP299
    | ~ sP587 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(388,plain,
    ( sP306
    | sP512 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(389,plain,
    ( sP306
    | ~ sP299 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(390,plain,
    ( sP287
    | ~ sP306 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(391,plain,
    ( ~ sP96
    | ~ sP343
    | ~ sP307 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(392,plain,
    ( sP60
    | ~ sP287 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(393,plain,
    ( sP452
    | sP96 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(394,plain,
    ( sP452
    | ~ sP60 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(395,plain,
    ( ~ sP13
    | ~ sP211
    | ~ sP379 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(396,plain,
    ( sP49
    | ~ sP452 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(397,plain,
    ( ~ sP74
    | ~ sP534
    | ~ sP124 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(398,plain,
    ( sP615
    | sP13 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(399,plain,
    ( sP615
    | ~ sP49 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(400,plain,
    ( sP45
    | sP74 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(401,plain,
    ( sP45
    | ~ sP615 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(402,plain,
    ( sP625
    | ~ sP45 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(403,plain,
    ( ~ sP406
    | ~ sP616
    | ~ sP350 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(404,plain,
    ( sP179
    | ~ sP625 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(405,plain,
    ( sP235
    | sP406 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(406,plain,
    ( sP235
    | ~ sP179 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(407,plain,
    ( ~ sP320
    | ~ sP178
    | ~ sP414 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(408,plain,
    ( sP5
    | ~ sP235 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(409,plain,
    ( ~ sP272
    | ~ sP219
    | ~ sP314 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(410,plain,
    ( sP337
    | sP320 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(411,plain,
    ( sP337
    | ~ sP5 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(412,plain,
    ( sP145
    | sP272 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(413,plain,
    ( sP145
    | ~ sP337 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(414,plain,
    ( ~ sP195
    | ~ sP78
    | ~ sP465 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(415,plain,
    ( sP617
    | ~ sP145 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(416,plain,
    ( ~ sP156
    | ~ sP514
    | ~ sP43 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(417,plain,
    ( sP254
    | sP195 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(418,plain,
    ( sP254
    | ~ sP617 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(419,plain,
    ( ~ sP526
    | ~ sP603
    | ~ sP70 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(420,plain,
    ( sP286
    | sP156 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(421,plain,
    ( sP286
    | ~ sP254 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(422,plain,
    ( ~ sP604
    | ~ sP566
    | ~ sP554 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(423,plain,
    ( sP302
    | sP526 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(424,plain,
    ( sP302
    | ~ sP286 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(425,plain,
    ( ~ sP289
    | ~ sP626
    | ~ sP560 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(426,plain,
    ( sP613
    | sP604 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(427,plain,
    ( sP613
    | ~ sP302 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(428,plain,
    ( ~ sP144
    | ~ sP298
    | ~ sP632 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(429,plain,
    ( sP418
    | sP289 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(430,plain,
    ( sP418
    | ~ sP613 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(431,plain,
    ( ~ sP210
    | ~ sP194
    | ~ sP193 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(432,plain,
    ( sP491
    | sP144 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(433,plain,
    ( sP491
    | ~ sP418 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(434,plain,
    ( sP203
    | sP210 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(435,plain,
    ( sP203
    | ~ sP491 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(436,plain,
    ( ~ sP68
    | ~ sP425
    | ~ sP539 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(437,plain,
    ( sP167
    | ~ sP203 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(438,plain,
    ( ~ sP63
    | ~ sP125
    | ~ sP256 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(439,plain,
    ( sP223
    | sP68 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(440,plain,
    ( sP223
    | ~ sP167 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(441,plain,
    ( ~ sP257
    | ~ sP427
    | ~ sP36 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(442,plain,
    ( sP72
    | sP63 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(443,plain,
    ( sP72
    | ~ sP223 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(444,plain,
    ( ~ sP485
    | ~ sP597
    | ~ sP540 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(445,plain,
    ( sP166
    | sP257 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(446,plain,
    ( sP166
    | ~ sP72 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(447,plain,
    ( ~ sP191
    | ~ sP430
    | ~ sP303 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(448,plain,
    ( sP118
    | sP485 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(449,plain,
    ( sP118
    | ~ sP166 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(450,plain,
    ( ~ sP408
    | ~ sP530
    | ~ sP131 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(451,plain,
    ( sP537
    | sP191 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(452,plain,
    ( sP537
    | ~ sP118 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(453,plain,
    ( ~ sP633
    | ~ sP557
    | ~ sP559 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(454,plain,
    ( sP609
    | sP408 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(455,plain,
    ( sP609
    | ~ sP537 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(456,plain,
    ( ~ sP260
    | ~ sP488
    | ~ sP402 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(457,plain,
    ( sP541
    | sP633 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(458,plain,
    ( sP541
    | ~ sP609 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(459,plain,
    ( ~ sP309
    | ~ sP71
    | ~ sP382 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(460,plain,
    ( sP576
    | sP260 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(461,plain,
    ( sP576
    | ~ sP541 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(462,plain,
    ( ~ sP378
    | ~ sP197
    | ~ sP363 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(463,plain,
    ( sP356
    | sP309 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(464,plain,
    ( sP356
    | ~ sP576 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(465,plain,
    ( ~ sP281
    | ~ sP410
    | ~ sP164 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(466,plain,
    ( sP158
    | sP378 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(467,plain,
    ( sP158
    | ~ sP356 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(468,plain,
    ( ~ sP442
    | ~ sP475
    | ~ sP362 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(469,plain,
    ( sP503
    | sP281 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(470,plain,
    ( sP503
    | ~ sP158 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(471,plain,
    ( ~ sP371
    | ~ sP176
    | ~ sP352 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(472,plain,
    ( sP184
    | sP442 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(473,plain,
    ( sP184
    | ~ sP503 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(474,plain,
    ( ~ sP163
    | ~ sP334
    | ~ sP527 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(475,plain,
    ( sP570
    | sP371 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(476,plain,
    ( sP570
    | ~ sP184 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(477,plain,
    ( ~ sP627
    | ~ sP522
    | ~ sP112 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(478,plain,
    ( sP545
    | sP163 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(479,plain,
    ( sP545
    | ~ sP570 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(480,plain,
    ( ~ sP172
    | ~ sP519
    | ~ sP435 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(481,plain,
    ( sP552
    | sP627 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(482,plain,
    ( sP552
    | ~ sP545 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(483,plain,
    ( ~ sP134
    | ~ sP120
    | ~ sP169 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(484,plain,
    ( sP395
    | sP172 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(485,plain,
    ( sP395
    | ~ sP552 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(486,plain,
    ( ~ sP380
    | ~ sP99
    | ~ sP381 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(487,plain,
    ( sP142
    | sP134 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(488,plain,
    ( sP142
    | ~ sP395 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(489,plain,
    ( ~ sP189
    | ~ sP275
    | ~ sP412 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(490,plain,
    ( sP121
    | sP380 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(491,plain,
    ( sP121
    | ~ sP142 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(492,plain,
    ( ~ sP532
    | ~ sP397
    | ~ sP331 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(493,plain,
    ( sP469
    | sP189 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(494,plain,
    ( sP469
    | ~ sP121 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(495,plain,
    ( ~ sP525
    | ~ sP291
    | ~ sP11 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(496,plain,
    ( sP171
    | sP532 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(497,plain,
    ( sP171
    | ~ sP469 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(498,plain,
    ( ~ sP558
    | ~ sP403
    | ~ sP274 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(499,plain,
    ( sP196
    | sP525 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(500,plain,
    ( sP196
    | ~ sP171 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(501,plain,
    ( ~ sP88
    | ~ sP25
    | ~ sP548 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(502,plain,
    ( sP391
    | sP558 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(503,plain,
    ( sP391
    | ~ sP196 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(504,plain,
    ( ~ sP326
    | ~ sP266
    | ~ sP339 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(505,plain,
    ( sP521
    | sP88 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(506,plain,
    ( sP521
    | ~ sP391 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(507,plain,
    ( ~ sP389
    | ~ sP217
    | ~ sP243 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(508,plain,
    ( sP551
    | sP326 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(509,plain,
    ( sP551
    | ~ sP521 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(510,plain,
    ( ~ sP474
    | ~ sP480
    | ~ sP94 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(511,plain,
    ( sP186
    | sP389 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(512,plain,
    ( sP186
    | ~ sP551 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(513,plain,
    ( ~ sP259
    | ~ sP38
    | ~ sP101 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(514,plain,
    ( sP599
    | sP474 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(515,plain,
    ( sP599
    | ~ sP186 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(516,plain,
    ( ~ sP629
    | ~ sP250
    | ~ sP388 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(517,plain,
    ( sP322
    | sP259 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(518,plain,
    ( sP322
    | ~ sP599 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(519,plain,
    ( ~ sP202
    | ~ sP438
    | ~ sP90 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(520,plain,
    ( sP567
    | sP629 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(521,plain,
    ( sP567
    | ~ sP322 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(522,plain,
    ( ~ sP477
    | ~ sP110
    | ~ sP67 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(523,plain,
    ( sP365
    | sP202 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(524,plain,
    ( sP365
    | ~ sP567 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(525,plain,
    ( ~ sP16
    | ~ sP549
    | ~ sP255 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(526,plain,
    ( sP531
    | sP477 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(527,plain,
    ( sP531
    | ~ sP365 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(528,plain,
    ( ~ sP517
    | ~ sP454
    | ~ sP499 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(529,plain,
    ( sP433
    | sP16 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(530,plain,
    ( sP433
    | ~ sP531 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(531,plain,
    ( ~ sP35
    | ~ sP14
    | ~ sP130 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(532,plain,
    ( sP208
    | sP517 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(533,plain,
    ( sP208
    | ~ sP433 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(534,plain,
    ( ~ sP54
    | ~ sP347
    | ~ sP155 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(535,plain,
    ( sP459
    | sP35 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(536,plain,
    ( sP459
    | ~ sP208 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(537,plain,
    ( ~ sP209
    | ~ sP573
    | ~ sP510 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(538,plain,
    ( sP432
    | sP54 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(539,plain,
    ( sP432
    | ~ sP459 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(540,plain,
    ( ~ sP245
    | ~ sP304
    | ~ sP497 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(541,plain,
    ( sP448
    | sP209 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(542,plain,
    ( sP448
    | ~ sP432 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(543,plain,
    ( ~ sP86
    | ~ sP500
    | ~ sP623 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(544,plain,
    ( sP47
    | sP245 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(545,plain,
    ( sP47
    | ~ sP448 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(546,plain,
    ( ~ sP550
    | ~ sP466
    | ~ sP231 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(547,plain,
    ( sP9
    | sP86 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(548,plain,
    ( sP9
    | ~ sP47 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(549,plain,
    ( ~ sP40
    | ~ sP26
    | ~ sP152 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(550,plain,
    ( sP244
    | sP550 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(551,plain,
    ( sP244
    | ~ sP9 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(552,plain,
    ( ~ sP377
    | ~ sP192
    | ~ sP538 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(553,plain,
    ( sP48
    | sP40 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(554,plain,
    ( sP48
    | ~ sP244 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(555,plain,
    ( ~ sP351
    | ~ sP417
    | ~ sP315 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(556,plain,
    ( sP524
    | sP377 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(557,plain,
    ( sP524
    | ~ sP48 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(558,plain,
    ( ~ sP24
    | ~ sP342
    | ~ sP182 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(559,plain,
    ( sP575
    | sP351 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(560,plain,
    ( sP575
    | ~ sP524 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(561,plain,
    ( ~ sP420
    | ~ sP405
    | ~ sP468 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(562,plain,
    ( sP224
    | sP24 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(563,plain,
    ( sP224
    | ~ sP575 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(564,plain,
    ( ~ sP592
    | ~ sP387
    | ~ sP606 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(565,plain,
    ( sP523
    | sP420 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(566,plain,
    ( sP523
    | ~ sP224 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(567,plain,
    ( ~ sP6
    | sP219
    | sP361 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(568,plain,
    ( sP582
    | sP592 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(569,plain,
    ( sP582
    | ~ sP523 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(570,plain,
    ( sP187
    | sP6 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(571,plain,
    ( sP187
    | ~ sP582 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(572,plain,
    ( ~ sP355
    | sP605
    | sP126 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(573,plain,
    ( sP336
    | ~ sP187 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(574,plain,
    ( sP253
    | sP355 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(575,plain,
    ( sP253
    | ~ sP336 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(576,plain,
    ( ~ sP516
    | sP237
    | sP236 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(577,plain,
    ( sP614
    | ~ sP253 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(578,plain,
    ( sP451
    | sP516 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(579,plain,
    ( sP451
    | ~ sP614 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(580,plain,
    ( ~ sP515
    | sP626
    | sP103 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(581,plain,
    ( sP108
    | ~ sP451 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(582,plain,
    ( ~ sP563
    | sP298
    | sP264 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(583,plain,
    ( sP400
    | sP515 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(584,plain,
    ( sP400
    | ~ sP108 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(585,plain,
    ( sP464
    | sP563 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(586,plain,
    ( sP464
    | ~ sP400 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(587,plain,
    ( sP105
    | ~ sP464 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(588,plain,
    ( sP17
    | ~ sP105 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(589,plain,
    ( ~ sP284
    | sP157
    | sP135 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(590,plain,
    ( sP218
    | ~ sP17 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(591,plain,
    ( sP119
    | sP284 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(592,plain,
    ( sP119
    | ~ sP218 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(593,plain,
    ( ~ sP543
    | sP246
    | sP82 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(594,plain,
    ( sP569
    | ~ sP119 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(595,plain,
    ( sP213
    | sP543 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(596,plain,
    ( sP213
    | ~ sP569 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(597,plain,
    ( sP175
    | ~ sP213 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(598,plain,
    ( ~ sP568
    | sP262
    | sP631 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(599,plain,
    ( sP498
    | ~ sP175 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(600,plain,
    ( sP212
    | sP568 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(601,plain,
    ( sP212
    | ~ sP498 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(602,plain,
    ( ~ sP295
    | sP42
    | sP177 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(603,plain,
    ( sP426
    | ~ sP212 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(604,plain,
    ( sP354
    | sP295 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(605,plain,
    ( sP354
    | ~ sP426 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(606,plain,
    ( ~ sP607
    | sP77
    | sP165 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(607,plain,
    ( sP591
    | ~ sP354 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(608,plain,
    ( sP386
    | sP607 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(609,plain,
    ( sP386
    | ~ sP591 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(610,plain,
    ( ~ sP489
    | sP533
    | sP62 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(611,plain,
    ( sP608
    | ~ sP386 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(612,plain,
    ( ~ sP344
    | sP65
    | sP64 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(613,plain,
    ( sP199
    | sP489 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(614,plain,
    ( sP199
    | ~ sP608 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(615,plain,
    ( sP220
    | sP344 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(616,plain,
    ( sP220
    | ~ sP199 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(617,plain,
    ( ~ sP296
    | sP97
    | sP369 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(618,plain,
    ( sP595
    | ~ sP220 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(619,plain,
    ( sP181
    | sP296 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(620,plain,
    ( sP181
    | ~ sP595 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(621,plain,
    ( ~ sP149
    | sP58
    | sP368 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(622,plain,
    ( sP84
    | ~ sP181 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(623,plain,
    ( sP434
    | sP149 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(624,plain,
    ( sP434
    | ~ sP84 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(625,plain,
    ( ~ sP241
    | sP162
    | sP585 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(626,plain,
    ( sP280
    | ~ sP434 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(627,plain,
    ( sP612
    | sP241 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(628,plain,
    ( sP612
    | ~ sP280 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(629,plain,
    ( sP228
    | ~ sP612 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(630,plain,
    ( ~ sP353
    | sP190
    | sP506 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(631,plain,
    ( sP57
    | ~ sP228 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(632,plain,
    ( sP428
    | sP353 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(633,plain,
    ( sP428
    | ~ sP57 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(634,plain,
    ( ~ sP153
    | sP462
    | sP50 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(635,plain,
    ( sP578
    | ~ sP428 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(636,plain,
    ( sP138
    | sP153 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(637,plain,
    ( sP138
    | ~ sP578 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(638,plain,
    ( ~ sP107
    | sP312
    | sP321 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(639,plain,
    ( sP31
    | ~ sP138 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(640,plain,
    ( sP188
    | sP107 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(641,plain,
    ( sP188
    | ~ sP31 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(642,plain,
    ( ~ sP34
    | sP346
    | sP133 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(643,plain,
    ( sP87
    | ~ sP188 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(644,plain,
    ( ~ sP216
    | sP494
    | sP455 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(645,plain,
    ( sP3
    | sP34 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(646,plain,
    ( sP3
    | ~ sP87 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(647,plain,
    ( sP456
    | sP216 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(648,plain,
    ( sP456
    | ~ sP3 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(649,plain,
    ( ~ sP450
    | sP214
    | sP581 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(650,plain,
    ( sP128
    | ~ sP456 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(651,plain,
    ( sP372
    | sP450 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(652,plain,
    ( sP372
    | ~ sP128 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(653,plain,
    ( ~ sP44
    | sP117
    | sP593 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(654,plain,
    ( sP431
    | ~ sP372 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(655,plain,
    ( sP333
    | sP44 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(656,plain,
    ( sP333
    | ~ sP431 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(657,plain,
    ( ~ sP572
    | sP584
    | sP136 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(658,plain,
    ( sP154
    | ~ sP333 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(659,plain,
    ( sP76
    | sP572 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(660,plain,
    ( sP76
    | ~ sP154 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(661,plain,
    ( sP83
    | ~ sP76 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(662,plain,
    ( ~ sP471
    | sP419
    | sP52 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(663,plain,
    ( sP100
    | ~ sP83 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(664,plain,
    ( sP37
    | sP471 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(665,plain,
    ( sP37
    | ~ sP100 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(666,plain,
    ( ~ sP507
    | sP159
    | sP324 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(667,plain,
    ( sP2
    | ~ sP37 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(668,plain,
    ( sP487
    | sP507 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(669,plain,
    ( sP487
    | ~ sP2 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(670,plain,
    ( ~ sP267
    | sP22
    | sP343 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(671,plain,
    ( sP8
    | ~ sP487 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(672,plain,
    ( sP445
    | sP267 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(673,plain,
    ( sP445
    | ~ sP8 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(674,plain,
    ( ~ sP4
    | sP500
    | sP211 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(675,plain,
    ( sP198
    | ~ sP445 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(676,plain,
    ( ~ sP160
    | sP466
    | sP534 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(677,plain,
    ( sP429
    | sP4 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(678,plain,
    ( sP429
    | ~ sP198 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(679,plain,
    ( sP170
    | sP160 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(680,plain,
    ( sP170
    | ~ sP429 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(681,plain,
    ( ~ sP555
    | sP520
    | sP124 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(682,plain,
    ( sP588
    | ~ sP170 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(683,plain,
    ( sP443
    | sP555 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(684,plain,
    ( sP443
    | ~ sP588 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(685,plain,
    ( ~ sP104
    | sP461
    | sP616 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(686,plain,
    ( sP292
    | ~ sP443 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(687,plain,
    ( sP316
    | sP104 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(688,plain,
    ( sP316
    | ~ sP292 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(689,plain,
    ( ~ sP589
    | sP387
    | sP178 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(690,plain,
    ( sP1
    | ~ sP316 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(691,plain,
    ( sP277
    | sP589 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(692,plain,
    ( sP277
    | ~ sP1 ),
    inference(prop_rule,[status(thm)],[]) ).

thf(693,plain,
    $false,
    inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,h0]) ).

thf(0,theorem,
    sP277,
    inference(contra,[status(thm),contra(discharge,[h0])],[693,h0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYO181^5 : TPTP v9.2.0. Released v4.0.0.
% 0.04/0.13  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Oct  9 01:05:38 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 14.03/14.24  % SZS status Theorem
% 14.03/14.24  % Mode: mode454
% 14.03/14.24  % Inferences: 1414
% 14.03/14.24  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------