TSTP Solution File: SEV149^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV149^5 : 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 : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 04:12:09 EDT 2024

% Result   : Theorem 0.18s 0.47s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  143 (   6 unt;  15 typ;   0 def)
%            Number of atoms       : 1807 ( 698 equ;   0 cnn)
%            Maximal formula atoms :   72 (  14 avg)
%            Number of connectives : 2463 ( 427   ~; 456   |; 190   &;1301   @)
%                                         (   5 <=>;  84  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  174 ( 174   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  18 usr;   9 con; 0-3 aty)
%            Number of variables   :  480 (  52   ^ 355   !;  72   ?; 480   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(func_def_4,type,
    sK0: a ).

thf(func_def_5,type,
    sK1: a ).

thf(func_def_6,type,
    sK2: a > a > $o ).

thf(func_def_7,type,
    sK3: a > a > $o ).

thf(func_def_8,type,
    sK4: ( a > $o ) > a ).

thf(func_def_9,type,
    sK5: ( a > $o ) > a ).

thf(func_def_10,type,
    sK6: ( a > $o ) > a ).

thf(func_def_11,type,
    sK7: a > $o ).

thf(func_def_12,type,
    sK8: a > a > $o ).

thf(func_def_13,type,
    sK9: a > a > $o ).

thf(func_def_14,type,
    sK10: a > a > a > $o ).

thf(func_def_15,type,
    sK11: a > a > a > $o ).

thf(func_def_18,type,
    ph13: 
      !>[X0: $tType] : X0 ).

thf(f1204,plain,
    $false,
    inference(avatar_sat_refutation,[],[f912,f950,f1151,f1193,f1196,f1200]) ).

thf(f1200,plain,
    ( spl12_16
    | ~ spl12_17
    | spl12_46
    | ~ spl12_58 ),
    inference(avatar_split_clause,[],[f1199,f1127,f770,f324,f320]) ).

thf(f320,plain,
    ( spl12_16
  <=> ( ( sK7 @ ( sK5 @ sK7 ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).

thf(f324,plain,
    ( spl12_17
  <=> ( ( sK7 @ ( sK4 @ sK7 ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).

thf(f770,plain,
    ( spl12_46
  <=> ( ( sK7 @ ( sK5 @ sK7 ) )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_46])]) ).

thf(f1127,plain,
    ( spl12_58
  <=> ! [X0: a > $o] :
        ( ( ( sK7 @ ( sK5 @ X0 ) )
          = $true )
        | ( $true
          = ( sK7 @ ( sK6 @ X0 ) ) )
        | ( ( sK7 @ ( sK4 @ X0 ) )
         != $true )
        | ( $true
          = ( X0 @ sK1 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_58])]) ).

thf(f1199,plain,
    ( ( ( sK7 @ ( sK5 @ sK7 ) )
      = $true )
    | ~ spl12_17
    | spl12_46
    | ~ spl12_58 ),
    inference(subsumption_resolution,[],[f1198,f771]) ).

thf(f771,plain,
    ( ( ( sK7 @ ( sK5 @ sK7 ) )
     != $false )
    | spl12_46 ),
    inference(avatar_component_clause,[],[f770]) ).

thf(f1198,plain,
    ( ( ( sK7 @ ( sK5 @ sK7 ) )
      = $false )
    | ( ( sK7 @ ( sK5 @ sK7 ) )
      = $true )
    | ~ spl12_17
    | ~ spl12_58 ),
    inference(subsumption_resolution,[],[f1197,f30]) ).

thf(f30,plain,
    ( ( sK7 @ sK1 )
   != $true ),
    inference(cnf_transformation,[],[f17]) ).

thf(f17,plain,
    ( ! [X4: a > $o] :
        ( ( ( $true
           != ( X4 @ ( sK5 @ X4 ) ) )
          & ( ( ( sK3 @ ( sK4 @ X4 ) @ ( sK5 @ X4 ) )
              = $true )
            | ( $true
              = ( sK2 @ ( sK4 @ X4 ) @ ( sK5 @ X4 ) ) ) )
          & ( ( X4 @ ( sK4 @ X4 ) )
            = $true ) )
        | ( ( ( ( sK2 @ sK0 @ ( sK6 @ X4 ) )
              = $true )
            | ( $true
              = ( sK3 @ sK0 @ ( sK6 @ X4 ) ) ) )
          & ( $true
           != ( X4 @ ( sK6 @ X4 ) ) ) )
        | ( ( X4 @ sK1 )
          = $true ) )
    & ( ( sK7 @ sK1 )
     != $true )
    & ! [X9: a] :
        ( ( ( $true
           != ( sK8 @ X9 @ X9 ) )
          & ! [X11: a] :
              ( ( ( sK3 @ sK0 @ X11 )
               != $true )
              | ( ( sK8 @ X9 @ X11 )
                = $true ) )
          & ! [X12: a,X13: a] :
              ( ( $true
               != ( sK3 @ X13 @ X12 ) )
              | ( $true
               != ( sK8 @ X9 @ X13 ) )
              | ( ( sK8 @ X9 @ X12 )
                = $true ) )
          & ! [X15: a] :
              ( ( $true
                = ( sK9 @ X9 @ X15 ) )
              | ( ( sK2 @ sK0 @ X15 )
               != $true ) )
          & ! [X16: a,X17: a] :
              ( ( $true
               != ( sK2 @ X17 @ X16 ) )
              | ( ( sK9 @ X9 @ X17 )
               != $true )
              | ( $true
                = ( sK9 @ X9 @ X16 ) ) )
          & ( ( sK9 @ X9 @ X9 )
           != $true ) )
        | ( $true
          = ( sK7 @ X9 ) ) )
    & ! [X18: a,X19: a] :
        ( ( ! [X21: a,X22: a] :
              ( ( ( sK10 @ X19 @ X18 @ X21 )
                = $true )
              | ( $true
               != ( sK10 @ X19 @ X18 @ X22 ) )
              | ( $true
               != ( sK3 @ X22 @ X21 ) ) )
          & ! [X23: a] :
              ( ( $true
               != ( sK3 @ X19 @ X23 ) )
              | ( ( sK10 @ X19 @ X18 @ X23 )
                = $true ) )
          & ( $true
           != ( sK10 @ X19 @ X18 @ X18 ) )
          & ! [X25: a] :
              ( ( ( sK2 @ X19 @ X25 )
               != $true )
              | ( ( sK11 @ X19 @ X18 @ X25 )
                = $true ) )
          & ( ( sK11 @ X19 @ X18 @ X18 )
           != $true )
          & ! [X26: a,X27: a] :
              ( ( ( sK11 @ X19 @ X18 @ X26 )
               != $true )
              | ( ( sK2 @ X26 @ X27 )
               != $true )
              | ( $true
                = ( sK11 @ X19 @ X18 @ X27 ) ) ) )
        | ( ( sK7 @ X19 )
         != $true )
        | ( ( sK7 @ X18 )
          = $true ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f8,f16,f15,f14,f13,f12,f11,f10,f9]) ).

thf(f9,plain,
    ( ? [X0: a,X1: a,X2: a > a > $o,X3: a > a > $o] :
        ( ! [X4: a > $o] :
            ( ? [X5: a,X6: a] :
                ( ( ( X4 @ X6 )
                 != $true )
                & ( ( ( X3 @ X5 @ X6 )
                    = $true )
                  | ( $true
                    = ( X2 @ X5 @ X6 ) ) )
                & ( ( X4 @ X5 )
                  = $true ) )
            | ? [X7: a] :
                ( ( ( ( X2 @ X0 @ X7 )
                    = $true )
                  | ( ( X3 @ X0 @ X7 )
                    = $true ) )
                & ( ( X4 @ X7 )
                 != $true ) )
            | ( $true
              = ( X4 @ X1 ) ) )
        & ? [X8: a > $o] :
            ( ( ( X8 @ X1 )
             != $true )
            & ! [X9: a] :
                ( ( ? [X10: a > $o] :
                      ( ( ( X10 @ X9 )
                       != $true )
                      & ! [X11: a] :
                          ( ( $true
                           != ( X3 @ X0 @ X11 ) )
                          | ( ( X10 @ X11 )
                            = $true ) )
                      & ! [X12: a,X13: a] :
                          ( ( $true
                           != ( X3 @ X13 @ X12 ) )
                          | ( $true
                           != ( X10 @ X13 ) )
                          | ( ( X10 @ X12 )
                            = $true ) ) )
                  & ? [X14: a > $o] :
                      ( ! [X15: a] :
                          ( ( $true
                            = ( X14 @ X15 ) )
                          | ( $true
                           != ( X2 @ X0 @ X15 ) ) )
                      & ! [X16: a,X17: a] :
                          ( ( ( X2 @ X17 @ X16 )
                           != $true )
                          | ( $true
                           != ( X14 @ X17 ) )
                          | ( $true
                            = ( X14 @ X16 ) ) )
                      & ( $true
                       != ( X14 @ X9 ) ) ) )
                | ( ( X8 @ X9 )
                  = $true ) )
            & ! [X18: a,X19: a] :
                ( ( ? [X20: a > $o] :
                      ( ! [X21: a,X22: a] :
                          ( ( $true
                            = ( X20 @ X21 ) )
                          | ( ( X20 @ X22 )
                           != $true )
                          | ( $true
                           != ( X3 @ X22 @ X21 ) ) )
                      & ! [X23: a] :
                          ( ( $true
                           != ( X3 @ X19 @ X23 ) )
                          | ( $true
                            = ( X20 @ X23 ) ) )
                      & ( ( X20 @ X18 )
                       != $true ) )
                  & ? [X24: a > $o] :
                      ( ! [X25: a] :
                          ( ( $true
                           != ( X2 @ X19 @ X25 ) )
                          | ( $true
                            = ( X24 @ X25 ) ) )
                      & ( ( X24 @ X18 )
                       != $true )
                      & ! [X26: a,X27: a] :
                          ( ( ( X24 @ X26 )
                           != $true )
                          | ( $true
                           != ( X2 @ X26 @ X27 ) )
                          | ( $true
                            = ( X24 @ X27 ) ) ) ) )
                | ( $true
                 != ( X8 @ X19 ) )
                | ( ( X8 @ X18 )
                  = $true ) ) ) )
   => ( ! [X4: a > $o] :
          ( ? [X6: a,X5: a] :
              ( ( ( X4 @ X6 )
               != $true )
              & ( ( $true
                  = ( sK3 @ X5 @ X6 ) )
                | ( ( sK2 @ X5 @ X6 )
                  = $true ) )
              & ( ( X4 @ X5 )
                = $true ) )
          | ? [X7: a] :
              ( ( ( $true
                  = ( sK2 @ sK0 @ X7 ) )
                | ( ( sK3 @ sK0 @ X7 )
                  = $true ) )
              & ( ( X4 @ X7 )
               != $true ) )
          | ( ( X4 @ sK1 )
            = $true ) )
      & ? [X8: a > $o] :
          ( ( $true
           != ( X8 @ sK1 ) )
          & ! [X9: a] :
              ( ( ? [X10: a > $o] :
                    ( ( ( X10 @ X9 )
                     != $true )
                    & ! [X11: a] :
                        ( ( ( sK3 @ sK0 @ X11 )
                         != $true )
                        | ( ( X10 @ X11 )
                          = $true ) )
                    & ! [X13: a,X12: a] :
                        ( ( $true
                         != ( sK3 @ X13 @ X12 ) )
                        | ( $true
                         != ( X10 @ X13 ) )
                        | ( ( X10 @ X12 )
                          = $true ) ) )
                & ? [X14: a > $o] :
                    ( ! [X15: a] :
                        ( ( $true
                          = ( X14 @ X15 ) )
                        | ( ( sK2 @ sK0 @ X15 )
                         != $true ) )
                    & ! [X17: a,X16: a] :
                        ( ( $true
                         != ( sK2 @ X17 @ X16 ) )
                        | ( $true
                         != ( X14 @ X17 ) )
                        | ( $true
                          = ( X14 @ X16 ) ) )
                    & ( $true
                     != ( X14 @ X9 ) ) ) )
              | ( ( X8 @ X9 )
                = $true ) )
          & ! [X19: a,X18: a] :
              ( ( ? [X20: a > $o] :
                    ( ! [X22: a,X21: a] :
                        ( ( $true
                          = ( X20 @ X21 ) )
                        | ( ( X20 @ X22 )
                         != $true )
                        | ( $true
                         != ( sK3 @ X22 @ X21 ) ) )
                    & ! [X23: a] :
                        ( ( $true
                         != ( sK3 @ X19 @ X23 ) )
                        | ( $true
                          = ( X20 @ X23 ) ) )
                    & ( ( X20 @ X18 )
                     != $true ) )
                & ? [X24: a > $o] :
                    ( ! [X25: a] :
                        ( ( ( sK2 @ X19 @ X25 )
                         != $true )
                        | ( $true
                          = ( X24 @ X25 ) ) )
                    & ( ( X24 @ X18 )
                     != $true )
                    & ! [X27: a,X26: a] :
                        ( ( ( X24 @ X26 )
                         != $true )
                        | ( ( sK2 @ X26 @ X27 )
                         != $true )
                        | ( $true
                          = ( X24 @ X27 ) ) ) ) )
              | ( $true
               != ( X8 @ X19 ) )
              | ( ( X8 @ X18 )
                = $true ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f10,plain,
    ! [X4: a > $o] :
      ( ? [X6: a,X5: a] :
          ( ( ( X4 @ X6 )
           != $true )
          & ( ( $true
              = ( sK3 @ X5 @ X6 ) )
            | ( ( sK2 @ X5 @ X6 )
              = $true ) )
          & ( ( X4 @ X5 )
            = $true ) )
     => ( ( $true
         != ( X4 @ ( sK5 @ X4 ) ) )
        & ( ( ( sK3 @ ( sK4 @ X4 ) @ ( sK5 @ X4 ) )
            = $true )
          | ( $true
            = ( sK2 @ ( sK4 @ X4 ) @ ( sK5 @ X4 ) ) ) )
        & ( ( X4 @ ( sK4 @ X4 ) )
          = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ! [X4: a > $o] :
      ( ? [X7: a] :
          ( ( ( $true
              = ( sK2 @ sK0 @ X7 ) )
            | ( ( sK3 @ sK0 @ X7 )
              = $true ) )
          & ( ( X4 @ X7 )
           != $true ) )
     => ( ( ( ( sK2 @ sK0 @ ( sK6 @ X4 ) )
            = $true )
          | ( $true
            = ( sK3 @ sK0 @ ( sK6 @ X4 ) ) ) )
        & ( $true
         != ( X4 @ ( sK6 @ X4 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f12,plain,
    ( ? [X8: a > $o] :
        ( ( $true
         != ( X8 @ sK1 ) )
        & ! [X9: a] :
            ( ( ? [X10: a > $o] :
                  ( ( ( X10 @ X9 )
                   != $true )
                  & ! [X11: a] :
                      ( ( ( sK3 @ sK0 @ X11 )
                       != $true )
                      | ( ( X10 @ X11 )
                        = $true ) )
                  & ! [X13: a,X12: a] :
                      ( ( $true
                       != ( sK3 @ X13 @ X12 ) )
                      | ( $true
                       != ( X10 @ X13 ) )
                      | ( ( X10 @ X12 )
                        = $true ) ) )
              & ? [X14: a > $o] :
                  ( ! [X15: a] :
                      ( ( $true
                        = ( X14 @ X15 ) )
                      | ( ( sK2 @ sK0 @ X15 )
                       != $true ) )
                  & ! [X17: a,X16: a] :
                      ( ( $true
                       != ( sK2 @ X17 @ X16 ) )
                      | ( $true
                       != ( X14 @ X17 ) )
                      | ( $true
                        = ( X14 @ X16 ) ) )
                  & ( $true
                   != ( X14 @ X9 ) ) ) )
            | ( ( X8 @ X9 )
              = $true ) )
        & ! [X19: a,X18: a] :
            ( ( ? [X20: a > $o] :
                  ( ! [X22: a,X21: a] :
                      ( ( $true
                        = ( X20 @ X21 ) )
                      | ( ( X20 @ X22 )
                       != $true )
                      | ( $true
                       != ( sK3 @ X22 @ X21 ) ) )
                  & ! [X23: a] :
                      ( ( $true
                       != ( sK3 @ X19 @ X23 ) )
                      | ( $true
                        = ( X20 @ X23 ) ) )
                  & ( ( X20 @ X18 )
                   != $true ) )
              & ? [X24: a > $o] :
                  ( ! [X25: a] :
                      ( ( ( sK2 @ X19 @ X25 )
                       != $true )
                      | ( $true
                        = ( X24 @ X25 ) ) )
                  & ( ( X24 @ X18 )
                   != $true )
                  & ! [X27: a,X26: a] :
                      ( ( ( X24 @ X26 )
                       != $true )
                      | ( ( sK2 @ X26 @ X27 )
                       != $true )
                      | ( $true
                        = ( X24 @ X27 ) ) ) ) )
            | ( $true
             != ( X8 @ X19 ) )
            | ( ( X8 @ X18 )
              = $true ) ) )
   => ( ( ( sK7 @ sK1 )
       != $true )
      & ! [X9: a] :
          ( ( ? [X10: a > $o] :
                ( ( ( X10 @ X9 )
                 != $true )
                & ! [X11: a] :
                    ( ( ( sK3 @ sK0 @ X11 )
                     != $true )
                    | ( ( X10 @ X11 )
                      = $true ) )
                & ! [X13: a,X12: a] :
                    ( ( $true
                     != ( sK3 @ X13 @ X12 ) )
                    | ( $true
                     != ( X10 @ X13 ) )
                    | ( ( X10 @ X12 )
                      = $true ) ) )
            & ? [X14: a > $o] :
                ( ! [X15: a] :
                    ( ( $true
                      = ( X14 @ X15 ) )
                    | ( ( sK2 @ sK0 @ X15 )
                     != $true ) )
                & ! [X17: a,X16: a] :
                    ( ( $true
                     != ( sK2 @ X17 @ X16 ) )
                    | ( $true
                     != ( X14 @ X17 ) )
                    | ( $true
                      = ( X14 @ X16 ) ) )
                & ( $true
                 != ( X14 @ X9 ) ) ) )
          | ( $true
            = ( sK7 @ X9 ) ) )
      & ! [X19: a,X18: a] :
          ( ( ? [X20: a > $o] :
                ( ! [X22: a,X21: a] :
                    ( ( $true
                      = ( X20 @ X21 ) )
                    | ( ( X20 @ X22 )
                     != $true )
                    | ( $true
                     != ( sK3 @ X22 @ X21 ) ) )
                & ! [X23: a] :
                    ( ( $true
                     != ( sK3 @ X19 @ X23 ) )
                    | ( $true
                      = ( X20 @ X23 ) ) )
                & ( ( X20 @ X18 )
                 != $true ) )
            & ? [X24: a > $o] :
                ( ! [X25: a] :
                    ( ( ( sK2 @ X19 @ X25 )
                     != $true )
                    | ( $true
                      = ( X24 @ X25 ) ) )
                & ( ( X24 @ X18 )
                 != $true )
                & ! [X27: a,X26: a] :
                    ( ( ( X24 @ X26 )
                     != $true )
                    | ( ( sK2 @ X26 @ X27 )
                     != $true )
                    | ( $true
                      = ( X24 @ X27 ) ) ) ) )
          | ( ( sK7 @ X19 )
           != $true )
          | ( ( sK7 @ X18 )
            = $true ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f13,plain,
    ! [X9: a] :
      ( ? [X10: a > $o] :
          ( ( ( X10 @ X9 )
           != $true )
          & ! [X11: a] :
              ( ( ( sK3 @ sK0 @ X11 )
               != $true )
              | ( ( X10 @ X11 )
                = $true ) )
          & ! [X13: a,X12: a] :
              ( ( $true
               != ( sK3 @ X13 @ X12 ) )
              | ( $true
               != ( X10 @ X13 ) )
              | ( ( X10 @ X12 )
                = $true ) ) )
     => ( ( $true
         != ( sK8 @ X9 @ X9 ) )
        & ! [X11: a] :
            ( ( ( sK3 @ sK0 @ X11 )
             != $true )
            | ( ( sK8 @ X9 @ X11 )
              = $true ) )
        & ! [X13: a,X12: a] :
            ( ( $true
             != ( sK3 @ X13 @ X12 ) )
            | ( $true
             != ( sK8 @ X9 @ X13 ) )
            | ( ( sK8 @ X9 @ X12 )
              = $true ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f14,plain,
    ! [X9: a] :
      ( ? [X14: a > $o] :
          ( ! [X15: a] :
              ( ( $true
                = ( X14 @ X15 ) )
              | ( ( sK2 @ sK0 @ X15 )
               != $true ) )
          & ! [X17: a,X16: a] :
              ( ( $true
               != ( sK2 @ X17 @ X16 ) )
              | ( $true
               != ( X14 @ X17 ) )
              | ( $true
                = ( X14 @ X16 ) ) )
          & ( $true
           != ( X14 @ X9 ) ) )
     => ( ! [X15: a] :
            ( ( $true
              = ( sK9 @ X9 @ X15 ) )
            | ( ( sK2 @ sK0 @ X15 )
             != $true ) )
        & ! [X17: a,X16: a] :
            ( ( $true
             != ( sK2 @ X17 @ X16 ) )
            | ( ( sK9 @ X9 @ X17 )
             != $true )
            | ( $true
              = ( sK9 @ X9 @ X16 ) ) )
        & ( ( sK9 @ X9 @ X9 )
         != $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f15,plain,
    ! [X18: a,X19: a] :
      ( ? [X20: a > $o] :
          ( ! [X22: a,X21: a] :
              ( ( $true
                = ( X20 @ X21 ) )
              | ( ( X20 @ X22 )
               != $true )
              | ( $true
               != ( sK3 @ X22 @ X21 ) ) )
          & ! [X23: a] :
              ( ( $true
               != ( sK3 @ X19 @ X23 ) )
              | ( $true
                = ( X20 @ X23 ) ) )
          & ( ( X20 @ X18 )
           != $true ) )
     => ( ! [X22: a,X21: a] :
            ( ( ( sK10 @ X19 @ X18 @ X21 )
              = $true )
            | ( $true
             != ( sK10 @ X19 @ X18 @ X22 ) )
            | ( $true
             != ( sK3 @ X22 @ X21 ) ) )
        & ! [X23: a] :
            ( ( $true
             != ( sK3 @ X19 @ X23 ) )
            | ( ( sK10 @ X19 @ X18 @ X23 )
              = $true ) )
        & ( $true
         != ( sK10 @ X19 @ X18 @ X18 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f16,plain,
    ! [X18: a,X19: a] :
      ( ? [X24: a > $o] :
          ( ! [X25: a] :
              ( ( ( sK2 @ X19 @ X25 )
               != $true )
              | ( $true
                = ( X24 @ X25 ) ) )
          & ( ( X24 @ X18 )
           != $true )
          & ! [X27: a,X26: a] :
              ( ( ( X24 @ X26 )
               != $true )
              | ( ( sK2 @ X26 @ X27 )
               != $true )
              | ( $true
                = ( X24 @ X27 ) ) ) )
     => ( ! [X25: a] :
            ( ( ( sK2 @ X19 @ X25 )
             != $true )
            | ( ( sK11 @ X19 @ X18 @ X25 )
              = $true ) )
        & ( ( sK11 @ X19 @ X18 @ X18 )
         != $true )
        & ! [X27: a,X26: a] :
            ( ( ( sK11 @ X19 @ X18 @ X26 )
             != $true )
            | ( ( sK2 @ X26 @ X27 )
             != $true )
            | ( $true
              = ( sK11 @ X19 @ X18 @ X27 ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f8,plain,
    ? [X0: a,X1: a,X2: a > a > $o,X3: a > a > $o] :
      ( ! [X4: a > $o] :
          ( ? [X5: a,X6: a] :
              ( ( ( X4 @ X6 )
               != $true )
              & ( ( ( X3 @ X5 @ X6 )
                  = $true )
                | ( $true
                  = ( X2 @ X5 @ X6 ) ) )
              & ( ( X4 @ X5 )
                = $true ) )
          | ? [X7: a] :
              ( ( ( ( X2 @ X0 @ X7 )
                  = $true )
                | ( ( X3 @ X0 @ X7 )
                  = $true ) )
              & ( ( X4 @ X7 )
               != $true ) )
          | ( $true
            = ( X4 @ X1 ) ) )
      & ? [X8: a > $o] :
          ( ( ( X8 @ X1 )
           != $true )
          & ! [X9: a] :
              ( ( ? [X10: a > $o] :
                    ( ( ( X10 @ X9 )
                     != $true )
                    & ! [X11: a] :
                        ( ( $true
                         != ( X3 @ X0 @ X11 ) )
                        | ( ( X10 @ X11 )
                          = $true ) )
                    & ! [X12: a,X13: a] :
                        ( ( $true
                         != ( X3 @ X13 @ X12 ) )
                        | ( $true
                         != ( X10 @ X13 ) )
                        | ( ( X10 @ X12 )
                          = $true ) ) )
                & ? [X14: a > $o] :
                    ( ! [X15: a] :
                        ( ( $true
                          = ( X14 @ X15 ) )
                        | ( $true
                         != ( X2 @ X0 @ X15 ) ) )
                    & ! [X16: a,X17: a] :
                        ( ( ( X2 @ X17 @ X16 )
                         != $true )
                        | ( $true
                         != ( X14 @ X17 ) )
                        | ( $true
                          = ( X14 @ X16 ) ) )
                    & ( $true
                     != ( X14 @ X9 ) ) ) )
              | ( ( X8 @ X9 )
                = $true ) )
          & ! [X18: a,X19: a] :
              ( ( ? [X20: a > $o] :
                    ( ! [X21: a,X22: a] :
                        ( ( $true
                          = ( X20 @ X21 ) )
                        | ( ( X20 @ X22 )
                         != $true )
                        | ( $true
                         != ( X3 @ X22 @ X21 ) ) )
                    & ! [X23: a] :
                        ( ( $true
                         != ( X3 @ X19 @ X23 ) )
                        | ( $true
                          = ( X20 @ X23 ) ) )
                    & ( ( X20 @ X18 )
                     != $true ) )
                & ? [X24: a > $o] :
                    ( ! [X25: a] :
                        ( ( $true
                         != ( X2 @ X19 @ X25 ) )
                        | ( $true
                          = ( X24 @ X25 ) ) )
                    & ( ( X24 @ X18 )
                     != $true )
                    & ! [X26: a,X27: a] :
                        ( ( ( X24 @ X26 )
                         != $true )
                        | ( $true
                         != ( X2 @ X26 @ X27 ) )
                        | ( $true
                          = ( X24 @ X27 ) ) ) ) )
              | ( $true
               != ( X8 @ X19 ) )
              | ( ( X8 @ X18 )
                = $true ) ) ) ),
    inference(rectify,[],[f7]) ).

thf(f7,plain,
    ? [X2: a,X1: a,X0: a > a > $o,X3: a > a > $o] :
      ( ! [X4: a > $o] :
          ( ? [X5: a,X6: a] :
              ( ( ( X4 @ X6 )
               != $true )
              & ( ( ( X3 @ X5 @ X6 )
                  = $true )
                | ( $true
                  = ( X0 @ X5 @ X6 ) ) )
              & ( ( X4 @ X5 )
                = $true ) )
          | ? [X7: a] :
              ( ( ( ( X0 @ X2 @ X7 )
                  = $true )
                | ( $true
                  = ( X3 @ X2 @ X7 ) ) )
              & ( ( X4 @ X7 )
               != $true ) )
          | ( $true
            = ( X4 @ X1 ) ) )
      & ? [X8: a > $o] :
          ( ( ( X8 @ X1 )
           != $true )
          & ! [X19: a] :
              ( ( ? [X20: a > $o] :
                    ( ( $true
                     != ( X20 @ X19 ) )
                    & ! [X21: a] :
                        ( ( $true
                         != ( X3 @ X2 @ X21 ) )
                        | ( $true
                          = ( X20 @ X21 ) ) )
                    & ! [X23: a,X22: a] :
                        ( ( ( X3 @ X22 @ X23 )
                         != $true )
                        | ( ( X20 @ X22 )
                         != $true )
                        | ( $true
                          = ( X20 @ X23 ) ) ) )
                & ? [X24: a > $o] :
                    ( ! [X27: a] :
                        ( ( $true
                          = ( X24 @ X27 ) )
                        | ( ( X0 @ X2 @ X27 )
                         != $true ) )
                    & ! [X26: a,X25: a] :
                        ( ( ( X0 @ X25 @ X26 )
                         != $true )
                        | ( $true
                         != ( X24 @ X25 ) )
                        | ( ( X24 @ X26 )
                          = $true ) )
                    & ( $true
                     != ( X24 @ X19 ) ) ) )
              | ( $true
                = ( X8 @ X19 ) ) )
          & ! [X10: a,X9: a] :
              ( ( ? [X15: a > $o] :
                    ( ! [X17: a,X16: a] :
                        ( ( $true
                          = ( X15 @ X17 ) )
                        | ( $true
                         != ( X15 @ X16 ) )
                        | ( ( X3 @ X16 @ X17 )
                         != $true ) )
                    & ! [X18: a] :
                        ( ( $true
                         != ( X3 @ X9 @ X18 ) )
                        | ( ( X15 @ X18 )
                          = $true ) )
                    & ( ( X15 @ X10 )
                     != $true ) )
                & ? [X11: a > $o] :
                    ( ! [X12: a] :
                        ( ( ( X0 @ X9 @ X12 )
                         != $true )
                        | ( ( X11 @ X12 )
                          = $true ) )
                    & ( ( X11 @ X10 )
                     != $true )
                    & ! [X14: a,X13: a] :
                        ( ( ( X11 @ X14 )
                         != $true )
                        | ( $true
                         != ( X0 @ X14 @ X13 ) )
                        | ( ( X11 @ X13 )
                          = $true ) ) ) )
              | ( ( X8 @ X9 )
               != $true )
              | ( ( X8 @ X10 )
                = $true ) ) ) ),
    inference(flattening,[],[f6]) ).

thf(f6,plain,
    ? [X1: a,X0: a > a > $o,X2: a,X3: a > a > $o] :
      ( ? [X8: a > $o] :
          ( ( ( X8 @ X1 )
           != $true )
          & ! [X9: a,X10: a] :
              ( ( ( X8 @ X10 )
                = $true )
              | ( ? [X15: a > $o] :
                    ( ( ( X15 @ X10 )
                     != $true )
                    & ! [X16: a,X17: a] :
                        ( ( $true
                          = ( X15 @ X17 ) )
                        | ( ( X3 @ X16 @ X17 )
                         != $true )
                        | ( $true
                         != ( X15 @ X16 ) ) )
                    & ! [X18: a] :
                        ( ( $true
                         != ( X3 @ X9 @ X18 ) )
                        | ( ( X15 @ X18 )
                          = $true ) ) )
                & ? [X11: a > $o] :
                    ( ( ( X11 @ X10 )
                     != $true )
                    & ! [X12: a] :
                        ( ( ( X0 @ X9 @ X12 )
                         != $true )
                        | ( ( X11 @ X12 )
                          = $true ) )
                    & ! [X14: a,X13: a] :
                        ( ( ( X11 @ X13 )
                          = $true )
                        | ( $true
                         != ( X0 @ X14 @ X13 ) )
                        | ( ( X11 @ X14 )
                         != $true ) ) ) )
              | ( ( X8 @ X9 )
               != $true ) )
          & ! [X19: a] :
              ( ( $true
                = ( X8 @ X19 ) )
              | ( ? [X20: a > $o] :
                    ( ( $true
                     != ( X20 @ X19 ) )
                    & ! [X21: a] :
                        ( ( $true
                         != ( X3 @ X2 @ X21 ) )
                        | ( $true
                          = ( X20 @ X21 ) ) )
                    & ! [X23: a,X22: a] :
                        ( ( $true
                          = ( X20 @ X23 ) )
                        | ( ( X20 @ X22 )
                         != $true )
                        | ( ( X3 @ X22 @ X23 )
                         != $true ) ) )
                & ? [X24: a > $o] :
                    ( ( $true
                     != ( X24 @ X19 ) )
                    & ! [X27: a] :
                        ( ( $true
                          = ( X24 @ X27 ) )
                        | ( ( X0 @ X2 @ X27 )
                         != $true ) )
                    & ! [X26: a,X25: a] :
                        ( ( ( X24 @ X26 )
                          = $true )
                        | ( ( X0 @ X25 @ X26 )
                         != $true )
                        | ( $true
                         != ( X24 @ X25 ) ) ) ) ) ) )
      & ! [X4: a > $o] :
          ( ( $true
            = ( X4 @ X1 ) )
          | ? [X7: a] :
              ( ( ( ( X0 @ X2 @ X7 )
                  = $true )
                | ( $true
                  = ( X3 @ X2 @ X7 ) ) )
              & ( ( X4 @ X7 )
               != $true ) )
          | ? [X6: a,X5: a] :
              ( ( ( X4 @ X6 )
               != $true )
              & ( ( ( X3 @ X5 @ X6 )
                  = $true )
                | ( $true
                  = ( X0 @ X5 @ X6 ) ) )
              & ( ( X4 @ X5 )
                = $true ) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f5,plain,
    ~ ! [X1: a,X0: a > a > $o,X2: a,X3: a > a > $o] :
        ( ! [X4: a > $o] :
            ( ( ! [X7: a] :
                  ( ( ( ( X0 @ X2 @ X7 )
                      = $true )
                    | ( $true
                      = ( X3 @ X2 @ X7 ) ) )
                 => ( ( X4 @ X7 )
                    = $true ) )
              & ! [X6: a,X5: a] :
                  ( ( ( ( ( X3 @ X5 @ X6 )
                        = $true )
                      | ( $true
                        = ( X0 @ X5 @ X6 ) ) )
                    & ( ( X4 @ X5 )
                      = $true ) )
                 => ( ( X4 @ X6 )
                    = $true ) ) )
           => ( $true
              = ( X4 @ X1 ) ) )
       => ! [X8: a > $o] :
            ( ( ! [X9: a,X10: a] :
                  ( ( ( ! [X15: a > $o] :
                          ( ( ! [X16: a,X17: a] :
                                ( ( ( ( X3 @ X16 @ X17 )
                                    = $true )
                                  & ( $true
                                    = ( X15 @ X16 ) ) )
                               => ( $true
                                  = ( X15 @ X17 ) ) )
                            & ! [X18: a] :
                                ( ( $true
                                  = ( X3 @ X9 @ X18 ) )
                               => ( ( X15 @ X18 )
                                  = $true ) ) )
                         => ( ( X15 @ X10 )
                            = $true ) )
                      | ! [X11: a > $o] :
                          ( ( ! [X12: a] :
                                ( ( ( X0 @ X9 @ X12 )
                                  = $true )
                               => ( ( X11 @ X12 )
                                  = $true ) )
                            & ! [X14: a,X13: a] :
                                ( ( ( $true
                                    = ( X0 @ X14 @ X13 ) )
                                  & ( ( X11 @ X14 )
                                    = $true ) )
                               => ( ( X11 @ X13 )
                                  = $true ) ) )
                         => ( ( X11 @ X10 )
                            = $true ) ) )
                    & ( ( X8 @ X9 )
                      = $true ) )
                 => ( ( X8 @ X10 )
                    = $true ) )
              & ! [X19: a] :
                  ( ( ! [X20: a > $o] :
                        ( ( ! [X21: a] :
                              ( ( $true
                                = ( X3 @ X2 @ X21 ) )
                             => ( $true
                                = ( X20 @ X21 ) ) )
                          & ! [X23: a,X22: a] :
                              ( ( ( ( X20 @ X22 )
                                  = $true )
                                & ( ( X3 @ X22 @ X23 )
                                  = $true ) )
                             => ( $true
                                = ( X20 @ X23 ) ) ) )
                       => ( $true
                          = ( X20 @ X19 ) ) )
                    | ! [X24: a > $o] :
                        ( ( ! [X27: a] :
                              ( ( ( X0 @ X2 @ X27 )
                                = $true )
                             => ( $true
                                = ( X24 @ X27 ) ) )
                          & ! [X26: a,X25: a] :
                              ( ( ( ( X0 @ X25 @ X26 )
                                  = $true )
                                & ( $true
                                  = ( X24 @ X25 ) ) )
                             => ( ( X24 @ X26 )
                                = $true ) ) )
                       => ( $true
                          = ( X24 @ X19 ) ) ) )
                 => ( $true
                    = ( X8 @ X19 ) ) ) )
           => ( ( X8 @ X1 )
              = $true ) ) ),
    inference(fool_elimination,[],[f4]) ).

thf(f4,plain,
    ~ ! [X0: a > a > $o,X1: a,X2: a,X3: a > a > $o] :
        ( ! [X4: a > $o] :
            ( ( ! [X5: a,X6: a] :
                  ( ( ( X4 @ X5 )
                    & ( ( X0 @ X5 @ X6 )
                      | ( X3 @ X5 @ X6 ) ) )
                 => ( X4 @ X6 ) )
              & ! [X7: a] :
                  ( ( ( X0 @ X2 @ X7 )
                    | ( X3 @ X2 @ X7 ) )
                 => ( X4 @ X7 ) ) )
           => ( X4 @ X1 ) )
       => ! [X8: a > $o] :
            ( ( ! [X9: a,X10: a] :
                  ( ( ( X8 @ X9 )
                    & ( ! [X11: a > $o] :
                          ( ( ! [X12: a] :
                                ( ( X0 @ X9 @ X12 )
                               => ( X11 @ X12 ) )
                            & ! [X13: a,X14: a] :
                                ( ( ( X11 @ X14 )
                                  & ( X0 @ X14 @ X13 ) )
                               => ( X11 @ X13 ) ) )
                         => ( X11 @ X10 ) )
                      | ! [X15: a > $o] :
                          ( ( ! [X16: a,X17: a] :
                                ( ( ( X15 @ X16 )
                                  & ( X3 @ X16 @ X17 ) )
                               => ( X15 @ X17 ) )
                            & ! [X18: a] :
                                ( ( X3 @ X9 @ X18 )
                               => ( X15 @ X18 ) ) )
                         => ( X15 @ X10 ) ) ) )
                 => ( X8 @ X10 ) )
              & ! [X19: a] :
                  ( ( ! [X20: a > $o] :
                        ( ( ! [X21: a] :
                              ( ( X3 @ X2 @ X21 )
                             => ( X20 @ X21 ) )
                          & ! [X22: a,X23: a] :
                              ( ( ( X20 @ X22 )
                                & ( X3 @ X22 @ X23 ) )
                             => ( X20 @ X23 ) ) )
                       => ( X20 @ X19 ) )
                    | ! [X24: a > $o] :
                        ( ( ! [X25: a,X26: a] :
                              ( ( ( X0 @ X25 @ X26 )
                                & ( X24 @ X25 ) )
                             => ( X24 @ X26 ) )
                          & ! [X27: a] :
                              ( ( X0 @ X2 @ X27 )
                             => ( X24 @ X27 ) ) )
                       => ( X24 @ X19 ) ) )
                 => ( X8 @ X19 ) ) )
           => ( X8 @ X1 ) ) ),
    inference(rectify,[],[f2]) ).

thf(f2,negated_conjecture,
    ~ ! [X1: a > a > $o,X3: a,X2: a,X0: a > a > $o] :
        ( ! [X4: a > $o] :
            ( ( ! [X6: a,X7: a] :
                  ( ( ( X4 @ X6 )
                    & ( ( X1 @ X6 @ X7 )
                      | ( X0 @ X6 @ X7 ) ) )
                 => ( X4 @ X7 ) )
              & ! [X5: a] :
                  ( ( ( X1 @ X2 @ X5 )
                    | ( X0 @ X2 @ X5 ) )
                 => ( X4 @ X5 ) ) )
           => ( X4 @ X3 ) )
       => ! [X4: a > $o] :
            ( ( ! [X6: a,X7: a] :
                  ( ( ( X4 @ X6 )
                    & ( ! [X8: a > $o] :
                          ( ( ! [X5: a] :
                                ( ( X1 @ X6 @ X5 )
                               => ( X8 @ X5 ) )
                            & ! [X11: a,X10: a] :
                                ( ( ( X8 @ X10 )
                                  & ( X1 @ X10 @ X11 ) )
                               => ( X8 @ X11 ) ) )
                         => ( X8 @ X7 ) )
                      | ! [X8: a > $o] :
                          ( ( ! [X10: a,X11: a] :
                                ( ( ( X8 @ X10 )
                                  & ( X0 @ X10 @ X11 ) )
                               => ( X8 @ X11 ) )
                            & ! [X5: a] :
                                ( ( X0 @ X6 @ X5 )
                               => ( X8 @ X5 ) ) )
                         => ( X8 @ X7 ) ) ) )
                 => ( X4 @ X7 ) )
              & ! [X5: a] :
                  ( ( ! [X8: a > $o] :
                        ( ( ! [X9: a] :
                              ( ( X0 @ X2 @ X9 )
                             => ( X8 @ X9 ) )
                          & ! [X6: a,X7: a] :
                              ( ( ( X8 @ X6 )
                                & ( X0 @ X6 @ X7 ) )
                             => ( X8 @ X7 ) ) )
                       => ( X8 @ X5 ) )
                    | ! [X8: a > $o] :
                        ( ( ! [X6: a,X7: a] :
                              ( ( ( X1 @ X6 @ X7 )
                                & ( X8 @ X6 ) )
                             => ( X8 @ X7 ) )
                          & ! [X9: a] :
                              ( ( X1 @ X2 @ X9 )
                             => ( X8 @ X9 ) ) )
                       => ( X8 @ X5 ) ) )
                 => ( X4 @ X5 ) ) )
           => ( X4 @ X3 ) ) ),
    inference(negated_conjecture,[],[f1]) ).

thf(f1,conjecture,
    ! [X1: a > a > $o,X3: a,X2: a,X0: a > a > $o] :
      ( ! [X4: a > $o] :
          ( ( ! [X6: a,X7: a] :
                ( ( ( X4 @ X6 )
                  & ( ( X1 @ X6 @ X7 )
                    | ( X0 @ X6 @ X7 ) ) )
               => ( X4 @ X7 ) )
            & ! [X5: a] :
                ( ( ( X1 @ X2 @ X5 )
                  | ( X0 @ X2 @ X5 ) )
               => ( X4 @ X5 ) ) )
         => ( X4 @ X3 ) )
     => ! [X4: a > $o] :
          ( ( ! [X6: a,X7: a] :
                ( ( ( X4 @ X6 )
                  & ( ! [X8: a > $o] :
                        ( ( ! [X5: a] :
                              ( ( X1 @ X6 @ X5 )
                             => ( X8 @ X5 ) )
                          & ! [X11: a,X10: a] :
                              ( ( ( X8 @ X10 )
                                & ( X1 @ X10 @ X11 ) )
                             => ( X8 @ X11 ) ) )
                       => ( X8 @ X7 ) )
                    | ! [X8: a > $o] :
                        ( ( ! [X10: a,X11: a] :
                              ( ( ( X8 @ X10 )
                                & ( X0 @ X10 @ X11 ) )
                             => ( X8 @ X11 ) )
                          & ! [X5: a] :
                              ( ( X0 @ X6 @ X5 )
                             => ( X8 @ X5 ) ) )
                       => ( X8 @ X7 ) ) ) )
               => ( X4 @ X7 ) )
            & ! [X5: a] :
                ( ( ! [X8: a > $o] :
                      ( ( ! [X9: a] :
                            ( ( X0 @ X2 @ X9 )
                           => ( X8 @ X9 ) )
                        & ! [X6: a,X7: a] :
                            ( ( ( X8 @ X6 )
                              & ( X0 @ X6 @ X7 ) )
                           => ( X8 @ X7 ) ) )
                     => ( X8 @ X5 ) )
                  | ! [X8: a > $o] :
                      ( ( ! [X6: a,X7: a] :
                            ( ( ( X1 @ X6 @ X7 )
                              & ( X8 @ X6 ) )
                           => ( X8 @ X7 ) )
                        & ! [X9: a] :
                            ( ( X1 @ X2 @ X9 )
                           => ( X8 @ X9 ) ) )
                     => ( X8 @ X5 ) ) )
               => ( X4 @ X5 ) ) )
         => ( X4 @ X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM251B_pme) ).

thf(f1197,plain,
    ( ( ( sK7 @ sK1 )
      = $true )
    | ( ( sK7 @ ( sK5 @ sK7 ) )
      = $true )
    | ( ( sK7 @ ( sK5 @ sK7 ) )
      = $false )
    | ~ spl12_17
    | ~ spl12_58 ),
    inference(subsumption_resolution,[],[f1168,f326]) ).

thf(f326,plain,
    ( ( ( sK7 @ ( sK4 @ sK7 ) )
      = $true )
    | ~ spl12_17 ),
    inference(avatar_component_clause,[],[f324]) ).

thf(f1168,plain,
    ( ( ( sK7 @ ( sK5 @ sK7 ) )
      = $true )
    | ( ( sK7 @ ( sK4 @ sK7 ) )
     != $true )
    | ( ( sK7 @ ( sK5 @ sK7 ) )
      = $false )
    | ( ( sK7 @ sK1 )
      = $true )
    | ~ spl12_58 ),
    inference(trivial_inequality_removal,[],[f1167]) ).

thf(f1167,plain,
    ( ( ( sK7 @ ( sK5 @ sK7 ) )
      = $true )
    | ( ( sK7 @ ( sK5 @ sK7 ) )
      = $false )
    | ( ( sK7 @ ( sK4 @ sK7 ) )
     != $true )
    | ( $false = $true )
    | ( ( sK7 @ sK1 )
      = $true )
    | ~ spl12_58 ),
    inference(duplicate_literal_removal,[],[f1161]) ).

thf(f1161,plain,
    ( ( ( sK7 @ ( sK5 @ sK7 ) )
      = $true )
    | ( ( sK7 @ ( sK5 @ sK7 ) )
      = $false )
    | ( ( sK7 @ sK1 )
      = $true )
    | ( ( sK7 @ ( sK4 @ sK7 ) )
     != $true )
    | ( $false = $true )
    | ( ( sK7 @ sK1 )
      = $true )
    | ~ spl12_58 ),
    inference(superposition,[],[f1128,f427]) ).

thf(f427,plain,
    ! [X10: a > $o] :
      ( ( $false
        = ( X10 @ ( sK6 @ X10 ) ) )
      | ( $true
        = ( X10 @ sK1 ) )
      | ( ( X10 @ ( sK5 @ X10 ) )
        = $false ) ),
    inference(not_proxy_clausification,[],[f426]) ).

thf(f426,plain,
    ! [X10: a > $o] :
      ( ( $false
        = ( X10 @ ( sK6 @ X10 ) ) )
      | ( ( ~ ( X10 @ sK1 ) )
        = $false )
      | ( ( X10 @ ( sK5 @ X10 ) )
        = $false ) ),
    inference(not_proxy_clausification,[],[f425]) ).

thf(f425,plain,
    ! [X10: a > $o] :
      ( ( ( ~ ( X10 @ ( sK6 @ X10 ) ) )
        = $true )
      | ( ( X10 @ ( sK5 @ X10 ) )
        = $false )
      | ( ( ~ ( X10 @ sK1 ) )
        = $false ) ),
    inference(not_proxy_clausification,[],[f424]) ).

thf(f424,plain,
    ! [X10: a > $o] :
      ( ( $true
        = ( ~ ( X10 @ ( sK5 @ X10 ) ) ) )
      | ( ( ~ ( X10 @ sK1 ) )
        = $false )
      | ( ( ~ ( X10 @ ( sK6 @ X10 ) ) )
        = $true ) ),
    inference(beta_eta_normalization,[],[f423]) ).

thf(f423,plain,
    ! [X10: a > $o] :
      ( ( ( ~ ( X10 @ ( sK6 @ X10 ) ) )
        = $true )
      | ( ( ~ ( X10
              @ ( sK5
                @ ^ [Y0: a] : ( X10 @ Y0 ) ) ) )
        = $true )
      | ( ( ~ ( X10 @ sK1 ) )
        = $false ) ),
    inference(boolean_simplification,[],[f422]) ).

thf(f422,plain,
    ! [X10: a > $o] :
      ( ( ( ~ ( X10 @ sK1 ) )
        = $false )
      | ( ( ~ ( X10 @ ( sK6 @ X10 ) ) )
        = $true )
      | ( $true
        = ( ~ ( X10
              @ ( sK5
                @ ^ [Y0: a] :
                    ~ ~ ( X10 @ Y0 ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f421]) ).

thf(f421,plain,
    ! [X10: a > $o] :
      ( ( $true
        = ( ~ ( X10
              @ ( sK5
                @ ^ [Y0: a] :
                    ~ ~ ( X10 @ Y0 ) ) ) ) )
      | ( ( ~ ( X10 @ sK1 ) )
        = $false )
      | ( $true
        = ( ~ ( X10
              @ ( sK6
                @ ^ [Y0: a] : ( X10 @ Y0 ) ) ) ) ) ),
    inference(boolean_simplification,[],[f420]) ).

thf(f420,plain,
    ! [X10: a > $o] :
      ( ( ( ~ ( X10
              @ ( sK6
                @ ^ [Y0: a] :
                    ~ ~ ( X10 @ Y0 ) ) ) )
        = $true )
      | ( $true
        = ( ~ ( X10
              @ ( sK5
                @ ^ [Y0: a] :
                    ~ ~ ( X10 @ Y0 ) ) ) ) )
      | ( ( ~ ( X10 @ sK1 ) )
        = $false ) ),
    inference(beta_eta_normalization,[],[f401]) ).

thf(f401,plain,
    ! [X10: a > $o] :
      ( ( $true
        = ( ^ [Y0: a] :
              ~ ( X10 @ Y0 )
          @ ( sK5
            @ ^ [Y0: a] :
                ~ ( ^ [Y1: a] :
                      ~ ( X10 @ Y1 )
                  @ Y0 ) ) ) )
      | ( ( ^ [Y0: a] :
              ~ ( X10 @ Y0 )
          @ sK1 )
        = $false )
      | ( ( ^ [Y0: a] :
              ~ ( X10 @ Y0 )
          @ ( sK6
            @ ^ [Y0: a] :
                ~ ( ^ [Y1: a] :
                      ~ ( X10 @ Y1 )
                  @ Y0 ) ) )
        = $true ) ),
    inference(primitive_instantiation,[],[f94]) ).

thf(f94,plain,
    ! [X7: a > $o] :
      ( ( $true
        = ( X7
          @ ( sK6
            @ ^ [Y0: a] :
                ~ ( X7 @ Y0 ) ) ) )
      | ( $true
        = ( X7
          @ ( sK5
            @ ^ [Y0: a] :
                ~ ( X7 @ Y0 ) ) ) )
      | ( ( X7 @ sK1 )
        = $false ) ),
    inference(not_proxy_clausification,[],[f93]) ).

thf(f93,plain,
    ! [X7: a > $o] :
      ( ( $true
        = ( ~ ( X7 @ sK1 ) ) )
      | ( $true
        = ( X7
          @ ( sK5
            @ ^ [Y0: a] :
                ~ ( X7 @ Y0 ) ) ) )
      | ( $true
        = ( X7
          @ ( sK6
            @ ^ [Y0: a] :
                ~ ( X7 @ Y0 ) ) ) ) ),
    inference(not_proxy_clausification,[],[f92]) ).

thf(f92,plain,
    ! [X7: a > $o] :
      ( ( $true
        = ( X7
          @ ( sK5
            @ ^ [Y0: a] :
                ~ ( X7 @ Y0 ) ) ) )
      | ( ( ~ ( X7
              @ ( sK6
                @ ^ [Y0: a] :
                    ~ ( X7 @ Y0 ) ) ) )
       != $true )
      | ( $true
        = ( ~ ( X7 @ sK1 ) ) ) ),
    inference(not_proxy_clausification,[],[f91]) ).

thf(f91,plain,
    ! [X7: a > $o] :
      ( ( ( ~ ( X7
              @ ( sK5
                @ ^ [Y0: a] :
                    ~ ( X7 @ Y0 ) ) ) )
       != $true )
      | ( ( ~ ( X7
              @ ( sK6
                @ ^ [Y0: a] :
                    ~ ( X7 @ Y0 ) ) ) )
       != $true )
      | ( $true
        = ( ~ ( X7 @ sK1 ) ) ) ),
    inference(beta_eta_normalization,[],[f87]) ).

thf(f87,plain,
    ! [X7: a > $o] :
      ( ( ( ^ [Y0: a] :
              ~ ( X7 @ Y0 )
          @ sK1 )
        = $true )
      | ( $true
       != ( ^ [Y0: a] :
              ~ ( X7 @ Y0 )
          @ ( sK5
            @ ^ [Y0: a] :
                ~ ( X7 @ Y0 ) ) ) )
      | ( $true
       != ( ^ [Y0: a] :
              ~ ( X7 @ Y0 )
          @ ( sK6
            @ ^ [Y0: a] :
                ~ ( X7 @ Y0 ) ) ) ) ),
    inference(primitive_instantiation,[],[f35]) ).

thf(f35,plain,
    ! [X4: a > $o] :
      ( ( $true
       != ( X4 @ ( sK6 @ X4 ) ) )
      | ( ( X4 @ sK1 )
        = $true )
      | ( $true
       != ( X4 @ ( sK5 @ X4 ) ) ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f1128,plain,
    ( ! [X0: a > $o] :
        ( ( $true
          = ( sK7 @ ( sK6 @ X0 ) ) )
        | ( ( sK7 @ ( sK4 @ X0 ) )
         != $true )
        | ( $true
          = ( X0 @ sK1 ) )
        | ( ( sK7 @ ( sK5 @ X0 ) )
          = $true ) )
    | ~ spl12_58 ),
    inference(avatar_component_clause,[],[f1127]) ).

thf(f1196,plain,
    ~ spl12_16,
    inference(avatar_split_clause,[],[f1185,f320]) ).

thf(f1185,plain,
    ( ( sK7 @ ( sK5 @ sK7 ) )
   != $true ),
    inference(subsumption_resolution,[],[f463,f30]) ).

thf(f463,plain,
    ( ( ( sK7 @ sK1 )
      = $true )
    | ( ( sK7 @ ( sK5 @ sK7 ) )
     != $true ) ),
    inference(trivial_inequality_removal,[],[f462]) ).

thf(f462,plain,
    ( ( ( sK7 @ sK1 )
      = $true )
    | ( ( sK7 @ ( sK5 @ sK7 ) )
     != $true )
    | ( $true != $true ) ),
    inference(duplicate_literal_removal,[],[f455]) ).

thf(f455,plain,
    ( ( $true != $true )
    | ( ( sK7 @ ( sK5 @ sK7 ) )
     != $true )
    | ( ( sK7 @ ( sK5 @ sK7 ) )
     != $true )
    | ( ( sK7 @ sK1 )
      = $true )
    | ( ( sK7 @ sK1 )
      = $true ) ),
    inference(superposition,[],[f35,f176]) ).

thf(f176,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( sK7 @ ( sK6 @ X0 ) ) )
      | ( $true
       != ( X0 @ ( sK5 @ X0 ) ) )
      | ( $true
        = ( X0 @ sK1 ) ) ),
    inference(subsumption_resolution,[],[f173,f39]) ).

thf(f39,plain,
    ! [X0: a] :
      ( ( $true
       != ( sK2 @ sK0 @ X0 ) )
      | ( ( sK7 @ X0 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f38]) ).

thf(f38,plain,
    ! [X0: a] :
      ( ( $true != $true )
      | ( ( sK7 @ X0 )
        = $true )
      | ( $true
       != ( sK2 @ sK0 @ X0 ) ) ),
    inference(duplicate_literal_removal,[],[f37]) ).

thf(f37,plain,
    ! [X0: a] :
      ( ( ( sK7 @ X0 )
        = $true )
      | ( $true != $true )
      | ( ( sK7 @ X0 )
        = $true )
      | ( $true
       != ( sK2 @ sK0 @ X0 ) ) ),
    inference(superposition,[],[f24,f26]) ).

thf(f26,plain,
    ! [X9: a,X15: a] :
      ( ( $true
        = ( sK9 @ X9 @ X15 ) )
      | ( $true
        = ( sK7 @ X9 ) )
      | ( ( sK2 @ sK0 @ X15 )
       != $true ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f24,plain,
    ! [X9: a] :
      ( ( ( sK9 @ X9 @ X9 )
       != $true )
      | ( $true
        = ( sK7 @ X9 ) ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f173,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( sK7 @ ( sK6 @ X0 ) ) )
      | ( $true
       != ( X0 @ ( sK5 @ X0 ) ) )
      | ( $true
        = ( sK2 @ sK0 @ ( sK6 @ X0 ) ) )
      | ( $true
        = ( X0 @ sK1 ) ) ),
    inference(trivial_inequality_removal,[],[f169]) ).

thf(f169,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( sK7 @ ( sK6 @ X0 ) ) )
      | ( $true
        = ( X0 @ sK1 ) )
      | ( $true
       != ( X0 @ ( sK5 @ X0 ) ) )
      | ( $true != $true )
      | ( $true
        = ( sK2 @ sK0 @ ( sK6 @ X0 ) ) ) ),
    inference(superposition,[],[f42,f36]) ).

thf(f36,plain,
    ! [X4: a > $o] :
      ( ( $true
        = ( sK3 @ sK0 @ ( sK6 @ X4 ) ) )
      | ( ( X4 @ sK1 )
        = $true )
      | ( ( sK2 @ sK0 @ ( sK6 @ X4 ) )
        = $true )
      | ( $true
       != ( X4 @ ( sK5 @ X4 ) ) ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f42,plain,
    ! [X0: a] :
      ( ( $true
       != ( sK3 @ sK0 @ X0 ) )
      | ( ( sK7 @ X0 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f41]) ).

thf(f41,plain,
    ! [X0: a] :
      ( ( $true != $true )
      | ( $true
       != ( sK3 @ sK0 @ X0 ) )
      | ( ( sK7 @ X0 )
        = $true ) ),
    inference(duplicate_literal_removal,[],[f40]) ).

thf(f40,plain,
    ! [X0: a] :
      ( ( ( sK7 @ X0 )
        = $true )
      | ( ( sK7 @ X0 )
        = $true )
      | ( $true != $true )
      | ( $true
       != ( sK3 @ sK0 @ X0 ) ) ),
    inference(superposition,[],[f29,f28]) ).

thf(f28,plain,
    ! [X11: a,X9: a] :
      ( ( ( sK8 @ X9 @ X11 )
        = $true )
      | ( ( sK3 @ sK0 @ X11 )
       != $true )
      | ( $true
        = ( sK7 @ X9 ) ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f29,plain,
    ! [X9: a] :
      ( ( $true
       != ( sK8 @ X9 @ X9 ) )
      | ( $true
        = ( sK7 @ X9 ) ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f1193,plain,
    ( spl12_16
    | ~ spl12_17
    | spl12_55
    | ~ spl12_58 ),
    inference(avatar_split_clause,[],[f1176,f1127,f905,f324,f320]) ).

thf(f905,plain,
    ( spl12_55
  <=> ( $true
      = ( sK7 @ ( sK6 @ sK7 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_55])]) ).

thf(f1176,plain,
    ( ( ( sK7 @ ( sK5 @ sK7 ) )
      = $true )
    | ~ spl12_17
    | spl12_55
    | ~ spl12_58 ),
    inference(subsumption_resolution,[],[f1175,f30]) ).

thf(f1175,plain,
    ( ( ( sK7 @ sK1 )
      = $true )
    | ( ( sK7 @ ( sK5 @ sK7 ) )
      = $true )
    | ~ spl12_17
    | spl12_55
    | ~ spl12_58 ),
    inference(subsumption_resolution,[],[f1170,f326]) ).

thf(f1170,plain,
    ( ( ( sK7 @ ( sK4 @ sK7 ) )
     != $true )
    | ( ( sK7 @ sK1 )
      = $true )
    | ( ( sK7 @ ( sK5 @ sK7 ) )
      = $true )
    | spl12_55
    | ~ spl12_58 ),
    inference(trivial_inequality_removal,[],[f1162]) ).

thf(f1162,plain,
    ( ( ( sK7 @ ( sK5 @ sK7 ) )
      = $true )
    | ( ( sK7 @ sK1 )
      = $true )
    | ( $true != $true )
    | ( ( sK7 @ ( sK4 @ sK7 ) )
     != $true )
    | spl12_55
    | ~ spl12_58 ),
    inference(superposition,[],[f907,f1128]) ).

thf(f907,plain,
    ( ( $true
     != ( sK7 @ ( sK6 @ sK7 ) ) )
    | spl12_55 ),
    inference(avatar_component_clause,[],[f905]) ).

thf(f1151,plain,
    spl12_58,
    inference(avatar_split_clause,[],[f1150,f1127]) ).

thf(f1150,plain,
    ! [X0: a > $o] :
      ( ( ( sK7 @ ( sK5 @ X0 ) )
        = $true )
      | ( ( sK7 @ ( sK4 @ X0 ) )
       != $true )
      | ( $true
        = ( sK7 @ ( sK6 @ X0 ) ) )
      | ( $true
        = ( X0 @ sK1 ) ) ),
    inference(subsumption_resolution,[],[f1107,f42]) ).

thf(f1107,plain,
    ! [X0: a > $o] :
      ( ( ( sK7 @ ( sK4 @ X0 ) )
       != $true )
      | ( ( sK7 @ ( sK5 @ X0 ) )
        = $true )
      | ( ( sK3 @ sK0 @ ( sK6 @ X0 ) )
        = $true )
      | ( $true
        = ( X0 @ sK1 ) )
      | ( $true
        = ( sK7 @ ( sK6 @ X0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f1092]) ).

thf(f1092,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( sK7 @ ( sK6 @ X0 ) ) )
      | ( $true
        = ( X0 @ sK1 ) )
      | ( ( sK7 @ ( sK4 @ X0 ) )
       != $true )
      | ( ( sK7 @ ( sK5 @ X0 ) )
        = $true )
      | ( $true != $true )
      | ( ( sK3 @ sK0 @ ( sK6 @ X0 ) )
        = $true ) ),
    inference(superposition,[],[f39,f241]) ).

thf(f241,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( sK2 @ sK0 @ ( sK6 @ X0 ) ) )
      | ( ( sK7 @ ( sK5 @ X0 ) )
        = $true )
      | ( ( sK3 @ sK0 @ ( sK6 @ X0 ) )
        = $true )
      | ( ( sK7 @ ( sK4 @ X0 ) )
       != $true )
      | ( $true
        = ( X0 @ sK1 ) ) ),
    inference(subsumption_resolution,[],[f240,f140]) ).

thf(f140,plain,
    ! [X0: a,X1: a] :
      ( ( ( sK3 @ X0 @ X1 )
       != $true )
      | ( ( sK7 @ X0 )
       != $true )
      | ( ( sK7 @ X1 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f139]) ).

thf(f139,plain,
    ! [X0: a,X1: a] :
      ( ( $true != $true )
      | ( ( sK7 @ X0 )
       != $true )
      | ( ( sK7 @ X1 )
        = $true )
      | ( ( sK3 @ X0 @ X1 )
       != $true ) ),
    inference(duplicate_literal_removal,[],[f137]) ).

thf(f137,plain,
    ! [X0: a,X1: a] :
      ( ( ( sK3 @ X0 @ X1 )
       != $true )
      | ( $true != $true )
      | ( ( sK7 @ X0 )
       != $true )
      | ( ( sK7 @ X0 )
       != $true )
      | ( ( sK7 @ X1 )
        = $true )
      | ( ( sK7 @ X1 )
        = $true ) ),
    inference(superposition,[],[f21,f22]) ).

thf(f22,plain,
    ! [X18: a,X19: a,X23: a] :
      ( ( ( sK10 @ X19 @ X18 @ X23 )
        = $true )
      | ( $true
       != ( sK3 @ X19 @ X23 ) )
      | ( ( sK7 @ X18 )
        = $true )
      | ( ( sK7 @ X19 )
       != $true ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f21,plain,
    ! [X18: a,X19: a] :
      ( ( $true
       != ( sK10 @ X19 @ X18 @ X18 ) )
      | ( ( sK7 @ X18 )
        = $true )
      | ( ( sK7 @ X19 )
       != $true ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f240,plain,
    ! [X0: a > $o] :
      ( ( ( sK3 @ sK0 @ ( sK6 @ X0 ) )
        = $true )
      | ( $true
        = ( X0 @ sK1 ) )
      | ( ( sK7 @ ( sK5 @ X0 ) )
        = $true )
      | ( $true
        = ( sK2 @ sK0 @ ( sK6 @ X0 ) ) )
      | ( ( sK3 @ ( sK4 @ X0 ) @ ( sK5 @ X0 ) )
        = $true )
      | ( ( sK7 @ ( sK4 @ X0 ) )
       != $true ) ),
    inference(trivial_inequality_removal,[],[f235]) ).

thf(f235,plain,
    ! [X0: a > $o] :
      ( ( ( sK7 @ ( sK5 @ X0 ) )
        = $true )
      | ( $true != $true )
      | ( $true
        = ( sK2 @ sK0 @ ( sK6 @ X0 ) ) )
      | ( ( sK3 @ ( sK4 @ X0 ) @ ( sK5 @ X0 ) )
        = $true )
      | ( ( sK3 @ sK0 @ ( sK6 @ X0 ) )
        = $true )
      | ( $true
        = ( X0 @ sK1 ) )
      | ( ( sK7 @ ( sK4 @ X0 ) )
       != $true ) ),
    inference(superposition,[],[f133,f34]) ).

thf(f34,plain,
    ! [X4: a > $o] :
      ( ( $true
        = ( sK2 @ ( sK4 @ X4 ) @ ( sK5 @ X4 ) ) )
      | ( ( sK3 @ ( sK4 @ X4 ) @ ( sK5 @ X4 ) )
        = $true )
      | ( $true
        = ( sK3 @ sK0 @ ( sK6 @ X4 ) ) )
      | ( ( X4 @ sK1 )
        = $true )
      | ( ( sK2 @ sK0 @ ( sK6 @ X4 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f133,plain,
    ! [X0: a,X1: a] :
      ( ( $true
       != ( sK2 @ X0 @ X1 ) )
      | ( ( sK7 @ X0 )
       != $true )
      | ( ( sK7 @ X1 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f132]) ).

thf(f132,plain,
    ! [X0: a,X1: a] :
      ( ( ( sK7 @ X1 )
        = $true )
      | ( ( sK7 @ X0 )
       != $true )
      | ( $true
       != ( sK2 @ X0 @ X1 ) )
      | ( $true != $true ) ),
    inference(duplicate_literal_removal,[],[f130]) ).

thf(f130,plain,
    ! [X0: a,X1: a] :
      ( ( $true != $true )
      | ( ( sK7 @ X0 )
       != $true )
      | ( ( sK7 @ X0 )
       != $true )
      | ( ( sK7 @ X1 )
        = $true )
      | ( ( sK7 @ X1 )
        = $true )
      | ( $true
       != ( sK2 @ X0 @ X1 ) ) ),
    inference(superposition,[],[f19,f20]) ).

thf(f20,plain,
    ! [X18: a,X19: a,X25: a] :
      ( ( ( sK11 @ X19 @ X18 @ X25 )
        = $true )
      | ( ( sK7 @ X18 )
        = $true )
      | ( ( sK7 @ X19 )
       != $true )
      | ( ( sK2 @ X19 @ X25 )
       != $true ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f19,plain,
    ! [X18: a,X19: a] :
      ( ( ( sK11 @ X19 @ X18 @ X18 )
       != $true )
      | ( ( sK7 @ X19 )
       != $true )
      | ( ( sK7 @ X18 )
        = $true ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f950,plain,
    spl12_17,
    inference(avatar_contradiction_clause,[],[f949]) ).

thf(f949,plain,
    ( $false
    | spl12_17 ),
    inference(subsumption_resolution,[],[f948,f30]) ).

thf(f948,plain,
    ( ( ( sK7 @ sK1 )
      = $true )
    | spl12_17 ),
    inference(subsumption_resolution,[],[f943,f325]) ).

thf(f325,plain,
    ( ( ( sK7 @ ( sK4 @ sK7 ) )
     != $true )
    | spl12_17 ),
    inference(avatar_component_clause,[],[f324]) ).

thf(f943,plain,
    ( ( ( sK7 @ ( sK4 @ sK7 ) )
      = $true )
    | ( ( sK7 @ sK1 )
      = $true )
    | spl12_17 ),
    inference(trivial_inequality_removal,[],[f937]) ).

thf(f937,plain,
    ( ( ( sK7 @ ( sK4 @ sK7 ) )
      = $true )
    | ( ( sK7 @ sK1 )
      = $true )
    | ( $false = $true )
    | spl12_17 ),
    inference(superposition,[],[f919,f166]) ).

thf(f166,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( sK7 @ ( sK6 @ X0 ) ) )
      | ( $true
        = ( X0 @ sK1 ) )
      | ( ( X0 @ ( sK4 @ X0 ) )
        = $true ) ),
    inference(subsumption_resolution,[],[f150,f39]) ).

thf(f150,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( sK7 @ ( sK6 @ X0 ) ) )
      | ( $true
        = ( X0 @ sK1 ) )
      | ( $true
        = ( sK2 @ sK0 @ ( sK6 @ X0 ) ) )
      | ( ( X0 @ ( sK4 @ X0 ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f145]) ).

thf(f145,plain,
    ! [X0: a > $o] :
      ( ( ( X0 @ ( sK4 @ X0 ) )
        = $true )
      | ( $true
        = ( sK2 @ sK0 @ ( sK6 @ X0 ) ) )
      | ( $true
        = ( sK7 @ ( sK6 @ X0 ) ) )
      | ( $true
        = ( X0 @ sK1 ) )
      | ( $true != $true ) ),
    inference(superposition,[],[f42,f32]) ).

thf(f32,plain,
    ! [X4: a > $o] :
      ( ( $true
        = ( sK3 @ sK0 @ ( sK6 @ X4 ) ) )
      | ( ( X4 @ ( sK4 @ X4 ) )
        = $true )
      | ( ( X4 @ sK1 )
        = $true )
      | ( ( sK2 @ sK0 @ ( sK6 @ X4 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f919,plain,
    ( ( $false
      = ( sK7 @ ( sK6 @ sK7 ) ) )
    | spl12_17 ),
    inference(subsumption_resolution,[],[f915,f30]) ).

thf(f915,plain,
    ( ( $false
      = ( sK7 @ ( sK6 @ sK7 ) ) )
    | ( ( sK7 @ sK1 )
      = $true )
    | spl12_17 ),
    inference(trivial_inequality_removal,[],[f913]) ).

thf(f913,plain,
    ( ( $true != $true )
    | ( ( sK7 @ sK1 )
      = $true )
    | ( $false
      = ( sK7 @ ( sK6 @ sK7 ) ) )
    | spl12_17 ),
    inference(superposition,[],[f325,f362]) ).

thf(f362,plain,
    ! [X10: a > $o] :
      ( ( $true
        = ( X10 @ ( sK4 @ X10 ) ) )
      | ( $true
        = ( X10 @ sK1 ) )
      | ( $false
        = ( X10 @ ( sK6 @ X10 ) ) ) ),
    inference(not_proxy_clausification,[],[f361]) ).

thf(f361,plain,
    ! [X10: a > $o] :
      ( ( $true
        = ( X10 @ sK1 ) )
      | ( $false
        = ( X10 @ ( sK6 @ X10 ) ) )
      | ( ( ~ ( X10 @ ( sK4 @ X10 ) ) )
        = $false ) ),
    inference(not_proxy_clausification,[],[f360]) ).

thf(f360,plain,
    ! [X10: a > $o] :
      ( ( $false
        = ( X10 @ ( sK6 @ X10 ) ) )
      | ( ( ~ ( X10 @ sK1 ) )
        = $false )
      | ( ( ~ ( X10 @ ( sK4 @ X10 ) ) )
        = $false ) ),
    inference(not_proxy_clausification,[],[f359]) ).

thf(f359,plain,
    ! [X10: a > $o] :
      ( ( ( ~ ( X10 @ ( sK6 @ X10 ) ) )
        = $true )
      | ( ( ~ ( X10 @ ( sK4 @ X10 ) ) )
        = $false )
      | ( ( ~ ( X10 @ sK1 ) )
        = $false ) ),
    inference(beta_eta_normalization,[],[f358]) ).

thf(f358,plain,
    ! [X10: a > $o] :
      ( ( ( ~ ( X10 @ sK1 ) )
        = $false )
      | ( $true
        = ( ~ ( X10
              @ ( sK6
                @ ^ [Y0: a] : ( X10 @ Y0 ) ) ) ) )
      | ( ( ~ ( X10 @ ( sK4 @ X10 ) ) )
        = $false ) ),
    inference(boolean_simplification,[],[f357]) ).

thf(f357,plain,
    ! [X10: a > $o] :
      ( ( ( ~ ( X10 @ sK1 ) )
        = $false )
      | ( ( ~ ( X10 @ ( sK4 @ X10 ) ) )
        = $false )
      | ( ( ~ ( X10
              @ ( sK6
                @ ^ [Y0: a] :
                    ~ ~ ( X10 @ Y0 ) ) ) )
        = $true ) ),
    inference(beta_eta_normalization,[],[f356]) ).

thf(f356,plain,
    ! [X10: a > $o] :
      ( ( ( ~ ( X10
              @ ( sK6
                @ ^ [Y0: a] :
                    ~ ~ ( X10 @ Y0 ) ) ) )
        = $true )
      | ( ( ~ ( X10 @ sK1 ) )
        = $false )
      | ( ( ~ ( X10
              @ ( sK4
                @ ^ [Y0: a] : ( X10 @ Y0 ) ) ) )
        = $false ) ),
    inference(boolean_simplification,[],[f355]) ).

thf(f355,plain,
    ! [X10: a > $o] :
      ( ( ( ~ ( X10 @ sK1 ) )
        = $false )
      | ( $false
        = ( ~ ( X10
              @ ( sK4
                @ ^ [Y0: a] :
                    ~ ~ ( X10 @ Y0 ) ) ) ) )
      | ( ( ~ ( X10
              @ ( sK6
                @ ^ [Y0: a] :
                    ~ ~ ( X10 @ Y0 ) ) ) )
        = $true ) ),
    inference(beta_eta_normalization,[],[f330]) ).

thf(f330,plain,
    ! [X10: a > $o] :
      ( ( ( ^ [Y0: a] :
              ~ ( X10 @ Y0 )
          @ sK1 )
        = $false )
      | ( ( ^ [Y0: a] :
              ~ ( X10 @ Y0 )
          @ ( sK6
            @ ^ [Y0: a] :
                ~ ( ^ [Y1: a] :
                      ~ ( X10 @ Y1 )
                  @ Y0 ) ) )
        = $true )
      | ( $false
        = ( ^ [Y0: a] :
              ~ ( X10 @ Y0 )
          @ ( sK4
            @ ^ [Y0: a] :
                ~ ( ^ [Y1: a] :
                      ~ ( X10 @ Y1 )
                  @ Y0 ) ) ) ) ),
    inference(primitive_instantiation,[],[f53]) ).

thf(f53,plain,
    ! [X7: a > $o] :
      ( ( $true
        = ( X7
          @ ( sK6
            @ ^ [Y0: a] :
                ~ ( X7 @ Y0 ) ) ) )
      | ( $false
        = ( X7
          @ ( sK4
            @ ^ [Y0: a] :
                ~ ( X7 @ Y0 ) ) ) )
      | ( ( X7 @ sK1 )
        = $false ) ),
    inference(not_proxy_clausification,[],[f52]) ).

thf(f52,plain,
    ! [X7: a > $o] :
      ( ( $false
        = ( X7
          @ ( sK4
            @ ^ [Y0: a] :
                ~ ( X7 @ Y0 ) ) ) )
      | ( $true
        = ( ~ ( X7 @ sK1 ) ) )
      | ( $true
        = ( X7
          @ ( sK6
            @ ^ [Y0: a] :
                ~ ( X7 @ Y0 ) ) ) ) ),
    inference(not_proxy_clausification,[],[f51]) ).

thf(f51,plain,
    ! [X7: a > $o] :
      ( ( ( ~ ( X7
              @ ( sK6
                @ ^ [Y0: a] :
                    ~ ( X7 @ Y0 ) ) ) )
       != $true )
      | ( $true
        = ( ~ ( X7 @ sK1 ) ) )
      | ( $false
        = ( X7
          @ ( sK4
            @ ^ [Y0: a] :
                ~ ( X7 @ Y0 ) ) ) ) ),
    inference(not_proxy_clausification,[],[f50]) ).

thf(f50,plain,
    ! [X7: a > $o] :
      ( ( $true
        = ( ~ ( X7
              @ ( sK4
                @ ^ [Y0: a] :
                    ~ ( X7 @ Y0 ) ) ) ) )
      | ( $true
        = ( ~ ( X7 @ sK1 ) ) )
      | ( ( ~ ( X7
              @ ( sK6
                @ ^ [Y0: a] :
                    ~ ( X7 @ Y0 ) ) ) )
       != $true ) ),
    inference(beta_eta_normalization,[],[f45]) ).

thf(f45,plain,
    ! [X7: a > $o] :
      ( ( ( ^ [Y0: a] :
              ~ ( X7 @ Y0 )
          @ ( sK4
            @ ^ [Y0: a] :
                ~ ( X7 @ Y0 ) ) )
        = $true )
      | ( $true
       != ( ^ [Y0: a] :
              ~ ( X7 @ Y0 )
          @ ( sK6
            @ ^ [Y0: a] :
                ~ ( X7 @ Y0 ) ) ) )
      | ( ( ^ [Y0: a] :
              ~ ( X7 @ Y0 )
          @ sK1 )
        = $true ) ),
    inference(primitive_instantiation,[],[f31]) ).

thf(f31,plain,
    ! [X4: a > $o] :
      ( ( ( X4 @ ( sK4 @ X4 ) )
        = $true )
      | ( ( X4 @ sK1 )
        = $true )
      | ( $true
       != ( X4 @ ( sK6 @ X4 ) ) ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f912,plain,
    ( ~ spl12_55
    | ~ spl12_17
    | ~ spl12_46 ),
    inference(avatar_split_clause,[],[f911,f770,f324,f905]) ).

thf(f911,plain,
    ( ( ( sK7 @ ( sK4 @ sK7 ) )
     != $true )
    | ( $true
     != ( sK7 @ ( sK6 @ sK7 ) ) )
    | ~ spl12_46 ),
    inference(subsumption_resolution,[],[f894,f30]) ).

thf(f894,plain,
    ( ( $true
     != ( sK7 @ ( sK6 @ sK7 ) ) )
    | ( ( sK7 @ sK1 )
      = $true )
    | ( ( sK7 @ ( sK4 @ sK7 ) )
     != $true )
    | ~ spl12_46 ),
    inference(trivial_inequality_removal,[],[f892]) ).

thf(f892,plain,
    ( ( $true
     != ( sK7 @ ( sK6 @ sK7 ) ) )
    | ( $false = $true )
    | ( ( sK7 @ ( sK4 @ sK7 ) )
     != $true )
    | ( ( sK7 @ sK1 )
      = $true )
    | ~ spl12_46 ),
    inference(superposition,[],[f772,f221]) ).

thf(f221,plain,
    ! [X0: a > $o] :
      ( ( ( sK7 @ ( sK5 @ X0 ) )
        = $true )
      | ( $true
       != ( X0 @ ( sK6 @ X0 ) ) )
      | ( ( sK7 @ ( sK4 @ X0 ) )
       != $true )
      | ( $true
        = ( X0 @ sK1 ) ) ),
    inference(subsumption_resolution,[],[f220,f140]) ).

thf(f220,plain,
    ! [X0: a > $o] :
      ( ( ( sK7 @ ( sK5 @ X0 ) )
        = $true )
      | ( $true
       != ( X0 @ ( sK6 @ X0 ) ) )
      | ( ( sK3 @ ( sK4 @ X0 ) @ ( sK5 @ X0 ) )
        = $true )
      | ( ( sK7 @ ( sK4 @ X0 ) )
       != $true )
      | ( $true
        = ( X0 @ sK1 ) ) ),
    inference(trivial_inequality_removal,[],[f213]) ).

thf(f213,plain,
    ! [X0: a > $o] :
      ( ( $true
        = ( X0 @ sK1 ) )
      | ( ( sK3 @ ( sK4 @ X0 ) @ ( sK5 @ X0 ) )
        = $true )
      | ( $true != $true )
      | ( $true
       != ( X0 @ ( sK6 @ X0 ) ) )
      | ( ( sK7 @ ( sK5 @ X0 ) )
        = $true )
      | ( ( sK7 @ ( sK4 @ X0 ) )
       != $true ) ),
    inference(superposition,[],[f133,f33]) ).

thf(f33,plain,
    ! [X4: a > $o] :
      ( ( $true
        = ( sK2 @ ( sK4 @ X4 ) @ ( sK5 @ X4 ) ) )
      | ( ( X4 @ sK1 )
        = $true )
      | ( ( sK3 @ ( sK4 @ X4 ) @ ( sK5 @ X4 ) )
        = $true )
      | ( $true
       != ( X4 @ ( sK6 @ X4 ) ) ) ),
    inference(cnf_transformation,[],[f17]) ).

thf(f772,plain,
    ( ( ( sK7 @ ( sK5 @ sK7 ) )
      = $false )
    | ~ spl12_46 ),
    inference(avatar_component_clause,[],[f770]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SEV149^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12  % 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
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun May 19 19:07:22 EDT 2024
% 0.18/0.33  % CPUTime    : 
% 0.18/0.33  This is a TH0_THM_NEQ_NAR problem
% 0.18/0.33  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
% 0.18/0.35  % (1664)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)
% 0.18/0.35  % (1666)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.35  % (1663)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.18/0.35  % (1668)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)
% 0.18/0.35  % (1665)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)
% 0.18/0.35  % (1667)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)
% 0.18/0.35  % (1669)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.18/0.35  % (1670)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)
% 0.18/0.35  % (1666)Instruction limit reached!
% 0.18/0.35  % (1666)------------------------------
% 0.18/0.35  % (1666)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35  % (1666)Termination reason: Unknown
% 0.18/0.35  % (1666)Termination phase: Preprocessing 3
% 0.18/0.35  % (1667)Instruction limit reached!
% 0.18/0.35  % (1667)------------------------------
% 0.18/0.35  % (1667)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35  % (1667)Termination reason: Unknown
% 0.18/0.35  % (1667)Termination phase: Property scanning
% 0.18/0.35  
% 0.18/0.35  % (1667)Memory used [KB]: 1023
% 0.18/0.35  % (1667)Time elapsed: 0.003 s
% 0.18/0.35  % (1667)Instructions burned: 3 (million)
% 0.18/0.35  % (1667)------------------------------
% 0.18/0.35  % (1667)------------------------------
% 0.18/0.35  
% 0.18/0.35  % (1666)Memory used [KB]: 1023
% 0.18/0.35  % (1666)Time elapsed: 0.003 s
% 0.18/0.35  % (1666)Instructions burned: 3 (million)
% 0.18/0.35  % (1666)------------------------------
% 0.18/0.35  % (1666)------------------------------
% 0.18/0.35  % (1670)Instruction limit reached!
% 0.18/0.35  % (1670)------------------------------
% 0.18/0.35  % (1670)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35  % (1670)Termination reason: Unknown
% 0.18/0.35  % (1670)Termination phase: Property scanning
% 0.18/0.35  
% 0.18/0.35  % (1670)Memory used [KB]: 1023
% 0.18/0.35  % (1670)Time elapsed: 0.003 s
% 0.18/0.35  % (1670)Instructions burned: 4 (million)
% 0.18/0.35  % (1670)------------------------------
% 0.18/0.35  % (1670)------------------------------
% 0.18/0.35  % (1664)Instruction limit reached!
% 0.18/0.35  % (1664)------------------------------
% 0.18/0.35  % (1664)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35  % (1664)Termination reason: Unknown
% 0.18/0.35  % (1664)Termination phase: Saturation
% 0.18/0.35  
% 0.18/0.35  % (1664)Memory used [KB]: 1023
% 0.18/0.35  % (1664)Time elapsed: 0.004 s
% 0.18/0.35  % (1664)Instructions burned: 4 (million)
% 0.18/0.35  % (1664)------------------------------
% 0.18/0.35  % (1664)------------------------------
% 0.18/0.36  % (1669)Instruction limit reached!
% 0.18/0.36  % (1669)------------------------------
% 0.18/0.36  % (1669)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.36  % (1669)Termination reason: Unknown
% 0.18/0.36  % (1669)Termination phase: Saturation
% 0.18/0.36  
% 0.18/0.36  % (1669)Memory used [KB]: 5628
% 0.18/0.36  % (1669)Time elapsed: 0.012 s
% 0.18/0.36  % (1669)Instructions burned: 18 (million)
% 0.18/0.36  % (1669)------------------------------
% 0.18/0.36  % (1669)------------------------------
% 0.18/0.36  % (1672)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)
% 0.18/0.36  % (1671)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)
% 0.18/0.36  % (1673)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)
% 0.18/0.36  % (1674)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)
% 0.18/0.36  % (1665)Instruction limit reached!
% 0.18/0.36  % (1665)------------------------------
% 0.18/0.36  % (1665)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.36  % (1665)Termination reason: Unknown
% 0.18/0.36  % (1665)Termination phase: Saturation
% 0.18/0.36  
% 0.18/0.36  % (1665)Memory used [KB]: 5756
% 0.18/0.36  % (1665)Time elapsed: 0.017 s
% 0.18/0.36  % (1665)Instructions burned: 27 (million)
% 0.18/0.36  % (1665)------------------------------
% 0.18/0.36  % (1665)------------------------------
% 0.18/0.36  % (1673)Instruction limit reached!
% 0.18/0.36  % (1673)------------------------------
% 0.18/0.36  % (1673)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.36  % (1673)Termination reason: Unknown
% 0.18/0.36  % (1673)Termination phase: Saturation
% 0.18/0.36  
% 0.18/0.36  % (1673)Memory used [KB]: 1023
% 0.18/0.36  % (1673)Time elapsed: 0.003 s
% 0.18/0.36  % (1673)Instructions burned: 4 (million)
% 0.18/0.36  % (1673)------------------------------
% 0.18/0.36  % (1673)------------------------------
% 0.18/0.37  % (1672)Instruction limit reached!
% 0.18/0.37  % (1672)------------------------------
% 0.18/0.37  % (1672)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.37  % (1672)Termination reason: Unknown
% 0.18/0.37  % (1672)Termination phase: Saturation
% 0.18/0.37  
% 0.18/0.37  % (1672)Memory used [KB]: 5628
% 0.18/0.37  % (1672)Time elapsed: 0.010 s
% 0.18/0.37  % (1672)Instructions burned: 16 (million)
% 0.18/0.37  % (1672)------------------------------
% 0.18/0.37  % (1672)------------------------------
% 0.18/0.37  % (1675)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.37  % (1675)Instruction limit reached!
% 0.18/0.37  % (1675)------------------------------
% 0.18/0.37  % (1675)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.37  % (1675)Termination reason: Unknown
% 0.18/0.37  % (1675)Termination phase: Saturation
% 0.18/0.37  
% 0.18/0.37  % (1676)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.37  % (1675)Memory used [KB]: 1023
% 0.18/0.37  % (1675)Time elapsed: 0.006 s
% 0.18/0.37  % (1675)Instructions burned: 8 (million)
% 0.18/0.37  % (1675)------------------------------
% 0.18/0.37  % (1675)------------------------------
% 0.18/0.38  % (1677)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)
% 0.18/0.38  % (1671)Instruction limit reached!
% 0.18/0.38  % (1671)------------------------------
% 0.18/0.38  % (1671)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38  % (1671)Termination reason: Unknown
% 0.18/0.38  % (1671)Termination phase: Saturation
% 0.18/0.38  % (1677)Instruction limit reached!
% 0.18/0.38  % (1677)------------------------------
% 0.18/0.38  % (1677)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38  % (1677)Termination reason: Unknown
% 0.18/0.38  % (1677)Termination phase: Twee Goal Transformation
% 0.18/0.38  
% 0.18/0.38  % (1677)Memory used [KB]: 1023
% 0.18/0.38  % (1677)Time elapsed: 0.003 s
% 0.18/0.38  % (1677)Instructions burned: 4 (million)
% 0.18/0.38  % (1677)------------------------------
% 0.18/0.38  % (1677)------------------------------
% 0.18/0.38  
% 0.18/0.38  % (1671)Memory used [KB]: 5628
% 0.18/0.38  % (1671)Time elapsed: 0.018 s
% 0.18/0.38  % (1671)Instructions burned: 37 (million)
% 0.18/0.38  % (1671)------------------------------
% 0.18/0.38  % (1671)------------------------------
% 0.18/0.38  % (1678)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)
% 0.18/0.38  % (1676)Instruction limit reached!
% 0.18/0.38  % (1676)------------------------------
% 0.18/0.38  % (1676)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38  % (1676)Termination reason: Unknown
% 0.18/0.38  % (1676)Termination phase: Saturation
% 0.18/0.38  
% 0.18/0.38  % (1676)Memory used [KB]: 5628
% 0.18/0.38  % (1676)Time elapsed: 0.010 s
% 0.18/0.38  % (1676)Instructions burned: 17 (million)
% 0.18/0.38  % (1676)------------------------------
% 0.18/0.38  % (1676)------------------------------
% 0.18/0.38  % (1678)Instruction limit reached!
% 0.18/0.38  % (1678)------------------------------
% 0.18/0.38  % (1678)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.38  % (1678)Termination reason: Unknown
% 0.18/0.38  % (1678)Termination phase: Preprocessing 3
% 0.18/0.38  
% 0.18/0.38  % (1678)Memory used [KB]: 1023
% 0.18/0.38  % (1678)Time elapsed: 0.003 s
% 0.18/0.38  % (1678)Instructions burned: 3 (million)
% 0.18/0.38  % (1678)------------------------------
% 0.18/0.38  % (1678)------------------------------
% 0.18/0.39  % (1679)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)
% 0.18/0.39  % (1680)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)
% 0.18/0.39  % (1681)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.39  % (1679)Instruction limit reached!
% 0.18/0.39  % (1679)------------------------------
% 0.18/0.39  % (1679)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.39  % (1679)Termination reason: Unknown
% 0.18/0.39  % (1679)Termination phase: Saturation
% 0.18/0.39  
% 0.18/0.39  % (1679)Memory used [KB]: 5628
% 0.18/0.39  % (1679)Time elapsed: 0.005 s
% 0.18/0.39  % (1679)Instructions burned: 7 (million)
% 0.18/0.39  % (1679)------------------------------
% 0.18/0.39  % (1679)------------------------------
% 0.18/0.39  % (1680)Instruction limit reached!
% 0.18/0.39  % (1680)------------------------------
% 0.18/0.39  % (1680)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.39  % (1680)Termination reason: Unknown
% 0.18/0.39  % (1680)Termination phase: Property scanning
% 0.18/0.39  
% 0.18/0.39  % (1680)Memory used [KB]: 1023
% 0.18/0.39  % (1680)Time elapsed: 0.003 s
% 0.18/0.39  % (1680)Instructions burned: 4 (million)
% 0.18/0.39  % (1680)------------------------------
% 0.18/0.39  % (1680)------------------------------
% 0.18/0.39  % (1681)Instruction limit reached!
% 0.18/0.39  % (1681)------------------------------
% 0.18/0.39  % (1681)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.39  % (1681)Termination reason: Unknown
% 0.18/0.39  % (1681)Termination phase: Property scanning
% 0.18/0.39  
% 0.18/0.39  % (1681)Memory used [KB]: 1023
% 0.18/0.39  % (1681)Time elapsed: 0.003 s
% 0.18/0.39  % (1681)Instructions burned: 4 (million)
% 0.18/0.39  % (1681)------------------------------
% 0.18/0.39  % (1681)------------------------------
% 0.18/0.40  % (1682)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)
% 0.18/0.40  % (1683)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.18/0.40  % (1684)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.40  % (1685)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)
% 0.18/0.40  % (1686)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)
% 0.18/0.41  % (1682)Instruction limit reached!
% 0.18/0.41  % (1682)------------------------------
% 0.18/0.41  % (1682)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.41  % (1682)Termination reason: Unknown
% 0.18/0.41  % (1682)Termination phase: Saturation
% 0.18/0.41  
% 0.18/0.41  % (1682)Memory used [KB]: 5628
% 0.18/0.41  % (1682)Time elapsed: 0.011 s
% 0.18/0.41  % (1682)Instructions burned: 18 (million)
% 0.18/0.41  % (1682)------------------------------
% 0.18/0.41  % (1682)------------------------------
% 0.18/0.41  % (1684)Instruction limit reached!
% 0.18/0.41  % (1684)------------------------------
% 0.18/0.41  % (1684)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.41  % (1684)Termination reason: Unknown
% 0.18/0.41  % (1684)Termination phase: Saturation
% 0.18/0.41  
% 0.18/0.41  % (1684)Memory used [KB]: 5500
% 0.18/0.41  % (1684)Time elapsed: 0.005 s
% 0.18/0.41  % (1684)Instructions burned: 6 (million)
% 0.18/0.41  % (1684)------------------------------
% 0.18/0.41  % (1684)------------------------------
% 0.18/0.42  % (1686)Instruction limit reached!
% 0.18/0.42  % (1686)------------------------------
% 0.18/0.42  % (1686)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.42  % (1686)Termination reason: Unknown
% 0.18/0.42  % (1686)Termination phase: Saturation
% 0.18/0.42  
% 0.18/0.42  % (1686)Memory used [KB]: 5756
% 0.18/0.42  % (1686)Time elapsed: 0.035 s
% 0.18/0.42  % (1686)Instructions burned: 22 (million)
% 0.18/0.42  % (1686)------------------------------
% 0.18/0.42  % (1686)------------------------------
% 0.18/0.42  % (1687)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.18/0.42  % (1687)Instruction limit reached!
% 0.18/0.42  % (1687)------------------------------
% 0.18/0.42  % (1687)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.42  % (1687)Termination reason: Unknown
% 0.18/0.42  % (1687)Termination phase: Saturation
% 0.18/0.42  
% 0.18/0.42  % (1687)Memory used [KB]: 5500
% 0.18/0.42  % (1687)Time elapsed: 0.004 s
% 0.18/0.42  % (1687)Instructions burned: 5 (million)
% 0.18/0.42  % (1687)------------------------------
% 0.18/0.42  % (1687)------------------------------
% 0.18/0.43  % (1688)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)
% 0.18/0.43  % (1689)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.18/0.43  % (1688)Instruction limit reached!
% 0.18/0.43  % (1688)------------------------------
% 0.18/0.43  % (1688)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.43  % (1688)Termination reason: Unknown
% 0.18/0.43  % (1688)Termination phase: Saturation
% 0.18/0.43  
% 0.18/0.43  % (1688)Memory used [KB]: 5500
% 0.18/0.43  % (1688)Time elapsed: 0.005 s
% 0.18/0.43  % (1688)Instructions burned: 6 (million)
% 0.18/0.43  % (1688)------------------------------
% 0.18/0.43  % (1688)------------------------------
% 0.18/0.43  % (1663)Instruction limit reached!
% 0.18/0.43  % (1663)------------------------------
% 0.18/0.43  % (1663)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.43  % (1663)Termination reason: Unknown
% 0.18/0.43  % (1663)Termination phase: Saturation
% 0.18/0.43  
% 0.18/0.43  % (1663)Memory used [KB]: 6652
% 0.18/0.43  % (1663)Time elapsed: 0.087 s
% 0.18/0.43  % (1663)Instructions burned: 183 (million)
% 0.18/0.43  % (1663)------------------------------
% 0.18/0.43  % (1663)------------------------------
% 0.18/0.44  % (1690)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)
% 0.18/0.44  % (1691)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)
% 0.18/0.44  % (1692)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)
% 0.18/0.45  % (1691)Instruction limit reached!
% 0.18/0.45  % (1691)------------------------------
% 0.18/0.45  % (1691)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.45  % (1691)Termination reason: Unknown
% 0.18/0.45  % (1691)Termination phase: Saturation
% 0.18/0.45  
% 0.18/0.45  % (1691)Memory used [KB]: 5500
% 0.18/0.45  % (1691)Time elapsed: 0.010 s
% 0.18/0.45  % (1691)Instructions burned: 19 (million)
% 0.18/0.45  % (1691)------------------------------
% 0.18/0.45  % (1691)------------------------------
% 0.18/0.46  % (1668)First to succeed.
% 0.18/0.47  % (1693)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.18/0.47  % (1668)Refutation found. Thanks to Tanya!
% 0.18/0.47  % SZS status Theorem for theBenchmark
% 0.18/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47  % (1668)------------------------------
% 0.18/0.47  % (1668)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.47  % (1668)Termination reason: Refutation
% 0.18/0.47  
% 0.18/0.47  % (1668)Memory used [KB]: 6268
% 0.18/0.47  % (1668)Time elapsed: 0.122 s
% 0.18/0.47  % (1668)Instructions burned: 213 (million)
% 0.18/0.47  % (1668)------------------------------
% 0.18/0.47  % (1668)------------------------------
% 0.18/0.47  % (1662)Success in time 0.135 s
% 0.18/0.47  % Vampire---4.8 exiting
%------------------------------------------------------------------------------