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

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : SEV086^5 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n017.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 10:49:31 AM UTC 2026

% Result   : Theorem 46.42s 8.08s
% Output   : CNFRefutation 46.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   62
%            Number of leaves      :    1
% Syntax   : Number of formulae    : 1742 (  12 unt;   0 typ;   0 def)
%            Number of atoms       : 38937 (19857 equ;   0 cnn)
%            Maximal formula atoms :    6 (  22 avg)
%            Number of connectives : 32162 (2187   ~;7715   |;  20   &;22225   @)
%                                         (   5 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  : 20956 (20956   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  180 ( 177 usr;   6 con; 0-2 aty)
%            Number of variables   : 23755 (20424   ^;3326   !;   5   ?;23755   :)

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

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

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

thf(tp_sK106_E,type,
    sK106_E: $i > $i ).

thf(tp_sK107_E,type,
    sK107_E: $i > $i ).

thf(tp_sK108_E,type,
    sK108_E: $i > $i ).

thf(tp_sK109_E,type,
    sK109_E: $i > $i ).

thf(tp_sK10_SY21,type,
    sK10_SY21: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK110_E,type,
    sK110_E: $i > $i ).

thf(tp_sK111_E,type,
    sK111_E: $i > $i ).

thf(tp_sK112_E,type,
    sK112_E: $i > $i ).

thf(tp_sK113_E,type,
    sK113_E: $i > $i ).

thf(tp_sK114_E,type,
    sK114_E: $i > $i ).

thf(tp_sK115_E,type,
    sK115_E: $i > $i ).

thf(tp_sK116_E,type,
    sK116_E: $i > $i ).

thf(tp_sK117_E,type,
    sK117_E: $i > $i ).

thf(tp_sK118_E,type,
    sK118_E: $i > $i ).

thf(tp_sK119_E,type,
    sK119_E: $i > $i ).

thf(tp_sK11_SY23,type,
    sK11_SY23: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK120_E,type,
    sK120_E: $i > $i ).

thf(tp_sK121_E,type,
    sK121_E: $i > $i ).

thf(tp_sK122_E,type,
    sK122_E: $i > $i ).

thf(tp_sK123_E,type,
    sK123_E: $i > $i ).

thf(tp_sK124_E,type,
    sK124_E: $i > $i ).

thf(tp_sK125_E,type,
    sK125_E: $i > $i ).

thf(tp_sK126_E,type,
    sK126_E: $i > $i ).

thf(tp_sK127_E,type,
    sK127_E: $i > $i ).

thf(tp_sK128_E,type,
    sK128_E: $i > $i ).

thf(tp_sK129_E,type,
    sK129_E: $i > $i ).

thf(tp_sK12_SY25,type,
    sK12_SY25: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i ).

thf(tp_sK130_E,type,
    sK130_E: $i > $i ).

thf(tp_sK131_E,type,
    sK131_E: $i > $i ).

thf(tp_sK132_E,type,
    sK132_E: $i > $i ).

thf(tp_sK133_E,type,
    sK133_E: $i > $i ).

thf(tp_sK134_E,type,
    sK134_E: $i > $i ).

thf(tp_sK135_E,type,
    sK135_E: $i > $i ).

thf(tp_sK136_E,type,
    sK136_E: $i > $i ).

thf(tp_sK137_E,type,
    sK137_E: $i > $i ).

thf(tp_sK138_E,type,
    sK138_E: $i > $i ).

thf(tp_sK139_E,type,
    sK139_E: $i > $i ).

thf(tp_sK13_SY26,type,
    sK13_SY26: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i ).

thf(tp_sK140_E,type,
    sK140_E: $i > $i ).

thf(tp_sK141_E,type,
    sK141_E: $i > $i ).

thf(tp_sK142_E,type,
    sK142_E: $i > $i ).

thf(tp_sK143_E,type,
    sK143_E: $i > $i ).

thf(tp_sK144_E,type,
    sK144_E: $i > $i ).

thf(tp_sK145_E,type,
    sK145_E: $i > $i ).

thf(tp_sK146_E,type,
    sK146_E: $i > $i ).

thf(tp_sK147_E,type,
    sK147_E: $i > $i ).

thf(tp_sK148_E,type,
    sK148_E: $i > $i ).

thf(tp_sK149_E,type,
    sK149_E: $i > $i ).

thf(tp_sK14_SV56,type,
    sK14_SV56: $i > $i ).

thf(tp_sK150_E,type,
    sK150_E: $i > $i ).

thf(tp_sK151_E,type,
    sK151_E: $i > $i ).

thf(tp_sK152_E,type,
    sK152_E: $i > $i ).

thf(tp_sK153_E,type,
    sK153_E: $i > $i ).

thf(tp_sK154_E,type,
    sK154_E: $i > $i ).

thf(tp_sK155_E,type,
    sK155_E: $i > $i ).

thf(tp_sK156_E,type,
    sK156_E: $i > $i ).

thf(tp_sK157_E,type,
    sK157_E: $i > $i ).

thf(tp_sK158_E,type,
    sK158_E: $i > $i ).

thf(tp_sK159_E,type,
    sK159_E: $i > $i ).

thf(tp_sK15_SV57,type,
    sK15_SV57: $i > $i ).

thf(tp_sK160_E,type,
    sK160_E: $i > $i ).

thf(tp_sK161_E,type,
    sK161_E: $i > $i ).

thf(tp_sK162_E,type,
    sK162_E: $i > $i ).

thf(tp_sK163_E,type,
    sK163_E: $i > $i ).

thf(tp_sK164_E,type,
    sK164_E: $i > $i ).

thf(tp_sK165_E,type,
    sK165_E: $i > $i ).

thf(tp_sK166_E,type,
    sK166_E: $i > $i ).

thf(tp_sK167_E,type,
    sK167_E: $i > $i ).

thf(tp_sK168_E,type,
    sK168_E: $i > $i ).

thf(tp_sK169_E,type,
    sK169_E: $i > $i ).

thf(tp_sK16_SV58,type,
    sK16_SV58: $i > $i ).

thf(tp_sK170_E,type,
    sK170_E: $i > $i ).

thf(tp_sK171_E,type,
    sK171_E: $i > $i ).

thf(tp_sK172_E,type,
    sK172_E: $i > $i ).

thf(tp_sK173_E,type,
    sK173_E: $i > $i ).

thf(tp_sK174_E,type,
    sK174_E: $i > $i ).

thf(tp_sK175_E,type,
    sK175_E: $i > $i ).

thf(tp_sK176_E,type,
    sK176_E: $i ).

thf(tp_sK177_E,type,
    sK177_E: $i ).

thf(tp_sK17_SV59,type,
    sK17_SV59: $i > $i ).

thf(tp_sK18_SV60,type,
    sK18_SV60: $i ).

thf(tp_sK19_SV61,type,
    sK19_SV61: $i ).

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

thf(tp_sK20_SV72,type,
    sK20_SV72: $i > $i ).

thf(tp_sK21_SV75,type,
    sK21_SV75: $i > $i ).

thf(tp_sK22_SV78,type,
    sK22_SV78: $i > $i ).

thf(tp_sK23_SV81,type,
    sK23_SV81: $i > $i ).

thf(tp_sK24_SV84,type,
    sK24_SV84: $i > $i ).

thf(tp_sK25_SV87,type,
    sK25_SV87: $i > $i ).

thf(tp_sK26_SV90,type,
    sK26_SV90: $i > $i ).

thf(tp_sK27_SV93,type,
    sK27_SV93: $i > $i ).

thf(tp_sK28_SV103,type,
    sK28_SV103: $i > $i ).

thf(tp_sK29_SV105,type,
    sK29_SV105: $i > $i ).

thf(tp_sK2_SY9,type,
    sK2_SY9: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK30_SV107,type,
    sK30_SV107: $i > $i ).

thf(tp_sK31_SV109,type,
    sK31_SV109: $i > $i ).

thf(tp_sK32_SV111,type,
    sK32_SV111: $i > $i ).

thf(tp_sK33_SV113,type,
    sK33_SV113: $i > $i ).

thf(tp_sK34_SV115,type,
    sK34_SV115: $i > $i ).

thf(tp_sK35_SV117,type,
    sK35_SV117: $i > $i ).

thf(tp_sK36_SV126,type,
    sK36_SV126: $i > $i ).

thf(tp_sK37_SV127,type,
    sK37_SV127: $i > $i ).

thf(tp_sK38_SV128,type,
    sK38_SV128: $i > $i ).

thf(tp_sK39_SV129,type,
    sK39_SV129: $i > $i ).

thf(tp_sK3_SY15,type,
    sK3_SY15: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK40_SV130,type,
    sK40_SV130: $i > $i ).

thf(tp_sK41_SV131,type,
    sK41_SV131: $i > $i ).

thf(tp_sK42_SV132,type,
    sK42_SV132: $i > $i ).

thf(tp_sK43_SV133,type,
    sK43_SV133: $i > $i ).

thf(tp_sK44_SV134,type,
    sK44_SV134: $i > $i ).

thf(tp_sK45_SV135,type,
    sK45_SV135: $i > $i ).

thf(tp_sK46_SV136,type,
    sK46_SV136: $i > $i ).

thf(tp_sK47_SV137,type,
    sK47_SV137: $i > $i ).

thf(tp_sK48_SV138,type,
    sK48_SV138: $i > $i ).

thf(tp_sK49_SV139,type,
    sK49_SV139: $i > $i ).

thf(tp_sK4_SY17,type,
    sK4_SY17: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).

thf(tp_sK50_SV140,type,
    sK50_SV140: $i > $i ).

thf(tp_sK51_SV141,type,
    sK51_SV141: $i > $i ).

thf(tp_sK52_SV178,type,
    sK52_SV178: $i > $i ).

thf(tp_sK53_SV183,type,
    sK53_SV183: $i > $i ).

thf(tp_sK54_SV188,type,
    sK54_SV188: $i > $i ).

thf(tp_sK55_SV193,type,
    sK55_SV193: $i > $i ).

thf(tp_sK56_SV198,type,
    sK56_SV198: $i > $i ).

thf(tp_sK57_SV203,type,
    sK57_SV203: $i > $i ).

thf(tp_sK58_SV208,type,
    sK58_SV208: $i > $i ).

thf(tp_sK59_SV213,type,
    sK59_SV213: $i > $i ).

thf(tp_sK5_SY12,type,
    sK5_SY12: ( ( $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_SY18,type,
    sK6_SY18: ( ( $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_SY20,type,
    sK7_SY20: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i ).

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_SY12,type,
    sK8_SY12: ( ( $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] :
      ( ! [Xx: $i > $o] : ( R @ Xx @ Xx )
      & ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
          ( ( ( R @ Xx @ Xy )
            & ( R @ Xy @ Xz ) )
         => ( R @ Xx @ Xz ) )
      & ! [X: $i > $o,Y: $i > $o] :
          ( ( ( R @ X @ Y )
            & ( R @ Y @ X ) )
         => ! [Xx: $i] :
              ( ( X @ Xx )
            <=> ( Y @ Xx ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM120I_pme) ).

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

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

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

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

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

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

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

thf(9,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ~ ~ ( ~ ~ ( ~ ! [SY8: $i > $o] : ( SV1 @ SY8 @ SY8 )
                    | ~ ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
                          ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                                | ~ ( SV1 @ SY10 @ SY11 ) )
                          | ( SV1 @ SY9 @ SY11 ) ) )
              | ~ ! [SY12: $i > $o,SY13: $i > $o] :
                    ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                          | ~ ( SV1 @ SY13 @ SY12 ) )
                    | ! [SX3: $i] :
                        ~ ( ~ ( ~ ( SY12 @ SX3 )
                              | ( SY13 @ SX3 ) )
                          | ~ ( ~ ( SY13 @ SX3 )
                              | ( SY12 @ SX3 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8]) ).

thf(10,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ~ ( ~ ~ ( ~ ! [SY8: $i > $o] : ( SV1 @ SY8 @ SY8 )
                  | ~ ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
                        ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                              | ~ ( SV1 @ SY10 @ SY11 ) )
                        | ( SV1 @ SY9 @ SY11 ) ) )
            | ~ ! [SY12: $i > $o,SY13: $i > $o] :
                  ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                        | ~ ( SV1 @ SY13 @ SY12 ) )
                  | ! [SX3: $i] :
                      ~ ( ~ ( ~ ( SY12 @ SX3 )
                            | ( SY13 @ SX3 ) )
                        | ~ ( ~ ( SY13 @ SX3 )
                            | ( SY12 @ SX3 ) ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[9]) ).

thf(11,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ~ ~ ( ~ ! [SY8: $i > $o] : ( SV1 @ SY8 @ SY8 )
              | ~ ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
                    ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                          | ~ ( SV1 @ SY10 @ SY11 ) )
                    | ( SV1 @ SY9 @ SY11 ) ) )
        | ~ ! [SY12: $i > $o,SY13: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                    | ~ ( SV1 @ SY13 @ SY12 ) )
              | ! [SX3: $i] :
                  ~ ( ~ ( ~ ( SY12 @ SX3 )
                        | ( SY13 @ SX3 ) )
                    | ~ ( ~ ( SY13 @ SX3 )
                        | ( SY12 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[10]) ).

thf(12,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ! [SY8: $i > $o] : ( SV1 @ SY8 @ SY8 )
                | ~ ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
                      ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                            | ~ ( SV1 @ SY10 @ SY11 ) )
                      | ( SV1 @ SY9 @ SY11 ) ) ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ~ ( ~ ( ~ ( SY12 @ SX3 )
                          | ( SY13 @ SX3 ) )
                      | ~ ( ~ ( SY13 @ SX3 )
                          | ( SY12 @ SX3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[11]) ).

thf(13,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ! [SY8: $i > $o] : ( SV1 @ SY8 @ SY8 )
              | ~ ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
                    ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                          | ~ ( SV1 @ SY10 @ SY11 ) )
                    | ( SV1 @ SY9 @ SY11 ) ) ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ~ ( ~ ( ~ ( SY12 @ SX3 )
                          | ( SY13 @ SX3 ) )
                      | ~ ( ~ ( SY13 @ SX3 )
                          | ( SY12 @ SX3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[12]) ).

thf(14,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ! [SY8: $i > $o] : ( SV1 @ SY8 @ SY8 )
          | ~ ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                      | ~ ( SV1 @ SY10 @ SY11 ) )
                | ( SV1 @ SY9 @ SY11 ) ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ~ ( ~ ( ~ ( SY12 @ SX3 )
                          | ( SY13 @ SX3 ) )
                      | ~ ( ~ ( SY13 @ SX3 )
                          | ( SY12 @ SX3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[13]) ).

thf(15,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ! [SY8: $i > $o] : ( SV1 @ SY8 @ SY8 ) )
        = $true )
      | ( ( ~ ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                      | ~ ( SV1 @ SY10 @ SY11 ) )
                | ( SV1 @ SY9 @ SY11 ) ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ~ ( ~ ( ~ ( SY12 @ SX3 )
                          | ( SY13 @ SX3 ) )
                      | ~ ( ~ ( SY13 @ SX3 )
                          | ( SY12 @ SX3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[14]) ).

thf(16,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY8: $i > $o] : ( SV1 @ SY8 @ SY8 ) )
        = $false )
      | ( ( ~ ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                      | ~ ( SV1 @ SY10 @ SY11 ) )
                | ( SV1 @ SY9 @ SY11 ) ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ~ ( ~ ( ~ ( SY12 @ SX3 )
                          | ( SY13 @ SX3 ) )
                      | ~ ( ~ ( SY13 @ SX3 )
                          | ( SY12 @ SX3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[15]) ).

thf(17,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                      | ~ ( SV1 @ SY10 @ SY11 ) )
                | ( SV1 @ SY9 @ SY11 ) ) )
        = $true )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ~ ( ~ ( ~ ( SY12 @ SX3 )
                          | ( SY13 @ SX3 ) )
                      | ~ ( ~ ( SY13 @ SX3 )
                          | ( SY12 @ SX3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[16]) ).

thf(18,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY9: $i > $o,SY10: $i > $o,SY11: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ SY9 @ SY10 )
                    | ~ ( SV1 @ SY10 @ SY11 ) )
              | ( SV1 @ SY9 @ SY11 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ~ ( ~ ( ~ ( SY12 @ SX3 )
                          | ( SY13 @ SX3 ) )
                      | ~ ( ~ ( SY13 @ SX3 )
                          | ( SY12 @ SX3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[17]) ).

thf(19,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY15: $i > $o,SY16: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ ( sK2_SY9 @ SV1 ) @ SY15 )
                    | ~ ( SV1 @ SY15 @ SY16 ) )
              | ( SV1 @ ( sK2_SY9 @ SV1 ) @ SY16 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ~ ( ~ ( ~ ( SY12 @ SX3 )
                          | ( SY13 @ SX3 ) )
                      | ~ ( ~ ( SY13 @ SX3 )
                          | ( SY12 @ SX3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[18]) ).

thf(20,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY17: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
                    | ~ ( SV1 @ ( sK3_SY15 @ SV1 ) @ SY17 ) )
              | ( SV1 @ ( sK2_SY9 @ SV1 ) @ SY17 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ~ ( ~ ( ~ ( SY12 @ SX3 )
                          | ( SY13 @ SX3 ) )
                      | ~ ( ~ ( SY13 @ SX3 )
                          | ( SY12 @ SX3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[19]) ).

thf(21,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
                | ~ ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) ) )
          | ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ~ ( ~ ( ~ ( SY12 @ SX3 )
                          | ( SY13 @ SX3 ) )
                      | ~ ( ~ ( SY13 @ SX3 )
                          | ( SY12 @ SX3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[20]) ).

thf(22,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
                | ~ ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ~ ( ~ ( ~ ( SY12 @ SX3 )
                          | ( SY13 @ SX3 ) )
                      | ~ ( ~ ( SY13 @ SX3 )
                          | ( SY12 @ SX3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[21]) ).

thf(23,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ~ ( ~ ( ~ ( SY12 @ SX3 )
                          | ( SY13 @ SX3 ) )
                      | ~ ( ~ ( SY13 @ SX3 )
                          | ( SY12 @ SX3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[21]) ).

thf(24,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
              | ~ ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ~ ( ~ ( ~ ( SY12 @ SX3 )
                          | ( SY13 @ SX3 ) )
                      | ~ ( ~ ( SY13 @ SX3 )
                          | ( SY12 @ SX3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[22]) ).

thf(25,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY12: $i > $o,SY13: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                    | ~ ( SV1 @ SY13 @ SY12 ) )
              | ! [SX3: $i] :
                  ~ ( ~ ( ~ ( SY12 @ SX3 )
                        | ( SY13 @ SX3 ) )
                    | ~ ( ~ ( SY13 @ SX3 )
                        | ( SY12 @ SX3 ) ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[23]) ).

thf(26,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
          | ~ ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ~ ( ~ ( ~ ( SY12 @ SX3 )
                          | ( SY13 @ SX3 ) )
                      | ~ ( ~ ( SY13 @ SX3 )
                          | ( SY12 @ SX3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[24]) ).

thf(27,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY18: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ ( sK5_SY12 @ SV1 ) @ SY18 )
                    | ~ ( SV1 @ SY18 @ ( sK5_SY12 @ SV1 ) ) )
              | ! [SY19: $i] :
                  ~ ( ~ ( ~ ( sK5_SY12 @ SV1 @ SY19 )
                        | ( SY18 @ SY19 ) )
                    | ~ ( ~ ( SY18 @ SY19 )
                        | ( sK5_SY12 @ SV1 @ SY19 ) ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[25]) ).

thf(28,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ~ ( ~ ( ~ ( SY12 @ SX3 )
                          | ( SY13 @ SX3 ) )
                      | ~ ( ~ ( SY13 @ SX3 )
                          | ( SY12 @ SX3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[26]) ).

thf(29,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ~ ( ~ ( ~ ( SY12 @ SX3 )
                          | ( SY13 @ SX3 ) )
                      | ~ ( ~ ( SY13 @ SX3 )
                          | ( SY12 @ SX3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[26]) ).

thf(30,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_SY12 @ SV1 ) @ ( sK6_SY18 @ SV1 ) )
                | ~ ( SV1 @ ( sK6_SY18 @ SV1 ) @ ( sK5_SY12 @ SV1 ) ) )
          | ! [SY20: $i] :
              ~ ( ~ ( ~ ( sK5_SY12 @ SV1 @ SY20 )
                    | ( sK6_SY18 @ SV1 @ SY20 ) )
                | ~ ( ~ ( sK6_SY18 @ SV1 @ SY20 )
                    | ( sK5_SY12 @ SV1 @ SY20 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[27]) ).

thf(31,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ~ ( ~ ( ~ ( SY12 @ SX3 )
                          | ( SY13 @ SX3 ) )
                      | ~ ( ~ ( SY13 @ SX3 )
                          | ( SY12 @ SX3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[28]) ).

thf(32,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( ~ ! [SY12: $i > $o,SY13: $i > $o] :
                ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                      | ~ ( SV1 @ SY13 @ SY12 ) )
                | ! [SX3: $i] :
                    ~ ( ~ ( ~ ( SY12 @ SX3 )
                          | ( SY13 @ SX3 ) )
                      | ~ ( ~ ( SY13 @ SX3 )
                          | ( SY12 @ SX3 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[29]) ).

thf(33,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK5_SY12 @ SV1 ) @ ( sK6_SY18 @ SV1 ) )
                | ~ ( SV1 @ ( sK6_SY18 @ SV1 ) @ ( sK5_SY12 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[30]) ).

thf(34,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY20: $i] :
              ~ ( ~ ( ~ ( sK5_SY12 @ SV1 @ SY20 )
                    | ( sK6_SY18 @ SV1 @ SY20 ) )
                | ~ ( ~ ( sK6_SY18 @ SV1 @ SY20 )
                    | ( sK5_SY12 @ SV1 @ SY20 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[30]) ).

thf(35,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY12: $i > $o,SY13: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                    | ~ ( SV1 @ SY13 @ SY12 ) )
              | ! [SX3: $i] :
                  ~ ( ~ ( ~ ( SY12 @ SX3 )
                        | ( SY13 @ SX3 ) )
                    | ~ ( ~ ( SY13 @ SX3 )
                        | ( SY12 @ SX3 ) ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[31]) ).

thf(36,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY12: $i > $o,SY13: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ SY12 @ SY13 )
                    | ~ ( SV1 @ SY13 @ SY12 ) )
              | ! [SX3: $i] :
                  ~ ( ~ ( ~ ( SY12 @ SX3 )
                        | ( SY13 @ SX3 ) )
                    | ~ ( ~ ( SY13 @ SX3 )
                        | ( SY12 @ SX3 ) ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[32]) ).

thf(37,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK5_SY12 @ SV1 ) @ ( sK6_SY18 @ SV1 ) )
              | ~ ( SV1 @ ( sK6_SY18 @ SV1 ) @ ( sK5_SY12 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[33]) ).

thf(38,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( ~ ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
                  | ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) ) )
              | ~ ( ~ ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) )
                  | ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[34]) ).

thf(39,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY21: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ ( sK8_SY12 @ SV1 ) @ SY21 )
                    | ~ ( SV1 @ SY21 @ ( sK8_SY12 @ SV1 ) ) )
              | ! [SY22: $i] :
                  ~ ( ~ ( ~ ( sK8_SY12 @ SV1 @ SY22 )
                        | ( SY21 @ SY22 ) )
                    | ~ ( ~ ( SY21 @ SY22 )
                        | ( sK8_SY12 @ SV1 @ SY22 ) ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[35]) ).

thf(40,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY23: $i > $o] :
              ( ~ ~ ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ SY23 )
                    | ~ ( SV1 @ SY23 @ ( sK9_SY12 @ SV1 ) ) )
              | ! [SY24: $i] :
                  ~ ( ~ ( ~ ( sK9_SY12 @ SV1 @ SY24 )
                        | ( SY23 @ SY24 ) )
                    | ~ ( ~ ( SY23 @ SY24 )
                        | ( sK9_SY12 @ SV1 @ SY24 ) ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[36]) ).

thf(41,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK5_SY12 @ SV1 ) @ ( sK6_SY18 @ SV1 ) )
          | ~ ( SV1 @ ( sK6_SY18 @ SV1 ) @ ( sK5_SY12 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[37]) ).

thf(42,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
              | ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) ) )
          | ~ ( ~ ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) )
              | ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[38]) ).

thf(43,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK8_SY12 @ SV1 ) @ ( sK10_SY21 @ SV1 ) )
                | ~ ( SV1 @ ( sK10_SY21 @ SV1 ) @ ( sK8_SY12 @ SV1 ) ) )
          | ! [SY25: $i] :
              ~ ( ~ ( ~ ( sK8_SY12 @ SV1 @ SY25 )
                    | ( sK10_SY21 @ SV1 @ SY25 ) )
                | ~ ( ~ ( sK10_SY21 @ SV1 @ SY25 )
                    | ( sK8_SY12 @ SV1 @ SY25 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[39]) ).

thf(44,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK11_SY23 @ SV1 ) )
                | ~ ( SV1 @ ( sK11_SY23 @ SV1 ) @ ( sK9_SY12 @ SV1 ) ) )
          | ! [SY26: $i] :
              ~ ( ~ ( ~ ( sK9_SY12 @ SV1 @ SY26 )
                    | ( sK11_SY23 @ SV1 @ SY26 ) )
                | ~ ( ~ ( sK11_SY23 @ SV1 @ SY26 )
                    | ( sK9_SY12 @ SV1 @ SY26 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[40]) ).

thf(45,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK5_SY12 @ SV1 ) @ ( sK6_SY18 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[41]) ).

thf(46,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK6_SY18 @ SV1 ) @ ( sK5_SY12 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[41]) ).

thf(47,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
              | ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) )
              | ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[42]) ).

thf(48,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK8_SY12 @ SV1 ) @ ( sK10_SY21 @ SV1 ) )
                | ~ ( SV1 @ ( sK10_SY21 @ SV1 ) @ ( sK8_SY12 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[43]) ).

thf(49,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY25: $i] :
              ~ ( ~ ( ~ ( sK8_SY12 @ SV1 @ SY25 )
                    | ( sK10_SY21 @ SV1 @ SY25 ) )
                | ~ ( ~ ( sK10_SY21 @ SV1 @ SY25 )
                    | ( sK8_SY12 @ SV1 @ SY25 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[43]) ).

thf(50,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ~ ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK11_SY23 @ SV1 ) )
                | ~ ( SV1 @ ( sK11_SY23 @ SV1 ) @ ( sK9_SY12 @ SV1 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[44]) ).

thf(51,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ! [SY26: $i] :
              ~ ( ~ ( ~ ( sK9_SY12 @ SV1 @ SY26 )
                    | ( sK11_SY23 @ SV1 @ SY26 ) )
                | ~ ( ~ ( sK11_SY23 @ SV1 @ SY26 )
                    | ( sK9_SY12 @ SV1 @ SY26 ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[44]) ).

thf(52,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK5_SY12 @ SV1 ) @ ( sK6_SY18 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[45]) ).

thf(53,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK6_SY18 @ SV1 ) @ ( sK5_SY12 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[46]) ).

thf(54,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
          | ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) )
              | ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[47]) ).

thf(55,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK8_SY12 @ SV1 ) @ ( sK10_SY21 @ SV1 ) )
              | ~ ( SV1 @ ( sK10_SY21 @ SV1 ) @ ( sK8_SY12 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[48]) ).

thf(56,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( ~ ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
                  | ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) ) )
              | ~ ( ~ ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) )
                  | ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[49]) ).

thf(57,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK11_SY23 @ SV1 ) )
              | ~ ( SV1 @ ( sK11_SY23 @ SV1 ) @ ( sK9_SY12 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[50]) ).

thf(58,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( ~ ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
                  | ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) ) )
              | ~ ( ~ ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) )
                  | ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) ) ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[51]) ).

thf(59,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) )
              | ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[54]) ).

thf(60,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) )
        = $false )
      | ( ( ~ ( ~ ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) )
              | ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[54]) ).

thf(61,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK8_SY12 @ SV1 ) @ ( sK10_SY21 @ SV1 ) )
          | ~ ( SV1 @ ( sK10_SY21 @ SV1 ) @ ( sK8_SY12 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[55]) ).

thf(62,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
              | ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) ) )
          | ~ ( ~ ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) )
              | ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[56]) ).

thf(63,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK11_SY23 @ SV1 ) )
          | ~ ( SV1 @ ( sK11_SY23 @ SV1 ) @ ( sK9_SY12 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[57]) ).

thf(64,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
              | ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) ) )
          | ~ ( ~ ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) )
              | ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[58]) ).

thf(65,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
        = $true )
      | ( ( ~ ( ~ ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) )
              | ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[59]) ).

thf(66,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) )
          | ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) ) )
        = $false )
      | ( ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[60]) ).

thf(67,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK8_SY12 @ SV1 ) @ ( sK10_SY21 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[61]) ).

thf(68,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK10_SY21 @ SV1 ) @ ( sK8_SY12 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[61]) ).

thf(69,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
              | ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) )
              | ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[62]) ).

thf(70,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK11_SY23 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[63]) ).

thf(71,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK11_SY23 @ SV1 ) @ ( sK9_SY12 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[63]) ).

thf(72,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( ~ ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
              | ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) )
              | ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[64]) ).

thf(73,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) )
          | ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) ) )
        = $false )
      | ( ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[65]) ).

thf(75,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
        = $false )
      | ( ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[66]) ).

thf(76,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK8_SY12 @ SV1 ) @ ( sK10_SY21 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[67]) ).

thf(77,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK10_SY21 @ SV1 ) @ ( sK8_SY12 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[68]) ).

thf(78,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
          | ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) ) )
        = $false )
      | ( ( ~ ( ~ ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) )
              | ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[69]) ).

thf(79,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK9_SY12 @ SV1 ) @ ( sK11_SY23 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[70]) ).

thf(80,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( SV1 @ ( sK11_SY23 @ SV1 ) @ ( sK9_SY12 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[71]) ).

thf(81,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
          | ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) ) )
        = $false )
      | ( ( ~ ( ~ ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) )
              | ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[72]) ).

thf(82,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) ) )
        = $false )
      | ( ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[73]) ).

thf(85,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) ) )
        = $false )
      | ( ( ~ ( ~ ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) )
              | ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[78]) ).

thf(86,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) )
        = $false )
      | ( ( ~ ( ~ ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) )
              | ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[78]) ).

thf(87,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) ) )
        = $false )
      | ( ( ~ ( ~ ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) )
              | ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[81]) ).

thf(88,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) )
        = $false )
      | ( ( ~ ( ~ ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) )
              | ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[81]) ).

thf(89,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK6_SY18 @ SV1 @ ( sK7_SY20 @ SV1 ) )
        = $true )
      | ( ( sK5_SY12 @ SV1 @ ( sK7_SY20 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[82]) ).

thf(90,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
        = $true )
      | ( ( ~ ( ~ ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) )
              | ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[85]) ).

thf(91,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) )
          | ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) ) )
        = $false )
      | ( ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[86]) ).

thf(92,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
        = $true )
      | ( ( ~ ( ~ ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) )
              | ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) ) ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[87]) ).

thf(93,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) )
          | ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) ) )
        = $false )
      | ( ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[88]) ).

thf(94,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) )
          | ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) ) )
        = $false )
      | ( ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[90]) ).

thf(96,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
        = $false )
      | ( ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[91]) ).

thf(97,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) )
          | ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) ) )
        = $false )
      | ( ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[92]) ).

thf(99,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
        = $false )
      | ( ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[93]) ).

thf(100,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) ) )
        = $false )
      | ( ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[94]) ).

thf(103,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( ~ ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) ) )
        = $false )
      | ( ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[97]) ).

thf(106,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK10_SY21 @ SV1 @ ( sK12_SY25 @ SV1 ) )
        = $true )
      | ( ( sK8_SY12 @ SV1 @ ( sK12_SY25 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK2_SY9 @ SV1 ) @ ( sK3_SY15 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[100]) ).

thf(107,plain,
    ! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ( ( sK11_SY23 @ SV1 @ ( sK13_SY26 @ SV1 ) )
        = $true )
      | ( ( sK9_SY12 @ SV1 @ ( sK13_SY26 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY8 @ SV1 ) @ ( sK1_SY8 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK3_SY15 @ SV1 ) @ ( sK4_SY17 @ SV1 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[103]) ).

thf(108,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[52:[bind(SV1,$thf( ^ [SV3: $i > $o] : ^ [SV2: $i > $o] : ( SV3 = SV2 ) ))]]) ).

thf(109,plain,
    ( ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[108]) ).

thf(110,plain,
    ( ( ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[53:[bind(SV1,$thf( ^ [SV5: $i > $o] : ^ [SV4: $i > $o] : ( SV5 = SV4 ) ))]]) ).

thf(111,plain,
    ( ( ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[110]) ).

thf(112,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[75:[bind(SV1,$thf( ^ [SV7: $i > $o] : ^ [SV6: $i > $o] : ( SV7 = SV6 ) ))]]) ).

thf(113,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[112]) ).

thf(114,plain,
    ( ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[76:[bind(SV1,$thf( ^ [SV9: $i > $o] : ^ [SV8: $i > $o] : ( SV9 = SV8 ) ))]]) ).

thf(115,plain,
    ( ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[114]) ).

thf(116,plain,
    ( ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[77:[bind(SV1,$thf( ^ [SV11: $i > $o] : ^ [SV10: $i > $o] : ( SV11 = SV10 ) ))]]) ).

thf(117,plain,
    ( ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[116]) ).

thf(118,plain,
    ( ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[79:[bind(SV1,$thf( ^ [SV13: $i > $o] : ^ [SV12: $i > $o] : ( SV13 = SV12 ) ))]]) ).

thf(119,plain,
    ( ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[118]) ).

thf(120,plain,
    ( ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[80:[bind(SV1,$thf( ^ [SV15: $i > $o] : ^ [SV14: $i > $o] : ( SV15 = SV14 ) ))]]) ).

thf(121,plain,
    ( ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[120]) ).

thf(124,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(replace_andrewsEQ,[status(thm)],[89:[bind(SV1,$thf( ^ [SV21: $i > $o] : ^ [SV20: $i > $o] : ( SV21 = SV20 ) ))]]) ).

thf(125,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(sim,[status(thm)],[124]) ).

thf(126,plain,
    ( ( ( sK8_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK12_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK10_SY21
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK12_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[96:[bind(SV1,$thf( ^ [SV23: $i > $o] : ^ [SV22: $i > $o] : ( SV23 = SV22 ) ))]]) ).

thf(127,plain,
    ( ( ( sK8_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK12_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK10_SY21
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK12_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[126]) ).

thf(128,plain,
    ( ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK13_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK11_SY23
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK13_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[99:[bind(SV1,$thf( ^ [SV25: $i > $o] : ^ [SV24: $i > $o] : ( SV25 = SV24 ) ))]]) ).

thf(129,plain,
    ( ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK13_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK11_SY23
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK13_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[128]) ).

thf(134,plain,
    ( ( ( sK10_SY21
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK12_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK8_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK12_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[106:[bind(SV1,$thf( ^ [SV35: $i > $o] : ^ [SV34: $i > $o] : ( SV35 = SV34 ) ))]]) ).

thf(135,plain,
    ( ( ( sK10_SY21
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK12_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK8_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK12_SY25
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[134]) ).

thf(136,plain,
    ( ( ( sK11_SY23
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK13_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK13_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK1_SY8
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(replace_andrewsEQ,[status(thm)],[107:[bind(SV1,$thf( ^ [SV37: $i > $o] : ^ [SV36: $i > $o] : ( SV37 = SV36 ) ))]]) ).

thf(137,plain,
    ( ( ( sK11_SY23
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK13_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK9_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK13_SY26
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(sim,[status(thm)],[136]) ).

thf(138,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(fac_restr,[status(thm)],[115]) ).

thf(139,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(fac_restr,[status(thm)],[117]) ).

thf(140,plain,
    ( ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(fac_restr,[status(thm)],[119]) ).

thf(141,plain,
    ( ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
      = $false ) ),
    inference(fac_restr,[status(thm)],[121]) ).

thf(142,plain,
    ! [SV38: $i] :
      ( ( ( ( ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV38 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV38 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[138]) ).

thf(143,plain,
    ! [SV39: $i] :
      ( ( ( ( ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV39 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV39 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[139]) ).

thf(144,plain,
    ! [SV40: $i] :
      ( ( ( ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV40 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV40 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[140]) ).

thf(145,plain,
    ! [SV41: $i] :
      ( ( ( ( ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV41 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV41 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[141]) ).

thf(146,plain,
    ! [SV42: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV42 )
          = ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV42 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[109]) ).

thf(147,plain,
    ! [SV43: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK6_SY18
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV43 )
          = ( sK5_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV43 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[111]) ).

thf(148,plain,
    ! [SV44: $i,SV45: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV44 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV45 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV45 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[115]) ).

thf(149,plain,
    ! [SV46: $i,SV47: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV46 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV46 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV47 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[117]) ).

thf(150,plain,
    ! [SV48: $i,SV49: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV48 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV48 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV49 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV49 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[119]) ).

thf(151,plain,
    ! [SV50: $i,SV51: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV50 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV51 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV51 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[121]) ).

thf(152,plain,
    ! [SV52: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV52 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV52 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[127]) ).

thf(153,plain,
    ! [SV53: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV53 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[129]) ).

thf(154,plain,
    ! [SV54: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV54 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV54 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[135]) ).

thf(155,plain,
    ! [SV55: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV55 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV55 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[137]) ).

thf(156,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( ( ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[142]) ).

thf(157,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( ( ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[142]) ).

thf(158,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( ( ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[143]) ).

thf(159,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( ( ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[143]) ).

thf(160,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[144]) ).

thf(161,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[144]) ).

thf(162,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( ( ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[145]) ).

thf(163,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( ( ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[145]) ).

thf(164,plain,
    ! [SV42: $i] :
      ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[146]) ).

thf(165,plain,
    ! [SV42: $i] :
      ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[146]) ).

thf(166,plain,
    ! [SV43: $i] :
      ( ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[147]) ).

thf(167,plain,
    ! [SV43: $i] :
      ( ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[147]) ).

thf(168,plain,
    ! [SV44: $i,SV45: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV45 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV45 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[148]) ).

thf(169,plain,
    ! [SV44: $i,SV45: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV45 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV45 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV44 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[148]) ).

thf(170,plain,
    ! [SV46: $i,SV47: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV46 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV46 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[149]) ).

thf(171,plain,
    ! [SV46: $i,SV47: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV47 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV46 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV46 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[149]) ).

thf(172,plain,
    ! [SV48: $i,SV49: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV49 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV49 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV48 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV48 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[150]) ).

thf(173,plain,
    ! [SV48: $i,SV49: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV49 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV49 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV48 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV48 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[150]) ).

thf(174,plain,
    ! [SV50: $i,SV51: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV51 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV51 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[151]) ).

thf(175,plain,
    ! [SV50: $i,SV51: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV51 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV51 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV50 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[151]) ).

thf(176,plain,
    ! [SV52: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV52 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV52 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[152]) ).

thf(177,plain,
    ! [SV52: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV52 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV52 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[152]) ).

thf(178,plain,
    ! [SV53: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[153]) ).

thf(179,plain,
    ! [SV53: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV53 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[153]) ).

thf(180,plain,
    ! [SV54: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV54 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV54 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[154]) ).

thf(181,plain,
    ! [SV54: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK12_SY25
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV54 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV54 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[154]) ).

thf(182,plain,
    ! [SV55: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV55 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV55 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[155]) ).

thf(183,plain,
    ! [SV55: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK13_SY26
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV55 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV55 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[155]) ).

thf(184,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[157]) ).

thf(185,plain,
    ! [SV38: $i] :
      ( ( ( ( ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[157]) ).

thf(186,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[156]) ).

thf(187,plain,
    ! [SV38: $i] :
      ( ( ( ( ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[156]) ).

thf(188,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[159]) ).

thf(189,plain,
    ! [SV39: $i] :
      ( ( ( ( ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[159]) ).

thf(190,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[158]) ).

thf(191,plain,
    ! [SV39: $i] :
      ( ( ( ( ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[158]) ).

thf(192,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[161]) ).

thf(193,plain,
    ! [SV40: $i] :
      ( ( ( ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[161]) ).

thf(194,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[160]) ).

thf(195,plain,
    ! [SV40: $i] :
      ( ( ( ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[160]) ).

thf(196,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[163]) ).

thf(197,plain,
    ! [SV41: $i] :
      ( ( ( ( ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[163]) ).

thf(198,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
          | ~ ( ( ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[162]) ).

thf(199,plain,
    ! [SV41: $i] :
      ( ( ( ( ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          = ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[162]) ).

thf(200,plain,
    ! [SV42: $i] :
      ( ( ( ! [SV56: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV56 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV56 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[165]) ).

thf(201,plain,
    ! [SV42: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[165]) ).

thf(202,plain,
    ! [SV42: $i] :
      ( ( ( ! [SV57: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV57 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV57 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[164]) ).

thf(203,plain,
    ! [SV42: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[164]) ).

thf(204,plain,
    ! [SV43: $i] :
      ( ( ( ! [SV58: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV58 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV58 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[167]) ).

thf(205,plain,
    ! [SV43: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[167]) ).

thf(206,plain,
    ! [SV43: $i] :
      ( ( ( ! [SV59: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV59 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV59 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[166]) ).

thf(207,plain,
    ! [SV43: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[166]) ).

thf(208,plain,
    ( ( ( ! [SV60: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV60 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV60 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[113]) ).

thf(209,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[113]) ).

thf(210,plain,
    ( ( ( ! [SV61: $i] :
            ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV61 )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV61 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[125]) ).

thf(211,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[125]) ).

thf(212,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[184]) ).

thf(213,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[184]) ).

thf(214,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[186]) ).

thf(215,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[186]) ).

thf(216,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[188]) ).

thf(217,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[188]) ).

thf(218,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[190]) ).

thf(219,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[190]) ).

thf(220,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[192]) ).

thf(221,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[192]) ).

thf(222,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[194]) ).

thf(223,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[194]) ).

thf(224,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[196]) ).

thf(225,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[196]) ).

thf(226,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
                = ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[198]) ).

thf(227,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
              | ( ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
               != ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[198]) ).

thf(228,plain,
    ! [SV42: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK14_SV56 @ SV42 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK14_SV56 @ SV42 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[200]) ).

thf(229,plain,
    ! [SV42: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK15_SV57 @ SV42 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK15_SV57 @ SV42 ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[202]) ).

thf(230,plain,
    ! [SV43: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK16_SV58 @ SV43 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK16_SV58 @ SV43 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[204]) ).

thf(231,plain,
    ! [SV43: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK17_SV59 @ SV43 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK17_SV59 @ SV43 ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[206]) ).

thf(232,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK18_SV60 )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK18_SV60 ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[208]) ).

thf(233,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK19_SV61 )
        = ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK19_SV61 ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[210]) ).

thf(234,plain,
    ! [SV38: $i] :
      ( ( ( ( ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[212]) ).

thf(235,plain,
    ! [SV38: $i] :
      ( ( ( ( ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[213]) ).

thf(236,plain,
    ! [SV38: $i] :
      ( ( ( ( ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[214]) ).

thf(237,plain,
    ! [SV38: $i] :
      ( ( ( ( ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[215]) ).

thf(238,plain,
    ! [SV39: $i] :
      ( ( ( ( ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[216]) ).

thf(239,plain,
    ! [SV39: $i] :
      ( ( ( ( ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[217]) ).

thf(240,plain,
    ! [SV39: $i] :
      ( ( ( ( ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[218]) ).

thf(241,plain,
    ! [SV39: $i] :
      ( ( ( ( ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[219]) ).

thf(242,plain,
    ! [SV40: $i] :
      ( ( ( ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[220]) ).

thf(243,plain,
    ! [SV40: $i] :
      ( ( ( ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[221]) ).

thf(244,plain,
    ! [SV40: $i] :
      ( ( ( ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[222]) ).

thf(245,plain,
    ! [SV40: $i] :
      ( ( ( ( ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[223]) ).

thf(246,plain,
    ! [SV41: $i] :
      ( ( ( ( ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[224]) ).

thf(247,plain,
    ! [SV41: $i] :
      ( ( ( ( ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[225]) ).

thf(248,plain,
    ! [SV41: $i] :
      ( ( ( ( ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
            = ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[226]) ).

thf(249,plain,
    ! [SV41: $i] :
      ( ( ( ( ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
          | ( ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
           != ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[227]) ).

thf(250,plain,
    ! [SV42: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK14_SV56 @ SV42 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK14_SV56 @ SV42 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK14_SV56 @ SV42 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK14_SV56 @ SV42 ) ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[228]) ).

thf(252,plain,
    ! [SV42: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK15_SV57 @ SV42 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK15_SV57 @ SV42 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK15_SV57 @ SV42 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK15_SV57 @ SV42 ) ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[229]) ).

thf(254,plain,
    ! [SV43: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK16_SV58 @ SV43 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK16_SV58 @ SV43 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK16_SV58 @ SV43 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK16_SV58 @ SV43 ) ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[230]) ).

thf(256,plain,
    ! [SV43: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK17_SV59 @ SV43 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK17_SV59 @ SV43 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK17_SV59 @ SV43 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK17_SV59 @ SV43 ) ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[231]) ).

thf(258,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK18_SV60 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK18_SV60 ) )
        | ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK18_SV60 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK18_SV60 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[232]) ).

thf(260,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK19_SV61 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK19_SV61 ) )
        | ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK19_SV61 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK19_SV61 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[233]) ).

thf(262,plain,
    ! [SV38: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[234]) ).

thf(263,plain,
    ! [SV38: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[235]) ).

thf(264,plain,
    ! [SV38: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[236]) ).

thf(265,plain,
    ! [SV38: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[237]) ).

thf(266,plain,
    ! [SV39: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[238]) ).

thf(267,plain,
    ! [SV39: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[239]) ).

thf(268,plain,
    ! [SV39: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[240]) ).

thf(269,plain,
    ! [SV39: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[241]) ).

thf(270,plain,
    ! [SV40: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[242]) ).

thf(271,plain,
    ! [SV40: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[243]) ).

thf(272,plain,
    ! [SV40: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[244]) ).

thf(273,plain,
    ! [SV40: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[245]) ).

thf(274,plain,
    ! [SV41: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[246]) ).

thf(275,plain,
    ! [SV41: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[247]) ).

thf(276,plain,
    ! [SV41: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[248]) ).

thf(277,plain,
    ! [SV41: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[249]) ).

thf(278,plain,
    ! [SV42: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK14_SV56 @ SV42 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK14_SV56 @ SV42 ) ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[250]) ).

thf(279,plain,
    ! [SV42: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK14_SV56 @ SV42 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK14_SV56 @ SV42 ) ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[250]) ).

thf(280,plain,
    ! [SV42: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK15_SV57 @ SV42 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK15_SV57 @ SV42 ) ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[252]) ).

thf(281,plain,
    ! [SV42: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK15_SV57 @ SV42 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK15_SV57 @ SV42 ) ) ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[252]) ).

thf(282,plain,
    ! [SV43: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK16_SV58 @ SV43 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK16_SV58 @ SV43 ) ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[254]) ).

thf(283,plain,
    ! [SV43: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK16_SV58 @ SV43 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK16_SV58 @ SV43 ) ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[254]) ).

thf(284,plain,
    ! [SV43: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK17_SV59 @ SV43 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK17_SV59 @ SV43 ) ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[256]) ).

thf(285,plain,
    ! [SV43: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK17_SV59 @ SV43 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK17_SV59 @ SV43 ) ) ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[256]) ).

thf(286,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK18_SV60 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK18_SV60 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[258]) ).

thf(287,plain,
    ( ( ( ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK18_SV60 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK18_SV60 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[258]) ).

thf(288,plain,
    ( ( ( ~ ( ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK19_SV61 )
            | ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ sK19_SV61 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[260]) ).

thf(289,plain,
    ( ( ( ~ ( ~ ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK19_SV61 )
            | ~ ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ sK19_SV61 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[260]) ).

thf(290,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV62: $i] :
              ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV62 )
              = ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV62 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[262]) ).

thf(291,plain,
    ! [SV38: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[262]) ).

thf(292,plain,
    ! [SV38: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[263]) ).

thf(293,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV63: $i] :
              ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV63 )
              = ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV63 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[264]) ).

thf(294,plain,
    ! [SV38: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[264]) ).

thf(295,plain,
    ! [SV38: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[265]) ).

thf(296,plain,
    ! [SV39: $i] :
      ( ( ( ! [SV64: $i] :
              ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV64 )
              = ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV64 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[266]) ).

thf(297,plain,
    ! [SV39: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[266]) ).

thf(298,plain,
    ! [SV39: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[267]) ).

thf(299,plain,
    ! [SV39: $i] :
      ( ( ( ! [SV65: $i] :
              ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV65 )
              = ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV65 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[268]) ).

thf(300,plain,
    ! [SV39: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[268]) ).

thf(301,plain,
    ! [SV39: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[269]) ).

thf(302,plain,
    ! [SV40: $i] :
      ( ( ( ! [SV66: $i] :
              ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV66 )
              = ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV66 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[270]) ).

thf(303,plain,
    ! [SV40: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[270]) ).

thf(304,plain,
    ! [SV40: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[271]) ).

thf(305,plain,
    ! [SV40: $i] :
      ( ( ( ! [SV67: $i] :
              ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV67 )
              = ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV67 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[272]) ).

thf(306,plain,
    ! [SV40: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[272]) ).

thf(307,plain,
    ! [SV40: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[273]) ).

thf(308,plain,
    ! [SV41: $i] :
      ( ( ( ! [SV68: $i] :
              ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV68 )
              = ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV68 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[274]) ).

thf(309,plain,
    ! [SV41: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[274]) ).

thf(310,plain,
    ! [SV41: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[275]) ).

thf(311,plain,
    ! [SV41: $i] :
      ( ( ( ! [SV69: $i] :
              ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV69 )
              = ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV69 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[276]) ).

thf(312,plain,
    ! [SV41: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[276]) ).

thf(313,plain,
    ! [SV41: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[277]) ).

thf(314,plain,
    ! [SV42: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK14_SV56 @ SV42 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK14_SV56 @ SV42 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[278]) ).

thf(315,plain,
    ! [SV42: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK14_SV56 @ SV42 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK14_SV56 @ SV42 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[279]) ).

thf(316,plain,
    ! [SV42: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK15_SV57 @ SV42 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK15_SV57 @ SV42 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[280]) ).

thf(317,plain,
    ! [SV42: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK15_SV57 @ SV42 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK15_SV57 @ SV42 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[281]) ).

thf(318,plain,
    ! [SV43: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK16_SV58 @ SV43 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK16_SV58 @ SV43 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[282]) ).

thf(319,plain,
    ! [SV43: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV58 @ SV43 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV58 @ SV43 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[283]) ).

thf(320,plain,
    ! [SV43: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK17_SV59 @ SV43 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK17_SV59 @ SV43 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[284]) ).

thf(321,plain,
    ! [SV43: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV59 @ SV43 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV59 @ SV43 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[285]) ).

thf(322,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK18_SV60 )
        | ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK18_SV60 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[286]) ).

thf(323,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK18_SV60 )
        | ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK18_SV60 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[287]) ).

thf(324,plain,
    ( ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK19_SV61 )
        | ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ sK19_SV61 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[288]) ).

thf(325,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK19_SV61 )
        | ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK19_SV61 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[289]) ).

thf(326,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[290]) ).

thf(327,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV71: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV71 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV71 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[291]) ).

thf(328,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[291]) ).

thf(329,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV72: $i] :
              ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV72 )
              = ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV72 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[292]) ).

thf(330,plain,
    ! [SV38: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[292]) ).

thf(331,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[293]) ).

thf(332,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV74: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV74 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV74 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[294]) ).

thf(333,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[294]) ).

thf(334,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV75: $i] :
              ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV75 )
              = ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV75 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[295]) ).

thf(335,plain,
    ! [SV38: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[295]) ).

thf(336,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[296]) ).

thf(337,plain,
    ! [SV39: $i] :
      ( ( ( ! [SV77: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV77 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV77 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[297]) ).

thf(338,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[297]) ).

thf(339,plain,
    ! [SV39: $i] :
      ( ( ( ! [SV78: $i] :
              ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV78 )
              = ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV78 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[298]) ).

thf(340,plain,
    ! [SV39: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[298]) ).

thf(341,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[299]) ).

thf(342,plain,
    ! [SV39: $i] :
      ( ( ( ! [SV80: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV80 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV80 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[300]) ).

thf(343,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[300]) ).

thf(344,plain,
    ! [SV39: $i] :
      ( ( ( ! [SV81: $i] :
              ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV81 )
              = ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV81 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[301]) ).

thf(345,plain,
    ! [SV39: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[301]) ).

thf(346,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[302]) ).

thf(347,plain,
    ! [SV40: $i] :
      ( ( ( ! [SV83: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV83 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV83 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[303]) ).

thf(348,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[303]) ).

thf(349,plain,
    ! [SV40: $i] :
      ( ( ( ! [SV84: $i] :
              ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV84 )
              = ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV84 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[304]) ).

thf(350,plain,
    ! [SV40: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[304]) ).

thf(351,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[305]) ).

thf(352,plain,
    ! [SV40: $i] :
      ( ( ( ! [SV86: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV86 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV86 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[306]) ).

thf(353,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[306]) ).

thf(354,plain,
    ! [SV40: $i] :
      ( ( ( ! [SV87: $i] :
              ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV87 )
              = ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV87 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[307]) ).

thf(355,plain,
    ! [SV40: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[307]) ).

thf(356,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[308]) ).

thf(357,plain,
    ! [SV41: $i] :
      ( ( ( ! [SV89: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV89 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV89 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[309]) ).

thf(358,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[309]) ).

thf(359,plain,
    ! [SV41: $i] :
      ( ( ( ! [SV90: $i] :
              ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV90 )
              = ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV90 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[310]) ).

thf(360,plain,
    ! [SV41: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[310]) ).

thf(361,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[311]) ).

thf(362,plain,
    ! [SV41: $i] :
      ( ( ( ! [SV92: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV92 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV92 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[312]) ).

thf(363,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[312]) ).

thf(364,plain,
    ! [SV41: $i] :
      ( ( ( ! [SV93: $i] :
              ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV93 )
              = ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV93 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[313]) ).

thf(365,plain,
    ! [SV41: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[313]) ).

thf(366,plain,
    ! [SV42: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV56 @ SV42 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV56 @ SV42 ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[314]) ).

thf(367,plain,
    ! [SV42: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK14_SV56 @ SV42 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK14_SV56 @ SV42 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[315]) ).

thf(368,plain,
    ! [SV42: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV57 @ SV42 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV57 @ SV42 ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[316]) ).

thf(369,plain,
    ! [SV42: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK15_SV57 @ SV42 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK15_SV57 @ SV42 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[317]) ).

thf(370,plain,
    ! [SV43: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV58 @ SV43 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV58 @ SV43 ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[318]) ).

thf(371,plain,
    ! [SV43: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV58 @ SV43 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV58 @ SV43 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[319]) ).

thf(372,plain,
    ! [SV43: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV59 @ SV43 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV59 @ SV43 ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[320]) ).

thf(373,plain,
    ! [SV43: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV59 @ SV43 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV59 @ SV43 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[321]) ).

thf(374,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK18_SV60 )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK18_SV60 )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[322]) ).

thf(375,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK18_SV60 ) )
      = $true )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK18_SV60 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[323]) ).

thf(376,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK19_SV61 )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK19_SV61 )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[324]) ).

thf(377,plain,
    ( ( ( ~ ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK19_SV61 ) )
      = $true )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK19_SV61 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[325]) ).

thf(378,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV70 )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV70 ) )
          | ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[326]) ).

thf(379,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[326]) ).

thf(380,plain,
    ! [SV38: $i,SV94: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[327]) ).

thf(381,plain,
    ! [SV38: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK20_SV72 @ SV38 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK20_SV72 @ SV38 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[329]) ).

thf(382,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[330]) ).

thf(383,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV73 )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV73 ) )
          | ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[331]) ).

thf(384,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[331]) ).

thf(385,plain,
    ! [SV38: $i,SV95: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[332]) ).

thf(386,plain,
    ! [SV38: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK21_SV75 @ SV38 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK21_SV75 @ SV38 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[334]) ).

thf(387,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[335]) ).

thf(388,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( ~ ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV76 )
              | ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV76 ) )
          | ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[336]) ).

thf(389,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[336]) ).

thf(390,plain,
    ! [SV39: $i,SV96: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[337]) ).

thf(391,plain,
    ! [SV39: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK22_SV78 @ SV39 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK22_SV78 @ SV39 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[339]) ).

thf(392,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[340]) ).

thf(393,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( ~ ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV79 )
              | ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV79 ) )
          | ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[341]) ).

thf(394,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[341]) ).

thf(395,plain,
    ! [SV39: $i,SV97: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[342]) ).

thf(396,plain,
    ! [SV39: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK23_SV81 @ SV39 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK23_SV81 @ SV39 ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[344]) ).

thf(397,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[345]) ).

thf(398,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV82 )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV82 ) )
          | ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[346]) ).

thf(399,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[346]) ).

thf(400,plain,
    ! [SV40: $i,SV98: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[347]) ).

thf(401,plain,
    ! [SV40: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK24_SV84 @ SV40 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK24_SV84 @ SV40 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[349]) ).

thf(402,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[350]) ).

thf(403,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV85 )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV85 ) )
          | ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[351]) ).

thf(404,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[351]) ).

thf(405,plain,
    ! [SV40: $i,SV99: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV99 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV99 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[352]) ).

thf(406,plain,
    ! [SV40: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK25_SV87 @ SV40 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK25_SV87 @ SV40 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[354]) ).

thf(407,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[355]) ).

thf(408,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( ~ ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV88 )
              | ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV88 ) )
          | ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[356]) ).

thf(409,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[356]) ).

thf(410,plain,
    ! [SV41: $i,SV100: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV100 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV100 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[357]) ).

thf(411,plain,
    ! [SV41: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK26_SV90 @ SV41 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK26_SV90 @ SV41 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[359]) ).

thf(412,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[360]) ).

thf(413,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( ~ ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV91 )
              | ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV91 ) )
          | ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[361]) ).

thf(414,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[361]) ).

thf(415,plain,
    ! [SV41: $i,SV101: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[362]) ).

thf(416,plain,
    ! [SV41: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK27_SV93 @ SV41 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK27_SV93 @ SV41 ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[364]) ).

thf(417,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[365]) ).

thf(418,plain,
    ! [SV42: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV56 @ SV42 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK14_SV56 @ SV42 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[367]) ).

thf(419,plain,
    ! [SV42: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV57 @ SV42 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK15_SV57 @ SV42 ) ) )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[369]) ).

thf(420,plain,
    ! [SV43: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV58 @ SV43 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK16_SV58 @ SV43 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[371]) ).

thf(421,plain,
    ! [SV43: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV59 @ SV43 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK17_SV59 @ SV43 ) ) )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[373]) ).

thf(422,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK18_SV60 )
      = $false )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK18_SV60 ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[375]) ).

thf(423,plain,
    ( ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK19_SV61 )
      = $false )
    | ( ( ~ ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ sK19_SV61 ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[377]) ).

thf(424,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV70 )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV70 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[378]) ).

thf(425,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( ! [SV102: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV102 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV102 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[379]) ).

thf(426,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[379]) ).

thf(427,plain,
    ! [SV38: $i,SV94: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV94 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV94 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[380]) ).

thf(428,plain,
    ! [SV38: $i,SV94: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[380]) ).

thf(429,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK20_SV72 @ SV38 ) )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK20_SV72 @ SV38 ) ) )
          | ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK20_SV72 @ SV38 ) )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK20_SV72 @ SV38 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[381]) ).

thf(431,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV103: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV103 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV103 ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[382]) ).

thf(432,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[382]) ).

thf(433,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV73 )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV73 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[383]) ).

thf(434,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( ! [SV104: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV104 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV104 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[384]) ).

thf(435,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[384]) ).

thf(436,plain,
    ! [SV38: $i,SV95: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV95 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV95 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[385]) ).

thf(437,plain,
    ! [SV38: $i,SV95: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[385]) ).

thf(438,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK21_SV75 @ SV38 ) )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK21_SV75 @ SV38 ) ) )
          | ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK21_SV75 @ SV38 ) )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK21_SV75 @ SV38 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[386]) ).

thf(440,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV105: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV105 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV105 ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[387]) ).

thf(441,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[387]) ).

thf(442,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( ~ ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV76 )
              | ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV76 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[388]) ).

thf(443,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( ! [SV106: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV106 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV106 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[389]) ).

thf(444,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[389]) ).

thf(445,plain,
    ! [SV39: $i,SV96: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV96 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV96 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[390]) ).

thf(446,plain,
    ! [SV39: $i,SV96: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[390]) ).

thf(447,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK22_SV78 @ SV39 ) )
              | ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK22_SV78 @ SV39 ) ) )
          | ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK22_SV78 @ SV39 ) )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK22_SV78 @ SV39 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[391]) ).

thf(449,plain,
    ! [SV39: $i] :
      ( ( ( ! [SV107: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV107 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV107 ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[392]) ).

thf(450,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[392]) ).

thf(451,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( ~ ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV79 )
              | ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV79 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[393]) ).

thf(452,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( ! [SV108: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV108 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV108 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[394]) ).

thf(453,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[394]) ).

thf(454,plain,
    ! [SV39: $i,SV97: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV97 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV97 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[395]) ).

thf(455,plain,
    ! [SV39: $i,SV97: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[395]) ).

thf(456,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK23_SV81 @ SV39 ) )
              | ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK23_SV81 @ SV39 ) ) )
          | ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK23_SV81 @ SV39 ) )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK23_SV81 @ SV39 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[396]) ).

thf(458,plain,
    ! [SV39: $i] :
      ( ( ( ! [SV109: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV109 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV109 ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[397]) ).

thf(459,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[397]) ).

thf(460,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV82 )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV82 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[398]) ).

thf(461,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( ! [SV110: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV110 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV110 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[399]) ).

thf(462,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[399]) ).

thf(463,plain,
    ! [SV40: $i,SV98: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV98 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV98 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[400]) ).

thf(464,plain,
    ! [SV40: $i,SV98: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[400]) ).

thf(465,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK24_SV84 @ SV40 ) )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK24_SV84 @ SV40 ) ) )
          | ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK24_SV84 @ SV40 ) )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK24_SV84 @ SV40 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[401]) ).

thf(467,plain,
    ! [SV40: $i] :
      ( ( ( ! [SV111: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV111 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV111 ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[402]) ).

thf(468,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[402]) ).

thf(469,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV85 )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV85 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[403]) ).

thf(470,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( ! [SV112: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV112 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV112 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[404]) ).

thf(471,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[404]) ).

thf(472,plain,
    ! [SV40: $i,SV99: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV99 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV99 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[405]) ).

thf(473,plain,
    ! [SV40: $i,SV99: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV99 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV99 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[405]) ).

thf(474,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK25_SV87 @ SV40 ) )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK25_SV87 @ SV40 ) ) )
          | ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK25_SV87 @ SV40 ) )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK25_SV87 @ SV40 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[406]) ).

thf(476,plain,
    ! [SV40: $i] :
      ( ( ( ! [SV113: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV113 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV113 ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[407]) ).

thf(477,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[407]) ).

thf(478,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( ~ ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV88 )
              | ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV88 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[408]) ).

thf(479,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( ! [SV114: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV114 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV114 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[409]) ).

thf(480,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[409]) ).

thf(481,plain,
    ! [SV41: $i,SV100: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV100 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV100 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[410]) ).

thf(482,plain,
    ! [SV41: $i,SV100: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV100 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV100 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[410]) ).

thf(483,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK26_SV90 @ SV41 ) )
              | ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK26_SV90 @ SV41 ) ) )
          | ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK26_SV90 @ SV41 ) )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK26_SV90 @ SV41 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[411]) ).

thf(485,plain,
    ! [SV41: $i] :
      ( ( ( ! [SV115: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV115 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV115 ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[412]) ).

thf(486,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[412]) ).

thf(487,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( ~ ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV91 )
              | ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV91 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[413]) ).

thf(488,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( ! [SV116: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV116 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV116 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[414]) ).

thf(489,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[414]) ).

thf(490,plain,
    ! [SV41: $i,SV101: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV101 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV101 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[415]) ).

thf(491,plain,
    ! [SV41: $i,SV101: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[415]) ).

thf(492,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK27_SV93 @ SV41 ) )
              | ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK27_SV93 @ SV41 ) ) )
          | ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK27_SV93 @ SV41 ) )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK27_SV93 @ SV41 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[416]) ).

thf(494,plain,
    ! [SV41: $i] :
      ( ( ( ! [SV117: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV117 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV117 ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[417]) ).

thf(495,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[417]) ).

thf(496,plain,
    ! [SV42: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV56 @ SV42 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK14_SV56 @ SV42 ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[418]) ).

thf(497,plain,
    ! [SV42: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV57 @ SV42 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK15_SV57 @ SV42 ) )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[419]) ).

thf(498,plain,
    ! [SV43: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV58 @ SV43 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK16_SV58 @ SV43 ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[420]) ).

thf(499,plain,
    ! [SV43: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV59 @ SV43 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK17_SV59 @ SV43 ) )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[421]) ).

thf(500,plain,
    ( ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK18_SV60 )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK18_SV60 )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[422]) ).

thf(501,plain,
    ( ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK19_SV61 )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK19_SV61 )
      = $false )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[423]) ).

thf(502,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          | ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $false )
      | ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[424]) ).

thf(503,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV118 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV118 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[425]) ).

thf(504,plain,
    ! [SV38: $i,SV94: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV94 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV94 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[427]) ).

thf(505,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK20_SV72 @ SV38 ) )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK20_SV72 @ SV38 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[429]) ).

thf(506,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK20_SV72 @ SV38 ) )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK20_SV72 @ SV38 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[429]) ).

thf(508,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK28_SV103 @ SV38 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK28_SV103 @ SV38 ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[431]) ).

thf(509,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          | ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $false )
      | ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[433]) ).

thf(510,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV119 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV119 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[434]) ).

thf(511,plain,
    ! [SV38: $i,SV95: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV95 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV95 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[436]) ).

thf(512,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK21_SV75 @ SV38 ) )
              | ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK21_SV75 @ SV38 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[438]) ).

thf(513,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK21_SV75 @ SV38 ) )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK21_SV75 @ SV38 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[438]) ).

thf(515,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK29_SV105 @ SV38 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK29_SV105 @ SV38 ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[440]) ).

thf(516,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          | ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $false )
      | ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[442]) ).

thf(517,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV120 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV120 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[443]) ).

thf(518,plain,
    ! [SV39: $i,SV96: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV96 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV96 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[445]) ).

thf(519,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK22_SV78 @ SV39 ) )
              | ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK22_SV78 @ SV39 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[447]) ).

thf(520,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK22_SV78 @ SV39 ) )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK22_SV78 @ SV39 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[447]) ).

thf(522,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK30_SV107 @ SV39 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK30_SV107 @ SV39 ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[449]) ).

thf(523,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          | ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $false )
      | ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[451]) ).

thf(524,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV121 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV121 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[452]) ).

thf(525,plain,
    ! [SV39: $i,SV97: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV97 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV97 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[454]) ).

thf(526,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK10_SY21
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK23_SV81 @ SV39 ) )
              | ( sK8_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK23_SV81 @ SV39 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[456]) ).

thf(527,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK23_SV81 @ SV39 ) )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK23_SV81 @ SV39 ) ) ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[456]) ).

thf(529,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK31_SV109 @ SV39 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK31_SV109 @ SV39 ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[458]) ).

thf(530,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          | ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $false )
      | ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[460]) ).

thf(531,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[461]) ).

thf(532,plain,
    ! [SV40: $i,SV98: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV98 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV98 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[463]) ).

thf(533,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK24_SV84 @ SV40 ) )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK24_SV84 @ SV40 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[465]) ).

thf(534,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK24_SV84 @ SV40 ) )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK24_SV84 @ SV40 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[465]) ).

thf(536,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK32_SV111 @ SV40 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK32_SV111 @ SV40 ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[467]) ).

thf(537,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          | ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $false )
      | ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[469]) ).

thf(538,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV123 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV123 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[470]) ).

thf(539,plain,
    ! [SV40: $i,SV99: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV99 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV99 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[472]) ).

thf(540,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK25_SV87 @ SV40 ) )
              | ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK25_SV87 @ SV40 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[474]) ).

thf(541,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK25_SV87 @ SV40 ) )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK25_SV87 @ SV40 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[474]) ).

thf(543,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK33_SV113 @ SV40 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK33_SV113 @ SV40 ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[476]) ).

thf(544,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          | ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $false )
      | ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[478]) ).

thf(545,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV124 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV124 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[479]) ).

thf(546,plain,
    ! [SV41: $i,SV100: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV100 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV100 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[481]) ).

thf(547,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK26_SV90 @ SV41 ) )
              | ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK26_SV90 @ SV41 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[483]) ).

thf(548,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK26_SV90 @ SV41 ) )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK26_SV90 @ SV41 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[483]) ).

thf(550,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK34_SV115 @ SV41 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK34_SV115 @ SV41 ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[485]) ).

thf(551,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          | ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $false )
      | ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[487]) ).

thf(552,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV125 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV125 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[488]) ).

thf(553,plain,
    ! [SV41: $i,SV101: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV101 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV101 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[490]) ).

thf(554,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( sK11_SY23
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK27_SV93 @ SV41 ) )
              | ( sK9_SY12
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK27_SV93 @ SV41 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[492]) ).

thf(555,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK27_SV93 @ SV41 ) )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK27_SV93 @ SV41 ) ) ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[492]) ).

thf(557,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK35_SV117 @ SV41 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK35_SV117 @ SV41 ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[494]) ).

thf(558,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[502]) ).

thf(559,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV70 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[502]) ).

thf(560,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV118 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV118 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[503]) ).

thf(561,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV118 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV118 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[503]) ).

thf(562,plain,
    ! [SV38: $i,SV94: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[504]) ).

thf(563,plain,
    ! [SV38: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK20_SV72 @ SV38 ) )
          | ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK20_SV72 @ SV38 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[505]) ).

thf(564,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK20_SV72 @ SV38 ) )
          | ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK20_SV72 @ SV38 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[506]) ).

thf(567,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK28_SV103 @ SV38 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK28_SV103 @ SV38 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK28_SV103 @ SV38 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK28_SV103 @ SV38 ) ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[508]) ).

thf(569,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[509]) ).

thf(570,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ~ ( ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 )
              | ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV73 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[509]) ).

thf(571,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV119 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV119 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[510]) ).

thf(572,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV119 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV119 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[510]) ).

thf(573,plain,
    ! [SV38: $i,SV95: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[511]) ).

thf(574,plain,
    ! [SV38: $i] :
      ( ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK21_SV75 @ SV38 ) )
          | ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK21_SV75 @ SV38 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[512]) ).

thf(575,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK21_SV75 @ SV38 ) )
          | ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK21_SV75 @ SV38 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[513]) ).

thf(578,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK29_SV105 @ SV38 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK29_SV105 @ SV38 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK29_SV105 @ SV38 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK29_SV105 @ SV38 ) ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[515]) ).

thf(580,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[516]) ).

thf(581,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV76 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[516]) ).

thf(582,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV120 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV120 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[517]) ).

thf(583,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV120 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV120 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[517]) ).

thf(584,plain,
    ! [SV39: $i,SV96: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[518]) ).

thf(585,plain,
    ! [SV39: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK22_SV78 @ SV39 ) )
          | ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK22_SV78 @ SV39 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[519]) ).

thf(586,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK22_SV78 @ SV39 ) )
          | ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK22_SV78 @ SV39 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[520]) ).

thf(589,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK30_SV107 @ SV39 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK30_SV107 @ SV39 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK30_SV107 @ SV39 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK30_SV107 @ SV39 ) ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[522]) ).

thf(591,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[523]) ).

thf(592,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ~ ( ~ ( sK10_SY21
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 )
              | ~ ( sK8_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV79 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[523]) ).

thf(593,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV121 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV121 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[524]) ).

thf(594,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV121 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV121 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[524]) ).

thf(595,plain,
    ! [SV39: $i,SV97: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[525]) ).

thf(596,plain,
    ! [SV39: $i] :
      ( ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK23_SV81 @ SV39 ) )
          | ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK23_SV81 @ SV39 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[526]) ).

thf(597,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV81 @ SV39 ) )
          | ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV81 @ SV39 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[527]) ).

thf(600,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK31_SV109 @ SV39 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK31_SV109 @ SV39 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK31_SV109 @ SV39 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK31_SV109 @ SV39 ) ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[529]) ).

thf(602,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[530]) ).

thf(603,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV82 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[530]) ).

thf(604,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV122 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV122 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[531]) ).

thf(605,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[531]) ).

thf(606,plain,
    ! [SV40: $i,SV98: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[532]) ).

thf(607,plain,
    ! [SV40: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK24_SV84 @ SV40 ) )
          | ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK24_SV84 @ SV40 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[533]) ).

thf(608,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV84 @ SV40 ) )
          | ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV84 @ SV40 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[534]) ).

thf(611,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK32_SV111 @ SV40 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK32_SV111 @ SV40 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK32_SV111 @ SV40 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK32_SV111 @ SV40 ) ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[536]) ).

thf(613,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[537]) ).

thf(614,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ~ ( ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 )
              | ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV85 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[537]) ).

thf(615,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV123 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV123 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[538]) ).

thf(616,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV123 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV123 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[538]) ).

thf(617,plain,
    ! [SV40: $i,SV99: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV99 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV99 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[539]) ).

thf(618,plain,
    ! [SV40: $i] :
      ( ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK25_SV87 @ SV40 ) )
          | ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK25_SV87 @ SV40 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[540]) ).

thf(619,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK25_SV87 @ SV40 ) )
          | ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK25_SV87 @ SV40 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[541]) ).

thf(622,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK33_SV113 @ SV40 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK33_SV113 @ SV40 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK33_SV113 @ SV40 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK33_SV113 @ SV40 ) ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[543]) ).

thf(624,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[544]) ).

thf(625,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV88 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[544]) ).

thf(626,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV124 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV124 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[545]) ).

thf(627,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV124 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV124 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[545]) ).

thf(628,plain,
    ! [SV41: $i,SV100: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV100 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV100 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[546]) ).

thf(629,plain,
    ! [SV41: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK26_SV90 @ SV41 ) )
          | ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK26_SV90 @ SV41 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[547]) ).

thf(630,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK26_SV90 @ SV41 ) )
          | ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK26_SV90 @ SV41 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[548]) ).

thf(633,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK34_SV115 @ SV41 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK34_SV115 @ SV41 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK34_SV115 @ SV41 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK34_SV115 @ SV41 ) ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[550]) ).

thf(635,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[551]) ).

thf(636,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( ~ ( ~ ( sK11_SY23
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 )
              | ~ ( sK9_SY12
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV91 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[551]) ).

thf(637,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV125 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV125 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[552]) ).

thf(638,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV125 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV125 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[552]) ).

thf(639,plain,
    ! [SV41: $i,SV101: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[553]) ).

thf(640,plain,
    ! [SV41: $i] :
      ( ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK27_SV93 @ SV41 ) )
          | ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK27_SV93 @ SV41 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[554]) ).

thf(641,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV93 @ SV41 ) )
          | ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV93 @ SV41 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[555]) ).

thf(644,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK35_SV117 @ SV41 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK35_SV117 @ SV41 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK35_SV117 @ SV41 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK35_SV117 @ SV41 ) ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[557]) ).

thf(646,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV70 )
          | ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV70 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[558]) ).

thf(647,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV70 )
          | ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV70 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[559]) ).

thf(648,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV118 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV118 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[560]) ).

thf(649,plain,
    ! [SV38: $i,SV94: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[562]) ).

thf(650,plain,
    ! [SV38: $i,SV94: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV94 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[562]) ).

thf(651,plain,
    ! [SV38: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[563]) ).

thf(652,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK20_SV72 @ SV38 ) ) )
        = $true )
      | ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK20_SV72 @ SV38 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[564]) ).

thf(654,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK28_SV103 @ SV38 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK28_SV103 @ SV38 ) ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[567]) ).

thf(655,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK28_SV103 @ SV38 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK28_SV103 @ SV38 ) ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[567]) ).

thf(656,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV73 )
          | ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV73 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[569]) ).

thf(657,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV73 )
          | ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV73 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[570]) ).

thf(658,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV119 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV119 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[571]) ).

thf(659,plain,
    ! [SV38: $i,SV95: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[573]) ).

thf(660,plain,
    ! [SV38: $i,SV95: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV95 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[573]) ).

thf(661,plain,
    ! [SV38: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[574]) ).

thf(662,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK21_SV75 @ SV38 ) ) )
        = $true )
      | ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK21_SV75 @ SV38 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[575]) ).

thf(664,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK29_SV105 @ SV38 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK29_SV105 @ SV38 ) ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[578]) ).

thf(665,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK29_SV105 @ SV38 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK29_SV105 @ SV38 ) ) ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[578]) ).

thf(666,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV76 )
          | ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV76 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[580]) ).

thf(667,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV76 )
          | ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV76 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[581]) ).

thf(668,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV120 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV120 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[582]) ).

thf(669,plain,
    ! [SV39: $i,SV96: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[584]) ).

thf(670,plain,
    ! [SV39: $i,SV96: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV96 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[584]) ).

thf(671,plain,
    ! [SV39: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[585]) ).

thf(672,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK22_SV78 @ SV39 ) ) )
        = $true )
      | ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK22_SV78 @ SV39 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[586]) ).

thf(674,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK30_SV107 @ SV39 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK30_SV107 @ SV39 ) ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[589]) ).

thf(675,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK30_SV107 @ SV39 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK30_SV107 @ SV39 ) ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[589]) ).

thf(676,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV79 )
          | ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV79 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[591]) ).

thf(677,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV79 )
          | ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV79 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[592]) ).

thf(678,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV121 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV121 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[593]) ).

thf(679,plain,
    ! [SV39: $i,SV97: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[595]) ).

thf(680,plain,
    ! [SV39: $i,SV97: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV97 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[595]) ).

thf(681,plain,
    ! [SV39: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[596]) ).

thf(682,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV81 @ SV39 ) ) )
        = $true )
      | ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV81 @ SV39 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[597]) ).

thf(684,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK31_SV109 @ SV39 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK31_SV109 @ SV39 ) ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[600]) ).

thf(685,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK31_SV109 @ SV39 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK31_SV109 @ SV39 ) ) ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[600]) ).

thf(686,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV82 )
          | ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV82 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[602]) ).

thf(687,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV82 )
          | ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV82 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[603]) ).

thf(688,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV122 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV122 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[604]) ).

thf(689,plain,
    ! [SV40: $i,SV98: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[606]) ).

thf(690,plain,
    ! [SV40: $i,SV98: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV98 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[606]) ).

thf(691,plain,
    ! [SV40: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[607]) ).

thf(692,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV84 @ SV40 ) ) )
        = $true )
      | ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV84 @ SV40 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[608]) ).

thf(694,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK32_SV111 @ SV40 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK32_SV111 @ SV40 ) ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[611]) ).

thf(695,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK32_SV111 @ SV40 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK32_SV111 @ SV40 ) ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[611]) ).

thf(696,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV85 )
          | ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV85 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[613]) ).

thf(697,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV85 )
          | ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV85 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[614]) ).

thf(698,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV123 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV123 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[615]) ).

thf(699,plain,
    ! [SV40: $i,SV99: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[617]) ).

thf(700,plain,
    ! [SV40: $i,SV99: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV99 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[617]) ).

thf(701,plain,
    ! [SV40: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[618]) ).

thf(702,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK25_SV87 @ SV40 ) ) )
        = $true )
      | ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK25_SV87 @ SV40 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[619]) ).

thf(704,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK33_SV113 @ SV40 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK33_SV113 @ SV40 ) ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[622]) ).

thf(705,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK33_SV113 @ SV40 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK33_SV113 @ SV40 ) ) ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[622]) ).

thf(706,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV88 )
          | ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV88 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[624]) ).

thf(707,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV88 )
          | ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV88 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[625]) ).

thf(708,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV124 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV124 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[626]) ).

thf(709,plain,
    ! [SV41: $i,SV100: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[628]) ).

thf(710,plain,
    ! [SV41: $i,SV100: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV100 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[628]) ).

thf(711,plain,
    ! [SV41: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[629]) ).

thf(712,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK26_SV90 @ SV41 ) ) )
        = $true )
      | ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK26_SV90 @ SV41 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[630]) ).

thf(714,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK34_SV115 @ SV41 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK34_SV115 @ SV41 ) ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[633]) ).

thf(715,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK34_SV115 @ SV41 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK34_SV115 @ SV41 ) ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[633]) ).

thf(716,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV91 )
          | ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV91 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[635]) ).

thf(717,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV91 )
          | ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV91 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[636]) ).

thf(718,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV125 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV125 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[637]) ).

thf(719,plain,
    ! [SV41: $i,SV101: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[639]) ).

thf(720,plain,
    ! [SV41: $i,SV101: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV101 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[639]) ).

thf(721,plain,
    ! [SV41: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[640]) ).

thf(722,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV93 @ SV41 ) ) )
        = $true )
      | ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV93 @ SV41 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[641]) ).

thf(724,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK35_SV117 @ SV41 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK35_SV117 @ SV41 ) ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[644]) ).

thf(725,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK35_SV117 @ SV41 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK35_SV117 @ SV41 ) ) ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[644]) ).

thf(727,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV70 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[646]) ).

thf(728,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV70 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[647]) ).

thf(730,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV118 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV118 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[648]) ).

thf(731,plain,
    ! [SV38: $i,SV94: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV94 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV94 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[649]) ).

thf(732,plain,
    ! [SV38: $i,SV94: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV94 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV94 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[650]) ).

thf(733,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[651]) ).

thf(734,plain,
    ! [SV38: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK20_SV72 @ SV38 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[652]) ).

thf(737,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK28_SV103 @ SV38 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK28_SV103 @ SV38 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[654]) ).

thf(738,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV103 @ SV38 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV103 @ SV38 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[655]) ).

thf(740,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV73 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[656]) ).

thf(741,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV73 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[657]) ).

thf(743,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV119 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV119 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[658]) ).

thf(744,plain,
    ! [SV38: $i,SV95: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV95 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV95 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[659]) ).

thf(745,plain,
    ! [SV38: $i,SV95: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV95 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV95 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[660]) ).

thf(746,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[661]) ).

thf(747,plain,
    ! [SV38: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK21_SV75 @ SV38 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[662]) ).

thf(750,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK29_SV105 @ SV38 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK29_SV105 @ SV38 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[664]) ).

thf(751,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV105 @ SV38 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV105 @ SV38 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[665]) ).

thf(753,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV76 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[666]) ).

thf(754,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV76 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[667]) ).

thf(756,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV120 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV120 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[668]) ).

thf(757,plain,
    ! [SV39: $i,SV96: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV96 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV96 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[669]) ).

thf(758,plain,
    ! [SV39: $i,SV96: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV96 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV96 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[670]) ).

thf(759,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[671]) ).

thf(760,plain,
    ! [SV39: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK22_SV78 @ SV39 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[672]) ).

thf(763,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK30_SV107 @ SV39 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK30_SV107 @ SV39 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[674]) ).

thf(764,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK30_SV107 @ SV39 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK30_SV107 @ SV39 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[675]) ).

thf(766,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV79 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[676]) ).

thf(767,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( ~ ( sK10_SY21
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV79 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[677]) ).

thf(769,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV121 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV121 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[678]) ).

thf(770,plain,
    ! [SV39: $i,SV97: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV97 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV97 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[679]) ).

thf(771,plain,
    ! [SV39: $i,SV97: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV97 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV97 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[680]) ).

thf(772,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[681]) ).

thf(773,plain,
    ! [SV39: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( ~ ( sK8_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK23_SV81 @ SV39 ) ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[682]) ).

thf(776,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK31_SV109 @ SV39 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK31_SV109 @ SV39 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[684]) ).

thf(777,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK31_SV109 @ SV39 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK31_SV109 @ SV39 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[685]) ).

thf(779,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV82 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[686]) ).

thf(780,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV82 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[687]) ).

thf(782,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV122 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[688]) ).

thf(783,plain,
    ! [SV40: $i,SV98: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV98 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV98 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[689]) ).

thf(784,plain,
    ! [SV40: $i,SV98: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV98 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV98 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[690]) ).

thf(785,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[691]) ).

thf(786,plain,
    ! [SV40: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK24_SV84 @ SV40 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[692]) ).

thf(789,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK32_SV111 @ SV40 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK32_SV111 @ SV40 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[694]) ).

thf(790,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK32_SV111 @ SV40 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK32_SV111 @ SV40 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[695]) ).

thf(792,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV85 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[696]) ).

thf(793,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV85 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[697]) ).

thf(795,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV123 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV123 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[698]) ).

thf(796,plain,
    ! [SV40: $i,SV99: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV99 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV99 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[699]) ).

thf(797,plain,
    ! [SV40: $i,SV99: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV99 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV99 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[700]) ).

thf(798,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[701]) ).

thf(799,plain,
    ! [SV40: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK25_SV87 @ SV40 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[702]) ).

thf(802,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK33_SV113 @ SV40 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK33_SV113 @ SV40 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[704]) ).

thf(803,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK33_SV113 @ SV40 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK33_SV113 @ SV40 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[705]) ).

thf(805,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV88 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[706]) ).

thf(806,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV88 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[707]) ).

thf(808,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV124 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV124 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[708]) ).

thf(809,plain,
    ! [SV41: $i,SV100: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV100 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV100 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[709]) ).

thf(810,plain,
    ! [SV41: $i,SV100: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV100 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV100 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[710]) ).

thf(811,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[711]) ).

thf(812,plain,
    ! [SV41: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK26_SV90 @ SV41 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[712]) ).

thf(815,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK34_SV115 @ SV41 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK34_SV115 @ SV41 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[714]) ).

thf(816,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK34_SV115 @ SV41 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK34_SV115 @ SV41 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[715]) ).

thf(818,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV91 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[716]) ).

thf(819,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( ~ ( sK11_SY23
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV91 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[717]) ).

thf(821,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV125 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV125 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[718]) ).

thf(822,plain,
    ! [SV41: $i,SV101: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV101 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV101 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[719]) ).

thf(823,plain,
    ! [SV41: $i,SV101: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV101 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV101 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[720]) ).

thf(824,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[721]) ).

thf(825,plain,
    ! [SV41: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( ~ ( sK9_SY12
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK27_SV93 @ SV41 ) ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[722]) ).

thf(828,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK35_SV117 @ SV41 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK35_SV117 @ SV41 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[724]) ).

thf(829,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK35_SV117 @ SV41 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK35_SV117 @ SV41 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[725]) ).

thf(831,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[727]) ).

thf(832,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[728]) ).

thf(834,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[730]) ).

thf(835,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV118 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[730]) ).

thf(837,plain,
    ! [SV38: $i,SV94: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV94 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[731]) ).

thf(838,plain,
    ! [SV38: $i,SV94: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV94 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[732]) ).

thf(840,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV134: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV134 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV134 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[733]) ).

thf(841,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[733]) ).

thf(842,plain,
    ! [SV38: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[734]) ).

thf(845,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV103 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV103 @ SV38 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[737]) ).

thf(846,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV103 @ SV38 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV103 @ SV38 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[738]) ).

thf(848,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[740]) ).

thf(849,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[741]) ).

thf(851,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[743]) ).

thf(852,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV119 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[743]) ).

thf(854,plain,
    ! [SV38: $i,SV95: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV95 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[744]) ).

thf(855,plain,
    ! [SV38: $i,SV95: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV95 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[745]) ).

thf(857,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV135: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV135 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV135 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[746]) ).

thf(858,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[746]) ).

thf(859,plain,
    ! [SV38: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[747]) ).

thf(862,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV105 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV105 @ SV38 ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[750]) ).

thf(863,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV105 @ SV38 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV105 @ SV38 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[751]) ).

thf(865,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[753]) ).

thf(866,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[754]) ).

thf(868,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[756]) ).

thf(869,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV120 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[756]) ).

thf(871,plain,
    ! [SV39: $i,SV96: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV96 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[757]) ).

thf(872,plain,
    ! [SV39: $i,SV96: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV96 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[758]) ).

thf(874,plain,
    ! [SV39: $i] :
      ( ( ( ! [SV136: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV136 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV136 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[759]) ).

thf(875,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[759]) ).

thf(876,plain,
    ! [SV39: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[760]) ).

thf(879,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV107 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV107 @ SV39 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[763]) ).

thf(880,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK30_SV107 @ SV39 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK30_SV107 @ SV39 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[764]) ).

thf(882,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[766]) ).

thf(883,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[767]) ).

thf(885,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[769]) ).

thf(886,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV121 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[769]) ).

thf(888,plain,
    ! [SV39: $i,SV97: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV97 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[770]) ).

thf(889,plain,
    ! [SV39: $i,SV97: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV97 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[771]) ).

thf(891,plain,
    ! [SV39: $i] :
      ( ( ( ! [SV137: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV137 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV137 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[772]) ).

thf(892,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[772]) ).

thf(893,plain,
    ! [SV39: $i] :
      ( ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[773]) ).

thf(896,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK31_SV109 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK31_SV109 @ SV39 ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[776]) ).

thf(897,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK31_SV109 @ SV39 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK31_SV109 @ SV39 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[777]) ).

thf(899,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[779]) ).

thf(900,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[780]) ).

thf(902,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[782]) ).

thf(903,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV122 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[782]) ).

thf(905,plain,
    ! [SV40: $i,SV98: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV98 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[783]) ).

thf(906,plain,
    ! [SV40: $i,SV98: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV98 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[784]) ).

thf(908,plain,
    ! [SV40: $i] :
      ( ( ( ! [SV138: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV138 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV138 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[785]) ).

thf(909,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[785]) ).

thf(910,plain,
    ! [SV40: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[786]) ).

thf(913,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV111 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV111 @ SV40 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[789]) ).

thf(914,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK32_SV111 @ SV40 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK32_SV111 @ SV40 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[790]) ).

thf(916,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[792]) ).

thf(917,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[793]) ).

thf(919,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[795]) ).

thf(920,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV123 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[795]) ).

thf(922,plain,
    ! [SV40: $i,SV99: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV99 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[796]) ).

thf(923,plain,
    ! [SV40: $i,SV99: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV99 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[797]) ).

thf(925,plain,
    ! [SV40: $i] :
      ( ( ( ! [SV139: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV139 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV139 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[798]) ).

thf(926,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[798]) ).

thf(927,plain,
    ! [SV40: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[799]) ).

thf(930,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV113 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV113 @ SV40 ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[802]) ).

thf(931,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK33_SV113 @ SV40 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK33_SV113 @ SV40 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[803]) ).

thf(933,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[805]) ).

thf(934,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[806]) ).

thf(936,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[808]) ).

thf(937,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV124 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[808]) ).

thf(939,plain,
    ! [SV41: $i,SV100: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV100 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[809]) ).

thf(940,plain,
    ! [SV41: $i,SV100: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV100 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[810]) ).

thf(942,plain,
    ! [SV41: $i] :
      ( ( ( ! [SV140: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV140 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV140 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[811]) ).

thf(943,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[811]) ).

thf(944,plain,
    ! [SV41: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[812]) ).

thf(947,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV115 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV115 @ SV41 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[815]) ).

thf(948,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK34_SV115 @ SV41 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK34_SV115 @ SV41 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[816]) ).

thf(950,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[818]) ).

thf(951,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[819]) ).

thf(953,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[821]) ).

thf(954,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV125 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[821]) ).

thf(956,plain,
    ! [SV41: $i,SV101: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV101 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[822]) ).

thf(957,plain,
    ! [SV41: $i,SV101: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV101 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[823]) ).

thf(959,plain,
    ! [SV41: $i] :
      ( ( ( ! [SV141: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV141 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV141 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[824]) ).

thf(960,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[824]) ).

thf(961,plain,
    ! [SV41: $i] :
      ( ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
         != ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[825]) ).

thf(964,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV117 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV117 @ SV41 ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[828]) ).

thf(965,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK35_SV117 @ SV41 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK35_SV117 @ SV41 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[829]) ).

thf(968,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( ! [SV143: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV143 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV143 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[831]) ).

thf(969,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[831]) ).

thf(970,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( ! [SV144: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV144 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV144 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[832]) ).

thf(971,plain,
    ! [SV38: $i,SV70: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[832]) ).

thf(974,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV118 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV118 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[834]) ).

thf(975,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV118 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV118 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[835]) ).

thf(977,plain,
    ! [SV38: $i,SV94: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[837]) ).

thf(978,plain,
    ! [SV38: $i,SV94: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[838]) ).

thf(980,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK44_SV134 @ SV38 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK44_SV134 @ SV38 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[840]) ).

thf(981,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[842]) ).

thf(984,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV103 @ SV38 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK28_SV103 @ SV38 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[846]) ).

thf(987,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( ! [SV147: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV147 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV147 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[848]) ).

thf(988,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[848]) ).

thf(989,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( ! [SV148: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV148 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV148 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[849]) ).

thf(990,plain,
    ! [SV38: $i,SV73: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[849]) ).

thf(993,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV119 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV119 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[851]) ).

thf(994,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV119 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV119 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[852]) ).

thf(996,plain,
    ! [SV38: $i,SV95: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[854]) ).

thf(997,plain,
    ! [SV38: $i,SV95: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[855]) ).

thf(999,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK45_SV135 @ SV38 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK45_SV135 @ SV38 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[857]) ).

thf(1000,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[859]) ).

thf(1003,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV105 @ SV38 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK29_SV105 @ SV38 ) ) )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[863]) ).

thf(1006,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( ! [SV151: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV151 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV151 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[865]) ).

thf(1007,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[865]) ).

thf(1008,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( ! [SV152: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV152 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV152 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[866]) ).

thf(1009,plain,
    ! [SV39: $i,SV76: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[866]) ).

thf(1012,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV120 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV120 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[868]) ).

thf(1013,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV120 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV120 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[869]) ).

thf(1015,plain,
    ! [SV39: $i,SV96: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[871]) ).

thf(1016,plain,
    ! [SV39: $i,SV96: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[872]) ).

thf(1018,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK46_SV136 @ SV39 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK46_SV136 @ SV39 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[874]) ).

thf(1019,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[876]) ).

thf(1022,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV107 @ SV39 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK30_SV107 @ SV39 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[880]) ).

thf(1025,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( ! [SV155: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV155 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV155 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[882]) ).

thf(1026,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[882]) ).

thf(1027,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( ! [SV156: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV156 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV156 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[883]) ).

thf(1028,plain,
    ! [SV39: $i,SV79: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[883]) ).

thf(1031,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV121 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV121 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[885]) ).

thf(1032,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV121 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV121 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[886]) ).

thf(1034,plain,
    ! [SV39: $i,SV97: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[888]) ).

thf(1035,plain,
    ! [SV39: $i,SV97: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[889]) ).

thf(1037,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK47_SV137 @ SV39 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK47_SV137 @ SV39 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[891]) ).

thf(1038,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[893]) ).

thf(1041,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK31_SV109 @ SV39 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK31_SV109 @ SV39 ) ) )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[897]) ).

thf(1044,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( ! [SV159: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV159 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV159 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[899]) ).

thf(1045,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[899]) ).

thf(1046,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( ! [SV160: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV160 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV160 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[900]) ).

thf(1047,plain,
    ! [SV40: $i,SV82: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[900]) ).

thf(1050,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV122 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV122 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[902]) ).

thf(1051,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV122 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV122 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[903]) ).

thf(1053,plain,
    ! [SV40: $i,SV98: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[905]) ).

thf(1054,plain,
    ! [SV40: $i,SV98: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[906]) ).

thf(1056,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK48_SV138 @ SV40 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK48_SV138 @ SV40 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[908]) ).

thf(1057,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[910]) ).

thf(1060,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV111 @ SV40 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK32_SV111 @ SV40 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[914]) ).

thf(1063,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( ! [SV163: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV163 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV163 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[916]) ).

thf(1064,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[916]) ).

thf(1065,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( ! [SV164: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV164 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV164 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[917]) ).

thf(1066,plain,
    ! [SV40: $i,SV85: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[917]) ).

thf(1069,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV123 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV123 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[919]) ).

thf(1070,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV123 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV123 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[920]) ).

thf(1072,plain,
    ! [SV40: $i,SV99: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[922]) ).

thf(1073,plain,
    ! [SV40: $i,SV99: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[923]) ).

thf(1075,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK49_SV139 @ SV40 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK49_SV139 @ SV40 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[925]) ).

thf(1076,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[927]) ).

thf(1079,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV113 @ SV40 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK33_SV113 @ SV40 ) ) )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[931]) ).

thf(1082,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( ! [SV167: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV167 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV167 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[933]) ).

thf(1083,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[933]) ).

thf(1084,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( ! [SV168: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV168 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV168 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[934]) ).

thf(1085,plain,
    ! [SV41: $i,SV88: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[934]) ).

thf(1088,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV124 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV124 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[936]) ).

thf(1089,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV124 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV124 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[937]) ).

thf(1091,plain,
    ! [SV41: $i,SV100: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[939]) ).

thf(1092,plain,
    ! [SV41: $i,SV100: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[940]) ).

thf(1094,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK50_SV140 @ SV41 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK50_SV140 @ SV41 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[942]) ).

thf(1095,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[944]) ).

thf(1098,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV115 @ SV41 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK34_SV115 @ SV41 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[948]) ).

thf(1101,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( ! [SV171: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV171 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV171 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[950]) ).

thf(1102,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[950]) ).

thf(1103,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( ! [SV172: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV172 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV172 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[951]) ).

thf(1104,plain,
    ! [SV41: $i,SV91: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[951]) ).

thf(1107,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV125 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV125 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[953]) ).

thf(1108,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV125 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV125 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[954]) ).

thf(1110,plain,
    ! [SV41: $i,SV101: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[956]) ).

thf(1111,plain,
    ! [SV41: $i,SV101: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[957]) ).

thf(1113,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK51_SV141 @ SV41 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK51_SV141 @ SV41 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[959]) ).

thf(1114,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[961]) ).

thf(1117,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV117 @ SV41 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK35_SV117 @ SV41 ) ) )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[965]) ).

thf(1119,plain,
    ! [SV38: $i,SV70: $i,SV175: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV175 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV175 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[968]) ).

thf(1120,plain,
    ! [SV38: $i,SV70: $i,SV176: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV176 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV176 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[970]) ).

thf(1123,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV118 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[974]) ).

thf(1124,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV118 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[975]) ).

thf(1126,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK44_SV134 @ SV38 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK44_SV134 @ SV38 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK44_SV134 @ SV38 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK44_SV134 @ SV38 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[980]) ).

thf(1128,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV178: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV178 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV178 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[981]) ).

thf(1129,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[981]) ).

thf(1132,plain,
    ! [SV38: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV103 @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV103 @ SV38 ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[984]) ).

thf(1134,plain,
    ! [SV38: $i,SV73: $i,SV180: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV180 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV180 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[987]) ).

thf(1135,plain,
    ! [SV38: $i,SV73: $i,SV181: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV181 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV181 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[989]) ).

thf(1138,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV119 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[993]) ).

thf(1139,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV119 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[994]) ).

thf(1141,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK45_SV135 @ SV38 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK45_SV135 @ SV38 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK45_SV135 @ SV38 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK45_SV135 @ SV38 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[999]) ).

thf(1143,plain,
    ! [SV38: $i] :
      ( ( ( ! [SV183: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV183 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV183 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1000]) ).

thf(1144,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1000]) ).

thf(1147,plain,
    ! [SV38: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV105 @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV105 @ SV38 ) )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1003]) ).

thf(1149,plain,
    ! [SV39: $i,SV76: $i,SV185: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV185 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV185 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1006]) ).

thf(1150,plain,
    ! [SV39: $i,SV76: $i,SV186: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV186 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV186 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1008]) ).

thf(1153,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV120 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1012]) ).

thf(1154,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV120 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1013]) ).

thf(1156,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK46_SV136 @ SV39 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK46_SV136 @ SV39 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK46_SV136 @ SV39 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK46_SV136 @ SV39 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1018]) ).

thf(1158,plain,
    ! [SV39: $i] :
      ( ( ( ! [SV188: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV188 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV188 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1019]) ).

thf(1159,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1019]) ).

thf(1162,plain,
    ! [SV39: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV107 @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV107 @ SV39 ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1022]) ).

thf(1164,plain,
    ! [SV39: $i,SV79: $i,SV190: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV190 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV190 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1025]) ).

thf(1165,plain,
    ! [SV39: $i,SV79: $i,SV191: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV191 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV191 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1027]) ).

thf(1168,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV121 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1031]) ).

thf(1169,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV121 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1032]) ).

thf(1171,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK47_SV137 @ SV39 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK47_SV137 @ SV39 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK47_SV137 @ SV39 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK47_SV137 @ SV39 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1037]) ).

thf(1173,plain,
    ! [SV39: $i] :
      ( ( ( ! [SV193: $i] :
              ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV193 )
              = ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV193 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1038]) ).

thf(1174,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1038]) ).

thf(1177,plain,
    ! [SV39: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK31_SV109 @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK31_SV109 @ SV39 ) )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1041]) ).

thf(1179,plain,
    ! [SV40: $i,SV82: $i,SV195: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV195 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV195 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1044]) ).

thf(1180,plain,
    ! [SV40: $i,SV82: $i,SV196: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV196 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV196 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1046]) ).

thf(1183,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV122 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1050]) ).

thf(1184,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV122 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1051]) ).

thf(1186,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK48_SV138 @ SV40 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK48_SV138 @ SV40 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK48_SV138 @ SV40 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK48_SV138 @ SV40 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1056]) ).

thf(1188,plain,
    ! [SV40: $i] :
      ( ( ( ! [SV198: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV198 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV198 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1057]) ).

thf(1189,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1057]) ).

thf(1192,plain,
    ! [SV40: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV111 @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV111 @ SV40 ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1060]) ).

thf(1194,plain,
    ! [SV40: $i,SV85: $i,SV200: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV200 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV200 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1063]) ).

thf(1195,plain,
    ! [SV40: $i,SV85: $i,SV201: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV201 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV201 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1065]) ).

thf(1198,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV123 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1069]) ).

thf(1199,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV123 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1070]) ).

thf(1201,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK49_SV139 @ SV40 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK49_SV139 @ SV40 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK49_SV139 @ SV40 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK49_SV139 @ SV40 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1075]) ).

thf(1203,plain,
    ! [SV40: $i] :
      ( ( ( ! [SV203: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV203 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV203 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1076]) ).

thf(1204,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1076]) ).

thf(1207,plain,
    ! [SV40: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV113 @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV113 @ SV40 ) )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1079]) ).

thf(1209,plain,
    ! [SV41: $i,SV88: $i,SV205: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV205 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV205 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1082]) ).

thf(1210,plain,
    ! [SV41: $i,SV88: $i,SV206: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV206 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV206 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1084]) ).

thf(1213,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV124 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1088]) ).

thf(1214,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV124 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1089]) ).

thf(1216,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK50_SV140 @ SV41 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK50_SV140 @ SV41 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK50_SV140 @ SV41 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK50_SV140 @ SV41 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1094]) ).

thf(1218,plain,
    ! [SV41: $i] :
      ( ( ( ! [SV208: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV208 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV208 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1095]) ).

thf(1219,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1095]) ).

thf(1222,plain,
    ! [SV41: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV115 @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV115 @ SV41 ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1098]) ).

thf(1224,plain,
    ! [SV41: $i,SV91: $i,SV210: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV210 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV210 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1101]) ).

thf(1225,plain,
    ! [SV41: $i,SV91: $i,SV211: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV211 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV211 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1103]) ).

thf(1228,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV125 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1107]) ).

thf(1229,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV125 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1108]) ).

thf(1231,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK51_SV141 @ SV41 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK51_SV141 @ SV41 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK51_SV141 @ SV41 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK51_SV141 @ SV41 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1113]) ).

thf(1233,plain,
    ! [SV41: $i] :
      ( ( ( ! [SV213: $i] :
              ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV213 )
              = ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV213 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1114]) ).

thf(1234,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1114]) ).

thf(1237,plain,
    ! [SV41: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV117 @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV117 @ SV41 ) )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1117]) ).

thf(1240,plain,
    ! [SV38: $i,SV70: $i,SV175: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV175 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV175 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV175 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV175 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1119]) ).

thf(1241,plain,
    ! [SV38: $i,SV70: $i,SV175: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV175 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV175 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1119]) ).

thf(1242,plain,
    ! [SV38: $i,SV70: $i,SV176: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV176 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV176 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV176 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV176 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1120]) ).

thf(1243,plain,
    ! [SV38: $i,SV70: $i,SV176: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV176 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV176 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1120]) ).

thf(1247,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1123]) ).

thf(1248,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1124]) ).

thf(1250,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK44_SV134 @ SV38 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK44_SV134 @ SV38 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1126]) ).

thf(1251,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK44_SV134 @ SV38 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK44_SV134 @ SV38 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1126]) ).

thf(1252,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK52_SV178 @ SV38 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK52_SV178 @ SV38 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1128]) ).

thf(1256,plain,
    ! [SV38: $i,SV73: $i,SV180: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV180 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV180 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV180 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV180 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1134]) ).

thf(1257,plain,
    ! [SV38: $i,SV73: $i,SV180: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV180 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV180 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1134]) ).

thf(1258,plain,
    ! [SV38: $i,SV73: $i,SV181: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV181 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV181 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV181 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV181 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1135]) ).

thf(1259,plain,
    ! [SV38: $i,SV73: $i,SV181: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV181 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV181 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1135]) ).

thf(1263,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1138]) ).

thf(1264,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1139]) ).

thf(1266,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK45_SV135 @ SV38 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK45_SV135 @ SV38 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1141]) ).

thf(1267,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK45_SV135 @ SV38 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK45_SV135 @ SV38 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1141]) ).

thf(1268,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK53_SV183 @ SV38 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK53_SV183 @ SV38 ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1143]) ).

thf(1272,plain,
    ! [SV39: $i,SV76: $i,SV185: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV185 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV185 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV185 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV185 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1149]) ).

thf(1273,plain,
    ! [SV39: $i,SV76: $i,SV185: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV185 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV185 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1149]) ).

thf(1274,plain,
    ! [SV39: $i,SV76: $i,SV186: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV186 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV186 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV186 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV186 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1150]) ).

thf(1275,plain,
    ! [SV39: $i,SV76: $i,SV186: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV186 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV186 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1150]) ).

thf(1279,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1153]) ).

thf(1280,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1154]) ).

thf(1282,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK46_SV136 @ SV39 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK46_SV136 @ SV39 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1156]) ).

thf(1283,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK46_SV136 @ SV39 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK46_SV136 @ SV39 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1156]) ).

thf(1284,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK54_SV188 @ SV39 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK54_SV188 @ SV39 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1158]) ).

thf(1288,plain,
    ! [SV39: $i,SV79: $i,SV190: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV190 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV190 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV190 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV190 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1164]) ).

thf(1289,plain,
    ! [SV39: $i,SV79: $i,SV190: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV190 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV190 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1164]) ).

thf(1290,plain,
    ! [SV39: $i,SV79: $i,SV191: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV191 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV191 ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV191 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV191 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1165]) ).

thf(1291,plain,
    ! [SV39: $i,SV79: $i,SV191: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV191 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV191 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1165]) ).

thf(1295,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1168]) ).

thf(1296,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1169]) ).

thf(1298,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK47_SV137 @ SV39 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK47_SV137 @ SV39 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1171]) ).

thf(1299,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK47_SV137 @ SV39 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK47_SV137 @ SV39 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1171]) ).

thf(1300,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK55_SV193 @ SV39 ) )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK55_SV193 @ SV39 ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1173]) ).

thf(1304,plain,
    ! [SV40: $i,SV82: $i,SV195: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV195 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV195 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1179]) ).

thf(1305,plain,
    ! [SV40: $i,SV82: $i,SV195: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV195 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV195 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1179]) ).

thf(1306,plain,
    ! [SV40: $i,SV82: $i,SV196: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV196 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV196 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV196 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV196 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1180]) ).

thf(1307,plain,
    ! [SV40: $i,SV82: $i,SV196: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV196 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV196 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1180]) ).

thf(1311,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1183]) ).

thf(1312,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1184]) ).

thf(1314,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK48_SV138 @ SV40 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK48_SV138 @ SV40 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1186]) ).

thf(1315,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK48_SV138 @ SV40 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK48_SV138 @ SV40 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1186]) ).

thf(1316,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK56_SV198 @ SV40 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK56_SV198 @ SV40 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1188]) ).

thf(1320,plain,
    ! [SV40: $i,SV85: $i,SV200: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV200 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV200 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV200 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV200 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1194]) ).

thf(1321,plain,
    ! [SV40: $i,SV85: $i,SV200: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV200 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV200 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1194]) ).

thf(1322,plain,
    ! [SV40: $i,SV85: $i,SV201: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV201 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV201 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1195]) ).

thf(1323,plain,
    ! [SV40: $i,SV85: $i,SV201: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV201 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV201 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1195]) ).

thf(1327,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1198]) ).

thf(1328,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1199]) ).

thf(1330,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK49_SV139 @ SV40 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK49_SV139 @ SV40 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1201]) ).

thf(1331,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK49_SV139 @ SV40 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK49_SV139 @ SV40 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1201]) ).

thf(1332,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK57_SV203 @ SV40 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK57_SV203 @ SV40 ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1203]) ).

thf(1336,plain,
    ! [SV41: $i,SV88: $i,SV205: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV205 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV205 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV205 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV205 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1209]) ).

thf(1337,plain,
    ! [SV41: $i,SV88: $i,SV205: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV205 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV205 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1209]) ).

thf(1338,plain,
    ! [SV41: $i,SV88: $i,SV206: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV206 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV206 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1210]) ).

thf(1339,plain,
    ! [SV41: $i,SV88: $i,SV206: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV206 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV206 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1210]) ).

thf(1343,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1213]) ).

thf(1344,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1214]) ).

thf(1346,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK50_SV140 @ SV41 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK50_SV140 @ SV41 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1216]) ).

thf(1347,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK50_SV140 @ SV41 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK50_SV140 @ SV41 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1216]) ).

thf(1348,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK58_SV208 @ SV41 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK58_SV208 @ SV41 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1218]) ).

thf(1352,plain,
    ! [SV41: $i,SV91: $i,SV210: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV210 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV210 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV210 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV210 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1224]) ).

thf(1353,plain,
    ! [SV41: $i,SV91: $i,SV210: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV210 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV210 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1224]) ).

thf(1354,plain,
    ! [SV41: $i,SV91: $i,SV211: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV211 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV211 ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1225]) ).

thf(1355,plain,
    ! [SV41: $i,SV91: $i,SV211: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV211 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV211 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1225]) ).

thf(1359,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1228]) ).

thf(1360,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1229]) ).

thf(1362,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK51_SV141 @ SV41 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK51_SV141 @ SV41 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1231]) ).

thf(1363,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK51_SV141 @ SV41 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK51_SV141 @ SV41 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1231]) ).

thf(1364,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK59_SV213 @ SV41 ) )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK59_SV213 @ SV41 ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[1233]) ).

thf(1367,plain,
    ! [SV38: $i,SV70: $i,SV175: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV175 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV175 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV175 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV175 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1240]) ).

thf(1368,plain,
    ! [SV38: $i,SV70: $i,SV176: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV176 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV176 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV176 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV176 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1242]) ).

thf(1370,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK44_SV134 @ SV38 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK44_SV134 @ SV38 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1250]) ).

thf(1371,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK44_SV134 @ SV38 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK44_SV134 @ SV38 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1251]) ).

thf(1372,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK52_SV178 @ SV38 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK52_SV178 @ SV38 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK52_SV178 @ SV38 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK52_SV178 @ SV38 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1252]) ).

thf(1376,plain,
    ! [SV38: $i,SV73: $i,SV180: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV180 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV180 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV180 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV180 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1256]) ).

thf(1377,plain,
    ! [SV38: $i,SV73: $i,SV181: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV181 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV181 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV181 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV181 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1258]) ).

thf(1379,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK45_SV135 @ SV38 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK45_SV135 @ SV38 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1266]) ).

thf(1380,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK45_SV135 @ SV38 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK45_SV135 @ SV38 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1267]) ).

thf(1381,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK53_SV183 @ SV38 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK53_SV183 @ SV38 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK53_SV183 @ SV38 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK53_SV183 @ SV38 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1268]) ).

thf(1385,plain,
    ! [SV39: $i,SV76: $i,SV185: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV185 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV185 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV185 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV185 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1272]) ).

thf(1386,plain,
    ! [SV39: $i,SV76: $i,SV186: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV186 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV186 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV186 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV186 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1274]) ).

thf(1388,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK46_SV136 @ SV39 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK46_SV136 @ SV39 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1282]) ).

thf(1389,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK46_SV136 @ SV39 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK46_SV136 @ SV39 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1283]) ).

thf(1390,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK54_SV188 @ SV39 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK54_SV188 @ SV39 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK54_SV188 @ SV39 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK54_SV188 @ SV39 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1284]) ).

thf(1394,plain,
    ! [SV39: $i,SV79: $i,SV190: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV190 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV190 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV190 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV190 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1288]) ).

thf(1395,plain,
    ! [SV39: $i,SV79: $i,SV191: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV191 )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV191 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV191 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV191 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1290]) ).

thf(1397,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK47_SV137 @ SV39 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK47_SV137 @ SV39 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1298]) ).

thf(1398,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK47_SV137 @ SV39 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK47_SV137 @ SV39 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1299]) ).

thf(1399,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK55_SV193 @ SV39 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK55_SV193 @ SV39 ) ) )
          | ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK55_SV193 @ SV39 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK55_SV193 @ SV39 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1300]) ).

thf(1403,plain,
    ! [SV40: $i,SV82: $i,SV195: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV195 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV195 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1304]) ).

thf(1404,plain,
    ! [SV40: $i,SV82: $i,SV196: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV196 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV196 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV196 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV196 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1306]) ).

thf(1406,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK48_SV138 @ SV40 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK48_SV138 @ SV40 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1314]) ).

thf(1407,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK48_SV138 @ SV40 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK48_SV138 @ SV40 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1315]) ).

thf(1408,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK56_SV198 @ SV40 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK56_SV198 @ SV40 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK56_SV198 @ SV40 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK56_SV198 @ SV40 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1316]) ).

thf(1412,plain,
    ! [SV40: $i,SV85: $i,SV200: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV200 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV200 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV200 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV200 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1320]) ).

thf(1413,plain,
    ! [SV40: $i,SV85: $i,SV201: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV201 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV201 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1322]) ).

thf(1415,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK49_SV139 @ SV40 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK49_SV139 @ SV40 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1330]) ).

thf(1416,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK49_SV139 @ SV40 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK49_SV139 @ SV40 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1331]) ).

thf(1417,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK57_SV203 @ SV40 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK57_SV203 @ SV40 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK57_SV203 @ SV40 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK57_SV203 @ SV40 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1332]) ).

thf(1421,plain,
    ! [SV41: $i,SV88: $i,SV205: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV205 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV205 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV205 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV205 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1336]) ).

thf(1422,plain,
    ! [SV41: $i,SV88: $i,SV206: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV206 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV206 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1338]) ).

thf(1424,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK50_SV140 @ SV41 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK50_SV140 @ SV41 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1346]) ).

thf(1425,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK50_SV140 @ SV41 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK50_SV140 @ SV41 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1347]) ).

thf(1426,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK58_SV208 @ SV41 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK58_SV208 @ SV41 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK58_SV208 @ SV41 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK58_SV208 @ SV41 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[1348]) ).

thf(1430,plain,
    ! [SV41: $i,SV91: $i,SV210: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV210 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV210 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV210 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV210 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1352]) ).

thf(1431,plain,
    ! [SV41: $i,SV91: $i,SV211: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV211 )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ SV211 ) ) )
        = $true )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1354]) ).

thf(1433,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK51_SV141 @ SV41 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK51_SV141 @ SV41 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1362]) ).

thf(1434,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK51_SV141 @ SV41 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK51_SV141 @ SV41 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1363]) ).

thf(1435,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK59_SV213 @ SV41 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK59_SV213 @ SV41 ) ) )
          | ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK59_SV213 @ SV41 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK59_SV213 @ SV41 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_neg,[status(thm)],[1364]) ).

thf(1439,plain,
    ! [SV38: $i,SV70: $i,SV175: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV175 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV175 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV175 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV175 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1367]) ).

thf(1440,plain,
    ! [SV38: $i,SV70: $i,SV176: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV176 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV176 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV176 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV176 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1368]) ).

thf(1442,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK44_SV134 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK44_SV134 @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1370]) ).

thf(1443,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK44_SV134 @ SV38 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK44_SV134 @ SV38 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1371]) ).

thf(1444,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK52_SV178 @ SV38 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK52_SV178 @ SV38 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1372]) ).

thf(1445,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK52_SV178 @ SV38 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK52_SV178 @ SV38 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1372]) ).

thf(1447,plain,
    ! [SV38: $i,SV73: $i,SV180: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV180 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV180 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV180 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV180 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1376]) ).

thf(1448,plain,
    ! [SV38: $i,SV73: $i,SV181: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV181 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV181 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV181 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV181 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1377]) ).

thf(1450,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK45_SV135 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK45_SV135 @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1379]) ).

thf(1451,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK45_SV135 @ SV38 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK45_SV135 @ SV38 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1380]) ).

thf(1452,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK53_SV183 @ SV38 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK53_SV183 @ SV38 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1381]) ).

thf(1453,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK53_SV183 @ SV38 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK53_SV183 @ SV38 ) ) ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1381]) ).

thf(1455,plain,
    ! [SV39: $i,SV76: $i,SV185: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV185 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV185 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV185 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV185 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1385]) ).

thf(1456,plain,
    ! [SV39: $i,SV76: $i,SV186: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV186 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV186 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV186 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV186 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1386]) ).

thf(1458,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK46_SV136 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK46_SV136 @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1388]) ).

thf(1459,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK46_SV136 @ SV39 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK46_SV136 @ SV39 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1389]) ).

thf(1460,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK54_SV188 @ SV39 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK54_SV188 @ SV39 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1390]) ).

thf(1461,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK54_SV188 @ SV39 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK54_SV188 @ SV39 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1390]) ).

thf(1463,plain,
    ! [SV39: $i,SV79: $i,SV190: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV190 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV190 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV190 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV190 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1394]) ).

thf(1464,plain,
    ! [SV39: $i,SV79: $i,SV191: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV191 )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV191 ) )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV191 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV191 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1395]) ).

thf(1466,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK47_SV137 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK47_SV137 @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1397]) ).

thf(1467,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK47_SV137 @ SV39 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK47_SV137 @ SV39 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1398]) ).

thf(1468,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ( sK2_SY9
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK55_SV193 @ SV39 ) )
              | ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK55_SV193 @ SV39 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1399]) ).

thf(1469,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK55_SV193 @ SV39 ) )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK55_SV193 @ SV39 ) ) ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1399]) ).

thf(1471,plain,
    ! [SV40: $i,SV82: $i,SV195: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV195 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV195 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1403]) ).

thf(1472,plain,
    ! [SV40: $i,SV82: $i,SV196: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV196 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV196 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV196 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV196 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1404]) ).

thf(1474,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK48_SV138 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK48_SV138 @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1406]) ).

thf(1475,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK48_SV138 @ SV40 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK48_SV138 @ SV40 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1407]) ).

thf(1476,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK56_SV198 @ SV40 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK56_SV198 @ SV40 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1408]) ).

thf(1477,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK56_SV198 @ SV40 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK56_SV198 @ SV40 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1408]) ).

thf(1479,plain,
    ! [SV40: $i,SV85: $i,SV200: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV200 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV200 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV200 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV200 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1412]) ).

thf(1480,plain,
    ! [SV40: $i,SV85: $i,SV201: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV201 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV201 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1413]) ).

thf(1482,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK49_SV139 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK49_SV139 @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1415]) ).

thf(1483,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK49_SV139 @ SV40 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK49_SV139 @ SV40 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1416]) ).

thf(1484,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK57_SV203 @ SV40 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK57_SV203 @ SV40 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1417]) ).

thf(1485,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK57_SV203 @ SV40 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK57_SV203 @ SV40 ) ) ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1417]) ).

thf(1487,plain,
    ! [SV41: $i,SV88: $i,SV205: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV205 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV205 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV205 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV205 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1421]) ).

thf(1488,plain,
    ! [SV41: $i,SV88: $i,SV206: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV206 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV206 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1422]) ).

thf(1490,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK50_SV140 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK50_SV140 @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1424]) ).

thf(1491,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK50_SV140 @ SV41 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK50_SV140 @ SV41 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1425]) ).

thf(1492,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK58_SV208 @ SV41 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK58_SV208 @ SV41 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1426]) ).

thf(1493,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK58_SV208 @ SV41 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK58_SV208 @ SV41 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1426]) ).

thf(1495,plain,
    ! [SV41: $i,SV91: $i,SV210: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV210 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV210 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV210 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV210 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1430]) ).

thf(1496,plain,
    ! [SV41: $i,SV91: $i,SV211: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV211 )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV211 ) )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1431]) ).

thf(1498,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_SV141 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_SV141 @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1433]) ).

thf(1499,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK51_SV141 @ SV41 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK51_SV141 @ SV41 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1434]) ).

thf(1500,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ( sK3_SY15
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK59_SV213 @ SV41 ) )
              | ( sK4_SY17
                @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                @ ( sK59_SV213 @ SV41 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1435]) ).

thf(1501,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK59_SV213 @ SV41 ) )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ ( sK59_SV213 @ SV41 ) ) ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1435]) ).

thf(1504,plain,
    ! [SV38: $i,SV70: $i,SV175: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV175 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV175 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV175 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1439]) ).

thf(1505,plain,
    ! [SV38: $i,SV70: $i,SV175: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV175 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV175 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV175 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1439]) ).

thf(1506,plain,
    ! [SV38: $i,SV70: $i,SV176: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV176 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV176 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV176 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1440]) ).

thf(1507,plain,
    ! [SV38: $i,SV70: $i,SV176: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV176 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV176 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV176 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1440]) ).

thf(1510,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK44_SV134 @ SV38 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK44_SV134 @ SV38 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1443]) ).

thf(1511,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK52_SV178 @ SV38 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK52_SV178 @ SV38 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1444]) ).

thf(1512,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK52_SV178 @ SV38 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK52_SV178 @ SV38 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1445]) ).

thf(1515,plain,
    ! [SV38: $i,SV73: $i,SV180: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV180 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV180 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV180 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1447]) ).

thf(1516,plain,
    ! [SV38: $i,SV73: $i,SV180: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV180 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV180 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV180 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1447]) ).

thf(1517,plain,
    ! [SV38: $i,SV73: $i,SV181: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV181 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV181 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV181 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1448]) ).

thf(1518,plain,
    ! [SV38: $i,SV73: $i,SV181: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV181 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV181 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV181 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1448]) ).

thf(1521,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK45_SV135 @ SV38 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK45_SV135 @ SV38 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1451]) ).

thf(1522,plain,
    ! [SV38: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK53_SV183 @ SV38 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK53_SV183 @ SV38 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1452]) ).

thf(1523,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK53_SV183 @ SV38 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK53_SV183 @ SV38 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1453]) ).

thf(1526,plain,
    ! [SV39: $i,SV76: $i,SV185: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV185 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV185 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV185 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1455]) ).

thf(1527,plain,
    ! [SV39: $i,SV76: $i,SV185: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV185 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV185 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV185 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1455]) ).

thf(1528,plain,
    ! [SV39: $i,SV76: $i,SV186: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV186 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV186 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV186 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1456]) ).

thf(1529,plain,
    ! [SV39: $i,SV76: $i,SV186: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV186 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV186 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV186 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1456]) ).

thf(1532,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK46_SV136 @ SV39 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK46_SV136 @ SV39 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1459]) ).

thf(1533,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK54_SV188 @ SV39 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK54_SV188 @ SV39 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1460]) ).

thf(1534,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK54_SV188 @ SV39 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK54_SV188 @ SV39 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1461]) ).

thf(1537,plain,
    ! [SV39: $i,SV79: $i,SV190: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV190 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV190 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV190 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1463]) ).

thf(1538,plain,
    ! [SV39: $i,SV79: $i,SV190: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV190 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV190 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV190 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1463]) ).

thf(1539,plain,
    ! [SV39: $i,SV79: $i,SV191: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV191 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV191 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV191 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1464]) ).

thf(1540,plain,
    ! [SV39: $i,SV79: $i,SV191: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV191 )
        = $false )
      | ( ( ~ ( ~ ( sK2_SY9
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV191 )
              | ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV191 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1464]) ).

thf(1543,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK47_SV137 @ SV39 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK47_SV137 @ SV39 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1467]) ).

thf(1544,plain,
    ! [SV39: $i] :
      ( ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK55_SV193 @ SV39 ) )
          | ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK55_SV193 @ SV39 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1468]) ).

thf(1545,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK55_SV193 @ SV39 ) )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK55_SV193 @ SV39 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1469]) ).

thf(1548,plain,
    ! [SV40: $i,SV82: $i,SV195: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1471]) ).

thf(1549,plain,
    ! [SV40: $i,SV82: $i,SV195: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV195 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1471]) ).

thf(1550,plain,
    ! [SV40: $i,SV82: $i,SV196: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV196 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV196 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV196 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1472]) ).

thf(1551,plain,
    ! [SV40: $i,SV82: $i,SV196: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV196 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV196 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV196 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1472]) ).

thf(1554,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK48_SV138 @ SV40 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK48_SV138 @ SV40 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1475]) ).

thf(1555,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK56_SV198 @ SV40 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK56_SV198 @ SV40 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1476]) ).

thf(1556,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK56_SV198 @ SV40 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK56_SV198 @ SV40 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1477]) ).

thf(1559,plain,
    ! [SV40: $i,SV85: $i,SV200: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV200 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV200 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV200 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1479]) ).

thf(1560,plain,
    ! [SV40: $i,SV85: $i,SV200: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV200 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV200 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV200 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1479]) ).

thf(1561,plain,
    ! [SV40: $i,SV85: $i,SV201: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1480]) ).

thf(1562,plain,
    ! [SV40: $i,SV85: $i,SV201: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV201 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1480]) ).

thf(1565,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK49_SV139 @ SV40 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK49_SV139 @ SV40 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1483]) ).

thf(1566,plain,
    ! [SV40: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK57_SV203 @ SV40 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK57_SV203 @ SV40 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1484]) ).

thf(1567,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK57_SV203 @ SV40 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK57_SV203 @ SV40 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1485]) ).

thf(1570,plain,
    ! [SV41: $i,SV88: $i,SV205: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV205 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV205 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV205 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1487]) ).

thf(1571,plain,
    ! [SV41: $i,SV88: $i,SV205: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV205 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV205 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV205 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1487]) ).

thf(1572,plain,
    ! [SV41: $i,SV88: $i,SV206: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1488]) ).

thf(1573,plain,
    ! [SV41: $i,SV88: $i,SV206: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV206 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1488]) ).

thf(1576,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK50_SV140 @ SV41 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK50_SV140 @ SV41 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1491]) ).

thf(1577,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK58_SV208 @ SV41 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK58_SV208 @ SV41 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1492]) ).

thf(1578,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK58_SV208 @ SV41 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK58_SV208 @ SV41 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1493]) ).

thf(1581,plain,
    ! [SV41: $i,SV91: $i,SV210: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV210 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV210 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV210 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1495]) ).

thf(1582,plain,
    ! [SV41: $i,SV91: $i,SV210: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV210 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV210 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV210 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1495]) ).

thf(1583,plain,
    ! [SV41: $i,SV91: $i,SV211: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1496]) ).

thf(1584,plain,
    ! [SV41: $i,SV91: $i,SV211: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false )
      | ( ( ~ ( ~ ( sK3_SY15
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 )
              | ~ ( sK4_SY17
                  @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
                  @ SV211 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1496]) ).

thf(1587,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_SV141 @ SV41 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK51_SV141 @ SV41 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1499]) ).

thf(1588,plain,
    ! [SV41: $i] :
      ( ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK59_SV213 @ SV41 ) )
          | ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ ( sK59_SV213 @ SV41 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1500]) ).

thf(1589,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK59_SV213 @ SV41 ) )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK59_SV213 @ SV41 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1501]) ).

thf(1592,plain,
    ! [SV38: $i,SV70: $i,SV175: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV175 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV175 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV175 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1504]) ).

thf(1593,plain,
    ! [SV38: $i,SV70: $i,SV175: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV175 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV175 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV175 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1505]) ).

thf(1594,plain,
    ! [SV38: $i,SV70: $i,SV176: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV176 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV176 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV176 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1506]) ).

thf(1595,plain,
    ! [SV38: $i,SV70: $i,SV176: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV176 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV176 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV176 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1507]) ).

thf(1598,plain,
    ! [SV38: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK44_SV134 @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK44_SV134 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1510]) ).

thf(1599,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_SV178 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_SV178 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1511]) ).

thf(1600,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK52_SV178 @ SV38 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK52_SV178 @ SV38 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1512]) ).

thf(1603,plain,
    ! [SV38: $i,SV73: $i,SV180: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV180 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV180 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV180 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1515]) ).

thf(1604,plain,
    ! [SV38: $i,SV73: $i,SV180: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV180 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV180 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV180 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1516]) ).

thf(1605,plain,
    ! [SV38: $i,SV73: $i,SV181: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV181 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV181 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV181 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1517]) ).

thf(1606,plain,
    ! [SV38: $i,SV73: $i,SV181: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV181 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV181 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV181 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1518]) ).

thf(1609,plain,
    ! [SV38: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK45_SV135 @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK45_SV135 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1521]) ).

thf(1610,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_SV183 @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_SV183 @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1522]) ).

thf(1611,plain,
    ! [SV38: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK53_SV183 @ SV38 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK53_SV183 @ SV38 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1523]) ).

thf(1614,plain,
    ! [SV39: $i,SV76: $i,SV185: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV185 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV185 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV185 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1526]) ).

thf(1615,plain,
    ! [SV39: $i,SV76: $i,SV185: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV185 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV185 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV185 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1527]) ).

thf(1616,plain,
    ! [SV39: $i,SV76: $i,SV186: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV186 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV186 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV186 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1528]) ).

thf(1617,plain,
    ! [SV39: $i,SV76: $i,SV186: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV186 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV186 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV186 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1529]) ).

thf(1620,plain,
    ! [SV39: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK46_SV136 @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK46_SV136 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1532]) ).

thf(1621,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK54_SV188 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK54_SV188 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1533]) ).

thf(1622,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK54_SV188 @ SV39 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK54_SV188 @ SV39 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1534]) ).

thf(1625,plain,
    ! [SV39: $i,SV79: $i,SV190: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV190 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV190 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV190 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1537]) ).

thf(1626,plain,
    ! [SV39: $i,SV79: $i,SV190: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV190 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV190 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV190 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1538]) ).

thf(1627,plain,
    ! [SV39: $i,SV79: $i,SV191: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV191 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV191 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV191 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1539]) ).

thf(1628,plain,
    ! [SV39: $i,SV79: $i,SV191: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV191 )
          | ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV191 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV191 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1540]) ).

thf(1631,plain,
    ! [SV39: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK47_SV137 @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK47_SV137 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1543]) ).

thf(1632,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_SV193 @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_SV193 @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1544]) ).

thf(1633,plain,
    ! [SV39: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK55_SV193 @ SV39 ) ) )
        = $true )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK55_SV193 @ SV39 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1545]) ).

thf(1636,plain,
    ! [SV40: $i,SV82: $i,SV195: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV195 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV195 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1548]) ).

thf(1637,plain,
    ! [SV40: $i,SV82: $i,SV195: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV195 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV195 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1549]) ).

thf(1638,plain,
    ! [SV40: $i,SV82: $i,SV196: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV196 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV196 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV196 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1550]) ).

thf(1639,plain,
    ! [SV40: $i,SV82: $i,SV196: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV196 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV196 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV196 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1551]) ).

thf(1642,plain,
    ! [SV40: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK48_SV138 @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK48_SV138 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1554]) ).

thf(1643,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK56_SV198 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK56_SV198 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1555]) ).

thf(1644,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK56_SV198 @ SV40 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK56_SV198 @ SV40 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1556]) ).

thf(1647,plain,
    ! [SV40: $i,SV85: $i,SV200: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV200 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV200 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV200 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1559]) ).

thf(1648,plain,
    ! [SV40: $i,SV85: $i,SV200: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV200 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV200 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV200 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1560]) ).

thf(1649,plain,
    ! [SV40: $i,SV85: $i,SV201: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV201 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV201 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1561]) ).

thf(1650,plain,
    ! [SV40: $i,SV85: $i,SV201: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV201 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV201 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1562]) ).

thf(1653,plain,
    ! [SV40: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK49_SV139 @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK49_SV139 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1565]) ).

thf(1654,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK57_SV203 @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK57_SV203 @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1566]) ).

thf(1655,plain,
    ! [SV40: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK57_SV203 @ SV40 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK57_SV203 @ SV40 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1567]) ).

thf(1658,plain,
    ! [SV41: $i,SV88: $i,SV205: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV205 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV205 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV205 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1570]) ).

thf(1659,plain,
    ! [SV41: $i,SV88: $i,SV205: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV205 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV205 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV205 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1571]) ).

thf(1660,plain,
    ! [SV41: $i,SV88: $i,SV206: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV206 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV206 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1572]) ).

thf(1661,plain,
    ! [SV41: $i,SV88: $i,SV206: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV206 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV206 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1573]) ).

thf(1664,plain,
    ! [SV41: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK50_SV140 @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK50_SV140 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1576]) ).

thf(1665,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK58_SV208 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK58_SV208 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1577]) ).

thf(1666,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK58_SV208 @ SV41 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK58_SV208 @ SV41 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1578]) ).

thf(1669,plain,
    ! [SV41: $i,SV91: $i,SV210: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV210 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV210 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV210 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1581]) ).

thf(1670,plain,
    ! [SV41: $i,SV91: $i,SV210: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV210 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV210 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV210 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1582]) ).

thf(1671,plain,
    ! [SV41: $i,SV91: $i,SV211: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV211 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV211 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1583]) ).

thf(1672,plain,
    ! [SV41: $i,SV91: $i,SV211: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV211 )
          | ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV211 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1584]) ).

thf(1675,plain,
    ! [SV41: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_SV141 @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK51_SV141 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1587]) ).

thf(1676,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK59_SV213 @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK59_SV213 @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1588]) ).

thf(1677,plain,
    ! [SV41: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK59_SV213 @ SV41 ) ) )
        = $true )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK59_SV213 @ SV41 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1589]) ).

thf(1683,plain,
    ! [SV38: $i,SV70: $i,SV175: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV175 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV175 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1592]) ).

thf(1684,plain,
    ! [SV38: $i,SV70: $i,SV175: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV175 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV175 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1593]) ).

thf(1687,plain,
    ! [SV38: $i,SV70: $i,SV176: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV176 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV176 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1594]) ).

thf(1688,plain,
    ! [SV38: $i,SV70: $i,SV176: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV176 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV176 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1595]) ).

thf(1694,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_SV178 @ SV38 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK52_SV178 @ SV38 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1600]) ).

thf(1700,plain,
    ! [SV38: $i,SV73: $i,SV180: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV180 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV180 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1603]) ).

thf(1701,plain,
    ! [SV38: $i,SV73: $i,SV180: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV180 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV180 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1604]) ).

thf(1704,plain,
    ! [SV38: $i,SV73: $i,SV181: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV181 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV181 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1605]) ).

thf(1705,plain,
    ! [SV38: $i,SV73: $i,SV181: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV181 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV181 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1606]) ).

thf(1711,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_SV183 @ SV38 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK53_SV183 @ SV38 ) ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1611]) ).

thf(1717,plain,
    ! [SV39: $i,SV76: $i,SV185: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV185 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV185 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1614]) ).

thf(1718,plain,
    ! [SV39: $i,SV76: $i,SV185: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV185 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV185 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1615]) ).

thf(1721,plain,
    ! [SV39: $i,SV76: $i,SV186: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV186 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV186 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1616]) ).

thf(1722,plain,
    ! [SV39: $i,SV76: $i,SV186: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV186 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV186 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1617]) ).

thf(1728,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK54_SV188 @ SV39 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK54_SV188 @ SV39 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1622]) ).

thf(1734,plain,
    ! [SV39: $i,SV79: $i,SV190: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV190 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV190 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1625]) ).

thf(1735,plain,
    ! [SV39: $i,SV79: $i,SV190: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV190 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV190 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1626]) ).

thf(1738,plain,
    ! [SV39: $i,SV79: $i,SV191: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV191 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV191 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1627]) ).

thf(1739,plain,
    ! [SV39: $i,SV79: $i,SV191: $i] :
      ( ( ( ~ ( sK2_SY9
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV191 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV191 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1628]) ).

thf(1745,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_SV193 @ SV39 ) )
        = $false )
      | ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK55_SV193 @ SV39 ) ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1633]) ).

thf(1751,plain,
    ! [SV40: $i,SV82: $i,SV195: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV195 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1636]) ).

thf(1752,plain,
    ! [SV40: $i,SV82: $i,SV195: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV195 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1637]) ).

thf(1755,plain,
    ! [SV40: $i,SV82: $i,SV196: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV196 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV196 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1638]) ).

thf(1756,plain,
    ! [SV40: $i,SV82: $i,SV196: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV196 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV196 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1639]) ).

thf(1762,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK56_SV198 @ SV40 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK56_SV198 @ SV40 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1644]) ).

thf(1768,plain,
    ! [SV40: $i,SV85: $i,SV200: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV200 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV200 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1647]) ).

thf(1769,plain,
    ! [SV40: $i,SV85: $i,SV200: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV200 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV200 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1648]) ).

thf(1772,plain,
    ! [SV40: $i,SV85: $i,SV201: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV201 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1649]) ).

thf(1773,plain,
    ! [SV40: $i,SV85: $i,SV201: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV201 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1650]) ).

thf(1779,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK57_SV203 @ SV40 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK57_SV203 @ SV40 ) ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1655]) ).

thf(1785,plain,
    ! [SV41: $i,SV88: $i,SV205: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV205 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV205 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1658]) ).

thf(1786,plain,
    ! [SV41: $i,SV88: $i,SV205: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV205 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV205 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1659]) ).

thf(1789,plain,
    ! [SV41: $i,SV88: $i,SV206: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV206 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1660]) ).

thf(1790,plain,
    ! [SV41: $i,SV88: $i,SV206: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV206 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1661]) ).

thf(1796,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK58_SV208 @ SV41 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK58_SV208 @ SV41 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1666]) ).

thf(1802,plain,
    ! [SV41: $i,SV91: $i,SV210: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV210 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV210 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1669]) ).

thf(1803,plain,
    ! [SV41: $i,SV91: $i,SV210: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV210 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV210 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1670]) ).

thf(1806,plain,
    ! [SV41: $i,SV91: $i,SV211: $i] :
      ( ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV211 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1671]) ).

thf(1807,plain,
    ! [SV41: $i,SV91: $i,SV211: $i] :
      ( ( ( ~ ( sK3_SY15
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ SV211 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1672]) ).

thf(1813,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK59_SV213 @ SV41 ) )
        = $false )
      | ( ( ~ ( sK4_SY17
              @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
              @ ( sK59_SV213 @ SV41 ) ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1677]) ).

thf(1819,plain,
    ! [SV38: $i,SV70: $i,SV175: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV175 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV175 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1683]) ).

thf(1820,plain,
    ! [SV38: $i,SV70: $i,SV175: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV175 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV175 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1684]) ).

thf(1823,plain,
    ! [SV38: $i,SV70: $i,SV176: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV176 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV176 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1687]) ).

thf(1824,plain,
    ! [SV38: $i,SV70: $i,SV176: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV176 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV176 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1688]) ).

thf(1830,plain,
    ! [SV38: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_SV178 @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK52_SV178 @ SV38 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1694]) ).

thf(1836,plain,
    ! [SV38: $i,SV73: $i,SV180: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV180 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV180 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1700]) ).

thf(1837,plain,
    ! [SV38: $i,SV73: $i,SV180: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV180 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV180 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1701]) ).

thf(1840,plain,
    ! [SV38: $i,SV73: $i,SV181: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV181 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV181 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1704]) ).

thf(1841,plain,
    ! [SV38: $i,SV73: $i,SV181: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV181 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV181 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1705]) ).

thf(1847,plain,
    ! [SV38: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_SV183 @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK53_SV183 @ SV38 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1711]) ).

thf(1853,plain,
    ! [SV39: $i,SV76: $i,SV185: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV185 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV185 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1717]) ).

thf(1854,plain,
    ! [SV39: $i,SV76: $i,SV185: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV185 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV185 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1718]) ).

thf(1857,plain,
    ! [SV39: $i,SV76: $i,SV186: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV186 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV186 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1721]) ).

thf(1858,plain,
    ! [SV39: $i,SV76: $i,SV186: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV186 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV186 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1722]) ).

thf(1864,plain,
    ! [SV39: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK54_SV188 @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK54_SV188 @ SV39 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1728]) ).

thf(1870,plain,
    ! [SV39: $i,SV79: $i,SV190: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV190 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV190 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1734]) ).

thf(1871,plain,
    ! [SV39: $i,SV79: $i,SV190: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV190 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV190 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1735]) ).

thf(1874,plain,
    ! [SV39: $i,SV79: $i,SV191: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV191 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV191 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1738]) ).

thf(1875,plain,
    ! [SV39: $i,SV79: $i,SV191: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV191 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV191 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1739]) ).

thf(1881,plain,
    ! [SV39: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_SV193 @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK55_SV193 @ SV39 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1745]) ).

thf(1887,plain,
    ! [SV40: $i,SV82: $i,SV195: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1751]) ).

thf(1888,plain,
    ! [SV40: $i,SV82: $i,SV195: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1752]) ).

thf(1891,plain,
    ! [SV40: $i,SV82: $i,SV196: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV196 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV196 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1755]) ).

thf(1892,plain,
    ! [SV40: $i,SV82: $i,SV196: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV196 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV196 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1756]) ).

thf(1898,plain,
    ! [SV40: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK56_SV198 @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK56_SV198 @ SV40 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1762]) ).

thf(1904,plain,
    ! [SV40: $i,SV85: $i,SV200: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV200 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV200 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1768]) ).

thf(1905,plain,
    ! [SV40: $i,SV85: $i,SV200: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV200 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV200 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1769]) ).

thf(1908,plain,
    ! [SV40: $i,SV85: $i,SV201: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1772]) ).

thf(1909,plain,
    ! [SV40: $i,SV85: $i,SV201: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1773]) ).

thf(1915,plain,
    ! [SV40: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK57_SV203 @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK57_SV203 @ SV40 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1779]) ).

thf(1921,plain,
    ! [SV41: $i,SV88: $i,SV205: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV205 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV205 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1785]) ).

thf(1922,plain,
    ! [SV41: $i,SV88: $i,SV205: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV205 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV205 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1786]) ).

thf(1925,plain,
    ! [SV41: $i,SV88: $i,SV206: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1789]) ).

thf(1926,plain,
    ! [SV41: $i,SV88: $i,SV206: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1790]) ).

thf(1932,plain,
    ! [SV41: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK58_SV208 @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK58_SV208 @ SV41 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1796]) ).

thf(1938,plain,
    ! [SV41: $i,SV91: $i,SV210: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV210 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV210 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1802]) ).

thf(1939,plain,
    ! [SV41: $i,SV91: $i,SV210: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV210 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV210 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1803]) ).

thf(1942,plain,
    ! [SV41: $i,SV91: $i,SV211: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1806]) ).

thf(1943,plain,
    ! [SV41: $i,SV91: $i,SV211: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1807]) ).

thf(1949,plain,
    ! [SV41: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK59_SV213 @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK59_SV213 @ SV41 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1813]) ).

thf(1951,plain,
    ! [SV38: $i,SV70: $i,SV215: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV215 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV215 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[969]) ).

thf(1952,plain,
    ! [SV38: $i,SV70: $i,SV216: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV216 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV216 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[971]) ).

thf(1954,plain,
    ! [SV38: $i,SV70: $i,SV218: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV70 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV218 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV218 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[426]) ).

thf(1956,plain,
    ! [SV38: $i,SV94: $i,SV220: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV220 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV220 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[977]) ).

thf(1957,plain,
    ! [SV38: $i,SV94: $i,SV221: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV221 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV221 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[978]) ).

thf(1959,plain,
    ! [SV38: $i,SV94: $i,SV223: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV223 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV223 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV94 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[428]) ).

thf(1960,plain,
    ! [SV38: $i,SV224: $i,SV225: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV224 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV224 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV225 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV225 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[328]) ).

thf(1962,plain,
    ! [SV38: $i,SV73: $i,SV227: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV227 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV227 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[988]) ).

thf(1963,plain,
    ! [SV38: $i,SV73: $i,SV228: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV228 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV228 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[990]) ).

thf(1965,plain,
    ! [SV38: $i,SV73: $i,SV230: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV73 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV230 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV230 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[435]) ).

thf(1967,plain,
    ! [SV38: $i,SV95: $i,SV232: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV232 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV232 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[996]) ).

thf(1968,plain,
    ! [SV38: $i,SV95: $i,SV233: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV233 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV233 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[997]) ).

thf(1970,plain,
    ! [SV38: $i,SV95: $i,SV235: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV235 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV235 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV95 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[437]) ).

thf(1971,plain,
    ! [SV38: $i,SV236: $i,SV237: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV236 )
          = ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV236 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV237 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV237 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[333]) ).

thf(1973,plain,
    ! [SV39: $i,SV76: $i,SV239: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV239 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV239 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1007]) ).

thf(1974,plain,
    ! [SV39: $i,SV76: $i,SV240: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV240 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV240 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1009]) ).

thf(1976,plain,
    ! [SV39: $i,SV76: $i,SV242: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV76 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV242 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV242 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[444]) ).

thf(1978,plain,
    ! [SV39: $i,SV96: $i,SV244: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV244 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV244 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1015]) ).

thf(1979,plain,
    ! [SV39: $i,SV96: $i,SV245: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV245 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV245 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1016]) ).

thf(1981,plain,
    ! [SV39: $i,SV96: $i,SV247: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV247 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV247 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV96 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[446]) ).

thf(1982,plain,
    ! [SV39: $i,SV248: $i,SV249: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV248 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV248 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV249 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV249 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[338]) ).

thf(1984,plain,
    ! [SV39: $i,SV79: $i,SV251: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV251 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV251 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1026]) ).

thf(1985,plain,
    ! [SV39: $i,SV79: $i,SV252: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV252 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV252 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1028]) ).

thf(1987,plain,
    ! [SV39: $i,SV79: $i,SV254: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV79 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV254 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV254 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[453]) ).

thf(1989,plain,
    ! [SV39: $i,SV97: $i,SV256: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV256 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV256 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1034]) ).

thf(1990,plain,
    ! [SV39: $i,SV97: $i,SV257: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV257 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV257 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1035]) ).

thf(1992,plain,
    ! [SV39: $i,SV97: $i,SV259: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV259 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV259 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV97 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[455]) ).

thf(1993,plain,
    ! [SV39: $i,SV260: $i,SV261: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( ( sK10_SY21
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV260 )
          = ( sK8_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV260 ) )
        = $true )
      | ( ( ( sK2_SY9
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV261 )
          = ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV261 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[343]) ).

thf(1995,plain,
    ! [SV40: $i,SV82: $i,SV263: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV263 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV263 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1045]) ).

thf(1996,plain,
    ! [SV40: $i,SV82: $i,SV264: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV264 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV264 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1047]) ).

thf(1998,plain,
    ! [SV40: $i,SV82: $i,SV266: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV82 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV266 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV266 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[462]) ).

thf(2000,plain,
    ! [SV40: $i,SV98: $i,SV268: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV268 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV268 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1053]) ).

thf(2001,plain,
    ! [SV40: $i,SV98: $i,SV269: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV269 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV269 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1054]) ).

thf(2003,plain,
    ! [SV40: $i,SV98: $i,SV271: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV271 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV271 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV98 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[464]) ).

thf(2004,plain,
    ! [SV40: $i,SV272: $i,SV273: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV272 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV272 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV273 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV273 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[348]) ).

thf(2006,plain,
    ! [SV40: $i,SV85: $i,SV275: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV275 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV275 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1064]) ).

thf(2007,plain,
    ! [SV40: $i,SV85: $i,SV276: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV276 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV276 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1066]) ).

thf(2009,plain,
    ! [SV40: $i,SV85: $i,SV278: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV85 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV278 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV278 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[471]) ).

thf(2011,plain,
    ! [SV40: $i,SV99: $i,SV280: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV280 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV280 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1072]) ).

thf(2012,plain,
    ! [SV40: $i,SV99: $i,SV281: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV281 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV281 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1073]) ).

thf(2014,plain,
    ! [SV40: $i,SV99: $i,SV283: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV283 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV283 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV99 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV99 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[473]) ).

thf(2015,plain,
    ! [SV40: $i,SV284: $i,SV285: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV284 )
          = ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV284 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV285 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV285 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[353]) ).

thf(2017,plain,
    ! [SV41: $i,SV88: $i,SV287: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV287 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV287 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1083]) ).

thf(2018,plain,
    ! [SV41: $i,SV88: $i,SV288: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV288 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV288 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1085]) ).

thf(2020,plain,
    ! [SV41: $i,SV88: $i,SV290: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV88 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV290 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV290 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[480]) ).

thf(2022,plain,
    ! [SV41: $i,SV100: $i,SV292: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV292 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV292 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1091]) ).

thf(2023,plain,
    ! [SV41: $i,SV100: $i,SV293: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV293 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV293 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1092]) ).

thf(2025,plain,
    ! [SV41: $i,SV100: $i,SV295: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV295 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV295 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV100 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV100 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[482]) ).

thf(2026,plain,
    ! [SV41: $i,SV296: $i,SV297: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV296 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV296 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV297 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV297 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[358]) ).

thf(2028,plain,
    ! [SV41: $i,SV91: $i,SV299: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV299 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV299 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1102]) ).

thf(2029,plain,
    ! [SV41: $i,SV91: $i,SV300: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV300 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV300 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1104]) ).

thf(2031,plain,
    ! [SV41: $i,SV91: $i,SV302: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV91 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV302 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV302 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[489]) ).

thf(2033,plain,
    ! [SV41: $i,SV101: $i,SV304: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV304 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV304 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1110]) ).

thf(2034,plain,
    ! [SV41: $i,SV101: $i,SV305: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV305 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV305 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1111]) ).

thf(2036,plain,
    ! [SV41: $i,SV101: $i,SV307: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV307 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV307 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV101 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[491]) ).

thf(2037,plain,
    ! [SV41: $i,SV308: $i,SV309: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( ( sK11_SY23
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV308 )
          = ( sK9_SY12
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV308 ) )
        = $true )
      | ( ( ( sK3_SY15
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV309 )
          = ( sK4_SY17
            @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
            @ SV309 ) )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[363]) ).

thf(2042,plain,
    ! [SV38: $i,SV70: $i,SV175: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV175 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV175 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1241]) ).

thf(2043,plain,
    ! [SV38: $i,SV70: $i,SV175: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV175 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV175 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1241]) ).

thf(2044,plain,
    ! [SV38: $i,SV70: $i,SV215: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV215 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV215 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1951]) ).

thf(2045,plain,
    ! [SV38: $i,SV70: $i,SV215: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV215 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV215 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1951]) ).

thf(2046,plain,
    ! [SV38: $i,SV70: $i,SV176: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV176 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV176 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1243]) ).

thf(2047,plain,
    ! [SV38: $i,SV70: $i,SV176: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV176 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV176 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1243]) ).

thf(2048,plain,
    ! [SV38: $i,SV70: $i,SV216: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV216 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV216 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1952]) ).

thf(2049,plain,
    ! [SV38: $i,SV70: $i,SV216: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV216 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV216 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1952]) ).

thf(2056,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1247]) ).

thf(2057,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1247]) ).

thf(2058,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1248]) ).

thf(2059,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1248]) ).

thf(2062,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[561]) ).

thf(2063,plain,
    ! [SV38: $i,SV70: $i,SV118: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV118 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[561]) ).

thf(2064,plain,
    ! [SV38: $i,SV70: $i,SV218: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV218 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV218 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1954]) ).

thf(2065,plain,
    ! [SV38: $i,SV70: $i,SV218: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV218 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV218 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV70 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1954]) ).

thf(2068,plain,
    ! [SV38: $i,SV94: $i,SV220: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV220 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV220 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1956]) ).

thf(2069,plain,
    ! [SV38: $i,SV94: $i,SV220: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV220 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV220 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1956]) ).

thf(2070,plain,
    ! [SV38: $i,SV94: $i,SV221: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1957]) ).

thf(2071,plain,
    ! [SV38: $i,SV94: $i,SV221: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV221 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1957]) ).

thf(2074,plain,
    ! [SV38: $i,SV94: $i,SV223: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV223 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV223 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1959]) ).

thf(2075,plain,
    ! [SV38: $i,SV94: $i,SV223: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV94 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV223 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV223 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1959]) ).

thf(2076,plain,
    ! [SV38: $i,SV224: $i,SV225: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV225 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV225 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV224 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV224 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1960]) ).

thf(2077,plain,
    ! [SV38: $i,SV224: $i,SV225: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV225 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV225 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV224 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV224 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1960]) ).

thf(2082,plain,
    ! [SV38: $i,SV73: $i,SV180: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV180 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV180 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1257]) ).

thf(2083,plain,
    ! [SV38: $i,SV73: $i,SV180: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV180 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV180 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1257]) ).

thf(2084,plain,
    ! [SV38: $i,SV73: $i,SV227: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1962]) ).

thf(2085,plain,
    ! [SV38: $i,SV73: $i,SV227: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV227 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1962]) ).

thf(2086,plain,
    ! [SV38: $i,SV73: $i,SV181: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV181 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV181 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1259]) ).

thf(2087,plain,
    ! [SV38: $i,SV73: $i,SV181: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV181 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV181 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1259]) ).

thf(2088,plain,
    ! [SV38: $i,SV73: $i,SV228: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV228 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV228 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1963]) ).

thf(2089,plain,
    ! [SV38: $i,SV73: $i,SV228: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV228 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV228 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1963]) ).

thf(2096,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1263]) ).

thf(2097,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1263]) ).

thf(2098,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1264]) ).

thf(2099,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1264]) ).

thf(2102,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[572]) ).

thf(2103,plain,
    ! [SV38: $i,SV73: $i,SV119: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV119 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[572]) ).

thf(2104,plain,
    ! [SV38: $i,SV73: $i,SV230: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV230 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV230 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1965]) ).

thf(2105,plain,
    ! [SV38: $i,SV73: $i,SV230: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV230 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV230 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV73 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1965]) ).

thf(2108,plain,
    ! [SV38: $i,SV95: $i,SV232: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1967]) ).

thf(2109,plain,
    ! [SV38: $i,SV95: $i,SV232: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV232 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1967]) ).

thf(2110,plain,
    ! [SV38: $i,SV95: $i,SV233: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV233 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV233 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1968]) ).

thf(2111,plain,
    ! [SV38: $i,SV95: $i,SV233: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV233 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV233 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1968]) ).

thf(2114,plain,
    ! [SV38: $i,SV95: $i,SV235: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV235 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV235 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1970]) ).

thf(2115,plain,
    ! [SV38: $i,SV95: $i,SV235: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV95 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV235 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV235 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1970]) ).

thf(2116,plain,
    ! [SV38: $i,SV236: $i,SV237: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1971]) ).

thf(2117,plain,
    ! [SV38: $i,SV236: $i,SV237: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV237 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV236 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1971]) ).

thf(2122,plain,
    ! [SV39: $i,SV76: $i,SV185: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV185 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV185 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1273]) ).

thf(2123,plain,
    ! [SV39: $i,SV76: $i,SV185: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV185 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV185 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1273]) ).

thf(2124,plain,
    ! [SV39: $i,SV76: $i,SV239: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV239 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV239 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1973]) ).

thf(2125,plain,
    ! [SV39: $i,SV76: $i,SV239: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV239 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV239 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1973]) ).

thf(2126,plain,
    ! [SV39: $i,SV76: $i,SV186: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV186 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV186 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1275]) ).

thf(2127,plain,
    ! [SV39: $i,SV76: $i,SV186: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV186 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV186 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1275]) ).

thf(2128,plain,
    ! [SV39: $i,SV76: $i,SV240: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV240 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV240 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1974]) ).

thf(2129,plain,
    ! [SV39: $i,SV76: $i,SV240: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV240 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV240 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1974]) ).

thf(2136,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1279]) ).

thf(2137,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1279]) ).

thf(2138,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1280]) ).

thf(2139,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1280]) ).

thf(2142,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[583]) ).

thf(2143,plain,
    ! [SV39: $i,SV76: $i,SV120: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV120 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[583]) ).

thf(2144,plain,
    ! [SV39: $i,SV76: $i,SV242: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV242 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV242 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1976]) ).

thf(2145,plain,
    ! [SV39: $i,SV76: $i,SV242: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV242 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV242 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV76 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1976]) ).

thf(2148,plain,
    ! [SV39: $i,SV96: $i,SV244: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV244 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV244 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1978]) ).

thf(2149,plain,
    ! [SV39: $i,SV96: $i,SV244: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV244 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV244 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1978]) ).

thf(2150,plain,
    ! [SV39: $i,SV96: $i,SV245: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV245 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV245 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1979]) ).

thf(2151,plain,
    ! [SV39: $i,SV96: $i,SV245: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV245 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV245 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1979]) ).

thf(2154,plain,
    ! [SV39: $i,SV96: $i,SV247: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV247 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV247 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1981]) ).

thf(2155,plain,
    ! [SV39: $i,SV96: $i,SV247: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV96 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV247 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV247 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1981]) ).

thf(2156,plain,
    ! [SV39: $i,SV248: $i,SV249: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV249 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV249 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV248 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV248 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1982]) ).

thf(2157,plain,
    ! [SV39: $i,SV248: $i,SV249: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV249 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV249 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV248 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV248 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1982]) ).

thf(2162,plain,
    ! [SV39: $i,SV79: $i,SV190: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV190 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV190 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1289]) ).

thf(2163,plain,
    ! [SV39: $i,SV79: $i,SV190: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV190 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV190 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1289]) ).

thf(2164,plain,
    ! [SV39: $i,SV79: $i,SV251: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV251 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV251 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1984]) ).

thf(2165,plain,
    ! [SV39: $i,SV79: $i,SV251: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV251 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV251 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1984]) ).

thf(2166,plain,
    ! [SV39: $i,SV79: $i,SV191: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV191 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV191 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1291]) ).

thf(2167,plain,
    ! [SV39: $i,SV79: $i,SV191: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV191 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV191 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1291]) ).

thf(2168,plain,
    ! [SV39: $i,SV79: $i,SV252: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV252 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV252 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1985]) ).

thf(2169,plain,
    ! [SV39: $i,SV79: $i,SV252: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV252 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV252 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1985]) ).

thf(2176,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1295]) ).

thf(2177,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1295]) ).

thf(2178,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1296]) ).

thf(2179,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1296]) ).

thf(2182,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[594]) ).

thf(2183,plain,
    ! [SV39: $i,SV79: $i,SV121: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV121 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[594]) ).

thf(2184,plain,
    ! [SV39: $i,SV79: $i,SV254: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV254 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV254 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1987]) ).

thf(2185,plain,
    ! [SV39: $i,SV79: $i,SV254: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV254 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV254 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV79 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1987]) ).

thf(2188,plain,
    ! [SV39: $i,SV97: $i,SV256: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV256 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV256 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1989]) ).

thf(2189,plain,
    ! [SV39: $i,SV97: $i,SV256: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV256 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV256 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1989]) ).

thf(2190,plain,
    ! [SV39: $i,SV97: $i,SV257: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV257 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV257 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1990]) ).

thf(2191,plain,
    ! [SV39: $i,SV97: $i,SV257: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV257 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV257 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1990]) ).

thf(2194,plain,
    ! [SV39: $i,SV97: $i,SV259: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV259 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV259 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1992]) ).

thf(2195,plain,
    ! [SV39: $i,SV97: $i,SV259: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV97 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV259 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV259 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1992]) ).

thf(2196,plain,
    ! [SV39: $i,SV260: $i,SV261: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV261 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV261 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV260 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV260 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1993]) ).

thf(2197,plain,
    ! [SV39: $i,SV260: $i,SV261: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV261 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV261 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV260 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV260 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1993]) ).

thf(2202,plain,
    ! [SV40: $i,SV82: $i,SV195: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1305]) ).

thf(2203,plain,
    ! [SV40: $i,SV82: $i,SV195: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV195 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1305]) ).

thf(2204,plain,
    ! [SV40: $i,SV82: $i,SV263: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1995]) ).

thf(2205,plain,
    ! [SV40: $i,SV82: $i,SV263: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV263 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1995]) ).

thf(2206,plain,
    ! [SV40: $i,SV82: $i,SV196: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV196 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV196 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1307]) ).

thf(2207,plain,
    ! [SV40: $i,SV82: $i,SV196: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV196 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV196 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1307]) ).

thf(2208,plain,
    ! [SV40: $i,SV82: $i,SV264: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV264 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV264 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1996]) ).

thf(2209,plain,
    ! [SV40: $i,SV82: $i,SV264: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV264 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV264 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1996]) ).

thf(2216,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1311]) ).

thf(2217,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1311]) ).

thf(2218,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1312]) ).

thf(2219,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1312]) ).

thf(2222,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[605]) ).

thf(2223,plain,
    ! [SV40: $i,SV82: $i,SV122: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV122 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[605]) ).

thf(2224,plain,
    ! [SV40: $i,SV82: $i,SV266: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV266 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV266 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1998]) ).

thf(2225,plain,
    ! [SV40: $i,SV82: $i,SV266: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV266 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV266 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV82 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1998]) ).

thf(2228,plain,
    ! [SV40: $i,SV98: $i,SV268: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV268 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV268 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2000]) ).

thf(2229,plain,
    ! [SV40: $i,SV98: $i,SV268: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV268 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV268 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2000]) ).

thf(2230,plain,
    ! [SV40: $i,SV98: $i,SV269: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV269 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV269 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2001]) ).

thf(2231,plain,
    ! [SV40: $i,SV98: $i,SV269: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV269 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV269 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2001]) ).

thf(2234,plain,
    ! [SV40: $i,SV98: $i,SV271: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV271 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV271 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2003]) ).

thf(2235,plain,
    ! [SV40: $i,SV98: $i,SV271: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV98 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV271 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV271 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2003]) ).

thf(2236,plain,
    ! [SV40: $i,SV272: $i,SV273: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV273 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV273 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV272 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV272 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2004]) ).

thf(2237,plain,
    ! [SV40: $i,SV272: $i,SV273: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV273 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV273 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV272 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV272 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2004]) ).

thf(2242,plain,
    ! [SV40: $i,SV85: $i,SV200: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV200 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV200 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1321]) ).

thf(2243,plain,
    ! [SV40: $i,SV85: $i,SV200: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV200 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV200 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1321]) ).

thf(2244,plain,
    ! [SV40: $i,SV85: $i,SV275: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV275 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV275 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2006]) ).

thf(2245,plain,
    ! [SV40: $i,SV85: $i,SV275: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV275 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV275 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2006]) ).

thf(2246,plain,
    ! [SV40: $i,SV85: $i,SV201: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1323]) ).

thf(2247,plain,
    ! [SV40: $i,SV85: $i,SV201: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV201 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1323]) ).

thf(2248,plain,
    ! [SV40: $i,SV85: $i,SV276: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV276 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV276 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2007]) ).

thf(2249,plain,
    ! [SV40: $i,SV85: $i,SV276: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV276 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV276 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2007]) ).

thf(2256,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1327]) ).

thf(2257,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1327]) ).

thf(2258,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1328]) ).

thf(2259,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1328]) ).

thf(2262,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[616]) ).

thf(2263,plain,
    ! [SV40: $i,SV85: $i,SV123: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV123 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[616]) ).

thf(2264,plain,
    ! [SV40: $i,SV85: $i,SV278: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV278 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV278 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2009]) ).

thf(2265,plain,
    ! [SV40: $i,SV85: $i,SV278: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV278 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV278 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV85 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2009]) ).

thf(2268,plain,
    ! [SV40: $i,SV99: $i,SV280: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV280 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV280 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2011]) ).

thf(2269,plain,
    ! [SV40: $i,SV99: $i,SV280: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV280 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV280 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2011]) ).

thf(2270,plain,
    ! [SV40: $i,SV99: $i,SV281: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV281 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV281 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2012]) ).

thf(2271,plain,
    ! [SV40: $i,SV99: $i,SV281: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV281 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV281 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2012]) ).

thf(2274,plain,
    ! [SV40: $i,SV99: $i,SV283: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV283 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV283 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2014]) ).

thf(2275,plain,
    ! [SV40: $i,SV99: $i,SV283: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV99 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV283 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV283 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2014]) ).

thf(2276,plain,
    ! [SV40: $i,SV284: $i,SV285: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV284 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV284 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2015]) ).

thf(2277,plain,
    ! [SV40: $i,SV284: $i,SV285: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV285 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV284 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV284 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2015]) ).

thf(2282,plain,
    ! [SV41: $i,SV88: $i,SV205: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV205 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV205 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1337]) ).

thf(2283,plain,
    ! [SV41: $i,SV88: $i,SV205: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV205 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV205 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1337]) ).

thf(2284,plain,
    ! [SV41: $i,SV88: $i,SV287: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV287 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV287 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2017]) ).

thf(2285,plain,
    ! [SV41: $i,SV88: $i,SV287: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV287 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV287 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2017]) ).

thf(2286,plain,
    ! [SV41: $i,SV88: $i,SV206: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1339]) ).

thf(2287,plain,
    ! [SV41: $i,SV88: $i,SV206: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV206 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1339]) ).

thf(2288,plain,
    ! [SV41: $i,SV88: $i,SV288: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV288 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV288 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2018]) ).

thf(2289,plain,
    ! [SV41: $i,SV88: $i,SV288: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV288 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV288 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2018]) ).

thf(2296,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1343]) ).

thf(2297,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1343]) ).

thf(2298,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1344]) ).

thf(2299,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1344]) ).

thf(2302,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[627]) ).

thf(2303,plain,
    ! [SV41: $i,SV88: $i,SV124: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV124 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[627]) ).

thf(2304,plain,
    ! [SV41: $i,SV88: $i,SV290: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV290 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV290 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2020]) ).

thf(2305,plain,
    ! [SV41: $i,SV88: $i,SV290: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV290 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV290 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV88 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2020]) ).

thf(2308,plain,
    ! [SV41: $i,SV100: $i,SV292: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV292 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV292 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2022]) ).

thf(2309,plain,
    ! [SV41: $i,SV100: $i,SV292: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV292 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV292 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2022]) ).

thf(2310,plain,
    ! [SV41: $i,SV100: $i,SV293: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV293 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV293 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2023]) ).

thf(2311,plain,
    ! [SV41: $i,SV100: $i,SV293: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV293 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV293 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2023]) ).

thf(2314,plain,
    ! [SV41: $i,SV100: $i,SV295: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV295 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV295 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2025]) ).

thf(2315,plain,
    ! [SV41: $i,SV100: $i,SV295: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV100 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV295 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV295 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2025]) ).

thf(2316,plain,
    ! [SV41: $i,SV296: $i,SV297: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV297 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV297 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV296 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV296 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2026]) ).

thf(2317,plain,
    ! [SV41: $i,SV296: $i,SV297: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV297 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV297 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV296 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV296 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[2026]) ).

thf(2322,plain,
    ! [SV41: $i,SV91: $i,SV210: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV210 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV210 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1353]) ).

thf(2323,plain,
    ! [SV41: $i,SV91: $i,SV210: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV210 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV210 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1353]) ).

thf(2324,plain,
    ! [SV41: $i,SV91: $i,SV299: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV299 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV299 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2028]) ).

thf(2325,plain,
    ! [SV41: $i,SV91: $i,SV299: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV299 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV299 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2028]) ).

thf(2326,plain,
    ! [SV41: $i,SV91: $i,SV211: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[1355]) ).

thf(2327,plain,
    ! [SV41: $i,SV91: $i,SV211: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV211 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1355]) ).

thf(2328,plain,
    ! [SV41: $i,SV91: $i,SV300: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV300 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV300 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2029]) ).

thf(2329,plain,
    ! [SV41: $i,SV91: $i,SV300: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV300 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV300 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2029]) ).

thf(2336,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1359]) ).

thf(2337,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1359]) ).

thf(2338,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1360]) ).

thf(2339,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[1360]) ).

thf(2342,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false ) ),
    inference(extcnf_equal_pos,[status(thm)],[638]) ).

thf(2343,plain,
    ! [SV41: $i,SV91: $i,SV125: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV125 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[638]) ).

thf(2344,plain,
    ! [SV41: $i,SV91: $i,SV302: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV302 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV302 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2031]) ).

thf(2345,plain,
    ! [SV41: $i,SV91: $i,SV302: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV302 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV302 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV91 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2031]) ).

thf(2348,plain,
    ! [SV41: $i,SV101: $i,SV304: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV304 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV304 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2033]) ).

thf(2349,plain,
    ! [SV41: $i,SV101: $i,SV304: $i] :
      ( ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV304 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV304 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2033]) ).

thf(2350,plain,
    ! [SV41: $i,SV101: $i,SV305: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV305 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV305 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2034]) ).

thf(2351,plain,
    ! [SV41: $i,SV101: $i,SV305: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV305 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV305 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2034]) ).

thf(2354,plain,
    ! [SV41: $i,SV101: $i,SV307: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2036]) ).

thf(2355,plain,
    ! [SV41: $i,SV101: $i,SV307: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV101 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV307 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2036]) ).

thf(2356,plain,
    ! [SV41: $i,SV308: $i,SV309: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2037]) ).

thf(2357,plain,
    ! [SV41: $i,SV308: $i,SV309: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV309 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV308 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true ) ),
    inference(extcnf_equal_pos,[status(thm)],[2037]) ).

thf(2358,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK60_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK60_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[841]) ).

thf(2359,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK60_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK60_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[841]) ).

thf(2360,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK61_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK61_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1129]) ).

thf(2361,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK20_SV72 @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK61_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK61_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1129]) ).

thf(2362,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_E @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV103 @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV103 @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[845]) ).

thf(2363,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_E @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK63_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV103 @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV103 @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[845]) ).

thf(2364,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK64_E @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK64_E @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV103 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV103 @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1132]) ).

thf(2365,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK64_E @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK64_E @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV103 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK28_SV103 @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1132]) ).

thf(2366,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_E @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_E @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[432]) ).

thf(2367,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_E @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK66_E @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[432]) ).

thf(2368,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK67_E @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK67_E @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[432]) ).

thf(2369,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK67_E @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK67_E @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK65_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[432]) ).

thf(2370,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_E @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_E @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[185]) ).

thf(2371,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK69_E @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_E @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[185]) ).

thf(2372,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK70_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK70_E @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_E @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[185]) ).

thf(2373,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK70_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK70_E @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_E @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK68_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[185]) ).

thf(2374,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK72_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK72_E @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK71_E @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK71_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[185]) ).

thf(2375,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK72_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK72_E @ SV38 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK71_E @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK71_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[185]) ).

thf(2376,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK73_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK73_E @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK71_E @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK71_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[185]) ).

thf(2377,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK73_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK73_E @ SV38 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK71_E @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK71_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[185]) ).

thf(2378,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK74_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK74_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[858]) ).

thf(2379,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK74_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK74_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[858]) ).

thf(2380,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK75_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK75_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1144]) ).

thf(2381,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK21_SV75 @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK75_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK75_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1144]) ).

thf(2382,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK77_E @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK77_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV105 @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV105 @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[862]) ).

thf(2383,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK77_E @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK77_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV105 @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV105 @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[862]) ).

thf(2384,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK78_E @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK78_E @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV105 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV105 @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1147]) ).

thf(2385,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK78_E @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK78_E @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV105 @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK29_SV105 @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1147]) ).

thf(2386,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK80_E @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK80_E @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[441]) ).

thf(2387,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK80_E @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK80_E @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[441]) ).

thf(2388,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK81_E @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK81_E @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[441]) ).

thf(2389,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK81_E @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK81_E @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK79_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[441]) ).

thf(2390,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK83_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK83_E @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK82_E @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK82_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[187]) ).

thf(2391,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK83_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK83_E @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK82_E @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK82_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[187]) ).

thf(2392,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK84_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK84_E @ SV38 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK82_E @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK82_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[187]) ).

thf(2393,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK84_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK84_E @ SV38 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK82_E @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK82_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[187]) ).

thf(2394,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK86_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK86_E @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK85_E @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK85_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[187]) ).

thf(2395,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK86_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK86_E @ SV38 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK85_E @ SV38 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK85_E @ SV38 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[187]) ).

thf(2396,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK87_E @ SV38 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK87_E @ SV38 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK85_E @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK85_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[187]) ).

thf(2397,plain,
    ! [SV38: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV38 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK87_E @ SV38 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK87_E @ SV38 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK85_E @ SV38 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK85_E @ SV38 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[187]) ).

thf(2398,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK88_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK88_E @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[875]) ).

thf(2399,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK88_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK88_E @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[875]) ).

thf(2400,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK89_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK89_E @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1159]) ).

thf(2401,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK22_SV78 @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK89_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK89_E @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1159]) ).

thf(2402,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK91_E @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK91_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV107 @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV107 @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[879]) ).

thf(2403,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK91_E @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK91_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV107 @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV107 @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[879]) ).

thf(2404,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK92_E @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK92_E @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV107 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV107 @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1162]) ).

thf(2405,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK92_E @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK92_E @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV107 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK30_SV107 @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1162]) ).

thf(2406,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[450]) ).

thf(2407,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK94_E @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[450]) ).

thf(2408,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK95_E @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK95_E @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[450]) ).

thf(2409,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK95_E @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK95_E @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK93_E @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[450]) ).

thf(2410,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK96_E @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK96_E @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[189]) ).

thf(2411,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK97_E @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK96_E @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK96_E @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[189]) ).

thf(2412,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK98_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK98_E @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK96_E @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK96_E @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[189]) ).

thf(2413,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK98_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK98_E @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK96_E @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK96_E @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[189]) ).

thf(2414,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK100_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK100_E @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[189]) ).

thf(2415,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK100_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK100_E @ SV39 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[189]) ).

thf(2416,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK101_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK101_E @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[189]) ).

thf(2417,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK101_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK101_E @ SV39 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK99_E @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[189]) ).

thf(2418,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK102_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK102_E @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[892]) ).

thf(2419,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK102_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK102_E @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[892]) ).

thf(2420,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK103_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK103_E @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1174]) ).

thf(2421,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK23_SV81 @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK103_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK103_E @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1174]) ).

thf(2422,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK105_E @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK105_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK31_SV109 @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK31_SV109 @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[896]) ).

thf(2423,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK105_E @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK105_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK31_SV109 @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK31_SV109 @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[896]) ).

thf(2424,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK106_E @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK106_E @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK31_SV109 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK31_SV109 @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1177]) ).

thf(2425,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK106_E @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK106_E @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK31_SV109 @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK31_SV109 @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1177]) ).

thf(2426,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK108_E @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK108_E @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[459]) ).

thf(2427,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK108_E @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK108_E @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[459]) ).

thf(2428,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK109_E @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK109_E @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[459]) ).

thf(2429,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK109_E @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK109_E @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK107_E @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[459]) ).

thf(2430,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK111_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK111_E @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK110_E @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK110_E @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[191]) ).

thf(2431,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK111_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK111_E @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK110_E @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK110_E @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[191]) ).

thf(2432,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK112_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK112_E @ SV39 ) )
        = $true )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK110_E @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK110_E @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[191]) ).

thf(2433,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK112_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK112_E @ SV39 ) )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK110_E @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK110_E @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[191]) ).

thf(2434,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK114_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK114_E @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK113_E @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK113_E @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[191]) ).

thf(2435,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK114_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK114_E @ SV39 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK113_E @ SV39 ) )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK113_E @ SV39 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[191]) ).

thf(2436,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK115_E @ SV39 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK115_E @ SV39 ) )
        = $true )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK113_E @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK113_E @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[191]) ).

thf(2437,plain,
    ! [SV39: $i] :
      ( ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV39 )
        = $false )
      | ( ( sK8_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK115_E @ SV39 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK115_E @ SV39 ) )
        = $false )
      | ( ( sK10_SY21
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK113_E @ SV39 ) )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK113_E @ SV39 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[191]) ).

thf(2438,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK116_E @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK116_E @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[909]) ).

thf(2439,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK116_E @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK116_E @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[909]) ).

thf(2440,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK117_E @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK117_E @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1189]) ).

thf(2441,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK24_SV84 @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK117_E @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK117_E @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1189]) ).

thf(2442,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK119_E @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK119_E @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV111 @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV111 @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[913]) ).

thf(2443,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK119_E @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK119_E @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV111 @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV111 @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[913]) ).

thf(2444,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK120_E @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK120_E @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV111 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV111 @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1192]) ).

thf(2445,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK120_E @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK120_E @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV111 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK32_SV111 @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1192]) ).

thf(2446,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK122_E @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK122_E @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[468]) ).

thf(2447,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK122_E @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK122_E @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[468]) ).

thf(2448,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK123_E @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK123_E @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[468]) ).

thf(2449,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK123_E @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK123_E @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK121_E @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[468]) ).

thf(2450,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK125_E @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK125_E @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK124_E @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK124_E @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[193]) ).

thf(2451,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK125_E @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK125_E @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK124_E @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK124_E @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[193]) ).

thf(2452,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK126_E @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK126_E @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK124_E @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK124_E @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[193]) ).

thf(2453,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK126_E @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK126_E @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK124_E @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK124_E @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[193]) ).

thf(2454,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK128_E @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK128_E @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK127_E @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK127_E @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[193]) ).

thf(2455,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK128_E @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK128_E @ SV40 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK127_E @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK127_E @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[193]) ).

thf(2456,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK129_E @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK129_E @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK127_E @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK127_E @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[193]) ).

thf(2457,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK129_E @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK129_E @ SV40 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK127_E @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK127_E @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[193]) ).

thf(2458,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK130_E @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK130_E @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[926]) ).

thf(2459,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK130_E @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK130_E @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[926]) ).

thf(2460,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK131_E @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK131_E @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1204]) ).

thf(2461,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK25_SV87 @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK131_E @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK131_E @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1204]) ).

thf(2462,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK133_E @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK133_E @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV113 @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV113 @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[930]) ).

thf(2463,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK133_E @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK133_E @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV113 @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV113 @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[930]) ).

thf(2464,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK134_E @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK134_E @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV113 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV113 @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1207]) ).

thf(2465,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK134_E @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK134_E @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV113 @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK33_SV113 @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1207]) ).

thf(2466,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK136_E @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK136_E @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK135_E @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK135_E @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[477]) ).

thf(2467,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK136_E @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK136_E @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK135_E @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK135_E @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[477]) ).

thf(2468,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK137_E @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK137_E @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK135_E @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK135_E @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[477]) ).

thf(2469,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK137_E @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK137_E @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK135_E @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK135_E @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[477]) ).

thf(2470,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK139_E @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK139_E @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK138_E @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK138_E @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[195]) ).

thf(2471,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK139_E @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK139_E @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK138_E @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK138_E @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[195]) ).

thf(2472,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK140_E @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK140_E @ SV40 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK138_E @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK138_E @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[195]) ).

thf(2473,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK140_E @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK140_E @ SV40 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK138_E @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK138_E @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[195]) ).

thf(2474,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK142_E @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK142_E @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK141_E @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK141_E @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[195]) ).

thf(2475,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK142_E @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK142_E @ SV40 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK141_E @ SV40 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK141_E @ SV40 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[195]) ).

thf(2476,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK143_E @ SV40 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK143_E @ SV40 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK141_E @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK141_E @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[195]) ).

thf(2477,plain,
    ! [SV40: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV40 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK143_E @ SV40 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK143_E @ SV40 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK141_E @ SV40 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK141_E @ SV40 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[195]) ).

thf(2478,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK144_E @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK144_E @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[943]) ).

thf(2479,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK144_E @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK144_E @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[943]) ).

thf(2480,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK145_E @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK145_E @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1219]) ).

thf(2481,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK26_SV90 @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK145_E @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK145_E @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1219]) ).

thf(2482,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK147_E @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK147_E @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV115 @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV115 @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[947]) ).

thf(2483,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK147_E @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK147_E @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV115 @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV115 @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[947]) ).

thf(2484,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK148_E @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK148_E @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV115 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV115 @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1222]) ).

thf(2485,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK148_E @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK148_E @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV115 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK34_SV115 @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1222]) ).

thf(2486,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK150_E @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK150_E @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[486]) ).

thf(2487,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK150_E @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK150_E @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[486]) ).

thf(2488,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK151_E @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK151_E @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[486]) ).

thf(2489,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK151_E @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK151_E @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK149_E @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[486]) ).

thf(2490,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK153_E @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK153_E @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK152_E @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK152_E @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[197]) ).

thf(2491,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK153_E @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK153_E @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK152_E @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK152_E @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[197]) ).

thf(2492,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK154_E @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK154_E @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK152_E @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK152_E @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[197]) ).

thf(2493,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK154_E @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK154_E @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK152_E @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK152_E @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[197]) ).

thf(2494,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK156_E @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK156_E @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK155_E @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK155_E @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[197]) ).

thf(2495,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK156_E @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK156_E @ SV41 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK155_E @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK155_E @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[197]) ).

thf(2496,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK157_E @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK157_E @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK155_E @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK155_E @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[197]) ).

thf(2497,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK157_E @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK157_E @ SV41 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK155_E @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK155_E @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[197]) ).

thf(2498,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK158_E @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK158_E @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[960]) ).

thf(2499,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK158_E @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK158_E @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[960]) ).

thf(2500,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK159_E @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK159_E @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[1234]) ).

thf(2501,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK27_SV93 @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK159_E @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK159_E @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1234]) ).

thf(2502,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK161_E @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK161_E @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV117 @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV117 @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[964]) ).

thf(2503,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK161_E @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK161_E @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV117 @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV117 @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[964]) ).

thf(2504,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK162_E @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK162_E @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV117 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV117 @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1237]) ).

thf(2505,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK162_E @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK162_E @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV117 @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK35_SV117 @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[1237]) ).

thf(2506,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK164_E @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK164_E @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[495]) ).

thf(2507,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK164_E @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK164_E @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[495]) ).

thf(2508,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK165_E @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK165_E @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[495]) ).

thf(2509,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK165_E @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK165_E @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK163_E @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[495]) ).

thf(2510,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK167_E @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK167_E @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK166_E @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK166_E @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[199]) ).

thf(2511,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK167_E @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK167_E @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK166_E @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK166_E @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[199]) ).

thf(2512,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK168_E @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK168_E @ SV41 ) )
        = $true )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK166_E @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK166_E @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[199]) ).

thf(2513,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK168_E @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK168_E @ SV41 ) )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK166_E @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK166_E @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[199]) ).

thf(2514,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK170_E @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK170_E @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK169_E @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK169_E @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[199]) ).

thf(2515,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK170_E @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK170_E @ SV41 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK169_E @ SV41 ) )
        = $true )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK169_E @ SV41 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[199]) ).

thf(2516,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK171_E @ SV41 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK171_E @ SV41 ) )
        = $true )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK169_E @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK169_E @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[199]) ).

thf(2517,plain,
    ! [SV41: $i] :
      ( ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV41 )
        = $false )
      | ( ( sK9_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK171_E @ SV41 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK171_E @ SV41 ) )
        = $false )
      | ( ( sK11_SY23
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK169_E @ SV41 ) )
        = $false )
      | ( ( sK3_SY15
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK169_E @ SV41 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[199]) ).

thf(2518,plain,
    ! [SV42: $i] :
      ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_E @ SV42 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_E @ SV42 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[201]) ).

thf(2519,plain,
    ! [SV42: $i] :
      ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_E @ SV42 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK172_E @ SV42 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[201]) ).

thf(2520,plain,
    ! [SV42: $i] :
      ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_E @ SV42 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_E @ SV42 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[203]) ).

thf(2521,plain,
    ! [SV42: $i] :
      ( ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $true )
      | ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV42 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_E @ SV42 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK173_E @ SV42 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[203]) ).

thf(2522,plain,
    ! [SV43: $i] :
      ( ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_E @ SV43 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_E @ SV43 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[205]) ).

thf(2523,plain,
    ! [SV43: $i] :
      ( ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_E @ SV43 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK174_E @ SV43 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[205]) ).

thf(2524,plain,
    ! [SV43: $i] :
      ( ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_E @ SV43 ) )
        = $true )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_E @ SV43 ) )
        = $true ) ),
    inference(extuni,[status(esa)],[207]) ).

thf(2525,plain,
    ! [SV43: $i] :
      ( ( ( sK6_SY18
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $true )
      | ( ( sK5_SY12
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ SV43 )
        = $false )
      | ( ( sK2_SY9
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_E @ SV43 ) )
        = $false )
      | ( ( sK4_SY17
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
          @ ( sK175_E @ SV43 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[207]) ).

thf(2526,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_E )
      = $true ) ),
    inference(extuni,[status(esa)],[209]) ).

thf(2527,plain,
    ( ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $false )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK176_E )
      = $false ) ),
    inference(extuni,[status(esa)],[209]) ).

thf(2528,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK177_E )
      = $true )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK177_E )
      = $true ) ),
    inference(extuni,[status(esa)],[211]) ).

thf(2529,plain,
    ( ( ( sK6_SY18
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK5_SY12
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ ( sK7_SY20
          @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
      = $true )
    | ( ( sK2_SY9
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK177_E )
      = $false )
    | ( ( sK4_SY17
        @ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
        @ sK177_E )
      = $false ) ),
    inference(extuni,[status(esa)],[211]) ).

thf(2530,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[52,2529,2528,2527,2526,2525,2524,2523,2522,2521,2520,2519,2518,2517,2516,2515,2514,2513,2512,2511,2510,2509,2508,2507,2506,2505,2504,2503,2502,2501,2500,2499,2498,2497,2496,2495,2494,2493,2492,2491,2490,2489,2488,2487,2486,2485,2484,2483,2482,2481,2480,2479,2478,2477,2476,2475,2474,2473,2472,2471,2470,2469,2468,2467,2466,2465,2464,2463,2462,2461,2460,2459,2458,2457,2456,2455,2454,2453,2452,2451,2450,2449,2448,2447,2446,2445,2444,2443,2442,2441,2440,2439,2438,2437,2436,2435,2434,2433,2432,2431,2430,2429,2428,2427,2426,2425,2424,2423,2422,2421,2420,2419,2418,2417,2416,2415,2414,2413,2412,2411,2410,2409,2408,2407,2406,2405,2404,2403,2402,2401,2400,2399,2398,2397,2396,2395,2394,2393,2392,2391,2390,2389,2388,2387,2386,2385,2384,2383,2382,2381,2380,2379,2378,2377,2376,2375,2374,2373,2372,2371,2370,2369,2368,2367,2366,2365,2364,2363,2362,2361,2360,2359,2358,2357,2356,2355,2354,2351,2350,2349,2348,2345,2344,2343,2342,2339,2338,2337,2336,2329,2328,2327,2326,2325,2324,2323,2322,2317,2316,2315,2314,2311,2310,2309,2308,2305,2304,2303,2302,2299,2298,2297,2296,2289,2288,2287,2286,2285,2284,2283,2282,2277,2276,2275,2274,2271,2270,2269,2268,2265,2264,2263,2262,2259,2258,2257,2256,2249,2248,2247,2246,2245,2244,2243,2242,2237,2236,2235,2234,2231,2230,2229,2228,2225,2224,2223,2222,2219,2218,2217,2216,2209,2208,2207,2206,2205,2204,2203,2202,2197,2196,2195,2194,2191,2190,2189,2188,2185,2184,2183,2182,2179,2178,2177,2176,2169,2168,2167,2166,2165,2164,2163,2162,2157,2156,2155,2154,2151,2150,2149,2148,2145,2144,2143,2142,2139,2138,2137,2136,2129,2128,2127,2126,2125,2124,2123,2122,2117,2116,2115,2114,2111,2110,2109,2108,2105,2104,2103,2102,2099,2098,2097,2096,2089,2088,2087,2086,2085,2084,2083,2082,2077,2076,2075,2074,2071,2070,2069,2068,2065,2064,2063,2062,2059,2058,2057,2056,2049,2048,2047,2046,2045,2044,2043,2042,1949,1943,1942,1939,1938,1932,1926,1925,1922,1921,1915,1909,1908,1905,1904,1898,1892,1891,1888,1887,1881,1875,1874,1871,1870,1864,1858,1857,1854,1853,1847,1841,1840,1837,1836,1830,1824,1823,1820,1819,1676,1675,1665,1664,1654,1653,1643,1642,1632,1631,1621,1620,1610,1609,1599,1598,1498,1490,1482,1474,1466,1458,1450,1442,501,500,499,498,497,496,376,374,372,370,368,366,183,182,181,180,179,178,177,176,175,174,173,172,171,170,169,168,137,135,129,127,125,121,119,117,115,113,111,109,107,106,99,96,89,80,79,77,76,75,53]) ).

thf(2531,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[2530]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV086^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.20  % Computer : n017.cluster.edu
% 0.12/0.20  % Model    : x86_64 x86_64
% 0.12/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.20  % Memory   : 8046.5625MB
% 0.12/0.20  % OS       : Linux 6.8.0-71-generic
% 0.12/0.20  % CPULimit : 300
% 0.12/0.20  % WCLimit  : 300
% 0.12/0.20  % DateTime : Tue Oct  6 15:36:45 UTC 2026
% 0.12/0.20  % CPUTime  : 
% 0.12/0.20  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 46.42/8.08  
% 46.42/8.08   No.of.Axioms: 0
% 46.42/8.08  
% 46.42/8.08   Length.of.Defs: 0
% 46.42/8.08  
% 46.42/8.08   Contains.Choice.Funs: false
% 46.42/8.08  ......................................
% 46.42/8.08  
% 46.42/8.08  ********************************
% 46.42/8.08  *   All subproblems solved!    *
% 46.42/8.08  ********************************
% 46.42/8.08  % SZS status Theorem for /export/starexec/sandbox2/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:2530,loop_count:0,foatp_calls:2,translation:fof_full)
% 46.42/8.08  
% 46.42/8.08  %**** Beginning of derivation protocol ****
% 46.42/8.08  % SZS output start CNFRefutation
% See solution above
% 46.42/8.10  
% 46.42/8.10  %**** End of derivation protocol ****
% 46.42/8.10  %**** no. of clauses in derivation: 1742 ****
% 46.42/8.10  %**** clause counter: 2530 ****
% 46.42/8.10  
% 46.42/8.10  % SZS status Theorem for /export/starexec/sandbox2/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:2530,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------