TSTP Solution File: SEV019^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV019^5 : 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 : n020.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 04:11:42 EDT 2024

% Result   : Theorem 0.14s 0.39s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   79 (   3 unt;  11 typ;   0 def)
%            Number of atoms       :  535 ( 154 equ;   0 cnn)
%            Maximal formula atoms :   10 (   7 avg)
%            Number of connectives :  639 ( 108   ~; 107   |;  54   &; 340   @)
%                                         (   9 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  15 usr;  14 con; 0-2 aty)
%            Number of variables   :  123 (   0   ^  81   !;  42   ?; 123   :)

% 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(f188,plain,
    $false,
    inference(avatar_sat_refutation,[],[f38,f43,f48,f53,f54,f55,f67,f151,f187]) ).

thf(f187,plain,
    ( ~ spl8_1
    | spl8_6 ),
    inference(avatar_contradiction_clause,[],[f186]) ).

thf(f186,plain,
    ( $false
    | ~ spl8_1
    | spl8_6 ),
    inference(subsumption_resolution,[],[f185,f15]) ).

thf(f15,plain,
    ! [X6: a] :
      ( ( sK6 @ X6 @ X6 )
      = $true ),
    inference(cnf_transformation,[],[f14]) ).

thf(f14,plain,
    ( ( ( ( cQ @ sK0 @ sK0 )
       != $true )
      | ( ( ( cQ @ sK2 @ sK1 )
         != $true )
        & ( ( cQ @ sK1 @ sK2 )
          = $true ) )
      | ( ( ( cQ @ sK5 @ sK3 )
         != $true )
        & ( ( cQ @ sK5 @ sK4 )
          = $true )
        & ( ( cQ @ sK4 @ sK3 )
          = $true ) ) )
    & ! [X6: a] :
        ( ( ( sK6 @ X6 @ ( sK7 @ X6 ) )
          = $true )
        & ! [X9: a] :
            ( ! [X10: a] :
                ( ( cQ @ X9 @ X10 )
                = ( sK6 @ X6 @ X10 ) )
            | ( ( sK6 @ X6 @ X9 )
             != $true ) )
        & ( ( sK6 @ X6 @ X6 )
          = $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] :
        ( ( cQ @ X0 @ X0 )
       != $true )
   => ( ( cQ @ sK0 @ sK0 )
     != $true ) ),
    introduced(choice_axiom,[]) ).

thf(f10,plain,
    ( ? [X1: a,X2: a] :
        ( ( ( cQ @ X2 @ X1 )
         != $true )
        & ( ( cQ @ X1 @ X2 )
          = $true ) )
   => ( ( ( cQ @ sK2 @ sK1 )
       != $true )
      & ( ( cQ @ sK1 @ sK2 )
        = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ( ? [X3: a,X4: a,X5: a] :
        ( ( ( cQ @ X5 @ X3 )
         != $true )
        & ( ( cQ @ X5 @ X4 )
          = $true )
        & ( ( cQ @ X4 @ X3 )
          = $true ) )
   => ( ( ( cQ @ sK5 @ sK3 )
       != $true )
      & ( ( cQ @ sK5 @ sK4 )
        = $true )
      & ( ( cQ @ sK4 @ sK3 )
        = $true ) ) ),
    introduced(choice_axiom,[]) ).

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

thf(f13,plain,
    ! [X6: a] :
      ( ? [X8: a] :
          ( ( sK6 @ X6 @ X8 )
          = $true )
     => ( ( sK6 @ X6 @ ( sK7 @ X6 ) )
        = $true ) ),
    introduced(choice_axiom,[]) ).

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

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

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

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

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

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

thf(f1,conjecture,
    ( ! [X0: a] :
      ? [X1: a > $o] :
        ( ( X1 @ X0 )
        & ? [X2: a] : ( X1 @ X2 )
        & ! [X3: a] :
            ( ( X1 @ X3 )
           => ! [X4: a] :
                ( ( cQ @ X3 @ X4 )
              <=> ( X1 @ X4 ) ) ) )
   => ( ! [X0: a] : ( cQ @ X0 @ X0 )
      & ! [X4: a,X2: a,X0: a] :
          ( ( ( cQ @ X4 @ X2 )
            & ( cQ @ X0 @ X4 ) )
         => ( cQ @ X0 @ X2 ) )
      & ! [X0: a,X4: a] :
          ( ( cQ @ X0 @ X4 )
         => ( cQ @ X4 @ X0 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM559_pme) ).

thf(f185,plain,
    ( ( ( sK6 @ sK1 @ sK1 )
     != $true )
    | ~ spl8_1
    | spl8_6 ),
    inference(trivial_inequality_removal,[],[f180]) ).

thf(f180,plain,
    ( ( $true != $true )
    | ( ( sK6 @ sK1 @ sK1 )
     != $true )
    | ~ spl8_1
    | spl8_6 ),
    inference(superposition,[],[f71,f155]) ).

thf(f155,plain,
    ( ! [X0: a] :
        ( ( ( sK6 @ X0 @ sK2 )
          = $true )
        | ( ( sK6 @ X0 @ sK1 )
         != $true ) )
    | ~ spl8_1 ),
    inference(trivial_inequality_removal,[],[f153]) ).

thf(f153,plain,
    ( ! [X0: a] :
        ( ( ( sK6 @ X0 @ sK2 )
          = $true )
        | ( $false = $true )
        | ( ( sK6 @ X0 @ sK1 )
         != $true ) )
    | ~ spl8_1 ),
    inference(superposition,[],[f25,f29]) ).

thf(f29,plain,
    ( ( ( cQ @ sK1 @ sK2 )
      = $true )
    | ~ spl8_1 ),
    inference(avatar_component_clause,[],[f27]) ).

thf(f27,plain,
    ( spl8_1
  <=> ( ( cQ @ sK1 @ sK2 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

thf(f25,plain,
    ! [X10: a,X6: a,X9: a] :
      ( ( $false
        = ( cQ @ X9 @ X10 ) )
      | ( ( sK6 @ X6 @ X9 )
       != $true )
      | ( ( sK6 @ X6 @ X10 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f16]) ).

thf(f16,plain,
    ! [X10: a,X6: a,X9: a] :
      ( ( ( cQ @ X9 @ X10 )
        = ( sK6 @ X6 @ X10 ) )
      | ( ( sK6 @ X6 @ X9 )
       != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f71,plain,
    ( ( ( sK6 @ sK1 @ sK2 )
     != $true )
    | spl8_6 ),
    inference(trivial_inequality_removal,[],[f70]) ).

thf(f70,plain,
    ( ( ( sK6 @ sK1 @ sK2 )
     != $true )
    | ( $true != $true )
    | spl8_6 ),
    inference(superposition,[],[f52,f63]) ).

thf(f63,plain,
    ! [X0: a,X1: a] :
      ( ( ( cQ @ X1 @ X0 )
        = $true )
      | ( ( sK6 @ X0 @ X1 )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f58]) ).

thf(f58,plain,
    ! [X0: a,X1: a] :
      ( ( ( cQ @ X1 @ X0 )
        = $true )
      | ( $false = $true )
      | ( ( sK6 @ X0 @ X1 )
       != $true ) ),
    inference(superposition,[],[f15,f24]) ).

thf(f24,plain,
    ! [X10: a,X6: a,X9: a] :
      ( ( $false
        = ( sK6 @ X6 @ X10 ) )
      | ( ( sK6 @ X6 @ X9 )
       != $true )
      | ( ( cQ @ X9 @ X10 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f16]) ).

thf(f52,plain,
    ( ( ( cQ @ sK2 @ sK1 )
     != $true )
    | spl8_6 ),
    inference(avatar_component_clause,[],[f50]) ).

thf(f50,plain,
    ( spl8_6
  <=> ( ( cQ @ sK2 @ sK1 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).

thf(f151,plain,
    ( spl8_2
    | ~ spl8_4
    | ~ spl8_5 ),
    inference(avatar_contradiction_clause,[],[f150]) ).

thf(f150,plain,
    ( $false
    | spl8_2
    | ~ spl8_4
    | ~ spl8_5 ),
    inference(trivial_inequality_removal,[],[f146]) ).

thf(f146,plain,
    ( ( $true != $true )
    | spl8_2
    | ~ spl8_4
    | ~ spl8_5 ),
    inference(superposition,[],[f145,f15]) ).

thf(f145,plain,
    ( ! [X0: a] :
        ( ( sK6 @ X0 @ sK5 )
       != $true )
    | spl8_2
    | ~ spl8_4
    | ~ spl8_5 ),
    inference(subsumption_resolution,[],[f144,f93]) ).

thf(f93,plain,
    ( ! [X0: a] :
        ( ( ( sK6 @ X0 @ sK4 )
          = $true )
        | ( ( sK6 @ X0 @ sK5 )
         != $true ) )
    | ~ spl8_5 ),
    inference(trivial_inequality_removal,[],[f85]) ).

thf(f85,plain,
    ( ! [X0: a] :
        ( ( ( sK6 @ X0 @ sK5 )
         != $true )
        | ( ( sK6 @ X0 @ sK4 )
          = $true )
        | ( $false = $true ) )
    | ~ spl8_5 ),
    inference(superposition,[],[f47,f25]) ).

thf(f47,plain,
    ( ( ( cQ @ sK5 @ sK4 )
      = $true )
    | ~ spl8_5 ),
    inference(avatar_component_clause,[],[f45]) ).

thf(f45,plain,
    ( spl8_5
  <=> ( ( cQ @ sK5 @ sK4 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).

thf(f144,plain,
    ( ! [X0: a] :
        ( ( ( sK6 @ X0 @ sK4 )
         != $true )
        | ( ( sK6 @ X0 @ sK5 )
         != $true ) )
    | spl8_2
    | ~ spl8_4 ),
    inference(trivial_inequality_removal,[],[f141]) ).

thf(f141,plain,
    ( ! [X0: a] :
        ( ( $true != $true )
        | ( ( sK6 @ X0 @ sK5 )
         != $true )
        | ( ( sK6 @ X0 @ sK4 )
         != $true ) )
    | spl8_2
    | ~ spl8_4 ),
    inference(superposition,[],[f33,f97]) ).

thf(f97,plain,
    ( ! [X0: a,X1: a] :
        ( ( ( cQ @ X1 @ sK3 )
          = $true )
        | ( ( sK6 @ X0 @ sK4 )
         != $true )
        | ( ( sK6 @ X0 @ X1 )
         != $true ) )
    | ~ spl8_4 ),
    inference(trivial_inequality_removal,[],[f94]) ).

thf(f94,plain,
    ( ! [X0: a,X1: a] :
        ( ( ( cQ @ X1 @ sK3 )
          = $true )
        | ( $false = $true )
        | ( ( sK6 @ X0 @ sK4 )
         != $true )
        | ( ( sK6 @ X0 @ X1 )
         != $true ) )
    | ~ spl8_4 ),
    inference(superposition,[],[f88,f24]) ).

thf(f88,plain,
    ( ! [X0: a] :
        ( ( ( sK6 @ X0 @ sK3 )
          = $true )
        | ( ( sK6 @ X0 @ sK4 )
         != $true ) )
    | ~ spl8_4 ),
    inference(trivial_inequality_removal,[],[f77]) ).

thf(f77,plain,
    ( ! [X0: a] :
        ( ( ( sK6 @ X0 @ sK4 )
         != $true )
        | ( $false = $true )
        | ( ( sK6 @ X0 @ sK3 )
          = $true ) )
    | ~ spl8_4 ),
    inference(superposition,[],[f25,f42]) ).

thf(f42,plain,
    ( ( ( cQ @ sK4 @ sK3 )
      = $true )
    | ~ spl8_4 ),
    inference(avatar_component_clause,[],[f40]) ).

thf(f40,plain,
    ( spl8_4
  <=> ( ( cQ @ sK4 @ sK3 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).

thf(f33,plain,
    ( ( ( cQ @ sK5 @ sK3 )
     != $true )
    | spl8_2 ),
    inference(avatar_component_clause,[],[f31]) ).

thf(f31,plain,
    ( spl8_2
  <=> ( ( cQ @ sK5 @ sK3 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).

thf(f67,plain,
    spl8_3,
    inference(avatar_contradiction_clause,[],[f66]) ).

thf(f66,plain,
    ( $false
    | spl8_3 ),
    inference(subsumption_resolution,[],[f65,f15]) ).

thf(f65,plain,
    ( ( ( sK6 @ sK0 @ sK0 )
     != $true )
    | spl8_3 ),
    inference(trivial_inequality_removal,[],[f64]) ).

thf(f64,plain,
    ( ( ( sK6 @ sK0 @ sK0 )
     != $true )
    | ( $true != $true )
    | spl8_3 ),
    inference(superposition,[],[f37,f63]) ).

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

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

thf(f55,plain,
    ( spl8_4
    | ~ spl8_6
    | ~ spl8_3 ),
    inference(avatar_split_clause,[],[f21,f35,f50,f40]) ).

thf(f21,plain,
    ( ( ( cQ @ sK0 @ sK0 )
     != $true )
    | ( ( cQ @ sK2 @ sK1 )
     != $true )
    | ( ( cQ @ sK4 @ sK3 )
      = $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f54,plain,
    ( ~ spl8_2
    | ~ spl8_3
    | ~ spl8_6 ),
    inference(avatar_split_clause,[],[f23,f50,f35,f31]) ).

thf(f23,plain,
    ( ( ( cQ @ sK2 @ sK1 )
     != $true )
    | ( ( cQ @ sK5 @ sK3 )
     != $true )
    | ( ( cQ @ sK0 @ sK0 )
     != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f53,plain,
    ( ~ spl8_6
    | ~ spl8_3
    | spl8_5 ),
    inference(avatar_split_clause,[],[f22,f45,f35,f50]) ).

thf(f22,plain,
    ( ( ( cQ @ sK2 @ sK1 )
     != $true )
    | ( ( cQ @ sK5 @ sK4 )
      = $true )
    | ( ( cQ @ sK0 @ sK0 )
     != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f48,plain,
    ( ~ spl8_3
    | spl8_1
    | spl8_5 ),
    inference(avatar_split_clause,[],[f19,f45,f27,f35]) ).

thf(f19,plain,
    ( ( ( cQ @ sK1 @ sK2 )
      = $true )
    | ( ( cQ @ sK5 @ sK4 )
      = $true )
    | ( ( cQ @ sK0 @ sK0 )
     != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

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

thf(f18,plain,
    ( ( ( cQ @ sK0 @ sK0 )
     != $true )
    | ( ( cQ @ sK1 @ sK2 )
      = $true )
    | ( ( cQ @ sK4 @ sK3 )
      = $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 @ sK5 @ sK3 )
     != $true )
    | ( ( cQ @ sK1 @ sK2 )
      = $true )
    | ( ( cQ @ sK0 @ sK0 )
     != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SEV019^5 : 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
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 19:03:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  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
% 0.14/0.37  % (1897)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.37  % (1893)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 (2999ds/4Mi)
% 0.14/0.37  % (1892)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37  % (1898)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.37  % (1896)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38  % (1894)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 theBenchmark for (2999ds/27Mi)
% 0.14/0.38  % (1899)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.38  % (1896)Instruction limit reached!
% 0.14/0.38  % (1896)------------------------------
% 0.14/0.38  % (1896)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (1896)Termination reason: Unknown
% 0.14/0.38  % (1896)Termination phase: shuffling
% 0.14/0.38  
% 0.14/0.38  % (1896)Memory used [KB]: 895
% 0.14/0.38  % (1895)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38  % (1896)Time elapsed: 0.003 s
% 0.14/0.38  % (1896)Instructions burned: 2 (million)
% 0.14/0.38  % (1896)------------------------------
% 0.14/0.38  % (1896)------------------------------
% 0.14/0.38  % (1895)Instruction limit reached!
% 0.14/0.38  % (1895)------------------------------
% 0.14/0.38  % (1895)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (1895)Termination reason: Unknown
% 0.14/0.38  % (1895)Termination phase: Preprocessing 3
% 0.14/0.38  
% 0.14/0.38  % (1895)Memory used [KB]: 895
% 0.14/0.38  % (1895)Time elapsed: 0.003 s
% 0.14/0.38  % (1895)Instructions burned: 2 (million)
% 0.14/0.38  % (1895)------------------------------
% 0.14/0.38  % (1895)------------------------------
% 0.14/0.38  % (1893)Instruction limit reached!
% 0.14/0.38  % (1893)------------------------------
% 0.14/0.38  % (1893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (1893)Termination reason: Unknown
% 0.14/0.38  % (1893)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (1893)Memory used [KB]: 5500
% 0.14/0.38  % (1893)Time elapsed: 0.005 s
% 0.14/0.38  % (1893)Instructions burned: 4 (million)
% 0.14/0.38  % (1893)------------------------------
% 0.14/0.38  % (1893)------------------------------
% 0.14/0.38  % (1899)Instruction limit reached!
% 0.14/0.38  % (1899)------------------------------
% 0.14/0.38  % (1899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (1899)Termination reason: Unknown
% 0.14/0.38  % (1899)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (1899)Memory used [KB]: 5500
% 0.14/0.38  % (1899)Time elapsed: 0.005 s
% 0.14/0.38  % (1899)Instructions burned: 3 (million)
% 0.14/0.38  % (1899)------------------------------
% 0.14/0.38  % (1899)------------------------------
% 0.14/0.39  % (1892)First to succeed.
% 0.14/0.39  % (1898)Instruction limit reached!
% 0.14/0.39  % (1898)------------------------------
% 0.14/0.39  % (1898)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (1898)Termination reason: Unknown
% 0.14/0.39  % (1898)Termination phase: Saturation
% 0.14/0.39  
% 0.14/0.39  % (1898)Memory used [KB]: 5628
% 0.14/0.39  % (1898)Time elapsed: 0.015 s
% 0.14/0.39  % (1898)Instructions burned: 19 (million)
% 0.14/0.39  % (1898)------------------------------
% 0.14/0.39  % (1898)------------------------------
% 0.14/0.39  % (1892)Refutation found. Thanks to Tanya!
% 0.14/0.39  % SZS status Theorem for theBenchmark
% 0.14/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39  % (1892)------------------------------
% 0.14/0.39  % (1892)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (1892)Termination reason: Refutation
% 0.14/0.39  
% 0.14/0.39  % (1892)Memory used [KB]: 5628
% 0.14/0.39  % (1892)Time elapsed: 0.017 s
% 0.14/0.39  % (1892)Instructions burned: 18 (million)
% 0.14/0.39  % (1892)------------------------------
% 0.14/0.39  % (1892)------------------------------
% 0.14/0.39  % (1884)Success in time 0.028 s
% 0.14/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------