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

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : SEV108^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n001.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 10:49:34 AM UTC 2026

% Result   : Theorem 143.85s 24.35s
% Output   : CNFRefutation 143.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :    1
% Syntax   : Number of formulae    :  387 (  91 unt;   0 typ;   0 def)
%            Number of atoms       : 5259 (2662 equ;   0 cnn)
%            Maximal formula atoms :   18 (  13 avg)
%            Number of connectives : 4000 ( 328   ~;1311   |; 236   &;2104   @)
%                                         (   0 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   7 usr;   8 con; 0-2 aty)
%            Number of variables   :  501 (   0   ^; 465   !;  36   ?; 501   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_sK1_R,type,
    sK1_R: $i > $i > $o ).

thf(tp_sK2_SY12,type,
    sK2_SY12: $i ).

thf(tp_sK3_SY23,type,
    sK3_SY23: $i ).

thf(tp_sK4_SY33,type,
    sK4_SY33: $i ).

thf(tp_sK5_SY42,type,
    sK5_SY42: $i ).

thf(tp_sK6_SY50,type,
    sK6_SY50: $i ).

thf(tp_sK7_SY57,type,
    sK7_SY57: $i ).

thf(1,conjecture,
    ! [R: $i > $i > $o,A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ! [Xx: $i,Xy: $i] :
            ( ( R @ Xx @ Xy )
           => ( R @ Xy @ Xx ) )
        & ( A != B )
        & ( A != C )
        & ( A != D )
        & ( A != E )
        & ( A != F )
        & ( B != C )
        & ( B != D )
        & ( B != E )
        & ( B != F )
        & ( C != D )
        & ( C != E )
        & ( C != F )
        & ( D != E )
        & ( D != F )
        & ( E != F ) )
     => ? [Xa: $i,Xb: $i,Xc: $i] :
          ( ( Xa != Xb )
          & ( Xa != Xc )
          & ( Xb != Xc )
          & ( ( ( R @ Xa @ Xb )
              & ( R @ Xa @ Xc )
              & ( R @ Xb @ Xc ) )
            | ( ~ ( R @ Xa @ Xb )
              & ~ ( R @ Xa @ Xc )
              & ~ ( R @ Xb @ Xc ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSIX_THEOREM_pme) ).

thf(2,negated_conjecture,
    ( ( ! [R: $i > $i > $o,A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ( ! [Xx: $i,Xy: $i] :
                ( ( R @ Xx @ Xy )
               => ( R @ Xy @ Xx ) )
            & ( A != B )
            & ( A != C )
            & ( A != D )
            & ( A != E )
            & ( A != F )
            & ( B != C )
            & ( B != D )
            & ( B != E )
            & ( B != F )
            & ( C != D )
            & ( C != E )
            & ( C != F )
            & ( D != E )
            & ( D != F )
            & ( E != F ) )
         => ? [Xa: $i,Xb: $i,Xc: $i] :
              ( ( Xa != Xb )
              & ( Xa != Xc )
              & ( Xb != Xc )
              & ( ( ( R @ Xa @ Xb )
                  & ( R @ Xa @ Xc )
                  & ( R @ Xb @ Xc ) )
                | ( ~ ( R @ Xa @ Xb )
                  & ~ ( R @ Xa @ Xc )
                  & ~ ( R @ Xb @ Xc ) ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ! [R: $i > $i > $o,A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ( ! [Xx: $i,Xy: $i] :
                ( ( R @ Xx @ Xy )
               => ( R @ Xy @ Xx ) )
            & ( A != B )
            & ( A != C )
            & ( A != D )
            & ( A != E )
            & ( A != F )
            & ( B != C )
            & ( B != D )
            & ( B != E )
            & ( B != F )
            & ( C != D )
            & ( C != E )
            & ( C != F )
            & ( D != E )
            & ( D != F )
            & ( E != F ) )
         => ? [Xa: $i,Xb: $i,Xc: $i] :
              ( ( Xa != Xb )
              & ( Xa != Xc )
              & ( Xb != Xc )
              & ( ( ( R @ Xa @ Xb )
                  & ( R @ Xa @ Xc )
                  & ( R @ Xb @ Xc ) )
                | ( ~ ( R @ Xa @ Xb )
                  & ~ ( R @ Xa @ Xc )
                  & ~ ( R @ Xb @ Xc ) ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ! [SY12: $i,SY13: $i,SY14: $i,SY15: $i,SY16: $i,SY17: $i] :
          ( ( ! [SY18: $i,SY19: $i] :
                ( ( sK1_R @ SY18 @ SY19 )
               => ( sK1_R @ SY19 @ SY18 ) )
            & ( SY12 != SY13 )
            & ( SY12 != SY14 )
            & ( SY12 != SY15 )
            & ( SY12 != SY16 )
            & ( SY12 != SY17 )
            & ( SY13 != SY14 )
            & ( SY13 != SY15 )
            & ( SY13 != SY16 )
            & ( SY13 != SY17 )
            & ( SY14 != SY15 )
            & ( SY14 != SY16 )
            & ( SY14 != SY17 )
            & ( SY15 != SY16 )
            & ( SY15 != SY17 )
            & ( SY16 != SY17 ) )
         => ? [SY20: $i,SY21: $i,SY22: $i] :
              ( ( SY20 != SY21 )
              & ( SY20 != SY22 )
              & ( SY21 != SY22 )
              & ( ( ( sK1_R @ SY20 @ SY21 )
                  & ( sK1_R @ SY20 @ SY22 )
                  & ( sK1_R @ SY21 @ SY22 ) )
                | ( ~ ( sK1_R @ SY20 @ SY21 )
                  & ~ ( sK1_R @ SY20 @ SY22 )
                  & ~ ( sK1_R @ SY21 @ SY22 ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[3]) ).

thf(5,plain,
    ( ( ! [SY23: $i,SY24: $i,SY25: $i,SY26: $i,SY27: $i] :
          ( ( ! [SY18: $i,SY19: $i] :
                ( ( sK1_R @ SY18 @ SY19 )
               => ( sK1_R @ SY19 @ SY18 ) )
            & ( sK2_SY12 != SY23 )
            & ( sK2_SY12 != SY24 )
            & ( sK2_SY12 != SY25 )
            & ( sK2_SY12 != SY26 )
            & ( sK2_SY12 != SY27 )
            & ( SY23 != SY24 )
            & ( SY23 != SY25 )
            & ( SY23 != SY26 )
            & ( SY23 != SY27 )
            & ( SY24 != SY25 )
            & ( SY24 != SY26 )
            & ( SY24 != SY27 )
            & ( SY25 != SY26 )
            & ( SY25 != SY27 )
            & ( SY26 != SY27 ) )
         => ? [SY20: $i,SY21: $i,SY22: $i] :
              ( ( SY20 != SY21 )
              & ( SY20 != SY22 )
              & ( SY21 != SY22 )
              & ( ( ( sK1_R @ SY20 @ SY21 )
                  & ( sK1_R @ SY20 @ SY22 )
                  & ( sK1_R @ SY21 @ SY22 ) )
                | ( ~ ( sK1_R @ SY20 @ SY21 )
                  & ~ ( sK1_R @ SY20 @ SY22 )
                  & ~ ( sK1_R @ SY21 @ SY22 ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[4]) ).

thf(6,plain,
    ( ( ! [SY33: $i,SY34: $i,SY35: $i,SY36: $i] :
          ( ( ! [SY18: $i,SY19: $i] :
                ( ( sK1_R @ SY18 @ SY19 )
               => ( sK1_R @ SY19 @ SY18 ) )
            & ( sK2_SY12 != sK3_SY23 )
            & ( sK2_SY12 != SY33 )
            & ( sK2_SY12 != SY34 )
            & ( sK2_SY12 != SY35 )
            & ( sK2_SY12 != SY36 )
            & ( sK3_SY23 != SY33 )
            & ( sK3_SY23 != SY34 )
            & ( sK3_SY23 != SY35 )
            & ( sK3_SY23 != SY36 )
            & ( SY33 != SY34 )
            & ( SY33 != SY35 )
            & ( SY33 != SY36 )
            & ( SY34 != SY35 )
            & ( SY34 != SY36 )
            & ( SY35 != SY36 ) )
         => ? [SY20: $i,SY21: $i,SY22: $i] :
              ( ( SY20 != SY21 )
              & ( SY20 != SY22 )
              & ( SY21 != SY22 )
              & ( ( ( sK1_R @ SY20 @ SY21 )
                  & ( sK1_R @ SY20 @ SY22 )
                  & ( sK1_R @ SY21 @ SY22 ) )
                | ( ~ ( sK1_R @ SY20 @ SY21 )
                  & ~ ( sK1_R @ SY20 @ SY22 )
                  & ~ ( sK1_R @ SY21 @ SY22 ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[5]) ).

thf(7,plain,
    ( ( ! [SY42: $i,SY43: $i,SY44: $i] :
          ( ( ! [SY18: $i,SY19: $i] :
                ( ( sK1_R @ SY18 @ SY19 )
               => ( sK1_R @ SY19 @ SY18 ) )
            & ( sK2_SY12 != sK3_SY23 )
            & ( sK2_SY12 != sK4_SY33 )
            & ( sK2_SY12 != SY42 )
            & ( sK2_SY12 != SY43 )
            & ( sK2_SY12 != SY44 )
            & ( sK3_SY23 != sK4_SY33 )
            & ( sK3_SY23 != SY42 )
            & ( sK3_SY23 != SY43 )
            & ( sK3_SY23 != SY44 )
            & ( sK4_SY33 != SY42 )
            & ( sK4_SY33 != SY43 )
            & ( sK4_SY33 != SY44 )
            & ( SY42 != SY43 )
            & ( SY42 != SY44 )
            & ( SY43 != SY44 ) )
         => ? [SY20: $i,SY21: $i,SY22: $i] :
              ( ( SY20 != SY21 )
              & ( SY20 != SY22 )
              & ( SY21 != SY22 )
              & ( ( ( sK1_R @ SY20 @ SY21 )
                  & ( sK1_R @ SY20 @ SY22 )
                  & ( sK1_R @ SY21 @ SY22 ) )
                | ( ~ ( sK1_R @ SY20 @ SY21 )
                  & ~ ( sK1_R @ SY20 @ SY22 )
                  & ~ ( sK1_R @ SY21 @ SY22 ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[6]) ).

thf(8,plain,
    ( ( ! [SY50: $i,SY51: $i] :
          ( ( ! [SY18: $i,SY19: $i] :
                ( ( sK1_R @ SY18 @ SY19 )
               => ( sK1_R @ SY19 @ SY18 ) )
            & ( sK2_SY12 != sK3_SY23 )
            & ( sK2_SY12 != sK4_SY33 )
            & ( sK2_SY12 != sK5_SY42 )
            & ( sK2_SY12 != SY50 )
            & ( sK2_SY12 != SY51 )
            & ( sK3_SY23 != sK4_SY33 )
            & ( sK3_SY23 != sK5_SY42 )
            & ( sK3_SY23 != SY50 )
            & ( sK3_SY23 != SY51 )
            & ( sK4_SY33 != sK5_SY42 )
            & ( sK4_SY33 != SY50 )
            & ( sK4_SY33 != SY51 )
            & ( sK5_SY42 != SY50 )
            & ( sK5_SY42 != SY51 )
            & ( SY50 != SY51 ) )
         => ? [SY20: $i,SY21: $i,SY22: $i] :
              ( ( SY20 != SY21 )
              & ( SY20 != SY22 )
              & ( SY21 != SY22 )
              & ( ( ( sK1_R @ SY20 @ SY21 )
                  & ( sK1_R @ SY20 @ SY22 )
                  & ( sK1_R @ SY21 @ SY22 ) )
                | ( ~ ( sK1_R @ SY20 @ SY21 )
                  & ~ ( sK1_R @ SY20 @ SY22 )
                  & ~ ( sK1_R @ SY21 @ SY22 ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[7]) ).

thf(9,plain,
    ( ( ! [SY57: $i] :
          ( ( ! [SY18: $i,SY19: $i] :
                ( ( sK1_R @ SY18 @ SY19 )
               => ( sK1_R @ SY19 @ SY18 ) )
            & ( sK2_SY12 != sK3_SY23 )
            & ( sK2_SY12 != sK4_SY33 )
            & ( sK2_SY12 != sK5_SY42 )
            & ( sK2_SY12 != sK6_SY50 )
            & ( sK2_SY12 != SY57 )
            & ( sK3_SY23 != sK4_SY33 )
            & ( sK3_SY23 != sK5_SY42 )
            & ( sK3_SY23 != sK6_SY50 )
            & ( sK3_SY23 != SY57 )
            & ( sK4_SY33 != sK5_SY42 )
            & ( sK4_SY33 != sK6_SY50 )
            & ( sK4_SY33 != SY57 )
            & ( sK5_SY42 != sK6_SY50 )
            & ( sK5_SY42 != SY57 )
            & ( sK6_SY50 != SY57 ) )
         => ? [SY20: $i,SY21: $i,SY22: $i] :
              ( ( SY20 != SY21 )
              & ( SY20 != SY22 )
              & ( SY21 != SY22 )
              & ( ( ( sK1_R @ SY20 @ SY21 )
                  & ( sK1_R @ SY20 @ SY22 )
                  & ( sK1_R @ SY21 @ SY22 ) )
                | ( ~ ( sK1_R @ SY20 @ SY21 )
                  & ~ ( sK1_R @ SY20 @ SY22 )
                  & ~ ( sK1_R @ SY21 @ SY22 ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[8]) ).

thf(10,plain,
    ( ( ( ! [SY18: $i,SY19: $i] :
            ( ( sK1_R @ SY18 @ SY19 )
           => ( sK1_R @ SY19 @ SY18 ) )
        & ( sK2_SY12 != sK3_SY23 )
        & ( sK2_SY12 != sK4_SY33 )
        & ( sK2_SY12 != sK5_SY42 )
        & ( sK2_SY12 != sK6_SY50 )
        & ( sK2_SY12 != sK7_SY57 )
        & ( sK3_SY23 != sK4_SY33 )
        & ( sK3_SY23 != sK5_SY42 )
        & ( sK3_SY23 != sK6_SY50 )
        & ( sK3_SY23 != sK7_SY57 )
        & ( sK4_SY33 != sK5_SY42 )
        & ( sK4_SY33 != sK6_SY50 )
        & ( sK4_SY33 != sK7_SY57 )
        & ( sK5_SY42 != sK6_SY50 )
        & ( sK5_SY42 != sK7_SY57 )
        & ( sK6_SY50 != sK7_SY57 ) )
     => ? [SY20: $i,SY21: $i,SY22: $i] :
          ( ( SY20 != SY21 )
          & ( SY20 != SY22 )
          & ( SY21 != SY22 )
          & ( ( ( sK1_R @ SY20 @ SY21 )
              & ( sK1_R @ SY20 @ SY22 )
              & ( sK1_R @ SY21 @ SY22 ) )
            | ( ~ ( sK1_R @ SY20 @ SY21 )
              & ~ ( sK1_R @ SY20 @ SY22 )
              & ~ ( sK1_R @ SY21 @ SY22 ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[9]) ).

thf(11,plain,
    ( ( ! [SY18: $i,SY19: $i] :
          ( ( sK1_R @ SY18 @ SY19 )
         => ( sK1_R @ SY19 @ SY18 ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[10]) ).

thf(12,plain,
    ( ( sK2_SY12 != sK3_SY23 )
    = $true ),
    inference(standard_cnf,[status(thm)],[10]) ).

thf(13,plain,
    ( ( sK2_SY12 != sK4_SY33 )
    = $true ),
    inference(standard_cnf,[status(thm)],[10]) ).

thf(14,plain,
    ( ( sK2_SY12 != sK5_SY42 )
    = $true ),
    inference(standard_cnf,[status(thm)],[10]) ).

thf(15,plain,
    ( ( sK2_SY12 != sK6_SY50 )
    = $true ),
    inference(standard_cnf,[status(thm)],[10]) ).

thf(16,plain,
    ( ( sK2_SY12 != sK7_SY57 )
    = $true ),
    inference(standard_cnf,[status(thm)],[10]) ).

thf(17,plain,
    ( ( sK3_SY23 != sK4_SY33 )
    = $true ),
    inference(standard_cnf,[status(thm)],[10]) ).

thf(18,plain,
    ( ( sK3_SY23 != sK5_SY42 )
    = $true ),
    inference(standard_cnf,[status(thm)],[10]) ).

thf(19,plain,
    ( ( sK3_SY23 != sK6_SY50 )
    = $true ),
    inference(standard_cnf,[status(thm)],[10]) ).

thf(20,plain,
    ( ( sK3_SY23 != sK7_SY57 )
    = $true ),
    inference(standard_cnf,[status(thm)],[10]) ).

thf(21,plain,
    ( ( sK4_SY33 != sK5_SY42 )
    = $true ),
    inference(standard_cnf,[status(thm)],[10]) ).

thf(22,plain,
    ( ( sK4_SY33 != sK6_SY50 )
    = $true ),
    inference(standard_cnf,[status(thm)],[10]) ).

thf(23,plain,
    ( ( sK4_SY33 != sK7_SY57 )
    = $true ),
    inference(standard_cnf,[status(thm)],[10]) ).

thf(24,plain,
    ( ( sK5_SY42 != sK6_SY50 )
    = $true ),
    inference(standard_cnf,[status(thm)],[10]) ).

thf(25,plain,
    ( ( sK5_SY42 != sK7_SY57 )
    = $true ),
    inference(standard_cnf,[status(thm)],[10]) ).

thf(26,plain,
    ( ( sK6_SY50 != sK7_SY57 )
    = $true ),
    inference(standard_cnf,[status(thm)],[10]) ).

thf(27,plain,
    ( ( ? [SY20: $i,SY21: $i,SY22: $i] :
          ( ( SY20 != SY21 )
          & ( SY20 != SY22 )
          & ( SY21 != SY22 )
          & ( ( ( sK1_R @ SY20 @ SY21 )
              & ( sK1_R @ SY20 @ SY22 )
              & ( sK1_R @ SY21 @ SY22 ) )
            | ( ~ ( sK1_R @ SY20 @ SY21 )
              & ~ ( sK1_R @ SY20 @ SY22 )
              & ~ ( sK1_R @ SY21 @ SY22 ) ) ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[10]) ).

thf(28,plain,
    ( ( ~ ? [SY20: $i,SY21: $i,SY22: $i] :
            ( ( SY20 != SY21 )
            & ( SY20 != SY22 )
            & ( SY21 != SY22 )
            & ( ( ( sK1_R @ SY20 @ SY21 )
                & ( sK1_R @ SY20 @ SY22 )
                & ( sK1_R @ SY21 @ SY22 ) )
              | ( ~ ( sK1_R @ SY20 @ SY21 )
                & ~ ( sK1_R @ SY20 @ SY22 )
                & ~ ( sK1_R @ SY21 @ SY22 ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[27]) ).

thf(29,plain,
    ( ( ! [SY20: $i] :
          ( ! [SY21: $i,SY22: $i] :
              ( ( SY21 = SY22 )
              | ( SY20 = SY21 )
              | ( SY20 = SY22 )
              | ~ ( sK1_R @ SY20 @ SY21 )
              | ~ ( sK1_R @ SY20 @ SY22 )
              | ~ ( sK1_R @ SY21 @ SY22 ) )
          & ! [SY21: $i,SY22: $i] :
              ( ( SY21 = SY22 )
              | ( SY20 = SY21 )
              | ( SY20 = SY22 )
              | ( sK1_R @ SY20 @ SY21 )
              | ( sK1_R @ SY20 @ SY22 )
              | ( sK1_R @ SY21 @ SY22 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[28]) ).

thf(30,plain,
    ( ( ! [SY18: $i,SY19: $i] :
          ( ~ ( sK1_R @ SY18 @ SY19 )
          | ( sK1_R @ SY19 @ SY18 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[11]) ).

thf(31,plain,
    ( ( sK2_SY12 != sK3_SY23 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[12]) ).

thf(32,plain,
    ( ( sK2_SY12 != sK4_SY33 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[13]) ).

thf(33,plain,
    ( ( sK2_SY12 != sK5_SY42 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[14]) ).

thf(34,plain,
    ( ( sK2_SY12 != sK6_SY50 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[15]) ).

thf(35,plain,
    ( ( sK2_SY12 != sK7_SY57 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[16]) ).

thf(36,plain,
    ( ( sK3_SY23 != sK4_SY33 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[17]) ).

thf(37,plain,
    ( ( sK3_SY23 != sK5_SY42 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[18]) ).

thf(38,plain,
    ( ( sK3_SY23 != sK6_SY50 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[19]) ).

thf(39,plain,
    ( ( sK3_SY23 != sK7_SY57 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[20]) ).

thf(40,plain,
    ( ( sK4_SY33 != sK5_SY42 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[21]) ).

thf(41,plain,
    ( ( sK4_SY33 != sK6_SY50 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[22]) ).

thf(42,plain,
    ( ( sK4_SY33 != sK7_SY57 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[23]) ).

thf(43,plain,
    ( ( sK5_SY42 != sK6_SY50 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[24]) ).

thf(44,plain,
    ( ( sK5_SY42 != sK7_SY57 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[25]) ).

thf(45,plain,
    ( ( sK6_SY50 != sK7_SY57 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[26]) ).

thf(46,plain,
    ( ( sK6_SY50 != sK7_SY57 )
    = $true ),
    inference(copy,[status(thm)],[45]) ).

thf(47,plain,
    ( ( sK5_SY42 != sK7_SY57 )
    = $true ),
    inference(copy,[status(thm)],[44]) ).

thf(48,plain,
    ( ( sK5_SY42 != sK6_SY50 )
    = $true ),
    inference(copy,[status(thm)],[43]) ).

thf(49,plain,
    ( ( sK4_SY33 != sK7_SY57 )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(50,plain,
    ( ( sK4_SY33 != sK6_SY50 )
    = $true ),
    inference(copy,[status(thm)],[41]) ).

thf(51,plain,
    ( ( sK4_SY33 != sK5_SY42 )
    = $true ),
    inference(copy,[status(thm)],[40]) ).

thf(52,plain,
    ( ( sK3_SY23 != sK7_SY57 )
    = $true ),
    inference(copy,[status(thm)],[39]) ).

thf(53,plain,
    ( ( sK3_SY23 != sK6_SY50 )
    = $true ),
    inference(copy,[status(thm)],[38]) ).

thf(54,plain,
    ( ( sK3_SY23 != sK5_SY42 )
    = $true ),
    inference(copy,[status(thm)],[37]) ).

thf(55,plain,
    ( ( sK3_SY23 != sK4_SY33 )
    = $true ),
    inference(copy,[status(thm)],[36]) ).

thf(56,plain,
    ( ( sK2_SY12 != sK7_SY57 )
    = $true ),
    inference(copy,[status(thm)],[35]) ).

thf(57,plain,
    ( ( sK2_SY12 != sK6_SY50 )
    = $true ),
    inference(copy,[status(thm)],[34]) ).

thf(58,plain,
    ( ( sK2_SY12 != sK5_SY42 )
    = $true ),
    inference(copy,[status(thm)],[33]) ).

thf(59,plain,
    ( ( sK2_SY12 != sK4_SY33 )
    = $true ),
    inference(copy,[status(thm)],[32]) ).

thf(60,plain,
    ( ( sK2_SY12 != sK3_SY23 )
    = $true ),
    inference(copy,[status(thm)],[31]) ).

thf(61,plain,
    ( ( ! [SY18: $i,SY19: $i] :
          ( ~ ( sK1_R @ SY18 @ SY19 )
          | ( sK1_R @ SY19 @ SY18 ) ) )
    = $true ),
    inference(copy,[status(thm)],[30]) ).

thf(62,plain,
    ( ( ! [SY20: $i] :
          ( ! [SY21: $i,SY22: $i] :
              ( ( SY21 = SY22 )
              | ( SY20 = SY21 )
              | ( SY20 = SY22 )
              | ~ ( sK1_R @ SY20 @ SY21 )
              | ~ ( sK1_R @ SY20 @ SY22 )
              | ~ ( sK1_R @ SY21 @ SY22 ) )
          & ! [SY21: $i,SY22: $i] :
              ( ( SY21 = SY22 )
              | ( SY20 = SY21 )
              | ( SY20 = SY22 )
              | ( sK1_R @ SY20 @ SY21 )
              | ( sK1_R @ SY20 @ SY22 )
              | ( sK1_R @ SY21 @ SY22 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[29]) ).

thf(63,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ( SX1 = SX2 )
                  | ( SX0 = SX1 )
                  | ( SX0 = SX2 )
                  | ~ ( sK1_R @ SX0 @ SX1 )
                  | ~ ( sK1_R @ SX0 @ SX2 )
                  | ~ ( sK1_R @ SX1 @ SX2 ) )
            | ~ ! [SX1: $i,SX2: $i] :
                  ( ( SX1 = SX2 )
                  | ( SX0 = SX1 )
                  | ( SX0 = SX2 )
                  | ( sK1_R @ SX0 @ SX1 )
                  | ( sK1_R @ SX0 @ SX2 )
                  | ( sK1_R @ SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(64,plain,
    ( ( sK6_SY50 = sK7_SY57 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[46]) ).

thf(65,plain,
    ( ( sK5_SY42 = sK7_SY57 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[47]) ).

thf(66,plain,
    ( ( sK5_SY42 = sK6_SY50 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[48]) ).

thf(67,plain,
    ( ( sK4_SY33 = sK7_SY57 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[49]) ).

thf(68,plain,
    ( ( sK4_SY33 = sK6_SY50 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[50]) ).

thf(69,plain,
    ( ( sK4_SY33 = sK5_SY42 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[51]) ).

thf(70,plain,
    ( ( sK3_SY23 = sK7_SY57 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[52]) ).

thf(71,plain,
    ( ( sK3_SY23 = sK6_SY50 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[53]) ).

thf(72,plain,
    ( ( sK3_SY23 = sK5_SY42 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[54]) ).

thf(73,plain,
    ( ( sK3_SY23 = sK4_SY33 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[55]) ).

thf(74,plain,
    ( ( sK2_SY12 = sK7_SY57 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[56]) ).

thf(75,plain,
    ( ( sK2_SY12 = sK6_SY50 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[57]) ).

thf(76,plain,
    ( ( sK2_SY12 = sK5_SY42 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[58]) ).

thf(77,plain,
    ( ( sK2_SY12 = sK4_SY33 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[59]) ).

thf(78,plain,
    ( ( sK2_SY12 = sK3_SY23 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[60]) ).

thf(79,plain,
    ! [SV1: $i] :
      ( ( ! [SY68: $i] :
            ( ~ ( sK1_R @ SV1 @ SY68 )
            | ( sK1_R @ SY68 @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[61]) ).

thf(80,plain,
    ! [SV2: $i] :
      ( ( ~ ( ~ ! [SY69: $i,SY70: $i] :
                  ( ( SY69 = SY70 )
                  | ( SV2 = SY69 )
                  | ( SV2 = SY70 )
                  | ~ ( sK1_R @ SV2 @ SY69 )
                  | ~ ( sK1_R @ SV2 @ SY70 )
                  | ~ ( sK1_R @ SY69 @ SY70 ) )
            | ~ ! [SY71: $i,SY72: $i] :
                  ( ( SY71 = SY72 )
                  | ( SV2 = SY71 )
                  | ( SV2 = SY72 )
                  | ( sK1_R @ SV2 @ SY71 )
                  | ( sK1_R @ SV2 @ SY72 )
                  | ( sK1_R @ SY71 @ SY72 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[63]) ).

thf(81,plain,
    ! [SV3: $i,SV1: $i] :
      ( ( ~ ( sK1_R @ SV1 @ SV3 )
        | ( sK1_R @ SV3 @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[79]) ).

thf(82,plain,
    ! [SV2: $i] :
      ( ( ~ ! [SY69: $i,SY70: $i] :
              ( ( SY69 = SY70 )
              | ( SV2 = SY69 )
              | ( SV2 = SY70 )
              | ~ ( sK1_R @ SV2 @ SY69 )
              | ~ ( sK1_R @ SV2 @ SY70 )
              | ~ ( sK1_R @ SY69 @ SY70 ) )
        | ~ ! [SY71: $i,SY72: $i] :
              ( ( SY71 = SY72 )
              | ( SV2 = SY71 )
              | ( SV2 = SY72 )
              | ( sK1_R @ SV2 @ SY71 )
              | ( sK1_R @ SV2 @ SY72 )
              | ( sK1_R @ SY71 @ SY72 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[80]) ).

thf(83,plain,
    ! [SV3: $i,SV1: $i] :
      ( ( ( ~ ( sK1_R @ SV1 @ SV3 ) )
        = $true )
      | ( ( sK1_R @ SV3 @ SV1 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[81]) ).

thf(84,plain,
    ! [SV2: $i] :
      ( ( ~ ! [SY69: $i,SY70: $i] :
              ( ( SY69 = SY70 )
              | ( SV2 = SY69 )
              | ( SV2 = SY70 )
              | ~ ( sK1_R @ SV2 @ SY69 )
              | ~ ( sK1_R @ SV2 @ SY70 )
              | ~ ( sK1_R @ SY69 @ SY70 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[82]) ).

thf(85,plain,
    ! [SV2: $i] :
      ( ( ~ ! [SY71: $i,SY72: $i] :
              ( ( SY71 = SY72 )
              | ( SV2 = SY71 )
              | ( SV2 = SY72 )
              | ( sK1_R @ SV2 @ SY71 )
              | ( sK1_R @ SV2 @ SY72 )
              | ( sK1_R @ SY71 @ SY72 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[82]) ).

thf(86,plain,
    ! [SV3: $i,SV1: $i] :
      ( ( ( sK1_R @ SV1 @ SV3 )
        = $false )
      | ( ( sK1_R @ SV3 @ SV1 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[83]) ).

thf(87,plain,
    ! [SV2: $i] :
      ( ( ! [SY69: $i,SY70: $i] :
            ( ( SY69 = SY70 )
            | ( SV2 = SY69 )
            | ( SV2 = SY70 )
            | ~ ( sK1_R @ SV2 @ SY69 )
            | ~ ( sK1_R @ SV2 @ SY70 )
            | ~ ( sK1_R @ SY69 @ SY70 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[84]) ).

thf(88,plain,
    ! [SV2: $i] :
      ( ( ! [SY71: $i,SY72: $i] :
            ( ( SY71 = SY72 )
            | ( SV2 = SY71 )
            | ( SV2 = SY72 )
            | ( sK1_R @ SV2 @ SY71 )
            | ( sK1_R @ SV2 @ SY72 )
            | ( sK1_R @ SY71 @ SY72 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[85]) ).

thf(89,plain,
    ! [SV2: $i,SV4: $i] :
      ( ( ! [SY73: $i] :
            ( ( SV4 = SY73 )
            | ( SV2 = SV4 )
            | ( SV2 = SY73 )
            | ~ ( sK1_R @ SV2 @ SV4 )
            | ~ ( sK1_R @ SV2 @ SY73 )
            | ~ ( sK1_R @ SV4 @ SY73 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[87]) ).

thf(90,plain,
    ! [SV2: $i,SV5: $i] :
      ( ( ! [SY74: $i] :
            ( ( SV5 = SY74 )
            | ( SV2 = SV5 )
            | ( SV2 = SY74 )
            | ( sK1_R @ SV2 @ SV5 )
            | ( sK1_R @ SV2 @ SY74 )
            | ( sK1_R @ SV5 @ SY74 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[88]) ).

thf(91,plain,
    ! [SV2: $i,SV6: $i,SV4: $i] :
      ( ( ( SV4 = SV6 )
        | ( SV2 = SV4 )
        | ( SV2 = SV6 )
        | ~ ( sK1_R @ SV2 @ SV4 )
        | ~ ( sK1_R @ SV2 @ SV6 )
        | ~ ( sK1_R @ SV4 @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[89]) ).

thf(92,plain,
    ! [SV2: $i,SV7: $i,SV5: $i] :
      ( ( ( SV5 = SV7 )
        | ( SV2 = SV5 )
        | ( SV2 = SV7 )
        | ( sK1_R @ SV2 @ SV5 )
        | ( sK1_R @ SV2 @ SV7 )
        | ( sK1_R @ SV5 @ SV7 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[90]) ).

thf(93,plain,
    ! [SV2: $i,SV6: $i,SV4: $i] :
      ( ( ( ( SV4 = SV6 )
          | ( SV2 = SV4 )
          | ( SV2 = SV6 ) )
        = $true )
      | ( ( ~ ( sK1_R @ SV2 @ SV4 )
          | ~ ( sK1_R @ SV2 @ SV6 )
          | ~ ( sK1_R @ SV4 @ SV6 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[91]) ).

thf(94,plain,
    ! [SV2: $i,SV7: $i,SV5: $i] :
      ( ( ( ( SV5 = SV7 )
          | ( SV2 = SV5 )
          | ( SV2 = SV7 ) )
        = $true )
      | ( ( ( sK1_R @ SV2 @ SV5 )
          | ( sK1_R @ SV2 @ SV7 )
          | ( sK1_R @ SV5 @ SV7 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[92]) ).

thf(95,plain,
    ! [SV2: $i,SV6: $i,SV4: $i] :
      ( ( ( SV4 = SV6 )
        = $true )
      | ( ( ( SV2 = SV4 )
          | ( SV2 = SV6 ) )
        = $true )
      | ( ( ~ ( sK1_R @ SV2 @ SV4 )
          | ~ ( sK1_R @ SV2 @ SV6 )
          | ~ ( sK1_R @ SV4 @ SV6 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[93]) ).

thf(96,plain,
    ! [SV2: $i,SV7: $i,SV5: $i] :
      ( ( ( SV5 = SV7 )
        = $true )
      | ( ( ( SV2 = SV5 )
          | ( SV2 = SV7 ) )
        = $true )
      | ( ( ( sK1_R @ SV2 @ SV5 )
          | ( sK1_R @ SV2 @ SV7 )
          | ( sK1_R @ SV5 @ SV7 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[94]) ).

thf(97,plain,
    ! [SV6: $i,SV4: $i,SV2: $i] :
      ( ( ( SV2 = SV4 )
        = $true )
      | ( ( SV2 = SV6 )
        = $true )
      | ( ( SV4 = SV6 )
        = $true )
      | ( ( ~ ( sK1_R @ SV2 @ SV4 )
          | ~ ( sK1_R @ SV2 @ SV6 )
          | ~ ( sK1_R @ SV4 @ SV6 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[95]) ).

thf(98,plain,
    ! [SV7: $i,SV5: $i,SV2: $i] :
      ( ( ( SV2 = SV5 )
        = $true )
      | ( ( SV2 = SV7 )
        = $true )
      | ( ( SV5 = SV7 )
        = $true )
      | ( ( ( sK1_R @ SV2 @ SV5 )
          | ( sK1_R @ SV2 @ SV7 )
          | ( sK1_R @ SV5 @ SV7 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[96]) ).

thf(99,plain,
    ! [SV6: $i,SV4: $i,SV2: $i] :
      ( ( ( ~ ( sK1_R @ SV2 @ SV4 )
          | ~ ( sK1_R @ SV2 @ SV6 ) )
        = $true )
      | ( ( ~ ( sK1_R @ SV4 @ SV6 ) )
        = $true )
      | ( ( SV4 = SV6 )
        = $true )
      | ( ( SV2 = SV6 )
        = $true )
      | ( ( SV2 = SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[97]) ).

thf(100,plain,
    ! [SV7: $i,SV5: $i,SV2: $i] :
      ( ( ( ( sK1_R @ SV2 @ SV5 )
          | ( sK1_R @ SV2 @ SV7 ) )
        = $true )
      | ( ( sK1_R @ SV5 @ SV7 )
        = $true )
      | ( ( SV5 = SV7 )
        = $true )
      | ( ( SV2 = SV7 )
        = $true )
      | ( ( SV2 = SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[98]) ).

thf(101,plain,
    ! [SV6: $i,SV4: $i,SV2: $i] :
      ( ( ( ~ ( sK1_R @ SV2 @ SV4 ) )
        = $true )
      | ( ( ~ ( sK1_R @ SV2 @ SV6 ) )
        = $true )
      | ( ( ~ ( sK1_R @ SV4 @ SV6 ) )
        = $true )
      | ( ( SV4 = SV6 )
        = $true )
      | ( ( SV2 = SV6 )
        = $true )
      | ( ( SV2 = SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[99]) ).

thf(102,plain,
    ! [SV7: $i,SV5: $i,SV2: $i] :
      ( ( ( sK1_R @ SV2 @ SV5 )
        = $true )
      | ( ( sK1_R @ SV2 @ SV7 )
        = $true )
      | ( ( sK1_R @ SV5 @ SV7 )
        = $true )
      | ( ( SV5 = SV7 )
        = $true )
      | ( ( SV2 = SV7 )
        = $true )
      | ( ( SV2 = SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[100]) ).

thf(103,plain,
    ! [SV6: $i,SV4: $i,SV2: $i] :
      ( ( ( sK1_R @ SV2 @ SV4 )
        = $false )
      | ( ( ~ ( sK1_R @ SV2 @ SV6 ) )
        = $true )
      | ( ( ~ ( sK1_R @ SV4 @ SV6 ) )
        = $true )
      | ( ( SV4 = SV6 )
        = $true )
      | ( ( SV2 = SV6 )
        = $true )
      | ( ( SV2 = SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[101]) ).

thf(104,plain,
    ! [SV4: $i,SV6: $i,SV2: $i] :
      ( ( ( sK1_R @ SV2 @ SV6 )
        = $false )
      | ( ( sK1_R @ SV2 @ SV4 )
        = $false )
      | ( ( ~ ( sK1_R @ SV4 @ SV6 ) )
        = $true )
      | ( ( SV4 = SV6 )
        = $true )
      | ( ( SV2 = SV6 )
        = $true )
      | ( ( SV2 = SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[103]) ).

thf(105,plain,
    ! [SV2: $i,SV6: $i,SV4: $i] :
      ( ( ( sK1_R @ SV4 @ SV6 )
        = $false )
      | ( ( sK1_R @ SV2 @ SV4 )
        = $false )
      | ( ( sK1_R @ SV2 @ SV6 )
        = $false )
      | ( ( SV4 = SV6 )
        = $true )
      | ( ( SV2 = SV6 )
        = $true )
      | ( ( SV2 = SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[104]) ).

thf(106,plain,
    ! [SV8: $i,SV9: $i] :
      ( ( ( sK1_R @ SV9 @ SV8 )
        = $false )
      | ( ( sK1_R @ SV8 @ SV9 )
        = $true ) ),
    inference(rename,[status(thm)],[86]) ).

thf(126,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(rename,[status(thm)],[102]) ).

thf(130,plain,
    ! [SV10: $i,SV11: $i,SV12: $i,SV8: $i,SV9: $i] :
      ( ( ( ( sK1_R @ SV11 @ SV10 )
          = ( sK1_R @ SV9 @ SV8 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true )
      | ( ( sK1_R @ SV8 @ SV9 )
        = $true ) ),
    inference(res,[status(thm)],[126,106]) ).

thf(131,plain,
    ! [SV10: $i,SV11: $i,SV12: $i,SV8: $i,SV9: $i] :
      ( ( ( ( sK1_R @ SV12 @ SV10 )
          = ( sK1_R @ SV9 @ SV8 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true )
      | ( ( sK1_R @ SV8 @ SV9 )
        = $true ) ),
    inference(res,[status(thm)],[126,106]) ).

thf(132,plain,
    ! [SV10: $i,SV11: $i,SV12: $i,SV8: $i,SV9: $i] :
      ( ( ( ( sK1_R @ SV12 @ SV11 )
          = ( sK1_R @ SV9 @ SV8 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true )
      | ( ( sK1_R @ SV8 @ SV9 )
        = $true ) ),
    inference(res,[status(thm)],[126,106]) ).

thf(133,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV11 )
          = ( sK2_SY12 = sK3_SY23 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true ) ),
    inference(res,[status(thm)],[126,78]) ).

thf(134,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV10 )
          = ( sK2_SY12 = sK3_SY23 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,78]) ).

thf(135,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV11 = SV10 )
          = ( sK2_SY12 = sK3_SY23 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,78]) ).

thf(139,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV11 )
          = ( sK2_SY12 = sK4_SY33 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true ) ),
    inference(res,[status(thm)],[126,77]) ).

thf(140,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV10 )
          = ( sK2_SY12 = sK4_SY33 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,77]) ).

thf(141,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV11 = SV10 )
          = ( sK2_SY12 = sK4_SY33 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,77]) ).

thf(145,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV11 )
          = ( sK2_SY12 = sK5_SY42 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true ) ),
    inference(res,[status(thm)],[126,76]) ).

thf(146,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV10 )
          = ( sK2_SY12 = sK5_SY42 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,76]) ).

thf(147,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV11 = SV10 )
          = ( sK2_SY12 = sK5_SY42 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,76]) ).

thf(151,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV11 )
          = ( sK2_SY12 = sK6_SY50 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true ) ),
    inference(res,[status(thm)],[126,75]) ).

thf(152,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV10 )
          = ( sK2_SY12 = sK6_SY50 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,75]) ).

thf(153,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV11 = SV10 )
          = ( sK2_SY12 = sK6_SY50 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,75]) ).

thf(157,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV11 )
          = ( sK2_SY12 = sK7_SY57 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true ) ),
    inference(res,[status(thm)],[126,74]) ).

thf(158,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV10 )
          = ( sK2_SY12 = sK7_SY57 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,74]) ).

thf(159,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV11 = SV10 )
          = ( sK2_SY12 = sK7_SY57 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,74]) ).

thf(163,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV11 )
          = ( sK3_SY23 = sK4_SY33 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true ) ),
    inference(res,[status(thm)],[126,73]) ).

thf(164,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV10 )
          = ( sK3_SY23 = sK4_SY33 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,73]) ).

thf(165,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV11 = SV10 )
          = ( sK3_SY23 = sK4_SY33 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,73]) ).

thf(169,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV11 )
          = ( sK3_SY23 = sK5_SY42 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true ) ),
    inference(res,[status(thm)],[126,72]) ).

thf(170,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV10 )
          = ( sK3_SY23 = sK5_SY42 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,72]) ).

thf(171,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV11 = SV10 )
          = ( sK3_SY23 = sK5_SY42 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,72]) ).

thf(175,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV11 )
          = ( sK3_SY23 = sK6_SY50 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true ) ),
    inference(res,[status(thm)],[126,71]) ).

thf(176,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV10 )
          = ( sK3_SY23 = sK6_SY50 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,71]) ).

thf(177,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV11 = SV10 )
          = ( sK3_SY23 = sK6_SY50 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,71]) ).

thf(181,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV11 )
          = ( sK3_SY23 = sK7_SY57 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true ) ),
    inference(res,[status(thm)],[126,70]) ).

thf(182,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV10 )
          = ( sK3_SY23 = sK7_SY57 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,70]) ).

thf(183,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV11 = SV10 )
          = ( sK3_SY23 = sK7_SY57 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,70]) ).

thf(187,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV11 )
          = ( sK4_SY33 = sK5_SY42 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true ) ),
    inference(res,[status(thm)],[126,69]) ).

thf(188,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV10 )
          = ( sK4_SY33 = sK5_SY42 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,69]) ).

thf(189,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV11 = SV10 )
          = ( sK4_SY33 = sK5_SY42 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,69]) ).

thf(193,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV11 )
          = ( sK4_SY33 = sK6_SY50 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true ) ),
    inference(res,[status(thm)],[126,68]) ).

thf(194,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV10 )
          = ( sK4_SY33 = sK6_SY50 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,68]) ).

thf(195,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV11 = SV10 )
          = ( sK4_SY33 = sK6_SY50 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,68]) ).

thf(199,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV11 )
          = ( sK4_SY33 = sK7_SY57 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true ) ),
    inference(res,[status(thm)],[126,67]) ).

thf(200,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV10 )
          = ( sK4_SY33 = sK7_SY57 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,67]) ).

thf(201,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV11 = SV10 )
          = ( sK4_SY33 = sK7_SY57 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,67]) ).

thf(205,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV11 )
          = ( sK5_SY42 = sK6_SY50 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true ) ),
    inference(res,[status(thm)],[126,66]) ).

thf(206,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV10 )
          = ( sK5_SY42 = sK6_SY50 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,66]) ).

thf(207,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV11 = SV10 )
          = ( sK5_SY42 = sK6_SY50 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,66]) ).

thf(211,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV11 )
          = ( sK5_SY42 = sK7_SY57 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true ) ),
    inference(res,[status(thm)],[126,65]) ).

thf(212,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV10 )
          = ( sK5_SY42 = sK7_SY57 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,65]) ).

thf(213,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV11 = SV10 )
          = ( sK5_SY42 = sK7_SY57 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,65]) ).

thf(217,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV11 )
          = ( sK6_SY50 = sK7_SY57 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true ) ),
    inference(res,[status(thm)],[126,64]) ).

thf(218,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV12 = SV10 )
          = ( sK6_SY50 = sK7_SY57 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV11 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,64]) ).

thf(219,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( SV11 = SV10 )
          = ( sK6_SY50 = sK7_SY57 ) )
        = $false )
      | ( ( sK1_R @ SV12 @ SV11 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV10 )
        = $true )
      | ( ( SV12 = SV10 )
        = $true )
      | ( ( SV12 = SV11 )
        = $true ) ),
    inference(res,[status(thm)],[126,64]) ).

thf(223,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK7_SY57 )
        = $true )
      | ( ( SV12 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK7_SY57 )
        = $true ) ),
    inference(extuni,[status(esa)],[219:[bind(SV11,$thf( sK7_SY57 )),bind(SV10,$thf( sK6_SY50 ))]]) ).

thf(224,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK6_SY50 )
        = $true )
      | ( ( SV12 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK6_SY50 )
        = $true ) ),
    inference(extuni,[status(esa)],[219:[bind(SV10,$thf( sK7_SY57 )),bind(SV11,$thf( sK6_SY50 ))]]) ).

thf(225,plain,
    ! [SV11: $i] :
      ( ( ( sK7_SY57 = SV11 )
        = $true )
      | ( ( SV11 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[218:[bind(SV12,$thf( sK7_SY57 )),bind(SV10,$thf( sK6_SY50 ))]]) ).

thf(226,plain,
    ! [SV11: $i] :
      ( ( ( sK6_SY50 = SV11 )
        = $true )
      | ( ( SV11 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[218:[bind(SV10,$thf( sK7_SY57 )),bind(SV12,$thf( sK6_SY50 ))]]) ).

thf(227,plain,
    ! [SV10: $i] :
      ( ( ( sK7_SY57 = SV10 )
        = $true )
      | ( ( sK6_SY50 = SV10 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true ) ),
    inference(extuni,[status(esa)],[217:[bind(SV12,$thf( sK7_SY57 )),bind(SV11,$thf( sK6_SY50 ))]]) ).

thf(228,plain,
    ! [SV10: $i] :
      ( ( ( sK6_SY50 = SV10 )
        = $true )
      | ( ( sK7_SY57 = SV10 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ sK7_SY57 )
        = $true ) ),
    inference(extuni,[status(esa)],[217:[bind(SV11,$thf( sK7_SY57 )),bind(SV12,$thf( sK6_SY50 ))]]) ).

thf(229,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK7_SY57 )
        = $true )
      | ( ( SV12 = sK5_SY42 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK7_SY57 )
        = $true ) ),
    inference(extuni,[status(esa)],[213:[bind(SV11,$thf( sK7_SY57 )),bind(SV10,$thf( sK5_SY42 ))]]) ).

thf(230,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK5_SY42 )
        = $true )
      | ( ( SV12 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK5_SY42 )
        = $true ) ),
    inference(extuni,[status(esa)],[213:[bind(SV10,$thf( sK7_SY57 )),bind(SV11,$thf( sK5_SY42 ))]]) ).

thf(231,plain,
    ! [SV11: $i] :
      ( ( ( sK7_SY57 = SV11 )
        = $true )
      | ( ( SV11 = sK5_SY42 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[212:[bind(SV12,$thf( sK7_SY57 )),bind(SV10,$thf( sK5_SY42 ))]]) ).

thf(232,plain,
    ! [SV11: $i] :
      ( ( ( sK5_SY42 = SV11 )
        = $true )
      | ( ( SV11 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[212:[bind(SV10,$thf( sK7_SY57 )),bind(SV12,$thf( sK5_SY42 ))]]) ).

thf(233,plain,
    ! [SV10: $i] :
      ( ( ( sK7_SY57 = SV10 )
        = $true )
      | ( ( sK5_SY42 = SV10 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK5_SY42 )
        = $true ) ),
    inference(extuni,[status(esa)],[211:[bind(SV12,$thf( sK7_SY57 )),bind(SV11,$thf( sK5_SY42 ))]]) ).

thf(234,plain,
    ! [SV10: $i] :
      ( ( ( sK5_SY42 = SV10 )
        = $true )
      | ( ( sK7_SY57 = SV10 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
        = $true ) ),
    inference(extuni,[status(esa)],[211:[bind(SV11,$thf( sK7_SY57 )),bind(SV12,$thf( sK5_SY42 ))]]) ).

thf(235,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK6_SY50 )
        = $true )
      | ( ( SV12 = sK5_SY42 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK6_SY50 )
        = $true ) ),
    inference(extuni,[status(esa)],[207:[bind(SV11,$thf( sK6_SY50 )),bind(SV10,$thf( sK5_SY42 ))]]) ).

thf(236,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK5_SY42 )
        = $true )
      | ( ( SV12 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK5_SY42 )
        = $true ) ),
    inference(extuni,[status(esa)],[207:[bind(SV10,$thf( sK6_SY50 )),bind(SV11,$thf( sK5_SY42 ))]]) ).

thf(237,plain,
    ! [SV11: $i] :
      ( ( ( sK6_SY50 = SV11 )
        = $true )
      | ( ( SV11 = sK5_SY42 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[206:[bind(SV12,$thf( sK6_SY50 )),bind(SV10,$thf( sK5_SY42 ))]]) ).

thf(238,plain,
    ! [SV11: $i] :
      ( ( ( sK5_SY42 = SV11 )
        = $true )
      | ( ( SV11 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[206:[bind(SV10,$thf( sK6_SY50 )),bind(SV12,$thf( sK5_SY42 ))]]) ).

thf(239,plain,
    ! [SV10: $i] :
      ( ( ( sK6_SY50 = SV10 )
        = $true )
      | ( ( sK5_SY42 = SV10 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ sK5_SY42 )
        = $true ) ),
    inference(extuni,[status(esa)],[205:[bind(SV12,$thf( sK6_SY50 )),bind(SV11,$thf( sK5_SY42 ))]]) ).

thf(240,plain,
    ! [SV10: $i] :
      ( ( ( sK5_SY42 = SV10 )
        = $true )
      | ( ( sK6_SY50 = SV10 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
        = $true ) ),
    inference(extuni,[status(esa)],[205:[bind(SV11,$thf( sK6_SY50 )),bind(SV12,$thf( sK5_SY42 ))]]) ).

thf(241,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK7_SY57 )
        = $true )
      | ( ( SV12 = sK4_SY33 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK7_SY57 )
        = $true ) ),
    inference(extuni,[status(esa)],[201:[bind(SV11,$thf( sK7_SY57 )),bind(SV10,$thf( sK4_SY33 ))]]) ).

thf(242,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK4_SY33 )
        = $true )
      | ( ( SV12 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK4_SY33 )
        = $true ) ),
    inference(extuni,[status(esa)],[201:[bind(SV10,$thf( sK7_SY57 )),bind(SV11,$thf( sK4_SY33 ))]]) ).

thf(243,plain,
    ! [SV11: $i] :
      ( ( ( sK7_SY57 = SV11 )
        = $true )
      | ( ( SV11 = sK4_SY33 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[200:[bind(SV12,$thf( sK7_SY57 )),bind(SV10,$thf( sK4_SY33 ))]]) ).

thf(244,plain,
    ! [SV11: $i] :
      ( ( ( sK4_SY33 = SV11 )
        = $true )
      | ( ( SV11 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[200:[bind(SV10,$thf( sK7_SY57 )),bind(SV12,$thf( sK4_SY33 ))]]) ).

thf(245,plain,
    ! [SV10: $i] :
      ( ( ( sK7_SY57 = SV10 )
        = $true )
      | ( ( sK4_SY33 = SV10 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK4_SY33 )
        = $true ) ),
    inference(extuni,[status(esa)],[199:[bind(SV12,$thf( sK7_SY57 )),bind(SV11,$thf( sK4_SY33 ))]]) ).

thf(246,plain,
    ! [SV10: $i] :
      ( ( ( sK4_SY33 = SV10 )
        = $true )
      | ( ( sK7_SY57 = SV10 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ sK7_SY57 )
        = $true ) ),
    inference(extuni,[status(esa)],[199:[bind(SV11,$thf( sK7_SY57 )),bind(SV12,$thf( sK4_SY33 ))]]) ).

thf(247,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK6_SY50 )
        = $true )
      | ( ( SV12 = sK4_SY33 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK6_SY50 )
        = $true ) ),
    inference(extuni,[status(esa)],[195:[bind(SV11,$thf( sK6_SY50 )),bind(SV10,$thf( sK4_SY33 ))]]) ).

thf(248,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK4_SY33 )
        = $true )
      | ( ( SV12 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK4_SY33 )
        = $true ) ),
    inference(extuni,[status(esa)],[195:[bind(SV10,$thf( sK6_SY50 )),bind(SV11,$thf( sK4_SY33 ))]]) ).

thf(249,plain,
    ! [SV11: $i] :
      ( ( ( sK6_SY50 = SV11 )
        = $true )
      | ( ( SV11 = sK4_SY33 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[194:[bind(SV12,$thf( sK6_SY50 )),bind(SV10,$thf( sK4_SY33 ))]]) ).

thf(250,plain,
    ! [SV11: $i] :
      ( ( ( sK4_SY33 = SV11 )
        = $true )
      | ( ( SV11 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[194:[bind(SV10,$thf( sK6_SY50 )),bind(SV12,$thf( sK4_SY33 ))]]) ).

thf(251,plain,
    ! [SV10: $i] :
      ( ( ( sK6_SY50 = SV10 )
        = $true )
      | ( ( sK4_SY33 = SV10 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ sK4_SY33 )
        = $true ) ),
    inference(extuni,[status(esa)],[193:[bind(SV12,$thf( sK6_SY50 )),bind(SV11,$thf( sK4_SY33 ))]]) ).

thf(252,plain,
    ! [SV10: $i] :
      ( ( ( sK4_SY33 = SV10 )
        = $true )
      | ( ( sK6_SY50 = SV10 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ sK6_SY50 )
        = $true ) ),
    inference(extuni,[status(esa)],[193:[bind(SV11,$thf( sK6_SY50 )),bind(SV12,$thf( sK4_SY33 ))]]) ).

thf(253,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK5_SY42 )
        = $true )
      | ( ( SV12 = sK4_SY33 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK5_SY42 )
        = $true ) ),
    inference(extuni,[status(esa)],[189:[bind(SV11,$thf( sK5_SY42 )),bind(SV10,$thf( sK4_SY33 ))]]) ).

thf(254,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK4_SY33 )
        = $true )
      | ( ( SV12 = sK5_SY42 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK4_SY33 )
        = $true ) ),
    inference(extuni,[status(esa)],[189:[bind(SV10,$thf( sK5_SY42 )),bind(SV11,$thf( sK4_SY33 ))]]) ).

thf(255,plain,
    ! [SV11: $i] :
      ( ( ( sK5_SY42 = SV11 )
        = $true )
      | ( ( SV11 = sK4_SY33 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[188:[bind(SV12,$thf( sK5_SY42 )),bind(SV10,$thf( sK4_SY33 ))]]) ).

thf(256,plain,
    ! [SV11: $i] :
      ( ( ( sK4_SY33 = SV11 )
        = $true )
      | ( ( SV11 = sK5_SY42 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[188:[bind(SV10,$thf( sK5_SY42 )),bind(SV12,$thf( sK4_SY33 ))]]) ).

thf(257,plain,
    ! [SV10: $i] :
      ( ( ( sK5_SY42 = SV10 )
        = $true )
      | ( ( sK4_SY33 = SV10 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ sK4_SY33 )
        = $true ) ),
    inference(extuni,[status(esa)],[187:[bind(SV12,$thf( sK5_SY42 )),bind(SV11,$thf( sK4_SY33 ))]]) ).

thf(258,plain,
    ! [SV10: $i] :
      ( ( ( sK4_SY33 = SV10 )
        = $true )
      | ( ( sK5_SY42 = SV10 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ sK5_SY42 )
        = $true ) ),
    inference(extuni,[status(esa)],[187:[bind(SV11,$thf( sK5_SY42 )),bind(SV12,$thf( sK4_SY33 ))]]) ).

thf(259,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK7_SY57 )
        = $true )
      | ( ( SV12 = sK3_SY23 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK7_SY57 )
        = $true ) ),
    inference(extuni,[status(esa)],[183:[bind(SV11,$thf( sK7_SY57 )),bind(SV10,$thf( sK3_SY23 ))]]) ).

thf(260,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK3_SY23 )
        = $true )
      | ( ( SV12 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK3_SY23 )
        = $true ) ),
    inference(extuni,[status(esa)],[183:[bind(SV10,$thf( sK7_SY57 )),bind(SV11,$thf( sK3_SY23 ))]]) ).

thf(261,plain,
    ! [SV11: $i] :
      ( ( ( sK7_SY57 = SV11 )
        = $true )
      | ( ( SV11 = sK3_SY23 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[182:[bind(SV12,$thf( sK7_SY57 )),bind(SV10,$thf( sK3_SY23 ))]]) ).

thf(262,plain,
    ! [SV11: $i] :
      ( ( ( sK3_SY23 = SV11 )
        = $true )
      | ( ( SV11 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[182:[bind(SV10,$thf( sK7_SY57 )),bind(SV12,$thf( sK3_SY23 ))]]) ).

thf(263,plain,
    ! [SV10: $i] :
      ( ( ( sK7_SY57 = SV10 )
        = $true )
      | ( ( sK3_SY23 = SV10 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK3_SY23 )
        = $true ) ),
    inference(extuni,[status(esa)],[181:[bind(SV12,$thf( sK7_SY57 )),bind(SV11,$thf( sK3_SY23 ))]]) ).

thf(264,plain,
    ! [SV10: $i] :
      ( ( ( sK3_SY23 = SV10 )
        = $true )
      | ( ( sK7_SY57 = SV10 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ sK7_SY57 )
        = $true ) ),
    inference(extuni,[status(esa)],[181:[bind(SV11,$thf( sK7_SY57 )),bind(SV12,$thf( sK3_SY23 ))]]) ).

thf(265,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK6_SY50 )
        = $true )
      | ( ( SV12 = sK3_SY23 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK6_SY50 )
        = $true ) ),
    inference(extuni,[status(esa)],[177:[bind(SV11,$thf( sK6_SY50 )),bind(SV10,$thf( sK3_SY23 ))]]) ).

thf(266,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK3_SY23 )
        = $true )
      | ( ( SV12 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK3_SY23 )
        = $true ) ),
    inference(extuni,[status(esa)],[177:[bind(SV10,$thf( sK6_SY50 )),bind(SV11,$thf( sK3_SY23 ))]]) ).

thf(267,plain,
    ! [SV11: $i] :
      ( ( ( sK6_SY50 = SV11 )
        = $true )
      | ( ( SV11 = sK3_SY23 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[176:[bind(SV12,$thf( sK6_SY50 )),bind(SV10,$thf( sK3_SY23 ))]]) ).

thf(268,plain,
    ! [SV11: $i] :
      ( ( ( sK3_SY23 = SV11 )
        = $true )
      | ( ( SV11 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[176:[bind(SV10,$thf( sK6_SY50 )),bind(SV12,$thf( sK3_SY23 ))]]) ).

thf(269,plain,
    ! [SV10: $i] :
      ( ( ( sK6_SY50 = SV10 )
        = $true )
      | ( ( sK3_SY23 = SV10 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ sK3_SY23 )
        = $true ) ),
    inference(extuni,[status(esa)],[175:[bind(SV12,$thf( sK6_SY50 )),bind(SV11,$thf( sK3_SY23 ))]]) ).

thf(270,plain,
    ! [SV10: $i] :
      ( ( ( sK3_SY23 = SV10 )
        = $true )
      | ( ( sK6_SY50 = SV10 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ sK6_SY50 )
        = $true ) ),
    inference(extuni,[status(esa)],[175:[bind(SV11,$thf( sK6_SY50 )),bind(SV12,$thf( sK3_SY23 ))]]) ).

thf(271,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK5_SY42 )
        = $true )
      | ( ( SV12 = sK3_SY23 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK5_SY42 )
        = $true ) ),
    inference(extuni,[status(esa)],[171:[bind(SV11,$thf( sK5_SY42 )),bind(SV10,$thf( sK3_SY23 ))]]) ).

thf(272,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK3_SY23 )
        = $true )
      | ( ( SV12 = sK5_SY42 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK3_SY23 )
        = $true ) ),
    inference(extuni,[status(esa)],[171:[bind(SV10,$thf( sK5_SY42 )),bind(SV11,$thf( sK3_SY23 ))]]) ).

thf(273,plain,
    ! [SV11: $i] :
      ( ( ( sK5_SY42 = SV11 )
        = $true )
      | ( ( SV11 = sK3_SY23 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[170:[bind(SV12,$thf( sK5_SY42 )),bind(SV10,$thf( sK3_SY23 ))]]) ).

thf(274,plain,
    ! [SV11: $i] :
      ( ( ( sK3_SY23 = SV11 )
        = $true )
      | ( ( SV11 = sK5_SY42 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[170:[bind(SV10,$thf( sK5_SY42 )),bind(SV12,$thf( sK3_SY23 ))]]) ).

thf(275,plain,
    ! [SV10: $i] :
      ( ( ( sK5_SY42 = SV10 )
        = $true )
      | ( ( sK3_SY23 = SV10 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ sK3_SY23 )
        = $true ) ),
    inference(extuni,[status(esa)],[169:[bind(SV12,$thf( sK5_SY42 )),bind(SV11,$thf( sK3_SY23 ))]]) ).

thf(276,plain,
    ! [SV10: $i] :
      ( ( ( sK3_SY23 = SV10 )
        = $true )
      | ( ( sK5_SY42 = SV10 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ sK5_SY42 )
        = $true ) ),
    inference(extuni,[status(esa)],[169:[bind(SV11,$thf( sK5_SY42 )),bind(SV12,$thf( sK3_SY23 ))]]) ).

thf(277,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK4_SY33 )
        = $true )
      | ( ( SV12 = sK3_SY23 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK4_SY33 )
        = $true ) ),
    inference(extuni,[status(esa)],[165:[bind(SV11,$thf( sK4_SY33 )),bind(SV10,$thf( sK3_SY23 ))]]) ).

thf(278,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK3_SY23 )
        = $true )
      | ( ( SV12 = sK4_SY33 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK3_SY23 )
        = $true ) ),
    inference(extuni,[status(esa)],[165:[bind(SV10,$thf( sK4_SY33 )),bind(SV11,$thf( sK3_SY23 ))]]) ).

thf(279,plain,
    ! [SV11: $i] :
      ( ( ( sK4_SY33 = SV11 )
        = $true )
      | ( ( SV11 = sK3_SY23 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[164:[bind(SV12,$thf( sK4_SY33 )),bind(SV10,$thf( sK3_SY23 ))]]) ).

thf(280,plain,
    ! [SV11: $i] :
      ( ( ( sK3_SY23 = SV11 )
        = $true )
      | ( ( SV11 = sK4_SY33 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[164:[bind(SV10,$thf( sK4_SY33 )),bind(SV12,$thf( sK3_SY23 ))]]) ).

thf(281,plain,
    ! [SV10: $i] :
      ( ( ( sK4_SY33 = SV10 )
        = $true )
      | ( ( sK3_SY23 = SV10 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ sK3_SY23 )
        = $true ) ),
    inference(extuni,[status(esa)],[163:[bind(SV12,$thf( sK4_SY33 )),bind(SV11,$thf( sK3_SY23 ))]]) ).

thf(282,plain,
    ! [SV10: $i] :
      ( ( ( sK3_SY23 = SV10 )
        = $true )
      | ( ( sK4_SY33 = SV10 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ sK4_SY33 )
        = $true ) ),
    inference(extuni,[status(esa)],[163:[bind(SV11,$thf( sK4_SY33 )),bind(SV12,$thf( sK3_SY23 ))]]) ).

thf(283,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK7_SY57 )
        = $true )
      | ( ( SV12 = sK2_SY12 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK7_SY57 )
        = $true ) ),
    inference(extuni,[status(esa)],[159:[bind(SV11,$thf( sK7_SY57 )),bind(SV10,$thf( sK2_SY12 ))]]) ).

thf(284,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK2_SY12 )
        = $true )
      | ( ( SV12 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK2_SY12 )
        = $true ) ),
    inference(extuni,[status(esa)],[159:[bind(SV10,$thf( sK7_SY57 )),bind(SV11,$thf( sK2_SY12 ))]]) ).

thf(285,plain,
    ! [SV11: $i] :
      ( ( ( sK7_SY57 = SV11 )
        = $true )
      | ( ( SV11 = sK2_SY12 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[158:[bind(SV12,$thf( sK7_SY57 )),bind(SV10,$thf( sK2_SY12 ))]]) ).

thf(286,plain,
    ! [SV11: $i] :
      ( ( ( sK2_SY12 = SV11 )
        = $true )
      | ( ( SV11 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[158:[bind(SV10,$thf( sK7_SY57 )),bind(SV12,$thf( sK2_SY12 ))]]) ).

thf(287,plain,
    ! [SV10: $i] :
      ( ( ( sK7_SY57 = SV10 )
        = $true )
      | ( ( sK2_SY12 = SV10 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK2_SY12 )
        = $true ) ),
    inference(extuni,[status(esa)],[157:[bind(SV12,$thf( sK7_SY57 )),bind(SV11,$thf( sK2_SY12 ))]]) ).

thf(288,plain,
    ! [SV10: $i] :
      ( ( ( sK2_SY12 = SV10 )
        = $true )
      | ( ( sK7_SY57 = SV10 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ sK7_SY57 )
        = $true ) ),
    inference(extuni,[status(esa)],[157:[bind(SV11,$thf( sK7_SY57 )),bind(SV12,$thf( sK2_SY12 ))]]) ).

thf(289,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK6_SY50 )
        = $true )
      | ( ( SV12 = sK2_SY12 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK6_SY50 )
        = $true ) ),
    inference(extuni,[status(esa)],[153:[bind(SV11,$thf( sK6_SY50 )),bind(SV10,$thf( sK2_SY12 ))]]) ).

thf(290,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK2_SY12 )
        = $true )
      | ( ( SV12 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK2_SY12 )
        = $true ) ),
    inference(extuni,[status(esa)],[153:[bind(SV10,$thf( sK6_SY50 )),bind(SV11,$thf( sK2_SY12 ))]]) ).

thf(291,plain,
    ! [SV11: $i] :
      ( ( ( sK6_SY50 = SV11 )
        = $true )
      | ( ( SV11 = sK2_SY12 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[152:[bind(SV12,$thf( sK6_SY50 )),bind(SV10,$thf( sK2_SY12 ))]]) ).

thf(292,plain,
    ! [SV11: $i] :
      ( ( ( sK2_SY12 = SV11 )
        = $true )
      | ( ( SV11 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[152:[bind(SV10,$thf( sK6_SY50 )),bind(SV12,$thf( sK2_SY12 ))]]) ).

thf(293,plain,
    ! [SV10: $i] :
      ( ( ( sK6_SY50 = SV10 )
        = $true )
      | ( ( sK2_SY12 = SV10 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ sK2_SY12 )
        = $true ) ),
    inference(extuni,[status(esa)],[151:[bind(SV12,$thf( sK6_SY50 )),bind(SV11,$thf( sK2_SY12 ))]]) ).

thf(294,plain,
    ! [SV10: $i] :
      ( ( ( sK2_SY12 = SV10 )
        = $true )
      | ( ( sK6_SY50 = SV10 )
        = $true )
      | ( ( sK1_R @ sK6_SY50 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ sK6_SY50 )
        = $true ) ),
    inference(extuni,[status(esa)],[151:[bind(SV11,$thf( sK6_SY50 )),bind(SV12,$thf( sK2_SY12 ))]]) ).

thf(295,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK5_SY42 )
        = $true )
      | ( ( SV12 = sK2_SY12 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK5_SY42 )
        = $true ) ),
    inference(extuni,[status(esa)],[147:[bind(SV11,$thf( sK5_SY42 )),bind(SV10,$thf( sK2_SY12 ))]]) ).

thf(296,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK2_SY12 )
        = $true )
      | ( ( SV12 = sK5_SY42 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK2_SY12 )
        = $true ) ),
    inference(extuni,[status(esa)],[147:[bind(SV10,$thf( sK5_SY42 )),bind(SV11,$thf( sK2_SY12 ))]]) ).

thf(297,plain,
    ! [SV11: $i] :
      ( ( ( sK5_SY42 = SV11 )
        = $true )
      | ( ( SV11 = sK2_SY12 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[146:[bind(SV12,$thf( sK5_SY42 )),bind(SV10,$thf( sK2_SY12 ))]]) ).

thf(298,plain,
    ! [SV11: $i] :
      ( ( ( sK2_SY12 = SV11 )
        = $true )
      | ( ( SV11 = sK5_SY42 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ sK5_SY42 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[146:[bind(SV10,$thf( sK5_SY42 )),bind(SV12,$thf( sK2_SY12 ))]]) ).

thf(299,plain,
    ! [SV10: $i] :
      ( ( ( sK5_SY42 = SV10 )
        = $true )
      | ( ( sK2_SY12 = SV10 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ sK2_SY12 )
        = $true ) ),
    inference(extuni,[status(esa)],[145:[bind(SV12,$thf( sK5_SY42 )),bind(SV11,$thf( sK2_SY12 ))]]) ).

thf(300,plain,
    ! [SV10: $i] :
      ( ( ( sK2_SY12 = SV10 )
        = $true )
      | ( ( sK5_SY42 = SV10 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ sK5_SY42 )
        = $true ) ),
    inference(extuni,[status(esa)],[145:[bind(SV11,$thf( sK5_SY42 )),bind(SV12,$thf( sK2_SY12 ))]]) ).

thf(301,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK4_SY33 )
        = $true )
      | ( ( SV12 = sK2_SY12 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK4_SY33 )
        = $true ) ),
    inference(extuni,[status(esa)],[141:[bind(SV11,$thf( sK4_SY33 )),bind(SV10,$thf( sK2_SY12 ))]]) ).

thf(302,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK2_SY12 )
        = $true )
      | ( ( SV12 = sK4_SY33 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK2_SY12 )
        = $true ) ),
    inference(extuni,[status(esa)],[141:[bind(SV10,$thf( sK4_SY33 )),bind(SV11,$thf( sK2_SY12 ))]]) ).

thf(303,plain,
    ! [SV11: $i] :
      ( ( ( sK4_SY33 = SV11 )
        = $true )
      | ( ( SV11 = sK2_SY12 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[140:[bind(SV12,$thf( sK4_SY33 )),bind(SV10,$thf( sK2_SY12 ))]]) ).

thf(304,plain,
    ! [SV11: $i] :
      ( ( ( sK2_SY12 = SV11 )
        = $true )
      | ( ( SV11 = sK4_SY33 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ sK4_SY33 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[140:[bind(SV10,$thf( sK4_SY33 )),bind(SV12,$thf( sK2_SY12 ))]]) ).

thf(305,plain,
    ! [SV10: $i] :
      ( ( ( sK4_SY33 = SV10 )
        = $true )
      | ( ( sK2_SY12 = SV10 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ sK2_SY12 )
        = $true ) ),
    inference(extuni,[status(esa)],[139:[bind(SV12,$thf( sK4_SY33 )),bind(SV11,$thf( sK2_SY12 ))]]) ).

thf(306,plain,
    ! [SV10: $i] :
      ( ( ( sK2_SY12 = SV10 )
        = $true )
      | ( ( sK4_SY33 = SV10 )
        = $true )
      | ( ( sK1_R @ sK4_SY33 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ sK4_SY33 )
        = $true ) ),
    inference(extuni,[status(esa)],[139:[bind(SV11,$thf( sK4_SY33 )),bind(SV12,$thf( sK2_SY12 ))]]) ).

thf(307,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK3_SY23 )
        = $true )
      | ( ( SV12 = sK2_SY12 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK3_SY23 )
        = $true ) ),
    inference(extuni,[status(esa)],[135:[bind(SV11,$thf( sK3_SY23 )),bind(SV10,$thf( sK2_SY12 ))]]) ).

thf(308,plain,
    ! [SV12: $i] :
      ( ( ( SV12 = sK2_SY12 )
        = $true )
      | ( ( SV12 = sK3_SY23 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ SV12 @ sK2_SY12 )
        = $true ) ),
    inference(extuni,[status(esa)],[135:[bind(SV10,$thf( sK3_SY23 )),bind(SV11,$thf( sK2_SY12 ))]]) ).

thf(309,plain,
    ! [SV11: $i] :
      ( ( ( sK3_SY23 = SV11 )
        = $true )
      | ( ( SV11 = sK2_SY12 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ sK2_SY12 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[134:[bind(SV12,$thf( sK3_SY23 )),bind(SV10,$thf( sK2_SY12 ))]]) ).

thf(310,plain,
    ! [SV11: $i] :
      ( ( ( sK2_SY12 = SV11 )
        = $true )
      | ( ( SV11 = sK3_SY23 )
        = $true )
      | ( ( sK1_R @ SV11 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ sK3_SY23 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[134:[bind(SV10,$thf( sK3_SY23 )),bind(SV12,$thf( sK2_SY12 ))]]) ).

thf(311,plain,
    ! [SV10: $i] :
      ( ( ( sK3_SY23 = SV10 )
        = $true )
      | ( ( sK2_SY12 = SV10 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ sK2_SY12 )
        = $true ) ),
    inference(extuni,[status(esa)],[133:[bind(SV12,$thf( sK3_SY23 )),bind(SV11,$thf( sK2_SY12 ))]]) ).

thf(312,plain,
    ! [SV10: $i] :
      ( ( ( sK2_SY12 = SV10 )
        = $true )
      | ( ( sK3_SY23 = SV10 )
        = $true )
      | ( ( sK1_R @ sK3_SY23 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ SV10 )
        = $true )
      | ( ( sK1_R @ sK2_SY12 @ sK3_SY23 )
        = $true ) ),
    inference(extuni,[status(esa)],[133:[bind(SV11,$thf( sK3_SY23 )),bind(SV12,$thf( sK2_SY12 ))]]) ).

thf(313,plain,
    ! [SV10: $i,SV9: $i,SV8: $i] :
      ( ( ( sK1_R @ SV8 @ SV9 )
        = $true )
      | ( ( SV9 = SV8 )
        = $true )
      | ( ( SV9 = SV10 )
        = $true )
      | ( ( SV8 = SV10 )
        = $true )
      | ( ( sK1_R @ SV8 @ SV10 )
        = $true )
      | ( ( sK1_R @ SV9 @ SV10 )
        = $true ) ),
    inference(extuni,[status(esa)],[132:[bind(SV11,$thf( SV8 )),bind(SV12,$thf( SV9 ))]]) ).

thf(314,plain,
    ! [SV11: $i,SV9: $i,SV8: $i] :
      ( ( ( sK1_R @ SV8 @ SV9 )
        = $true )
      | ( ( SV9 = SV11 )
        = $true )
      | ( ( SV9 = SV8 )
        = $true )
      | ( ( SV11 = SV8 )
        = $true )
      | ( ( sK1_R @ SV11 @ SV8 )
        = $true )
      | ( ( sK1_R @ SV9 @ SV11 )
        = $true ) ),
    inference(extuni,[status(esa)],[131:[bind(SV10,$thf( SV8 )),bind(SV12,$thf( SV9 ))]]) ).

thf(315,plain,
    ! [SV12: $i,SV9: $i,SV8: $i] :
      ( ( ( sK1_R @ SV8 @ SV9 )
        = $true )
      | ( ( SV12 = SV9 )
        = $true )
      | ( ( SV12 = SV8 )
        = $true )
      | ( ( SV9 = SV8 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV8 )
        = $true )
      | ( ( sK1_R @ SV12 @ SV9 )
        = $true ) ),
    inference(extuni,[status(esa)],[130:[bind(SV10,$thf( SV8 )),bind(SV11,$thf( SV9 ))]]) ).

thf(316,plain,
    ! [SV13: $i] :
      ( ( ( SV13 = sK7_SY57 )
        = $true )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(rename,[status(thm)],[223]) ).

thf(317,plain,
    ! [SV13: $i,SV8: $i,SV9: $i] :
      ( ( ( ( sK1_R @ SV13 @ sK7_SY57 )
          = ( sK1_R @ SV9 @ SV8 ) )
        = $false )
      | ( ( SV13 = sK7_SY57 )
        = $true )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV8 @ SV9 )
        = $true ) ),
    inference(res,[status(thm)],[316,106]) ).

thf(318,plain,
    ! [SV13: $i,SV8: $i,SV9: $i] :
      ( ( ( ( sK1_R @ SV13 @ sK6_SY50 )
          = ( sK1_R @ SV9 @ SV8 ) )
        = $false )
      | ( ( SV13 = sK7_SY57 )
        = $true )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV8 @ SV9 )
        = $true ) ),
    inference(res,[status(thm)],[316,106]) ).

thf(319,plain,
    ! [SV13: $i,SV8: $i,SV9: $i] :
      ( ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
          = ( sK1_R @ SV9 @ SV8 ) )
        = $false )
      | ( ( SV13 = sK7_SY57 )
        = $true )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV8 @ SV9 )
        = $true ) ),
    inference(res,[status(thm)],[316,106]) ).

thf(325,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK6_SY50 )
          = ( sK2_SY12 = sK3_SY23 ) )
        = $false )
      | ( ( SV13 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,78]) ).

thf(326,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK7_SY57 )
          = ( sK2_SY12 = sK3_SY23 ) )
        = $false )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,78]) ).

thf(330,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK6_SY50 )
          = ( sK2_SY12 = sK4_SY33 ) )
        = $false )
      | ( ( SV13 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,77]) ).

thf(331,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK7_SY57 )
          = ( sK2_SY12 = sK4_SY33 ) )
        = $false )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,77]) ).

thf(335,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK6_SY50 )
          = ( sK2_SY12 = sK5_SY42 ) )
        = $false )
      | ( ( SV13 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,76]) ).

thf(336,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK7_SY57 )
          = ( sK2_SY12 = sK5_SY42 ) )
        = $false )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,76]) ).

thf(340,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK6_SY50 )
          = ( sK2_SY12 = sK6_SY50 ) )
        = $false )
      | ( ( SV13 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,75]) ).

thf(341,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK7_SY57 )
          = ( sK2_SY12 = sK6_SY50 ) )
        = $false )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,75]) ).

thf(345,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK6_SY50 )
          = ( sK2_SY12 = sK7_SY57 ) )
        = $false )
      | ( ( SV13 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,74]) ).

thf(346,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK7_SY57 )
          = ( sK2_SY12 = sK7_SY57 ) )
        = $false )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,74]) ).

thf(350,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK6_SY50 )
          = ( sK3_SY23 = sK4_SY33 ) )
        = $false )
      | ( ( SV13 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,73]) ).

thf(351,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK7_SY57 )
          = ( sK3_SY23 = sK4_SY33 ) )
        = $false )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,73]) ).

thf(355,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK6_SY50 )
          = ( sK3_SY23 = sK5_SY42 ) )
        = $false )
      | ( ( SV13 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,72]) ).

thf(356,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK7_SY57 )
          = ( sK3_SY23 = sK5_SY42 ) )
        = $false )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,72]) ).

thf(360,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK6_SY50 )
          = ( sK3_SY23 = sK6_SY50 ) )
        = $false )
      | ( ( SV13 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,71]) ).

thf(361,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK7_SY57 )
          = ( sK3_SY23 = sK6_SY50 ) )
        = $false )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,71]) ).

thf(365,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK6_SY50 )
          = ( sK3_SY23 = sK7_SY57 ) )
        = $false )
      | ( ( SV13 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,70]) ).

thf(366,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK7_SY57 )
          = ( sK3_SY23 = sK7_SY57 ) )
        = $false )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,70]) ).

thf(370,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK6_SY50 )
          = ( sK4_SY33 = sK5_SY42 ) )
        = $false )
      | ( ( SV13 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,69]) ).

thf(371,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK7_SY57 )
          = ( sK4_SY33 = sK5_SY42 ) )
        = $false )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,69]) ).

thf(375,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK6_SY50 )
          = ( sK4_SY33 = sK6_SY50 ) )
        = $false )
      | ( ( SV13 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,68]) ).

thf(376,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK7_SY57 )
          = ( sK4_SY33 = sK6_SY50 ) )
        = $false )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,68]) ).

thf(380,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK6_SY50 )
          = ( sK4_SY33 = sK7_SY57 ) )
        = $false )
      | ( ( SV13 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,67]) ).

thf(381,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK7_SY57 )
          = ( sK4_SY33 = sK7_SY57 ) )
        = $false )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,67]) ).

thf(385,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK6_SY50 )
          = ( sK5_SY42 = sK6_SY50 ) )
        = $false )
      | ( ( SV13 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,66]) ).

thf(386,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK7_SY57 )
          = ( sK5_SY42 = sK6_SY50 ) )
        = $false )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,66]) ).

thf(390,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK6_SY50 )
          = ( sK5_SY42 = sK7_SY57 ) )
        = $false )
      | ( ( SV13 = sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,65]) ).

thf(391,plain,
    ! [SV13: $i] :
      ( ( ( ( SV13 = sK7_SY57 )
          = ( sK5_SY42 = sK7_SY57 ) )
        = $false )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true ) ),
    inference(res,[status(thm)],[316,65]) ).

thf(401,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK5_SY42 )
      = $false ) ),
    inference(extuni,[status(esa)],[391:[bind(SV13,$thf( sK7_SY57 ))]]) ).

thf(402,plain,
    ( ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK5_SY42 = sK6_SY50 )
      = $true ) ),
    inference(extuni,[status(esa)],[391:[bind(SV13,$thf( sK5_SY42 ))]]) ).

thf(404,plain,
    ( ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK5_SY42 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK7_SY57 )
      = $false ) ),
    inference(extuni,[status(esa)],[390:[bind(SV13,$thf( sK5_SY42 ))]]) ).

thf(406,plain,
    ( ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK5_SY42 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK6_SY50 )
      = $false ) ),
    inference(extuni,[status(esa)],[386:[bind(SV13,$thf( sK5_SY42 ))]]) ).

thf(407,plain,
    ( ( ( sK1_R @ sK6_SY50 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK6_SY50 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK6_SY50 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK5_SY42 )
      = $false ) ),
    inference(extuni,[status(esa)],[385:[bind(SV13,$thf( sK6_SY50 ))]]) ).

thf(408,plain,
    ( ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK5_SY42 = sK7_SY57 )
      = $true ) ),
    inference(extuni,[status(esa)],[385:[bind(SV13,$thf( sK5_SY42 ))]]) ).

thf(409,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK4_SY33 )
      = $false ) ),
    inference(extuni,[status(esa)],[381:[bind(SV13,$thf( sK7_SY57 ))]]) ).

thf(410,plain,
    ( ( ( sK1_R @ sK4_SY33 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK4_SY33 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK4_SY33 = sK6_SY50 )
      = $true ) ),
    inference(extuni,[status(esa)],[381:[bind(SV13,$thf( sK4_SY33 ))]]) ).

thf(412,plain,
    ( ( ( sK1_R @ sK4_SY33 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK4_SY33 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK4_SY33 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK7_SY57 )
      = $false ) ),
    inference(extuni,[status(esa)],[380:[bind(SV13,$thf( sK4_SY33 ))]]) ).

thf(414,plain,
    ( ( ( sK1_R @ sK4_SY33 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK4_SY33 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK4_SY33 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK6_SY50 )
      = $false ) ),
    inference(extuni,[status(esa)],[376:[bind(SV13,$thf( sK4_SY33 ))]]) ).

thf(415,plain,
    ( ( ( sK1_R @ sK6_SY50 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK6_SY50 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK6_SY50 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK4_SY33 )
      = $false ) ),
    inference(extuni,[status(esa)],[375:[bind(SV13,$thf( sK6_SY50 ))]]) ).

thf(416,plain,
    ( ( ( sK1_R @ sK4_SY33 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK4_SY33 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK4_SY33 = sK7_SY57 )
      = $true ) ),
    inference(extuni,[status(esa)],[375:[bind(SV13,$thf( sK4_SY33 ))]]) ).

thf(417,plain,
    ( ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK5_SY42 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK4_SY33 )
      = $false ) ),
    inference(extuni,[status(esa)],[371:[bind(SV13,$thf( sK5_SY42 ))]]) ).

thf(418,plain,
    ( ( ( sK1_R @ sK4_SY33 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK4_SY33 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK4_SY33 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK5_SY42 )
      = $false ) ),
    inference(extuni,[status(esa)],[371:[bind(SV13,$thf( sK4_SY33 ))]]) ).

thf(419,plain,
    ( ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK5_SY42 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK4_SY33 )
      = $false ) ),
    inference(extuni,[status(esa)],[370:[bind(SV13,$thf( sK5_SY42 ))]]) ).

thf(420,plain,
    ( ( ( sK1_R @ sK4_SY33 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK4_SY33 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK4_SY33 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK5_SY42 )
      = $false ) ),
    inference(extuni,[status(esa)],[370:[bind(SV13,$thf( sK4_SY33 ))]]) ).

thf(421,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK3_SY23 )
      = $false ) ),
    inference(extuni,[status(esa)],[366:[bind(SV13,$thf( sK7_SY57 ))]]) ).

thf(422,plain,
    ( ( ( sK1_R @ sK3_SY23 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK3_SY23 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK3_SY23 = sK6_SY50 )
      = $true ) ),
    inference(extuni,[status(esa)],[366:[bind(SV13,$thf( sK3_SY23 ))]]) ).

thf(424,plain,
    ( ( ( sK1_R @ sK3_SY23 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK3_SY23 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK3_SY23 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK7_SY57 )
      = $false ) ),
    inference(extuni,[status(esa)],[365:[bind(SV13,$thf( sK3_SY23 ))]]) ).

thf(426,plain,
    ( ( ( sK1_R @ sK3_SY23 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK3_SY23 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK3_SY23 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK6_SY50 )
      = $false ) ),
    inference(extuni,[status(esa)],[361:[bind(SV13,$thf( sK3_SY23 ))]]) ).

thf(427,plain,
    ( ( ( sK1_R @ sK6_SY50 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK6_SY50 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK6_SY50 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK3_SY23 )
      = $false ) ),
    inference(extuni,[status(esa)],[360:[bind(SV13,$thf( sK6_SY50 ))]]) ).

thf(428,plain,
    ( ( ( sK1_R @ sK3_SY23 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK3_SY23 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK3_SY23 = sK7_SY57 )
      = $true ) ),
    inference(extuni,[status(esa)],[360:[bind(SV13,$thf( sK3_SY23 ))]]) ).

thf(429,plain,
    ( ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK5_SY42 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK3_SY23 )
      = $false ) ),
    inference(extuni,[status(esa)],[356:[bind(SV13,$thf( sK5_SY42 ))]]) ).

thf(430,plain,
    ( ( ( sK1_R @ sK3_SY23 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK3_SY23 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK3_SY23 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK5_SY42 )
      = $false ) ),
    inference(extuni,[status(esa)],[356:[bind(SV13,$thf( sK3_SY23 ))]]) ).

thf(431,plain,
    ( ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK5_SY42 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK3_SY23 )
      = $false ) ),
    inference(extuni,[status(esa)],[355:[bind(SV13,$thf( sK5_SY42 ))]]) ).

thf(432,plain,
    ( ( ( sK1_R @ sK3_SY23 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK3_SY23 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK3_SY23 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK5_SY42 )
      = $false ) ),
    inference(extuni,[status(esa)],[355:[bind(SV13,$thf( sK3_SY23 ))]]) ).

thf(433,plain,
    ( ( ( sK1_R @ sK4_SY33 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK4_SY33 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK4_SY33 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK3_SY23 )
      = $false ) ),
    inference(extuni,[status(esa)],[351:[bind(SV13,$thf( sK4_SY33 ))]]) ).

thf(434,plain,
    ( ( ( sK1_R @ sK3_SY23 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK3_SY23 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK3_SY23 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK4_SY33 )
      = $false ) ),
    inference(extuni,[status(esa)],[351:[bind(SV13,$thf( sK3_SY23 ))]]) ).

thf(435,plain,
    ( ( ( sK1_R @ sK4_SY33 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK4_SY33 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK4_SY33 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK3_SY23 )
      = $false ) ),
    inference(extuni,[status(esa)],[350:[bind(SV13,$thf( sK4_SY33 ))]]) ).

thf(436,plain,
    ( ( ( sK1_R @ sK3_SY23 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK3_SY23 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK3_SY23 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK4_SY33 )
      = $false ) ),
    inference(extuni,[status(esa)],[350:[bind(SV13,$thf( sK3_SY23 ))]]) ).

thf(437,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK2_SY12 )
      = $false ) ),
    inference(extuni,[status(esa)],[346:[bind(SV13,$thf( sK7_SY57 ))]]) ).

thf(438,plain,
    ( ( ( sK1_R @ sK2_SY12 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK2_SY12 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK2_SY12 = sK6_SY50 )
      = $true ) ),
    inference(extuni,[status(esa)],[346:[bind(SV13,$thf( sK2_SY12 ))]]) ).

thf(440,plain,
    ( ( ( sK1_R @ sK2_SY12 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK2_SY12 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK2_SY12 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK7_SY57 )
      = $false ) ),
    inference(extuni,[status(esa)],[345:[bind(SV13,$thf( sK2_SY12 ))]]) ).

thf(442,plain,
    ( ( ( sK1_R @ sK2_SY12 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK2_SY12 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK2_SY12 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK6_SY50 )
      = $false ) ),
    inference(extuni,[status(esa)],[341:[bind(SV13,$thf( sK2_SY12 ))]]) ).

thf(443,plain,
    ( ( ( sK1_R @ sK6_SY50 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK6_SY50 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK6_SY50 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK2_SY12 )
      = $false ) ),
    inference(extuni,[status(esa)],[340:[bind(SV13,$thf( sK6_SY50 ))]]) ).

thf(444,plain,
    ( ( ( sK1_R @ sK2_SY12 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK2_SY12 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK2_SY12 = sK7_SY57 )
      = $true ) ),
    inference(extuni,[status(esa)],[340:[bind(SV13,$thf( sK2_SY12 ))]]) ).

thf(445,plain,
    ( ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK5_SY42 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK2_SY12 )
      = $false ) ),
    inference(extuni,[status(esa)],[336:[bind(SV13,$thf( sK5_SY42 ))]]) ).

thf(446,plain,
    ( ( ( sK1_R @ sK2_SY12 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK2_SY12 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK2_SY12 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK5_SY42 )
      = $false ) ),
    inference(extuni,[status(esa)],[336:[bind(SV13,$thf( sK2_SY12 ))]]) ).

thf(447,plain,
    ( ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK5_SY42 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK2_SY12 )
      = $false ) ),
    inference(extuni,[status(esa)],[335:[bind(SV13,$thf( sK5_SY42 ))]]) ).

thf(448,plain,
    ( ( ( sK1_R @ sK2_SY12 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK2_SY12 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK2_SY12 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK5_SY42 )
      = $false ) ),
    inference(extuni,[status(esa)],[335:[bind(SV13,$thf( sK2_SY12 ))]]) ).

thf(449,plain,
    ( ( ( sK1_R @ sK4_SY33 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK4_SY33 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK4_SY33 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK2_SY12 )
      = $false ) ),
    inference(extuni,[status(esa)],[331:[bind(SV13,$thf( sK4_SY33 ))]]) ).

thf(450,plain,
    ( ( ( sK1_R @ sK2_SY12 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK2_SY12 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK2_SY12 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK4_SY33 )
      = $false ) ),
    inference(extuni,[status(esa)],[331:[bind(SV13,$thf( sK2_SY12 ))]]) ).

thf(451,plain,
    ( ( ( sK1_R @ sK4_SY33 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK4_SY33 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK4_SY33 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK2_SY12 )
      = $false ) ),
    inference(extuni,[status(esa)],[330:[bind(SV13,$thf( sK4_SY33 ))]]) ).

thf(452,plain,
    ( ( ( sK1_R @ sK2_SY12 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK2_SY12 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK2_SY12 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK4_SY33 )
      = $false ) ),
    inference(extuni,[status(esa)],[330:[bind(SV13,$thf( sK2_SY12 ))]]) ).

thf(453,plain,
    ( ( ( sK1_R @ sK3_SY23 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK3_SY23 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK3_SY23 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK2_SY12 )
      = $false ) ),
    inference(extuni,[status(esa)],[326:[bind(SV13,$thf( sK3_SY23 ))]]) ).

thf(454,plain,
    ( ( ( sK1_R @ sK2_SY12 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK2_SY12 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK2_SY12 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK3_SY23 )
      = $false ) ),
    inference(extuni,[status(esa)],[326:[bind(SV13,$thf( sK2_SY12 ))]]) ).

thf(455,plain,
    ( ( ( sK1_R @ sK3_SY23 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK3_SY23 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK3_SY23 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK2_SY12 )
      = $false ) ),
    inference(extuni,[status(esa)],[325:[bind(SV13,$thf( sK3_SY23 ))]]) ).

thf(456,plain,
    ( ( ( sK1_R @ sK2_SY12 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK2_SY12 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK2_SY12 = sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK3_SY23 )
      = $false ) ),
    inference(extuni,[status(esa)],[325:[bind(SV13,$thf( sK2_SY12 ))]]) ).

thf(457,plain,
    ! [SV13: $i] :
      ( ( ( sK1_R @ sK6_SY50 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ SV13 @ sK6_SY50 )
        = $true )
      | ( ( SV13 = sK6_SY50 )
        = $true )
      | ( ( SV13 = sK7_SY57 )
        = $true ) ),
    inference(extuni,[status(esa)],[319:[bind(SV8,$thf( sK6_SY50 )),bind(SV9,$thf( sK7_SY57 ))]]) ).

thf(458,plain,
    ! [SV9: $i] :
      ( ( ( sK1_R @ sK6_SY50 @ SV9 )
        = $true )
      | ( ( sK1_R @ SV9 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( SV9 = sK6_SY50 )
        = $true )
      | ( ( SV9 = sK7_SY57 )
        = $true ) ),
    inference(extuni,[status(esa)],[318:[bind(SV8,$thf( sK6_SY50 )),bind(SV13,$thf( SV9 ))]]) ).

thf(459,plain,
    ! [SV9: $i] :
      ( ( ( sK1_R @ sK7_SY57 @ SV9 )
        = $true )
      | ( ( sK1_R @ SV9 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( SV9 = sK6_SY50 )
        = $true )
      | ( ( SV9 = sK7_SY57 )
        = $true ) ),
    inference(extuni,[status(esa)],[317:[bind(SV8,$thf( sK7_SY57 )),bind(SV13,$thf( SV9 ))]]) ).

thf(460,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK5_SY42 )
      = $false ) ),
    inference(sim,[status(thm)],[401]) ).

thf(461,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK4_SY33 )
      = $false ) ),
    inference(sim,[status(thm)],[409]) ).

thf(462,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK3_SY23 )
      = $false ) ),
    inference(sim,[status(thm)],[421]) ).

thf(463,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK6_SY50 )
      = $true )
    | ( ( sK7_SY57 = sK2_SY12 )
      = $false ) ),
    inference(sim,[status(thm)],[437]) ).

thf(465,plain,
    ! [SV8: $i,SV9: $i] :
      ( ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
          = ( sK1_R @ SV9 @ SV8 ) )
        = $false )
      | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
        = $true )
      | ( ( sK5_SY42 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV8 @ SV9 )
        = $true ) ),
    inference(res,[status(thm)],[402,106]) ).

thf(466,plain,
    ! [SV8: $i,SV9: $i] :
      ( ( ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
          = ( sK1_R @ SV9 @ SV8 ) )
        = $false )
      | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK5_SY42 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV8 @ SV9 )
        = $true ) ),
    inference(res,[status(thm)],[402,106]) ).

thf(467,plain,
    ! [SV8: $i,SV9: $i] :
      ( ( ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
          = ( sK1_R @ SV9 @ SV8 ) )
        = $false )
      | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
        = $true )
      | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
        = $true )
      | ( ( sK5_SY42 = sK6_SY50 )
        = $true )
      | ( ( sK1_R @ SV8 @ SV9 )
        = $true ) ),
    inference(res,[status(thm)],[402,106]) ).

thf(468,plain,
    ( ( ( ( sK5_SY42 = sK6_SY50 )
        = ( sK2_SY12 = sK3_SY23 ) )
      = $false )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true ) ),
    inference(res,[status(thm)],[402,78]) ).

thf(472,plain,
    ( ( ( ( sK5_SY42 = sK6_SY50 )
        = ( sK2_SY12 = sK4_SY33 ) )
      = $false )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true ) ),
    inference(res,[status(thm)],[402,77]) ).

thf(476,plain,
    ( ( ( ( sK5_SY42 = sK6_SY50 )
        = ( sK2_SY12 = sK5_SY42 ) )
      = $false )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true ) ),
    inference(res,[status(thm)],[402,76]) ).

thf(480,plain,
    ( ( ( ( sK5_SY42 = sK6_SY50 )
        = ( sK2_SY12 = sK6_SY50 ) )
      = $false )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true ) ),
    inference(res,[status(thm)],[402,75]) ).

thf(484,plain,
    ( ( ( ( sK5_SY42 = sK6_SY50 )
        = ( sK2_SY12 = sK7_SY57 ) )
      = $false )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true ) ),
    inference(res,[status(thm)],[402,74]) ).

thf(488,plain,
    ( ( ( ( sK5_SY42 = sK6_SY50 )
        = ( sK3_SY23 = sK4_SY33 ) )
      = $false )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true ) ),
    inference(res,[status(thm)],[402,73]) ).

thf(492,plain,
    ( ( ( ( sK5_SY42 = sK6_SY50 )
        = ( sK3_SY23 = sK5_SY42 ) )
      = $false )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true ) ),
    inference(res,[status(thm)],[402,72]) ).

thf(496,plain,
    ( ( ( ( sK5_SY42 = sK6_SY50 )
        = ( sK3_SY23 = sK6_SY50 ) )
      = $false )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true ) ),
    inference(res,[status(thm)],[402,71]) ).

thf(500,plain,
    ( ( ( ( sK5_SY42 = sK6_SY50 )
        = ( sK3_SY23 = sK7_SY57 ) )
      = $false )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true ) ),
    inference(res,[status(thm)],[402,70]) ).

thf(504,plain,
    ( ( ( ( sK5_SY42 = sK6_SY50 )
        = ( sK4_SY33 = sK5_SY42 ) )
      = $false )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true ) ),
    inference(res,[status(thm)],[402,69]) ).

thf(508,plain,
    ( ( ( ( sK5_SY42 = sK6_SY50 )
        = ( sK4_SY33 = sK6_SY50 ) )
      = $false )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true ) ),
    inference(res,[status(thm)],[402,68]) ).

thf(512,plain,
    ( ( ( ( sK5_SY42 = sK6_SY50 )
        = ( sK4_SY33 = sK7_SY57 ) )
      = $false )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true ) ),
    inference(res,[status(thm)],[402,67]) ).

thf(516,plain,
    ( ( ( ( sK5_SY42 = sK6_SY50 )
        = ( sK5_SY42 = sK6_SY50 ) )
      = $false )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true ) ),
    inference(res,[status(thm)],[402,66]) ).

thf(520,plain,
    ( ( ( ( sK5_SY42 = sK6_SY50 )
        = ( sK5_SY42 = sK7_SY57 ) )
      = $false )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true ) ),
    inference(res,[status(thm)],[402,65]) ).

thf(524,plain,
    ( ( ( ( sK5_SY42 = sK6_SY50 )
        = ( sK6_SY50 = sK7_SY57 ) )
      = $false )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true ) ),
    inference(res,[status(thm)],[402,64]) ).

thf(528,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK5_SY42 = sK7_SY57 )
      = $false ) ),
    inference(extuni,[status(esa)],[524]) ).

thf(529,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK7_SY57 )
      = $false )
    | ( ( sK5_SY42 = sK6_SY50 )
      = $false ) ),
    inference(extuni,[status(esa)],[524]) ).

thf(530,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK5_SY42 = sK7_SY57 )
      = $false )
    | ( ( sK6_SY50 = sK5_SY42 )
      = $false ) ),
    inference(extuni,[status(esa)],[520]) ).

thf(531,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK7_SY57 )
      = $false ) ),
    inference(extuni,[status(esa)],[520]) ).

thf(532,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true ) ),
    inference(extuni,[status(esa)],[516]) ).

thf(533,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK5_SY42 = sK7_SY57 )
      = $false )
    | ( ( sK6_SY50 = sK4_SY33 )
      = $false ) ),
    inference(extuni,[status(esa)],[512]) ).

thf(534,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK7_SY57 )
      = $false )
    | ( ( sK5_SY42 = sK4_SY33 )
      = $false ) ),
    inference(extuni,[status(esa)],[512]) ).

thf(535,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK5_SY42 = sK6_SY50 )
      = $false )
    | ( ( sK6_SY50 = sK4_SY33 )
      = $false ) ),
    inference(extuni,[status(esa)],[508]) ).

thf(536,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK5_SY42 = sK4_SY33 )
      = $false ) ),
    inference(extuni,[status(esa)],[508]) ).

thf(537,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK4_SY33 )
      = $false ) ),
    inference(extuni,[status(esa)],[504]) ).

thf(538,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK5_SY42 )
      = $false )
    | ( ( sK5_SY42 = sK4_SY33 )
      = $false ) ),
    inference(extuni,[status(esa)],[504]) ).

thf(539,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK5_SY42 = sK7_SY57 )
      = $false )
    | ( ( sK6_SY50 = sK3_SY23 )
      = $false ) ),
    inference(extuni,[status(esa)],[500]) ).

thf(540,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK7_SY57 )
      = $false )
    | ( ( sK5_SY42 = sK3_SY23 )
      = $false ) ),
    inference(extuni,[status(esa)],[500]) ).

thf(541,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK5_SY42 = sK6_SY50 )
      = $false )
    | ( ( sK6_SY50 = sK3_SY23 )
      = $false ) ),
    inference(extuni,[status(esa)],[496]) ).

thf(542,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK5_SY42 = sK3_SY23 )
      = $false ) ),
    inference(extuni,[status(esa)],[496]) ).

thf(543,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK3_SY23 )
      = $false ) ),
    inference(extuni,[status(esa)],[492]) ).

thf(544,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK5_SY42 )
      = $false )
    | ( ( sK5_SY42 = sK3_SY23 )
      = $false ) ),
    inference(extuni,[status(esa)],[492]) ).

thf(545,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK5_SY42 = sK4_SY33 )
      = $false )
    | ( ( sK6_SY50 = sK3_SY23 )
      = $false ) ),
    inference(extuni,[status(esa)],[488]) ).

thf(546,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK4_SY33 )
      = $false )
    | ( ( sK5_SY42 = sK3_SY23 )
      = $false ) ),
    inference(extuni,[status(esa)],[488]) ).

thf(547,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK5_SY42 = sK7_SY57 )
      = $false )
    | ( ( sK6_SY50 = sK2_SY12 )
      = $false ) ),
    inference(extuni,[status(esa)],[484]) ).

thf(548,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK7_SY57 )
      = $false )
    | ( ( sK5_SY42 = sK2_SY12 )
      = $false ) ),
    inference(extuni,[status(esa)],[484]) ).

thf(549,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK5_SY42 = sK6_SY50 )
      = $false )
    | ( ( sK6_SY50 = sK2_SY12 )
      = $false ) ),
    inference(extuni,[status(esa)],[480]) ).

thf(550,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK5_SY42 = sK2_SY12 )
      = $false ) ),
    inference(extuni,[status(esa)],[480]) ).

thf(551,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK2_SY12 )
      = $false ) ),
    inference(extuni,[status(esa)],[476]) ).

thf(552,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK5_SY42 )
      = $false )
    | ( ( sK5_SY42 = sK2_SY12 )
      = $false ) ),
    inference(extuni,[status(esa)],[476]) ).

thf(553,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK5_SY42 = sK4_SY33 )
      = $false )
    | ( ( sK6_SY50 = sK2_SY12 )
      = $false ) ),
    inference(extuni,[status(esa)],[472]) ).

thf(554,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK4_SY33 )
      = $false )
    | ( ( sK5_SY42 = sK2_SY12 )
      = $false ) ),
    inference(extuni,[status(esa)],[472]) ).

thf(555,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK5_SY42 = sK3_SY23 )
      = $false )
    | ( ( sK6_SY50 = sK2_SY12 )
      = $false ) ),
    inference(extuni,[status(esa)],[468]) ).

thf(556,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true )
    | ( ( sK6_SY50 = sK3_SY23 )
      = $false )
    | ( ( sK5_SY42 = sK2_SY12 )
      = $false ) ),
    inference(extuni,[status(esa)],[468]) ).

thf(557,plain,
    ( ( ( sK1_R @ sK7_SY57 @ sK5_SY42 )
      = $true )
    | ( ( sK5_SY42 = sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true ) ),
    inference(extuni,[status(esa)],[467:[bind(SV8,$thf( sK7_SY57 )),bind(SV9,$thf( sK5_SY42 ))]]) ).

thf(558,plain,
    ( ( ( sK1_R @ sK6_SY50 @ sK5_SY42 )
      = $true )
    | ( ( sK5_SY42 = sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK7_SY57 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true ) ),
    inference(extuni,[status(esa)],[466:[bind(SV8,$thf( sK6_SY50 )),bind(SV9,$thf( sK5_SY42 ))]]) ).

thf(559,plain,
    ( ( ( sK1_R @ sK6_SY50 @ sK7_SY57 )
      = $true )
    | ( ( sK5_SY42 = sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK6_SY50 )
      = $true )
    | ( ( sK1_R @ sK5_SY42 @ sK7_SY57 )
      = $true ) ),
    inference(extuni,[status(esa)],[465:[bind(SV8,$thf( sK6_SY50 )),bind(SV9,$thf( sK7_SY57 ))]]) ).

thf(560,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[64,559,558,557,556,555,554,553,552,551,550,549,548,547,546,545,544,543,542,541,540,539,538,537,536,535,534,533,532,531,530,529,528,463,462,461,460,459,458,457,456,455,454,453,452,451,450,449,448,447,446,445,444,443,442,440,438,436,435,434,433,432,431,430,429,428,427,426,424,422,420,419,418,417,416,415,414,412,410,408,407,406,404,402,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,300,299,298,297,296,295,294,293,292,291,290,289,288,287,286,285,284,283,282,281,280,279,278,277,276,275,274,273,272,271,270,269,268,267,266,265,264,263,262,261,260,259,258,257,256,255,254,253,252,251,250,249,248,247,246,245,244,243,242,241,240,239,238,237,236,235,234,233,232,231,230,229,228,227,226,225,224,126,106,105,78,77,76,75,74,73,72,71,70,69,68,67,66,65]) ).

thf(561,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[560]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV108^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.18  % Computer : n001.cluster.edu
% 0.12/0.18  % Model    : x86_64 x86_64
% 0.12/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18  % Memory   : 8046.5625MB
% 0.12/0.18  % OS       : Linux 6.8.0-71-generic
% 0.12/0.18  % CPULimit : 300
% 0.12/0.18  % WCLimit  : 300
% 0.12/0.18  % DateTime : Tue Oct  6 15:46:54 UTC 2026
% 0.12/0.18  % CPUTime  : 
% 0.12/0.18  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 143.85/24.35  
% 143.85/24.35   No.of.Axioms: 0
% 143.85/24.35  
% 143.85/24.35   Length.of.Defs: 0
% 143.85/24.35  
% 143.85/24.35   Contains.Choice.Funs: false
% 143.85/24.35  ....eprover: CPU time limit exceeded, terminating
% 143.85/24.35  .........
% 143.85/24.35  
% 143.85/24.35  ********************************
% 143.85/24.35  *   All subproblems solved!    *
% 143.85/24.35  ********************************
% 143.85/24.35  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:16,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:560,loop_count:20,foatp_calls:2,translation:fof_experiment)
% 143.85/24.35  
% 143.85/24.35  %**** Beginning of derivation protocol ****
% 143.85/24.35  % SZS output start CNFRefutation
% See solution above
% 143.85/24.35  
% 143.85/24.35  %**** End of derivation protocol ****
% 143.85/24.35  %**** no. of clauses in derivation: 387 ****
% 143.85/24.35  %**** clause counter: 560 ****
% 143.85/24.35  
% 143.85/24.35  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:16,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:560,loop_count:20,foatp_calls:2,translation:fof_experiment)
%------------------------------------------------------------------------------