TSTP Solution File: SEU876^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU876^5 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n027.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 03:52:01 EDT 2024

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   38
% Syntax   : Number of formulae    :  159 (   3 unt;  15 typ;   0 def)
%            Number of atoms       : 2040 ( 633 equ;   0 cnn)
%            Maximal formula atoms :   25 (  14 avg)
%            Number of connectives : 1983 ( 375   ~; 467   |; 152   &; 894   @)
%                                         (  12 <=>;  83  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  212 ( 212   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   29 (  26 usr;  16 con; 0-2 aty)
%            Number of variables   :  361 ( 102   ^ 200   !;  58   ?; 361   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

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

thf(func_def_2,type,
    cA: ( a > $o ) > $o ).

thf(func_def_10,type,
    sP0: ( a > $o ) > $o ).

thf(func_def_12,type,
    sK2: a > $o ).

thf(func_def_13,type,
    sK3: ( a > $o ) > a ).

thf(func_def_14,type,
    sK4: ( a > $o ) > ( a > $o ) > $o ).

thf(func_def_15,type,
    sK5: ( a > $o ) > a > $o ).

thf(func_def_16,type,
    sK6: ( a > $o ) > a ).

thf(func_def_17,type,
    sK7: ( ( a > $o ) > $o ) > a > $o ).

thf(func_def_18,type,
    sK8: ( ( a > $o ) > $o ) > a ).

thf(func_def_19,type,
    sK9: a > $o ).

thf(func_def_21,type,
    ph11: 
      !>[X0: $tType] : X0 ).

thf(func_def_23,type,
    sK12: a ).

thf(f1439,plain,
    $false,
    inference(avatar_sat_refutation,[],[f54,f58,f62,f63,f67,f71,f79,f83,f92,f1056,f1085,f1114,f1396,f1429,f1438]) ).

thf(f1438,plain,
    ( ~ spl10_43
    | ~ spl10_5
    | ~ spl10_44 ),
    inference(avatar_split_clause,[],[f1418,f1053,f65,f1049]) ).

thf(f1049,plain,
    ( spl10_43
  <=> ( $true
      = ( sK2 @ ( sK3 @ cE ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_43])]) ).

thf(f65,plain,
    ( spl10_5
  <=> ! [X1: a > $o] :
        ( ( $true
         != ( sK2 @ ( sK3 @ X1 ) ) )
        | ( ( sK4 @ X1 @ X1 )
         != $true )
        | ( $true
          = ( sP0 @ X1 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).

thf(f1053,plain,
    ( spl10_44
  <=> ( $true
      = ( sK4 @ cE @ cE ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_44])]) ).

thf(f1418,plain,
    ( ( $true
     != ( sK2 @ ( sK3 @ cE ) ) )
    | ~ spl10_5
    | ~ spl10_44 ),
    inference(trivial_inequality_removal,[],[f1417]) ).

thf(f1417,plain,
    ( ( $false = $true )
    | ( $true
     != ( sK2 @ ( sK3 @ cE ) ) )
    | ~ spl10_5
    | ~ spl10_44 ),
    inference(forward_demodulation,[],[f1406,f349]) ).

thf(f349,plain,
    ( $false
    = ( sP0 @ cE ) ),
    inference(trivial_inequality_removal,[],[f348]) ).

thf(f348,plain,
    ( ( $true != $true )
    | ( $false
      = ( sP0 @ cE ) ) ),
    inference(fool_paramodulation,[],[f338]) ).

thf(f338,plain,
    ( ( sP0 @ cE )
   != $true ),
    inference(trivial_inequality_removal,[],[f337]) ).

thf(f337,plain,
    ( ( $true != $true )
    | ( ( sP0 @ cE )
     != $true ) ),
    inference(duplicate_literal_removal,[],[f328]) ).

thf(f328,plain,
    ( ( ( sP0 @ cE )
     != $true )
    | ( $true != $true )
    | ( ( sP0 @ cE )
     != $true ) ),
    inference(superposition,[],[f320,f197]) ).

thf(f197,plain,
    ! [X0: a > $o] :
      ( ( ( cE @ ( sK6 @ X0 ) )
        = $true )
      | ( $true
       != ( sP0 @ X0 ) ) ),
    inference(trivial_inequality_removal,[],[f196]) ).

thf(f196,plain,
    ! [X0: a > $o] :
      ( ( ( cE @ ( sK6 @ X0 ) )
        = $true )
      | ( $true
       != ( sP0 @ X0 ) )
      | ( $true != $true ) ),
    inference(duplicate_literal_removal,[],[f194]) ).

thf(f194,plain,
    ! [X0: a > $o] :
      ( ( $true != $true )
      | ( $true
       != ( sP0 @ X0 ) )
      | ( $true
       != ( sP0 @ X0 ) )
      | ( ( cE @ ( sK6 @ X0 ) )
        = $true ) ),
    inference(superposition,[],[f37,f39]) ).

thf(f39,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( cA @ ( sK5 @ X0 ) ) )
      | ( $true
       != ( sP0 @ X0 ) ) ),
    inference(cnf_transformation,[],[f22]) ).

thf(f22,plain,
    ! [X0: a > $o] :
      ( ( ( $true
          = ( cA @ ( sK5 @ X0 ) ) )
        & ( ( $true
           != ( cA @ ( sK5 @ X0 ) ) )
          | ( ( $true
             != ( sK5 @ X0 @ ( sK6 @ X0 ) ) )
            & ( ( cE @ ( sK6 @ X0 ) )
              = $true ) ) )
        & ! [X3: a] :
            ( ( $true
             != ( X0 @ X3 ) )
            | ( $true
              = ( sK5 @ X0 @ X3 ) ) ) )
      | ( $true
       != ( sP0 @ X0 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f19,f21,f20]) ).

thf(f20,plain,
    ! [X0: a > $o] :
      ( ? [X1: a > $o] :
          ( ( ( cA @ X1 )
            = $true )
          & ( ( ( cA @ X1 )
             != $true )
            | ? [X2: a] :
                ( ( ( X1 @ X2 )
                 != $true )
                & ( $true
                  = ( cE @ X2 ) ) ) )
          & ! [X3: a] :
              ( ( $true
               != ( X0 @ X3 ) )
              | ( $true
                = ( X1 @ X3 ) ) ) )
     => ( ( $true
          = ( cA @ ( sK5 @ X0 ) ) )
        & ( ( $true
           != ( cA @ ( sK5 @ X0 ) ) )
          | ? [X2: a] :
              ( ( $true
               != ( sK5 @ X0 @ X2 ) )
              & ( $true
                = ( cE @ X2 ) ) ) )
        & ! [X3: a] :
            ( ( $true
             != ( X0 @ X3 ) )
            | ( $true
              = ( sK5 @ X0 @ X3 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f21,plain,
    ! [X0: a > $o] :
      ( ? [X2: a] :
          ( ( $true
           != ( sK5 @ X0 @ X2 ) )
          & ( $true
            = ( cE @ X2 ) ) )
     => ( ( $true
         != ( sK5 @ X0 @ ( sK6 @ X0 ) ) )
        & ( ( cE @ ( sK6 @ X0 ) )
          = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f19,plain,
    ! [X0: a > $o] :
      ( ? [X1: a > $o] :
          ( ( ( cA @ X1 )
            = $true )
          & ( ( ( cA @ X1 )
             != $true )
            | ? [X2: a] :
                ( ( ( X1 @ X2 )
                 != $true )
                & ( $true
                  = ( cE @ X2 ) ) ) )
          & ! [X3: a] :
              ( ( $true
               != ( X0 @ X3 ) )
              | ( $true
                = ( X1 @ X3 ) ) ) )
      | ( $true
       != ( sP0 @ X0 ) ) ),
    inference(rectify,[],[f18]) ).

thf(f18,plain,
    ! [X5: a > $o] :
      ( ? [X7: a > $o] :
          ( ( $true
            = ( cA @ X7 ) )
          & ( ( $true
             != ( cA @ X7 ) )
            | ? [X9: a] :
                ( ( $true
                 != ( X7 @ X9 ) )
                & ( $true
                  = ( cE @ X9 ) ) ) )
          & ! [X8: a] :
              ( ( $true
               != ( X5 @ X8 ) )
              | ( $true
                = ( X7 @ X8 ) ) ) )
      | ( $true
       != ( sP0 @ X5 ) ) ),
    inference(nnf_transformation,[],[f9]) ).

thf(f9,plain,
    ! [X5: a > $o] :
      ( ? [X7: a > $o] :
          ( ( $true
            = ( cA @ X7 ) )
          & ( ( $true
             != ( cA @ X7 ) )
            | ? [X9: a] :
                ( ( $true
                 != ( X7 @ X9 ) )
                & ( $true
                  = ( cE @ X9 ) ) ) )
          & ! [X8: a] :
              ( ( $true
               != ( X5 @ X8 ) )
              | ( $true
                = ( X7 @ X8 ) ) ) )
      | ( $true
       != ( sP0 @ X5 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).

thf(f37,plain,
    ! [X0: a > $o] :
      ( ( $true
       != ( cA @ ( sK5 @ X0 ) ) )
      | ( $true
       != ( sP0 @ X0 ) )
      | ( ( cE @ ( sK6 @ X0 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f22]) ).

thf(f320,plain,
    ! [X0: a > $o] :
      ( ( $true
       != ( X0 @ ( sK6 @ X0 ) ) )
      | ( $true
       != ( sP0 @ X0 ) ) ),
    inference(trivial_inequality_removal,[],[f319]) ).

thf(f319,plain,
    ! [X0: a > $o] :
      ( ( $true
       != ( sP0 @ X0 ) )
      | ( $true != $true )
      | ( $true
       != ( X0 @ ( sK6 @ X0 ) ) ) ),
    inference(duplicate_literal_removal,[],[f317]) ).

thf(f317,plain,
    ! [X0: a > $o] :
      ( ( $true
       != ( X0 @ ( sK6 @ X0 ) ) )
      | ( $true != $true )
      | ( $true
       != ( sP0 @ X0 ) )
      | ( $true
       != ( sP0 @ X0 ) ) ),
    inference(superposition,[],[f315,f39]) ).

thf(f315,plain,
    ! [X0: a > $o] :
      ( ( $true
       != ( cA @ ( sK5 @ X0 ) ) )
      | ( $true
       != ( X0 @ ( sK6 @ X0 ) ) )
      | ( $true
       != ( sP0 @ X0 ) ) ),
    inference(trivial_inequality_removal,[],[f314]) ).

thf(f314,plain,
    ! [X0: a > $o] :
      ( ( $true
       != ( X0 @ ( sK6 @ X0 ) ) )
      | ( $true
       != ( sP0 @ X0 ) )
      | ( $true
       != ( cA @ ( sK5 @ X0 ) ) )
      | ( $true != $true ) ),
    inference(duplicate_literal_removal,[],[f312]) ).

thf(f312,plain,
    ! [X0: a > $o] :
      ( ( $true != $true )
      | ( $true
       != ( X0 @ ( sK6 @ X0 ) ) )
      | ( $true
       != ( sP0 @ X0 ) )
      | ( $true
       != ( cA @ ( sK5 @ X0 ) ) )
      | ( $true
       != ( sP0 @ X0 ) ) ),
    inference(superposition,[],[f38,f36]) ).

thf(f36,plain,
    ! [X3: a,X0: a > $o] :
      ( ( $true
        = ( sK5 @ X0 @ X3 ) )
      | ( $true
       != ( X0 @ X3 ) )
      | ( $true
       != ( sP0 @ X0 ) ) ),
    inference(cnf_transformation,[],[f22]) ).

thf(f38,plain,
    ! [X0: a > $o] :
      ( ( $true
       != ( sK5 @ X0 @ ( sK6 @ X0 ) ) )
      | ( $true
       != ( sP0 @ X0 ) )
      | ( $true
       != ( cA @ ( sK5 @ X0 ) ) ) ),
    inference(cnf_transformation,[],[f22]) ).

thf(f1406,plain,
    ( ( ( sP0 @ cE )
      = $true )
    | ( $true
     != ( sK2 @ ( sK3 @ cE ) ) )
    | ~ spl10_5
    | ~ spl10_44 ),
    inference(trivial_inequality_removal,[],[f1401]) ).

thf(f1401,plain,
    ( ( $false = $true )
    | ( $true
     != ( sK2 @ ( sK3 @ cE ) ) )
    | ( ( sP0 @ cE )
      = $true )
    | ~ spl10_5
    | ~ spl10_44 ),
    inference(superposition,[],[f224,f1055]) ).

thf(f1055,plain,
    ( ( $true
      = ( sK4 @ cE @ cE ) )
    | ~ spl10_44 ),
    inference(avatar_component_clause,[],[f1053]) ).

thf(f224,plain,
    ( ! [X1: a > $o] :
        ( ( ( sK4 @ X1 @ X1 )
          = $false )
        | ( $true
          = ( sP0 @ X1 ) )
        | ( $true
         != ( sK2 @ ( sK3 @ X1 ) ) ) )
    | ~ spl10_5 ),
    inference(trivial_inequality_removal,[],[f223]) ).

thf(f223,plain,
    ( ! [X1: a > $o] :
        ( ( ( sK4 @ X1 @ X1 )
          = $false )
        | ( $true != $true )
        | ( $true
          = ( sP0 @ X1 ) )
        | ( $true
         != ( sK2 @ ( sK3 @ X1 ) ) ) )
    | ~ spl10_5 ),
    inference(fool_paramodulation,[],[f66]) ).

thf(f66,plain,
    ( ! [X1: a > $o] :
        ( ( ( sK4 @ X1 @ X1 )
         != $true )
        | ( $true
         != ( sK2 @ ( sK3 @ X1 ) ) )
        | ( $true
          = ( sP0 @ X1 ) ) )
    | ~ spl10_5 ),
    inference(avatar_component_clause,[],[f65]) ).

thf(f1429,plain,
    ( ~ spl10_6
    | ~ spl10_11
    | spl10_43
    | ~ spl10_44 ),
    inference(avatar_contradiction_clause,[],[f1428]) ).

thf(f1428,plain,
    ( $false
    | ~ spl10_6
    | ~ spl10_11
    | spl10_43
    | ~ spl10_44 ),
    inference(trivial_inequality_removal,[],[f1427]) ).

thf(f1427,plain,
    ( ( $false = $true )
    | ~ spl10_6
    | ~ spl10_11
    | spl10_43
    | ~ spl10_44 ),
    inference(forward_demodulation,[],[f1426,f1107]) ).

thf(f1107,plain,
    ( ( $false
      = ( cE @ ( sK3 @ cE ) ) )
    | ~ spl10_11
    | spl10_43 ),
    inference(trivial_inequality_removal,[],[f1100]) ).

thf(f1100,plain,
    ( ( $false
      = ( cE @ ( sK3 @ cE ) ) )
    | ( $true != $true )
    | ~ spl10_11
    | spl10_43 ),
    inference(fool_paramodulation,[],[f1091]) ).

thf(f1091,plain,
    ( ( $true
     != ( cE @ ( sK3 @ cE ) ) )
    | ~ spl10_11
    | spl10_43 ),
    inference(trivial_inequality_removal,[],[f1089]) ).

thf(f1089,plain,
    ( ( $true
     != ( cE @ ( sK3 @ cE ) ) )
    | ( $true != $true )
    | ~ spl10_11
    | spl10_43 ),
    inference(superposition,[],[f1051,f91]) ).

thf(f91,plain,
    ( ! [X6: a] :
        ( ( $true
          = ( sK2 @ X6 ) )
        | ( $true
         != ( cE @ X6 ) ) )
    | ~ spl10_11 ),
    inference(avatar_component_clause,[],[f90]) ).

thf(f90,plain,
    ( spl10_11
  <=> ! [X6: a] :
        ( ( $true
         != ( cE @ X6 ) )
        | ( $true
          = ( sK2 @ X6 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).

thf(f1051,plain,
    ( ( $true
     != ( sK2 @ ( sK3 @ cE ) ) )
    | spl10_43 ),
    inference(avatar_component_clause,[],[f1049]) ).

thf(f1426,plain,
    ( ( $true
      = ( cE @ ( sK3 @ cE ) ) )
    | ~ spl10_6
    | ~ spl10_44 ),
    inference(trivial_inequality_removal,[],[f1425]) ).

thf(f1425,plain,
    ( ( $false = $true )
    | ( $true
      = ( cE @ ( sK3 @ cE ) ) )
    | ~ spl10_6
    | ~ spl10_44 ),
    inference(forward_demodulation,[],[f1404,f349]) ).

thf(f1404,plain,
    ( ( ( sP0 @ cE )
      = $true )
    | ( $true
      = ( cE @ ( sK3 @ cE ) ) )
    | ~ spl10_6
    | ~ spl10_44 ),
    inference(trivial_inequality_removal,[],[f1402]) ).

thf(f1402,plain,
    ( ( $true != $true )
    | ( $true
      = ( cE @ ( sK3 @ cE ) ) )
    | ( ( sP0 @ cE )
      = $true )
    | ~ spl10_6
    | ~ spl10_44 ),
    inference(superposition,[],[f70,f1055]) ).

thf(f70,plain,
    ( ! [X1: a > $o] :
        ( ( ( sK4 @ X1 @ X1 )
         != $true )
        | ( $true
          = ( X1 @ ( sK3 @ X1 ) ) )
        | ( $true
          = ( sP0 @ X1 ) ) )
    | ~ spl10_6 ),
    inference(avatar_component_clause,[],[f69]) ).

thf(f69,plain,
    ( spl10_6
  <=> ! [X1: a > $o] :
        ( ( $true
          = ( sP0 @ X1 ) )
        | ( ( sK4 @ X1 @ X1 )
         != $true )
        | ( $true
          = ( X1 @ ( sK3 @ X1 ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).

thf(f1396,plain,
    ( spl10_44
    | ~ spl10_42
    | ~ spl10_8
    | ~ spl10_11
    | spl10_43 ),
    inference(avatar_split_clause,[],[f1395,f1049,f90,f77,f1045,f1053]) ).

thf(f1045,plain,
    ( spl10_42
  <=> ( $true
      = ( sK4 @ cE
        @ ^ [Y0: a] : $false ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_42])]) ).

thf(f77,plain,
    ( spl10_8
  <=> ! [X4: a > $o,X5: a,X1: a > $o] :
        ( ( $true
          = ( X1 @ ( sK3 @ X1 ) ) )
        | ( $true
          = ( sK4 @ X1
            @ ^ [Y0: a] :
                ( ( X5 = Y0 )
                | ( X4 @ Y0 ) ) ) )
        | ( ( X1 @ X5 )
         != $true )
        | ( $true
          = ( sP0 @ X1 ) )
        | ( $true
         != ( sK4 @ X1 @ X4 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).

thf(f1395,plain,
    ( ( $true
     != ( sK4 @ cE
        @ ^ [Y0: a] : $false ) )
    | ( $true
      = ( sK4 @ cE @ cE ) )
    | ~ spl10_8
    | ~ spl10_11
    | spl10_43 ),
    inference(trivial_inequality_removal,[],[f1394]) ).

thf(f1394,plain,
    ( ( $true
     != ( sK4 @ cE
        @ ^ [Y0: a] : $false ) )
    | ( $false = $true )
    | ( $true
      = ( sK4 @ cE @ cE ) )
    | ~ spl10_8
    | ~ spl10_11
    | spl10_43 ),
    inference(forward_demodulation,[],[f1393,f1107]) ).

thf(f1393,plain,
    ( ( $true
      = ( cE @ ( sK3 @ cE ) ) )
    | ( $true
     != ( sK4 @ cE
        @ ^ [Y0: a] : $false ) )
    | ( $true
      = ( sK4 @ cE @ cE ) )
    | ~ spl10_8 ),
    inference(trivial_inequality_removal,[],[f1392]) ).

thf(f1392,plain,
    ( ( $true
     != ( sK4 @ cE
        @ ^ [Y0: a] : $false ) )
    | ( $true
      = ( sK4 @ cE @ cE ) )
    | ( $true
      = ( cE @ ( sK3 @ cE ) ) )
    | ( $false = $true )
    | ~ spl10_8 ),
    inference(forward_demodulation,[],[f1360,f349]) ).

thf(f1360,plain,
    ( ( ( sP0 @ cE )
      = $true )
    | ( $true
      = ( sK4 @ cE @ cE ) )
    | ( $true
     != ( sK4 @ cE
        @ ^ [Y0: a] : $false ) )
    | ( $true
      = ( cE @ ( sK3 @ cE ) ) )
    | ~ spl10_8 ),
    inference(trivial_inequality_removal,[],[f1359]) ).

thf(f1359,plain,
    ( ( ( sP0 @ cE )
      = $true )
    | ( $true != $true )
    | ( $true
      = ( cE @ ( sK3 @ cE ) ) )
    | ( $true
      = ( sK4 @ cE @ cE ) )
    | ( $true
     != ( sK4 @ cE
        @ ^ [Y0: a] : $false ) )
    | ~ spl10_8 ),
    inference(duplicate_literal_removal,[],[f1347]) ).

thf(f1347,plain,
    ( ( $true
      = ( sK4 @ cE @ cE ) )
    | ( $true != $true )
    | ( $true
     != ( sK4 @ cE
        @ ^ [Y0: a] : $false ) )
    | ( ( sP0 @ cE )
      = $true )
    | ( $true
      = ( cE @ ( sK3 @ cE ) ) )
    | ( $true
     != ( sK4 @ cE
        @ ^ [Y0: a] : $false ) )
    | ( $true
      = ( sK4 @ cE @ cE ) )
    | ~ spl10_8 ),
    inference(superposition,[],[f1337,f44]) ).

thf(f44,plain,
    ! [X0: ( a > $o ) > $o] :
      ( ( ( cE @ ( sK8 @ X0 ) )
        = $true )
      | ( ( X0 @ cE )
        = $true )
      | ( ( X0
          @ ^ [Y0: a] : $false )
       != $true ) ),
    inference(cnf_transformation,[],[f27]) ).

thf(f27,plain,
    ( ! [X0: ( a > $o ) > $o] :
        ( ( ( X0
            @ ^ [Y0: a] : $false )
         != $true )
        | ( ( X0 @ cE )
          = $true )
        | ( ( ( X0
              @ ^ [Y0: a] :
                  ( ( ( sK8 @ X0 )
                    = Y0 )
                  | ( sK7 @ X0 @ Y0 ) ) )
           != $true )
          & ( ( cE @ ( sK8 @ X0 ) )
            = $true )
          & ( ( X0 @ ( sK7 @ X0 ) )
            = $true ) ) )
    & ( ( sP1 = $true )
      | ( ( ( cA @ sK9 )
          = $true )
        & ! [X4: a] :
            ( ( ( cE @ X4 )
             != $true )
            | ( $true
              = ( sK9 @ X4 ) ) )
        & ( ( cA @ sK9 )
         != $true ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f23,f26,f25,f24]) ).

thf(f24,plain,
    ! [X0: ( a > $o ) > $o] :
      ( ? [X1: a > $o] :
          ( ? [X2: a] :
              ( ( $true
               != ( X0
                  @ ^ [Y0: a] :
                      ( ( X2 = Y0 )
                      | ( X1 @ Y0 ) ) ) )
              & ( $true
                = ( cE @ X2 ) ) )
          & ( $true
            = ( X0 @ X1 ) ) )
     => ( ? [X2: a] :
            ( ( $true
             != ( X0
                @ ^ [Y0: a] :
                    ( ( X2 = Y0 )
                    | ( sK7 @ X0 @ Y0 ) ) ) )
            & ( $true
              = ( cE @ X2 ) ) )
        & ( ( X0 @ ( sK7 @ X0 ) )
          = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f25,plain,
    ! [X0: ( a > $o ) > $o] :
      ( ? [X2: a] :
          ( ( $true
           != ( X0
              @ ^ [Y0: a] :
                  ( ( X2 = Y0 )
                  | ( sK7 @ X0 @ Y0 ) ) ) )
          & ( $true
            = ( cE @ X2 ) ) )
     => ( ( ( X0
            @ ^ [Y0: a] :
                ( ( ( sK8 @ X0 )
                  = Y0 )
                | ( sK7 @ X0 @ Y0 ) ) )
         != $true )
        & ( ( cE @ ( sK8 @ X0 ) )
          = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f26,plain,
    ( ? [X3: a > $o] :
        ( ( $true
          = ( cA @ X3 ) )
        & ! [X4: a] :
            ( ( ( cE @ X4 )
             != $true )
            | ( $true
              = ( X3 @ X4 ) ) )
        & ( $true
         != ( cA @ X3 ) ) )
   => ( ( ( cA @ sK9 )
        = $true )
      & ! [X4: a] :
          ( ( ( cE @ X4 )
           != $true )
          | ( $true
            = ( sK9 @ X4 ) ) )
      & ( ( cA @ sK9 )
       != $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f23,plain,
    ( ! [X0: ( a > $o ) > $o] :
        ( ( ( X0
            @ ^ [Y0: a] : $false )
         != $true )
        | ( ( X0 @ cE )
          = $true )
        | ? [X1: a > $o] :
            ( ? [X2: a] :
                ( ( $true
                 != ( X0
                    @ ^ [Y0: a] :
                        ( ( X2 = Y0 )
                        | ( X1 @ Y0 ) ) ) )
                & ( $true
                  = ( cE @ X2 ) ) )
            & ( $true
              = ( X0 @ X1 ) ) ) )
    & ( ( sP1 = $true )
      | ? [X3: a > $o] :
          ( ( $true
            = ( cA @ X3 ) )
          & ! [X4: a] :
              ( ( ( cE @ X4 )
               != $true )
              | ( $true
                = ( X3 @ X4 ) ) )
          & ( $true
           != ( cA @ X3 ) ) ) ) ),
    inference(rectify,[],[f11]) ).

thf(f11,plain,
    ( ! [X0: ( a > $o ) > $o] :
        ( ( ( X0
            @ ^ [Y0: a] : $false )
         != $true )
        | ( ( X0 @ cE )
          = $true )
        | ? [X1: a > $o] :
            ( ? [X2: a] :
                ( ( $true
                 != ( X0
                    @ ^ [Y0: a] :
                        ( ( X2 = Y0 )
                        | ( X1 @ Y0 ) ) ) )
                & ( $true
                  = ( cE @ X2 ) ) )
            & ( $true
              = ( X0 @ X1 ) ) ) )
    & ( ( sP1 = $true )
      | ? [X13: a > $o] :
          ( ( $true
            = ( cA @ X13 ) )
          & ! [X14: a] :
              ( ( ( cE @ X14 )
               != $true )
              | ( ( X13 @ X14 )
                = $true ) )
          & ( $true
           != ( cA @ X13 ) ) ) ) ),
    inference(definition_folding,[],[f8,f10,f9]) ).

thf(f10,plain,
    ( ? [X3: a > $o] :
        ( ( $true
          = ( cA @ X3 ) )
        & ! [X5: a > $o] :
            ( ( $true
              = ( sP0 @ X5 ) )
            | ? [X6: a] :
                ( ( $true
                  = ( X5 @ X6 ) )
                & ( $true
                 != ( X3 @ X6 ) ) )
            | ? [X10: ( a > $o ) > $o] :
                ( ( $true
                 != ( X10 @ X5 ) )
                & ( $true
                  = ( X10
                    @ ^ [Y0: a] : $false ) )
                & ! [X11: a > $o] :
                    ( ( $true
                     != ( X10 @ X11 ) )
                    | ! [X12: a] :
                        ( ( $true
                          = ( X10
                            @ ^ [Y0: a] :
                                ( ( X12 = Y0 )
                                | ( X11 @ Y0 ) ) ) )
                        | ( $true
                         != ( X5 @ X12 ) ) ) ) ) )
        & ! [X4: a] :
            ( ( $true
              = ( X3 @ X4 ) )
            | ( ( cE @ X4 )
             != $true ) ) )
    | ( sP1 != $true ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).

thf(f8,plain,
    ( ! [X0: ( a > $o ) > $o] :
        ( ( ( X0
            @ ^ [Y0: a] : $false )
         != $true )
        | ( ( X0 @ cE )
          = $true )
        | ? [X1: a > $o] :
            ( ? [X2: a] :
                ( ( $true
                 != ( X0
                    @ ^ [Y0: a] :
                        ( ( X2 = Y0 )
                        | ( X1 @ Y0 ) ) ) )
                & ( $true
                  = ( cE @ X2 ) ) )
            & ( $true
              = ( X0 @ X1 ) ) ) )
    & ( ? [X3: a > $o] :
          ( ( $true
            = ( cA @ X3 ) )
          & ! [X5: a > $o] :
              ( ? [X7: a > $o] :
                  ( ( $true
                    = ( cA @ X7 ) )
                  & ( ( $true
                     != ( cA @ X7 ) )
                    | ? [X9: a] :
                        ( ( $true
                         != ( X7 @ X9 ) )
                        & ( $true
                          = ( cE @ X9 ) ) ) )
                  & ! [X8: a] :
                      ( ( $true
                       != ( X5 @ X8 ) )
                      | ( $true
                        = ( X7 @ X8 ) ) ) )
              | ? [X6: a] :
                  ( ( $true
                    = ( X5 @ X6 ) )
                  & ( $true
                   != ( X3 @ X6 ) ) )
              | ? [X10: ( a > $o ) > $o] :
                  ( ( $true
                   != ( X10 @ X5 ) )
                  & ( $true
                    = ( X10
                      @ ^ [Y0: a] : $false ) )
                  & ! [X11: a > $o] :
                      ( ( $true
                       != ( X10 @ X11 ) )
                      | ! [X12: a] :
                          ( ( $true
                            = ( X10
                              @ ^ [Y0: a] :
                                  ( ( X12 = Y0 )
                                  | ( X11 @ Y0 ) ) ) )
                          | ( $true
                           != ( X5 @ X12 ) ) ) ) ) )
          & ! [X4: a] :
              ( ( $true
                = ( X3 @ X4 ) )
              | ( ( cE @ X4 )
               != $true ) ) )
      | ? [X13: a > $o] :
          ( ( $true
            = ( cA @ X13 ) )
          & ! [X14: a] :
              ( ( ( cE @ X14 )
               != $true )
              | ( ( X13 @ X14 )
                = $true ) )
          & ( $true
           != ( cA @ X13 ) ) ) ) ),
    inference(flattening,[],[f7]) ).

thf(f7,plain,
    ( ( ? [X3: a > $o] :
          ( ! [X5: a > $o] :
              ( ? [X10: ( a > $o ) > $o] :
                  ( ( $true
                   != ( X10 @ X5 ) )
                  & ! [X11: a > $o] :
                      ( ( $true
                       != ( X10 @ X11 ) )
                      | ! [X12: a] :
                          ( ( $true
                            = ( X10
                              @ ^ [Y0: a] :
                                  ( ( X12 = Y0 )
                                  | ( X11 @ Y0 ) ) ) )
                          | ( $true
                           != ( X5 @ X12 ) ) ) )
                  & ( $true
                    = ( X10
                      @ ^ [Y0: a] : $false ) ) )
              | ? [X6: a] :
                  ( ( $true
                    = ( X5 @ X6 ) )
                  & ( $true
                   != ( X3 @ X6 ) ) )
              | ? [X7: a > $o] :
                  ( ( ( $true
                     != ( cA @ X7 ) )
                    | ? [X9: a] :
                        ( ( $true
                         != ( X7 @ X9 ) )
                        & ( $true
                          = ( cE @ X9 ) ) ) )
                  & ( $true
                    = ( cA @ X7 ) )
                  & ! [X8: a] :
                      ( ( $true
                       != ( X5 @ X8 ) )
                      | ( $true
                        = ( X7 @ X8 ) ) ) ) )
          & ! [X4: a] :
              ( ( $true
                = ( X3 @ X4 ) )
              | ( ( cE @ X4 )
               != $true ) )
          & ( $true
            = ( cA @ X3 ) ) )
      | ? [X13: a > $o] :
          ( ( $true
           != ( cA @ X13 ) )
          & ! [X14: a] :
              ( ( ( cE @ X14 )
               != $true )
              | ( ( X13 @ X14 )
                = $true ) )
          & ( $true
            = ( cA @ X13 ) ) ) )
    & ! [X0: ( a > $o ) > $o] :
        ( ( ( X0 @ cE )
          = $true )
        | ? [X1: a > $o] :
            ( ? [X2: a] :
                ( ( $true
                 != ( X0
                    @ ^ [Y0: a] :
                        ( ( X2 = Y0 )
                        | ( X1 @ Y0 ) ) ) )
                & ( $true
                  = ( cE @ X2 ) ) )
            & ( $true
              = ( X0 @ X1 ) ) )
        | ( ( X0
            @ ^ [Y0: a] : $false )
         != $true ) ) ),
    inference(ennf_transformation,[],[f6]) ).

thf(f6,plain,
    ~ ( ! [X0: ( a > $o ) > $o] :
          ( ( ! [X1: a > $o] :
                ( ( $true
                  = ( X0 @ X1 ) )
               => ! [X2: a] :
                    ( ( $true
                      = ( cE @ X2 ) )
                   => ( $true
                      = ( X0
                        @ ^ [Y0: a] :
                            ( ( X2 = Y0 )
                            | ( X1 @ Y0 ) ) ) ) ) )
            & ( ( X0
                @ ^ [Y0: a] : $false )
              = $true ) )
         => ( ( X0 @ cE )
            = $true ) )
     => ( ! [X3: a > $o] :
            ( ( ! [X4: a] :
                  ( ( ( cE @ X4 )
                    = $true )
                 => ( $true
                    = ( X3 @ X4 ) ) )
              & ( $true
                = ( cA @ X3 ) ) )
           => ? [X5: a > $o] :
                ( ! [X10: ( a > $o ) > $o] :
                    ( ( ! [X11: a > $o] :
                          ( ( $true
                            = ( X10 @ X11 ) )
                         => ! [X12: a] :
                              ( ( $true
                                = ( X5 @ X12 ) )
                             => ( $true
                                = ( X10
                                  @ ^ [Y0: a] :
                                      ( ( X12 = Y0 )
                                      | ( X11 @ Y0 ) ) ) ) ) )
                      & ( $true
                        = ( X10
                          @ ^ [Y0: a] : $false ) ) )
                   => ( $true
                      = ( X10 @ X5 ) ) )
                & ! [X6: a] :
                    ( ( $true
                      = ( X5 @ X6 ) )
                   => ( $true
                      = ( X3 @ X6 ) ) )
                & ! [X7: a > $o] :
                    ( ( ( $true
                        = ( cA @ X7 ) )
                      & ! [X8: a] :
                          ( ( $true
                            = ( X5 @ X8 ) )
                         => ( $true
                            = ( X7 @ X8 ) ) ) )
                   => ( ( $true
                        = ( cA @ X7 ) )
                      & ! [X9: a] :
                          ( ( $true
                            = ( cE @ X9 ) )
                         => ( $true
                            = ( X7 @ X9 ) ) ) ) ) ) )
        & ! [X13: a > $o] :
            ( ( ! [X14: a] :
                  ( ( ( cE @ X14 )
                    = $true )
                 => ( ( X13 @ X14 )
                    = $true ) )
              & ( $true
                = ( cA @ X13 ) ) )
           => ( $true
              = ( cA @ X13 ) ) ) ) ),
    inference(rectify,[],[f5]) ).

thf(f5,plain,
    ~ ( ! [X0: ( a > $o ) > $o] :
          ( ( ! [X1: a > $o] :
                ( ( $true
                  = ( X0 @ X1 ) )
               => ! [X2: a] :
                    ( ( $true
                      = ( cE @ X2 ) )
                   => ( $true
                      = ( X0
                        @ ^ [Y0: a] :
                            ( ( X2 = Y0 )
                            | ( X1 @ Y0 ) ) ) ) ) )
            & ( ( X0
                @ ^ [Y0: a] : $false )
              = $true ) )
         => ( ( X0 @ cE )
            = $true ) )
     => ( ! [X5: a > $o] :
            ( ( ! [X6: a] :
                  ( ( $true
                    = ( cE @ X6 ) )
                 => ( $true
                    = ( X5 @ X6 ) ) )
              & ( $true
                = ( cA @ X5 ) ) )
           => ? [X7: a > $o] :
                ( ! [X8: a] :
                    ( ( $true
                      = ( X7 @ X8 ) )
                   => ( $true
                      = ( X5 @ X8 ) ) )
                & ! [X9: a > $o] :
                    ( ( ( ( cA @ X9 )
                        = $true )
                      & ! [X10: a] :
                          ( ( $true
                            = ( X7 @ X10 ) )
                         => ( $true
                            = ( X9 @ X10 ) ) ) )
                   => ( ! [X11: a] :
                          ( ( ( cE @ X11 )
                            = $true )
                         => ( $true
                            = ( X9 @ X11 ) ) )
                      & ( ( cA @ X9 )
                        = $true ) ) )
                & ! [X12: ( a > $o ) > $o] :
                    ( ( ! [X13: a > $o] :
                          ( ( $true
                            = ( X12 @ X13 ) )
                         => ! [X14: a] :
                              ( ( $true
                                = ( X7 @ X14 ) )
                             => ( $true
                                = ( X12
                                  @ ^ [Y0: a] :
                                      ( ( X14 = Y0 )
                                      | ( X13 @ Y0 ) ) ) ) ) )
                      & ( $true
                        = ( X12
                          @ ^ [Y0: a] : $false ) ) )
                   => ( $true
                      = ( X12 @ X7 ) ) ) ) )
        & ! [X17: a > $o] :
            ( ( ! [X18: a] :
                  ( ( ( cE @ X18 )
                    = $true )
                 => ( $true
                    = ( X17 @ X18 ) ) )
              & ( $true
                = ( cA @ X17 ) ) )
           => ( $true
              = ( cA @ X17 ) ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ( ! [X0: ( a > $o ) > $o] :
          ( ( ! [X1: a > $o] :
                ( ( X0 @ X1 )
               => ! [X2: a] :
                    ( ( cE @ X2 )
                   => ( X0
                      @ ^ [X3: a] :
                          ( ( X1 @ X3 )
                          | ( X2 = X3 ) ) ) ) )
            & ( X0
              @ ^ [X4: a] : $false ) )
         => ( X0 @ cE ) )
     => ( ! [X5: a > $o] :
            ( ( ! [X6: a] :
                  ( ( cE @ X6 )
                 => ( X5 @ X6 ) )
              & ( cA @ X5 ) )
           => ? [X7: a > $o] :
                ( ! [X8: a] :
                    ( ( X7 @ X8 )
                   => ( X5 @ X8 ) )
                & ! [X9: a > $o] :
                    ( ( ( cA @ X9 )
                      & ! [X10: a] :
                          ( ( X7 @ X10 )
                         => ( X9 @ X10 ) ) )
                   => ( ! [X11: a] :
                          ( ( cE @ X11 )
                         => ( X9 @ X11 ) )
                      & ( cA @ X9 ) ) )
                & ! [X12: ( a > $o ) > $o] :
                    ( ( ! [X13: a > $o] :
                          ( ( X12 @ X13 )
                         => ! [X14: a] :
                              ( ( X7 @ X14 )
                             => ( X12
                                @ ^ [X15: a] :
                                    ( ( X13 @ X15 )
                                    | ( X14 = X15 ) ) ) ) )
                      & ( X12
                        @ ^ [X16: a] : $false ) )
                   => ( X12 @ X7 ) ) ) )
        & ! [X17: a > $o] :
            ( ( ! [X18: a] :
                  ( ( cE @ X18 )
                 => ( X17 @ X18 ) )
              & ( cA @ X17 ) )
           => ( cA @ X17 ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ! [X0: ( a > $o ) > $o] :
          ( ( ! [X2: a > $o] :
                ( ( X0 @ X2 )
               => ! [X3: a] :
                    ( ( cE @ X3 )
                   => ( X0
                      @ ^ [X4: a] :
                          ( ( X2 @ X4 )
                          | ( X3 = X4 ) ) ) ) )
            & ( X0
              @ ^ [X1: a] : $false ) )
         => ( X0 @ cE ) )
     => ( ! [X2: a > $o] :
            ( ( ! [X5: a] :
                  ( ( cE @ X5 )
                 => ( X2 @ X5 ) )
              & ( cA @ X2 ) )
           => ? [X6: a > $o] :
                ( ! [X5: a] :
                    ( ( X6 @ X5 )
                   => ( X2 @ X5 ) )
                & ! [X1: a > $o] :
                    ( ( ( cA @ X1 )
                      & ! [X5: a] :
                          ( ( X6 @ X5 )
                         => ( X1 @ X5 ) ) )
                   => ( ! [X5: a] :
                          ( ( cE @ X5 )
                         => ( X1 @ X5 ) )
                      & ( cA @ X1 ) ) )
                & ! [X0: ( a > $o ) > $o] :
                    ( ( ! [X5: a > $o] :
                          ( ( X0 @ X5 )
                         => ! [X3: a] :
                              ( ( X6 @ X3 )
                             => ( X0
                                @ ^ [X4: a] :
                                    ( ( X5 @ X4 )
                                    | ( X3 = X4 ) ) ) ) )
                      & ( X0
                        @ ^ [X1: a] : $false ) )
                   => ( X0 @ X6 ) ) ) )
        & ! [X2: a > $o] :
            ( ( ! [X5: a] :
                  ( ( cE @ X5 )
                 => ( X2 @ X5 ) )
              & ( cA @ X2 ) )
           => ( cA @ X2 ) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ( ! [X0: ( a > $o ) > $o] :
        ( ( ! [X2: a > $o] :
              ( ( X0 @ X2 )
             => ! [X3: a] :
                  ( ( cE @ X3 )
                 => ( X0
                    @ ^ [X4: a] :
                        ( ( X2 @ X4 )
                        | ( X3 = X4 ) ) ) ) )
          & ( X0
            @ ^ [X1: a] : $false ) )
       => ( X0 @ cE ) )
   => ( ! [X2: a > $o] :
          ( ( ! [X5: a] :
                ( ( cE @ X5 )
               => ( X2 @ X5 ) )
            & ( cA @ X2 ) )
         => ? [X6: a > $o] :
              ( ! [X5: a] :
                  ( ( X6 @ X5 )
                 => ( X2 @ X5 ) )
              & ! [X1: a > $o] :
                  ( ( ( cA @ X1 )
                    & ! [X5: a] :
                        ( ( X6 @ X5 )
                       => ( X1 @ X5 ) ) )
                 => ( ! [X5: a] :
                        ( ( cE @ X5 )
                       => ( X1 @ X5 ) )
                    & ( cA @ X1 ) ) )
              & ! [X0: ( a > $o ) > $o] :
                  ( ( ! [X5: a > $o] :
                        ( ( X0 @ X5 )
                       => ! [X3: a] :
                            ( ( X6 @ X3 )
                           => ( X0
                              @ ^ [X4: a] :
                                  ( ( X5 @ X4 )
                                  | ( X3 = X4 ) ) ) ) )
                    & ( X0
                      @ ^ [X1: a] : $false ) )
                 => ( X0 @ X6 ) ) ) )
      & ! [X2: a > $o] :
          ( ( ! [X5: a] :
                ( ( cE @ X5 )
               => ( X2 @ X5 ) )
            & ( cA @ X2 ) )
         => ( cA @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDOMLEMMA4_pme) ).

thf(f1337,plain,
    ( ! [X0: a > $o] :
        ( ( $true
         != ( X0 @ ( sK8 @ ( sK4 @ X0 ) ) ) )
        | ( $true
          = ( sK4 @ X0 @ cE ) )
        | ( $true
          = ( sP0 @ X0 ) )
        | ( $true
         != ( sK4 @ X0
            @ ^ [Y0: a] : $false ) )
        | ( $true
          = ( X0 @ ( sK3 @ X0 ) ) ) )
    | ~ spl10_8 ),
    inference(trivial_inequality_removal,[],[f1336]) ).

thf(f1336,plain,
    ( ! [X0: a > $o] :
        ( ( $true != $true )
        | ( $true
         != ( sK4 @ X0
            @ ^ [Y0: a] : $false ) )
        | ( $true
         != ( X0 @ ( sK8 @ ( sK4 @ X0 ) ) ) )
        | ( $true
          = ( X0 @ ( sK3 @ X0 ) ) )
        | ( $true
          = ( sP0 @ X0 ) )
        | ( $true
          = ( sK4 @ X0 @ cE ) ) )
    | ~ spl10_8 ),
    inference(duplicate_literal_removal,[],[f1334]) ).

thf(f1334,plain,
    ( ! [X0: a > $o] :
        ( ( $true
         != ( sK4 @ X0
            @ ^ [Y0: a] : $false ) )
        | ( $true
          = ( X0 @ ( sK3 @ X0 ) ) )
        | ( $true
         != ( X0 @ ( sK8 @ ( sK4 @ X0 ) ) ) )
        | ( $true
         != ( sK4 @ X0
            @ ^ [Y0: a] : $false ) )
        | ( $true
          = ( sK4 @ X0 @ cE ) )
        | ( $true
          = ( sK4 @ X0 @ cE ) )
        | ( $true != $true )
        | ( $true
          = ( sP0 @ X0 ) ) )
    | ~ spl10_8 ),
    inference(superposition,[],[f661,f43]) ).

thf(f43,plain,
    ! [X0: ( a > $o ) > $o] :
      ( ( ( X0 @ ( sK7 @ X0 ) )
        = $true )
      | ( ( X0
          @ ^ [Y0: a] : $false )
       != $true )
      | ( ( X0 @ cE )
        = $true ) ),
    inference(cnf_transformation,[],[f27]) ).

thf(f661,plain,
    ( ! [X0: a > $o] :
        ( ( $true
         != ( sK4 @ X0 @ ( sK7 @ ( sK4 @ X0 ) ) ) )
        | ( $true
         != ( X0 @ ( sK8 @ ( sK4 @ X0 ) ) ) )
        | ( $true
          = ( X0 @ ( sK3 @ X0 ) ) )
        | ( $true
         != ( sK4 @ X0
            @ ^ [Y0: a] : $false ) )
        | ( $true
          = ( sK4 @ X0 @ cE ) )
        | ( $true
          = ( sP0 @ X0 ) ) )
    | ~ spl10_8 ),
    inference(trivial_inequality_removal,[],[f620]) ).

thf(f620,plain,
    ( ! [X0: a > $o] :
        ( ( $true
         != ( sK4 @ X0
            @ ^ [Y0: a] : $false ) )
        | ( $true
         != ( X0 @ ( sK8 @ ( sK4 @ X0 ) ) ) )
        | ( $true
          = ( sK4 @ X0 @ cE ) )
        | ( $false = $true )
        | ( $true
          = ( X0 @ ( sK3 @ X0 ) ) )
        | ( $true
         != ( sK4 @ X0 @ ( sK7 @ ( sK4 @ X0 ) ) ) )
        | ( $true
          = ( sP0 @ X0 ) ) )
    | ~ spl10_8 ),
    inference(superposition,[],[f78,f475]) ).

thf(f475,plain,
    ! [X0: ( a > $o ) > $o] :
      ( ( ( X0
          @ ^ [Y0: a] :
              ( ( ( sK8 @ X0 )
                = Y0 )
              | ( sK7 @ X0 @ Y0 ) ) )
        = $false )
      | ( ( X0
          @ ^ [Y0: a] : $false )
       != $true )
      | ( ( X0 @ cE )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f470]) ).

thf(f470,plain,
    ! [X0: ( a > $o ) > $o] :
      ( ( $true != $true )
      | ( ( X0
          @ ^ [Y0: a] : $false )
       != $true )
      | ( ( X0
          @ ^ [Y0: a] :
              ( ( ( sK8 @ X0 )
                = Y0 )
              | ( sK7 @ X0 @ Y0 ) ) )
        = $false )
      | ( ( X0 @ cE )
        = $true ) ),
    inference(fool_paramodulation,[],[f45]) ).

thf(f45,plain,
    ! [X0: ( a > $o ) > $o] :
      ( ( ( X0
          @ ^ [Y0: a] :
              ( ( ( sK8 @ X0 )
                = Y0 )
              | ( sK7 @ X0 @ Y0 ) ) )
       != $true )
      | ( ( X0
          @ ^ [Y0: a] : $false )
       != $true )
      | ( ( X0 @ cE )
        = $true ) ),
    inference(cnf_transformation,[],[f27]) ).

thf(f78,plain,
    ( ! [X1: a > $o,X4: a > $o,X5: a] :
        ( ( $true
          = ( sK4 @ X1
            @ ^ [Y0: a] :
                ( ( X5 = Y0 )
                | ( X4 @ Y0 ) ) ) )
        | ( $true
          = ( X1 @ ( sK3 @ X1 ) ) )
        | ( $true
         != ( sK4 @ X1 @ X4 ) )
        | ( ( X1 @ X5 )
         != $true )
        | ( $true
          = ( sP0 @ X1 ) ) )
    | ~ spl10_8 ),
    inference(avatar_component_clause,[],[f77]) ).

thf(f1114,plain,
    ( ~ spl10_4
    | ~ spl10_11
    | spl10_42
    | spl10_43 ),
    inference(avatar_contradiction_clause,[],[f1113]) ).

thf(f1113,plain,
    ( $false
    | ~ spl10_4
    | ~ spl10_11
    | spl10_42
    | spl10_43 ),
    inference(trivial_inequality_removal,[],[f1112]) ).

thf(f1112,plain,
    ( ( $false = $true )
    | ~ spl10_4
    | ~ spl10_11
    | spl10_42
    | spl10_43 ),
    inference(backward_demodulation,[],[f1087,f1107]) ).

thf(f1087,plain,
    ( ( $true
      = ( cE @ ( sK3 @ cE ) ) )
    | ~ spl10_4
    | spl10_42 ),
    inference(trivial_inequality_removal,[],[f1086]) ).

thf(f1086,plain,
    ( ( $false = $true )
    | ( $true
      = ( cE @ ( sK3 @ cE ) ) )
    | ~ spl10_4
    | spl10_42 ),
    inference(forward_demodulation,[],[f1079,f349]) ).

thf(f1079,plain,
    ( ( $true
      = ( cE @ ( sK3 @ cE ) ) )
    | ( ( sP0 @ cE )
      = $true )
    | ~ spl10_4
    | spl10_42 ),
    inference(trivial_inequality_removal,[],[f1078]) ).

thf(f1078,plain,
    ( ( ( sP0 @ cE )
      = $true )
    | ( $true != $true )
    | ( $true
      = ( cE @ ( sK3 @ cE ) ) )
    | ~ spl10_4
    | spl10_42 ),
    inference(superposition,[],[f1047,f61]) ).

thf(f61,plain,
    ( ! [X1: a > $o] :
        ( ( $true
          = ( sK4 @ X1
            @ ^ [Y0: a] : $false ) )
        | ( $true
          = ( sP0 @ X1 ) )
        | ( $true
          = ( X1 @ ( sK3 @ X1 ) ) ) )
    | ~ spl10_4 ),
    inference(avatar_component_clause,[],[f60]) ).

thf(f60,plain,
    ( spl10_4
  <=> ! [X1: a > $o] :
        ( ( $true
          = ( X1 @ ( sK3 @ X1 ) ) )
        | ( $true
          = ( sP0 @ X1 ) )
        | ( $true
          = ( sK4 @ X1
            @ ^ [Y0: a] : $false ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).

thf(f1047,plain,
    ( ( $true
     != ( sK4 @ cE
        @ ^ [Y0: a] : $false ) )
    | spl10_42 ),
    inference(avatar_component_clause,[],[f1045]) ).

thf(f1085,plain,
    ( ~ spl10_43
    | ~ spl10_9
    | spl10_42 ),
    inference(avatar_split_clause,[],[f1084,f1045,f81,f1049]) ).

thf(f81,plain,
    ( spl10_9
  <=> ! [X1: a > $o] :
        ( ( $true
          = ( sP0 @ X1 ) )
        | ( $true
          = ( sK4 @ X1
            @ ^ [Y0: a] : $false ) )
        | ( $true
         != ( sK2 @ ( sK3 @ X1 ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).

thf(f1084,plain,
    ( ( $true
     != ( sK2 @ ( sK3 @ cE ) ) )
    | ~ spl10_9
    | spl10_42 ),
    inference(trivial_inequality_removal,[],[f1083]) ).

thf(f1083,plain,
    ( ( $true
     != ( sK2 @ ( sK3 @ cE ) ) )
    | ( $false = $true )
    | ~ spl10_9
    | spl10_42 ),
    inference(forward_demodulation,[],[f1080,f349]) ).

thf(f1080,plain,
    ( ( ( sP0 @ cE )
      = $true )
    | ( $true
     != ( sK2 @ ( sK3 @ cE ) ) )
    | ~ spl10_9
    | spl10_42 ),
    inference(trivial_inequality_removal,[],[f1077]) ).

thf(f1077,plain,
    ( ( ( sP0 @ cE )
      = $true )
    | ( $true != $true )
    | ( $true
     != ( sK2 @ ( sK3 @ cE ) ) )
    | ~ spl10_9
    | spl10_42 ),
    inference(superposition,[],[f1047,f82]) ).

thf(f82,plain,
    ( ! [X1: a > $o] :
        ( ( $true
          = ( sK4 @ X1
            @ ^ [Y0: a] : $false ) )
        | ( $true
         != ( sK2 @ ( sK3 @ X1 ) ) )
        | ( $true
          = ( sP0 @ X1 ) ) )
    | ~ spl10_9 ),
    inference(avatar_component_clause,[],[f81]) ).

thf(f1056,plain,
    ( ~ spl10_42
    | ~ spl10_43
    | spl10_44
    | ~ spl10_3 ),
    inference(avatar_split_clause,[],[f1043,f56,f1053,f1049,f1045]) ).

thf(f56,plain,
    ( spl10_3
  <=> ! [X4: a > $o,X5: a,X1: a > $o] :
        ( ( $true
          = ( sP0 @ X1 ) )
        | ( $true
         != ( sK4 @ X1 @ X4 ) )
        | ( $true
          = ( sK4 @ X1
            @ ^ [Y0: a] :
                ( ( X5 = Y0 )
                | ( X4 @ Y0 ) ) ) )
        | ( $true
         != ( sK2 @ ( sK3 @ X1 ) ) )
        | ( ( X1 @ X5 )
         != $true ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).

thf(f1043,plain,
    ( ( $true
      = ( sK4 @ cE @ cE ) )
    | ( $true
     != ( sK2 @ ( sK3 @ cE ) ) )
    | ( $true
     != ( sK4 @ cE
        @ ^ [Y0: a] : $false ) )
    | ~ spl10_3 ),
    inference(trivial_inequality_removal,[],[f1042]) ).

thf(f1042,plain,
    ( ( $false = $true )
    | ( $true
      = ( sK4 @ cE @ cE ) )
    | ( $true
     != ( sK2 @ ( sK3 @ cE ) ) )
    | ( $true
     != ( sK4 @ cE
        @ ^ [Y0: a] : $false ) )
    | ~ spl10_3 ),
    inference(forward_demodulation,[],[f994,f349]) ).

thf(f994,plain,
    ( ( $true
     != ( sK2 @ ( sK3 @ cE ) ) )
    | ( ( sP0 @ cE )
      = $true )
    | ( $true
      = ( sK4 @ cE @ cE ) )
    | ( $true
     != ( sK4 @ cE
        @ ^ [Y0: a] : $false ) )
    | ~ spl10_3 ),
    inference(trivial_inequality_removal,[],[f993]) ).

thf(f993,plain,
    ( ( $true != $true )
    | ( $true
      = ( sK4 @ cE @ cE ) )
    | ( $true
     != ( sK4 @ cE
        @ ^ [Y0: a] : $false ) )
    | ( $true
     != ( sK2 @ ( sK3 @ cE ) ) )
    | ( ( sP0 @ cE )
      = $true )
    | ~ spl10_3 ),
    inference(duplicate_literal_removal,[],[f986]) ).

thf(f986,plain,
    ( ( $true
     != ( sK2 @ ( sK3 @ cE ) ) )
    | ( $true != $true )
    | ( $true
     != ( sK4 @ cE
        @ ^ [Y0: a] : $false ) )
    | ( $true
      = ( sK4 @ cE @ cE ) )
    | ( ( sP0 @ cE )
      = $true )
    | ( $true
      = ( sK4 @ cE @ cE ) )
    | ( $true
     != ( sK4 @ cE
        @ ^ [Y0: a] : $false ) )
    | ~ spl10_3 ),
    inference(superposition,[],[f975,f44]) ).

thf(f975,plain,
    ( ! [X0: a > $o] :
        ( ( $true
         != ( X0 @ ( sK8 @ ( sK4 @ X0 ) ) ) )
        | ( $true
          = ( sP0 @ X0 ) )
        | ( $true
         != ( sK4 @ X0
            @ ^ [Y0: a] : $false ) )
        | ( $true
          = ( sK4 @ X0 @ cE ) )
        | ( $true
         != ( sK2 @ ( sK3 @ X0 ) ) ) )
    | ~ spl10_3 ),
    inference(trivial_inequality_removal,[],[f974]) ).

thf(f974,plain,
    ( ! [X0: a > $o] :
        ( ( $true
         != ( X0 @ ( sK8 @ ( sK4 @ X0 ) ) ) )
        | ( $true
         != ( sK4 @ X0
            @ ^ [Y0: a] : $false ) )
        | ( $true
         != ( sK2 @ ( sK3 @ X0 ) ) )
        | ( $true
          = ( sP0 @ X0 ) )
        | ( $true
          = ( sK4 @ X0 @ cE ) )
        | ( $true != $true ) )
    | ~ spl10_3 ),
    inference(duplicate_literal_removal,[],[f973]) ).

thf(f973,plain,
    ( ! [X0: a > $o] :
        ( ( $true
         != ( sK4 @ X0
            @ ^ [Y0: a] : $false ) )
        | ( $true
          = ( sP0 @ X0 ) )
        | ( $true
         != ( sK2 @ ( sK3 @ X0 ) ) )
        | ( $true
         != ( sK4 @ X0
            @ ^ [Y0: a] : $false ) )
        | ( $true != $true )
        | ( $true
          = ( sK4 @ X0 @ cE ) )
        | ( $true
         != ( X0 @ ( sK8 @ ( sK4 @ X0 ) ) ) )
        | ( $true
          = ( sK4 @ X0 @ cE ) ) )
    | ~ spl10_3 ),
    inference(superposition,[],[f615,f43]) ).

thf(f615,plain,
    ( ! [X0: a > $o] :
        ( ( $true
         != ( sK4 @ X0 @ ( sK7 @ ( sK4 @ X0 ) ) ) )
        | ( $true
          = ( sP0 @ X0 ) )
        | ( $true
          = ( sK4 @ X0 @ cE ) )
        | ( $true
         != ( sK2 @ ( sK3 @ X0 ) ) )
        | ( $true
         != ( sK4 @ X0
            @ ^ [Y0: a] : $false ) )
        | ( $true
         != ( X0 @ ( sK8 @ ( sK4 @ X0 ) ) ) ) )
    | ~ spl10_3 ),
    inference(trivial_inequality_removal,[],[f570]) ).

thf(f570,plain,
    ( ! [X0: a > $o] :
        ( ( $true
         != ( X0 @ ( sK8 @ ( sK4 @ X0 ) ) ) )
        | ( $false = $true )
        | ( $true
         != ( sK2 @ ( sK3 @ X0 ) ) )
        | ( $true
          = ( sP0 @ X0 ) )
        | ( $true
         != ( sK4 @ X0
            @ ^ [Y0: a] : $false ) )
        | ( $true
         != ( sK4 @ X0 @ ( sK7 @ ( sK4 @ X0 ) ) ) )
        | ( $true
          = ( sK4 @ X0 @ cE ) ) )
    | ~ spl10_3 ),
    inference(superposition,[],[f475,f57]) ).

thf(f57,plain,
    ( ! [X1: a > $o,X4: a > $o,X5: a] :
        ( ( $true
          = ( sK4 @ X1
            @ ^ [Y0: a] :
                ( ( X5 = Y0 )
                | ( X4 @ Y0 ) ) ) )
        | ( $true
         != ( sK2 @ ( sK3 @ X1 ) ) )
        | ( $true
         != ( sK4 @ X1 @ X4 ) )
        | ( ( X1 @ X5 )
         != $true )
        | ( $true
          = ( sP0 @ X1 ) ) )
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f56]) ).

thf(f92,plain,
    ( spl10_11
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f28,f51,f90]) ).

thf(f51,plain,
    ( spl10_2
  <=> ( sP1 = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).

thf(f28,plain,
    ! [X6: a] :
      ( ( $true
       != ( cE @ X6 ) )
      | ( sP1 != $true )
      | ( $true
        = ( sK2 @ X6 ) ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f17,plain,
    ( ( ( ( cA @ sK2 )
        = $true )
      & ! [X1: a > $o] :
          ( ( $true
            = ( sP0 @ X1 ) )
          | ( ( $true
              = ( X1 @ ( sK3 @ X1 ) ) )
            & ( $true
             != ( sK2 @ ( sK3 @ X1 ) ) ) )
          | ( ( ( sK4 @ X1 @ X1 )
             != $true )
            & ( $true
              = ( sK4 @ X1
                @ ^ [Y0: a] : $false ) )
            & ! [X4: a > $o] :
                ( ( $true
                 != ( sK4 @ X1 @ X4 ) )
                | ! [X5: a] :
                    ( ( $true
                      = ( sK4 @ X1
                        @ ^ [Y0: a] :
                            ( ( X5 = Y0 )
                            | ( X4 @ Y0 ) ) ) )
                    | ( ( X1 @ X5 )
                     != $true ) ) ) ) )
      & ! [X6: a] :
          ( ( $true
            = ( sK2 @ X6 ) )
          | ( $true
           != ( cE @ X6 ) ) ) )
    | ( sP1 != $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f13,f16,f15,f14]) ).

thf(f14,plain,
    ( ? [X0: a > $o] :
        ( ( $true
          = ( cA @ X0 ) )
        & ! [X1: a > $o] :
            ( ( $true
              = ( sP0 @ X1 ) )
            | ? [X2: a] :
                ( ( ( X1 @ X2 )
                  = $true )
                & ( $true
                 != ( X0 @ X2 ) ) )
            | ? [X3: ( a > $o ) > $o] :
                ( ( $true
                 != ( X3 @ X1 ) )
                & ( $true
                  = ( X3
                    @ ^ [Y0: a] : $false ) )
                & ! [X4: a > $o] :
                    ( ( $true
                     != ( X3 @ X4 ) )
                    | ! [X5: a] :
                        ( ( $true
                          = ( X3
                            @ ^ [Y0: a] :
                                ( ( X5 = Y0 )
                                | ( X4 @ Y0 ) ) ) )
                        | ( ( X1 @ X5 )
                         != $true ) ) ) ) )
        & ! [X6: a] :
            ( ( ( X0 @ X6 )
              = $true )
            | ( $true
             != ( cE @ X6 ) ) ) )
   => ( ( ( cA @ sK2 )
        = $true )
      & ! [X1: a > $o] :
          ( ( $true
            = ( sP0 @ X1 ) )
          | ? [X2: a] :
              ( ( ( X1 @ X2 )
                = $true )
              & ( ( sK2 @ X2 )
               != $true ) )
          | ? [X3: ( a > $o ) > $o] :
              ( ( $true
               != ( X3 @ X1 ) )
              & ( $true
                = ( X3
                  @ ^ [Y0: a] : $false ) )
              & ! [X4: a > $o] :
                  ( ( $true
                   != ( X3 @ X4 ) )
                  | ! [X5: a] :
                      ( ( $true
                        = ( X3
                          @ ^ [Y0: a] :
                              ( ( X5 = Y0 )
                              | ( X4 @ Y0 ) ) ) )
                      | ( ( X1 @ X5 )
                       != $true ) ) ) ) )
      & ! [X6: a] :
          ( ( $true
            = ( sK2 @ X6 ) )
          | ( $true
           != ( cE @ X6 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f15,plain,
    ! [X1: a > $o] :
      ( ? [X2: a] :
          ( ( ( X1 @ X2 )
            = $true )
          & ( ( sK2 @ X2 )
           != $true ) )
     => ( ( $true
          = ( X1 @ ( sK3 @ X1 ) ) )
        & ( $true
         != ( sK2 @ ( sK3 @ X1 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f16,plain,
    ! [X1: a > $o] :
      ( ? [X3: ( a > $o ) > $o] :
          ( ( $true
           != ( X3 @ X1 ) )
          & ( $true
            = ( X3
              @ ^ [Y0: a] : $false ) )
          & ! [X4: a > $o] :
              ( ( $true
               != ( X3 @ X4 ) )
              | ! [X5: a] :
                  ( ( $true
                    = ( X3
                      @ ^ [Y0: a] :
                          ( ( X5 = Y0 )
                          | ( X4 @ Y0 ) ) ) )
                  | ( ( X1 @ X5 )
                   != $true ) ) ) )
     => ( ( ( sK4 @ X1 @ X1 )
         != $true )
        & ( $true
          = ( sK4 @ X1
            @ ^ [Y0: a] : $false ) )
        & ! [X4: a > $o] :
            ( ( $true
             != ( sK4 @ X1 @ X4 ) )
            | ! [X5: a] :
                ( ( $true
                  = ( sK4 @ X1
                    @ ^ [Y0: a] :
                        ( ( X5 = Y0 )
                        | ( X4 @ Y0 ) ) ) )
                | ( ( X1 @ X5 )
                 != $true ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f13,plain,
    ( ? [X0: a > $o] :
        ( ( $true
          = ( cA @ X0 ) )
        & ! [X1: a > $o] :
            ( ( $true
              = ( sP0 @ X1 ) )
            | ? [X2: a] :
                ( ( ( X1 @ X2 )
                  = $true )
                & ( $true
                 != ( X0 @ X2 ) ) )
            | ? [X3: ( a > $o ) > $o] :
                ( ( $true
                 != ( X3 @ X1 ) )
                & ( $true
                  = ( X3
                    @ ^ [Y0: a] : $false ) )
                & ! [X4: a > $o] :
                    ( ( $true
                     != ( X3 @ X4 ) )
                    | ! [X5: a] :
                        ( ( $true
                          = ( X3
                            @ ^ [Y0: a] :
                                ( ( X5 = Y0 )
                                | ( X4 @ Y0 ) ) ) )
                        | ( ( X1 @ X5 )
                         != $true ) ) ) ) )
        & ! [X6: a] :
            ( ( ( X0 @ X6 )
              = $true )
            | ( $true
             != ( cE @ X6 ) ) ) )
    | ( sP1 != $true ) ),
    inference(rectify,[],[f12]) ).

thf(f12,plain,
    ( ? [X3: a > $o] :
        ( ( $true
          = ( cA @ X3 ) )
        & ! [X5: a > $o] :
            ( ( $true
              = ( sP0 @ X5 ) )
            | ? [X6: a] :
                ( ( $true
                  = ( X5 @ X6 ) )
                & ( $true
                 != ( X3 @ X6 ) ) )
            | ? [X10: ( a > $o ) > $o] :
                ( ( $true
                 != ( X10 @ X5 ) )
                & ( $true
                  = ( X10
                    @ ^ [Y0: a] : $false ) )
                & ! [X11: a > $o] :
                    ( ( $true
                     != ( X10 @ X11 ) )
                    | ! [X12: a] :
                        ( ( $true
                          = ( X10
                            @ ^ [Y0: a] :
                                ( ( X12 = Y0 )
                                | ( X11 @ Y0 ) ) ) )
                        | ( $true
                         != ( X5 @ X12 ) ) ) ) ) )
        & ! [X4: a] :
            ( ( $true
              = ( X3 @ X4 ) )
            | ( ( cE @ X4 )
             != $true ) ) )
    | ( sP1 != $true ) ),
    inference(nnf_transformation,[],[f10]) ).

thf(f83,plain,
    ( spl10_9
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f30,f51,f81]) ).

thf(f30,plain,
    ! [X1: a > $o] :
      ( ( $true
        = ( sP0 @ X1 ) )
      | ( $true
       != ( sK2 @ ( sK3 @ X1 ) ) )
      | ( $true
        = ( sK4 @ X1
          @ ^ [Y0: a] : $false ) )
      | ( sP1 != $true ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f79,plain,
    ( ~ spl10_2
    | spl10_8 ),
    inference(avatar_split_clause,[],[f32,f77,f51]) ).

thf(f32,plain,
    ! [X1: a > $o,X4: a > $o,X5: a] :
      ( ( $true
        = ( X1 @ ( sK3 @ X1 ) ) )
      | ( sP1 != $true )
      | ( $true
       != ( sK4 @ X1 @ X4 ) )
      | ( $true
        = ( sP0 @ X1 ) )
      | ( ( X1 @ X5 )
       != $true )
      | ( $true
        = ( sK4 @ X1
          @ ^ [Y0: a] :
              ( ( X5 = Y0 )
              | ( X4 @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f71,plain,
    ( ~ spl10_2
    | spl10_6 ),
    inference(avatar_split_clause,[],[f34,f69,f51]) ).

thf(f34,plain,
    ! [X1: a > $o] :
      ( ( $true
        = ( sP0 @ X1 ) )
      | ( $true
        = ( X1 @ ( sK3 @ X1 ) ) )
      | ( sP1 != $true )
      | ( ( sK4 @ X1 @ X1 )
       != $true ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f67,plain,
    ( ~ spl10_2
    | spl10_5 ),
    inference(avatar_split_clause,[],[f31,f65,f51]) ).

thf(f31,plain,
    ! [X1: a > $o] :
      ( ( $true
       != ( sK2 @ ( sK3 @ X1 ) ) )
      | ( $true
        = ( sP0 @ X1 ) )
      | ( ( sK4 @ X1 @ X1 )
       != $true )
      | ( sP1 != $true ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f63,plain,
    ( ~ spl10_1
    | spl10_2 ),
    inference(avatar_split_clause,[],[f40,f51,f47]) ).

thf(f47,plain,
    ( spl10_1
  <=> ( ( cA @ sK9 )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).

thf(f40,plain,
    ( ( ( cA @ sK9 )
     != $true )
    | ( sP1 = $true ) ),
    inference(cnf_transformation,[],[f27]) ).

thf(f62,plain,
    ( spl10_4
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f33,f51,f60]) ).

thf(f33,plain,
    ! [X1: a > $o] :
      ( ( $true
        = ( X1 @ ( sK3 @ X1 ) ) )
      | ( $true
        = ( sK4 @ X1
          @ ^ [Y0: a] : $false ) )
      | ( $true
        = ( sP0 @ X1 ) )
      | ( sP1 != $true ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f58,plain,
    ( ~ spl10_2
    | spl10_3 ),
    inference(avatar_split_clause,[],[f29,f56,f51]) ).

thf(f29,plain,
    ! [X1: a > $o,X4: a > $o,X5: a] :
      ( ( $true
        = ( sP0 @ X1 ) )
      | ( ( X1 @ X5 )
       != $true )
      | ( $true
       != ( sK2 @ ( sK3 @ X1 ) ) )
      | ( sP1 != $true )
      | ( $true
        = ( sK4 @ X1
          @ ^ [Y0: a] :
              ( ( X5 = Y0 )
              | ( X4 @ Y0 ) ) ) )
      | ( $true
       != ( sK4 @ X1 @ X4 ) ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f54,plain,
    ( spl10_1
    | spl10_2 ),
    inference(avatar_split_clause,[],[f42,f51,f47]) ).

thf(f42,plain,
    ( ( sP1 = $true )
    | ( ( cA @ sK9 )
      = $true ) ),
    inference(cnf_transformation,[],[f27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU876^5 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n027.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 16:42:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH0_THM_EQU_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/sandbox/benchmark/theBenchmark.p
% 0.14/0.37  % (13839)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  % (13841)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.37  % (13842)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)
% 0.14/0.37  % (13844)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  % (13843)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  % (13841)Instruction limit reached!
% 0.14/0.37  % (13841)------------------------------
% 0.14/0.37  % (13841)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (13838)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  % (13841)Termination reason: Unknown
% 0.14/0.37  % (13842)Instruction limit reached!
% 0.14/0.37  % (13842)------------------------------
% 0.14/0.37  % (13842)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (13842)Termination reason: Unknown
% 0.14/0.37  % (13842)Termination phase: Property scanning
% 0.14/0.37  
% 0.14/0.37  % (13842)Memory used [KB]: 895
% 0.14/0.37  % (13842)Time elapsed: 0.003 s
% 0.14/0.37  % (13842)Instructions burned: 2 (million)
% 0.14/0.37  % (13842)------------------------------
% 0.14/0.37  % (13842)------------------------------
% 0.14/0.37  % (13841)Termination phase: Preprocessing 2
% 0.14/0.37  
% 0.14/0.37  % (13841)Memory used [KB]: 895
% 0.14/0.37  % (13841)Time elapsed: 0.003 s
% 0.14/0.37  % (13841)Instructions burned: 2 (million)
% 0.14/0.37  % (13841)------------------------------
% 0.14/0.37  % (13841)------------------------------
% 0.14/0.37  % (13839)Instruction limit reached!
% 0.14/0.37  % (13839)------------------------------
% 0.14/0.37  % (13839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (13839)Termination reason: Unknown
% 0.14/0.37  % (13839)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (13839)Memory used [KB]: 5500
% 0.14/0.37  % (13839)Time elapsed: 0.005 s
% 0.14/0.37  % (13839)Instructions burned: 4 (million)
% 0.14/0.37  % (13839)------------------------------
% 0.14/0.37  % (13839)------------------------------
% 0.14/0.38  % (13845)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  % (13845)Instruction limit reached!
% 0.14/0.38  % (13845)------------------------------
% 0.14/0.38  % (13845)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (13845)Termination reason: Unknown
% 0.14/0.38  % (13845)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (13845)Memory used [KB]: 5500
% 0.14/0.38  % (13845)Time elapsed: 0.004 s
% 0.14/0.38  % (13845)Instructions burned: 3 (million)
% 0.14/0.38  % (13845)------------------------------
% 0.14/0.38  % (13845)------------------------------
% 0.14/0.38  % (13840)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  % (13843)Refutation not found, incomplete strategy
% 0.14/0.38  % (13843)------------------------------
% 0.14/0.38  % (13843)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (13843)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38  
% 0.14/0.38  
% 0.14/0.38  % (13843)Memory used [KB]: 5628
% 0.14/0.38  % (13843)Time elapsed: 0.014 s
% 0.14/0.38  % (13843)Instructions burned: 18 (million)
% 0.14/0.38  % (13844)Instruction limit reached!
% 0.14/0.38  % (13844)------------------------------
% 0.14/0.38  % (13844)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (13843)------------------------------
% 0.14/0.38  % (13843)------------------------------
% 0.14/0.38  % (13844)Termination reason: Unknown
% 0.14/0.38  % (13844)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (13844)Memory used [KB]: 5628
% 0.14/0.38  % (13844)Time elapsed: 0.014 s
% 0.14/0.38  % (13844)Instructions burned: 18 (million)
% 0.14/0.38  % (13844)------------------------------
% 0.14/0.38  % (13844)------------------------------
% 0.14/0.39  % (13846)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.39  % (13848)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.39  % (13848)Instruction limit reached!
% 0.14/0.39  % (13848)------------------------------
% 0.14/0.39  % (13848)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39  % (13848)Termination reason: Unknown
% 0.14/0.39  % (13848)Termination phase: Saturation
% 0.14/0.39  
% 0.14/0.39  % (13848)Memory used [KB]: 5500
% 0.14/0.39  % (13848)Time elapsed: 0.004 s
% 0.14/0.39  % (13848)Instructions burned: 3 (million)
% 0.14/0.39  % (13848)------------------------------
% 0.14/0.39  % (13848)------------------------------
% 0.14/0.39  % (13849)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.14/0.40  % (13847)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.40  % (13851)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.40  % (13850)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.40  % (13840)Instruction limit reached!
% 0.14/0.40  % (13840)------------------------------
% 0.14/0.40  % (13840)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (13840)Termination reason: Unknown
% 0.14/0.40  % (13840)Termination phase: Saturation
% 0.14/0.40  
% 0.14/0.40  % (13840)Memory used [KB]: 5756
% 0.14/0.40  % (13840)Time elapsed: 0.021 s
% 0.14/0.40  % (13840)Instructions burned: 28 (million)
% 0.14/0.40  % (13840)------------------------------
% 0.14/0.40  % (13840)------------------------------
% 0.14/0.41  % (13850)Instruction limit reached!
% 0.14/0.41  % (13850)------------------------------
% 0.14/0.41  % (13850)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (13850)Termination reason: Unknown
% 0.14/0.41  % (13850)Termination phase: Saturation
% 0.14/0.41  
% 0.14/0.41  % (13850)Memory used [KB]: 1023
% 0.14/0.41  % (13850)Time elapsed: 0.006 s
% 0.14/0.41  % (13850)Instructions burned: 8 (million)
% 0.14/0.41  % (13850)------------------------------
% 0.14/0.41  % (13850)------------------------------
% 0.14/0.41  % (13852)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.41  % (13852)Instruction limit reached!
% 0.14/0.41  % (13852)------------------------------
% 0.14/0.41  % (13852)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (13852)Termination reason: Unknown
% 0.14/0.41  % (13852)Termination phase: Property scanning
% 0.14/0.41  
% 0.14/0.41  % (13852)Memory used [KB]: 1023
% 0.14/0.41  % (13852)Time elapsed: 0.004 s
% 0.14/0.41  % (13852)Instructions burned: 3 (million)
% 0.14/0.41  % (13852)------------------------------
% 0.14/0.41  % (13852)------------------------------
% 0.14/0.41  % (13846)Instruction limit reached!
% 0.14/0.41  % (13846)------------------------------
% 0.14/0.41  % (13846)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (13846)Termination reason: Unknown
% 0.14/0.41  % (13846)Termination phase: Saturation
% 0.14/0.41  
% 0.14/0.41  % (13846)Memory used [KB]: 5628
% 0.14/0.41  % (13846)Time elapsed: 0.023 s
% 0.14/0.41  % (13846)Instructions burned: 37 (million)
% 0.14/0.41  % (13846)------------------------------
% 0.14/0.41  % (13846)------------------------------
% 0.14/0.41  % (13847)Instruction limit reached!
% 0.14/0.41  % (13847)------------------------------
% 0.14/0.41  % (13847)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (13847)Termination reason: Unknown
% 0.14/0.41  % (13847)Termination phase: Saturation
% 0.14/0.41  
% 0.14/0.41  % (13847)Memory used [KB]: 5756
% 0.14/0.41  % (13847)Time elapsed: 0.041 s
% 0.14/0.41  % (13847)Instructions burned: 15 (million)
% 0.14/0.41  % (13847)------------------------------
% 0.14/0.41  % (13847)------------------------------
% 0.14/0.41  % (13851)Instruction limit reached!
% 0.14/0.41  % (13851)------------------------------
% 0.14/0.41  % (13851)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (13851)Termination reason: Unknown
% 0.14/0.41  % (13851)Termination phase: Saturation
% 0.14/0.41  
% 0.14/0.41  % (13851)Memory used [KB]: 5628
% 0.14/0.41  % (13851)Time elapsed: 0.012 s
% 0.14/0.41  % (13851)Instructions burned: 16 (million)
% 0.14/0.41  % (13851)------------------------------
% 0.14/0.41  % (13851)------------------------------
% 0.14/0.42  % (13853)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.42  % (13853)Instruction limit reached!
% 0.14/0.42  % (13853)------------------------------
% 0.14/0.42  % (13853)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42  % (13853)Termination reason: Unknown
% 0.14/0.42  % (13853)Termination phase: Property scanning
% 0.14/0.42  
% 0.14/0.42  % (13853)Memory used [KB]: 1023
% 0.14/0.42  % (13854)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.42  % (13853)Time elapsed: 0.004 s
% 0.14/0.42  % (13853)Instructions burned: 3 (million)
% 0.14/0.42  % (13853)------------------------------
% 0.14/0.42  % (13853)------------------------------
% 0.14/0.42  % (13855)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.42  % (13854)Instruction limit reached!
% 0.14/0.42  % (13854)------------------------------
% 0.14/0.42  % (13854)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42  % (13854)Termination reason: Unknown
% 0.14/0.42  % (13854)Termination phase: Saturation
% 0.14/0.42  
% 0.14/0.42  % (13854)Memory used [KB]: 5628
% 0.14/0.42  % (13854)Time elapsed: 0.006 s
% 0.14/0.42  % (13854)Instructions burned: 8 (million)
% 0.14/0.42  % (13854)------------------------------
% 0.14/0.42  % (13854)------------------------------
% 0.14/0.42  % (13856)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.42  % (13857)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.42  % (13858)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.14/0.42  % (13855)Instruction limit reached!
% 0.14/0.42  % (13855)------------------------------
% 0.14/0.42  % (13855)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42  % (13855)Termination reason: Unknown
% 0.14/0.42  % (13855)Termination phase: Saturation
% 0.14/0.42  
% 0.14/0.42  % (13855)Memory used [KB]: 5500
% 0.14/0.42  % (13855)Time elapsed: 0.004 s
% 0.14/0.42  % (13855)Instructions burned: 4 (million)
% 0.14/0.42  % (13855)------------------------------
% 0.14/0.42  % (13855)------------------------------
% 0.14/0.43  % (13856)Instruction limit reached!
% 0.14/0.43  % (13856)------------------------------
% 0.14/0.43  % (13856)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.43  % (13856)Termination reason: Unknown
% 0.14/0.43  % (13856)Termination phase: Saturation
% 0.14/0.43  
% 0.14/0.43  % (13856)Memory used [KB]: 5500
% 0.14/0.43  % (13856)Time elapsed: 0.004 s
% 0.14/0.43  % (13856)Instructions burned: 4 (million)
% 0.14/0.43  % (13856)------------------------------
% 0.14/0.43  % (13856)------------------------------
% 0.20/0.43  % (13859)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.44  % (13857)Instruction limit reached!
% 0.20/0.44  % (13857)------------------------------
% 0.20/0.44  % (13857)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44  % (13857)Termination reason: Unknown
% 0.20/0.44  % (13857)Termination phase: Saturation
% 0.20/0.44  
% 0.20/0.44  % (13857)Memory used [KB]: 5628
% 0.20/0.44  % (13857)Time elapsed: 0.014 s
% 0.20/0.44  % (13857)Instructions burned: 19 (million)
% 0.20/0.44  % (13857)------------------------------
% 0.20/0.44  % (13857)------------------------------
% 0.20/0.44  % (13860)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.20/0.44  % (13859)Instruction limit reached!
% 0.20/0.44  % (13859)------------------------------
% 0.20/0.44  % (13859)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44  % (13859)Termination reason: Unknown
% 0.20/0.44  % (13859)Termination phase: Saturation
% 0.20/0.44  
% 0.20/0.44  % (13859)Memory used [KB]: 5500
% 0.20/0.44  % (13859)Time elapsed: 0.006 s
% 0.20/0.44  % (13859)Instructions burned: 7 (million)
% 0.20/0.44  % (13859)------------------------------
% 0.20/0.44  % (13859)------------------------------
% 0.20/0.44  % (13861)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.44  % (13862)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.44  % (13862)Instruction limit reached!
% 0.20/0.44  % (13862)------------------------------
% 0.20/0.44  % (13862)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44  % (13862)Termination reason: Unknown
% 0.20/0.44  % (13862)Termination phase: Saturation
% 0.20/0.44  
% 0.20/0.44  % (13862)Memory used [KB]: 5500
% 0.20/0.44  % (13862)Time elapsed: 0.005 s
% 0.20/0.44  % (13862)Instructions burned: 5 (million)
% 0.20/0.44  % (13862)------------------------------
% 0.20/0.44  % (13862)------------------------------
% 0.20/0.45  % (13863)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.45  % (13864)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.45  % (13861)Instruction limit reached!
% 0.20/0.45  % (13861)------------------------------
% 0.20/0.45  % (13861)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45  % (13861)Termination reason: Unknown
% 0.20/0.45  % (13861)Termination phase: Saturation
% 0.20/0.45  % (13863)Instruction limit reached!
% 0.20/0.45  % (13863)------------------------------
% 0.20/0.45  % (13863)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45  % (13863)Termination reason: Unknown
% 0.20/0.45  % (13863)Termination phase: Saturation
% 0.20/0.45  
% 0.20/0.45  % (13863)Memory used [KB]: 5500
% 0.20/0.45  % (13863)Time elapsed: 0.005 s
% 0.20/0.45  % (13863)Instructions burned: 6 (million)
% 0.20/0.45  % (13863)------------------------------
% 0.20/0.45  % (13863)------------------------------
% 0.20/0.45  
% 0.20/0.45  % (13861)Memory used [KB]: 5756
% 0.20/0.45  % (13861)Time elapsed: 0.016 s
% 0.20/0.45  % (13861)Instructions burned: 22 (million)
% 0.20/0.45  % (13861)------------------------------
% 0.20/0.45  % (13861)------------------------------
% 0.20/0.46  % (13865)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.20/0.47  % (13866)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.20/0.47  % (13867)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.20/0.47  % (13838)Instruction limit reached!
% 0.20/0.47  % (13838)------------------------------
% 0.20/0.47  % (13838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47  % (13838)Termination reason: Unknown
% 0.20/0.47  % (13838)Termination phase: Saturation
% 0.20/0.47  
% 0.20/0.47  % (13838)Memory used [KB]: 6652
% 0.20/0.47  % (13838)Time elapsed: 0.101 s
% 0.20/0.47  % (13838)Instructions burned: 185 (million)
% 0.20/0.47  % (13838)------------------------------
% 0.20/0.47  % (13838)------------------------------
% 0.20/0.47  % (13866)Instruction limit reached!
% 0.20/0.47  % (13866)------------------------------
% 0.20/0.47  % (13866)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47  % (13866)Termination reason: Unknown
% 0.20/0.47  % (13866)Termination phase: Saturation
% 0.20/0.47  
% 0.20/0.47  % (13866)Memory used [KB]: 5500
% 0.20/0.47  % (13866)Time elapsed: 0.008 s
% 0.20/0.47  % (13866)Instructions burned: 19 (million)
% 0.20/0.47  % (13866)------------------------------
% 0.20/0.47  % (13866)------------------------------
% 0.20/0.48  % (13869)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.48  % (13869)Instruction limit reached!
% 0.20/0.48  % (13869)------------------------------
% 0.20/0.48  % (13869)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48  % (13869)Termination reason: Unknown
% 0.20/0.48  % (13869)Termination phase: Preprocessing 3
% 0.20/0.48  
% 0.20/0.48  % (13869)Memory used [KB]: 1023
% 0.20/0.48  % (13869)Time elapsed: 0.002 s
% 0.20/0.48  % (13869)Instructions burned: 3 (million)
% 0.20/0.48  % (13869)------------------------------
% 0.20/0.48  % (13869)------------------------------
% 0.20/0.48  % (13868)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.20/0.49  % (13868)Instruction limit reached!
% 0.20/0.49  % (13868)------------------------------
% 0.20/0.49  % (13868)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49  % (13868)Termination reason: Unknown
% 0.20/0.49  % (13868)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (13868)Memory used [KB]: 5756
% 0.20/0.49  % (13868)Time elapsed: 0.008 s
% 0.20/0.49  % (13868)Instructions burned: 18 (million)
% 0.20/0.49  % (13868)------------------------------
% 0.20/0.49  % (13868)------------------------------
% 0.20/0.49  % (13870)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.20/0.50  % (13871)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.20/0.50  % (13870)Instruction limit reached!
% 0.20/0.50  % (13870)------------------------------
% 0.20/0.50  % (13870)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50  % (13870)Termination reason: Unknown
% 0.20/0.50  % (13870)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (13870)Memory used [KB]: 5756
% 0.20/0.50  % (13870)Time elapsed: 0.013 s
% 0.20/0.50  % (13870)Instructions burned: 32 (million)
% 0.20/0.50  % (13870)------------------------------
% 0.20/0.50  % (13870)------------------------------
% 0.20/0.51  % (13872)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.20/0.52  % (13864)First to succeed.
% 0.20/0.52  % (13864)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (13864)------------------------------
% 0.20/0.52  % (13864)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.52  % (13864)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (13864)Memory used [KB]: 6268
% 0.20/0.52  % (13864)Time elapsed: 0.070 s
% 0.20/0.52  % (13864)Instructions burned: 155 (million)
% 0.20/0.52  % (13864)------------------------------
% 0.20/0.52  % (13864)------------------------------
% 0.20/0.52  % (13837)Success in time 0.167 s
% 0.20/0.52  % Vampire---4.8 exiting
%------------------------------------------------------------------------------