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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU903^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 Sep 30 08:31:54 AM UTC 2026

% Result   : Theorem 0.23s 0.30s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  137 (  13 unt;   0 typ;  11 def)
%            Number of atoms       :  815 ( 247 equ;   0 cnn)
%            Maximal formula atoms :   24 (   5 avg)
%            Number of connectives : 1235 ( 216   ~; 262   |;  88   &; 606   @)
%                                         (  11 <=>;  52  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   56 (  56   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  24 usr;  17 con; 0-2 aty)
%            Number of variables   :  154 (   0 sgn 118   !;  36   ?; 154   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    g: $tType ).

thf(type_def_6,type,
    b: $tType ).

thf(type_def_7,type,
    a: $tType ).

thf(type_def_8,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_3,type,
    sK0: b > b ).

thf(func_def_4,type,
    sK1: g > $o ).

thf(func_def_5,type,
    sK2: b > a ).

thf(func_def_6,type,
    sK3: a > $o ).

thf(func_def_7,type,
    sK4: b > $o ).

thf(func_def_8,type,
    sK5: g > b ).

thf(func_def_9,type,
    sK6: a > a ).

thf(func_def_10,type,
    sK7: g > g ).

thf(func_def_11,type,
    sK8: a ).

thf(func_def_12,type,
    sK9: g ).

thf(func_def_13,type,
    sK10: g ).

thf(func_def_14,type,
    sK11: g ).

thf(f1,conjecture,
    ! [X3: g > g,X1: b > a,X0: g > b,X4: b > $o,X2: g > $o,X5: b > b,X6: a > $o,X7: a > a] :
      ( ( ! [X8: b] :
            ( ( X4 @ X8 )
           => ( X4 @ ( X5 @ X8 ) ) )
        & ! [X8: b] :
            ( ( X4 @ X8 )
           => ( ( X1 @ ( X5 @ X8 ) )
              = ( X7 @ ( X1 @ X8 ) ) ) )
        & ! [X8: b] :
            ( ( X4 @ X8 )
           => ( X6 @ ( X1 @ X8 ) ) )
        & ! [X8: g] :
            ( ( X2 @ X8 )
           => ( X4 @ ( X0 @ X8 ) ) )
        & ! [X8: b] :
            ( ( X4 @ X8 )
           => ( X4 @ ( X5 @ X8 ) ) )
        & ! [X8: g] :
            ( ( X2 @ X8 )
           => ( X2 @ ( X3 @ X8 ) ) )
        & ! [X8: g] :
            ( ( X2 @ X8 )
           => ( ( X0 @ ( X3 @ X8 ) )
              = ( X5 @ ( X0 @ X8 ) ) ) )
        & ! [X8: a] :
            ( ( X6 @ X8 )
           => ( X6 @ ( X7 @ X8 ) ) ) )
     => ( ! [X8: a] :
            ( ( X6 @ X8 )
           => ( X6 @ ( X7 @ X8 ) ) )
        & ! [X8: g] :
            ( ( X2 @ X8 )
           => ( X2 @ ( X3 @ X8 ) ) )
        & ! [X8: g] :
            ( ( X2 @ X8 )
           => ( ( X1 @ ( X0 @ ( X3 @ X8 ) ) )
              = ( X7 @ ( X1 @ ( X0 @ X8 ) ) ) ) )
        & ! [X8: g] :
            ( ( X2 @ X8 )
           => ( X6 @ ( X1 @ ( X0 @ X8 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM131_pme) ).

thf(f2,negated_conjecture,
    ~ ! [X3: g > g,X1: b > a,X0: g > b,X4: b > $o,X2: g > $o,X5: b > b,X6: a > $o,X7: a > a] :
        ( ( ! [X8: b] :
              ( ( X4 @ X8 )
             => ( X4 @ ( X5 @ X8 ) ) )
          & ! [X8: b] :
              ( ( X4 @ X8 )
             => ( ( X1 @ ( X5 @ X8 ) )
                = ( X7 @ ( X1 @ X8 ) ) ) )
          & ! [X8: b] :
              ( ( X4 @ X8 )
             => ( X6 @ ( X1 @ X8 ) ) )
          & ! [X8: g] :
              ( ( X2 @ X8 )
             => ( X4 @ ( X0 @ X8 ) ) )
          & ! [X8: b] :
              ( ( X4 @ X8 )
             => ( X4 @ ( X5 @ X8 ) ) )
          & ! [X8: g] :
              ( ( X2 @ X8 )
             => ( X2 @ ( X3 @ X8 ) ) )
          & ! [X8: g] :
              ( ( X2 @ X8 )
             => ( ( X0 @ ( X3 @ X8 ) )
                = ( X5 @ ( X0 @ X8 ) ) ) )
          & ! [X8: a] :
              ( ( X6 @ X8 )
             => ( X6 @ ( X7 @ X8 ) ) ) )
       => ( ! [X8: a] :
              ( ( X6 @ X8 )
             => ( X6 @ ( X7 @ X8 ) ) )
          & ! [X8: g] :
              ( ( X2 @ X8 )
             => ( X2 @ ( X3 @ X8 ) ) )
          & ! [X8: g] :
              ( ( X2 @ X8 )
             => ( ( X1 @ ( X0 @ ( X3 @ X8 ) ) )
                = ( X7 @ ( X1 @ ( X0 @ X8 ) ) ) ) )
          & ! [X8: g] :
              ( ( X2 @ X8 )
             => ( X6 @ ( X1 @ ( X0 @ X8 ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

thf(f3,plain,
    ~ ! [X0: g > g,X1: b > a,X2: g > b,X3: b > $o,X4: g > $o,X5: b > b,X6: a > $o,X7: a > a] :
        ( ( ! [X8: b] :
              ( ( X3 @ X8 )
             => ( X3 @ ( X5 @ X8 ) ) )
          & ! [X9: b] :
              ( ( X3 @ X9 )
             => ( ( X7 @ ( X1 @ X9 ) )
                = ( X1 @ ( X5 @ X9 ) ) ) )
          & ! [X10: b] :
              ( ( X3 @ X10 )
             => ( X6 @ ( X1 @ X10 ) ) )
          & ! [X11: g] :
              ( ( X4 @ X11 )
             => ( X3 @ ( X2 @ X11 ) ) )
          & ! [X12: b] :
              ( ( X3 @ X12 )
             => ( X3 @ ( X5 @ X12 ) ) )
          & ! [X13: g] :
              ( ( X4 @ X13 )
             => ( X4 @ ( X0 @ X13 ) ) )
          & ! [X14: g] :
              ( ( X4 @ X14 )
             => ( ( X2 @ ( X0 @ X14 ) )
                = ( X5 @ ( X2 @ X14 ) ) ) )
          & ! [X15: a] :
              ( ( X6 @ X15 )
             => ( X6 @ ( X7 @ X15 ) ) ) )
       => ( ! [X16: a] :
              ( ( X6 @ X16 )
             => ( X6 @ ( X7 @ X16 ) ) )
          & ! [X17: g] :
              ( ( X4 @ X17 )
             => ( X4 @ ( X0 @ X17 ) ) )
          & ! [X18: g] :
              ( ( X4 @ X18 )
             => ( ( X1 @ ( X2 @ ( X0 @ X18 ) ) )
                = ( X7 @ ( X1 @ ( X2 @ X18 ) ) ) ) )
          & ! [X19: g] :
              ( ( X4 @ X19 )
             => ( X6 @ ( X1 @ ( X2 @ X19 ) ) ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f4,plain,
    ~ ! [X6: a > $o,X0: g > g,X4: g > $o,X5: b > b,X7: a > a,X3: b > $o,X1: b > a,X2: g > b] :
        ( ( ! [X9: b] :
              ( ( ( X3 @ X9 )
                = $true )
             => ( ( X7 @ ( X1 @ X9 ) )
                = ( X1 @ ( X5 @ X9 ) ) ) )
          & ! [X8: b] :
              ( ( ( X3 @ X8 )
                = $true )
             => ( ( X3 @ ( X5 @ X8 ) )
                = $true ) )
          & ! [X15: a] :
              ( ( ( X6 @ X15 )
                = $true )
             => ( ( X6 @ ( X7 @ X15 ) )
                = $true ) )
          & ! [X12: b] :
              ( ( ( X3 @ X12 )
                = $true )
             => ( ( X3 @ ( X5 @ X12 ) )
                = $true ) )
          & ! [X10: b] :
              ( ( $true
                = ( X3 @ X10 ) )
             => ( ( X6 @ ( X1 @ X10 ) )
                = $true ) )
          & ! [X14: g] :
              ( ( ( X4 @ X14 )
                = $true )
             => ( ( X2 @ ( X0 @ X14 ) )
                = ( X5 @ ( X2 @ X14 ) ) ) )
          & ! [X13: g] :
              ( ( ( X4 @ X13 )
                = $true )
             => ( $true
                = ( X4 @ ( X0 @ X13 ) ) ) )
          & ! [X11: g] :
              ( ( ( X4 @ X11 )
                = $true )
             => ( ( X3 @ ( X2 @ X11 ) )
                = $true ) ) )
       => ( ! [X16: a] :
              ( ( ( X6 @ X16 )
                = $true )
             => ( ( X6 @ ( X7 @ X16 ) )
                = $true ) )
          & ! [X18: g] :
              ( ( ( X4 @ X18 )
                = $true )
             => ( ( X1 @ ( X2 @ ( X0 @ X18 ) ) )
                = ( X7 @ ( X1 @ ( X2 @ X18 ) ) ) ) )
          & ! [X19: g] :
              ( ( ( X4 @ X19 )
                = $true )
             => ( $true
                = ( X6 @ ( X1 @ ( X2 @ X19 ) ) ) ) )
          & ! [X17: g] :
              ( ( ( X4 @ X17 )
                = $true )
             => ( $true
                = ( X4 @ ( X0 @ X17 ) ) ) ) ) ),
    inference(fool_elimination,[],[f3]) ).

thf(f5,plain,
    ? [X6: a > $o,X0: g > g,X4: g > $o,X5: b > b,X7: a > a,X3: b > $o,X1: b > a,X2: g > b] :
      ( ( ? [X16: a] :
            ( ( ( X6 @ ( X7 @ X16 ) )
             != $true )
            & ( ( X6 @ X16 )
              = $true ) )
        | ? [X19: g] :
            ( ( ( X4 @ X19 )
              = $true )
            & ( $true
             != ( X6 @ ( X1 @ ( X2 @ X19 ) ) ) ) )
        | ? [X17: g] :
            ( ( ( X4 @ X17 )
              = $true )
            & ( $true
             != ( X4 @ ( X0 @ X17 ) ) ) )
        | ? [X18: g] :
            ( ( ( X4 @ X18 )
              = $true )
            & ( ( X1 @ ( X2 @ ( X0 @ X18 ) ) )
             != ( X7 @ ( X1 @ ( X2 @ X18 ) ) ) ) ) )
      & ! [X9: b] :
          ( ( ( X7 @ ( X1 @ X9 ) )
            = ( X1 @ ( X5 @ X9 ) ) )
          | ( ( X3 @ X9 )
           != $true ) )
      & ! [X8: b] :
          ( ( ( X3 @ ( X5 @ X8 ) )
            = $true )
          | ( ( X3 @ X8 )
           != $true ) )
      & ! [X15: a] :
          ( ( ( X6 @ X15 )
           != $true )
          | ( ( X6 @ ( X7 @ X15 ) )
            = $true ) )
      & ! [X12: b] :
          ( ( ( X3 @ X12 )
           != $true )
          | ( ( X3 @ ( X5 @ X12 ) )
            = $true ) )
      & ! [X10: b] :
          ( ( ( X6 @ ( X1 @ X10 ) )
            = $true )
          | ( $true
           != ( X3 @ X10 ) ) )
      & ! [X14: g] :
          ( ( ( X2 @ ( X0 @ X14 ) )
            = ( X5 @ ( X2 @ X14 ) ) )
          | ( ( X4 @ X14 )
           != $true ) )
      & ! [X13: g] :
          ( ( $true
            = ( X4 @ ( X0 @ X13 ) ) )
          | ( ( X4 @ X13 )
           != $true ) )
      & ! [X11: g] :
          ( ( ( X3 @ ( X2 @ X11 ) )
            = $true )
          | ( ( X4 @ X11 )
           != $true ) ) ),
    inference(ennf_transformation,[],[f4]) ).

thf(f6,plain,
    ? [X5: b > b,X4: g > $o,X1: b > a,X6: a > $o,X3: b > $o,X2: g > b,X7: a > a,X0: g > g] :
      ( ! [X15: a] :
          ( ( ( X6 @ X15 )
           != $true )
          | ( ( X6 @ ( X7 @ X15 ) )
            = $true ) )
      & ! [X8: b] :
          ( ( ( X3 @ ( X5 @ X8 ) )
            = $true )
          | ( ( X3 @ X8 )
           != $true ) )
      & ! [X14: g] :
          ( ( ( X2 @ ( X0 @ X14 ) )
            = ( X5 @ ( X2 @ X14 ) ) )
          | ( ( X4 @ X14 )
           != $true ) )
      & ! [X9: b] :
          ( ( ( X7 @ ( X1 @ X9 ) )
            = ( X1 @ ( X5 @ X9 ) ) )
          | ( ( X3 @ X9 )
           != $true ) )
      & ! [X12: b] :
          ( ( ( X3 @ X12 )
           != $true )
          | ( ( X3 @ ( X5 @ X12 ) )
            = $true ) )
      & ( ? [X16: a] :
            ( ( ( X6 @ ( X7 @ X16 ) )
             != $true )
            & ( ( X6 @ X16 )
              = $true ) )
        | ? [X19: g] :
            ( ( ( X4 @ X19 )
              = $true )
            & ( $true
             != ( X6 @ ( X1 @ ( X2 @ X19 ) ) ) ) )
        | ? [X17: g] :
            ( ( ( X4 @ X17 )
              = $true )
            & ( $true
             != ( X4 @ ( X0 @ X17 ) ) ) )
        | ? [X18: g] :
            ( ( ( X4 @ X18 )
              = $true )
            & ( ( X1 @ ( X2 @ ( X0 @ X18 ) ) )
             != ( X7 @ ( X1 @ ( X2 @ X18 ) ) ) ) ) )
      & ! [X11: g] :
          ( ( ( X3 @ ( X2 @ X11 ) )
            = $true )
          | ( ( X4 @ X11 )
           != $true ) )
      & ! [X13: g] :
          ( ( $true
            = ( X4 @ ( X0 @ X13 ) ) )
          | ( ( X4 @ X13 )
           != $true ) )
      & ! [X10: b] :
          ( ( ( X6 @ ( X1 @ X10 ) )
            = $true )
          | ( $true
           != ( X3 @ X10 ) ) ) ),
    inference(flattening,[],[f5]) ).

thf(f7,plain,
    ? [X0: b > b,X1: g > $o,X2: b > a,X3: a > $o,X4: b > $o,X5: g > b,X6: a > a,X7: g > g] :
      ( ! [X8: a] :
          ( ( ( X3 @ X8 )
           != $true )
          | ( ( X3 @ ( X6 @ X8 ) )
            = $true ) )
      & ! [X9: b] :
          ( ( ( X4 @ ( X0 @ X9 ) )
            = $true )
          | ( ( X4 @ X9 )
           != $true ) )
      & ! [X10: g] :
          ( ( ( X0 @ ( X5 @ X10 ) )
            = ( X5 @ ( X7 @ X10 ) ) )
          | ( ( X1 @ X10 )
           != $true ) )
      & ! [X11: b] :
          ( ( ( X6 @ ( X2 @ X11 ) )
            = ( X2 @ ( X0 @ X11 ) ) )
          | ( ( X4 @ X11 )
           != $true ) )
      & ! [X12: b] :
          ( ( $true
           != ( X4 @ X12 ) )
          | ( ( X4 @ ( X0 @ X12 ) )
            = $true ) )
      & ( ? [X13: a] :
            ( ( $true
             != ( X3 @ ( X6 @ X13 ) ) )
            & ( ( X3 @ X13 )
              = $true ) )
        | ? [X14: g] :
            ( ( ( X1 @ X14 )
              = $true )
            & ( ( X3 @ ( X2 @ ( X5 @ X14 ) ) )
             != $true ) )
        | ? [X15: g] :
            ( ( ( X1 @ X15 )
              = $true )
            & ( ( X1 @ ( X7 @ X15 ) )
             != $true ) )
        | ? [X16: g] :
            ( ( ( X1 @ X16 )
              = $true )
            & ( ( X2 @ ( X5 @ ( X7 @ X16 ) ) )
             != ( X6 @ ( X2 @ ( X5 @ X16 ) ) ) ) ) )
      & ! [X17: g] :
          ( ( ( X4 @ ( X5 @ X17 ) )
            = $true )
          | ( $true
           != ( X1 @ X17 ) ) )
      & ! [X18: g] :
          ( ( ( X1 @ ( X7 @ X18 ) )
            = $true )
          | ( $true
           != ( X1 @ X18 ) ) )
      & ! [X19: b] :
          ( ( ( X3 @ ( X2 @ X19 ) )
            = $true )
          | ( ( X4 @ X19 )
           != $true ) ) ),
    inference(rectify,[],[f6]) ).

thf(f8,plain,
    ( ! [X8: a] :
        ( ( ( sK3 @ X8 )
         != $true )
        | ( ( sK3 @ ( sK6 @ X8 ) )
          = $true ) )
    & ! [X9: b] :
        ( ( ( sK4 @ ( sK0 @ X9 ) )
          = $true )
        | ( ( sK4 @ X9 )
         != $true ) )
    & ! [X10: g] :
        ( ( ( sK5 @ ( sK7 @ X10 ) )
          = ( sK0 @ ( sK5 @ X10 ) ) )
        | ( $true
         != ( sK1 @ X10 ) ) )
    & ! [X11: b] :
        ( ( ( sK6 @ ( sK2 @ X11 ) )
          = ( sK2 @ ( sK0 @ X11 ) ) )
        | ( ( sK4 @ X11 )
         != $true ) )
    & ! [X12: b] :
        ( ( ( sK4 @ X12 )
         != $true )
        | ( ( sK4 @ ( sK0 @ X12 ) )
          = $true ) )
    & ( ( ( ( sK3 @ ( sK6 @ sK8 ) )
         != $true )
        & ( $true
          = ( sK3 @ sK8 ) ) )
      | ( ( ( sK1 @ sK9 )
          = $true )
        & ( ( sK3 @ ( sK2 @ ( sK5 @ sK9 ) ) )
         != $true ) )
      | ( ( ( sK1 @ sK10 )
          = $true )
        & ( $true
         != ( sK1 @ ( sK7 @ sK10 ) ) ) )
      | ( ( $true
          = ( sK1 @ sK11 ) )
        & ( ( sK2 @ ( sK5 @ ( sK7 @ sK11 ) ) )
         != ( sK6 @ ( sK2 @ ( sK5 @ sK11 ) ) ) ) ) )
    & ! [X17: g] :
        ( ( ( sK4 @ ( sK5 @ X17 ) )
          = $true )
        | ( ( sK1 @ X17 )
         != $true ) )
    & ! [X18: g] :
        ( ( $true
          = ( sK1 @ ( sK7 @ X18 ) ) )
        | ( $true
         != ( sK1 @ X18 ) ) )
    & ! [X19: b] :
        ( ( ( sK3 @ ( sK2 @ X19 ) )
          = $true )
        | ( ( sK4 @ X19 )
         != $true ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X13,sK8),skolemize(X14,sK9),skolemize(X15,sK10),skolemize(X16,sK11)],[f7]) ).

thf(f9,plain,
    ! [X19: b] :
      ( ( ( sK3 @ ( sK2 @ X19 ) )
        = $true )
      | ( ( sK4 @ X19 )
       != $true ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f10,plain,
    ! [X18: g] :
      ( ( $true
        = ( sK1 @ ( sK7 @ X18 ) ) )
      | ( $true
       != ( sK1 @ X18 ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f11,plain,
    ! [X17: g] :
      ( ( ( sK4 @ ( sK5 @ X17 ) )
        = $true )
      | ( ( sK1 @ X17 )
       != $true ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f12,plain,
    ( ( $true
      = ( sK3 @ sK8 ) )
    | ( $true
     != ( sK1 @ ( sK7 @ sK10 ) ) )
    | ( ( sK3 @ ( sK2 @ ( sK5 @ sK9 ) ) )
     != $true )
    | ( ( sK2 @ ( sK5 @ ( sK7 @ sK11 ) ) )
     != ( sK6 @ ( sK2 @ ( sK5 @ sK11 ) ) ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f13,plain,
    ( ( $true
      = ( sK3 @ sK8 ) )
    | ( $true
      = ( sK1 @ sK11 ) )
    | ( $true
     != ( sK1 @ ( sK7 @ sK10 ) ) )
    | ( ( sK3 @ ( sK2 @ ( sK5 @ sK9 ) ) )
     != $true ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f14,plain,
    ( ( ( sK3 @ ( sK2 @ ( sK5 @ sK9 ) ) )
     != $true )
    | ( ( sK1 @ sK10 )
      = $true )
    | ( ( sK2 @ ( sK5 @ ( sK7 @ sK11 ) ) )
     != ( sK6 @ ( sK2 @ ( sK5 @ sK11 ) ) ) )
    | ( $true
      = ( sK3 @ sK8 ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f15,plain,
    ( ( $true
      = ( sK1 @ sK11 ) )
    | ( ( sK3 @ ( sK2 @ ( sK5 @ sK9 ) ) )
     != $true )
    | ( ( sK1 @ sK10 )
      = $true )
    | ( $true
      = ( sK3 @ sK8 ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f16,plain,
    ( ( ( sK1 @ sK9 )
      = $true )
    | ( ( sK2 @ ( sK5 @ ( sK7 @ sK11 ) ) )
     != ( sK6 @ ( sK2 @ ( sK5 @ sK11 ) ) ) )
    | ( $true
      = ( sK3 @ sK8 ) )
    | ( $true
     != ( sK1 @ ( sK7 @ sK10 ) ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f17,plain,
    ( ( ( sK1 @ sK9 )
      = $true )
    | ( $true
      = ( sK3 @ sK8 ) )
    | ( $true
      = ( sK1 @ sK11 ) )
    | ( $true
     != ( sK1 @ ( sK7 @ sK10 ) ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f18,plain,
    ( ( $true
      = ( sK3 @ sK8 ) )
    | ( ( sK1 @ sK10 )
      = $true )
    | ( ( sK2 @ ( sK5 @ ( sK7 @ sK11 ) ) )
     != ( sK6 @ ( sK2 @ ( sK5 @ sK11 ) ) ) )
    | ( ( sK1 @ sK9 )
      = $true ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f19,plain,
    ( ( $true
      = ( sK1 @ sK11 ) )
    | ( ( sK1 @ sK9 )
      = $true )
    | ( $true
      = ( sK3 @ sK8 ) )
    | ( ( sK1 @ sK10 )
      = $true ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f20,plain,
    ( ( ( sK3 @ ( sK2 @ ( sK5 @ sK9 ) ) )
     != $true )
    | ( ( sK3 @ ( sK6 @ sK8 ) )
     != $true )
    | ( $true
     != ( sK1 @ ( sK7 @ sK10 ) ) )
    | ( ( sK2 @ ( sK5 @ ( sK7 @ sK11 ) ) )
     != ( sK6 @ ( sK2 @ ( sK5 @ sK11 ) ) ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f21,plain,
    ( ( $true
     != ( sK1 @ ( sK7 @ sK10 ) ) )
    | ( ( sK3 @ ( sK2 @ ( sK5 @ sK9 ) ) )
     != $true )
    | ( ( sK3 @ ( sK6 @ sK8 ) )
     != $true )
    | ( $true
      = ( sK1 @ sK11 ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f22,plain,
    ( ( ( sK3 @ ( sK2 @ ( sK5 @ sK9 ) ) )
     != $true )
    | ( ( sK1 @ sK10 )
      = $true )
    | ( ( sK2 @ ( sK5 @ ( sK7 @ sK11 ) ) )
     != ( sK6 @ ( sK2 @ ( sK5 @ sK11 ) ) ) )
    | ( ( sK3 @ ( sK6 @ sK8 ) )
     != $true ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f23,plain,
    ( ( ( sK3 @ ( sK6 @ sK8 ) )
     != $true )
    | ( $true
      = ( sK1 @ sK11 ) )
    | ( ( sK1 @ sK10 )
      = $true )
    | ( ( sK3 @ ( sK2 @ ( sK5 @ sK9 ) ) )
     != $true ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f24,plain,
    ( ( ( sK1 @ sK9 )
      = $true )
    | ( ( sK3 @ ( sK6 @ sK8 ) )
     != $true )
    | ( $true
     != ( sK1 @ ( sK7 @ sK10 ) ) )
    | ( ( sK2 @ ( sK5 @ ( sK7 @ sK11 ) ) )
     != ( sK6 @ ( sK2 @ ( sK5 @ sK11 ) ) ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f25,plain,
    ( ( ( sK1 @ sK9 )
      = $true )
    | ( $true
     != ( sK1 @ ( sK7 @ sK10 ) ) )
    | ( ( sK3 @ ( sK6 @ sK8 ) )
     != $true )
    | ( $true
      = ( sK1 @ sK11 ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f26,plain,
    ( ( ( sK3 @ ( sK6 @ sK8 ) )
     != $true )
    | ( ( sK2 @ ( sK5 @ ( sK7 @ sK11 ) ) )
     != ( sK6 @ ( sK2 @ ( sK5 @ sK11 ) ) ) )
    | ( ( sK1 @ sK10 )
      = $true )
    | ( ( sK1 @ sK9 )
      = $true ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f27,plain,
    ( ( ( sK3 @ ( sK6 @ sK8 ) )
     != $true )
    | ( ( sK1 @ sK10 )
      = $true )
    | ( ( sK1 @ sK9 )
      = $true )
    | ( $true
      = ( sK1 @ sK11 ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f29,plain,
    ! [X11: b] :
      ( ( ( sK6 @ ( sK2 @ X11 ) )
        = ( sK2 @ ( sK0 @ X11 ) ) )
      | ( ( sK4 @ X11 )
       != $true ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f30,plain,
    ! [X10: g] :
      ( ( ( sK5 @ ( sK7 @ X10 ) )
        = ( sK0 @ ( sK5 @ X10 ) ) )
      | ( $true
       != ( sK1 @ X10 ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f32,plain,
    ! [X8: a] :
      ( ( ( sK3 @ ( sK6 @ X8 ) )
        = $true )
      | ( ( sK3 @ X8 )
       != $true ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f35,definition,
    ( spl12_1
  <=> ( $true
      = ( sK1 @ sK11 ) ) ),
    introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).

thf(f37,plain,
    ( ( $true
      = ( sK1 @ sK11 ) )
    | ~ spl12_1 ),
    inference(avatar_component_clause,[],[f35]) ).

thf(f39,definition,
    ( spl12_2
  <=> ( $true
      = ( sK1 @ ( sK7 @ sK10 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).

thf(f41,plain,
    ( ( $true
     != ( sK1 @ ( sK7 @ sK10 ) ) )
    | spl12_2 ),
    inference(avatar_component_clause,[],[f39]) ).

thf(f43,definition,
    ( spl12_3
  <=> ( $true
      = ( sK3 @ sK8 ) ) ),
    introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).

thf(f45,plain,
    ( ( $true
      = ( sK3 @ sK8 ) )
    | ~ spl12_3 ),
    inference(avatar_component_clause,[],[f43]) ).

thf(f47,definition,
    ( spl12_4
  <=> ( ( sK1 @ sK9 )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).

thf(f49,plain,
    ( ( ( sK1 @ sK9 )
      = $true )
    | ~ spl12_4 ),
    inference(avatar_component_clause,[],[f47]) ).

thf(f50,plain,
    ( spl12_1
    | ~ spl12_2
    | spl12_3
    | spl12_4 ),
    inference(avatar_split_clause,[],[f17,f47,f43,f39,f35]) ).

thf(f52,definition,
    ( spl12_5
  <=> ( ( sK1 @ sK10 )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).

thf(f56,definition,
    ( spl12_6
  <=> ( ( sK3 @ ( sK2 @ ( sK5 @ sK9 ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).

thf(f58,plain,
    ( ( ( sK3 @ ( sK2 @ ( sK5 @ sK9 ) ) )
     != $true )
    | spl12_6 ),
    inference(avatar_component_clause,[],[f56]) ).

thf(f60,definition,
    ( spl12_7
  <=> ( ( sK2 @ ( sK5 @ ( sK7 @ sK11 ) ) )
      = ( sK6 @ ( sK2 @ ( sK5 @ sK11 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl12_7])],[avatar_definition]) ).

thf(f62,plain,
    ( ( ( sK2 @ ( sK5 @ ( sK7 @ sK11 ) ) )
     != ( sK6 @ ( sK2 @ ( sK5 @ sK11 ) ) ) )
    | spl12_7 ),
    inference(avatar_component_clause,[],[f60]) ).

thf(f63,plain,
    ( spl12_5
    | spl12_3
    | ~ spl12_6
    | ~ spl12_7 ),
    inference(avatar_split_clause,[],[f14,f60,f56,f43,f52]) ).

thf(f65,definition,
    ( spl12_8
  <=> ( ( sK3 @ ( sK6 @ sK8 ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl12_8])],[avatar_definition]) ).

thf(f67,plain,
    ( ( ( sK3 @ ( sK6 @ sK8 ) )
     != $true )
    | spl12_8 ),
    inference(avatar_component_clause,[],[f65]) ).

thf(f68,plain,
    ( ~ spl12_6
    | ~ spl12_2
    | ~ spl12_8
    | spl12_1 ),
    inference(avatar_split_clause,[],[f21,f35,f65,f39,f56]) ).

thf(f69,plain,
    ( spl12_4
    | spl12_5
    | spl12_3
    | spl12_1 ),
    inference(avatar_split_clause,[],[f19,f35,f43,f52,f47]) ).

thf(f70,plain,
    ( spl12_1
    | spl12_5
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(avatar_split_clause,[],[f23,f65,f56,f52,f35]) ).

thf(f71,plain,
    ( spl12_4
    | spl12_5
    | ~ spl12_7
    | spl12_3 ),
    inference(avatar_split_clause,[],[f18,f43,f60,f52,f47]) ).

thf(f72,plain,
    ( ~ spl12_8
    | ~ spl12_2
    | spl12_1
    | spl12_4 ),
    inference(avatar_split_clause,[],[f25,f47,f35,f39,f65]) ).

thf(f73,plain,
    ( spl12_3
    | spl12_1
    | ~ spl12_2
    | ~ spl12_6 ),
    inference(avatar_split_clause,[],[f13,f56,f39,f35,f43]) ).

thf(f74,plain,
    ( spl12_3
    | spl12_1
    | ~ spl12_6
    | spl12_5 ),
    inference(avatar_split_clause,[],[f15,f52,f56,f35,f43]) ).

thf(f75,plain,
    ( spl12_3
    | ~ spl12_7
    | spl12_4
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f16,f39,f47,f60,f43]) ).

thf(f76,plain,
    ( spl12_4
    | ~ spl12_7
    | ~ spl12_8
    | spl12_5 ),
    inference(avatar_split_clause,[],[f26,f52,f65,f60,f47]) ).

thf(f77,plain,
    ( ~ spl12_6
    | ~ spl12_8
    | ~ spl12_2
    | ~ spl12_7 ),
    inference(avatar_split_clause,[],[f20,f60,f39,f65,f56]) ).

thf(f78,plain,
    ( spl12_5
    | ~ spl12_8
    | ~ spl12_6
    | ~ spl12_7 ),
    inference(avatar_split_clause,[],[f22,f60,f56,f65,f52]) ).

thf(f79,plain,
    ( ~ spl12_8
    | spl12_4
    | spl12_5
    | spl12_1 ),
    inference(avatar_split_clause,[],[f27,f35,f52,f47,f65]) ).

thf(f80,plain,
    ( ~ spl12_2
    | ~ spl12_7
    | spl12_3
    | ~ spl12_6 ),
    inference(avatar_split_clause,[],[f12,f56,f43,f60,f39]) ).

thf(f81,plain,
    ( ~ spl12_8
    | spl12_4
    | ~ spl12_7
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f24,f39,f60,f47,f65]) ).

thf(f82,plain,
    ( ( $true != $true )
    | ( ( sK1 @ sK10 )
     != $true )
    | spl12_2 ),
    inference(superposition,[],[f41,f10]) ).

thf(f83,plain,
    ( ( ( sK1 @ sK10 )
     != $true )
    | spl12_2 ),
    inference(trivial_inequality_removal,[],[f82]) ).

thf(f84,plain,
    ( ~ spl12_5
    | spl12_2 ),
    inference(avatar_split_clause,[],[f83,f39,f52]) ).

thf(f85,plain,
    ( ( $true
     != ( sK3 @ sK8 ) )
    | ( $true != $true )
    | spl12_8 ),
    inference(superposition,[],[f67,f32]) ).

thf(f86,plain,
    ( ( $true
     != ( sK3 @ sK8 ) )
    | spl12_8 ),
    inference(trivial_inequality_removal,[],[f85]) ).

thf(f87,plain,
    ( $false
    | ~ spl12_3
    | spl12_8 ),
    inference(forward_subsumption_resolution,[],[f86,f45]) ).

thf(f88,plain,
    ( ~ spl12_3
    | spl12_8 ),
    inference(avatar_contradiction_clause,[],[f87]) ).

thf(f89,plain,
    ( ( $true != $true )
    | ( $true
     != ( sK4 @ ( sK5 @ sK9 ) ) )
    | spl12_6 ),
    inference(superposition,[],[f58,f9]) ).

thf(f90,plain,
    ( ( $true
     != ( sK4 @ ( sK5 @ sK9 ) ) )
    | spl12_6 ),
    inference(trivial_inequality_removal,[],[f89]) ).

thf(f92,definition,
    ( spl12_9
  <=> ( $true
      = ( sK4 @ ( sK5 @ sK9 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl12_9])],[avatar_definition]) ).

thf(f94,plain,
    ( ( $true
     != ( sK4 @ ( sK5 @ sK9 ) ) )
    | spl12_9 ),
    inference(avatar_component_clause,[],[f92]) ).

thf(f95,plain,
    ( ~ spl12_9
    | spl12_6 ),
    inference(avatar_split_clause,[],[f90,f56,f92]) ).

thf(f104,plain,
    ( ( ( sK1 @ sK9 )
     != $true )
    | ( $true != $true )
    | spl12_9 ),
    inference(superposition,[],[f94,f11]) ).

thf(f105,plain,
    ( ( ( sK1 @ sK9 )
     != $true )
    | spl12_9 ),
    inference(trivial_inequality_removal,[],[f104]) ).

thf(f106,plain,
    ( $false
    | ~ spl12_4
    | spl12_9 ),
    inference(forward_subsumption_resolution,[],[f105,f49]) ).

thf(f107,plain,
    ( ~ spl12_4
    | spl12_9 ),
    inference(avatar_contradiction_clause,[],[f106]) ).

thf(f108,plain,
    ( ~ spl12_4
    | spl12_9 ),
    inference(avatar_split_clause,[],[f105,f92,f47]) ).

thf(f139,plain,
    ( ( $true
     != ( sK1 @ sK11 ) )
    | ( ( sK2 @ ( sK0 @ ( sK5 @ sK11 ) ) )
     != ( sK6 @ ( sK2 @ ( sK5 @ sK11 ) ) ) )
    | spl12_7 ),
    inference(superposition,[],[f62,f30]) ).

thf(f140,plain,
    ( ( ( sK2 @ ( sK0 @ ( sK5 @ sK11 ) ) )
     != ( sK6 @ ( sK2 @ ( sK5 @ sK11 ) ) ) )
    | ~ spl12_1
    | spl12_7 ),
    inference(forward_subsumption_resolution,[],[f139,f37]) ).

thf(f142,definition,
    ( spl12_10
  <=> ( ( sK2 @ ( sK0 @ ( sK5 @ sK11 ) ) )
      = ( sK6 @ ( sK2 @ ( sK5 @ sK11 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl12_10])],[avatar_definition]) ).

thf(f144,plain,
    ( ( ( sK2 @ ( sK0 @ ( sK5 @ sK11 ) ) )
     != ( sK6 @ ( sK2 @ ( sK5 @ sK11 ) ) ) )
    | spl12_10 ),
    inference(avatar_component_clause,[],[f142]) ).

thf(f145,plain,
    ( ~ spl12_10
    | ~ spl12_1
    | spl12_7 ),
    inference(avatar_split_clause,[],[f140,f60,f35,f142]) ).

thf(f154,plain,
    ( ( ( sK4 @ ( sK5 @ sK11 ) )
     != $true )
    | ( ( sK6 @ ( sK2 @ ( sK5 @ sK11 ) ) )
     != ( sK6 @ ( sK2 @ ( sK5 @ sK11 ) ) ) )
    | spl12_10 ),
    inference(superposition,[],[f144,f29]) ).

thf(f155,plain,
    ( ( ( sK4 @ ( sK5 @ sK11 ) )
     != $true )
    | spl12_10 ),
    inference(trivial_inequality_removal,[],[f154]) ).

thf(f157,definition,
    ( spl12_11
  <=> ( ( sK4 @ ( sK5 @ sK11 ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl12_11])],[avatar_definition]) ).

thf(f159,plain,
    ( ( ( sK4 @ ( sK5 @ sK11 ) )
     != $true )
    | spl12_11 ),
    inference(avatar_component_clause,[],[f157]) ).

thf(f160,plain,
    ( ~ spl12_11
    | spl12_10 ),
    inference(avatar_split_clause,[],[f155,f142,f157]) ).

thf(f167,plain,
    ( ( $true != $true )
    | ( $true
     != ( sK1 @ sK11 ) )
    | spl12_11 ),
    inference(superposition,[],[f159,f11]) ).

thf(f168,plain,
    ( ( $true
     != ( sK1 @ sK11 ) )
    | spl12_11 ),
    inference(trivial_inequality_removal,[],[f167]) ).

thf(f169,plain,
    ( $false
    | ~ spl12_1
    | spl12_11 ),
    inference(forward_subsumption_resolution,[],[f168,f37]) ).

thf(f170,plain,
    ( ~ spl12_1
    | spl12_11 ),
    inference(avatar_contradiction_clause,[],[f169]) ).

cnf(s1,plain,
    ( spl12_1
    | ~ spl12_2
    | spl12_3
    | spl12_4 ),
    inference(sat_conversion,[],[f50]) ).

cnf(s2,plain,
    ( spl12_3
    | spl12_5
    | ~ spl12_6
    | ~ spl12_7 ),
    inference(sat_conversion,[],[f63]) ).

cnf(s3,plain,
    ( spl12_1
    | ~ spl12_2
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(sat_conversion,[],[f68]) ).

cnf(s4,plain,
    ( spl12_1
    | spl12_3
    | spl12_4
    | spl12_5 ),
    inference(sat_conversion,[],[f69]) ).

cnf(s5,plain,
    ( spl12_1
    | spl12_5
    | ~ spl12_6
    | ~ spl12_8 ),
    inference(sat_conversion,[],[f70]) ).

cnf(s6,plain,
    ( spl12_3
    | spl12_4
    | spl12_5
    | ~ spl12_7 ),
    inference(sat_conversion,[],[f71]) ).

cnf(s7,plain,
    ( spl12_1
    | ~ spl12_2
    | spl12_4
    | ~ spl12_8 ),
    inference(sat_conversion,[],[f72]) ).

cnf(s8,plain,
    ( spl12_1
    | ~ spl12_2
    | spl12_3
    | ~ spl12_6 ),
    inference(sat_conversion,[],[f73]) ).

cnf(s9,plain,
    ( spl12_1
    | spl12_3
    | spl12_5
    | ~ spl12_6 ),
    inference(sat_conversion,[],[f74]) ).

cnf(s10,plain,
    ( ~ spl12_2
    | spl12_3
    | spl12_4
    | ~ spl12_7 ),
    inference(sat_conversion,[],[f75]) ).

cnf(s11,plain,
    ( spl12_4
    | spl12_5
    | ~ spl12_7
    | ~ spl12_8 ),
    inference(sat_conversion,[],[f76]) ).

cnf(s12,plain,
    ( ~ spl12_2
    | ~ spl12_6
    | ~ spl12_7
    | ~ spl12_8 ),
    inference(sat_conversion,[],[f77]) ).

cnf(s13,plain,
    ( spl12_5
    | ~ spl12_6
    | ~ spl12_7
    | ~ spl12_8 ),
    inference(sat_conversion,[],[f78]) ).

cnf(s14,plain,
    ( spl12_1
    | spl12_4
    | spl12_5
    | ~ spl12_8 ),
    inference(sat_conversion,[],[f79]) ).

cnf(s15,plain,
    ( ~ spl12_2
    | spl12_3
    | ~ spl12_6
    | ~ spl12_7 ),
    inference(sat_conversion,[],[f80]) ).

cnf(s16,plain,
    ( ~ spl12_2
    | spl12_4
    | ~ spl12_7
    | ~ spl12_8 ),
    inference(sat_conversion,[],[f81]) ).

cnf(s17,plain,
    ( spl12_2
    | ~ spl12_5 ),
    inference(sat_conversion,[],[f84]) ).

cnf(s18,plain,
    ( ~ spl12_3
    | spl12_8 ),
    inference(sat_conversion,[],[f88]) ).

cnf(s19,plain,
    ( spl12_6
    | ~ spl12_9 ),
    inference(sat_conversion,[],[f95]) ).

cnf(s20,plain,
    ( ~ spl12_4
    | spl12_9 ),
    inference(sat_conversion,[],[f107]) ).

cnf(s21,plain,
    ( ~ spl12_4
    | spl12_9 ),
    inference(sat_conversion,[],[f108]) ).

cnf(s22,plain,
    ( ~ spl12_1
    | spl12_7
    | ~ spl12_10 ),
    inference(sat_conversion,[],[f145]) ).

cnf(s23,plain,
    ( spl12_10
    | ~ spl12_11 ),
    inference(sat_conversion,[],[f160]) ).

cnf(s24,plain,
    ( ~ spl12_1
    | spl12_11 ),
    inference(sat_conversion,[],[f170]) ).

cnf(s25,plain,
    ( spl12_3
    | spl12_5
    | spl12_1 ),
    inference(rat,[],[s19,s21,s9,s4]) ).

cnf(s26,plain,
    ( ~ spl12_8
    | spl12_5
    | spl12_1 ),
    inference(rat,[],[s20,s19,s14,s5]) ).

cnf(s27,plain,
    ( spl12_5
    | spl12_1 ),
    inference(rat,[],[s26,s18,s25]) ).

cnf(s28,plain,
    ( spl12_3
    | ~ spl12_2
    | spl12_1 ),
    inference(rat,[],[s19,s21,s8,s1]) ).

cnf(s29,plain,
    ( ~ spl12_8
    | ~ spl12_2
    | spl12_1 ),
    inference(rat,[],[s19,s21,s3,s7]) ).

cnf(s30,plain,
    ( ~ spl12_2
    | spl12_1 ),
    inference(rat,[],[s29,s18,s28]) ).

cnf(s31,plain,
    spl12_1,
    inference(rat,[],[s30,s17,s27]) ).

cnf(s32,plain,
    spl12_11,
    inference(rat,[],[s24,s31]) ).

cnf(s33,plain,
    spl12_10,
    inference(rat,[],[s23,s32]) ).

cnf(s34,plain,
    spl12_7,
    inference(rat,[],[s22,s31,s33]) ).

cnf(s35,plain,
    ( spl12_3
    | spl12_5 ),
    inference(rat,[],[s19,s21,s2,s6,s34]) ).

cnf(s36,plain,
    ( ~ spl12_8
    | spl12_5 ),
    inference(rat,[],[s20,s19,s11,s13,s34]) ).

cnf(s37,plain,
    spl12_5,
    inference(rat,[],[s36,s18,s35]) ).

cnf(s38,plain,
    spl12_2,
    inference(rat,[],[s17,s37]) ).

cnf(s39,plain,
    ~ spl12_6,
    inference(rat,[],[s18,s12,s15,s38,s34]) ).

cnf(s40,plain,
    ~ spl12_9,
    inference(rat,[],[s19,s39]) ).

cnf(s41,plain,
    ~ spl12_4,
    inference(rat,[],[s21,s40]) ).

cnf(s42,plain,
    ~ spl12_8,
    inference(rat,[],[s16,s38,s34,s41]) ).

cnf(s43,plain,
    spl12_3,
    inference(rat,[],[s10,s38,s34,s41]) ).

cnf(s44,plain,
    $false,
    inference(rat,[],[s18,s42,s43]) ).

thf(f171,plain,
    $false,
    inference(avatar_sat_refutation,[],[s44]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU903^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19  % Computer : n010.cluster.edu
% 0.10/0.19  % Model    : x86_64 x86_64
% 0.10/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19  % Memory   : 8046.5625MB
% 0.10/0.19  % OS       : Linux 6.8.0-71-generic
% 0.10/0.19  % CPULimit : 300
% 0.10/0.19  % WCLimit  : 300
% 0.10/0.19  % DateTime : Tue Sep 29 14:45:03 UTC 2026
% 0.10/0.19  % CPUTime  : 
% 0.10/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23  Running higher-order theorem proving
% 0.10/0.24  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.30  % (2955837)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.30  % (2955845)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2941461585:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.23/0.30  % (2955848)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.23/0.30  % (2955848)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.23/0.30  % (2955843)lrs+10_16_si=on:nwc=1.5:random_seed=876024383:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.30  % (2955844)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1342113803:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.23/0.30  % (2955842)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1458903217:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.23/0.30  % (2955846)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3074720043:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.23/0.30  % (2955847)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1624352379:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.23/0.30  % (2955848)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2425957905:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.23/0.30  % (2955845) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2955837-2955845"...
% 0.23/0.30  % (2955844)Instruction limit reached! 
% 0.23/0.30  % (2955844)------------------------------
% 0.23/0.30  % (2955844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.30  % (2955844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.30  % (2955844)CaDiCaL version: 2.1.3
% 0.23/0.30  % (2955844)Termination reason: Instruction limit
% 0.23/0.30  % (2955844)Termination phase: Saturation
% 0.23/0.30  % (2955844)Time elapsed: 0.003 s
% 0.23/0.30  % (2955844)Peak memory usage: 11 MB
% 0.23/0.30  % (2955844)Instructions burned: 4 (million)
% 0.23/0.30  % (2955845)...printing done.
% 0.23/0.30  % (2955845)Refutation found. Thanks to Tanya!
% 0.23/0.30  % SZS status Theorem for theBenchmark
% 0.23/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.30  % (2955845)------------------------------
% 0.23/0.30  % (2955845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.30  % (2955845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.30  % (2955845)CaDiCaL version: 2.1.3
% 0.23/0.30  % (2955845)Termination reason: Refutation
% 0.23/0.30  % (2955845)Time elapsed: 0.011 s
% 0.23/0.30  % (2955845)Peak memory usage: 13 MB
% 0.23/0.30  % (2955845)Instructions burned: 34 (million)
% 0.23/0.30  % (2955837)Success in time 0.049 s
% 0.23/0.30  % Vampire exiting
%------------------------------------------------------------------------------