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LEO-II---2.3.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : SEV058^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:49:27 AM UTC 2026

% Result   : Theorem 9.67s 2.17s
% Output   : CNFRefutation 9.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   59
%            Number of leaves      :    1
% Syntax   : Number of formulae    : 1005 (  12 unt;   0 typ;   0 def)
%            Number of atoms       : 21235 (10931 equ;   0 cnn)
%            Maximal formula atoms :    6 (  21 avg)
%            Number of connectives : 17508 (1213   ~;4121   |;  15   &;12144   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  : 11844 (11844   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  108 ( 105 usr;  12 con; 0-2 aty)
%            Number of variables   : 13246 (11404   ^;1837   !;   5   ?;13246   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_sK100_E,type,
    sK100_E: $i ).

thf(tp_sK101_E,type,
    sK101_E: $i ).

thf(tp_sK102_E,type,
    sK102_E: $i > $i ).

thf(tp_sK103_E,type,
    sK103_E: $i > $i ).

thf(tp_sK104_E,type,
    sK104_E: $i ).

thf(tp_sK105_E,type,
    sK105_E: $i ).

thf(tp_sK10_SY20,type,
    sK10_SY20: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK11_SY12,type,
    sK11_SY12: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK12_SY21,type,
    sK12_SY21: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK13_SY23,type,
    sK13_SY23: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK14_SY25,type,
    sK14_SY25: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK15_SY26,type,
    sK15_SY26: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK16_SV31,type,
    sK16_SV31: $i > $i ).

thf(tp_sK17_SV32,type,
    sK17_SV32: $i > $i ).

thf(tp_sK18_SV33,type,
    sK18_SV33: $i ).

thf(tp_sK19_SV34,type,
    sK19_SV34: $i ).

thf(tp_sK1_SY8,type,
    sK1_SY8: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK20_SV43,type,
    sK20_SV43: $i ).

thf(tp_sK21_SV46,type,
    sK21_SV46: $i > $i ).

thf(tp_sK22_SV49,type,
    sK22_SV49: $i > $i ).

thf(tp_sK23_SV52,type,
    sK23_SV52: $i > $i ).

thf(tp_sK24_SV55,type,
    sK24_SV55: $i > $i ).

thf(tp_sK25_SV57,type,
    sK25_SV57: $i ).

thf(tp_sK26_SV59,type,
    sK26_SV59: $i ).

thf(tp_sK27_SV65,type,
    sK27_SV65: $i > $i ).

thf(tp_sK28_SV67,type,
    sK28_SV67: $i > $i ).

thf(tp_sK29_SV69,type,
    sK29_SV69: $i > $i ).

thf(tp_sK2_SY15,type,
    sK2_SY15: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK30_SV71,type,
    sK30_SV71: $i > $i ).

thf(tp_sK31_SV76,type,
    sK31_SV76: $i > $i ).

thf(tp_sK32_SV77,type,
    sK32_SV77: $i > $i ).

thf(tp_sK33_SV78,type,
    sK33_SV78: $i > $i ).

thf(tp_sK34_SV79,type,
    sK34_SV79: $i > $i ).

thf(tp_sK35_SV80,type,
    sK35_SV80: $i > $i ).

thf(tp_sK36_SV81,type,
    sK36_SV81: $i > $i ).

thf(tp_sK37_SV82,type,
    sK37_SV82: $i > $i ).

thf(tp_sK38_SV83,type,
    sK38_SV83: $i > $i ).

thf(tp_sK39_SV104,type,
    sK39_SV104: $i > $i ).

thf(tp_sK3_SY17,type,
    sK3_SY17: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i ).

thf(tp_sK40_SV109,type,
    sK40_SV109: $i > $i ).

thf(tp_sK41_SV114,type,
    sK41_SV114: $i > $i ).

thf(tp_sK42_SV119,type,
    sK42_SV119: $i > $i ).

thf(tp_sK43_E,type,
    sK43_E: $i ).

thf(tp_sK44_E,type,
    sK44_E: $i > $i ).

thf(tp_sK45_E,type,
    sK45_E: $i > $i ).

thf(tp_sK46_E,type,
    sK46_E: $i > $i ).

thf(tp_sK47_E,type,
    sK47_E: $i > $i ).

thf(tp_sK48_E,type,
    sK48_E: $i > $i ).

thf(tp_sK49_E,type,
    sK49_E: $i > $i ).

thf(tp_sK4_SY11,type,
    sK4_SY11: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK50_E,type,
    sK50_E: $i > $i ).

thf(tp_sK51_E,type,
    sK51_E: $i > $i ).

thf(tp_sK52_E,type,
    sK52_E: $i > $i ).

thf(tp_sK53_E,type,
    sK53_E: $i > $i ).

thf(tp_sK54_E,type,
    sK54_E: $i > $i ).

thf(tp_sK55_E,type,
    sK55_E: $i > $i ).

thf(tp_sK56_E,type,
    sK56_E: $i > $i ).

thf(tp_sK57_E,type,
    sK57_E: $i > $i ).

thf(tp_sK58_E,type,
    sK58_E: $i > $i ).

thf(tp_sK59_E,type,
    sK59_E: $i > $i ).

thf(tp_sK5_SY11,type,
    sK5_SY11: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK60_E,type,
    sK60_E: $i > $i ).

thf(tp_sK61_E,type,
    sK61_E: $i > $i ).

thf(tp_sK62_E,type,
    sK62_E: $i > $i ).

thf(tp_sK63_E,type,
    sK63_E: $i > $i ).

thf(tp_sK64_E,type,
    sK64_E: $i > $i ).

thf(tp_sK65_E,type,
    sK65_E: $i > $i ).

thf(tp_sK66_E,type,
    sK66_E: $i > $i ).

thf(tp_sK67_E,type,
    sK67_E: $i > $i ).

thf(tp_sK68_E,type,
    sK68_E: $i > $i ).

thf(tp_sK69_E,type,
    sK69_E: $i > $i ).

thf(tp_sK6_SY12,type,
    sK6_SY12: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK70_E,type,
    sK70_E: $i > $i ).

thf(tp_sK71_E,type,
    sK71_E: $i > $i ).

thf(tp_sK72_E,type,
    sK72_E: $i > $i ).

thf(tp_sK73_E,type,
    sK73_E: $i > $i ).

thf(tp_sK74_E,type,
    sK74_E: $i > $i ).

thf(tp_sK75_E,type,
    sK75_E: $i > $i ).

thf(tp_sK76_E,type,
    sK76_E: $i > $i ).

thf(tp_sK77_E,type,
    sK77_E: $i > $i ).

thf(tp_sK78_E,type,
    sK78_E: $i > $i ).

thf(tp_sK79_E,type,
    sK79_E: $i > $i ).

thf(tp_sK7_SY11,type,
    sK7_SY11: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK80_E,type,
    sK80_E: $i > $i ).

thf(tp_sK81_E,type,
    sK81_E: $i > $i ).

thf(tp_sK82_E,type,
    sK82_E: $i > $i ).

thf(tp_sK83_E,type,
    sK83_E: $i > $i ).

thf(tp_sK84_E,type,
    sK84_E: $i > $i ).

thf(tp_sK85_E,type,
    sK85_E: $i > $i ).

thf(tp_sK86_E,type,
    sK86_E: $i > $i ).

thf(tp_sK87_E,type,
    sK87_E: $i > $i ).

thf(tp_sK88_E,type,
    sK88_E: $i > $i ).

thf(tp_sK89_E,type,
    sK89_E: $i > $i ).

thf(tp_sK8_SY18,type,
    sK8_SY18: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK90_E,type,
    sK90_E: $i > $i ).

thf(tp_sK91_E,type,
    sK91_E: $i > $i ).

thf(tp_sK92_E,type,
    sK92_E: $i > $i ).

thf(tp_sK93_E,type,
    sK93_E: $i > $i ).

thf(tp_sK94_E,type,
    sK94_E: $i > $i ).

thf(tp_sK95_E,type,
    sK95_E: $i > $i ).

thf(tp_sK96_E,type,
    sK96_E: $i > $i ).

thf(tp_sK97_E,type,
    sK97_E: $i > $i ).

thf(tp_sK98_E,type,
    sK98_E: $i > $i ).

thf(tp_sK99_E,type,
    sK99_E: $i > $i ).

thf(tp_sK9_SY12,type,
    sK9_SY12: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(1,conjecture,
    ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ! [Xu: $i > $o,Xv: $i > $o] :
          ( ( R @ Xu @ Xv )
         => ! [Xz: $i] :
              ( ( Xu @ Xz )
             => ( Xv @ Xz ) ) )
      & ! [Xx: $i > $o] : ( R @ Xx @ Xx )
      & ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
          ( ( ( R @ Xx @ Xy )
            & ( R @ Xy @ Xz ) )
         => ( R @ Xx @ Xz ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM122_pme) ).

thf(2,negated_conjecture,
    ( ( ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
          ( ! [Xu: $i > $o,Xv: $i > $o] :
              ( ( R @ Xu @ Xv )
             => ! [Xz: $i] :
                  ( ( Xu @ Xz )
                 => ( Xv @ Xz ) ) )
          & ! [Xx: $i > $o] : ( R @ Xx @ Xx )
          & ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
              ( ( ( R @ Xx @ Xy )
                & ( R @ Xy @ Xz ) )
             => ( R @ Xx @ Xz ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
          ( ! [Xu: $i > $o,Xv: $i > $o] :
              ( ( R @ Xu @ Xv )
             => ! [Xz: $i] :
                  ( ( Xu @ Xz )
                 => ( Xv @ Xz ) ) )
          & ! [Xx: $i > $o] : ( R @ Xx @ Xx )
          & ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
              ( ( ( R @ Xx @ Xy )
                & ( R @ Xy @ Xz ) )
             => ( R @ Xx @ Xz ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ~ ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
            ( ! [Xu: $i > $o,Xv: $i > $o] :
                ( ( R @ Xu @ Xv )
               => ! [Xz: $i] :
                    ( ( Xu @ Xz )
                   => ( Xv @ Xz ) ) )
            & ! [Xx: $i > $o] : ( R @ Xx @ Xx )
            & ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
                ( ( ( R @ Xx @ Xy )
                  & ( R @ Xy @ Xz ) )
               => ( R @ Xx @ Xz ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[3]) ).

thf(5,plain,
    ( ( ~ ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
            ( ! [Xu: $i > $o,Xv: $i > $o] :
                ( ( R @ Xu @ Xv )
               => ! [Xz: $i] :
                    ( ( Xu @ Xz )
                   => ( Xv @ Xz ) ) )
            & ! [Xx: $i > $o] : ( R @ Xx @ Xx )
            & ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
                ( ( ( R @ Xx @ Xy )
                  & ( R @ Xy @ Xz ) )
               => ( R @ Xx @ Xz ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[4]) ).

thf(6,plain,
    ( ( ~ ~ ! [SX0: ( $i > $o ) > ( $i > $o ) > $o] :
              ~ ~ ( ~ ~ ( ~ ! [SX1: $i > $o,SX2: $i > $o] :
                              ( ~ ( SX0 @ SX1 @ SX2 )
                              | ! [SX3: $i] :
                                  ( ~ ( SX1 @ SX3 )
                                  | ( SX2 @ SX3 ) ) )
                        | ~ ! [SX1: $i > $o] : ( SX0 @ SX1 @ SX1 ) )
                  | ~ ! [SX1: $i > $o,SX2: $i > $o,SX3: $i > $o] :
                        ( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
                              | ~ ( SX0 @ SX2 @ SX3 ) )
                        | ( SX0 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(7,plain,
    ( ( ~ ! [SX0: ( $i > $o ) > ( $i > $o ) > $o] :
            ~ ~ ( ~ ~ ( ~ ! [SX1: $i > $o,SX2: $i > $o] :
                            ( ~ ( SX0 @ SX1 @ SX2 )
                            | ! [SX3: $i] :
                                ( ~ ( SX1 @ SX3 )
                                | ( SX2 @ SX3 ) ) )
                      | ~ ! [SX1: $i > $o] : ( SX0 @ SX1 @ SX1 ) )
                | ~ ! [SX1: $i > $o,SX2: $i > $o,SX3: $i > $o] :
                      ( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
                            | ~ ( SX0 @ SX2 @ SX3 ) )
                      | ( SX0 @ SX1 @ SX3 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[6]) ).

thf(8,plain,
    ( ( ! [SX0: ( $i > $o ) > ( $i > $o ) > $o] :
          ~ ~ ( ~ ~ ( ~ ! [SX1: $i > $o,SX2: $i > $o] :
                          ( ~ ( SX0 @ SX1 @ SX2 )
                          | ! [SX3: $i] :
                              ( ~ ( SX1 @ SX3 )
                              | ( SX2 @ SX3 ) ) )
                    | ~ ! [SX1: $i > $o] : ( SX0 @ SX1 @ SX1 ) )
              | ~ ! [SX1: $i > $o,SX2: $i > $o,SX3: $i > $o] :
                    ( ~ ~ ( ~ ( SX0 @ SX1 @ SX2 )
                          | ~ ( SX0 @ SX2 @ SX3 ) )
                    | ( SX0 @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7]) ).

thf(9,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY8: $i > $o,SY9: $i > $o] :
                          ( ~ ( SV1 @ SY8 @ SY9 )
                          | ! [SX3: $i] :
                              ( ~ ( SY8 @ SX3 )
                              | ( SY9 @ SX3 ) ) )
                    | ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
              | ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                    ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                          | ~ ( SV1 @ SY13 @ SY14 ) )
                    | ( SV1 @ SY12 @ SY14 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8]) ).

thf(10,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ~ ( ~ ~ ( ~ ! [SY8: $i > $o,SY9: $i > $o] :
                        ( ~ ( SV1 @ SY8 @ SY9 )
                        | ! [SX3: $i] :
                            ( ~ ( SY8 @ SX3 )
                            | ( SY9 @ SX3 ) ) )
                  | ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
            | ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                  ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                        | ~ ( SV1 @ SY13 @ SY14 ) )
                  | ( SV1 @ SY12 @ SY14 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[9]) ).

thf(11,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ~ ~ ( ~ ! [SY8: $i > $o,SY9: $i > $o] :
                    ( ~ ( SV1 @ SY8 @ SY9 )
                    | ! [SX3: $i] :
                        ( ~ ( SY8 @ SX3 )
                        | ( SY9 @ SX3 ) ) )
              | ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
        | ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                    | ~ ( SV1 @ SY13 @ SY14 ) )
              | ( SV1 @ SY12 @ SY14 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[10]) ).

thf(12,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ! [SY8: $i > $o,SY9: $i > $o] :
                      ( ~ ( SV1 @ SY8 @ SY9 )
                      | ! [SX3: $i] :
                          ( ~ ( SY8 @ SX3 )
                          | ( SY9 @ SX3 ) ) )
                | ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[11]) ).

thf(13,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ! [SY8: $i > $o,SY9: $i > $o] :
                    ( ~ ( SV1 @ SY8 @ SY9 )
                    | ! [SX3: $i] :
                        ( ~ ( SY8 @ SX3 )
                        | ( SY9 @ SX3 ) ) )
              | ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[12]) ).

thf(14,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ! [SY8: $i > $o,SY9: $i > $o] :
                ( ~ ( SV1 @ SY8 @ SY9 )
                | ! [SX3: $i] :
                    ( ~ ( SY8 @ SX3 )
                    | ( SY9 @ SX3 ) ) )
          | ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[13]) ).

thf(15,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ! [SY8: $i > $o,SY9: $i > $o] :
                ( ~ ( SV1 @ SY8 @ SY9 )
                | ! [SX3: $i] :
                    ( ~ ( SY8 @ SX3 )
                    | ( SY9 @ SX3 ) ) ) )
        = $true )
      | ( ( ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[14]) ).

thf(16,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY8: $i > $o,SY9: $i > $o] :
              ( ~ ( SV1 @ SY8 @ SY9 )
              | ! [SX3: $i] :
                  ( ~ ( SY8 @ SX3 )
                  | ( SY9 @ SX3 ) ) ) )
        = $false )
      | ( ( ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[15]) ).

thf(17,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY15: $i > $o] :
              ( ~ ( SV1 @ ( sK1_SY8 @ SV1 ) @ SY15 )
              | ! [SY16: $i] :
                  ( ~ ( sK1_SY8 @ SV1 @ SY16 )
                  | ( SY15 @ SY16 ) ) ) )
        = $false )
      | ( ( ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[16]) ).

thf(18,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK2_SY15 @ SV1 ) )
          | ! [SY17: $i] :
              ( ~ ( sK1_SY8 @ SV1 @ SY17 )
              | ( sK2_SY15 @ SV1 @ SY17 ) ) )
        = $false )
      | ( ( ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[17]) ).

thf(19,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK2_SY15 @ SV1 ) ) )
        = $false )
      | ( ( ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[18]) ).

thf(20,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY17: $i] :
              ( ~ ( sK1_SY8 @ SV1 @ SY17 )
              | ( sK2_SY15 @ SV1 @ SY17 ) ) )
        = $false )
      | ( ( ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[18]) ).

thf(21,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK2_SY15 @ SV1 ) )
        = $true )
      | ( ( ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[19]) ).

thf(22,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK1_SY8 @ SV1 @ ( sK3_SY17 @ SV1 ) )
          | ( sK2_SY15 @ SV1 @ ( sK3_SY17 @ SV1 ) ) )
        = $false )
      | ( ( ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[20]) ).

thf(23,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK2_SY15 @ SV1 ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[21]) ).

thf(24,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK1_SY8 @ SV1 @ ( sK3_SY17 @ SV1 ) ) )
        = $false )
      | ( ( ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[22]) ).

thf(25,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK2_SY15 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[22]) ).

thf(26,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK4_SY11 @ SV1 ) @ ( sK4_SY11 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK2_SY15 @ SV1 ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[23]) ).

thf(27,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK1_SY8 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $true )
      | ( ( ~ ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[24]) ).

thf(28,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
        = $false )
      | ( ( sK2_SY15 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[25]) ).

thf(29,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                    | ~ ( SV1 @ SY13 @ SY14 ) )
              | ( SV1 @ SY12 @ SY14 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK2_SY15 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_SY11 @ SV1 ) @ ( sK4_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[26]) ).

thf(30,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY11: $i > $o] : ( SV1 @ SY11 @ SY11 ) )
        = $false )
      | ( ( sK1_SY8 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[27]) ).

thf(31,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK5_SY11 @ SV1 ) @ ( sK5_SY11 @ SV1 ) )
        = $false )
      | ( ( sK2_SY15 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[28]) ).

thf(32,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY18: $i > $o,SY19: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ ( sK6_SY12 @ SV1 ) @ SY18 )
                    | ~ ( SV1 @ SY18 @ SY19 ) )
              | ( SV1 @ ( sK6_SY12 @ SV1 ) @ SY19 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK2_SY15 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_SY11 @ SV1 ) @ ( sK4_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[29]) ).

thf(33,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK7_SY11 @ SV1 ) @ ( sK7_SY11 @ SV1 ) )
        = $false )
      | ( ( sK1_SY8 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY14 ) )
                | ( SV1 @ SY12 @ SY14 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[30]) ).

thf(34,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                    | ~ ( SV1 @ SY13 @ SY14 ) )
              | ( SV1 @ SY12 @ SY14 ) ) )
        = $false )
      | ( ( sK2_SY15 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_SY11 @ SV1 ) @ ( sK5_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[31]) ).

thf(35,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY20: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ ( sK6_SY12 @ SV1 ) @ ( sK8_SY18 @ SV1 ) )
                    | ~ ( SV1 @ ( sK8_SY18 @ SV1 ) @ SY20 ) )
              | ( SV1 @ ( sK6_SY12 @ SV1 ) @ SY20 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK2_SY15 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_SY11 @ SV1 ) @ ( sK4_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[32]) ).

thf(36,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY12: $i > $o,SY13: $i > $o,SY14: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                    | ~ ( SV1 @ SY13 @ SY14 ) )
              | ( SV1 @ SY12 @ SY14 ) ) )
        = $false )
      | ( ( sK1_SY8 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK7_SY11 @ SV1 ) @ ( sK7_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[33]) ).

thf(37,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY21: $i > $o,SY22: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ SY21 )
                    | ~ ( SV1 @ SY21 @ SY22 ) )
              | ( SV1 @ ( sK9_SY12 @ SV1 ) @ SY22 ) ) )
        = $false )
      | ( ( sK2_SY15 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_SY11 @ SV1 ) @ ( sK5_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[34]) ).

thf(38,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK6_SY12 @ SV1 ) @ ( sK8_SY18 @ SV1 ) )
                | ~ ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK10_SY20 @ SV1 ) ) )
          | ( SV1 @ ( sK6_SY12 @ SV1 ) @ ( sK10_SY20 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK2_SY15 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_SY11 @ SV1 ) @ ( sK4_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[35]) ).

thf(39,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY23: $i > $o,SY24: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ ( sK11_SY12 @ SV1 ) @ SY23 )
                    | ~ ( SV1 @ SY23 @ SY24 ) )
              | ( SV1 @ ( sK11_SY12 @ SV1 ) @ SY24 ) ) )
        = $false )
      | ( ( sK1_SY8 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK7_SY11 @ SV1 ) @ ( sK7_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[36]) ).

thf(40,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY25: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK12_SY21 @ SV1 ) )
                    | ~ ( SV1 @ ( sK12_SY21 @ SV1 ) @ SY25 ) )
              | ( SV1 @ ( sK9_SY12 @ SV1 ) @ SY25 ) ) )
        = $false )
      | ( ( sK2_SY15 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_SY11 @ SV1 ) @ ( sK5_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[37]) ).

thf(41,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK6_SY12 @ SV1 ) @ ( sK8_SY18 @ SV1 ) )
                | ~ ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK10_SY20 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK2_SY15 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_SY11 @ SV1 ) @ ( sK4_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[38]) ).

thf(42,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK6_SY12 @ SV1 ) @ ( sK10_SY20 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK2_SY15 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_SY11 @ SV1 ) @ ( sK4_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[38]) ).

thf(43,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY26: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ ( sK11_SY12 @ SV1 ) @ ( sK13_SY23 @ SV1 ) )
                    | ~ ( SV1 @ ( sK13_SY23 @ SV1 ) @ SY26 ) )
              | ( SV1 @ ( sK11_SY12 @ SV1 ) @ SY26 ) ) )
        = $false )
      | ( ( sK1_SY8 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK7_SY11 @ SV1 ) @ ( sK7_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[39]) ).

thf(44,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK12_SY21 @ SV1 ) )
                | ~ ( SV1 @ ( sK12_SY21 @ SV1 ) @ ( sK14_SY25 @ SV1 ) ) )
          | ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK14_SY25 @ SV1 ) ) )
        = $false )
      | ( ( sK2_SY15 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_SY11 @ SV1 ) @ ( sK5_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[40]) ).

thf(45,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK6_SY12 @ SV1 ) @ ( sK8_SY18 @ SV1 ) )
              | ~ ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK10_SY20 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK2_SY15 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_SY11 @ SV1 ) @ ( sK4_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[41]) ).

thf(46,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK11_SY12 @ SV1 ) @ ( sK13_SY23 @ SV1 ) )
                | ~ ( SV1 @ ( sK13_SY23 @ SV1 ) @ ( sK15_SY26 @ SV1 ) ) )
          | ( SV1 @ ( sK11_SY12 @ SV1 ) @ ( sK15_SY26 @ SV1 ) ) )
        = $false )
      | ( ( sK1_SY8 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK7_SY11 @ SV1 ) @ ( sK7_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[43]) ).

thf(47,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK12_SY21 @ SV1 ) )
                | ~ ( SV1 @ ( sK12_SY21 @ SV1 ) @ ( sK14_SY25 @ SV1 ) ) ) )
        = $false )
      | ( ( sK2_SY15 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_SY11 @ SV1 ) @ ( sK5_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[44]) ).

thf(48,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK14_SY25 @ SV1 ) )
        = $false )
      | ( ( sK2_SY15 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_SY11 @ SV1 ) @ ( sK5_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[44]) ).

thf(49,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK6_SY12 @ SV1 ) @ ( sK8_SY18 @ SV1 ) )
          | ~ ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK10_SY20 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK2_SY15 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_SY11 @ SV1 ) @ ( sK4_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[45]) ).

thf(50,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK11_SY12 @ SV1 ) @ ( sK13_SY23 @ SV1 ) )
                | ~ ( SV1 @ ( sK13_SY23 @ SV1 ) @ ( sK15_SY26 @ SV1 ) ) ) )
        = $false )
      | ( ( sK1_SY8 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK7_SY11 @ SV1 ) @ ( sK7_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[46]) ).

thf(51,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK11_SY12 @ SV1 ) @ ( sK15_SY26 @ SV1 ) )
        = $false )
      | ( ( sK1_SY8 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK7_SY11 @ SV1 ) @ ( sK7_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[46]) ).

thf(52,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK12_SY21 @ SV1 ) )
              | ~ ( SV1 @ ( sK12_SY21 @ SV1 ) @ ( sK14_SY25 @ SV1 ) ) ) )
        = $true )
      | ( ( sK2_SY15 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_SY11 @ SV1 ) @ ( sK5_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[47]) ).

thf(53,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK6_SY12 @ SV1 ) @ ( sK8_SY18 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK2_SY15 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_SY11 @ SV1 ) @ ( sK4_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[49]) ).

thf(54,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK10_SY20 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK2_SY15 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_SY11 @ SV1 ) @ ( sK4_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[49]) ).

thf(55,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK11_SY12 @ SV1 ) @ ( sK13_SY23 @ SV1 ) )
              | ~ ( SV1 @ ( sK13_SY23 @ SV1 ) @ ( sK15_SY26 @ SV1 ) ) ) )
        = $true )
      | ( ( sK1_SY8 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK7_SY11 @ SV1 ) @ ( sK7_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[50]) ).

thf(56,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK12_SY21 @ SV1 ) )
          | ~ ( SV1 @ ( sK12_SY21 @ SV1 ) @ ( sK14_SY25 @ SV1 ) ) )
        = $false )
      | ( ( sK2_SY15 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_SY11 @ SV1 ) @ ( sK5_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[52]) ).

thf(57,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK6_SY12 @ SV1 ) @ ( sK8_SY18 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK2_SY15 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_SY11 @ SV1 ) @ ( sK4_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[53]) ).

thf(58,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK8_SY18 @ SV1 ) @ ( sK10_SY20 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK2_SY15 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK4_SY11 @ SV1 ) @ ( sK4_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[54]) ).

thf(59,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK11_SY12 @ SV1 ) @ ( sK13_SY23 @ SV1 ) )
          | ~ ( SV1 @ ( sK13_SY23 @ SV1 ) @ ( sK15_SY26 @ SV1 ) ) )
        = $false )
      | ( ( sK1_SY8 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK7_SY11 @ SV1 ) @ ( sK7_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[55]) ).

thf(60,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK12_SY21 @ SV1 ) ) )
        = $false )
      | ( ( sK2_SY15 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_SY11 @ SV1 ) @ ( sK5_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[56]) ).

thf(61,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK12_SY21 @ SV1 ) @ ( sK14_SY25 @ SV1 ) ) )
        = $false )
      | ( ( sK2_SY15 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_SY11 @ SV1 ) @ ( sK5_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[56]) ).

thf(62,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK11_SY12 @ SV1 ) @ ( sK13_SY23 @ SV1 ) ) )
        = $false )
      | ( ( sK1_SY8 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK7_SY11 @ SV1 ) @ ( sK7_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[59]) ).

thf(63,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK13_SY23 @ SV1 ) @ ( sK15_SY26 @ SV1 ) ) )
        = $false )
      | ( ( sK1_SY8 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK7_SY11 @ SV1 ) @ ( sK7_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[59]) ).

thf(64,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK12_SY21 @ SV1 ) )
        = $true )
      | ( ( sK2_SY15 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_SY11 @ SV1 ) @ ( sK5_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[60]) ).

thf(65,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK12_SY21 @ SV1 ) @ ( sK14_SY25 @ SV1 ) )
        = $true )
      | ( ( sK2_SY15 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK5_SY11 @ SV1 ) @ ( sK5_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[61]) ).

thf(66,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK11_SY12 @ SV1 ) @ ( sK13_SY23 @ SV1 ) )
        = $true )
      | ( ( sK1_SY8 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK7_SY11 @ SV1 ) @ ( sK7_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[62]) ).

thf(67,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK13_SY23 @ SV1 ) @ ( sK15_SY26 @ SV1 ) )
        = $true )
      | ( ( sK1_SY8 @ SV1 @ ( sK3_SY17 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK7_SY11 @ SV1 ) @ ( sK7_SY11 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[63]) ).

thf(68,plain,
    ( ( ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[42:[bind(SV1,$thf( ^ [SV3: $i > $o] : ^ [SV2: $i > $o] : ( SV3 = SV2 ) ))]]) ).

thf(69,plain,
    ( ( ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[68]) ).

thf(70,plain,
    ( ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK14_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK5_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK5_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[48:[bind(SV1,$thf( ^ [SV5: $i > $o] : ^ [SV4: $i > $o] : ( SV5 = SV4 ) ))]]) ).

thf(71,plain,
    ( ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK14_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[70]) ).

thf(72,plain,
    ( ( ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK7_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK7_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[51:[bind(SV1,$thf( ^ [SV7: $i > $o] : ^ [SV6: $i > $o] : ( SV7 = SV6 ) ))]]) ).

thf(73,plain,
    ( ( ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[72]) ).

thf(74,plain,
    ( ( ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[57:[bind(SV1,$thf( ^ [SV9: $i > $o] : ^ [SV8: $i > $o] : ( SV9 = SV8 ) ))]]) ).

thf(75,plain,
    ( ( ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[74]) ).

thf(76,plain,
    ( ( ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK4_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[58:[bind(SV1,$thf( ^ [SV11: $i > $o] : ^ [SV10: $i > $o] : ( SV11 = SV10 ) ))]]) ).

thf(77,plain,
    ( ( ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[76]) ).

thf(78,plain,
    ( ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK12_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK5_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK5_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[64:[bind(SV1,$thf( ^ [SV13: $i > $o] : ^ [SV12: $i > $o] : ( SV13 = SV12 ) ))]]) ).

thf(79,plain,
    ( ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK12_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[78]) ).

thf(80,plain,
    ( ( ( ( sK12_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK14_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK5_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK5_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[65:[bind(SV1,$thf( ^ [SV15: $i > $o] : ^ [SV14: $i > $o] : ( SV15 = SV14 ) ))]]) ).

thf(81,plain,
    ( ( ( ( sK12_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK14_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[80]) ).

thf(82,plain,
    ( ( ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK7_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK7_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[66:[bind(SV1,$thf( ^ [SV17: $i > $o] : ^ [SV16: $i > $o] : ( SV17 = SV16 ) ))]]) ).

thf(83,plain,
    ( ( ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[82]) ).

thf(84,plain,
    ( ( ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK7_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK7_SY11
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[67:[bind(SV1,$thf( ^ [SV19: $i > $o] : ^ [SV18: $i > $o] : ( SV19 = SV18 ) ))]]) ).

thf(85,plain,
    ( ( ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[84]) ).

thf(86,plain,
    ( ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK14_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(fac_restr,[status(thm)],[71]) ).

thf(87,plain,
    ( ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(fac_restr,[status(thm)],[75]) ).

thf(88,plain,
    ( ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(fac_restr,[status(thm)],[77]) ).

thf(89,plain,
    ( ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( ( sK11_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK13_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(fac_restr,[status(thm)],[83]) ).

thf(90,plain,
    ( ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( ( sK13_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK15_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(fac_restr,[status(thm)],[85]) ).

thf(91,plain,
    ! [SV20: $i] :
      ( ( ( ( ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV20 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV20 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[87]) ).

thf(92,plain,
    ! [SV21: $i] :
      ( ( ( ( ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV21 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV21 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[88]) ).

thf(93,plain,
    ! [SV22: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV22 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV22 ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[69]) ).

thf(94,plain,
    ! [SV23: $i,SV24: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV23 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV23 ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV24 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV24 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[75]) ).

thf(95,plain,
    ! [SV25: $i,SV26: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV25 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV25 ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV26 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV26 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[77]) ).

thf(96,plain,
    ! [SV27: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV27 )
          = ( sK12_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV27 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[79]) ).

thf(97,plain,
    ! [SV28: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK12_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV28 )
          = ( sK14_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV28 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[81]) ).

thf(98,plain,
    ! [SV29: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK11_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV29 )
          = ( sK13_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV29 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[83]) ).

thf(99,plain,
    ! [SV30: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK13_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV30 )
          = ( sK15_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV30 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[85]) ).

thf(100,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( ( ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[91]) ).

thf(101,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( ( ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[91]) ).

thf(102,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( ( ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[92]) ).

thf(103,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( ( ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[92]) ).

thf(104,plain,
    ! [SV22: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[93]) ).

thf(105,plain,
    ! [SV22: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[93]) ).

thf(106,plain,
    ! [SV23: $i,SV24: $i] :
      ( ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV24 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV24 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV23 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV23 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[94]) ).

thf(107,plain,
    ! [SV23: $i,SV24: $i] :
      ( ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV24 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV24 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV23 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV23 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[94]) ).

thf(108,plain,
    ! [SV25: $i,SV26: $i] :
      ( ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV26 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV26 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV25 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV25 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[95]) ).

thf(109,plain,
    ! [SV25: $i,SV26: $i] :
      ( ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV26 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV26 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV25 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV25 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[95]) ).

thf(110,plain,
    ! [SV27: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV27 )
        = $true )
      | ( ( sK12_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV27 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[96]) ).

thf(111,plain,
    ! [SV27: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV27 )
        = $false )
      | ( ( sK12_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV27 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[96]) ).

thf(112,plain,
    ! [SV28: $i] :
      ( ( ( sK12_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV28 )
        = $true )
      | ( ( sK14_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV28 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[97]) ).

thf(113,plain,
    ! [SV28: $i] :
      ( ( ( sK12_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV28 )
        = $false )
      | ( ( sK14_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV28 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[97]) ).

thf(114,plain,
    ! [SV29: $i] :
      ( ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV29 )
        = $true )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV29 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[98]) ).

thf(115,plain,
    ! [SV29: $i] :
      ( ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV29 )
        = $false )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV29 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[98]) ).

thf(116,plain,
    ! [SV30: $i] :
      ( ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV30 )
        = $true )
      | ( ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV30 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[99]) ).

thf(117,plain,
    ! [SV30: $i] :
      ( ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV30 )
        = $false )
      | ( ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV30 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[99]) ).

thf(118,plain,
    ( ( ( ~ ( ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
              = ( sK14_SY25
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK3_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ~ ( ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
             != ( sK14_SY25
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK3_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[86]) ).

thf(120,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[101]) ).

thf(121,plain,
    ! [SV20: $i] :
      ( ( ( ( ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[101]) ).

thf(122,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[100]) ).

thf(123,plain,
    ! [SV20: $i] :
      ( ( ( ( ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[100]) ).

thf(124,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[103]) ).

thf(125,plain,
    ! [SV21: $i] :
      ( ( ( ( ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[103]) ).

thf(126,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[102]) ).

thf(127,plain,
    ! [SV21: $i] :
      ( ( ( ( ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[102]) ).

thf(128,plain,
    ( ( ( ~ ( ( ( sK11_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
              = ( sK13_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK3_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ~ ( ( ( sK11_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
             != ( sK13_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK3_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[89]) ).

thf(130,plain,
    ( ( ( ~ ( ( ( sK13_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
              = ( sK15_SY26
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK3_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        | ~ ( ( ( sK13_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
             != ( sK15_SY26
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK3_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[90]) ).

thf(132,plain,
    ! [SV22: $i] :
      ( ( ( ! [SV31: $i] :
              ( ( sK6_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV31 )
              = ( sK10_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV31 ) ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[105]) ).

thf(133,plain,
    ! [SV22: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[105]) ).

thf(134,plain,
    ! [SV22: $i] :
      ( ( ( ! [SV32: $i] :
              ( ( sK6_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV32 )
              = ( sK10_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV32 ) ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[104]) ).

thf(135,plain,
    ! [SV22: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[104]) ).

thf(136,plain,
    ( ( ( ! [SV33: $i] :
            ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV33 )
            = ( sK14_SY25
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV33 ) ) )
      = $false )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[71]) ).

thf(137,plain,
    ( ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK14_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[71]) ).

thf(138,plain,
    ( ( ( ! [SV34: $i] :
            ( ( sK11_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV34 )
            = ( sK15_SY26
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV34 ) ) )
      = $false )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[73]) ).

thf(139,plain,
    ( ( ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[73]) ).

thf(141,plain,
    ( ( ( ~ ( ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
             != ( sK14_SY25
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ~ ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK3_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[118]) ).

thf(142,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[120]) ).

thf(143,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[120]) ).

thf(144,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[122]) ).

thf(145,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[122]) ).

thf(146,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[124]) ).

thf(147,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[124]) ).

thf(148,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[126]) ).

thf(149,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[126]) ).

thf(150,plain,
    ( ( ( ~ ( ( ( sK11_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
              = ( sK13_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK3_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[128]) ).

thf(152,plain,
    ( ( ( ~ ( ( ( sK13_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
              = ( sK15_SY26
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
            | ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK3_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
      = $false )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[130]) ).

thf(154,plain,
    ! [SV22: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK16_SV31 @ SV22 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK16_SV31 @ SV22 ) ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[132]) ).

thf(155,plain,
    ! [SV22: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK17_SV32 @ SV22 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK17_SV32 @ SV22 ) ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[134]) ).

thf(156,plain,
    ( ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK18_SV33 )
        = ( sK14_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK18_SV33 ) )
      = $false )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[136]) ).

thf(157,plain,
    ( ( ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK19_SV34 )
        = ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK19_SV34 ) )
      = $false )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[138]) ).

thf(159,plain,
    ( ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK14_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ~ ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK3_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[141]) ).

thf(160,plain,
    ! [SV20: $i] :
      ( ( ( ( ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[142]) ).

thf(161,plain,
    ! [SV20: $i] :
      ( ( ( ( ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[143]) ).

thf(162,plain,
    ! [SV20: $i] :
      ( ( ( ( ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[144]) ).

thf(163,plain,
    ! [SV20: $i] :
      ( ( ( ( ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[145]) ).

thf(164,plain,
    ! [SV21: $i] :
      ( ( ( ( ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[146]) ).

thf(165,plain,
    ! [SV21: $i] :
      ( ( ( ( ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[147]) ).

thf(166,plain,
    ! [SV21: $i] :
      ( ( ( ( ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[148]) ).

thf(167,plain,
    ! [SV21: $i] :
      ( ( ( ( ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[149]) ).

thf(168,plain,
    ( ( ( ( ( sK11_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK13_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[150]) ).

thf(170,plain,
    ( ( ( ( ( sK13_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK15_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        | ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[152]) ).

thf(172,plain,
    ! [SV22: $i] :
      ( ( ( ~ ( ( sK6_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK16_SV31 @ SV22 ) )
              | ( sK10_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK16_SV31 @ SV22 ) ) )
          | ~ ( ~ ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK16_SV31 @ SV22 ) )
              | ~ ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK16_SV31 @ SV22 ) ) ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[154]) ).

thf(174,plain,
    ! [SV22: $i] :
      ( ( ( ~ ( ( sK6_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK17_SV32 @ SV22 ) )
              | ( sK10_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK17_SV32 @ SV22 ) ) )
          | ~ ( ~ ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK17_SV32 @ SV22 ) )
              | ~ ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK17_SV32 @ SV22 ) ) ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[155]) ).

thf(176,plain,
    ( ( ( ~ ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK18_SV33 )
            | ( sK14_SY25
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK18_SV33 ) )
        | ~ ( ~ ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK18_SV33 )
            | ~ ( sK14_SY25
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK18_SV33 ) ) )
      = $false )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[156]) ).

thf(178,plain,
    ( ( ( ~ ( ( sK11_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK19_SV34 )
            | ( sK15_SY26
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK19_SV34 ) )
        | ~ ( ~ ( sK11_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK19_SV34 )
            | ~ ( sK15_SY26
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK19_SV34 ) ) )
      = $false )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[157]) ).

thf(181,plain,
    ( ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
       != ( sK14_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ~ ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK3_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[159]) ).

thf(182,plain,
    ! [SV20: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[160]) ).

thf(183,plain,
    ! [SV20: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[161]) ).

thf(184,plain,
    ! [SV20: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[162]) ).

thf(185,plain,
    ! [SV20: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[163]) ).

thf(186,plain,
    ! [SV21: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[164]) ).

thf(187,plain,
    ! [SV21: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[165]) ).

thf(188,plain,
    ! [SV21: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[166]) ).

thf(189,plain,
    ! [SV21: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[167]) ).

thf(190,plain,
    ( ( ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[168]) ).

thf(192,plain,
    ( ( ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[170]) ).

thf(194,plain,
    ! [SV22: $i] :
      ( ( ( ~ ( ( sK6_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK16_SV31 @ SV22 ) )
              | ( sK10_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK16_SV31 @ SV22 ) ) ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[172]) ).

thf(195,plain,
    ! [SV22: $i] :
      ( ( ( ~ ( ~ ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK16_SV31 @ SV22 ) )
              | ~ ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK16_SV31 @ SV22 ) ) ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[172]) ).

thf(196,plain,
    ! [SV22: $i] :
      ( ( ( ~ ( ( sK6_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK17_SV32 @ SV22 ) )
              | ( sK10_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK17_SV32 @ SV22 ) ) ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[174]) ).

thf(197,plain,
    ! [SV22: $i] :
      ( ( ( ~ ( ~ ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK17_SV32 @ SV22 ) )
              | ~ ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK17_SV32 @ SV22 ) ) ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[174]) ).

thf(198,plain,
    ( ( ( ~ ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK18_SV33 )
            | ( sK14_SY25
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK18_SV33 ) ) )
      = $false )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[176]) ).

thf(199,plain,
    ( ( ( ~ ( ~ ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK18_SV33 )
            | ~ ( sK14_SY25
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK18_SV33 ) ) )
      = $false )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[176]) ).

thf(200,plain,
    ( ( ( ~ ( ( sK11_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK19_SV34 )
            | ( sK15_SY26
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK19_SV34 ) ) )
      = $false )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[178]) ).

thf(201,plain,
    ( ( ( ~ ( ~ ( sK11_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK19_SV34 )
            | ~ ( sK15_SY26
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK19_SV34 ) ) )
      = $false )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[178]) ).

thf(204,plain,
    ( ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK14_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ~ ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK3_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[181]) ).

thf(205,plain,
    ! [SV20: $i] :
      ( ( ( ! [SV36: $i] :
              ( ( sK6_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV36 )
              = ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV36 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[182]) ).

thf(206,plain,
    ! [SV20: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[182]) ).

thf(207,plain,
    ! [SV20: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[183]) ).

thf(208,plain,
    ! [SV20: $i] :
      ( ( ( ! [SV37: $i] :
              ( ( sK6_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV37 )
              = ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV37 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[184]) ).

thf(209,plain,
    ! [SV20: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[184]) ).

thf(210,plain,
    ! [SV20: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[185]) ).

thf(211,plain,
    ! [SV21: $i] :
      ( ( ( ! [SV38: $i] :
              ( ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV38 )
              = ( sK10_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV38 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[186]) ).

thf(212,plain,
    ! [SV21: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[186]) ).

thf(213,plain,
    ! [SV21: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[187]) ).

thf(214,plain,
    ! [SV21: $i] :
      ( ( ( ! [SV39: $i] :
              ( ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV39 )
              = ( sK10_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV39 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[188]) ).

thf(215,plain,
    ! [SV21: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[188]) ).

thf(216,plain,
    ! [SV21: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[189]) ).

thf(217,plain,
    ( ( ( ! [SV40: $i] :
            ( ( sK11_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV40 )
            = ( sK13_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV40 ) ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[190]) ).

thf(218,plain,
    ( ( ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[190]) ).

thf(220,plain,
    ( ( ( ! [SV41: $i] :
            ( ( sK13_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV41 )
            = ( sK15_SY26
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV41 ) ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[192]) ).

thf(221,plain,
    ( ( ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[192]) ).

thf(223,plain,
    ! [SV22: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK16_SV31 @ SV22 ) )
          | ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK16_SV31 @ SV22 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[194]) ).

thf(224,plain,
    ! [SV22: $i] :
      ( ( ( ~ ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV31 @ SV22 ) )
          | ~ ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV31 @ SV22 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[195]) ).

thf(225,plain,
    ! [SV22: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK17_SV32 @ SV22 ) )
          | ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK17_SV32 @ SV22 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[196]) ).

thf(226,plain,
    ! [SV22: $i] :
      ( ( ( ~ ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV32 @ SV22 ) )
          | ~ ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV32 @ SV22 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[197]) ).

thf(227,plain,
    ( ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK18_SV33 )
        | ( sK14_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK18_SV33 ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[198]) ).

thf(228,plain,
    ( ( ( ~ ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK18_SV33 )
        | ~ ( sK14_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK18_SV33 ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[199]) ).

thf(229,plain,
    ( ( ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK19_SV34 )
        | ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK19_SV34 ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[200]) ).

thf(230,plain,
    ( ( ( ~ ( sK11_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK19_SV34 )
        | ~ ( sK15_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK19_SV34 ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[201]) ).

thf(232,plain,
    ( ( ( ! [SV43: $i] :
            ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV43 )
            = ( sK14_SY25
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV43 ) ) )
      = $false )
    | ( ( ~ ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK3_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[204]) ).

thf(233,plain,
    ( ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK14_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ~ ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK3_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[204]) ).

thf(234,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[205]) ).

thf(235,plain,
    ! [SV20: $i] :
      ( ( ( ! [SV45: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV45 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV45 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[206]) ).

thf(236,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[206]) ).

thf(237,plain,
    ! [SV20: $i] :
      ( ( ( ! [SV46: $i] :
              ( ( sK6_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV46 )
              = ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV46 ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[207]) ).

thf(238,plain,
    ! [SV20: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[207]) ).

thf(239,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[208]) ).

thf(240,plain,
    ! [SV20: $i] :
      ( ( ( ! [SV48: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV48 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV48 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[209]) ).

thf(241,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[209]) ).

thf(242,plain,
    ! [SV20: $i] :
      ( ( ( ! [SV49: $i] :
              ( ( sK6_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV49 )
              = ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV49 ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[210]) ).

thf(243,plain,
    ! [SV20: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[210]) ).

thf(244,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[211]) ).

thf(245,plain,
    ! [SV21: $i] :
      ( ( ( ! [SV51: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV51 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV51 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[212]) ).

thf(246,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[212]) ).

thf(247,plain,
    ! [SV21: $i] :
      ( ( ( ! [SV52: $i] :
              ( ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV52 )
              = ( sK10_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV52 ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[213]) ).

thf(248,plain,
    ! [SV21: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[213]) ).

thf(249,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[214]) ).

thf(250,plain,
    ! [SV21: $i] :
      ( ( ( ! [SV54: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV54 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV54 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[215]) ).

thf(251,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[215]) ).

thf(252,plain,
    ! [SV21: $i] :
      ( ( ( ! [SV55: $i] :
              ( ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV55 )
              = ( sK10_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV55 ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[216]) ).

thf(253,plain,
    ! [SV21: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[216]) ).

thf(254,plain,
    ! [SV56: $i] :
      ( ( ( ( sK11_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV56 )
          = ( sK13_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV56 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[217]) ).

thf(257,plain,
    ! [SV58: $i] :
      ( ( ( ( sK13_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV58 )
          = ( sK15_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV58 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[220]) ).

thf(260,plain,
    ! [SV22: $i] :
      ( ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV31 @ SV22 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV31 @ SV22 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[223]) ).

thf(261,plain,
    ! [SV22: $i] :
      ( ( ( ~ ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV31 @ SV22 ) ) )
        = $true )
      | ( ( ~ ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV31 @ SV22 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[224]) ).

thf(262,plain,
    ! [SV22: $i] :
      ( ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV32 @ SV22 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV32 @ SV22 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[225]) ).

thf(263,plain,
    ! [SV22: $i] :
      ( ( ( ~ ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV32 @ SV22 ) ) )
        = $true )
      | ( ( ~ ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV32 @ SV22 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[226]) ).

thf(264,plain,
    ( ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK18_SV33 )
      = $true )
    | ( ( sK14_SY25
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK18_SV33 )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[227]) ).

thf(265,plain,
    ( ( ( ~ ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK18_SV33 ) )
      = $true )
    | ( ( ~ ( sK14_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK18_SV33 ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[228]) ).

thf(266,plain,
    ( ( ( sK11_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK19_SV34 )
      = $true )
    | ( ( sK15_SY26
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK19_SV34 )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[229]) ).

thf(267,plain,
    ( ( ( ~ ( sK11_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK19_SV34 ) )
      = $true )
    | ( ( ~ ( sK15_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK19_SV34 ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[230]) ).

thf(270,plain,
    ( ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK20_SV43 )
        = ( sK14_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK20_SV43 ) )
      = $false )
    | ( ( ~ ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK3_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[232]) ).

thf(271,plain,
    ( ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK14_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[233]) ).

thf(272,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( ~ ( ( sK6_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV44 )
              | ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV44 ) )
          | ~ ( ~ ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV44 )
              | ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV44 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[234]) ).

thf(273,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[234]) ).

thf(274,plain,
    ! [SV20: $i,SV60: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV60 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV60 ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[235]) ).

thf(275,plain,
    ! [SV20: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK21_SV46 @ SV20 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK21_SV46 @ SV20 ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[237]) ).

thf(276,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[238]) ).

thf(277,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( ~ ( ( sK6_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV47 )
              | ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV47 ) )
          | ~ ( ~ ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV47 )
              | ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV47 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[239]) ).

thf(278,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[239]) ).

thf(279,plain,
    ! [SV20: $i,SV61: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV61 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV61 ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[240]) ).

thf(280,plain,
    ! [SV20: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK22_SV49 @ SV20 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK22_SV49 @ SV20 ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[242]) ).

thf(281,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[243]) ).

thf(282,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( ~ ( ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV50 )
              | ( sK10_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV50 ) )
          | ~ ( ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV50 )
              | ~ ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV50 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[244]) ).

thf(283,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[244]) ).

thf(284,plain,
    ! [SV21: $i,SV62: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV62 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV62 ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[245]) ).

thf(285,plain,
    ! [SV21: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK23_SV52 @ SV21 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK23_SV52 @ SV21 ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[247]) ).

thf(286,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[248]) ).

thf(287,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( ~ ( ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV53 )
              | ( sK10_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV53 ) )
          | ~ ( ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV53 )
              | ~ ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV53 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[249]) ).

thf(288,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[249]) ).

thf(289,plain,
    ! [SV21: $i,SV63: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV63 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV63 ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[250]) ).

thf(290,plain,
    ! [SV21: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK24_SV55 @ SV21 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK24_SV55 @ SV21 ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[252]) ).

thf(291,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[253]) ).

thf(292,plain,
    ! [SV56: $i] :
      ( ( ( ~ ( ( sK11_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV56 )
              | ( sK13_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV56 ) )
          | ~ ( ~ ( sK11_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV56 )
              | ~ ( sK13_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV56 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[254]) ).

thf(293,plain,
    ! [SV56: $i] :
      ( ( ( ( sK11_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV56 )
          = ( sK13_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV56 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[254]) ).

thf(296,plain,
    ! [SV58: $i] :
      ( ( ( ~ ( ( sK13_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV58 )
              | ( sK15_SY26
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV58 ) )
          | ~ ( ~ ( sK13_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV58 )
              | ~ ( sK15_SY26
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV58 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[257]) ).

thf(297,plain,
    ! [SV58: $i] :
      ( ( ( ( sK13_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV58 )
          = ( sK15_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV58 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[257]) ).

thf(300,plain,
    ! [SV22: $i] :
      ( ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV31 @ SV22 ) )
        = $false )
      | ( ( ~ ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV31 @ SV22 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[261]) ).

thf(301,plain,
    ! [SV22: $i] :
      ( ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV32 @ SV22 ) )
        = $false )
      | ( ( ~ ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV32 @ SV22 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[263]) ).

thf(302,plain,
    ( ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK18_SV33 )
      = $false )
    | ( ( ~ ( sK14_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK18_SV33 ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[265]) ).

thf(303,plain,
    ( ( ( sK11_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK19_SV34 )
      = $false )
    | ( ( ~ ( sK15_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK19_SV34 ) )
      = $true )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[267]) ).

thf(305,plain,
    ( ( ( ~ ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK20_SV43 )
            | ( sK14_SY25
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK20_SV43 ) )
        | ~ ( ~ ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK20_SV43 )
            | ~ ( sK14_SY25
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK20_SV43 ) ) )
      = $false )
    | ( ( ~ ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK3_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[270]) ).

thf(307,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( ~ ( ( sK6_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV44 )
              | ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV44 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV44 )
              | ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV44 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[272]) ).

thf(308,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( ! [SV64: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV64 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV64 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[273]) ).

thf(309,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[273]) ).

thf(310,plain,
    ! [SV20: $i,SV60: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV60 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV60 ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV60 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV60 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[274]) ).

thf(311,plain,
    ! [SV20: $i,SV60: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV60 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV60 ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[274]) ).

thf(312,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( sK6_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK21_SV46 @ SV20 ) )
              | ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK21_SV46 @ SV20 ) ) )
          | ~ ( ~ ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK21_SV46 @ SV20 ) )
              | ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK21_SV46 @ SV20 ) ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[275]) ).

thf(314,plain,
    ! [SV20: $i] :
      ( ( ( ! [SV65: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV65 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV65 ) ) )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[276]) ).

thf(315,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[276]) ).

thf(316,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( ~ ( ( sK6_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV47 )
              | ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV47 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV47 )
              | ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV47 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[277]) ).

thf(317,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( ! [SV66: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV66 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV66 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[278]) ).

thf(318,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[278]) ).

thf(319,plain,
    ! [SV20: $i,SV61: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV61 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV61 ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV61 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV61 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[279]) ).

thf(320,plain,
    ! [SV20: $i,SV61: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV61 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV61 ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[279]) ).

thf(321,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( sK6_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK22_SV49 @ SV20 ) )
              | ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK22_SV49 @ SV20 ) ) )
          | ~ ( ~ ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK22_SV49 @ SV20 ) )
              | ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK22_SV49 @ SV20 ) ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[280]) ).

thf(323,plain,
    ! [SV20: $i] :
      ( ( ( ! [SV67: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV67 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV67 ) ) )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[281]) ).

thf(324,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[281]) ).

thf(325,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( ~ ( ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV50 )
              | ( sK10_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV50 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV50 )
              | ~ ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV50 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[282]) ).

thf(326,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( ! [SV68: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV68 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV68 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[283]) ).

thf(327,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[283]) ).

thf(328,plain,
    ! [SV21: $i,SV62: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV62 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV62 ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV62 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV62 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[284]) ).

thf(329,plain,
    ! [SV21: $i,SV62: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV62 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV62 ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[284]) ).

thf(330,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK23_SV52 @ SV21 ) )
              | ( sK10_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK23_SV52 @ SV21 ) ) )
          | ~ ( ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK23_SV52 @ SV21 ) )
              | ~ ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK23_SV52 @ SV21 ) ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[285]) ).

thf(332,plain,
    ! [SV21: $i] :
      ( ( ( ! [SV69: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV69 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV69 ) ) )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[286]) ).

thf(333,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[286]) ).

thf(334,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( ~ ( ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV53 )
              | ( sK10_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV53 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV53 )
              | ~ ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV53 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[287]) ).

thf(335,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( ! [SV70: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV70 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV70 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[288]) ).

thf(336,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[288]) ).

thf(337,plain,
    ! [SV21: $i,SV63: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV63 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV63 ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV63 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV63 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[289]) ).

thf(338,plain,
    ! [SV21: $i,SV63: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV63 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV63 ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[289]) ).

thf(339,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK24_SV55 @ SV21 ) )
              | ( sK10_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK24_SV55 @ SV21 ) ) )
          | ~ ( ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK24_SV55 @ SV21 ) )
              | ~ ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK24_SV55 @ SV21 ) ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[290]) ).

thf(341,plain,
    ! [SV21: $i] :
      ( ( ( ! [SV71: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV71 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV71 ) ) )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[291]) ).

thf(342,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[291]) ).

thf(343,plain,
    ! [SV56: $i] :
      ( ( ( ~ ( ( sK11_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV56 )
              | ( sK13_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV56 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK11_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV56 )
              | ~ ( sK13_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV56 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[292]) ).

thf(346,plain,
    ! [SV58: $i] :
      ( ( ( ~ ( ( sK13_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV58 )
              | ( sK15_SY26
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV58 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK13_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV58 )
              | ~ ( sK15_SY26
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV58 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[296]) ).

thf(349,plain,
    ! [SV22: $i] :
      ( ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV31 @ SV22 ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV31 @ SV22 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[300]) ).

thf(350,plain,
    ! [SV22: $i] :
      ( ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV32 @ SV22 ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV32 @ SV22 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[301]) ).

thf(351,plain,
    ( ( ( sK14_SY25
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK18_SV33 )
      = $false )
    | ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK18_SV33 )
      = $false )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[302]) ).

thf(352,plain,
    ( ( ( sK15_SY26
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK19_SV34 )
      = $false )
    | ( ( sK11_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK19_SV34 )
      = $false )
    | ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[303]) ).

thf(354,plain,
    ( ( ( ~ ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK20_SV43 )
            | ( sK14_SY25
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK20_SV43 ) ) )
      = $false )
    | ( ( ~ ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK3_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[305]) ).

thf(355,plain,
    ( ( ( ~ ( ~ ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK20_SV43 )
            | ~ ( sK14_SY25
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK20_SV43 ) ) )
      = $false )
    | ( ( ~ ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK3_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[305]) ).

thf(357,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          | ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV44 )
              | ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV44 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[307]) ).

thf(358,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[308]) ).

thf(359,plain,
    ! [SV20: $i,SV60: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV60 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV60 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV60 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV60 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[310]) ).

thf(360,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( sK6_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK21_SV46 @ SV20 ) )
              | ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK21_SV46 @ SV20 ) ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[312]) ).

thf(361,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ~ ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK21_SV46 @ SV20 ) )
              | ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK21_SV46 @ SV20 ) ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[312]) ).

thf(363,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK27_SV65 @ SV20 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK27_SV65 @ SV20 ) ) )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[314]) ).

thf(364,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          | ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV47 )
              | ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV47 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[316]) ).

thf(365,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[317]) ).

thf(366,plain,
    ! [SV20: $i,SV61: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV61 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV61 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV61 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV61 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[319]) ).

thf(367,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( sK6_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK22_SV49 @ SV20 ) )
              | ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK22_SV49 @ SV20 ) ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[321]) ).

thf(368,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ~ ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK22_SV49 @ SV20 ) )
              | ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK22_SV49 @ SV20 ) ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[321]) ).

thf(370,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK28_SV67 @ SV20 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK28_SV67 @ SV20 ) ) )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[323]) ).

thf(371,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          | ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $false )
      | ( ( ~ ( ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV50 )
              | ~ ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV50 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[325]) ).

thf(372,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV74 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV74 ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[326]) ).

thf(373,plain,
    ! [SV21: $i,SV62: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV62 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV62 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV62 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV62 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[328]) ).

thf(374,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK23_SV52 @ SV21 ) )
              | ( sK10_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK23_SV52 @ SV21 ) ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[330]) ).

thf(375,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK23_SV52 @ SV21 ) )
              | ~ ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK23_SV52 @ SV21 ) ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[330]) ).

thf(377,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK29_SV69 @ SV21 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK29_SV69 @ SV21 ) ) )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[332]) ).

thf(378,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          | ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $false )
      | ( ( ~ ( ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV53 )
              | ~ ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV53 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[334]) ).

thf(379,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[335]) ).

thf(380,plain,
    ! [SV21: $i,SV63: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV63 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV63 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV63 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV63 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[337]) ).

thf(381,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( sK8_SY18
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK24_SV55 @ SV21 ) )
              | ( sK10_SY20
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK24_SV55 @ SV21 ) ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[339]) ).

thf(382,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK24_SV55 @ SV21 ) )
              | ~ ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK24_SV55 @ SV21 ) ) ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[339]) ).

thf(384,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK30_SV71 @ SV21 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK30_SV71 @ SV21 ) ) )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[341]) ).

thf(385,plain,
    ! [SV56: $i] :
      ( ( ( ( sK11_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV56 )
          | ( sK13_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV56 ) )
        = $false )
      | ( ( ~ ( ~ ( sK11_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV56 )
              | ~ ( sK13_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV56 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[343]) ).

thf(389,plain,
    ! [SV58: $i] :
      ( ( ( ( sK13_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV58 )
          | ( sK15_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV58 ) )
        = $false )
      | ( ( ~ ( ~ ( sK13_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV58 )
              | ~ ( sK15_SY26
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV58 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[346]) ).

thf(395,plain,
    ( ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK20_SV43 )
        | ( sK14_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK20_SV43 ) )
      = $true )
    | ( ( ~ ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK3_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[354]) ).

thf(396,plain,
    ( ( ( ~ ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK20_SV43 )
        | ~ ( sK14_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK20_SV43 ) )
      = $true )
    | ( ( ~ ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK3_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[355]) ).

thf(397,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV44 )
              | ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV44 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[357]) ).

thf(398,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV44 )
              | ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV44 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[357]) ).

thf(399,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV72 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV72 ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[358]) ).

thf(400,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[358]) ).

thf(401,plain,
    ! [SV20: $i,SV60: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV60 )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV60 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV60 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV60 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[359]) ).

thf(402,plain,
    ! [SV20: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK21_SV46 @ SV20 ) )
          | ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK21_SV46 @ SV20 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[360]) ).

thf(403,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK21_SV46 @ SV20 ) )
          | ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK21_SV46 @ SV20 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[361]) ).

thf(406,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK27_SV65 @ SV20 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK27_SV65 @ SV20 ) ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK27_SV65 @ SV20 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK27_SV65 @ SV20 ) ) ) )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[363]) ).

thf(408,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV47 )
              | ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV47 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[364]) ).

thf(409,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV47 )
              | ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV47 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[364]) ).

thf(410,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV73 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV73 ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[365]) ).

thf(411,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[365]) ).

thf(412,plain,
    ! [SV20: $i,SV61: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV61 )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV61 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV61 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV61 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[366]) ).

thf(413,plain,
    ! [SV20: $i] :
      ( ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK22_SV49 @ SV20 ) )
          | ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK22_SV49 @ SV20 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[367]) ).

thf(414,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK22_SV49 @ SV20 ) )
          | ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK22_SV49 @ SV20 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[368]) ).

thf(417,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK28_SV67 @ SV20 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK28_SV67 @ SV20 ) ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK28_SV67 @ SV20 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK28_SV67 @ SV20 ) ) ) )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[370]) ).

thf(419,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( ~ ( ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV50 )
              | ~ ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV50 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[371]) ).

thf(420,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( ~ ( ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV50 )
              | ~ ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV50 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[371]) ).

thf(421,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV74 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV74 ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV74 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV74 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[372]) ).

thf(422,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV74 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV74 ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[372]) ).

thf(423,plain,
    ! [SV21: $i,SV62: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV62 )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV62 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV62 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV62 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[373]) ).

thf(424,plain,
    ! [SV21: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK23_SV52 @ SV21 ) )
          | ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK23_SV52 @ SV21 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[374]) ).

thf(425,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV52 @ SV21 ) )
          | ~ ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV52 @ SV21 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[375]) ).

thf(428,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK29_SV69 @ SV21 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK29_SV69 @ SV21 ) ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK29_SV69 @ SV21 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK29_SV69 @ SV21 ) ) ) )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[377]) ).

thf(430,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( ~ ( ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV53 )
              | ~ ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV53 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[378]) ).

thf(431,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( ~ ( ~ ( sK8_SY18
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV53 )
              | ~ ( sK10_SY20
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV53 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[378]) ).

thf(432,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV75 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV75 ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[379]) ).

thf(433,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[379]) ).

thf(434,plain,
    ! [SV21: $i,SV63: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV63 )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV63 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV63 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV63 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[380]) ).

thf(435,plain,
    ! [SV21: $i] :
      ( ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK24_SV55 @ SV21 ) )
          | ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK24_SV55 @ SV21 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[381]) ).

thf(436,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV55 @ SV21 ) )
          | ~ ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV55 @ SV21 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[382]) ).

thf(439,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK30_SV71 @ SV21 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK30_SV71 @ SV21 ) ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK30_SV71 @ SV21 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK30_SV71 @ SV21 ) ) ) )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[384]) ).

thf(441,plain,
    ! [SV56: $i] :
      ( ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $false )
      | ( ( ~ ( ~ ( sK11_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV56 )
              | ~ ( sK13_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV56 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[385]) ).

thf(442,plain,
    ! [SV56: $i] :
      ( ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $false )
      | ( ( ~ ( ~ ( sK11_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV56 )
              | ~ ( sK13_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV56 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[385]) ).

thf(445,plain,
    ! [SV58: $i] :
      ( ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $false )
      | ( ( ~ ( ~ ( sK13_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV58 )
              | ~ ( sK15_SY26
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV58 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[389]) ).

thf(446,plain,
    ! [SV58: $i] :
      ( ( ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $false )
      | ( ( ~ ( ~ ( sK13_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV58 )
              | ~ ( sK15_SY26
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV58 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[389]) ).

thf(451,plain,
    ( ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK20_SV43 )
      = $true )
    | ( ( sK14_SY25
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK20_SV43 )
      = $true )
    | ( ( ~ ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK3_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[395]) ).

thf(452,plain,
    ( ( ( ~ ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK20_SV43 ) )
      = $true )
    | ( ( ~ ( sK14_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK20_SV43 ) )
      = $true )
    | ( ( ~ ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK3_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[396]) ).

thf(453,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( ~ ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV44 )
          | ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV44 ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[397]) ).

thf(454,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( ~ ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV44 )
          | ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV44 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[398]) ).

thf(455,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV72 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV72 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[399]) ).

thf(456,plain,
    ! [SV20: $i,SV60: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV60 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV60 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[401]) ).

thf(457,plain,
    ! [SV20: $i,SV60: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV60 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV60 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[401]) ).

thf(458,plain,
    ! [SV20: $i] :
      ( ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[402]) ).

thf(459,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK21_SV46 @ SV20 ) ) )
        = $true )
      | ( ( ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK21_SV46 @ SV20 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[403]) ).

thf(461,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK27_SV65 @ SV20 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK27_SV65 @ SV20 ) ) ) )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[406]) ).

thf(462,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK27_SV65 @ SV20 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK27_SV65 @ SV20 ) ) ) )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[406]) ).

thf(463,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( ~ ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV47 )
          | ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV47 ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[408]) ).

thf(464,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( ~ ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV47 )
          | ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV47 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[409]) ).

thf(465,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV73 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV73 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[410]) ).

thf(466,plain,
    ! [SV20: $i,SV61: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV61 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV61 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[412]) ).

thf(467,plain,
    ! [SV20: $i,SV61: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV61 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV61 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[412]) ).

thf(468,plain,
    ! [SV20: $i] :
      ( ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[413]) ).

thf(469,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK22_SV49 @ SV20 ) ) )
        = $true )
      | ( ( ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK22_SV49 @ SV20 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[414]) ).

thf(471,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK28_SV67 @ SV20 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK28_SV67 @ SV20 ) ) ) )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[417]) ).

thf(472,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK28_SV67 @ SV20 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK28_SV67 @ SV20 ) ) ) )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[417]) ).

thf(473,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV50 )
          | ~ ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV50 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[419]) ).

thf(474,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV50 )
          | ~ ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV50 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[420]) ).

thf(475,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV74 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV74 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV74 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV74 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[421]) ).

thf(476,plain,
    ! [SV21: $i,SV62: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV62 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV62 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[423]) ).

thf(477,plain,
    ! [SV21: $i,SV62: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV62 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV62 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[423]) ).

thf(478,plain,
    ! [SV21: $i] :
      ( ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[424]) ).

thf(479,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV52 @ SV21 ) ) )
        = $true )
      | ( ( ~ ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV52 @ SV21 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[425]) ).

thf(481,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK29_SV69 @ SV21 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK29_SV69 @ SV21 ) ) ) )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[428]) ).

thf(482,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK29_SV69 @ SV21 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK29_SV69 @ SV21 ) ) ) )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[428]) ).

thf(483,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV53 )
          | ~ ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV53 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[430]) ).

thf(484,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV53 )
          | ~ ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV53 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[431]) ).

thf(485,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV75 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV75 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[432]) ).

thf(486,plain,
    ! [SV21: $i,SV63: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV63 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV63 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[434]) ).

thf(487,plain,
    ! [SV21: $i,SV63: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV63 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV63 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[434]) ).

thf(488,plain,
    ! [SV21: $i] :
      ( ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[435]) ).

thf(489,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV55 @ SV21 ) ) )
        = $true )
      | ( ( ~ ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV55 @ SV21 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[436]) ).

thf(491,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK30_SV71 @ SV21 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK30_SV71 @ SV21 ) ) ) )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[439]) ).

thf(492,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK30_SV71 @ SV21 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK30_SV71 @ SV21 ) ) ) )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[439]) ).

thf(493,plain,
    ! [SV56: $i] :
      ( ( ( ~ ( sK11_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV56 )
          | ~ ( sK13_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV56 ) )
        = $false )
      | ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[441]) ).

thf(494,plain,
    ! [SV56: $i] :
      ( ( ( ~ ( sK11_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV56 )
          | ~ ( sK13_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV56 ) )
        = $false )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[442]) ).

thf(497,plain,
    ! [SV58: $i] :
      ( ( ( ~ ( sK13_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV58 )
          | ~ ( sK15_SY26
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV58 ) )
        = $false )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[445]) ).

thf(498,plain,
    ! [SV58: $i] :
      ( ( ( ~ ( sK13_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV58 )
          | ~ ( sK15_SY26
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV58 ) )
        = $false )
      | ( ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[446]) ).

thf(505,plain,
    ( ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK14_SY25
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK20_SV43 )
      = $true )
    | ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK20_SV43 )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[451]) ).

thf(506,plain,
    ( ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK20_SV43 )
      = $false )
    | ( ( ~ ( sK14_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK20_SV43 ) )
      = $true )
    | ( ( ~ ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK3_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[452]) ).

thf(508,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV44 ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[453]) ).

thf(509,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( ~ ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV44 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[454]) ).

thf(511,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV72 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[455]) ).

thf(512,plain,
    ! [SV20: $i,SV60: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV60 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV60 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[456]) ).

thf(513,plain,
    ! [SV20: $i,SV60: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV60 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV60 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[457]) ).

thf(514,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[458]) ).

thf(515,plain,
    ! [SV20: $i] :
      ( ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK21_SV46 @ SV20 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[459]) ).

thf(518,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK27_SV65 @ SV20 ) )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK27_SV65 @ SV20 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[461]) ).

thf(519,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV65 @ SV20 ) )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV65 @ SV20 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[462]) ).

thf(521,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV47 ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[463]) ).

thf(522,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( ~ ( sK6_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV47 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[464]) ).

thf(524,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[465]) ).

thf(525,plain,
    ! [SV20: $i,SV61: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV61 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV61 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[466]) ).

thf(526,plain,
    ! [SV20: $i,SV61: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV61 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV61 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[467]) ).

thf(527,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[468]) ).

thf(528,plain,
    ! [SV20: $i] :
      ( ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK22_SV49 @ SV20 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[469]) ).

thf(531,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK28_SV67 @ SV20 ) )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK28_SV67 @ SV20 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[471]) ).

thf(532,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV67 @ SV20 ) )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV67 @ SV20 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[472]) ).

thf(534,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( ~ ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV50 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[473]) ).

thf(535,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV50 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[474]) ).

thf(537,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV74 )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV74 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV74 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV74 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[475]) ).

thf(538,plain,
    ! [SV21: $i,SV62: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV62 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV62 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[476]) ).

thf(539,plain,
    ! [SV21: $i,SV62: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV62 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV62 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[477]) ).

thf(540,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[478]) ).

thf(541,plain,
    ! [SV21: $i] :
      ( ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( ~ ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV52 @ SV21 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[479]) ).

thf(544,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK29_SV69 @ SV21 ) )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK29_SV69 @ SV21 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[481]) ).

thf(545,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV69 @ SV21 ) )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV69 @ SV21 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[482]) ).

thf(547,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( ~ ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV53 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[483]) ).

thf(548,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( ~ ( sK8_SY18
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV53 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[484]) ).

thf(550,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV75 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[485]) ).

thf(551,plain,
    ! [SV21: $i,SV63: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV63 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV63 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[486]) ).

thf(552,plain,
    ! [SV21: $i,SV63: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV63 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV63 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[487]) ).

thf(553,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[488]) ).

thf(554,plain,
    ! [SV21: $i] :
      ( ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( ~ ( sK10_SY20
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV55 @ SV21 ) ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[489]) ).

thf(557,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK30_SV71 @ SV21 ) )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK30_SV71 @ SV21 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[491]) ).

thf(558,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK30_SV71 @ SV21 ) )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK30_SV71 @ SV21 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[492]) ).

thf(560,plain,
    ! [SV56: $i] :
      ( ( ( ~ ( sK13_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV56 ) )
        = $false )
      | ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[493]) ).

thf(561,plain,
    ! [SV56: $i] :
      ( ( ( ~ ( sK11_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV56 ) )
        = $false )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[494]) ).

thf(566,plain,
    ! [SV58: $i] :
      ( ( ( ~ ( sK15_SY26
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV58 ) )
        = $false )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[497]) ).

thf(567,plain,
    ! [SV58: $i] :
      ( ( ( ~ ( sK13_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV58 ) )
        = $false )
      | ( ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[498]) ).

thf(575,plain,
    ( ( ( sK14_SY25
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK20_SV43 )
      = $false )
    | ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK20_SV43 )
      = $false )
    | ( ( ~ ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK3_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[506]) ).

thf(577,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[508]) ).

thf(578,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[509]) ).

thf(580,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[511]) ).

thf(581,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV72 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[511]) ).

thf(583,plain,
    ! [SV20: $i,SV60: $i] :
      ( ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV60 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[512]) ).

thf(584,plain,
    ! [SV20: $i,SV60: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV60 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[513]) ).

thf(586,plain,
    ! [SV20: $i] :
      ( ( ( ! [SV80: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV80 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV80 ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[514]) ).

thf(587,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[514]) ).

thf(588,plain,
    ! [SV20: $i] :
      ( ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[515]) ).

thf(591,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV65 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV65 @ SV20 ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[518]) ).

thf(592,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV65 @ SV20 ) ) )
        = $true )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV65 @ SV20 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[519]) ).

thf(594,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[521]) ).

thf(595,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[522]) ).

thf(597,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[524]) ).

thf(598,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[524]) ).

thf(600,plain,
    ! [SV20: $i,SV61: $i] :
      ( ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV61 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[525]) ).

thf(601,plain,
    ! [SV20: $i,SV61: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV61 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[526]) ).

thf(603,plain,
    ! [SV20: $i] :
      ( ( ( ! [SV81: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV81 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV81 ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[527]) ).

thf(604,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[527]) ).

thf(605,plain,
    ! [SV20: $i] :
      ( ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[528]) ).

thf(608,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV67 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV67 @ SV20 ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[531]) ).

thf(609,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV67 @ SV20 ) ) )
        = $true )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV67 @ SV20 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[532]) ).

thf(611,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[534]) ).

thf(612,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[535]) ).

thf(614,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV74 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV74 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[537]) ).

thf(615,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV74 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV74 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[537]) ).

thf(617,plain,
    ! [SV21: $i,SV62: $i] :
      ( ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV62 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[538]) ).

thf(618,plain,
    ! [SV21: $i,SV62: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV62 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[539]) ).

thf(620,plain,
    ! [SV21: $i] :
      ( ( ( ! [SV82: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV82 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV82 ) ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[540]) ).

thf(621,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[540]) ).

thf(622,plain,
    ! [SV21: $i] :
      ( ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[541]) ).

thf(625,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV69 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV69 @ SV21 ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[544]) ).

thf(626,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV69 @ SV21 ) ) )
        = $true )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV69 @ SV21 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[545]) ).

thf(628,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[547]) ).

thf(629,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[548]) ).

thf(631,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[550]) ).

thf(632,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV75 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[550]) ).

thf(634,plain,
    ! [SV21: $i,SV63: $i] :
      ( ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV63 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[551]) ).

thf(635,plain,
    ! [SV21: $i,SV63: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV63 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[552]) ).

thf(637,plain,
    ! [SV21: $i] :
      ( ( ( ! [SV83: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV83 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV83 ) ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[553]) ).

thf(638,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[553]) ).

thf(639,plain,
    ! [SV21: $i] :
      ( ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[554]) ).

thf(642,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV71 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV71 @ SV21 ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[557]) ).

thf(643,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK30_SV71 @ SV21 ) ) )
        = $true )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK30_SV71 @ SV21 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[558]) ).

thf(645,plain,
    ! [SV56: $i] :
      ( ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $true )
      | ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[560]) ).

thf(646,plain,
    ! [SV56: $i] :
      ( ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $true )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[561]) ).

thf(650,plain,
    ! [SV58: $i] :
      ( ( ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $true )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[566]) ).

thf(651,plain,
    ! [SV58: $i] :
      ( ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $true )
      | ( ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[567]) ).

thf(654,plain,
    ( ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK20_SV43 )
      = $false )
    | ( ( sK14_SY25
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK20_SV43 )
      = $false )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[575]) ).

thf(657,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( ! [SV85: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV85 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV85 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[577]) ).

thf(658,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[577]) ).

thf(659,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( ! [SV86: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV86 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV86 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[578]) ).

thf(660,plain,
    ! [SV20: $i,SV44: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[578]) ).

thf(663,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV72 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV72 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[580]) ).

thf(664,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV72 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV72 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[581]) ).

thf(666,plain,
    ! [SV20: $i,SV60: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[583]) ).

thf(667,plain,
    ! [SV20: $i,SV60: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[584]) ).

thf(669,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK35_SV80 @ SV20 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK35_SV80 @ SV20 ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[586]) ).

thf(670,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[588]) ).

thf(673,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV65 @ SV20 ) )
        = $false )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV65 @ SV20 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[592]) ).

thf(676,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( ! [SV89: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV89 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV89 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[594]) ).

thf(677,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[594]) ).

thf(678,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( ! [SV90: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV90 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV90 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[595]) ).

thf(679,plain,
    ! [SV20: $i,SV47: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[595]) ).

thf(682,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV73 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV73 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[597]) ).

thf(683,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV73 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV73 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[598]) ).

thf(685,plain,
    ! [SV20: $i,SV61: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[600]) ).

thf(686,plain,
    ! [SV20: $i,SV61: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[601]) ).

thf(688,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK36_SV81 @ SV20 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK36_SV81 @ SV20 ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[603]) ).

thf(689,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[605]) ).

thf(692,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV67 @ SV20 ) )
        = $false )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV67 @ SV20 ) ) )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[609]) ).

thf(695,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( ! [SV93: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV93 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV93 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[611]) ).

thf(696,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[611]) ).

thf(697,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( ! [SV94: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV94 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV94 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[612]) ).

thf(698,plain,
    ! [SV21: $i,SV50: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[612]) ).

thf(701,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV74 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV74 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[614]) ).

thf(702,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV74 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV74 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[615]) ).

thf(704,plain,
    ! [SV21: $i,SV62: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[617]) ).

thf(705,plain,
    ! [SV21: $i,SV62: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[618]) ).

thf(707,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK37_SV82 @ SV21 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK37_SV82 @ SV21 ) ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[620]) ).

thf(708,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[622]) ).

thf(711,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV69 @ SV21 ) )
        = $false )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV69 @ SV21 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[626]) ).

thf(714,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( ! [SV97: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV97 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV97 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[628]) ).

thf(715,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[628]) ).

thf(716,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( ! [SV98: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV98 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV98 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[629]) ).

thf(717,plain,
    ! [SV21: $i,SV53: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[629]) ).

thf(720,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV75 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV75 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[631]) ).

thf(721,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV75 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV75 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[632]) ).

thf(723,plain,
    ! [SV21: $i,SV63: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[634]) ).

thf(724,plain,
    ! [SV21: $i,SV63: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[635]) ).

thf(726,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK38_SV83 @ SV21 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK38_SV83 @ SV21 ) ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[637]) ).

thf(727,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[639]) ).

thf(730,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV71 @ SV21 ) )
        = $false )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK30_SV71 @ SV21 ) ) )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[643]) ).

thf(734,plain,
    ! [SV20: $i,SV44: $i,SV101: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[657]) ).

thf(735,plain,
    ! [SV20: $i,SV44: $i,SV102: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV102 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV102 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[659]) ).

thf(738,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV72 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[663]) ).

thf(739,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV72 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[664]) ).

thf(741,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK35_SV80 @ SV20 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK35_SV80 @ SV20 ) ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK35_SV80 @ SV20 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK35_SV80 @ SV20 ) ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[669]) ).

thf(743,plain,
    ! [SV20: $i] :
      ( ( ( ! [SV104: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV104 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV104 ) ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[670]) ).

thf(744,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[670]) ).

thf(747,plain,
    ! [SV20: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV65 @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV65 @ SV20 ) )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[673]) ).

thf(749,plain,
    ! [SV20: $i,SV47: $i,SV106: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV106 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV106 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[676]) ).

thf(750,plain,
    ! [SV20: $i,SV47: $i,SV107: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV107 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV107 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[678]) ).

thf(753,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV73 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[682]) ).

thf(754,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV73 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[683]) ).

thf(756,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK36_SV81 @ SV20 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK36_SV81 @ SV20 ) ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK36_SV81 @ SV20 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK36_SV81 @ SV20 ) ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[688]) ).

thf(758,plain,
    ! [SV20: $i] :
      ( ( ( ! [SV109: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV109 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV109 ) ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[689]) ).

thf(759,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[689]) ).

thf(762,plain,
    ! [SV20: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV67 @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV67 @ SV20 ) )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[692]) ).

thf(764,plain,
    ! [SV21: $i,SV50: $i,SV111: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV111 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV111 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[695]) ).

thf(765,plain,
    ! [SV21: $i,SV50: $i,SV112: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV112 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV112 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[697]) ).

thf(768,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV74 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[701]) ).

thf(769,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV74 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[702]) ).

thf(771,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK37_SV82 @ SV21 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK37_SV82 @ SV21 ) ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK37_SV82 @ SV21 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK37_SV82 @ SV21 ) ) ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[707]) ).

thf(773,plain,
    ! [SV21: $i] :
      ( ( ( ! [SV114: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV114 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV114 ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[708]) ).

thf(774,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[708]) ).

thf(777,plain,
    ! [SV21: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV69 @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV69 @ SV21 ) )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[711]) ).

thf(779,plain,
    ! [SV21: $i,SV53: $i,SV116: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV116 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV116 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[714]) ).

thf(780,plain,
    ! [SV21: $i,SV53: $i,SV117: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV117 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV117 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[716]) ).

thf(783,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV75 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[720]) ).

thf(784,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV75 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[721]) ).

thf(786,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK38_SV83 @ SV21 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK38_SV83 @ SV21 ) ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK38_SV83 @ SV21 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK38_SV83 @ SV21 ) ) ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[726]) ).

thf(788,plain,
    ! [SV21: $i] :
      ( ( ( ! [SV119: $i] :
              ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV119 )
              = ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV119 ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[727]) ).

thf(789,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[727]) ).

thf(792,plain,
    ! [SV21: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV71 @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV71 @ SV21 ) )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[730]) ).

thf(795,plain,
    ! [SV20: $i,SV44: $i,SV101: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV101 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV101 ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[734]) ).

thf(796,plain,
    ! [SV20: $i,SV44: $i,SV101: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[734]) ).

thf(797,plain,
    ! [SV20: $i,SV44: $i,SV102: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV102 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV102 ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV102 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV102 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[735]) ).

thf(798,plain,
    ! [SV20: $i,SV44: $i,SV102: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV102 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV102 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[735]) ).

thf(802,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[738]) ).

thf(803,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[739]) ).

thf(805,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK35_SV80 @ SV20 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK35_SV80 @ SV20 ) ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[741]) ).

thf(806,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK35_SV80 @ SV20 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK35_SV80 @ SV20 ) ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[741]) ).

thf(807,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK39_SV104 @ SV20 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK39_SV104 @ SV20 ) ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[743]) ).

thf(811,plain,
    ! [SV20: $i,SV47: $i,SV106: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV106 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV106 ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV106 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV106 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[749]) ).

thf(812,plain,
    ! [SV20: $i,SV47: $i,SV106: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV106 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV106 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[749]) ).

thf(813,plain,
    ! [SV20: $i,SV47: $i,SV107: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV107 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV107 ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV107 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV107 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[750]) ).

thf(814,plain,
    ! [SV20: $i,SV47: $i,SV107: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV107 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV107 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[750]) ).

thf(818,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[753]) ).

thf(819,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[754]) ).

thf(821,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK36_SV81 @ SV20 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK36_SV81 @ SV20 ) ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[756]) ).

thf(822,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK36_SV81 @ SV20 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK36_SV81 @ SV20 ) ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[756]) ).

thf(823,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK40_SV109 @ SV20 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK40_SV109 @ SV20 ) ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[758]) ).

thf(827,plain,
    ! [SV21: $i,SV50: $i,SV111: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV111 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV111 ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV111 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV111 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[764]) ).

thf(828,plain,
    ! [SV21: $i,SV50: $i,SV111: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV111 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV111 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[764]) ).

thf(829,plain,
    ! [SV21: $i,SV50: $i,SV112: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV112 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV112 ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV112 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV112 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[765]) ).

thf(830,plain,
    ! [SV21: $i,SV50: $i,SV112: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV112 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV112 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[765]) ).

thf(834,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[768]) ).

thf(835,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[769]) ).

thf(837,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK37_SV82 @ SV21 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK37_SV82 @ SV21 ) ) ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[771]) ).

thf(838,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK37_SV82 @ SV21 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK37_SV82 @ SV21 ) ) ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[771]) ).

thf(839,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK41_SV114 @ SV21 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK41_SV114 @ SV21 ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[773]) ).

thf(843,plain,
    ! [SV21: $i,SV53: $i,SV116: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV116 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV116 ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[779]) ).

thf(844,plain,
    ! [SV21: $i,SV53: $i,SV116: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV116 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV116 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[779]) ).

thf(845,plain,
    ! [SV21: $i,SV53: $i,SV117: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV117 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV117 ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[780]) ).

thf(846,plain,
    ! [SV21: $i,SV53: $i,SV117: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV117 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV117 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[780]) ).

thf(850,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[783]) ).

thf(851,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[784]) ).

thf(853,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK38_SV83 @ SV21 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK38_SV83 @ SV21 ) ) ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[786]) ).

thf(854,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK38_SV83 @ SV21 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK38_SV83 @ SV21 ) ) ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[786]) ).

thf(855,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK42_SV119 @ SV21 ) )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK42_SV119 @ SV21 ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[788]) ).

thf(858,plain,
    ! [SV20: $i,SV44: $i,SV101: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV101 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV101 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[795]) ).

thf(859,plain,
    ! [SV20: $i,SV44: $i,SV102: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV102 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV102 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV102 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV102 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[797]) ).

thf(861,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK35_SV80 @ SV20 ) )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK35_SV80 @ SV20 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[805]) ).

thf(862,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK35_SV80 @ SV20 ) )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK35_SV80 @ SV20 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[806]) ).

thf(863,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK39_SV104 @ SV20 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK39_SV104 @ SV20 ) ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK39_SV104 @ SV20 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK39_SV104 @ SV20 ) ) ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[807]) ).

thf(867,plain,
    ! [SV20: $i,SV47: $i,SV106: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV106 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV106 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV106 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV106 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[811]) ).

thf(868,plain,
    ! [SV20: $i,SV47: $i,SV107: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV107 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV107 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV107 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV107 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[813]) ).

thf(870,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK36_SV81 @ SV20 ) )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK36_SV81 @ SV20 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[821]) ).

thf(871,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK36_SV81 @ SV20 ) )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK36_SV81 @ SV20 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[822]) ).

thf(872,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK40_SV109 @ SV20 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK40_SV109 @ SV20 ) ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK40_SV109 @ SV20 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK40_SV109 @ SV20 ) ) ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[823]) ).

thf(876,plain,
    ! [SV21: $i,SV50: $i,SV111: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV111 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV111 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV111 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV111 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[827]) ).

thf(877,plain,
    ! [SV21: $i,SV50: $i,SV112: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV112 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV112 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV112 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV112 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[829]) ).

thf(879,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK37_SV82 @ SV21 ) )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK37_SV82 @ SV21 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[837]) ).

thf(880,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK37_SV82 @ SV21 ) )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK37_SV82 @ SV21 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[838]) ).

thf(881,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK41_SV114 @ SV21 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK41_SV114 @ SV21 ) ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK41_SV114 @ SV21 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK41_SV114 @ SV21 ) ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[839]) ).

thf(885,plain,
    ! [SV21: $i,SV53: $i,SV116: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV116 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV116 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[843]) ).

thf(886,plain,
    ! [SV21: $i,SV53: $i,SV117: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV117 )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV117 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[845]) ).

thf(888,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK38_SV83 @ SV21 ) )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK38_SV83 @ SV21 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[853]) ).

thf(889,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK38_SV83 @ SV21 ) )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK38_SV83 @ SV21 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[854]) ).

thf(890,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK42_SV119 @ SV21 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK42_SV119 @ SV21 ) ) )
          | ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK42_SV119 @ SV21 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK42_SV119 @ SV21 ) ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[855]) ).

thf(894,plain,
    ! [SV20: $i,SV44: $i,SV101: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[858]) ).

thf(895,plain,
    ! [SV20: $i,SV44: $i,SV102: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV102 )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV102 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV102 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV102 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[859]) ).

thf(897,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV80 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV80 @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[861]) ).

thf(898,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK35_SV80 @ SV20 ) ) )
        = $true )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK35_SV80 @ SV20 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[862]) ).

thf(899,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK39_SV104 @ SV20 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK39_SV104 @ SV20 ) ) ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[863]) ).

thf(900,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK39_SV104 @ SV20 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK39_SV104 @ SV20 ) ) ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[863]) ).

thf(902,plain,
    ! [SV20: $i,SV47: $i,SV106: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV106 )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV106 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV106 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV106 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[867]) ).

thf(903,plain,
    ! [SV20: $i,SV47: $i,SV107: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV107 )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV107 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV107 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV107 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[868]) ).

thf(905,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK36_SV81 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK36_SV81 @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[870]) ).

thf(906,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK36_SV81 @ SV20 ) ) )
        = $true )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK36_SV81 @ SV20 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[871]) ).

thf(907,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK40_SV109 @ SV20 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK40_SV109 @ SV20 ) ) ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[872]) ).

thf(908,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK40_SV109 @ SV20 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK40_SV109 @ SV20 ) ) ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[872]) ).

thf(910,plain,
    ! [SV21: $i,SV50: $i,SV111: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV111 )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV111 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV111 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV111 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[876]) ).

thf(911,plain,
    ! [SV21: $i,SV50: $i,SV112: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV112 )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV112 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV112 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV112 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[877]) ).

thf(913,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK37_SV82 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK37_SV82 @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[879]) ).

thf(914,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK37_SV82 @ SV21 ) ) )
        = $true )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK37_SV82 @ SV21 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[880]) ).

thf(915,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK41_SV114 @ SV21 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK41_SV114 @ SV21 ) ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[881]) ).

thf(916,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK41_SV114 @ SV21 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK41_SV114 @ SV21 ) ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[881]) ).

thf(918,plain,
    ! [SV21: $i,SV53: $i,SV116: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV116 )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV116 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[885]) ).

thf(919,plain,
    ! [SV21: $i,SV53: $i,SV117: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV117 )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV117 ) )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[886]) ).

thf(921,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV83 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV83 @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[888]) ).

thf(922,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK38_SV83 @ SV21 ) ) )
        = $true )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK38_SV83 @ SV21 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[889]) ).

thf(923,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ( sK1_SY8
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK42_SV119 @ SV21 ) )
              | ( sK2_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK42_SV119 @ SV21 ) ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[890]) ).

thf(924,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK42_SV119 @ SV21 ) )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK42_SV119 @ SV21 ) ) ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[890]) ).

thf(927,plain,
    ! [SV20: $i,SV44: $i,SV101: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[894]) ).

thf(928,plain,
    ! [SV20: $i,SV44: $i,SV101: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[894]) ).

thf(929,plain,
    ! [SV20: $i,SV44: $i,SV102: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV102 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV102 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV102 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[895]) ).

thf(930,plain,
    ! [SV20: $i,SV44: $i,SV102: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV102 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV102 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV102 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[895]) ).

thf(933,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV80 @ SV20 ) )
        = $false )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK35_SV80 @ SV20 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[898]) ).

thf(934,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK39_SV104 @ SV20 ) )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK39_SV104 @ SV20 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[899]) ).

thf(935,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK39_SV104 @ SV20 ) )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK39_SV104 @ SV20 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[900]) ).

thf(938,plain,
    ! [SV20: $i,SV47: $i,SV106: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV106 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV106 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV106 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[902]) ).

thf(939,plain,
    ! [SV20: $i,SV47: $i,SV106: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV106 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV106 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV106 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[902]) ).

thf(940,plain,
    ! [SV20: $i,SV47: $i,SV107: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV107 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV107 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV107 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[903]) ).

thf(941,plain,
    ! [SV20: $i,SV47: $i,SV107: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV107 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV107 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV107 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[903]) ).

thf(944,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK36_SV81 @ SV20 ) )
        = $false )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK36_SV81 @ SV20 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[906]) ).

thf(945,plain,
    ! [SV20: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK40_SV109 @ SV20 ) )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK40_SV109 @ SV20 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[907]) ).

thf(946,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK40_SV109 @ SV20 ) )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK40_SV109 @ SV20 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[908]) ).

thf(949,plain,
    ! [SV21: $i,SV50: $i,SV111: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV111 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV111 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV111 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[910]) ).

thf(950,plain,
    ! [SV21: $i,SV50: $i,SV111: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV111 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV111 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV111 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[910]) ).

thf(951,plain,
    ! [SV21: $i,SV50: $i,SV112: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV112 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV112 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV112 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[911]) ).

thf(952,plain,
    ! [SV21: $i,SV50: $i,SV112: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV112 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV112 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV112 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[911]) ).

thf(955,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK37_SV82 @ SV21 ) )
        = $false )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK37_SV82 @ SV21 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[914]) ).

thf(956,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK41_SV114 @ SV21 ) )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK41_SV114 @ SV21 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[915]) ).

thf(957,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK41_SV114 @ SV21 ) )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK41_SV114 @ SV21 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[916]) ).

thf(960,plain,
    ! [SV21: $i,SV53: $i,SV116: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[918]) ).

thf(961,plain,
    ! [SV21: $i,SV53: $i,SV116: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV116 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[918]) ).

thf(962,plain,
    ! [SV21: $i,SV53: $i,SV117: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[919]) ).

thf(963,plain,
    ! [SV21: $i,SV53: $i,SV117: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( ~ ( ~ ( sK1_SY8
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 )
              | ~ ( sK2_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV117 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[919]) ).

thf(966,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV83 @ SV21 ) )
        = $false )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK38_SV83 @ SV21 ) ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[922]) ).

thf(967,plain,
    ! [SV21: $i] :
      ( ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK42_SV119 @ SV21 ) )
          | ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK42_SV119 @ SV21 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[923]) ).

thf(968,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK42_SV119 @ SV21 ) )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK42_SV119 @ SV21 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[924]) ).

thf(971,plain,
    ! [SV20: $i,SV44: $i,SV101: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV101 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV101 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[927]) ).

thf(972,plain,
    ! [SV20: $i,SV44: $i,SV101: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV101 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV101 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[928]) ).

thf(973,plain,
    ! [SV20: $i,SV44: $i,SV102: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV102 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV102 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV102 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[929]) ).

thf(974,plain,
    ! [SV20: $i,SV44: $i,SV102: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV102 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV102 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV102 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[930]) ).

thf(977,plain,
    ! [SV20: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV80 @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV80 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[933]) ).

thf(978,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV104 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV104 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[934]) ).

thf(979,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK39_SV104 @ SV20 ) ) )
        = $true )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK39_SV104 @ SV20 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[935]) ).

thf(982,plain,
    ! [SV20: $i,SV47: $i,SV106: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV106 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV106 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV106 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[938]) ).

thf(983,plain,
    ! [SV20: $i,SV47: $i,SV106: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV106 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV106 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV106 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[939]) ).

thf(984,plain,
    ! [SV20: $i,SV47: $i,SV107: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV107 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV107 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV107 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[940]) ).

thf(985,plain,
    ! [SV20: $i,SV47: $i,SV107: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV107 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV107 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV107 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[941]) ).

thf(988,plain,
    ! [SV20: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK36_SV81 @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK36_SV81 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[944]) ).

thf(989,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK40_SV109 @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK40_SV109 @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[945]) ).

thf(990,plain,
    ! [SV20: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK40_SV109 @ SV20 ) ) )
        = $true )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK40_SV109 @ SV20 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[946]) ).

thf(993,plain,
    ! [SV21: $i,SV50: $i,SV111: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV111 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV111 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV111 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[949]) ).

thf(994,plain,
    ! [SV21: $i,SV50: $i,SV111: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV111 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV111 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV111 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[950]) ).

thf(995,plain,
    ! [SV21: $i,SV50: $i,SV112: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV112 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV112 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV112 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[951]) ).

thf(996,plain,
    ! [SV21: $i,SV50: $i,SV112: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV112 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV112 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV112 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[952]) ).

thf(999,plain,
    ! [SV21: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK37_SV82 @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK37_SV82 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[955]) ).

thf(1000,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK41_SV114 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK41_SV114 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[956]) ).

thf(1001,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK41_SV114 @ SV21 ) ) )
        = $true )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK41_SV114 @ SV21 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[957]) ).

thf(1004,plain,
    ! [SV21: $i,SV53: $i,SV116: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV116 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV116 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[960]) ).

thf(1005,plain,
    ! [SV21: $i,SV53: $i,SV116: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV116 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV116 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[961]) ).

thf(1006,plain,
    ! [SV21: $i,SV53: $i,SV117: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV117 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV117 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[962]) ).

thf(1007,plain,
    ! [SV21: $i,SV53: $i,SV117: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV117 )
          | ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV117 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[963]) ).

thf(1010,plain,
    ! [SV21: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV83 @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK38_SV83 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[966]) ).

thf(1011,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK42_SV119 @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK42_SV119 @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[967]) ).

thf(1012,plain,
    ! [SV21: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK42_SV119 @ SV21 ) ) )
        = $true )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK42_SV119 @ SV21 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[968]) ).

thf(1018,plain,
    ! [SV20: $i,SV44: $i,SV101: $i] :
      ( ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV101 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[971]) ).

thf(1019,plain,
    ! [SV20: $i,SV44: $i,SV101: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV101 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[972]) ).

thf(1022,plain,
    ! [SV20: $i,SV44: $i,SV102: $i] :
      ( ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV102 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV102 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[973]) ).

thf(1023,plain,
    ! [SV20: $i,SV44: $i,SV102: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV102 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV102 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[974]) ).

thf(1029,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV104 @ SV20 ) )
        = $false )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK39_SV104 @ SV20 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[979]) ).

thf(1035,plain,
    ! [SV20: $i,SV47: $i,SV106: $i] :
      ( ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV106 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV106 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[982]) ).

thf(1036,plain,
    ! [SV20: $i,SV47: $i,SV106: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV106 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV106 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[983]) ).

thf(1039,plain,
    ! [SV20: $i,SV47: $i,SV107: $i] :
      ( ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV107 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV107 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[984]) ).

thf(1040,plain,
    ! [SV20: $i,SV47: $i,SV107: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV107 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV107 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[985]) ).

thf(1046,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK40_SV109 @ SV20 ) )
        = $false )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK40_SV109 @ SV20 ) ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[990]) ).

thf(1052,plain,
    ! [SV21: $i,SV50: $i,SV111: $i] :
      ( ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV111 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV111 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[993]) ).

thf(1053,plain,
    ! [SV21: $i,SV50: $i,SV111: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV111 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV111 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[994]) ).

thf(1056,plain,
    ! [SV21: $i,SV50: $i,SV112: $i] :
      ( ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV112 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV112 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[995]) ).

thf(1057,plain,
    ! [SV21: $i,SV50: $i,SV112: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV112 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV112 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[996]) ).

thf(1063,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK41_SV114 @ SV21 ) )
        = $false )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK41_SV114 @ SV21 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1001]) ).

thf(1069,plain,
    ! [SV21: $i,SV53: $i,SV116: $i] :
      ( ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV116 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1004]) ).

thf(1070,plain,
    ! [SV21: $i,SV53: $i,SV116: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV116 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1005]) ).

thf(1073,plain,
    ! [SV21: $i,SV53: $i,SV117: $i] :
      ( ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV117 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1006]) ).

thf(1074,plain,
    ! [SV21: $i,SV53: $i,SV117: $i] :
      ( ( ( ~ ( sK1_SY8
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV117 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1007]) ).

thf(1080,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK42_SV119 @ SV21 ) )
        = $false )
      | ( ( ~ ( sK2_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK42_SV119 @ SV21 ) ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1012]) ).

thf(1086,plain,
    ! [SV20: $i,SV44: $i,SV101: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1018]) ).

thf(1087,plain,
    ! [SV20: $i,SV44: $i,SV101: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1019]) ).

thf(1090,plain,
    ! [SV20: $i,SV44: $i,SV102: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV102 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV102 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1022]) ).

thf(1091,plain,
    ! [SV20: $i,SV44: $i,SV102: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV102 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV102 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1023]) ).

thf(1097,plain,
    ! [SV20: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV104 @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK39_SV104 @ SV20 ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1029]) ).

thf(1103,plain,
    ! [SV20: $i,SV47: $i,SV106: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV106 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV106 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1035]) ).

thf(1104,plain,
    ! [SV20: $i,SV47: $i,SV106: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV106 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV106 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1036]) ).

thf(1107,plain,
    ! [SV20: $i,SV47: $i,SV107: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV107 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV107 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1039]) ).

thf(1108,plain,
    ! [SV20: $i,SV47: $i,SV107: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV107 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV107 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1040]) ).

thf(1114,plain,
    ! [SV20: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK40_SV109 @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK40_SV109 @ SV20 ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1046]) ).

thf(1120,plain,
    ! [SV21: $i,SV50: $i,SV111: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV111 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV111 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1052]) ).

thf(1121,plain,
    ! [SV21: $i,SV50: $i,SV111: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV111 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV111 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1053]) ).

thf(1124,plain,
    ! [SV21: $i,SV50: $i,SV112: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV112 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV112 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1056]) ).

thf(1125,plain,
    ! [SV21: $i,SV50: $i,SV112: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV112 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV112 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1057]) ).

thf(1131,plain,
    ! [SV21: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK41_SV114 @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK41_SV114 @ SV21 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1063]) ).

thf(1137,plain,
    ! [SV21: $i,SV53: $i,SV116: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1069]) ).

thf(1138,plain,
    ! [SV21: $i,SV53: $i,SV116: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1070]) ).

thf(1141,plain,
    ! [SV21: $i,SV53: $i,SV117: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1073]) ).

thf(1142,plain,
    ! [SV21: $i,SV53: $i,SV117: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1074]) ).

thf(1148,plain,
    ! [SV21: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK42_SV119 @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK42_SV119 @ SV21 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1080]) ).

thf(1151,plain,
    ! [SV20: $i,SV44: $i,SV122: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[658]) ).

thf(1152,plain,
    ! [SV20: $i,SV44: $i,SV123: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV123 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV123 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[660]) ).

thf(1154,plain,
    ! [SV20: $i,SV44: $i,SV125: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV125 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV125 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[309]) ).

thf(1156,plain,
    ! [SV20: $i,SV60: $i,SV127: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV127 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV127 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[666]) ).

thf(1157,plain,
    ! [SV20: $i,SV60: $i,SV128: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV128 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV128 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[667]) ).

thf(1159,plain,
    ! [SV20: $i,SV60: $i,SV130: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV130 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV130 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV60 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV60 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[311]) ).

thf(1160,plain,
    ! [SV20: $i,SV131: $i,SV132: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV131 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV131 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV132 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV132 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[236]) ).

thf(1162,plain,
    ! [SV20: $i,SV47: $i,SV134: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV134 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV134 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[677]) ).

thf(1163,plain,
    ! [SV20: $i,SV47: $i,SV135: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV135 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV135 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[679]) ).

thf(1165,plain,
    ! [SV20: $i,SV47: $i,SV137: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV137 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV137 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[318]) ).

thf(1167,plain,
    ! [SV20: $i,SV61: $i,SV139: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV139 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV139 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[685]) ).

thf(1168,plain,
    ! [SV20: $i,SV61: $i,SV140: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV140 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV140 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[686]) ).

thf(1170,plain,
    ! [SV20: $i,SV61: $i,SV142: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV142 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV142 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV61 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV61 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[320]) ).

thf(1171,plain,
    ! [SV20: $i,SV143: $i,SV144: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( ( sK6_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV143 )
          = ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV143 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV144 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV144 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[241]) ).

thf(1173,plain,
    ! [SV21: $i,SV50: $i,SV146: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV146 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV146 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[696]) ).

thf(1174,plain,
    ! [SV21: $i,SV50: $i,SV147: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV147 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV147 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[698]) ).

thf(1176,plain,
    ! [SV21: $i,SV50: $i,SV149: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV149 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV149 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[327]) ).

thf(1178,plain,
    ! [SV21: $i,SV62: $i,SV151: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV151 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV151 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[704]) ).

thf(1179,plain,
    ! [SV21: $i,SV62: $i,SV152: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV152 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV152 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[705]) ).

thf(1181,plain,
    ! [SV21: $i,SV62: $i,SV154: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV154 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV154 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV62 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV62 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[329]) ).

thf(1182,plain,
    ! [SV21: $i,SV155: $i,SV156: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV155 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV155 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV156 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV156 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[246]) ).

thf(1184,plain,
    ! [SV21: $i,SV53: $i,SV158: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV158 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV158 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[715]) ).

thf(1185,plain,
    ! [SV21: $i,SV53: $i,SV159: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV159 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV159 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[717]) ).

thf(1187,plain,
    ! [SV21: $i,SV53: $i,SV161: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV161 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV161 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[336]) ).

thf(1189,plain,
    ! [SV21: $i,SV63: $i,SV163: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV163 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV163 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[723]) ).

thf(1190,plain,
    ! [SV21: $i,SV63: $i,SV164: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV164 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV164 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[724]) ).

thf(1192,plain,
    ! [SV21: $i,SV63: $i,SV166: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV166 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV166 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV63 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV63 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[338]) ).

thf(1193,plain,
    ! [SV21: $i,SV167: $i,SV168: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( ( sK8_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV167 )
          = ( sK10_SY20
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV167 ) )
        = $true )
      | ( ( ( sK1_SY8
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV168 )
          = ( sK2_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV168 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[251]) ).

thf(1194,plain,
    ! [SV169: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK11_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV169 )
          = ( sK13_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV169 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[218]) ).

thf(1195,plain,
    ! [SV170: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK13_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV170 )
          = ( sK15_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV170 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[221]) ).

thf(1204,plain,
    ! [SV20: $i,SV44: $i,SV101: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[796]) ).

thf(1205,plain,
    ! [SV20: $i,SV44: $i,SV101: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[796]) ).

thf(1206,plain,
    ! [SV20: $i,SV44: $i,SV122: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1151]) ).

thf(1207,plain,
    ! [SV20: $i,SV44: $i,SV122: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1151]) ).

thf(1208,plain,
    ! [SV20: $i,SV44: $i,SV102: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV102 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV102 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[798]) ).

thf(1209,plain,
    ! [SV20: $i,SV44: $i,SV102: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV102 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV102 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[798]) ).

thf(1210,plain,
    ! [SV20: $i,SV44: $i,SV123: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1152]) ).

thf(1211,plain,
    ! [SV20: $i,SV44: $i,SV123: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1152]) ).

thf(1218,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[802]) ).

thf(1219,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[802]) ).

thf(1220,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[803]) ).

thf(1221,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[803]) ).

thf(1224,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[400]) ).

thf(1225,plain,
    ! [SV20: $i,SV44: $i,SV72: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV72 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[400]) ).

thf(1226,plain,
    ! [SV20: $i,SV44: $i,SV125: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1154]) ).

thf(1227,plain,
    ! [SV20: $i,SV44: $i,SV125: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1154]) ).

thf(1230,plain,
    ! [SV20: $i,SV60: $i,SV127: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1156]) ).

thf(1231,plain,
    ! [SV20: $i,SV60: $i,SV127: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV127 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1156]) ).

thf(1232,plain,
    ! [SV20: $i,SV60: $i,SV128: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1157]) ).

thf(1233,plain,
    ! [SV20: $i,SV60: $i,SV128: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV128 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1157]) ).

thf(1236,plain,
    ! [SV20: $i,SV60: $i,SV130: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV130 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV130 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1159]) ).

thf(1237,plain,
    ! [SV20: $i,SV60: $i,SV130: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV60 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV130 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV130 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1159]) ).

thf(1238,plain,
    ! [SV20: $i,SV131: $i,SV132: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV132 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV132 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV131 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV131 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1160]) ).

thf(1239,plain,
    ! [SV20: $i,SV131: $i,SV132: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV132 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV132 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV131 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV131 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1160]) ).

thf(1244,plain,
    ! [SV20: $i,SV47: $i,SV106: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV106 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV106 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[812]) ).

thf(1245,plain,
    ! [SV20: $i,SV47: $i,SV106: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV106 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV106 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[812]) ).

thf(1246,plain,
    ! [SV20: $i,SV47: $i,SV134: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV134 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV134 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1162]) ).

thf(1247,plain,
    ! [SV20: $i,SV47: $i,SV134: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV134 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV134 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1162]) ).

thf(1248,plain,
    ! [SV20: $i,SV47: $i,SV107: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV107 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV107 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[814]) ).

thf(1249,plain,
    ! [SV20: $i,SV47: $i,SV107: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV107 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV107 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[814]) ).

thf(1250,plain,
    ! [SV20: $i,SV47: $i,SV135: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV135 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV135 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1163]) ).

thf(1251,plain,
    ! [SV20: $i,SV47: $i,SV135: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV135 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV135 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1163]) ).

thf(1258,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[818]) ).

thf(1259,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[818]) ).

thf(1260,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[819]) ).

thf(1261,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[819]) ).

thf(1264,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[411]) ).

thf(1265,plain,
    ! [SV20: $i,SV47: $i,SV73: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[411]) ).

thf(1266,plain,
    ! [SV20: $i,SV47: $i,SV137: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV137 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV137 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1165]) ).

thf(1267,plain,
    ! [SV20: $i,SV47: $i,SV137: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV137 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV137 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1165]) ).

thf(1270,plain,
    ! [SV20: $i,SV61: $i,SV139: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV139 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV139 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1167]) ).

thf(1271,plain,
    ! [SV20: $i,SV61: $i,SV139: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV139 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV139 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1167]) ).

thf(1272,plain,
    ! [SV20: $i,SV61: $i,SV140: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV140 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV140 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1168]) ).

thf(1273,plain,
    ! [SV20: $i,SV61: $i,SV140: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV140 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV140 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1168]) ).

thf(1276,plain,
    ! [SV20: $i,SV61: $i,SV142: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1170]) ).

thf(1277,plain,
    ! [SV20: $i,SV61: $i,SV142: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV61 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV142 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1170]) ).

thf(1278,plain,
    ! [SV20: $i,SV143: $i,SV144: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV144 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV144 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV143 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV143 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1171]) ).

thf(1279,plain,
    ! [SV20: $i,SV143: $i,SV144: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV144 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV144 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV143 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV143 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1171]) ).

thf(1284,plain,
    ! [SV21: $i,SV50: $i,SV111: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV111 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV111 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[828]) ).

thf(1285,plain,
    ! [SV21: $i,SV50: $i,SV111: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV111 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV111 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[828]) ).

thf(1286,plain,
    ! [SV21: $i,SV50: $i,SV146: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV146 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV146 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1173]) ).

thf(1287,plain,
    ! [SV21: $i,SV50: $i,SV146: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV146 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV146 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1173]) ).

thf(1288,plain,
    ! [SV21: $i,SV50: $i,SV112: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV112 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV112 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[830]) ).

thf(1289,plain,
    ! [SV21: $i,SV50: $i,SV112: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV112 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV112 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[830]) ).

thf(1290,plain,
    ! [SV21: $i,SV50: $i,SV147: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV147 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV147 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1174]) ).

thf(1291,plain,
    ! [SV21: $i,SV50: $i,SV147: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV147 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV147 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1174]) ).

thf(1298,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[834]) ).

thf(1299,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[834]) ).

thf(1300,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[835]) ).

thf(1301,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[835]) ).

thf(1304,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[422]) ).

thf(1305,plain,
    ! [SV21: $i,SV50: $i,SV74: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV74 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[422]) ).

thf(1306,plain,
    ! [SV21: $i,SV50: $i,SV149: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV149 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV149 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1176]) ).

thf(1307,plain,
    ! [SV21: $i,SV50: $i,SV149: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV149 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV149 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1176]) ).

thf(1310,plain,
    ! [SV21: $i,SV62: $i,SV151: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV151 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV151 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1178]) ).

thf(1311,plain,
    ! [SV21: $i,SV62: $i,SV151: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV151 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV151 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1178]) ).

thf(1312,plain,
    ! [SV21: $i,SV62: $i,SV152: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV152 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV152 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1179]) ).

thf(1313,plain,
    ! [SV21: $i,SV62: $i,SV152: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV152 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV152 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1179]) ).

thf(1316,plain,
    ! [SV21: $i,SV62: $i,SV154: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV154 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV154 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1181]) ).

thf(1317,plain,
    ! [SV21: $i,SV62: $i,SV154: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV62 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV154 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV154 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1181]) ).

thf(1318,plain,
    ! [SV21: $i,SV155: $i,SV156: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV156 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV156 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV155 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV155 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1182]) ).

thf(1319,plain,
    ! [SV21: $i,SV155: $i,SV156: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV156 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV156 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV155 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV155 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1182]) ).

thf(1324,plain,
    ! [SV21: $i,SV53: $i,SV116: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[844]) ).

thf(1325,plain,
    ! [SV21: $i,SV53: $i,SV116: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV116 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[844]) ).

thf(1326,plain,
    ! [SV21: $i,SV53: $i,SV158: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV158 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV158 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1184]) ).

thf(1327,plain,
    ! [SV21: $i,SV53: $i,SV158: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV158 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV158 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1184]) ).

thf(1328,plain,
    ! [SV21: $i,SV53: $i,SV117: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[846]) ).

thf(1329,plain,
    ! [SV21: $i,SV53: $i,SV117: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV117 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[846]) ).

thf(1330,plain,
    ! [SV21: $i,SV53: $i,SV159: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1185]) ).

thf(1331,plain,
    ! [SV21: $i,SV53: $i,SV159: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV159 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1185]) ).

thf(1338,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[850]) ).

thf(1339,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[850]) ).

thf(1340,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[851]) ).

thf(1341,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[851]) ).

thf(1344,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[433]) ).

thf(1345,plain,
    ! [SV21: $i,SV53: $i,SV75: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV75 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[433]) ).

thf(1346,plain,
    ! [SV21: $i,SV53: $i,SV161: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV161 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV161 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1187]) ).

thf(1347,plain,
    ! [SV21: $i,SV53: $i,SV161: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV161 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV161 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1187]) ).

thf(1350,plain,
    ! [SV21: $i,SV63: $i,SV163: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV163 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV163 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1189]) ).

thf(1351,plain,
    ! [SV21: $i,SV63: $i,SV163: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV163 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV163 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1189]) ).

thf(1352,plain,
    ! [SV21: $i,SV63: $i,SV164: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV164 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV164 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1190]) ).

thf(1353,plain,
    ! [SV21: $i,SV63: $i,SV164: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV164 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV164 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1190]) ).

thf(1356,plain,
    ! [SV21: $i,SV63: $i,SV166: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV166 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV166 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1192]) ).

thf(1357,plain,
    ! [SV21: $i,SV63: $i,SV166: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV63 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV166 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV166 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1192]) ).

thf(1358,plain,
    ! [SV21: $i,SV167: $i,SV168: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV168 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV168 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV167 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV167 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1193]) ).

thf(1359,plain,
    ! [SV21: $i,SV167: $i,SV168: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV168 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV168 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV167 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV167 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1193]) ).

thf(1360,plain,
    ! [SV56: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $true )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[293]) ).

thf(1361,plain,
    ! [SV56: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $false )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[293]) ).

thf(1362,plain,
    ! [SV169: $i] :
      ( ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV169 )
        = $true )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV169 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1194]) ).

thf(1363,plain,
    ! [SV169: $i] :
      ( ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV169 )
        = $false )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV169 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1194]) ).

thf(1364,plain,
    ! [SV58: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $true )
      | ( ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[297]) ).

thf(1365,plain,
    ! [SV58: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $false )
      | ( ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[297]) ).

thf(1366,plain,
    ! [SV170: $i] :
      ( ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV170 )
        = $true )
      | ( ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV170 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1195]) ).

thf(1367,plain,
    ! [SV170: $i] :
      ( ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV170 )
        = $false )
      | ( ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV170 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1195]) ).

thf(1368,plain,
    ( ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK43_E )
      = $true )
    | ( ( sK14_SY25
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK43_E )
      = $true )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extuni,[status(esa)],[271]) ).

thf(1369,plain,
    ( ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK43_E )
      = $false )
    | ( ( sK14_SY25
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK43_E )
      = $false )
    | ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extuni,[status(esa)],[271]) ).

thf(1370,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK44_E @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK44_E @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[587]) ).

thf(1371,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK44_E @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK44_E @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[587]) ).

thf(1372,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK45_E @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK45_E @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[744]) ).

thf(1373,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV46 @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK45_E @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK45_E @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[744]) ).

thf(1374,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK47_E @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK47_E @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV65 @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV65 @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[591]) ).

thf(1375,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK47_E @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK47_E @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV65 @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV65 @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[591]) ).

thf(1376,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK48_E @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK48_E @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV65 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV65 @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[747]) ).

thf(1377,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK48_E @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK48_E @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV65 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV65 @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[747]) ).

thf(1378,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK50_E @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK50_E @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK49_E @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK49_E @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[315]) ).

thf(1379,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK50_E @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK50_E @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK49_E @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK49_E @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[315]) ).

thf(1380,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_E @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_E @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK49_E @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK49_E @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[315]) ).

thf(1381,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_E @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_E @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK49_E @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK49_E @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[315]) ).

thf(1382,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_E @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_E @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_E @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_E @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[121]) ).

thf(1383,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_E @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_E @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_E @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_E @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[121]) ).

thf(1384,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK54_E @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK54_E @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_E @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_E @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[121]) ).

thf(1385,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK54_E @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK54_E @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_E @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_E @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[121]) ).

thf(1386,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK56_E @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK56_E @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_E @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_E @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[121]) ).

thf(1387,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK56_E @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK56_E @ SV20 ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_E @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_E @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[121]) ).

thf(1388,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK57_E @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK57_E @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_E @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_E @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[121]) ).

thf(1389,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK57_E @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK57_E @ SV20 ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_E @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_E @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[121]) ).

thf(1390,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK58_E @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK58_E @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[604]) ).

thf(1391,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK58_E @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK58_E @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[604]) ).

thf(1392,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK59_E @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK59_E @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[759]) ).

thf(1393,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV49 @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK59_E @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK59_E @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[759]) ).

thf(1394,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK61_E @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK61_E @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV67 @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV67 @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[608]) ).

thf(1395,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK61_E @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK61_E @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV67 @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV67 @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[608]) ).

thf(1396,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK62_E @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK62_E @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV67 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV67 @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[762]) ).

thf(1397,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK62_E @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK62_E @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV67 @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV67 @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[762]) ).

thf(1398,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK64_E @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK64_E @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_E @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_E @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[324]) ).

thf(1399,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK64_E @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK64_E @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_E @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_E @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[324]) ).

thf(1400,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_E @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_E @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[324]) ).

thf(1401,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_E @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_E @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[324]) ).

thf(1402,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK67_E @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK67_E @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_E @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_E @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[123]) ).

thf(1403,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK67_E @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK67_E @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_E @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_E @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[123]) ).

thf(1404,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_E @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_E @ SV20 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_E @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_E @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[123]) ).

thf(1405,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_E @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_E @ SV20 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_E @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_E @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[123]) ).

thf(1406,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK70_E @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK70_E @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_E @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_E @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[123]) ).

thf(1407,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK70_E @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK70_E @ SV20 ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_E @ SV20 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_E @ SV20 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[123]) ).

thf(1408,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK71_E @ SV20 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK71_E @ SV20 ) )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_E @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_E @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[123]) ).

thf(1409,plain,
    ! [SV20: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV20 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK71_E @ SV20 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK71_E @ SV20 ) )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_E @ SV20 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_E @ SV20 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[123]) ).

thf(1410,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK72_E @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK72_E @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[621]) ).

thf(1411,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK72_E @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK72_E @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[621]) ).

thf(1412,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK73_E @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK73_E @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[774]) ).

thf(1413,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV52 @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK73_E @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK73_E @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[774]) ).

thf(1414,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK75_E @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK75_E @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV69 @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV69 @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[625]) ).

thf(1415,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK75_E @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK75_E @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV69 @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV69 @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[625]) ).

thf(1416,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK76_E @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK76_E @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV69 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV69 @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[777]) ).

thf(1417,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK76_E @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK76_E @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV69 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV69 @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[777]) ).

thf(1418,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK78_E @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK78_E @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK77_E @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK77_E @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[333]) ).

thf(1419,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK78_E @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK78_E @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK77_E @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK77_E @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[333]) ).

thf(1420,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK77_E @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK77_E @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[333]) ).

thf(1421,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK77_E @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK77_E @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[333]) ).

thf(1422,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK81_E @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK81_E @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK80_E @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK80_E @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[125]) ).

thf(1423,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK81_E @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK81_E @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK80_E @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK80_E @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[125]) ).

thf(1424,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK82_E @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK82_E @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK80_E @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK80_E @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[125]) ).

thf(1425,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK82_E @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK82_E @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK80_E @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK80_E @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[125]) ).

thf(1426,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK84_E @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK84_E @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK83_E @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK83_E @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[125]) ).

thf(1427,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK84_E @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK84_E @ SV21 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK83_E @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK83_E @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[125]) ).

thf(1428,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK85_E @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK85_E @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK83_E @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK83_E @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[125]) ).

thf(1429,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK85_E @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK85_E @ SV21 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK83_E @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK83_E @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[125]) ).

thf(1430,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK86_E @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK86_E @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[638]) ).

thf(1431,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK86_E @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK86_E @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[638]) ).

thf(1432,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK87_E @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK87_E @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[789]) ).

thf(1433,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV55 @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK87_E @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK87_E @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[789]) ).

thf(1434,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK89_E @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK89_E @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV71 @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV71 @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[642]) ).

thf(1435,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK89_E @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK89_E @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV71 @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV71 @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[642]) ).

thf(1436,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK90_E @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK90_E @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV71 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV71 @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[792]) ).

thf(1437,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK90_E @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK90_E @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV71 @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV71 @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[792]) ).

thf(1438,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK92_E @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK92_E @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK91_E @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK91_E @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[342]) ).

thf(1439,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK92_E @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK92_E @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK91_E @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK91_E @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[342]) ).

thf(1440,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK91_E @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK91_E @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[342]) ).

thf(1441,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK91_E @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK91_E @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[342]) ).

thf(1442,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK95_E @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK95_E @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[127]) ).

thf(1443,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK95_E @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK95_E @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[127]) ).

thf(1444,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK96_E @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK96_E @ SV21 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[127]) ).

thf(1445,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK96_E @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK96_E @ SV21 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[127]) ).

thf(1446,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK98_E @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK98_E @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[127]) ).

thf(1447,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK98_E @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK98_E @ SV21 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV21 ) )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV21 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[127]) ).

thf(1448,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV21 ) )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV21 ) )
        = $true )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[127]) ).

thf(1449,plain,
    ! [SV21: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $true )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV21 )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV21 ) )
        = $false )
      | ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV21 ) )
        = $false )
      | ( ( sK8_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV21 ) )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV21 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[127]) ).

thf(1454,plain,
    ! [SV22: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK102_E @ SV22 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK102_E @ SV22 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[133]) ).

thf(1455,plain,
    ! [SV22: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK102_E @ SV22 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK102_E @ SV22 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[133]) ).

thf(1456,plain,
    ! [SV22: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK103_E @ SV22 ) )
        = $true )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK103_E @ SV22 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[135]) ).

thf(1457,plain,
    ! [SV22: $i] :
      ( ( ( sK2_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV22 )
        = $true )
      | ( ( sK6_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK103_E @ SV22 ) )
        = $false )
      | ( ( sK10_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK103_E @ SV22 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[135]) ).

thf(1458,plain,
    ( ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK104_E )
      = $true )
    | ( ( sK14_SY25
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK104_E )
      = $true ) ),
    inference(extuni,[status(esa)],[137]) ).

thf(1459,plain,
    ( ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK104_E )
      = $false )
    | ( ( sK14_SY25
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK104_E )
      = $false ) ),
    inference(extuni,[status(esa)],[137]) ).

thf(1460,plain,
    ( ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK11_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK105_E )
      = $true )
    | ( ( sK15_SY26
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK105_E )
      = $true ) ),
    inference(extuni,[status(esa)],[139]) ).

thf(1461,plain,
    ( ( ( sK1_SY8
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK11_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK105_E )
      = $false )
    | ( ( sK15_SY26
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK105_E )
      = $false ) ),
    inference(extuni,[status(esa)],[139]) ).

thf(1462,plain,
    ( ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK14_SY25
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK20_SV43 )
      = $true )
    | ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK20_SV43 )
      = $true ) ),
    inference(sim,[status(thm)],[505]) ).

thf(1463,plain,
    ( ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK20_SV43 )
      = $false )
    | ( ( sK14_SY25
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK20_SV43 )
      = $false ) ),
    inference(sim,[status(thm)],[654]) ).

thf(1464,plain,
    ( ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK43_E )
      = $false )
    | ( ( sK14_SY25
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK43_E )
      = $false ) ),
    inference(sim,[status(thm)],[1369]) ).

thf(1465,plain,
    ( ( ( sK2_SY15
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK3_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK43_E )
      = $true )
    | ( ( sK14_SY25
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK43_E )
      = $true ) ),
    inference(sim,[status(thm)],[1368]) ).

thf(1466,plain,
    ! [SV56: $i] :
      ( ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $true )
      | ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[645]) ).

thf(1467,plain,
    ! [SV56: $i] :
      ( ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $true )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[646]) ).

thf(1468,plain,
    ! [SV56: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $false )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $true ) ),
    inference(sim,[status(thm)],[1361]) ).

thf(1469,plain,
    ! [SV56: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $true )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV56 )
        = $false ) ),
    inference(sim,[status(thm)],[1360]) ).

thf(1470,plain,
    ! [SV169: $i] :
      ( ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV169 )
        = $false )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV169 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[1363]) ).

thf(1471,plain,
    ! [SV169: $i] :
      ( ( ( sK11_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV169 )
        = $true )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV169 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[1362]) ).

thf(1472,plain,
    ! [SV58: $i] :
      ( ( ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $true )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[650]) ).

thf(1473,plain,
    ! [SV58: $i] :
      ( ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $true )
      | ( ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[651]) ).

thf(1474,plain,
    ! [SV58: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $false )
      | ( ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $true ) ),
    inference(sim,[status(thm)],[1365]) ).

thf(1475,plain,
    ! [SV58: $i] :
      ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $true )
      | ( ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV58 )
        = $false ) ),
    inference(sim,[status(thm)],[1364]) ).

thf(1476,plain,
    ! [SV170: $i] :
      ( ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV170 )
        = $false )
      | ( ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV170 )
        = $true )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[1367]) ).

thf(1477,plain,
    ! [SV170: $i] :
      ( ( ( sK13_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV170 )
        = $true )
      | ( ( sK15_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV170 )
        = $false )
      | ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK3_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(sim,[status(thm)],[1366]) ).

thf(1478,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[42,1477,1476,1475,1474,1473,1472,1471,1470,1469,1468,1467,1466,1465,1464,1463,1462,1461,1460,1459,1458,1457,1456,1455,1454,1449,1448,1447,1446,1445,1444,1443,1442,1441,1440,1439,1438,1437,1436,1435,1434,1433,1432,1431,1430,1429,1428,1427,1426,1425,1424,1423,1422,1421,1420,1419,1418,1417,1416,1415,1414,1413,1412,1411,1410,1409,1408,1407,1406,1405,1404,1403,1402,1401,1400,1399,1398,1397,1396,1395,1394,1393,1392,1391,1390,1389,1388,1387,1386,1385,1384,1383,1382,1381,1380,1379,1378,1377,1376,1375,1374,1373,1372,1371,1370,1359,1358,1357,1356,1353,1352,1351,1350,1347,1346,1345,1344,1341,1340,1339,1338,1331,1330,1329,1328,1327,1326,1325,1324,1319,1318,1317,1316,1313,1312,1311,1310,1307,1306,1305,1304,1301,1300,1299,1298,1291,1290,1289,1288,1287,1286,1285,1284,1279,1278,1277,1276,1273,1272,1271,1270,1267,1266,1265,1264,1261,1260,1259,1258,1251,1250,1249,1248,1247,1246,1245,1244,1239,1238,1237,1236,1233,1232,1231,1230,1227,1226,1225,1224,1221,1220,1219,1218,1211,1210,1209,1208,1207,1206,1205,1204,1148,1142,1141,1138,1137,1131,1125,1124,1121,1120,1114,1108,1107,1104,1103,1097,1091,1090,1087,1086,1011,1010,1000,999,989,988,978,977,921,913,905,897,352,351,350,349,266,264,262,260,117,116,115,114,113,112,111,110,109,108,107,106,85,83,81,79,77,75,73,71,69,67,66,65,64,58,57,51,48]) ).

thf(1479,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[1478]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV058^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.17  % Computer : n008.cluster.edu
% 0.13/0.17  % Model    : x86_64 x86_64
% 0.13/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.17  % Memory   : 8046.5625MB
% 0.13/0.17  % OS       : Linux 6.8.0-71-generic
% 0.13/0.17  % CPULimit : 300
% 0.13/0.17  % WCLimit  : 300
% 0.13/0.17  % DateTime : Tue Oct  6 15:40:54 UTC 2026
% 0.13/0.18  % CPUTime  : 
% 0.13/0.18  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.67/2.17  
% 9.67/2.17   No.of.Axioms: 0
% 9.67/2.17  
% 9.67/2.17   Length.of.Defs: 0
% 9.67/2.17  
% 9.67/2.17   Contains.Choice.Funs: false
% 9.67/2.17  ......................
% 9.67/2.17  
% 9.67/2.17  ********************************
% 9.67/2.17  *   All subproblems solved!    *
% 9.67/2.17  ********************************
% 9.67/2.17  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:0,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1478,loop_count:0,foatp_calls:2,translation:fof_full)
% 9.67/2.17  
% 9.67/2.17  %**** Beginning of derivation protocol ****
% 9.67/2.17  % SZS output start CNFRefutation
% See solution above
% 9.67/2.17  
% 9.67/2.17  %**** End of derivation protocol ****
% 9.67/2.17  %**** no. of clauses in derivation: 1005 ****
% 9.67/2.17  %**** clause counter: 1478 ****
% 9.67/2.17  
% 9.67/2.17  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:0,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1478,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------