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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV218^5 : TPTP v8.2.0. 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 : n008.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 : Tue May 21 04:12:26 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   81 (   3 unt;  11 typ;   0 def)
%            Number of atoms       :  548 ( 157 equ;   0 cnn)
%            Maximal formula atoms :   10 (   7 avg)
%            Number of connectives :  678 ( 106   ~; 112   |;  54   &; 376   @)
%                                         (   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   :  122 (   0   ^  80   !;  42   ?; 122   :)

% 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 ).

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

thf(func_def_12,type,
    sK7: a > a ).

thf(f117,plain,
    $false,
    inference(avatar_sat_refutation,[],[f38,f43,f48,f53,f54,f55,f69,f101,f116]) ).

thf(f116,plain,
    ( spl8_2
    | ~ spl8_6 ),
    inference(avatar_contradiction_clause,[],[f115]) ).

thf(f115,plain,
    ( $false
    | spl8_2
    | ~ spl8_6 ),
    inference(subsumption_resolution,[],[f114,f17]) ).

thf(f17,plain,
    ! [X7: a] :
      ( ( sK6 @ X7 @ X7 )
      = $true ),
    inference(cnf_transformation,[],[f14]) ).

thf(f14,plain,
    ( ( ( ( $true
         != ( cQ @ sK2 @ sK1 ) )
        & ( $true
          = ( cQ @ sK2 @ sK0 ) )
        & ( $true
          = ( cQ @ sK0 @ sK1 ) ) )
      | ( ( ( cQ @ sK4 @ sK3 )
          = $true )
        & ( $true
         != ( cQ @ sK3 @ sK4 ) ) )
      | ( $true
       != ( cQ @ sK5 @ sK5 ) ) )
    & ! [X7: a] :
        ( ( ( sK6 @ X7 @ X7 )
          = $true )
        & ( $true
          = ( sK6 @ X7 @ ( sK7 @ X7 ) ) )
        & ! [X9: a] :
            ( ! [X10: a] :
                ( ( sK6 @ X7 @ X10 )
                = ( cQ @ X9 @ X10 ) )
            | ( $true
             != ( sK6 @ X7 @ X9 ) ) ) ) ),
    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,X1: a,X2: a] :
        ( ( $true
         != ( cQ @ X2 @ X1 ) )
        & ( ( cQ @ X2 @ X0 )
          = $true )
        & ( $true
          = ( cQ @ X0 @ X1 ) ) )
   => ( ( $true
       != ( cQ @ sK2 @ sK1 ) )
      & ( $true
        = ( cQ @ sK2 @ sK0 ) )
      & ( $true
        = ( cQ @ sK0 @ sK1 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f10,plain,
    ( ? [X3: a,X4: a] :
        ( ( $true
          = ( cQ @ X4 @ X3 ) )
        & ( ( cQ @ X3 @ X4 )
         != $true ) )
   => ( ( ( cQ @ sK4 @ sK3 )
        = $true )
      & ( $true
       != ( cQ @ sK3 @ sK4 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ( ? [X5: a] :
        ( ( cQ @ X5 @ X5 )
       != $true )
   => ( $true
     != ( cQ @ sK5 @ sK5 ) ) ),
    introduced(choice_axiom,[]) ).

thf(f12,plain,
    ( ? [X6: a > a > $o] :
      ! [X7: a] :
        ( ( $true
          = ( X6 @ X7 @ X7 ) )
        & ? [X8: a] :
            ( ( X6 @ X7 @ X8 )
            = $true )
        & ! [X9: a] :
            ( ! [X10: a] :
                ( ( X6 @ X7 @ X10 )
                = ( cQ @ X9 @ X10 ) )
            | ( ( X6 @ X7 @ X9 )
             != $true ) ) )
   => ! [X7: a] :
        ( ( ( sK6 @ X7 @ X7 )
          = $true )
        & ? [X8: a] :
            ( $true
            = ( sK6 @ X7 @ X8 ) )
        & ! [X9: a] :
            ( ! [X10: a] :
                ( ( sK6 @ X7 @ X10 )
                = ( cQ @ X9 @ X10 ) )
            | ( $true
             != ( sK6 @ X7 @ X9 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f13,plain,
    ! [X7: a] :
      ( ? [X8: a] :
          ( $true
          = ( sK6 @ X7 @ X8 ) )
     => ( $true
        = ( sK6 @ X7 @ ( sK7 @ X7 ) ) ) ),
    introduced(choice_axiom,[]) ).

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

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

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

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

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

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

thf(f1,conjecture,
    ( ? [X0: a > a > $o] :
      ! [X1: a] :
        ( ( X0 @ X1 @ X1 )
        & ? [X2: a] : ( X0 @ X1 @ X2 )
        & ! [X3: a] :
            ( ( X0 @ X1 @ X3 )
           => ! [X4: a] :
                ( ( cQ @ X3 @ X4 )
              <=> ( X0 @ X1 @ X4 ) ) ) )
   => ( ! [X1: a] : ( cQ @ X1 @ X1 )
      & ! [X1: a,X4: a,X2: a] :
          ( ( ( cQ @ X1 @ X4 )
            & ( cQ @ X4 @ X2 ) )
         => ( cQ @ X1 @ X2 ) )
      & ! [X4: a,X1: a] :
          ( ( cQ @ X1 @ X4 )
         => ( cQ @ X4 @ X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM559A_pme) ).

thf(f114,plain,
    ( ( $true
     != ( sK6 @ sK4 @ sK4 ) )
    | spl8_2
    | ~ spl8_6 ),
    inference(trivial_inequality_removal,[],[f113]) ).

thf(f113,plain,
    ( ( $true
     != ( sK6 @ sK4 @ sK4 ) )
    | ( $true != $true )
    | spl8_2
    | ~ spl8_6 ),
    inference(superposition,[],[f89,f108]) ).

thf(f108,plain,
    ( ! [X0: a] :
        ( ( $true
          = ( sK6 @ X0 @ sK3 ) )
        | ( $true
         != ( sK6 @ X0 @ sK4 ) ) )
    | ~ spl8_6 ),
    inference(trivial_inequality_removal,[],[f106]) ).

thf(f106,plain,
    ( ! [X0: a] :
        ( ( $true
         != ( sK6 @ X0 @ sK4 ) )
        | ( $false = $true )
        | ( $true
          = ( sK6 @ X0 @ sK3 ) ) )
    | ~ spl8_6 ),
    inference(superposition,[],[f24,f52]) ).

thf(f52,plain,
    ( ( ( cQ @ sK4 @ sK3 )
      = $true )
    | ~ spl8_6 ),
    inference(avatar_component_clause,[],[f50]) ).

thf(f50,plain,
    ( spl8_6
  <=> ( ( cQ @ sK4 @ sK3 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).

thf(f24,plain,
    ! [X10: a,X9: a,X7: a] :
      ( ( $false
        = ( cQ @ X9 @ X10 ) )
      | ( ( sK6 @ X7 @ X10 )
        = $true )
      | ( $true
       != ( sK6 @ X7 @ X9 ) ) ),
    inference(binary_proxy_clausification,[],[f15]) ).

thf(f15,plain,
    ! [X10: a,X9: a,X7: a] :
      ( ( ( sK6 @ X7 @ X10 )
        = ( cQ @ X9 @ X10 ) )
      | ( $true
       != ( sK6 @ X7 @ X9 ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f89,plain,
    ( ( $true
     != ( sK6 @ sK4 @ sK3 ) )
    | spl8_2 ),
    inference(trivial_inequality_removal,[],[f86]) ).

thf(f86,plain,
    ( ( $true
     != ( sK6 @ sK4 @ sK3 ) )
    | ( $false = $true )
    | spl8_2 ),
    inference(superposition,[],[f74,f17]) ).

thf(f74,plain,
    ( ! [X0: a] :
        ( ( $false
          = ( sK6 @ X0 @ sK4 ) )
        | ( $true
         != ( sK6 @ X0 @ sK3 ) ) )
    | spl8_2 ),
    inference(trivial_inequality_removal,[],[f72]) ).

thf(f72,plain,
    ( ! [X0: a] :
        ( ( $true
         != ( sK6 @ X0 @ sK3 ) )
        | ( $false
          = ( sK6 @ X0 @ sK4 ) )
        | ( $true != $true ) )
    | spl8_2 ),
    inference(superposition,[],[f33,f25]) ).

thf(f25,plain,
    ! [X10: a,X9: a,X7: a] :
      ( ( $true
        = ( cQ @ X9 @ X10 ) )
      | ( $false
        = ( sK6 @ X7 @ X10 ) )
      | ( $true
       != ( sK6 @ X7 @ X9 ) ) ),
    inference(binary_proxy_clausification,[],[f15]) ).

thf(f33,plain,
    ( ( $true
     != ( cQ @ sK3 @ sK4 ) )
    | spl8_2 ),
    inference(avatar_component_clause,[],[f31]) ).

thf(f31,plain,
    ( spl8_2
  <=> ( $true
      = ( cQ @ sK3 @ sK4 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).

thf(f101,plain,
    ( ~ spl8_3
    | spl8_4
    | ~ spl8_5 ),
    inference(avatar_contradiction_clause,[],[f100]) ).

thf(f100,plain,
    ( $false
    | ~ spl8_3
    | spl8_4
    | ~ spl8_5 ),
    inference(trivial_inequality_removal,[],[f99]) ).

thf(f99,plain,
    ( ( $true != $true )
    | ~ spl8_3
    | spl8_4
    | ~ spl8_5 ),
    inference(superposition,[],[f98,f17]) ).

thf(f98,plain,
    ( ! [X0: a] :
        ( $true
       != ( sK6 @ X0 @ sK2 ) )
    | ~ spl8_3
    | spl8_4
    | ~ spl8_5 ),
    inference(subsumption_resolution,[],[f97,f78]) ).

thf(f78,plain,
    ( ! [X0: a] :
        ( ( $true
          = ( sK6 @ X0 @ sK0 ) )
        | ( $true
         != ( sK6 @ X0 @ sK2 ) ) )
    | ~ spl8_3 ),
    inference(trivial_inequality_removal,[],[f76]) ).

thf(f76,plain,
    ( ! [X0: a] :
        ( ( $true
         != ( sK6 @ X0 @ sK2 ) )
        | ( $true
          = ( sK6 @ X0 @ sK0 ) )
        | ( $false = $true ) )
    | ~ spl8_3 ),
    inference(superposition,[],[f24,f37]) ).

thf(f37,plain,
    ( ( $true
      = ( cQ @ sK2 @ sK0 ) )
    | ~ spl8_3 ),
    inference(avatar_component_clause,[],[f35]) ).

thf(f35,plain,
    ( spl8_3
  <=> ( $true
      = ( cQ @ sK2 @ sK0 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).

thf(f97,plain,
    ( ! [X0: a] :
        ( ( $true
         != ( sK6 @ X0 @ sK0 ) )
        | ( $true
         != ( sK6 @ X0 @ sK2 ) ) )
    | spl8_4
    | ~ spl8_5 ),
    inference(trivial_inequality_removal,[],[f95]) ).

thf(f95,plain,
    ( ! [X0: a] :
        ( ( $true
         != ( sK6 @ X0 @ sK2 ) )
        | ( $false = $true )
        | ( $true
         != ( sK6 @ X0 @ sK0 ) ) )
    | spl8_4
    | ~ spl8_5 ),
    inference(superposition,[],[f81,f85]) ).

thf(f85,plain,
    ( ! [X0: a] :
        ( ( ( sK6 @ X0 @ sK1 )
          = $true )
        | ( $true
         != ( sK6 @ X0 @ sK0 ) ) )
    | ~ spl8_5 ),
    inference(trivial_inequality_removal,[],[f82]) ).

thf(f82,plain,
    ( ! [X0: a] :
        ( ( $false = $true )
        | ( ( sK6 @ X0 @ sK1 )
          = $true )
        | ( $true
         != ( sK6 @ X0 @ sK0 ) ) )
    | ~ spl8_5 ),
    inference(superposition,[],[f47,f24]) ).

thf(f47,plain,
    ( ( $true
      = ( cQ @ sK0 @ sK1 ) )
    | ~ spl8_5 ),
    inference(avatar_component_clause,[],[f45]) ).

thf(f45,plain,
    ( spl8_5
  <=> ( $true
      = ( cQ @ sK0 @ sK1 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).

thf(f81,plain,
    ( ! [X0: a] :
        ( ( $false
          = ( sK6 @ X0 @ sK1 ) )
        | ( $true
         != ( sK6 @ X0 @ sK2 ) ) )
    | spl8_4 ),
    inference(trivial_inequality_removal,[],[f79]) ).

thf(f79,plain,
    ( ! [X0: a] :
        ( ( $false
          = ( sK6 @ X0 @ sK1 ) )
        | ( $true
         != ( sK6 @ X0 @ sK2 ) )
        | ( $true != $true ) )
    | spl8_4 ),
    inference(superposition,[],[f42,f25]) ).

thf(f42,plain,
    ( ( $true
     != ( cQ @ sK2 @ sK1 ) )
    | spl8_4 ),
    inference(avatar_component_clause,[],[f40]) ).

thf(f40,plain,
    ( spl8_4
  <=> ( $true
      = ( cQ @ sK2 @ sK1 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).

thf(f69,plain,
    spl8_1,
    inference(avatar_contradiction_clause,[],[f68]) ).

thf(f68,plain,
    ( $false
    | spl8_1 ),
    inference(subsumption_resolution,[],[f65,f17]) ).

thf(f65,plain,
    ( ( ( sK6 @ sK5 @ sK5 )
     != $true )
    | spl8_1 ),
    inference(trivial_inequality_removal,[],[f64]) ).

thf(f64,plain,
    ( ( $false = $true )
    | ( ( sK6 @ sK5 @ sK5 )
     != $true )
    | spl8_1 ),
    inference(superposition,[],[f17,f61]) ).

thf(f61,plain,
    ( ! [X0: a] :
        ( ( $false
          = ( sK6 @ X0 @ sK5 ) )
        | ( $true
         != ( sK6 @ X0 @ sK5 ) ) )
    | spl8_1 ),
    inference(trivial_inequality_removal,[],[f58]) ).

thf(f58,plain,
    ( ! [X0: a] :
        ( ( $true != $true )
        | ( $true
         != ( sK6 @ X0 @ sK5 ) )
        | ( $false
          = ( sK6 @ X0 @ sK5 ) ) )
    | spl8_1 ),
    inference(superposition,[],[f29,f25]) ).

thf(f29,plain,
    ( ( $true
     != ( cQ @ sK5 @ sK5 ) )
    | spl8_1 ),
    inference(avatar_component_clause,[],[f27]) ).

thf(f27,plain,
    ( spl8_1
  <=> ( $true
      = ( cQ @ sK5 @ sK5 ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

thf(f55,plain,
    ( spl8_6
    | spl8_5
    | ~ spl8_1 ),
    inference(avatar_split_clause,[],[f19,f27,f45,f50]) ).

thf(f19,plain,
    ( ( $true
     != ( cQ @ sK5 @ sK5 ) )
    | ( ( cQ @ sK4 @ sK3 )
      = $true )
    | ( $true
      = ( cQ @ sK0 @ sK1 ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f54,plain,
    ( ~ spl8_1
    | spl8_6
    | ~ spl8_4 ),
    inference(avatar_split_clause,[],[f23,f40,f50,f27]) ).

thf(f23,plain,
    ( ( ( cQ @ sK4 @ sK3 )
      = $true )
    | ( $true
     != ( cQ @ sK2 @ sK1 ) )
    | ( $true
     != ( cQ @ sK5 @ sK5 ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f53,plain,
    ( spl8_3
    | spl8_6
    | ~ spl8_1 ),
    inference(avatar_split_clause,[],[f21,f27,f50,f35]) ).

thf(f21,plain,
    ( ( ( cQ @ sK4 @ sK3 )
      = $true )
    | ( $true
     != ( cQ @ sK5 @ sK5 ) )
    | ( $true
      = ( cQ @ sK2 @ sK0 ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f48,plain,
    ( spl8_5
    | ~ spl8_2
    | ~ spl8_1 ),
    inference(avatar_split_clause,[],[f18,f27,f31,f45]) ).

thf(f18,plain,
    ( ( $true
     != ( cQ @ sK3 @ sK4 ) )
    | ( $true
      = ( cQ @ sK0 @ sK1 ) )
    | ( $true
     != ( cQ @ sK5 @ sK5 ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f43,plain,
    ( ~ spl8_1
    | ~ spl8_2
    | ~ spl8_4 ),
    inference(avatar_split_clause,[],[f22,f40,f31,f27]) ).

thf(f22,plain,
    ( ( $true
     != ( cQ @ sK2 @ sK1 ) )
    | ( $true
     != ( cQ @ sK3 @ sK4 ) )
    | ( $true
     != ( cQ @ sK5 @ sK5 ) ) ),
    inference(cnf_transformation,[],[f14]) ).

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

thf(f20,plain,
    ( ( $true
     != ( cQ @ sK5 @ sK5 ) )
    | ( $true
     != ( cQ @ sK3 @ sK4 ) )
    | ( $true
      = ( cQ @ sK2 @ sK0 ) ) ),
    inference(cnf_transformation,[],[f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SEV218^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.14  % 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
% 0.14/0.34  % Computer : n008.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 18:51:07 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a TH0_THM_NEQ_NAR problem
% 0.14/0.35  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/benchmark/theBenchmark.p
% 0.14/0.36  % (26654)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.36  % (26655)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 theBenchmark for (3000ds/4Mi)
% 0.14/0.37  % (26660)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.37  % (26655)Instruction limit reached!
% 0.14/0.37  % (26655)------------------------------
% 0.14/0.37  % (26655)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (26655)Termination reason: Unknown
% 0.14/0.37  % (26655)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (26655)Memory used [KB]: 5500
% 0.14/0.37  % (26655)Time elapsed: 0.005 s
% 0.14/0.37  % (26655)Instructions burned: 4 (million)
% 0.14/0.37  % (26655)------------------------------
% 0.14/0.37  % (26655)------------------------------
% 0.14/0.37  % (26654)First to succeed.
% 0.14/0.37  % (26657)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.37  % (26657)Instruction limit reached!
% 0.14/0.37  % (26657)------------------------------
% 0.14/0.37  % (26657)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (26657)Termination reason: Unknown
% 0.14/0.37  % (26657)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (26657)Memory used [KB]: 895
% 0.14/0.37  % (26657)Time elapsed: 0.003 s
% 0.14/0.37  % (26657)Instructions burned: 2 (million)
% 0.14/0.37  % (26657)------------------------------
% 0.14/0.37  % (26657)------------------------------
% 0.14/0.38  % (26654)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (26654)------------------------------
% 0.14/0.38  % (26654)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (26654)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (26654)Memory used [KB]: 5628
% 0.14/0.38  % (26654)Time elapsed: 0.011 s
% 0.14/0.38  % (26654)Instructions burned: 10 (million)
% 0.14/0.38  % (26654)------------------------------
% 0.14/0.38  % (26654)------------------------------
% 0.14/0.38  % (26653)Success in time 0.023 s
% 0.14/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------