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

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : SYO180^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n016.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 11:07:46 AM UTC 2026

% Result   : Theorem 0.46s 0.29s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    1
% Syntax   : Number of formulae    :  223 (  90 unt;   0 typ;   0 def)
%            Number of atoms       : 2113 ( 515 equ;   0 cnn)
%            Maximal formula atoms :    5 (   9 avg)
%            Number of connectives : 1934 ( 617   ~; 479   |; 585   &;   0   @)
%                                         (   0 <=>; 253  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;  13 con; 0-2 aty)
%            Number of variables   :   88 (   0   ^;  88   !;   0   ?;  88   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_sK10_SY63,type,
    sK10_SY63: $o ).

thf(tp_sK11_SY65,type,
    sK11_SY65: $o ).

thf(tp_sK1_L,type,
    sK1_L: $o ).

thf(tp_sK2_SY11,type,
    sK2_SY11: $o ).

thf(tp_sK3_SY21,type,
    sK3_SY21: $o ).

thf(tp_sK4_SY30,type,
    sK4_SY30: $o ).

thf(tp_sK5_SY38,type,
    sK5_SY38: $o ).

thf(tp_sK6_SY45,type,
    sK6_SY45: $o ).

thf(tp_sK7_SY51,type,
    sK7_SY51: $o ).

thf(tp_sK8_SY56,type,
    sK8_SY56: $o ).

thf(tp_sK9_SY60,type,
    sK9_SY60: $o ).

thf(1,conjecture,
    ! [L: $o,P: $o,M: $o,G: $o,R: $o,E: $o,N: $o,F: $o,K: $o,B: $o,C: $o] :
      ( ( ( ( L
            & P )
         => M )
        & ( ( G
            & ~ R )
         => M )
        & ( ( ~ K
            & N
            & M )
         => F )
        & ( ( ~ G
            & ~ P )
         => R )
        & ( ( K
            & B )
         => C )
        & ( ( R
            & ~ N
            & ~ F )
         => P )
        & ( ( L
            & M )
         => C )
        & ( ( E
            & ~ K
            & G
            & ~ N )
         => ~ M )
        & ( ( ~ G
            & ~ R )
         => K )
        & ( ( K
            & L
            & E )
         => ~ M )
        & ( ( R
            & E )
         => ~ C )
        & ( ( G
            & ~ K
            & ~ M )
         => ~ B )
        & ( ( N
            & ~ P
            & ~ F )
         => C )
        & ( ( G
            & B
            & ~ R )
         => ~ C )
        & ( ( R
            & ~ K
            & ~ M )
         => G ) )
     => ( ( E
          & L )
       => ( F
          & ~ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPORKCHOP2) ).

thf(2,negated_conjecture,
    ( ( ! [L: $o,P: $o,M: $o,G: $o,R: $o,E: $o,N: $o,F: $o,K: $o,B: $o,C: $o] :
          ( ( ( ( L
                & P )
             => M )
            & ( ( G
                & ~ R )
             => M )
            & ( ( ~ K
                & N
                & M )
             => F )
            & ( ( ~ G
                & ~ P )
             => R )
            & ( ( K
                & B )
             => C )
            & ( ( R
                & ~ N
                & ~ F )
             => P )
            & ( ( L
                & M )
             => C )
            & ( ( E
                & ~ K
                & G
                & ~ N )
             => ~ M )
            & ( ( ~ G
                & ~ R )
             => K )
            & ( ( K
                & L
                & E )
             => ~ M )
            & ( ( R
                & E )
             => ~ C )
            & ( ( G
                & ~ K
                & ~ M )
             => ~ B )
            & ( ( N
                & ~ P
                & ~ F )
             => C )
            & ( ( G
                & B
                & ~ R )
             => ~ C )
            & ( ( R
                & ~ K
                & ~ M )
             => G ) )
         => ( ( E
              & L )
           => ( F
              & ~ B ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ! [L: $o,P: $o,M: $o,G: $o,R: $o,E: $o,N: $o,F: $o,K: $o,B: $o,C: $o] :
          ( ( ( ( L
                & P )
             => M )
            & ( ( G
                & ~ R )
             => M )
            & ( ( ~ K
                & N
                & M )
             => F )
            & ( ( ~ G
                & ~ P )
             => R )
            & ( ( K
                & B )
             => C )
            & ( ( R
                & ~ N
                & ~ F )
             => P )
            & ( ( L
                & M )
             => C )
            & ( ( E
                & ~ K
                & G
                & ~ N )
             => ~ M )
            & ( ( ~ G
                & ~ R )
             => K )
            & ( ( K
                & L
                & E )
             => ~ M )
            & ( ( R
                & E )
             => ~ C )
            & ( ( G
                & ~ K
                & ~ M )
             => ~ B )
            & ( ( N
                & ~ P
                & ~ F )
             => C )
            & ( ( G
                & B
                & ~ R )
             => ~ C )
            & ( ( R
                & ~ K
                & ~ M )
             => G ) )
         => ( ( E
              & L )
           => ( F
              & ~ B ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ! [SY11: $o,SY12: $o,SY13: $o,SY14: $o,SY15: $o,SY16: $o,SY17: $o,SY18: $o,SY19: $o,SY20: $o] :
          ( ( ( ( sK1_L
                & SY11 )
             => SY12 )
            & ( ( SY13
                & ~ SY14 )
             => SY12 )
            & ( ( ~ SY18
                & SY16
                & SY12 )
             => SY17 )
            & ( ( ~ SY13
                & ~ SY11 )
             => SY14 )
            & ( ( SY18
                & SY19 )
             => SY20 )
            & ( ( SY14
                & ~ SY16
                & ~ SY17 )
             => SY11 )
            & ( ( sK1_L
                & SY12 )
             => SY20 )
            & ( ( SY15
                & ~ SY18
                & SY13
                & ~ SY16 )
             => ~ SY12 )
            & ( ( ~ SY13
                & ~ SY14 )
             => SY18 )
            & ( ( SY18
                & sK1_L
                & SY15 )
             => ~ SY12 )
            & ( ( SY14
                & SY15 )
             => ~ SY20 )
            & ( ( SY13
                & ~ SY18
                & ~ SY12 )
             => ~ SY19 )
            & ( ( SY16
                & ~ SY11
                & ~ SY17 )
             => SY20 )
            & ( ( SY13
                & SY19
                & ~ SY14 )
             => ~ SY20 )
            & ( ( SY14
                & ~ SY18
                & ~ SY12 )
             => SY13 ) )
         => ( ( SY15
              & sK1_L )
           => ( SY17
              & ~ SY19 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[3]) ).

thf(5,plain,
    ( ( ! [SY21: $o,SY22: $o,SY23: $o,SY24: $o,SY25: $o,SY26: $o,SY27: $o,SY28: $o,SY29: $o] :
          ( ( ( ( sK1_L
                & sK2_SY11 )
             => SY21 )
            & ( ( SY22
                & ~ SY23 )
             => SY21 )
            & ( ( ~ SY27
                & SY25
                & SY21 )
             => SY26 )
            & ( ( ~ SY22
                & ~ sK2_SY11 )
             => SY23 )
            & ( ( SY27
                & SY28 )
             => SY29 )
            & ( ( SY23
                & ~ SY25
                & ~ SY26 )
             => sK2_SY11 )
            & ( ( sK1_L
                & SY21 )
             => SY29 )
            & ( ( SY24
                & ~ SY27
                & SY22
                & ~ SY25 )
             => ~ SY21 )
            & ( ( ~ SY22
                & ~ SY23 )
             => SY27 )
            & ( ( SY27
                & sK1_L
                & SY24 )
             => ~ SY21 )
            & ( ( SY23
                & SY24 )
             => ~ SY29 )
            & ( ( SY22
                & ~ SY27
                & ~ SY21 )
             => ~ SY28 )
            & ( ( SY25
                & ~ sK2_SY11
                & ~ SY26 )
             => SY29 )
            & ( ( SY22
                & SY28
                & ~ SY23 )
             => ~ SY29 )
            & ( ( SY23
                & ~ SY27
                & ~ SY21 )
             => SY22 ) )
         => ( ( SY24
              & sK1_L )
           => ( SY26
              & ~ SY28 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[4]) ).

thf(6,plain,
    ( ( ! [SY30: $o,SY31: $o,SY32: $o,SY33: $o,SY34: $o,SY35: $o,SY36: $o,SY37: $o] :
          ( ( ( ( sK1_L
                & sK2_SY11 )
             => sK3_SY21 )
            & ( ( SY30
                & ~ SY31 )
             => sK3_SY21 )
            & ( ( ~ SY35
                & SY33
                & sK3_SY21 )
             => SY34 )
            & ( ( ~ SY30
                & ~ sK2_SY11 )
             => SY31 )
            & ( ( SY35
                & SY36 )
             => SY37 )
            & ( ( SY31
                & ~ SY33
                & ~ SY34 )
             => sK2_SY11 )
            & ( ( sK1_L
                & sK3_SY21 )
             => SY37 )
            & ( ( SY32
                & ~ SY35
                & SY30
                & ~ SY33 )
             => ~ sK3_SY21 )
            & ( ( ~ SY30
                & ~ SY31 )
             => SY35 )
            & ( ( SY35
                & sK1_L
                & SY32 )
             => ~ sK3_SY21 )
            & ( ( SY31
                & SY32 )
             => ~ SY37 )
            & ( ( SY30
                & ~ SY35
                & ~ sK3_SY21 )
             => ~ SY36 )
            & ( ( SY33
                & ~ sK2_SY11
                & ~ SY34 )
             => SY37 )
            & ( ( SY30
                & SY36
                & ~ SY31 )
             => ~ SY37 )
            & ( ( SY31
                & ~ SY35
                & ~ sK3_SY21 )
             => SY30 ) )
         => ( ( SY32
              & sK1_L )
           => ( SY34
              & ~ SY36 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[5]) ).

thf(7,plain,
    ( ( ! [SY38: $o,SY39: $o,SY40: $o,SY41: $o,SY42: $o,SY43: $o,SY44: $o] :
          ( ( ( ( sK1_L
                & sK2_SY11 )
             => sK3_SY21 )
            & ( ( sK4_SY30
                & ~ SY38 )
             => sK3_SY21 )
            & ( ( ~ SY42
                & SY40
                & sK3_SY21 )
             => SY41 )
            & ( ( ~ sK4_SY30
                & ~ sK2_SY11 )
             => SY38 )
            & ( ( SY42
                & SY43 )
             => SY44 )
            & ( ( SY38
                & ~ SY40
                & ~ SY41 )
             => sK2_SY11 )
            & ( ( sK1_L
                & sK3_SY21 )
             => SY44 )
            & ( ( SY39
                & ~ SY42
                & sK4_SY30
                & ~ SY40 )
             => ~ sK3_SY21 )
            & ( ( ~ sK4_SY30
                & ~ SY38 )
             => SY42 )
            & ( ( SY42
                & sK1_L
                & SY39 )
             => ~ sK3_SY21 )
            & ( ( SY38
                & SY39 )
             => ~ SY44 )
            & ( ( sK4_SY30
                & ~ SY42
                & ~ sK3_SY21 )
             => ~ SY43 )
            & ( ( SY40
                & ~ sK2_SY11
                & ~ SY41 )
             => SY44 )
            & ( ( sK4_SY30
                & SY43
                & ~ SY38 )
             => ~ SY44 )
            & ( ( SY38
                & ~ SY42
                & ~ sK3_SY21 )
             => sK4_SY30 ) )
         => ( ( SY39
              & sK1_L )
           => ( SY41
              & ~ SY43 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[6]) ).

thf(8,plain,
    ( ( ! [SY45: $o,SY46: $o,SY47: $o,SY48: $o,SY49: $o,SY50: $o] :
          ( ( ( ( sK1_L
                & sK2_SY11 )
             => sK3_SY21 )
            & ( ( sK4_SY30
                & ~ sK5_SY38 )
             => sK3_SY21 )
            & ( ( ~ SY48
                & SY46
                & sK3_SY21 )
             => SY47 )
            & ( ( ~ sK4_SY30
                & ~ sK2_SY11 )
             => sK5_SY38 )
            & ( ( SY48
                & SY49 )
             => SY50 )
            & ( ( sK5_SY38
                & ~ SY46
                & ~ SY47 )
             => sK2_SY11 )
            & ( ( sK1_L
                & sK3_SY21 )
             => SY50 )
            & ( ( SY45
                & ~ SY48
                & sK4_SY30
                & ~ SY46 )
             => ~ sK3_SY21 )
            & ( ( ~ sK4_SY30
                & ~ sK5_SY38 )
             => SY48 )
            & ( ( SY48
                & sK1_L
                & SY45 )
             => ~ sK3_SY21 )
            & ( ( sK5_SY38
                & SY45 )
             => ~ SY50 )
            & ( ( sK4_SY30
                & ~ SY48
                & ~ sK3_SY21 )
             => ~ SY49 )
            & ( ( SY46
                & ~ sK2_SY11
                & ~ SY47 )
             => SY50 )
            & ( ( sK4_SY30
                & SY49
                & ~ sK5_SY38 )
             => ~ SY50 )
            & ( ( sK5_SY38
                & ~ SY48
                & ~ sK3_SY21 )
             => sK4_SY30 ) )
         => ( ( SY45
              & sK1_L )
           => ( SY47
              & ~ SY49 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[7]) ).

thf(9,plain,
    ( ( ! [SY51: $o,SY52: $o,SY53: $o,SY54: $o,SY55: $o] :
          ( ( ( ( sK1_L
                & sK2_SY11 )
             => sK3_SY21 )
            & ( ( sK4_SY30
                & ~ sK5_SY38 )
             => sK3_SY21 )
            & ( ( ~ SY53
                & SY51
                & sK3_SY21 )
             => SY52 )
            & ( ( ~ sK4_SY30
                & ~ sK2_SY11 )
             => sK5_SY38 )
            & ( ( SY53
                & SY54 )
             => SY55 )
            & ( ( sK5_SY38
                & ~ SY51
                & ~ SY52 )
             => sK2_SY11 )
            & ( ( sK1_L
                & sK3_SY21 )
             => SY55 )
            & ( ( sK6_SY45
                & ~ SY53
                & sK4_SY30
                & ~ SY51 )
             => ~ sK3_SY21 )
            & ( ( ~ sK4_SY30
                & ~ sK5_SY38 )
             => SY53 )
            & ( ( SY53
                & sK1_L
                & sK6_SY45 )
             => ~ sK3_SY21 )
            & ( ( sK5_SY38
                & sK6_SY45 )
             => ~ SY55 )
            & ( ( sK4_SY30
                & ~ SY53
                & ~ sK3_SY21 )
             => ~ SY54 )
            & ( ( SY51
                & ~ sK2_SY11
                & ~ SY52 )
             => SY55 )
            & ( ( sK4_SY30
                & SY54
                & ~ sK5_SY38 )
             => ~ SY55 )
            & ( ( sK5_SY38
                & ~ SY53
                & ~ sK3_SY21 )
             => sK4_SY30 ) )
         => ( ( sK6_SY45
              & sK1_L )
           => ( SY52
              & ~ SY54 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[8]) ).

thf(10,plain,
    ( ( ! [SY56: $o,SY57: $o,SY58: $o,SY59: $o] :
          ( ( ( ( sK1_L
                & sK2_SY11 )
             => sK3_SY21 )
            & ( ( sK4_SY30
                & ~ sK5_SY38 )
             => sK3_SY21 )
            & ( ( ~ SY57
                & sK7_SY51
                & sK3_SY21 )
             => SY56 )
            & ( ( ~ sK4_SY30
                & ~ sK2_SY11 )
             => sK5_SY38 )
            & ( ( SY57
                & SY58 )
             => SY59 )
            & ( ( sK5_SY38
                & ~ sK7_SY51
                & ~ SY56 )
             => sK2_SY11 )
            & ( ( sK1_L
                & sK3_SY21 )
             => SY59 )
            & ( ( sK6_SY45
                & ~ SY57
                & sK4_SY30
                & ~ sK7_SY51 )
             => ~ sK3_SY21 )
            & ( ( ~ sK4_SY30
                & ~ sK5_SY38 )
             => SY57 )
            & ( ( SY57
                & sK1_L
                & sK6_SY45 )
             => ~ sK3_SY21 )
            & ( ( sK5_SY38
                & sK6_SY45 )
             => ~ SY59 )
            & ( ( sK4_SY30
                & ~ SY57
                & ~ sK3_SY21 )
             => ~ SY58 )
            & ( ( sK7_SY51
                & ~ sK2_SY11
                & ~ SY56 )
             => SY59 )
            & ( ( sK4_SY30
                & SY58
                & ~ sK5_SY38 )
             => ~ SY59 )
            & ( ( sK5_SY38
                & ~ SY57
                & ~ sK3_SY21 )
             => sK4_SY30 ) )
         => ( ( sK6_SY45
              & sK1_L )
           => ( SY56
              & ~ SY58 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[9]) ).

thf(11,plain,
    ( ( ! [SY60: $o,SY61: $o,SY62: $o] :
          ( ( ( ( sK1_L
                & sK2_SY11 )
             => sK3_SY21 )
            & ( ( sK4_SY30
                & ~ sK5_SY38 )
             => sK3_SY21 )
            & ( ( ~ SY60
                & sK7_SY51
                & sK3_SY21 )
             => sK8_SY56 )
            & ( ( ~ sK4_SY30
                & ~ sK2_SY11 )
             => sK5_SY38 )
            & ( ( SY60
                & SY61 )
             => SY62 )
            & ( ( sK5_SY38
                & ~ sK7_SY51
                & ~ sK8_SY56 )
             => sK2_SY11 )
            & ( ( sK1_L
                & sK3_SY21 )
             => SY62 )
            & ( ( sK6_SY45
                & ~ SY60
                & sK4_SY30
                & ~ sK7_SY51 )
             => ~ sK3_SY21 )
            & ( ( ~ sK4_SY30
                & ~ sK5_SY38 )
             => SY60 )
            & ( ( SY60
                & sK1_L
                & sK6_SY45 )
             => ~ sK3_SY21 )
            & ( ( sK5_SY38
                & sK6_SY45 )
             => ~ SY62 )
            & ( ( sK4_SY30
                & ~ SY60
                & ~ sK3_SY21 )
             => ~ SY61 )
            & ( ( sK7_SY51
                & ~ sK2_SY11
                & ~ sK8_SY56 )
             => SY62 )
            & ( ( sK4_SY30
                & SY61
                & ~ sK5_SY38 )
             => ~ SY62 )
            & ( ( sK5_SY38
                & ~ SY60
                & ~ sK3_SY21 )
             => sK4_SY30 ) )
         => ( ( sK6_SY45
              & sK1_L )
           => ( sK8_SY56
              & ~ SY61 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[10]) ).

thf(12,plain,
    ( ( ! [SY63: $o,SY64: $o] :
          ( ( ( ( sK1_L
                & sK2_SY11 )
             => sK3_SY21 )
            & ( ( sK4_SY30
                & ~ sK5_SY38 )
             => sK3_SY21 )
            & ( ( ~ sK9_SY60
                & sK7_SY51
                & sK3_SY21 )
             => sK8_SY56 )
            & ( ( ~ sK4_SY30
                & ~ sK2_SY11 )
             => sK5_SY38 )
            & ( ( sK9_SY60
                & SY63 )
             => SY64 )
            & ( ( sK5_SY38
                & ~ sK7_SY51
                & ~ sK8_SY56 )
             => sK2_SY11 )
            & ( ( sK1_L
                & sK3_SY21 )
             => SY64 )
            & ( ( sK6_SY45
                & ~ sK9_SY60
                & sK4_SY30
                & ~ sK7_SY51 )
             => ~ sK3_SY21 )
            & ( ( ~ sK4_SY30
                & ~ sK5_SY38 )
             => sK9_SY60 )
            & ( ( sK9_SY60
                & sK1_L
                & sK6_SY45 )
             => ~ sK3_SY21 )
            & ( ( sK5_SY38
                & sK6_SY45 )
             => ~ SY64 )
            & ( ( sK4_SY30
                & ~ sK9_SY60
                & ~ sK3_SY21 )
             => ~ SY63 )
            & ( ( sK7_SY51
                & ~ sK2_SY11
                & ~ sK8_SY56 )
             => SY64 )
            & ( ( sK4_SY30
                & SY63
                & ~ sK5_SY38 )
             => ~ SY64 )
            & ( ( sK5_SY38
                & ~ sK9_SY60
                & ~ sK3_SY21 )
             => sK4_SY30 ) )
         => ( ( sK6_SY45
              & sK1_L )
           => ( sK8_SY56
              & ~ SY63 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[11]) ).

thf(13,plain,
    ( ( ! [SY65: $o] :
          ( ( ( ( sK1_L
                & sK2_SY11 )
             => sK3_SY21 )
            & ( ( sK4_SY30
                & ~ sK5_SY38 )
             => sK3_SY21 )
            & ( ( ~ sK9_SY60
                & sK7_SY51
                & sK3_SY21 )
             => sK8_SY56 )
            & ( ( ~ sK4_SY30
                & ~ sK2_SY11 )
             => sK5_SY38 )
            & ( ( sK9_SY60
                & sK10_SY63 )
             => SY65 )
            & ( ( sK5_SY38
                & ~ sK7_SY51
                & ~ sK8_SY56 )
             => sK2_SY11 )
            & ( ( sK1_L
                & sK3_SY21 )
             => SY65 )
            & ( ( sK6_SY45
                & ~ sK9_SY60
                & sK4_SY30
                & ~ sK7_SY51 )
             => ~ sK3_SY21 )
            & ( ( ~ sK4_SY30
                & ~ sK5_SY38 )
             => sK9_SY60 )
            & ( ( sK9_SY60
                & sK1_L
                & sK6_SY45 )
             => ~ sK3_SY21 )
            & ( ( sK5_SY38
                & sK6_SY45 )
             => ~ SY65 )
            & ( ( sK4_SY30
                & ~ sK9_SY60
                & ~ sK3_SY21 )
             => ~ sK10_SY63 )
            & ( ( sK7_SY51
                & ~ sK2_SY11
                & ~ sK8_SY56 )
             => SY65 )
            & ( ( sK4_SY30
                & sK10_SY63
                & ~ sK5_SY38 )
             => ~ SY65 )
            & ( ( sK5_SY38
                & ~ sK9_SY60
                & ~ sK3_SY21 )
             => sK4_SY30 ) )
         => ( ( sK6_SY45
              & sK1_L )
           => ( sK8_SY56
              & ~ sK10_SY63 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[12]) ).

thf(14,plain,
    ( ( ( ( ( sK1_L
            & sK2_SY11 )
         => sK3_SY21 )
        & ( ( sK4_SY30
            & ~ sK5_SY38 )
         => sK3_SY21 )
        & ( ( ~ sK9_SY60
            & sK7_SY51
            & sK3_SY21 )
         => sK8_SY56 )
        & ( ( ~ sK4_SY30
            & ~ sK2_SY11 )
         => sK5_SY38 )
        & ( ( sK9_SY60
            & sK10_SY63 )
         => sK11_SY65 )
        & ( ( sK5_SY38
            & ~ sK7_SY51
            & ~ sK8_SY56 )
         => sK2_SY11 )
        & ( ( sK1_L
            & sK3_SY21 )
         => sK11_SY65 )
        & ( ( sK6_SY45
            & ~ sK9_SY60
            & sK4_SY30
            & ~ sK7_SY51 )
         => ~ sK3_SY21 )
        & ( ( ~ sK4_SY30
            & ~ sK5_SY38 )
         => sK9_SY60 )
        & ( ( sK9_SY60
            & sK1_L
            & sK6_SY45 )
         => ~ sK3_SY21 )
        & ( ( sK5_SY38
            & sK6_SY45 )
         => ~ sK11_SY65 )
        & ( ( sK4_SY30
            & ~ sK9_SY60
            & ~ sK3_SY21 )
         => ~ sK10_SY63 )
        & ( ( sK7_SY51
            & ~ sK2_SY11
            & ~ sK8_SY56 )
         => sK11_SY65 )
        & ( ( sK4_SY30
            & sK10_SY63
            & ~ sK5_SY38 )
         => ~ sK11_SY65 )
        & ( ( sK5_SY38
            & ~ sK9_SY60
            & ~ sK3_SY21 )
         => sK4_SY30 ) )
     => ( ( sK6_SY45
          & sK1_L )
       => ( sK8_SY56
          & ~ sK10_SY63 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[13]) ).

thf(15,plain,
    ( ( ( sK1_L
        & sK2_SY11 )
     => sK3_SY21 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(16,plain,
    ( ( ( sK4_SY30
        & ~ sK5_SY38 )
     => sK3_SY21 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(17,plain,
    ( ( ( ~ sK9_SY60
        & sK7_SY51
        & sK3_SY21 )
     => sK8_SY56 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(18,plain,
    ( ( ( ~ sK4_SY30
        & ~ sK2_SY11 )
     => sK5_SY38 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(19,plain,
    ( ( ( sK9_SY60
        & sK10_SY63 )
     => sK11_SY65 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(20,plain,
    ( ( ( sK5_SY38
        & ~ sK7_SY51
        & ~ sK8_SY56 )
     => sK2_SY11 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(21,plain,
    ( ( ( sK1_L
        & sK3_SY21 )
     => sK11_SY65 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(22,plain,
    ( ( ( sK6_SY45
        & ~ sK9_SY60
        & sK4_SY30
        & ~ sK7_SY51 )
     => ~ sK3_SY21 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(23,plain,
    ( ( ( ~ sK4_SY30
        & ~ sK5_SY38 )
     => sK9_SY60 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(24,plain,
    ( ( ( sK9_SY60
        & sK1_L
        & sK6_SY45 )
     => ~ sK3_SY21 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(25,plain,
    ( ( ( sK5_SY38
        & sK6_SY45 )
     => ~ sK11_SY65 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(26,plain,
    ( ( ( sK4_SY30
        & ~ sK9_SY60
        & ~ sK3_SY21 )
     => ~ sK10_SY63 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(27,plain,
    ( ( ( sK7_SY51
        & ~ sK2_SY11
        & ~ sK8_SY56 )
     => sK11_SY65 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(28,plain,
    ( ( ( sK4_SY30
        & sK10_SY63
        & ~ sK5_SY38 )
     => ~ sK11_SY65 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(29,plain,
    ( ( ( sK5_SY38
        & ~ sK9_SY60
        & ~ sK3_SY21 )
     => sK4_SY30 )
    = $true ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(30,plain,
    sK6_SY45 = $true,
    inference(standard_cnf,[status(thm)],[14]) ).

thf(31,plain,
    sK1_L = $true,
    inference(standard_cnf,[status(thm)],[14]) ).

thf(32,plain,
    ( ( sK8_SY56
      & ~ sK10_SY63 )
    = $false ),
    inference(standard_cnf,[status(thm)],[14]) ).

thf(33,plain,
    sK8_SY56 = $false,
    inference(split_conjecture,[split_conjecture(split,[])],[32]) ).

thf(34,plain,
    ( ( ~ sK10_SY63 ) = $false ),
    inference(split_conjecture,[split_conjecture(split,[])],[32]) ).

thf(35,plain,
    ( ( ~ sK8_SY56 ) = $true ),
    inference(polarity_switch,[status(thm)],[33]) ).

thf(36,plain,
    sK10_SY63 = $true,
    inference(polarity_switch,[status(thm)],[34]) ).

thf(37,plain,
    ( ( ~ sK1_L
      | ~ sK2_SY11
      | sK3_SY21 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[15]) ).

thf(38,plain,
    ( ( ~ sK4_SY30
      | sK5_SY38
      | sK3_SY21 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[16]) ).

thf(39,plain,
    ( ( sK9_SY60
      | ~ sK7_SY51
      | ~ sK3_SY21
      | sK8_SY56 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[17]) ).

thf(40,plain,
    ( ( sK4_SY30
      | sK2_SY11
      | sK5_SY38 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[18]) ).

thf(41,plain,
    ( ( ~ sK10_SY63
      | ~ sK9_SY60
      | sK11_SY65 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[19]) ).

thf(42,plain,
    ( ( ~ sK5_SY38
      | sK7_SY51
      | sK8_SY56
      | sK2_SY11 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[20]) ).

thf(43,plain,
    ( ( ~ sK1_L
      | ~ sK3_SY21
      | sK11_SY65 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[21]) ).

thf(44,plain,
    ( ( ~ sK6_SY45
      | sK9_SY60
      | ~ sK4_SY30
      | sK7_SY51
      | ~ sK3_SY21 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[22]) ).

thf(45,plain,
    ( ( sK4_SY30
      | sK5_SY38
      | sK9_SY60 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[23]) ).

thf(46,plain,
    ( ( ~ sK1_L
      | ~ sK9_SY60
      | ~ sK6_SY45
      | ~ sK3_SY21 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[24]) ).

thf(47,plain,
    ( ( ~ sK5_SY38
      | ~ sK6_SY45
      | ~ sK11_SY65 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[25]) ).

thf(48,plain,
    ( ( ~ sK4_SY30
      | sK9_SY60
      | sK3_SY21
      | ~ sK10_SY63 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[26]) ).

thf(49,plain,
    ( ( ~ sK7_SY51
      | sK2_SY11
      | sK8_SY56
      | sK11_SY65 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[27]) ).

thf(50,plain,
    ( ( ~ sK10_SY63
      | ~ sK4_SY30
      | sK5_SY38
      | ~ sK11_SY65 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[28]) ).

thf(51,plain,
    ( ( ~ sK5_SY38
      | sK9_SY60
      | sK3_SY21
      | sK4_SY30 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[29]) ).

thf(52,plain,
    sK1_L = $true,
    inference(copy,[status(thm)],[31]) ).

thf(53,plain,
    sK6_SY45 = $true,
    inference(copy,[status(thm)],[30]) ).

thf(54,plain,
    ( ( ~ sK5_SY38
      | sK9_SY60
      | sK3_SY21
      | sK4_SY30 )
    = $true ),
    inference(copy,[status(thm)],[51]) ).

thf(55,plain,
    ( ( ~ sK10_SY63
      | ~ sK4_SY30
      | sK5_SY38
      | ~ sK11_SY65 )
    = $true ),
    inference(copy,[status(thm)],[50]) ).

thf(56,plain,
    ( ( ~ sK7_SY51
      | sK2_SY11
      | sK8_SY56
      | sK11_SY65 )
    = $true ),
    inference(copy,[status(thm)],[49]) ).

thf(57,plain,
    ( ( ~ sK4_SY30
      | sK9_SY60
      | sK3_SY21
      | ~ sK10_SY63 )
    = $true ),
    inference(copy,[status(thm)],[48]) ).

thf(58,plain,
    ( ( ~ sK5_SY38
      | ~ sK6_SY45
      | ~ sK11_SY65 )
    = $true ),
    inference(copy,[status(thm)],[47]) ).

thf(59,plain,
    ( ( ~ sK1_L
      | ~ sK9_SY60
      | ~ sK6_SY45
      | ~ sK3_SY21 )
    = $true ),
    inference(copy,[status(thm)],[46]) ).

thf(60,plain,
    ( ( sK4_SY30
      | sK5_SY38
      | sK9_SY60 )
    = $true ),
    inference(copy,[status(thm)],[45]) ).

thf(61,plain,
    ( ( ~ sK6_SY45
      | sK9_SY60
      | ~ sK4_SY30
      | sK7_SY51
      | ~ sK3_SY21 )
    = $true ),
    inference(copy,[status(thm)],[44]) ).

thf(62,plain,
    ( ( ~ sK1_L
      | ~ sK3_SY21
      | sK11_SY65 )
    = $true ),
    inference(copy,[status(thm)],[43]) ).

thf(63,plain,
    ( ( ~ sK5_SY38
      | sK7_SY51
      | sK8_SY56
      | sK2_SY11 )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(64,plain,
    ( ( ~ sK10_SY63
      | ~ sK9_SY60
      | sK11_SY65 )
    = $true ),
    inference(copy,[status(thm)],[41]) ).

thf(65,plain,
    ( ( sK4_SY30
      | sK2_SY11
      | sK5_SY38 )
    = $true ),
    inference(copy,[status(thm)],[40]) ).

thf(66,plain,
    ( ( sK9_SY60
      | ~ sK7_SY51
      | ~ sK3_SY21
      | sK8_SY56 )
    = $true ),
    inference(copy,[status(thm)],[39]) ).

thf(67,plain,
    ( ( ~ sK4_SY30
      | sK5_SY38
      | sK3_SY21 )
    = $true ),
    inference(copy,[status(thm)],[38]) ).

thf(68,plain,
    ( ( ~ sK1_L
      | ~ sK2_SY11
      | sK3_SY21 )
    = $true ),
    inference(copy,[status(thm)],[37]) ).

thf(69,plain,
    ( ( ~ sK8_SY56 ) = $true ),
    inference(copy,[status(thm)],[35]) ).

thf(70,plain,
    ( ( ( ~ sK5_SY38
        | sK9_SY60
        | sK3_SY21 )
      = $true )
    | ( sK4_SY30 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[54]) ).

thf(71,plain,
    ( ( ( ~ sK10_SY63
        | ~ sK4_SY30
        | sK5_SY38 )
      = $true )
    | ( ( ~ sK11_SY65 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[55]) ).

thf(72,plain,
    ( ( ( ~ sK7_SY51
        | sK2_SY11
        | sK8_SY56 )
      = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[56]) ).

thf(73,plain,
    ( ( ( ~ sK4_SY30
        | sK9_SY60
        | sK3_SY21 )
      = $true )
    | ( ( ~ sK10_SY63 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[57]) ).

thf(74,plain,
    ( ( ( ~ sK5_SY38
        | ~ sK6_SY45 )
      = $true )
    | ( ( ~ sK11_SY65 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[58]) ).

thf(75,plain,
    ( ( ( ~ sK1_L
        | ~ sK9_SY60
        | ~ sK6_SY45 )
      = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[59]) ).

thf(76,plain,
    ( ( ( sK4_SY30
        | sK5_SY38 )
      = $true )
    | ( sK9_SY60 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[60]) ).

thf(77,plain,
    ( ( ( ~ sK6_SY45
        | sK9_SY60
        | ~ sK4_SY30
        | sK7_SY51 )
      = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[61]) ).

thf(78,plain,
    ( ( ( ~ sK1_L
        | ~ sK3_SY21 )
      = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[62]) ).

thf(79,plain,
    ( ( ( ~ sK5_SY38
        | sK7_SY51
        | sK8_SY56 )
      = $true )
    | ( sK2_SY11 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[63]) ).

thf(80,plain,
    ( ( ( ~ sK10_SY63
        | ~ sK9_SY60 )
      = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[64]) ).

thf(81,plain,
    ( ( ( sK4_SY30
        | sK2_SY11 )
      = $true )
    | ( sK5_SY38 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[65]) ).

thf(82,plain,
    ( ( ( sK9_SY60
        | ~ sK7_SY51
        | ~ sK3_SY21 )
      = $true )
    | ( sK8_SY56 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[66]) ).

thf(83,plain,
    ( ( ( ~ sK4_SY30
        | sK5_SY38 )
      = $true )
    | ( sK3_SY21 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[67]) ).

thf(84,plain,
    ( ( ( ~ sK1_L
        | ~ sK2_SY11 )
      = $true )
    | ( sK3_SY21 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[68]) ).

thf(85,plain,
    sK8_SY56 = $false,
    inference(extcnf_not_pos,[status(thm)],[69]) ).

thf(86,plain,
    ( ( ( ~ sK5_SY38
        | sK9_SY60 )
      = $true )
    | ( sK3_SY21 = $true )
    | ( sK4_SY30 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[70]) ).

thf(87,plain,
    ( ( ( ~ sK10_SY63
        | ~ sK4_SY30 )
      = $true )
    | ( sK5_SY38 = $true )
    | ( ( ~ sK11_SY65 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[71]) ).

thf(88,plain,
    ( ( ( ~ sK7_SY51
        | sK2_SY11 )
      = $true )
    | ( sK8_SY56 = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[72]) ).

thf(89,plain,
    ( ( ( ~ sK4_SY30
        | sK9_SY60 )
      = $true )
    | ( sK3_SY21 = $true )
    | ( ( ~ sK10_SY63 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[73]) ).

thf(90,plain,
    ( ( ( ~ sK5_SY38 ) = $true )
    | ( ( ~ sK6_SY45 ) = $true )
    | ( ( ~ sK11_SY65 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[74]) ).

thf(91,plain,
    ( ( ( ~ sK1_L
        | ~ sK9_SY60 )
      = $true )
    | ( ( ~ sK6_SY45 ) = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[75]) ).

thf(92,plain,
    ( ( sK4_SY30 = $true )
    | ( sK5_SY38 = $true )
    | ( sK9_SY60 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[76]) ).

thf(93,plain,
    ( ( ( ~ sK6_SY45
        | sK9_SY60
        | ~ sK4_SY30 )
      = $true )
    | ( sK7_SY51 = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[77]) ).

thf(94,plain,
    ( ( ( ~ sK1_L ) = $true )
    | ( ( ~ sK3_SY21 ) = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[78]) ).

thf(95,plain,
    ( ( ( ~ sK5_SY38
        | sK7_SY51 )
      = $true )
    | ( sK8_SY56 = $true )
    | ( sK2_SY11 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[79]) ).

thf(96,plain,
    ( ( ( ~ sK10_SY63 ) = $true )
    | ( ( ~ sK9_SY60 ) = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[80]) ).

thf(97,plain,
    ( ( sK4_SY30 = $true )
    | ( sK2_SY11 = $true )
    | ( sK5_SY38 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[81]) ).

thf(98,plain,
    ( ( ( sK9_SY60
        | ~ sK7_SY51 )
      = $true )
    | ( ( ~ sK3_SY21 ) = $true )
    | ( sK8_SY56 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[82]) ).

thf(99,plain,
    ( ( ( ~ sK4_SY30 ) = $true )
    | ( sK5_SY38 = $true )
    | ( sK3_SY21 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[83]) ).

thf(100,plain,
    ( ( ( ~ sK1_L ) = $true )
    | ( ( ~ sK2_SY11 ) = $true )
    | ( sK3_SY21 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[84]) ).

thf(101,plain,
    ( ( ( ~ sK5_SY38 ) = $true )
    | ( sK9_SY60 = $true )
    | ( sK3_SY21 = $true )
    | ( sK4_SY30 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[86]) ).

thf(102,plain,
    ( ( ( ~ sK10_SY63 ) = $true )
    | ( ( ~ sK4_SY30 ) = $true )
    | ( sK5_SY38 = $true )
    | ( ( ~ sK11_SY65 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[87]) ).

thf(103,plain,
    ( ( ( ~ sK7_SY51 ) = $true )
    | ( sK2_SY11 = $true )
    | ( sK8_SY56 = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[88]) ).

thf(104,plain,
    ( ( ( ~ sK4_SY30 ) = $true )
    | ( sK9_SY60 = $true )
    | ( sK3_SY21 = $true )
    | ( ( ~ sK10_SY63 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[89]) ).

thf(105,plain,
    ( ( sK5_SY38 = $false )
    | ( ( ~ sK6_SY45 ) = $true )
    | ( ( ~ sK11_SY65 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[90]) ).

thf(106,plain,
    ( ( ( ~ sK1_L ) = $true )
    | ( ( ~ sK9_SY60 ) = $true )
    | ( ( ~ sK6_SY45 ) = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[91]) ).

thf(107,plain,
    ( ( ( ~ sK6_SY45
        | sK9_SY60 )
      = $true )
    | ( ( ~ sK4_SY30 ) = $true )
    | ( sK7_SY51 = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[93]) ).

thf(108,plain,
    ( ( sK1_L = $false )
    | ( ( ~ sK3_SY21 ) = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[94]) ).

thf(109,plain,
    ( ( ( ~ sK5_SY38 ) = $true )
    | ( sK7_SY51 = $true )
    | ( sK8_SY56 = $true )
    | ( sK2_SY11 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[95]) ).

thf(110,plain,
    ( ( sK10_SY63 = $false )
    | ( ( ~ sK9_SY60 ) = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[96]) ).

thf(111,plain,
    ( ( sK9_SY60 = $true )
    | ( ( ~ sK7_SY51 ) = $true )
    | ( ( ~ sK3_SY21 ) = $true )
    | ( sK8_SY56 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[98]) ).

thf(112,plain,
    ( ( sK4_SY30 = $false )
    | ( sK5_SY38 = $true )
    | ( sK3_SY21 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[99]) ).

thf(113,plain,
    ( ( sK1_L = $false )
    | ( ( ~ sK2_SY11 ) = $true )
    | ( sK3_SY21 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[100]) ).

thf(114,plain,
    ( ( sK5_SY38 = $false )
    | ( sK9_SY60 = $true )
    | ( sK3_SY21 = $true )
    | ( sK4_SY30 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[101]) ).

thf(115,plain,
    ( ( sK10_SY63 = $false )
    | ( ( ~ sK4_SY30 ) = $true )
    | ( sK5_SY38 = $true )
    | ( ( ~ sK11_SY65 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[102]) ).

thf(116,plain,
    ( ( sK7_SY51 = $false )
    | ( sK2_SY11 = $true )
    | ( sK8_SY56 = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[103]) ).

thf(117,plain,
    ( ( sK4_SY30 = $false )
    | ( sK9_SY60 = $true )
    | ( sK3_SY21 = $true )
    | ( ( ~ sK10_SY63 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[104]) ).

thf(118,plain,
    ( ( sK6_SY45 = $false )
    | ( sK5_SY38 = $false )
    | ( ( ~ sK11_SY65 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[105]) ).

thf(119,plain,
    ( ( sK1_L = $false )
    | ( ( ~ sK9_SY60 ) = $true )
    | ( ( ~ sK6_SY45 ) = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[106]) ).

thf(120,plain,
    ( ( ( ~ sK6_SY45 ) = $true )
    | ( sK9_SY60 = $true )
    | ( ( ~ sK4_SY30 ) = $true )
    | ( sK7_SY51 = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[107]) ).

thf(121,plain,
    ( ( sK3_SY21 = $false )
    | ( sK1_L = $false )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[108]) ).

thf(122,plain,
    ( ( sK5_SY38 = $false )
    | ( sK7_SY51 = $true )
    | ( sK8_SY56 = $true )
    | ( sK2_SY11 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[109]) ).

thf(123,plain,
    ( ( sK9_SY60 = $false )
    | ( sK10_SY63 = $false )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[110]) ).

thf(124,plain,
    ( ( sK7_SY51 = $false )
    | ( sK9_SY60 = $true )
    | ( ( ~ sK3_SY21 ) = $true )
    | ( sK8_SY56 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[111]) ).

thf(125,plain,
    ( ( sK2_SY11 = $false )
    | ( sK1_L = $false )
    | ( sK3_SY21 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[113]) ).

thf(126,plain,
    ( ( sK4_SY30 = $false )
    | ( sK10_SY63 = $false )
    | ( sK5_SY38 = $true )
    | ( ( ~ sK11_SY65 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[115]) ).

thf(127,plain,
    ( ( sK10_SY63 = $false )
    | ( sK3_SY21 = $true )
    | ( sK9_SY60 = $true )
    | ( sK4_SY30 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[117]) ).

thf(128,plain,
    ( ( sK11_SY65 = $false )
    | ( sK5_SY38 = $false )
    | ( sK6_SY45 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[118]) ).

thf(129,plain,
    ( ( sK9_SY60 = $false )
    | ( sK1_L = $false )
    | ( ( ~ sK6_SY45 ) = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[119]) ).

thf(130,plain,
    ( ( sK6_SY45 = $false )
    | ( sK9_SY60 = $true )
    | ( ( ~ sK4_SY30 ) = $true )
    | ( sK7_SY51 = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[120]) ).

thf(131,plain,
    ( ( sK3_SY21 = $false )
    | ( sK9_SY60 = $true )
    | ( sK7_SY51 = $false )
    | ( sK8_SY56 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[124]) ).

thf(132,plain,
    ( ( sK11_SY65 = $false )
    | ( sK5_SY38 = $true )
    | ( sK10_SY63 = $false )
    | ( sK4_SY30 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[126]) ).

thf(133,plain,
    ( ( sK6_SY45 = $false )
    | ( sK1_L = $false )
    | ( sK9_SY60 = $false )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[129]) ).

thf(134,plain,
    ( ( sK4_SY30 = $false )
    | ( sK9_SY60 = $true )
    | ( sK6_SY45 = $false )
    | ( sK7_SY51 = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[130]) ).

thf(135,plain,
    ( ( sK3_SY21 = $false )
    | ( sK9_SY60 = $false )
    | ( sK1_L = $false )
    | ( sK6_SY45 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[133]) ).

thf(136,plain,
    ( ( sK3_SY21 = $false )
    | ( sK7_SY51 = $true )
    | ( sK6_SY45 = $false )
    | ( sK9_SY60 = $true )
    | ( sK4_SY30 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[134]) ).

thf(137,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[52,136,135,132,131,128,127,125,123,122,121,116,114,112,97,92,85,53]) ).

thf(138,plain,
    sK1_L = $true,
    inference(copy,[status(thm)],[31]) ).

thf(139,plain,
    sK6_SY45 = $true,
    inference(copy,[status(thm)],[30]) ).

thf(140,plain,
    ( ( ~ sK5_SY38
      | sK9_SY60
      | sK3_SY21
      | sK4_SY30 )
    = $true ),
    inference(copy,[status(thm)],[51]) ).

thf(141,plain,
    ( ( ~ sK10_SY63
      | ~ sK4_SY30
      | sK5_SY38
      | ~ sK11_SY65 )
    = $true ),
    inference(copy,[status(thm)],[50]) ).

thf(142,plain,
    ( ( ~ sK7_SY51
      | sK2_SY11
      | sK8_SY56
      | sK11_SY65 )
    = $true ),
    inference(copy,[status(thm)],[49]) ).

thf(143,plain,
    ( ( ~ sK4_SY30
      | sK9_SY60
      | sK3_SY21
      | ~ sK10_SY63 )
    = $true ),
    inference(copy,[status(thm)],[48]) ).

thf(144,plain,
    ( ( ~ sK5_SY38
      | ~ sK6_SY45
      | ~ sK11_SY65 )
    = $true ),
    inference(copy,[status(thm)],[47]) ).

thf(145,plain,
    ( ( ~ sK1_L
      | ~ sK9_SY60
      | ~ sK6_SY45
      | ~ sK3_SY21 )
    = $true ),
    inference(copy,[status(thm)],[46]) ).

thf(146,plain,
    ( ( sK4_SY30
      | sK5_SY38
      | sK9_SY60 )
    = $true ),
    inference(copy,[status(thm)],[45]) ).

thf(147,plain,
    ( ( ~ sK6_SY45
      | sK9_SY60
      | ~ sK4_SY30
      | sK7_SY51
      | ~ sK3_SY21 )
    = $true ),
    inference(copy,[status(thm)],[44]) ).

thf(148,plain,
    ( ( ~ sK1_L
      | ~ sK3_SY21
      | sK11_SY65 )
    = $true ),
    inference(copy,[status(thm)],[43]) ).

thf(149,plain,
    ( ( ~ sK5_SY38
      | sK7_SY51
      | sK8_SY56
      | sK2_SY11 )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(150,plain,
    ( ( ~ sK10_SY63
      | ~ sK9_SY60
      | sK11_SY65 )
    = $true ),
    inference(copy,[status(thm)],[41]) ).

thf(151,plain,
    ( ( sK4_SY30
      | sK2_SY11
      | sK5_SY38 )
    = $true ),
    inference(copy,[status(thm)],[40]) ).

thf(152,plain,
    ( ( sK9_SY60
      | ~ sK7_SY51
      | ~ sK3_SY21
      | sK8_SY56 )
    = $true ),
    inference(copy,[status(thm)],[39]) ).

thf(153,plain,
    ( ( ~ sK4_SY30
      | sK5_SY38
      | sK3_SY21 )
    = $true ),
    inference(copy,[status(thm)],[38]) ).

thf(154,plain,
    ( ( ~ sK1_L
      | ~ sK2_SY11
      | sK3_SY21 )
    = $true ),
    inference(copy,[status(thm)],[37]) ).

thf(155,plain,
    sK10_SY63 = $true,
    inference(copy,[status(thm)],[36]) ).

thf(156,plain,
    ( ( ( ~ sK5_SY38
        | sK9_SY60
        | sK3_SY21 )
      = $true )
    | ( sK4_SY30 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[140]) ).

thf(157,plain,
    ( ( ( ~ sK10_SY63
        | ~ sK4_SY30
        | sK5_SY38 )
      = $true )
    | ( ( ~ sK11_SY65 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[141]) ).

thf(158,plain,
    ( ( ( ~ sK7_SY51
        | sK2_SY11
        | sK8_SY56 )
      = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[142]) ).

thf(159,plain,
    ( ( ( ~ sK4_SY30
        | sK9_SY60
        | sK3_SY21 )
      = $true )
    | ( ( ~ sK10_SY63 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[143]) ).

thf(160,plain,
    ( ( ( ~ sK5_SY38
        | ~ sK6_SY45 )
      = $true )
    | ( ( ~ sK11_SY65 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[144]) ).

thf(161,plain,
    ( ( ( ~ sK1_L
        | ~ sK9_SY60
        | ~ sK6_SY45 )
      = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[145]) ).

thf(162,plain,
    ( ( ( sK4_SY30
        | sK5_SY38 )
      = $true )
    | ( sK9_SY60 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[146]) ).

thf(163,plain,
    ( ( ( ~ sK6_SY45
        | sK9_SY60
        | ~ sK4_SY30
        | sK7_SY51 )
      = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[147]) ).

thf(164,plain,
    ( ( ( ~ sK1_L
        | ~ sK3_SY21 )
      = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[148]) ).

thf(165,plain,
    ( ( ( ~ sK5_SY38
        | sK7_SY51
        | sK8_SY56 )
      = $true )
    | ( sK2_SY11 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[149]) ).

thf(166,plain,
    ( ( ( ~ sK10_SY63
        | ~ sK9_SY60 )
      = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[150]) ).

thf(167,plain,
    ( ( ( sK4_SY30
        | sK2_SY11 )
      = $true )
    | ( sK5_SY38 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[151]) ).

thf(168,plain,
    ( ( ( sK9_SY60
        | ~ sK7_SY51
        | ~ sK3_SY21 )
      = $true )
    | ( sK8_SY56 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[152]) ).

thf(169,plain,
    ( ( ( ~ sK4_SY30
        | sK5_SY38 )
      = $true )
    | ( sK3_SY21 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[153]) ).

thf(170,plain,
    ( ( ( ~ sK1_L
        | ~ sK2_SY11 )
      = $true )
    | ( sK3_SY21 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[154]) ).

thf(171,plain,
    ( ( ( ~ sK5_SY38
        | sK9_SY60 )
      = $true )
    | ( sK3_SY21 = $true )
    | ( sK4_SY30 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[156]) ).

thf(172,plain,
    ( ( ( ~ sK10_SY63
        | ~ sK4_SY30 )
      = $true )
    | ( sK5_SY38 = $true )
    | ( ( ~ sK11_SY65 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[157]) ).

thf(173,plain,
    ( ( ( ~ sK7_SY51
        | sK2_SY11 )
      = $true )
    | ( sK8_SY56 = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[158]) ).

thf(174,plain,
    ( ( ( ~ sK4_SY30
        | sK9_SY60 )
      = $true )
    | ( sK3_SY21 = $true )
    | ( ( ~ sK10_SY63 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[159]) ).

thf(175,plain,
    ( ( ( ~ sK5_SY38 ) = $true )
    | ( ( ~ sK6_SY45 ) = $true )
    | ( ( ~ sK11_SY65 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[160]) ).

thf(176,plain,
    ( ( ( ~ sK1_L
        | ~ sK9_SY60 )
      = $true )
    | ( ( ~ sK6_SY45 ) = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[161]) ).

thf(177,plain,
    ( ( sK4_SY30 = $true )
    | ( sK5_SY38 = $true )
    | ( sK9_SY60 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[162]) ).

thf(178,plain,
    ( ( ( ~ sK6_SY45
        | sK9_SY60
        | ~ sK4_SY30 )
      = $true )
    | ( sK7_SY51 = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[163]) ).

thf(179,plain,
    ( ( ( ~ sK1_L ) = $true )
    | ( ( ~ sK3_SY21 ) = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[164]) ).

thf(180,plain,
    ( ( ( ~ sK5_SY38
        | sK7_SY51 )
      = $true )
    | ( sK8_SY56 = $true )
    | ( sK2_SY11 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[165]) ).

thf(181,plain,
    ( ( ( ~ sK10_SY63 ) = $true )
    | ( ( ~ sK9_SY60 ) = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[166]) ).

thf(182,plain,
    ( ( sK4_SY30 = $true )
    | ( sK2_SY11 = $true )
    | ( sK5_SY38 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[167]) ).

thf(183,plain,
    ( ( ( sK9_SY60
        | ~ sK7_SY51 )
      = $true )
    | ( ( ~ sK3_SY21 ) = $true )
    | ( sK8_SY56 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[168]) ).

thf(184,plain,
    ( ( ( ~ sK4_SY30 ) = $true )
    | ( sK5_SY38 = $true )
    | ( sK3_SY21 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[169]) ).

thf(185,plain,
    ( ( ( ~ sK1_L ) = $true )
    | ( ( ~ sK2_SY11 ) = $true )
    | ( sK3_SY21 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[170]) ).

thf(186,plain,
    ( ( ( ~ sK5_SY38 ) = $true )
    | ( sK9_SY60 = $true )
    | ( sK3_SY21 = $true )
    | ( sK4_SY30 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[171]) ).

thf(187,plain,
    ( ( ( ~ sK10_SY63 ) = $true )
    | ( ( ~ sK4_SY30 ) = $true )
    | ( sK5_SY38 = $true )
    | ( ( ~ sK11_SY65 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[172]) ).

thf(188,plain,
    ( ( ( ~ sK7_SY51 ) = $true )
    | ( sK2_SY11 = $true )
    | ( sK8_SY56 = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[173]) ).

thf(189,plain,
    ( ( ( ~ sK4_SY30 ) = $true )
    | ( sK9_SY60 = $true )
    | ( sK3_SY21 = $true )
    | ( ( ~ sK10_SY63 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[174]) ).

thf(190,plain,
    ( ( sK5_SY38 = $false )
    | ( ( ~ sK6_SY45 ) = $true )
    | ( ( ~ sK11_SY65 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[175]) ).

thf(191,plain,
    ( ( ( ~ sK1_L ) = $true )
    | ( ( ~ sK9_SY60 ) = $true )
    | ( ( ~ sK6_SY45 ) = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[176]) ).

thf(192,plain,
    ( ( ( ~ sK6_SY45
        | sK9_SY60 )
      = $true )
    | ( ( ~ sK4_SY30 ) = $true )
    | ( sK7_SY51 = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[178]) ).

thf(193,plain,
    ( ( sK1_L = $false )
    | ( ( ~ sK3_SY21 ) = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[179]) ).

thf(194,plain,
    ( ( ( ~ sK5_SY38 ) = $true )
    | ( sK7_SY51 = $true )
    | ( sK8_SY56 = $true )
    | ( sK2_SY11 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[180]) ).

thf(195,plain,
    ( ( sK10_SY63 = $false )
    | ( ( ~ sK9_SY60 ) = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[181]) ).

thf(196,plain,
    ( ( sK9_SY60 = $true )
    | ( ( ~ sK7_SY51 ) = $true )
    | ( ( ~ sK3_SY21 ) = $true )
    | ( sK8_SY56 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[183]) ).

thf(197,plain,
    ( ( sK4_SY30 = $false )
    | ( sK5_SY38 = $true )
    | ( sK3_SY21 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[184]) ).

thf(198,plain,
    ( ( sK1_L = $false )
    | ( ( ~ sK2_SY11 ) = $true )
    | ( sK3_SY21 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[185]) ).

thf(199,plain,
    ( ( sK5_SY38 = $false )
    | ( sK9_SY60 = $true )
    | ( sK3_SY21 = $true )
    | ( sK4_SY30 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[186]) ).

thf(200,plain,
    ( ( sK10_SY63 = $false )
    | ( ( ~ sK4_SY30 ) = $true )
    | ( sK5_SY38 = $true )
    | ( ( ~ sK11_SY65 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[187]) ).

thf(201,plain,
    ( ( sK7_SY51 = $false )
    | ( sK2_SY11 = $true )
    | ( sK8_SY56 = $true )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[188]) ).

thf(202,plain,
    ( ( sK4_SY30 = $false )
    | ( sK9_SY60 = $true )
    | ( sK3_SY21 = $true )
    | ( ( ~ sK10_SY63 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[189]) ).

thf(203,plain,
    ( ( sK6_SY45 = $false )
    | ( sK5_SY38 = $false )
    | ( ( ~ sK11_SY65 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[190]) ).

thf(204,plain,
    ( ( sK1_L = $false )
    | ( ( ~ sK9_SY60 ) = $true )
    | ( ( ~ sK6_SY45 ) = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[191]) ).

thf(205,plain,
    ( ( ( ~ sK6_SY45 ) = $true )
    | ( sK9_SY60 = $true )
    | ( ( ~ sK4_SY30 ) = $true )
    | ( sK7_SY51 = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[192]) ).

thf(206,plain,
    ( ( sK3_SY21 = $false )
    | ( sK1_L = $false )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[193]) ).

thf(207,plain,
    ( ( sK5_SY38 = $false )
    | ( sK7_SY51 = $true )
    | ( sK8_SY56 = $true )
    | ( sK2_SY11 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[194]) ).

thf(208,plain,
    ( ( sK9_SY60 = $false )
    | ( sK10_SY63 = $false )
    | ( sK11_SY65 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[195]) ).

thf(209,plain,
    ( ( sK7_SY51 = $false )
    | ( sK9_SY60 = $true )
    | ( ( ~ sK3_SY21 ) = $true )
    | ( sK8_SY56 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[196]) ).

thf(210,plain,
    ( ( sK2_SY11 = $false )
    | ( sK1_L = $false )
    | ( sK3_SY21 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[198]) ).

thf(211,plain,
    ( ( sK4_SY30 = $false )
    | ( sK10_SY63 = $false )
    | ( sK5_SY38 = $true )
    | ( ( ~ sK11_SY65 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[200]) ).

thf(212,plain,
    ( ( sK10_SY63 = $false )
    | ( sK3_SY21 = $true )
    | ( sK9_SY60 = $true )
    | ( sK4_SY30 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[202]) ).

thf(213,plain,
    ( ( sK11_SY65 = $false )
    | ( sK5_SY38 = $false )
    | ( sK6_SY45 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[203]) ).

thf(214,plain,
    ( ( sK9_SY60 = $false )
    | ( sK1_L = $false )
    | ( ( ~ sK6_SY45 ) = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[204]) ).

thf(215,plain,
    ( ( sK6_SY45 = $false )
    | ( sK9_SY60 = $true )
    | ( ( ~ sK4_SY30 ) = $true )
    | ( sK7_SY51 = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[205]) ).

thf(216,plain,
    ( ( sK3_SY21 = $false )
    | ( sK9_SY60 = $true )
    | ( sK7_SY51 = $false )
    | ( sK8_SY56 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[209]) ).

thf(217,plain,
    ( ( sK11_SY65 = $false )
    | ( sK5_SY38 = $true )
    | ( sK10_SY63 = $false )
    | ( sK4_SY30 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[211]) ).

thf(218,plain,
    ( ( sK6_SY45 = $false )
    | ( sK1_L = $false )
    | ( sK9_SY60 = $false )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[214]) ).

thf(219,plain,
    ( ( sK4_SY30 = $false )
    | ( sK9_SY60 = $true )
    | ( sK6_SY45 = $false )
    | ( sK7_SY51 = $true )
    | ( ( ~ sK3_SY21 ) = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[215]) ).

thf(220,plain,
    ( ( sK3_SY21 = $false )
    | ( sK9_SY60 = $false )
    | ( sK1_L = $false )
    | ( sK6_SY45 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[218]) ).

thf(221,plain,
    ( ( sK3_SY21 = $false )
    | ( sK7_SY51 = $true )
    | ( sK6_SY45 = $false )
    | ( sK9_SY60 = $true )
    | ( sK4_SY30 = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[219]) ).

thf(222,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[138,221,220,217,216,213,212,210,208,207,206,201,199,197,182,177,155,139]) ).

thf(223,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[222,137]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYO180^5 : 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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.19  % Computer : n016.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Tue Oct  6 17:38:00 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.29  
% 0.46/0.29   No.of.Axioms: 0
% 0.46/0.29  
% 0.46/0.29   Length.of.Defs: 0
% 0.46/0.29  
% 0.46/0.29   Contains.Choice.Funs: false
% 0.46/0.29  .....
% 0.46/0.29  
% 0.46/0.29  ********************************
% 0.46/0.29  *   All subproblems solved!    *
% 0.46/0.29  ********************************
% 0.46/0.29  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:17,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:222,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 0.46/0.29  
% 0.46/0.29  %**** Beginning of derivation protocol ****
% 0.46/0.29  % SZS output start CNFRefutation
% See solution above
% 0.46/0.29  
% 0.46/0.29  %**** End of derivation protocol ****
% 0.46/0.29  %**** no. of clauses in derivation: 223 ****
% 0.46/0.29  %**** clause counter: 222 ****
% 0.46/0.29  
% 0.46/0.29  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:17,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:222,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------