TSTP Solution File: SEV218^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV218^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 09:41:47 EDT 2024

% Result   : Theorem 0.16s 0.35s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   85 (   3 unt;  11 typ;   0 def)
%            Number of atoms       :  567 ( 162 equ;   0 cnn)
%            Maximal formula atoms :   10 (   7 avg)
%            Number of connectives :  693 ( 110   ~; 117   |;  54   &; 382   @)
%                                         (   9 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  15 usr;  14 con; 0-2 aty)
%            Number of variables   :  121 (   0   ^  79   !;  42   ?; 121   :)

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

thf(func_def_0,type,
    a: $tType ).

thf(func_def_1,type,
    cQ: a > a > $o ).

thf(func_def_5,type,
    sK0: a > a > $o ).

thf(func_def_6,type,
    sK1: a > a ).

thf(func_def_7,type,
    sK2: a ).

thf(func_def_8,type,
    sK3: a ).

thf(func_def_9,type,
    sK4: a ).

thf(func_def_10,type,
    sK5: a ).

thf(func_def_11,type,
    sK6: a ).

thf(func_def_12,type,
    sK7: a ).

thf(f181,plain,
    $false,
    inference(avatar_sat_refutation,[],[f38,f43,f52,f53,f54,f55,f67,f88,f180]) ).

thf(f180,plain,
    ( ~ spl8_2
    | spl8_4
    | ~ spl8_5 ),
    inference(avatar_contradiction_clause,[],[f179]) ).

thf(f179,plain,
    ( $false
    | ~ spl8_2
    | spl8_4
    | ~ spl8_5 ),
    inference(subsumption_resolution,[],[f173,f23]) ).

thf(f23,plain,
    ! [X1: a] :
      ( ( sK0 @ X1 @ X1 )
      = $true ),
    inference(cnf_transformation,[],[f14]) ).

thf(f14,plain,
    ( ! [X1: a] :
        ( ( ( sK0 @ X1 @ X1 )
          = $true )
        & ! [X2: a] :
            ( ( ( sK0 @ X1 @ X2 )
             != $true )
            | ! [X3: a] :
                ( ( cQ @ X2 @ X3 )
                = ( sK0 @ X1 @ X3 ) ) )
        & ( ( sK0 @ X1 @ ( sK1 @ X1 ) )
          = $true ) )
    & ( ( ( cQ @ sK2 @ sK2 )
       != $true )
      | ( ( ( cQ @ sK4 @ sK3 )
          = $true )
        & ( $true
         != ( cQ @ sK3 @ sK4 ) ) )
      | ( ( ( cQ @ sK6 @ sK7 )
          = $true )
        & ( ( cQ @ sK5 @ sK6 )
          = $true )
        & ( ( cQ @ sK5 @ sK7 )
         != $true ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f8,f13,f12,f11,f10,f9]) ).

thf(f9,plain,
    ( ? [X0: a > a > $o] :
      ! [X1: a] :
        ( ( ( X0 @ X1 @ X1 )
          = $true )
        & ! [X2: a] :
            ( ( ( X0 @ X1 @ X2 )
             != $true )
            | ! [X3: a] :
                ( ( X0 @ X1 @ X3 )
                = ( cQ @ X2 @ X3 ) ) )
        & ? [X4: a] :
            ( ( X0 @ X1 @ X4 )
            = $true ) )
   => ! [X1: a] :
        ( ( ( sK0 @ X1 @ X1 )
          = $true )
        & ! [X2: a] :
            ( ( ( sK0 @ X1 @ X2 )
             != $true )
            | ! [X3: a] :
                ( ( cQ @ X2 @ X3 )
                = ( sK0 @ X1 @ X3 ) ) )
        & ? [X4: a] :
            ( ( sK0 @ X1 @ X4 )
            = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f10,plain,
    ! [X1: a] :
      ( ? [X4: a] :
          ( ( sK0 @ X1 @ X4 )
          = $true )
     => ( ( sK0 @ X1 @ ( sK1 @ X1 ) )
        = $true ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ( ? [X5: a] :
        ( ( cQ @ X5 @ X5 )
       != $true )
   => ( ( cQ @ sK2 @ sK2 )
     != $true ) ),
    introduced(choice_axiom,[]) ).

thf(f12,plain,
    ( ? [X6: a,X7: a] :
        ( ( ( cQ @ X7 @ X6 )
          = $true )
        & ( ( cQ @ X6 @ X7 )
         != $true ) )
   => ( ( ( cQ @ sK4 @ sK3 )
        = $true )
      & ( $true
       != ( cQ @ sK3 @ sK4 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f13,plain,
    ( ? [X8: a,X9: a,X10: a] :
        ( ( ( cQ @ X9 @ X10 )
          = $true )
        & ( ( cQ @ X8 @ X9 )
          = $true )
        & ( ( cQ @ X8 @ X10 )
         != $true ) )
   => ( ( ( cQ @ sK6 @ sK7 )
        = $true )
      & ( ( cQ @ sK5 @ sK6 )
        = $true )
      & ( ( cQ @ sK5 @ sK7 )
       != $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f8,plain,
    ( ? [X0: a > a > $o] :
      ! [X1: a] :
        ( ( ( X0 @ X1 @ X1 )
          = $true )
        & ! [X2: a] :
            ( ( ( X0 @ X1 @ X2 )
             != $true )
            | ! [X3: a] :
                ( ( X0 @ X1 @ X3 )
                = ( cQ @ X2 @ X3 ) ) )
        & ? [X4: a] :
            ( ( X0 @ X1 @ X4 )
            = $true ) )
    & ( ? [X5: a] :
          ( ( cQ @ X5 @ X5 )
         != $true )
      | ? [X6: a,X7: a] :
          ( ( ( cQ @ X7 @ X6 )
            = $true )
          & ( ( cQ @ X6 @ X7 )
           != $true ) )
      | ? [X8: a,X9: a,X10: a] :
          ( ( ( cQ @ X9 @ X10 )
            = $true )
          & ( ( cQ @ X8 @ X9 )
            = $true )
          & ( ( cQ @ X8 @ X10 )
           != $true ) ) ) ),
    inference(rectify,[],[f7]) ).

thf(f7,plain,
    ( ? [X0: a > a > $o] :
      ! [X1: a] :
        ( ( ( X0 @ X1 @ X1 )
          = $true )
        & ! [X3: a] :
            ( ( ( X0 @ X1 @ X3 )
             != $true )
            | ! [X4: a] :
                ( ( X0 @ X1 @ X4 )
                = ( cQ @ X3 @ X4 ) ) )
        & ? [X2: a] :
            ( ( X0 @ X1 @ X2 )
            = $true ) )
    & ( ? [X10: a] :
          ( ( cQ @ X10 @ X10 )
         != $true )
      | ? [X8: a,X9: a] :
          ( ( ( cQ @ X9 @ X8 )
            = $true )
          & ( ( cQ @ X8 @ X9 )
           != $true ) )
      | ? [X7: a,X5: a,X6: a] :
          ( ( ( cQ @ X5 @ X6 )
            = $true )
          & ( ( cQ @ X7 @ X5 )
            = $true )
          & ( ( cQ @ X7 @ X6 )
           != $true ) ) ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ( ( ? [X10: a] :
          ( ( cQ @ X10 @ X10 )
         != $true )
      | ? [X6: a,X5: a,X7: a] :
          ( ( ( cQ @ X7 @ X6 )
           != $true )
          & ( ( cQ @ X5 @ X6 )
            = $true )
          & ( ( cQ @ X7 @ X5 )
            = $true ) )
      | ? [X8: a,X9: a] :
          ( ( ( cQ @ X9 @ X8 )
            = $true )
          & ( ( cQ @ X8 @ X9 )
           != $true ) ) )
    & ? [X0: a > a > $o] :
      ! [X1: a] :
        ( ( ( X0 @ X1 @ X1 )
          = $true )
        & ! [X3: a] :
            ( ( ( X0 @ X1 @ X3 )
             != $true )
            | ! [X4: a] :
                ( ( X0 @ X1 @ X4 )
                = ( cQ @ X3 @ X4 ) ) )
        & ? [X2: a] :
            ( ( X0 @ X1 @ X2 )
            = $true ) ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ( ? [X0: a > a > $o] :
        ! [X1: a] :
          ( ? [X2: a] :
              ( ( X0 @ X1 @ X2 )
              = $true )
          & ! [X3: a] :
              ( ( ( X0 @ X1 @ X3 )
                = $true )
             => ! [X4: a] :
                  ( ( X0 @ X1 @ X4 )
                  = ( cQ @ X3 @ X4 ) ) )
          & ( ( X0 @ X1 @ X1 )
            = $true ) )
     => ( ! [X10: a] :
            ( ( cQ @ X10 @ X10 )
            = $true )
        & ! [X6: a,X5: a,X7: a] :
            ( ( ( ( cQ @ X5 @ X6 )
                = $true )
              & ( ( cQ @ X7 @ X5 )
                = $true ) )
           => ( ( cQ @ X7 @ X6 )
              = $true ) )
        & ! [X8: a,X9: a] :
            ( ( ( cQ @ X9 @ X8 )
              = $true )
           => ( ( cQ @ X8 @ X9 )
              = $true ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ? [X0: a > a > $o] :
        ! [X1: a] :
          ( ? [X2: a] : ( X0 @ X1 @ X2 )
          & ( X0 @ X1 @ X1 )
          & ! [X3: a] :
              ( ( X0 @ X1 @ X3 )
             => ! [X4: a] :
                  ( ( X0 @ X1 @ X4 )
                <=> ( cQ @ X3 @ X4 ) ) ) )
     => ( ! [X5: a,X6: a,X7: a] :
            ( ( ( cQ @ X7 @ X5 )
              & ( cQ @ X5 @ X6 ) )
           => ( cQ @ X7 @ X6 ) )
        & ! [X8: a,X9: a] :
            ( ( cQ @ X9 @ X8 )
           => ( cQ @ X8 @ X9 ) )
        & ! [X10: a] : ( cQ @ X10 @ X10 ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ? [X0: a > a > $o] :
        ! [X1: a] :
          ( ? [X2: a] : ( X0 @ X1 @ X2 )
          & ( X0 @ X1 @ X1 )
          & ! [X3: a] :
              ( ( X0 @ X1 @ X3 )
             => ! [X4: a] :
                  ( ( X0 @ X1 @ X4 )
                <=> ( cQ @ X3 @ X4 ) ) ) )
     => ( ! [X4: a,X2: a,X1: a] :
            ( ( ( cQ @ X1 @ X4 )
              & ( cQ @ X4 @ X2 ) )
           => ( cQ @ X1 @ X2 ) )
        & ! [X4: a,X1: a] :
            ( ( cQ @ X1 @ X4 )
           => ( cQ @ X4 @ X1 ) )
        & ! [X1: a] : ( cQ @ X1 @ X1 ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ? [X0: a > a > $o] :
      ! [X1: a] :
        ( ? [X2: a] : ( X0 @ X1 @ X2 )
        & ( X0 @ X1 @ X1 )
        & ! [X3: a] :
            ( ( X0 @ X1 @ X3 )
           => ! [X4: a] :
                ( ( X0 @ X1 @ X4 )
              <=> ( cQ @ X3 @ X4 ) ) ) )
   => ( ! [X4: a,X2: a,X1: a] :
          ( ( ( cQ @ X1 @ X4 )
            & ( cQ @ X4 @ X2 ) )
         => ( cQ @ X1 @ X2 ) )
      & ! [X4: a,X1: a] :
          ( ( cQ @ X1 @ X4 )
         => ( cQ @ X4 @ X1 ) )
      & ! [X1: a] : ( cQ @ X1 @ X1 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.OfbnS5h5BH/Vampire---4.8_7493',cTHM559A_pme) ).

thf(f173,plain,
    ( ( ( sK0 @ sK5 @ sK5 )
     != $true )
    | ~ spl8_2
    | spl8_4
    | ~ spl8_5 ),
    inference(trivial_inequality_removal,[],[f170]) ).

thf(f170,plain,
    ( ( $false = $true )
    | ( ( sK0 @ sK5 @ sK5 )
     != $true )
    | ~ spl8_2
    | spl8_4
    | ~ spl8_5 ),
    inference(superposition,[],[f143,f47]) ).

thf(f47,plain,
    ( ( ( cQ @ sK5 @ sK6 )
      = $true )
    | ~ spl8_5 ),
    inference(avatar_component_clause,[],[f45]) ).

thf(f45,plain,
    ( spl8_5
  <=> ( ( cQ @ sK5 @ sK6 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).

thf(f143,plain,
    ( ! [X0: a] :
        ( ( ( cQ @ X0 @ sK6 )
          = $false )
        | ( ( sK0 @ sK5 @ X0 )
         != $true ) )
    | ~ spl8_2
    | spl8_4 ),
    inference(trivial_inequality_removal,[],[f141]) ).

thf(f141,plain,
    ( ! [X0: a] :
        ( ( $true != $true )
        | ( ( sK0 @ sK5 @ X0 )
         != $true )
        | ( ( cQ @ X0 @ sK6 )
          = $false ) )
    | ~ spl8_2
    | spl8_4 ),
    inference(superposition,[],[f139,f25]) ).

thf(f25,plain,
    ! [X2: a,X3: a,X1: a] :
      ( ( ( sK0 @ X1 @ X3 )
        = $true )
      | ( ( cQ @ X2 @ X3 )
        = $false )
      | ( ( sK0 @ X1 @ X2 )
       != $true ) ),
    inference(binary_proxy_clausification,[],[f22]) ).

thf(f22,plain,
    ! [X2: a,X3: a,X1: a] :
      ( ( ( cQ @ X2 @ X3 )
        = ( sK0 @ X1 @ X3 ) )
      | ( ( sK0 @ X1 @ X2 )
       != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f139,plain,
    ( ( ( sK0 @ sK5 @ sK6 )
     != $true )
    | ~ spl8_2
    | spl8_4 ),
    inference(trivial_inequality_removal,[],[f136]) ).

thf(f136,plain,
    ( ( ( sK0 @ sK5 @ sK6 )
     != $true )
    | ( $false = $true )
    | ~ spl8_2
    | spl8_4 ),
    inference(superposition,[],[f33,f128]) ).

thf(f128,plain,
    ( ! [X0: a] :
        ( ( $false
          = ( cQ @ X0 @ sK7 ) )
        | ( ( sK0 @ sK5 @ X0 )
         != $true ) )
    | spl8_4 ),
    inference(trivial_inequality_removal,[],[f126]) ).

thf(f126,plain,
    ( ! [X0: a] :
        ( ( ( sK0 @ sK5 @ X0 )
         != $true )
        | ( $true != $true )
        | ( $false
          = ( cQ @ X0 @ sK7 ) ) )
    | spl8_4 ),
    inference(superposition,[],[f123,f25]) ).

thf(f123,plain,
    ( ( ( sK0 @ sK5 @ sK7 )
     != $true )
    | spl8_4 ),
    inference(trivial_inequality_removal,[],[f119]) ).

thf(f119,plain,
    ( ( ( sK0 @ sK5 @ sK7 )
     != $true )
    | ( $true != $true )
    | spl8_4 ),
    inference(superposition,[],[f108,f23]) ).

thf(f108,plain,
    ( ! [X0: a] :
        ( ( ( sK0 @ sK7 @ X0 )
         != $true )
        | ( ( sK0 @ sK5 @ X0 )
         != $true ) )
    | spl8_4 ),
    inference(trivial_inequality_removal,[],[f106]) ).

thf(f106,plain,
    ( ! [X0: a] :
        ( ( ( sK0 @ sK7 @ X0 )
         != $true )
        | ( ( sK0 @ sK5 @ X0 )
         != $true )
        | ( $false = $true ) )
    | spl8_4 ),
    inference(superposition,[],[f63,f99]) ).

thf(f99,plain,
    ( ! [X0: a] :
        ( ( $false
          = ( cQ @ X0 @ sK5 ) )
        | ( ( sK0 @ sK7 @ X0 )
         != $true ) )
    | spl8_4 ),
    inference(trivial_inequality_removal,[],[f97]) ).

thf(f97,plain,
    ( ! [X0: a] :
        ( ( $true != $true )
        | ( $false
          = ( cQ @ X0 @ sK5 ) )
        | ( ( sK0 @ sK7 @ X0 )
         != $true ) )
    | spl8_4 ),
    inference(superposition,[],[f93,f25]) ).

thf(f93,plain,
    ( ( ( sK0 @ sK7 @ sK5 )
     != $true )
    | spl8_4 ),
    inference(trivial_inequality_removal,[],[f92]) ).

thf(f92,plain,
    ( ( ( sK0 @ sK7 @ sK5 )
     != $true )
    | ( $true != $true )
    | spl8_4 ),
    inference(superposition,[],[f42,f63]) ).

thf(f42,plain,
    ( ( ( cQ @ sK5 @ sK7 )
     != $true )
    | spl8_4 ),
    inference(avatar_component_clause,[],[f40]) ).

thf(f40,plain,
    ( spl8_4
  <=> ( ( cQ @ sK5 @ sK7 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).

thf(f63,plain,
    ! [X0: a,X1: a] :
      ( ( ( cQ @ X1 @ X0 )
        = $true )
      | ( ( sK0 @ X0 @ X1 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f56]) ).

thf(f56,plain,
    ! [X0: a,X1: a] :
      ( ( ( cQ @ X1 @ X0 )
        = $true )
      | ( ( sK0 @ X0 @ X1 )
       != $true )
      | ( $false = $true ) ),
    inference(superposition,[],[f24,f23]) ).

thf(f24,plain,
    ! [X2: a,X3: a,X1: a] :
      ( ( $false
        = ( sK0 @ X1 @ X3 ) )
      | ( ( sK0 @ X1 @ X2 )
       != $true )
      | ( ( cQ @ X2 @ X3 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f22]) ).

thf(f33,plain,
    ( ( ( cQ @ sK6 @ sK7 )
      = $true )
    | ~ spl8_2 ),
    inference(avatar_component_clause,[],[f31]) ).

thf(f31,plain,
    ( spl8_2
  <=> ( ( cQ @ sK6 @ sK7 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).

thf(f88,plain,
    ( ~ spl8_3
    | spl8_6 ),
    inference(avatar_contradiction_clause,[],[f87]) ).

thf(f87,plain,
    ( $false
    | ~ spl8_3
    | spl8_6 ),
    inference(subsumption_resolution,[],[f81,f23]) ).

thf(f81,plain,
    ( ( ( sK0 @ sK4 @ sK4 )
     != $true )
    | ~ spl8_3
    | spl8_6 ),
    inference(trivial_inequality_removal,[],[f78]) ).

thf(f78,plain,
    ( ( ( sK0 @ sK4 @ sK4 )
     != $true )
    | ( $false = $true )
    | ~ spl8_3
    | spl8_6 ),
    inference(superposition,[],[f76,f37]) ).

thf(f37,plain,
    ( ( ( cQ @ sK4 @ sK3 )
      = $true )
    | ~ spl8_3 ),
    inference(avatar_component_clause,[],[f35]) ).

thf(f35,plain,
    ( spl8_3
  <=> ( ( cQ @ sK4 @ sK3 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).

thf(f76,plain,
    ( ! [X0: a] :
        ( ( $false
          = ( cQ @ X0 @ sK3 ) )
        | ( ( sK0 @ sK4 @ X0 )
         != $true ) )
    | spl8_6 ),
    inference(trivial_inequality_removal,[],[f73]) ).

thf(f73,plain,
    ( ! [X0: a] :
        ( ( $false
          = ( cQ @ X0 @ sK3 ) )
        | ( $true != $true )
        | ( ( sK0 @ sK4 @ X0 )
         != $true ) )
    | spl8_6 ),
    inference(superposition,[],[f69,f25]) ).

thf(f69,plain,
    ( ( ( sK0 @ sK4 @ sK3 )
     != $true )
    | spl8_6 ),
    inference(trivial_inequality_removal,[],[f68]) ).

thf(f68,plain,
    ( ( ( sK0 @ sK4 @ sK3 )
     != $true )
    | ( $true != $true )
    | spl8_6 ),
    inference(superposition,[],[f51,f63]) ).

thf(f51,plain,
    ( ( $true
     != ( cQ @ sK3 @ sK4 ) )
    | spl8_6 ),
    inference(avatar_component_clause,[],[f49]) ).

thf(f49,plain,
    ( spl8_6
  <=> ( $true
      = ( cQ @ sK3 @ sK4 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).

thf(f67,plain,
    spl8_1,
    inference(avatar_contradiction_clause,[],[f66]) ).

thf(f66,plain,
    ( $false
    | spl8_1 ),
    inference(subsumption_resolution,[],[f65,f23]) ).

thf(f65,plain,
    ( ( ( sK0 @ sK2 @ sK2 )
     != $true )
    | spl8_1 ),
    inference(trivial_inequality_removal,[],[f64]) ).

thf(f64,plain,
    ( ( ( sK0 @ sK2 @ sK2 )
     != $true )
    | ( $true != $true )
    | spl8_1 ),
    inference(superposition,[],[f29,f63]) ).

thf(f29,plain,
    ( ( ( cQ @ sK2 @ sK2 )
     != $true )
    | spl8_1 ),
    inference(avatar_component_clause,[],[f27]) ).

thf(f27,plain,
    ( spl8_1
  <=> ( ( cQ @ sK2 @ sK2 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

thf(f55,plain,
    ( ~ spl8_1
    | spl8_2
    | ~ spl8_6 ),
    inference(avatar_split_clause,[],[f17,f49,f31,f27]) ).

thf(f17,plain,
    ( ( $true
     != ( cQ @ sK3 @ sK4 ) )
    | ( ( cQ @ sK6 @ sK7 )
      = $true )
    | ( ( cQ @ sK2 @ sK2 )
     != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f54,plain,
    ( ~ spl8_1
    | spl8_5
    | spl8_3 ),
    inference(avatar_split_clause,[],[f19,f35,f45,f27]) ).

thf(f19,plain,
    ( ( ( cQ @ sK4 @ sK3 )
      = $true )
    | ( ( cQ @ sK5 @ sK6 )
      = $true )
    | ( ( cQ @ sK2 @ sK2 )
     != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f53,plain,
    ( ~ spl8_4
    | ~ spl8_6
    | ~ spl8_1 ),
    inference(avatar_split_clause,[],[f15,f27,f49,f40]) ).

thf(f15,plain,
    ( ( $true
     != ( cQ @ sK3 @ sK4 ) )
    | ( ( cQ @ sK5 @ sK7 )
     != $true )
    | ( ( cQ @ sK2 @ sK2 )
     != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f52,plain,
    ( spl8_5
    | ~ spl8_6
    | ~ spl8_1 ),
    inference(avatar_split_clause,[],[f16,f27,f49,f45]) ).

thf(f16,plain,
    ( ( $true
     != ( cQ @ sK3 @ sK4 ) )
    | ( ( cQ @ sK5 @ sK6 )
      = $true )
    | ( ( cQ @ sK2 @ sK2 )
     != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f43,plain,
    ( ~ spl8_1
    | spl8_3
    | ~ spl8_4 ),
    inference(avatar_split_clause,[],[f18,f40,f35,f27]) ).

thf(f18,plain,
    ( ( ( cQ @ sK4 @ sK3 )
      = $true )
    | ( ( cQ @ sK5 @ sK7 )
     != $true )
    | ( ( cQ @ sK2 @ sK2 )
     != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f38,plain,
    ( ~ spl8_1
    | spl8_2
    | spl8_3 ),
    inference(avatar_split_clause,[],[f20,f35,f31,f27]) ).

thf(f20,plain,
    ( ( ( cQ @ sK6 @ sK7 )
      = $true )
    | ( ( cQ @ sK4 @ sK3 )
      = $true )
    | ( ( cQ @ sK2 @ sK2 )
     != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem    : SEV218^5 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.31  % Computer : n004.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 11:52:33 EDT 2024
% 0.16/0.31  % CPUTime    : 
% 0.16/0.32  This is a TH0_THM_NEQ_NAR problem
% 0.16/0.32  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.OfbnS5h5BH/Vampire---4.8_7493
% 0.16/0.33  % (7606)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (3000ds/275Mi)
% 0.16/0.33  % (7601)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.16/0.33  % (7604)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.16/0.33  % (7603)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (3000ds/27Mi)
% 0.16/0.33  % (7605)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.16/0.33  % (7607)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.16/0.33  % (7608)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (3000ds/3Mi)
% 0.16/0.33  % (7604)Instruction limit reached!
% 0.16/0.33  % (7604)------------------------------
% 0.16/0.33  % (7604)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33  % (7604)Termination reason: Unknown
% 0.16/0.33  % (7604)Termination phase: Saturation
% 0.16/0.33  % (7605)Instruction limit reached!
% 0.16/0.33  % (7605)------------------------------
% 0.16/0.33  % (7605)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33  % (7605)Termination reason: Unknown
% 0.16/0.33  % (7605)Termination phase: Saturation
% 0.16/0.33  
% 0.16/0.33  % (7605)Memory used [KB]: 5500
% 0.16/0.33  % (7605)Time elapsed: 0.003 s
% 0.16/0.33  % (7605)Instructions burned: 2 (million)
% 0.16/0.33  % (7605)------------------------------
% 0.16/0.33  % (7605)------------------------------
% 0.16/0.33  
% 0.16/0.33  % (7604)Memory used [KB]: 5500
% 0.16/0.33  % (7604)Time elapsed: 0.003 s
% 0.16/0.33  % (7604)Instructions burned: 2 (million)
% 0.16/0.33  % (7604)------------------------------
% 0.16/0.33  % (7604)------------------------------
% 0.16/0.34  % (7608)Instruction limit reached!
% 0.16/0.34  % (7608)------------------------------
% 0.16/0.34  % (7608)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.34  % (7608)Termination reason: Unknown
% 0.16/0.34  % (7608)Termination phase: Saturation
% 0.16/0.34  
% 0.16/0.34  % (7608)Memory used [KB]: 5500
% 0.16/0.34  % (7608)Time elapsed: 0.003 s
% 0.16/0.34  % (7608)Instructions burned: 3 (million)
% 0.16/0.34  % (7608)------------------------------
% 0.16/0.34  % (7608)------------------------------
% 0.16/0.34  % (7602)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (3000ds/4Mi)
% 0.16/0.34  % (7602)Instruction limit reached!
% 0.16/0.34  % (7602)------------------------------
% 0.16/0.34  % (7602)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.34  % (7602)Termination reason: Unknown
% 0.16/0.34  % (7602)Termination phase: Saturation
% 0.16/0.34  
% 0.16/0.34  % (7602)Memory used [KB]: 5500
% 0.16/0.34  % (7602)Time elapsed: 0.004 s
% 0.16/0.34  % (7602)Instructions burned: 4 (million)
% 0.16/0.34  % (7602)------------------------------
% 0.16/0.34  % (7602)------------------------------
% 0.16/0.34  % (7601)First to succeed.
% 0.16/0.34  % (7607)Also succeeded, but the first one will report.
% 0.16/0.35  % (7601)Refutation found. Thanks to Tanya!
% 0.16/0.35  % SZS status Theorem for Vampire---4
% 0.16/0.35  % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.35  % (7601)------------------------------
% 0.16/0.35  % (7601)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.35  % (7601)Termination reason: Refutation
% 0.16/0.35  
% 0.16/0.35  % (7601)Memory used [KB]: 5628
% 0.16/0.35  % (7601)Time elapsed: 0.014 s
% 0.16/0.35  % (7601)Instructions burned: 18 (million)
% 0.16/0.35  % (7601)------------------------------
% 0.16/0.35  % (7601)------------------------------
% 0.16/0.35  % (7600)Success in time 0.021 s
% 0.16/0.35  % Vampire---4.8 exiting
%------------------------------------------------------------------------------