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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : SEV128^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n016.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 : Wed Feb 25 09:40:21 AM UTC 2026

% Result   : Theorem 36.40s 6.57s
% Output   : Refutation 36.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  152 (   5 unt;   0 typ;   6 def)
%            Number of atoms       : 1995 ( 513 equ;   0 cnn)
%            Maximal formula atoms :   24 (  13 avg)
%            Number of connectives : 3495 ( 252   ~; 408   |; 179   &;2330   @)
%                                         (   6 <=>; 148  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  413 ( 413   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   70 (  66 usr;  11 con; 0-4 aty)
%                                         ( 172  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  622 ( 222   ^; 312   !;  88   ?; 622   :)

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

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

thf(func_def_12,type,
    sP0: ( ( a > a > $o ) > $o ) > ( a > a > $o ) > $o ).

thf(func_def_13,type,
    sK1: ( ( a > a > $o ) > $o ) > ( a > a > $o ) > a ).

thf(func_def_14,type,
    sK2: ( ( a > a > $o ) > $o ) > ( a > a > $o ) > a ).

thf(func_def_15,type,
    sK3: ( ( a > a > $o ) > $o ) > ( a > a > $o ) > a > a > $o ).

thf(func_def_16,type,
    sK4: ( ( a > a > $o ) > $o ) > ( a > a > $o ) > a > a > $o ).

thf(func_def_17,type,
    sK5: a ).

thf(func_def_18,type,
    sK6: ( a > a > $o ) > $o ).

thf(func_def_19,type,
    sK7: a ).

thf(func_def_20,type,
    sK8: ( a > a > $o ) > a ).

thf(func_def_21,type,
    sK9: ( a > a > $o ) > a ).

thf(func_def_22,type,
    sK10: ( a > a > $o ) > a ).

thf(func_def_23,type,
    sK11: a > a > $o ).

thf(func_def_26,type,
    ph13: 
      !>[X0: $tType] : X0 ).

thf(func_def_28,type,
    sK14: a > a > a > a > $o ).

thf(func_def_29,type,
    sK15: ( a > a > $o ) > a ).

thf(func_def_30,type,
    sK16: ( a > a > $o ) > a ).

thf(func_def_31,type,
    sK17: ( a > a > $o ) > a ).

thf(func_def_32,type,
    sK18: ( a > a > $o ) > a ).

thf(func_def_33,type,
    sK19: ( a > a > $o ) > a ).

thf(func_def_34,type,
    sK20: a > a > a > a > $o ).

thf(func_def_35,type,
    sK21: ( a > a > $o ) > a ).

thf(func_def_36,type,
    sK22: ( a > a > $o ) > a ).

thf(func_def_37,type,
    sK23: ( a > a > $o ) > a ).

thf(func_def_38,type,
    sK24: ( a > a > $o ) > a ).

thf(func_def_39,type,
    sK25: ( a > a > $o ) > a ).

thf(func_def_40,type,
    sK26: a > a > a > a > $o ).

thf(func_def_41,type,
    sK27: ( a > a > $o ) > a ).

thf(func_def_42,type,
    sK28: ( a > a > $o ) > a ).

thf(func_def_43,type,
    sK29: ( a > a > $o ) > a ).

thf(func_def_44,type,
    sK30: ( a > a > $o ) > a ).

thf(func_def_45,type,
    sK31: ( a > a > $o ) > a ).

thf(func_def_46,type,
    sK32: ( a > a > $o ) > a ).

thf(func_def_47,type,
    sK33: ( a > a > $o ) > a ).

thf(func_def_48,type,
    sK34: a > a > a > a > $o ).

thf(func_def_49,type,
    sK35: ( a > a > $o ) > a ).

thf(func_def_50,type,
    sK36: ( a > a > $o ) > a ).

thf(func_def_51,type,
    sK37: ( a > a > $o ) > a ).

thf(func_def_52,type,
    sK38: ( a > a > $o ) > a ).

thf(func_def_53,type,
    sK39: ( a > a > $o ) > a ).

thf(func_def_54,type,
    sK40: ( a > a > $o ) > a ).

thf(func_def_55,type,
    sK41: ( a > a > $o ) > a ).

thf(func_def_56,type,
    sK42: ( a > a > $o ) > a ).

thf(func_def_57,type,
    sK43: ( a > a > $o ) > a ).

thf(func_def_58,type,
    sK44: ( a > a > $o ) > a ).

thf(func_def_59,type,
    sK45: ( a > a > $o ) > a ).

thf(func_def_60,type,
    sK46: ( a > a > $o ) > a ).

thf(func_def_61,type,
    sK47: a > a > a > a > $o ).

thf(func_def_62,type,
    sK48: a > a > a > a > $o ).

thf(func_def_63,type,
    sK49: ( a > a > $o ) > a ).

thf(func_def_64,type,
    sK50: ( a > a > $o ) > a ).

thf(func_def_65,type,
    sK51: ( a > a > $o ) > a ).

thf(func_def_66,type,
    sK52: ( a > a > $o ) > a ).

thf(func_def_67,type,
    sK53: ( a > a > $o ) > a ).

thf(func_def_68,type,
    sK54: a > a > a > a > $o ).

thf(func_def_69,type,
    sK55: ( a > a > $o ) > a ).

thf(func_def_70,type,
    sK56: ( a > a > $o ) > a ).

thf(func_def_71,type,
    sK57: ( a > a > $o ) > a ).

thf(func_def_72,type,
    sK58: ( a > a > $o ) > a ).

thf(func_def_73,type,
    sK59: ( a > a > $o ) > a ).

thf(func_def_74,type,
    sK60: ( a > a > $o ) > a ).

thf(f10509,plain,
    $false,
    inference(avatar_sat_refutation,[status(thm)],[f180,f260,f1973,f7699,f8120,f8274,f10479,f10492,f10500]) ).

thf(f10500,plain,
    ( ~ spl12_14
    | ~ spl12_162
    | spl12_488 ),
    inference(avatar_contradiction_clause,[status(thm)],[f10499]) ).

thf(f10499,plain,
    ( $false
    | ~ spl12_14
    | ~ spl12_162
    | spl12_488 ),
    inference(trivial_inequality_removal,[status(thm)],[f10498]) ).

thf(f10498,plain,
    ( ( $false = $true )
    | ~ spl12_14
    | ~ spl12_162
    | spl12_488 ),
    inference(forward_demodulation,[status(thm)],[f10497,f1967]) ).

thf(f1967,plain,
    ( ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $false )
    | ~ spl12_162 ),
    inference(avatar_component_clause,[status(thm)],[f1965]) ).

thf(f1965,definition,
    ( spl12_162
  <=> ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl12_162])],[avatar_definition]) ).

thf(f10497,plain,
    ( ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $true )
    | ~ spl12_14
    | spl12_488 ),
    inference(subsumption_resolution,[status(thm)],[f10496,f149]) ).

thf(f149,plain,
    ( ( ( sP0 @ sK6 @ sK11 )
      = $true )
    | ~ spl12_14 ),
    inference(avatar_component_clause,[status(thm)],[f147]) ).

thf(f147,definition,
    ( spl12_14
  <=> ( ( sP0 @ sK6 @ sK11 )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl12_14])],[avatar_definition]) ).

thf(f10496,plain,
    ( ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $true )
    | ( ( sP0 @ sK6 @ sK11 )
     != $true )
    | ~ spl12_14
    | spl12_488 ),
    inference(subsumption_resolution,[status(thm)],[f8791,f7697]) ).

thf(f7697,plain,
    ( ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK18 @ sK11 ) )
     != $true )
    | spl12_488 ),
    inference(avatar_component_clause,[status(thm)],[f7696]) ).

thf(f7696,definition,
    ( spl12_488
  <=> ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK18 @ sK11 ) )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl12_488])],[avatar_definition]) ).

thf(f8791,plain,
    ( ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK18 @ sK11 ) )
      = $true )
    | ( ( sP0 @ sK6 @ sK11 )
     != $true )
    | ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $true )
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[status(thm)],[f8695]) ).

thf(f8695,plain,
    ( ( ( sP0 @ sK6 @ sK11 )
     != $true )
    | ( $true != $true )
    | ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $true )
    | ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK18 @ sK11 ) )
      = $true )
    | ~ spl12_14 ),
    inference(superposition,[status(thm)],[f25,f4079]) ).

thf(f4079,plain,
    ( ! [X0: a > a > $o] :
        ( ( $true
          = ( X0 @ ( sK1 @ sK6 @ sK11 ) @ ( sK2 @ sK6 @ sK11 ) ) )
        | ( ( sK11 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $true )
        | ( ( X0 @ ( sK17 @ X0 ) @ ( sK18 @ X0 ) )
          = $true ) )
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[status(thm)],[f4054]) ).

thf(f4054,plain,
    ( ! [X0: a > a > $o] :
        ( ( ( X0 @ ( sK17 @ X0 ) @ ( sK18 @ X0 ) )
          = $true )
        | ( $true
          = ( X0 @ ( sK1 @ sK6 @ sK11 ) @ ( sK2 @ sK6 @ sK11 ) ) )
        | ( ( sK11 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $true )
        | ( $false = $true ) )
    | ~ spl12_14 ),
    inference(superposition,[status(thm)],[f3606,f430]) ).

thf(f430,plain,
    ( ( ( sK3 @ sK6 @ sK11 @ ( sK1 @ sK6 @ sK11 ) @ ( sK2 @ sK6 @ sK11 ) )
      = $true )
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[status(thm)],[f425]) ).

thf(f425,plain,
    ( ( $true != $true )
    | ( ( sK3 @ sK6 @ sK11 @ ( sK1 @ sK6 @ sK11 ) @ ( sK2 @ sK6 @ sK11 ) )
      = $true )
    | ~ spl12_14 ),
    inference(superposition,[status(thm)],[f22,f149]) ).

thf(f22,plain,
    ! [X0: a > a > $o,X1: ( a > a > $o ) > $o] :
      ( ( ( sP0 @ X1 @ X0 )
       != $true )
      | ( ( sK3 @ X1 @ X0 @ ( sK1 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) )
        = $true ) ),
    inference(cnf_transformation,[status(thm)],[f16]) ).

thf(f16,plain,
    ! [X0: a > a > $o,X1: ( a > a > $o ) > $o] :
      ( ( ( ( X0 @ ( sK1 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) )
         != $true )
        & ( ( X1 @ ( sK4 @ X1 @ X0 ) )
          = $true )
        & ( ( sK3 @ X1 @ X0 )
          = ( ^ [Y0: a,Y1: a] :
                ( !! @ ( a > a > $o )
                @ ^ [Y2: a > a > $o] :
                    ( ( ( !! @ a
                        @ ^ [Y3: a] :
                            ( !! @ a
                            @ ^ [Y4: a] :
                                ( !! @ a
                                @ ^ [Y5: a] :
                                    ( ( ( Y2 @ Y5 @ Y3 )
                                      & ( Y2 @ Y4 @ Y5 ) )
                                   => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                      & ( !! @ a
                        @ ^ [Y3: a] :
                            ( !! @ a
                            @ ^ [Y4: a] :
                                ( ( sK4 @ X1 @ X0 @ Y4 @ Y3 )
                               => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                   => ( Y2 @ Y0 @ Y1 ) ) ) ) )
        & ( ( sK3 @ X1 @ X0 @ ( sK1 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) )
          = $true ) )
      | ( ( sP0 @ X1 @ X0 )
       != $true ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f12,f15,f14,f13]) ).

thf(f13,plain,
    ! [X0: a > a > $o,X1: ( a > a > $o ) > $o] :
      ( ? [X2: a,X3: a] :
          ( ( ( X0 @ X2 @ X3 )
           != $true )
          & ? [X4: a > a > $o] :
              ( ? [X5: a > a > $o] :
                  ( ( ( X1 @ X5 )
                    = $true )
                  & ( ( ^ [Y0: a,Y1: a] :
                          ( !! @ ( a > a > $o )
                          @ ^ [Y2: a > a > $o] :
                              ( ( ( !! @ a
                                  @ ^ [Y3: a] :
                                      ( !! @ a
                                      @ ^ [Y4: a] :
                                          ( !! @ a
                                          @ ^ [Y5: a] :
                                              ( ( ( Y2 @ Y5 @ Y3 )
                                                & ( Y2 @ Y4 @ Y5 ) )
                                             => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                                & ( !! @ a
                                  @ ^ [Y3: a] :
                                      ( !! @ a
                                      @ ^ [Y4: a] :
                                          ( ( X5 @ Y4 @ Y3 )
                                         => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                             => ( Y2 @ Y0 @ Y1 ) ) ) )
                    = X4 ) )
              & ( ( X4 @ X2 @ X3 )
                = $true ) ) )
     => ( ( ( X0 @ ( sK1 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) )
         != $true )
        & ? [X4: a > a > $o] :
            ( ? [X5: a > a > $o] :
                ( ( ( X1 @ X5 )
                  = $true )
                & ( ( ^ [Y0: a,Y1: a] :
                        ( !! @ ( a > a > $o )
                        @ ^ [Y2: a > a > $o] :
                            ( ( ( !! @ a
                                @ ^ [Y3: a] :
                                    ( !! @ a
                                    @ ^ [Y4: a] :
                                        ( !! @ a
                                        @ ^ [Y5: a] :
                                            ( ( ( Y2 @ Y5 @ Y3 )
                                              & ( Y2 @ Y4 @ Y5 ) )
                                           => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                              & ( !! @ a
                                @ ^ [Y3: a] :
                                    ( !! @ a
                                    @ ^ [Y4: a] :
                                        ( ( X5 @ Y4 @ Y3 )
                                       => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                           => ( Y2 @ Y0 @ Y1 ) ) ) )
                  = X4 ) )
            & ( ( X4 @ ( sK1 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) )
              = $true ) ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f14,plain,
    ! [X0: a > a > $o,X1: ( a > a > $o ) > $o] :
      ( ? [X4: a > a > $o] :
          ( ? [X5: a > a > $o] :
              ( ( ( X1 @ X5 )
                = $true )
              & ( ( ^ [Y0: a,Y1: a] :
                      ( !! @ ( a > a > $o )
                      @ ^ [Y2: a > a > $o] :
                          ( ( ( !! @ a
                              @ ^ [Y3: a] :
                                  ( !! @ a
                                  @ ^ [Y4: a] :
                                      ( !! @ a
                                      @ ^ [Y5: a] :
                                          ( ( ( Y2 @ Y5 @ Y3 )
                                            & ( Y2 @ Y4 @ Y5 ) )
                                         => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                            & ( !! @ a
                              @ ^ [Y3: a] :
                                  ( !! @ a
                                  @ ^ [Y4: a] :
                                      ( ( X5 @ Y4 @ Y3 )
                                     => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                         => ( Y2 @ Y0 @ Y1 ) ) ) )
                = X4 ) )
          & ( ( X4 @ ( sK1 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) )
            = $true ) )
     => ( ? [X5: a > a > $o] :
            ( ( ( X1 @ X5 )
              = $true )
            & ( ( sK3 @ X1 @ X0 )
              = ( ^ [Y0: a,Y1: a] :
                    ( !! @ ( a > a > $o )
                    @ ^ [Y2: a > a > $o] :
                        ( ( ( !! @ a
                            @ ^ [Y3: a] :
                                ( !! @ a
                                @ ^ [Y4: a] :
                                    ( !! @ a
                                    @ ^ [Y5: a] :
                                        ( ( ( Y2 @ Y5 @ Y3 )
                                          & ( Y2 @ Y4 @ Y5 ) )
                                       => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                          & ( !! @ a
                            @ ^ [Y3: a] :
                                ( !! @ a
                                @ ^ [Y4: a] :
                                    ( ( X5 @ Y4 @ Y3 )
                                   => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                       => ( Y2 @ Y0 @ Y1 ) ) ) ) ) )
        & ( ( sK3 @ X1 @ X0 @ ( sK1 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) )
          = $true ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f15,plain,
    ! [X0: a > a > $o,X1: ( a > a > $o ) > $o] :
      ( ? [X5: a > a > $o] :
          ( ( ( X1 @ X5 )
            = $true )
          & ( ( sK3 @ X1 @ X0 )
            = ( ^ [Y0: a,Y1: a] :
                  ( !! @ ( a > a > $o )
                  @ ^ [Y2: a > a > $o] :
                      ( ( ( !! @ a
                          @ ^ [Y3: a] :
                              ( !! @ a
                              @ ^ [Y4: a] :
                                  ( !! @ a
                                  @ ^ [Y5: a] :
                                      ( ( ( Y2 @ Y5 @ Y3 )
                                        & ( Y2 @ Y4 @ Y5 ) )
                                     => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                        & ( !! @ a
                          @ ^ [Y3: a] :
                              ( !! @ a
                              @ ^ [Y4: a] :
                                  ( ( X5 @ Y4 @ Y3 )
                                 => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                     => ( Y2 @ Y0 @ Y1 ) ) ) ) ) )
     => ( ( ( X1 @ ( sK4 @ X1 @ X0 ) )
          = $true )
        & ( ( sK3 @ X1 @ X0 )
          = ( ^ [Y0: a,Y1: a] :
                ( !! @ ( a > a > $o )
                @ ^ [Y2: a > a > $o] :
                    ( ( ( !! @ a
                        @ ^ [Y3: a] :
                            ( !! @ a
                            @ ^ [Y4: a] :
                                ( !! @ a
                                @ ^ [Y5: a] :
                                    ( ( ( Y2 @ Y5 @ Y3 )
                                      & ( Y2 @ Y4 @ Y5 ) )
                                   => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                      & ( !! @ a
                        @ ^ [Y3: a] :
                            ( !! @ a
                            @ ^ [Y4: a] :
                                ( ( sK4 @ X1 @ X0 @ Y4 @ Y3 )
                               => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                   => ( Y2 @ Y0 @ Y1 ) ) ) ) ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f12,plain,
    ! [X0: a > a > $o,X1: ( a > a > $o ) > $o] :
      ( ? [X2: a,X3: a] :
          ( ( ( X0 @ X2 @ X3 )
           != $true )
          & ? [X4: a > a > $o] :
              ( ? [X5: a > a > $o] :
                  ( ( ( X1 @ X5 )
                    = $true )
                  & ( ( ^ [Y0: a,Y1: a] :
                          ( !! @ ( a > a > $o )
                          @ ^ [Y2: a > a > $o] :
                              ( ( ( !! @ a
                                  @ ^ [Y3: a] :
                                      ( !! @ a
                                      @ ^ [Y4: a] :
                                          ( !! @ a
                                          @ ^ [Y5: a] :
                                              ( ( ( Y2 @ Y5 @ Y3 )
                                                & ( Y2 @ Y4 @ Y5 ) )
                                             => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                                & ( !! @ a
                                  @ ^ [Y3: a] :
                                      ( !! @ a
                                      @ ^ [Y4: a] :
                                          ( ( X5 @ Y4 @ Y3 )
                                         => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                             => ( Y2 @ Y0 @ Y1 ) ) ) )
                    = X4 ) )
              & ( ( X4 @ X2 @ X3 )
                = $true ) ) )
      | ( ( sP0 @ X1 @ X0 )
       != $true ) ),
    inference(rectify,[status(thm)],[f11]) ).

thf(f11,plain,
    ! [X3: a > a > $o,X1: ( a > a > $o ) > $o] :
      ( ? [X7: a,X8: a] :
          ( ( ( X3 @ X7 @ X8 )
           != $true )
          & ? [X9: a > a > $o] :
              ( ? [X10: a > a > $o] :
                  ( ( ( X1 @ X10 )
                    = $true )
                  & ( ( ^ [Y0: a,Y1: a] :
                          ( !! @ ( a > a > $o )
                          @ ^ [Y2: a > a > $o] :
                              ( ( ( !! @ a
                                  @ ^ [Y3: a] :
                                      ( !! @ a
                                      @ ^ [Y4: a] :
                                          ( !! @ a
                                          @ ^ [Y5: a] :
                                              ( ( ( Y2 @ Y5 @ Y3 )
                                                & ( Y2 @ Y4 @ Y5 ) )
                                             => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                                & ( !! @ a
                                  @ ^ [Y3: a] :
                                      ( !! @ a
                                      @ ^ [Y4: a] :
                                          ( ( X10 @ Y4 @ Y3 )
                                         => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                             => ( Y2 @ Y0 @ Y1 ) ) ) )
                    = X9 ) )
              & ( ( X9 @ X7 @ X8 )
                = $true ) ) )
      | ( ( sP0 @ X1 @ X3 )
       != $true ) ),
    inference(nnf_transformation,[status(thm)],[f9]) ).

thf(f9,plain,
    ! [X3: a > a > $o,X1: ( a > a > $o ) > $o] :
      ( ? [X7: a,X8: a] :
          ( ( ( X3 @ X7 @ X8 )
           != $true )
          & ? [X9: a > a > $o] :
              ( ? [X10: a > a > $o] :
                  ( ( ( X1 @ X10 )
                    = $true )
                  & ( ( ^ [Y0: a,Y1: a] :
                          ( !! @ ( a > a > $o )
                          @ ^ [Y2: a > a > $o] :
                              ( ( ( !! @ a
                                  @ ^ [Y3: a] :
                                      ( !! @ a
                                      @ ^ [Y4: a] :
                                          ( !! @ a
                                          @ ^ [Y5: a] :
                                              ( ( ( Y2 @ Y5 @ Y3 )
                                                & ( Y2 @ Y4 @ Y5 ) )
                                             => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                                & ( !! @ a
                                  @ ^ [Y3: a] :
                                      ( !! @ a
                                      @ ^ [Y4: a] :
                                          ( ( X10 @ Y4 @ Y3 )
                                         => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                             => ( Y2 @ Y0 @ Y1 ) ) ) )
                    = X9 ) )
              & ( ( X9 @ X7 @ X8 )
                = $true ) ) )
      | ( ( sP0 @ X1 @ X3 )
       != $true ) ),
    introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction]) ).

thf(f3606,plain,
    ( ! [X2: a,X0: a > a > $o,X1: a] :
        ( ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( X0 @ ( sK17 @ X0 ) @ ( sK18 @ X0 ) )
          = $true )
        | ( ( sK11 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $true )
        | ( ( X0 @ X1 @ X2 )
          = $true ) )
    | ~ spl12_14 ),
    inference(subsumption_resolution,[status(thm)],[f3603,f262]) ).

thf(f262,plain,
    ( ( ( sK6 @ ( sK4 @ sK6 @ sK11 ) )
      = $true )
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[status(thm)],[f261]) ).

thf(f261,plain,
    ( ( $true != $true )
    | ( ( sK6 @ ( sK4 @ sK6 @ sK11 ) )
      = $true )
    | ~ spl12_14 ),
    inference(superposition,[status(thm)],[f24,f149]) ).

thf(f24,plain,
    ! [X0: a > a > $o,X1: ( a > a > $o ) > $o] :
      ( ( ( sP0 @ X1 @ X0 )
       != $true )
      | ( ( X1 @ ( sK4 @ X1 @ X0 ) )
        = $true ) ),
    inference(cnf_transformation,[status(thm)],[f16]) ).

thf(f3603,plain,
    ( ! [X2: a,X0: a > a > $o,X1: a] :
        ( ( ( X0 @ ( sK17 @ X0 ) @ ( sK18 @ X0 ) )
          = $true )
        | ( ( sK6 @ ( sK4 @ sK6 @ sK11 ) )
         != $true )
        | ( ( sK11 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $true )
        | ( ( X0 @ X1 @ X2 )
          = $true )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) ) )
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[status(thm)],[f3600]) ).

thf(f3600,plain,
    ( ! [X2: a,X0: a > a > $o,X1: a] :
        ( ( ( X0 @ X1 @ X2 )
          = $true )
        | ( ( sK11 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $true )
        | ( ( sK6 @ ( sK4 @ sK6 @ sK11 ) )
         != $true )
        | ( $true != $true )
        | ( ( X0 @ ( sK17 @ X0 ) @ ( sK18 @ X0 ) )
          = $true )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) ) )
    | ~ spl12_14 ),
    inference(superposition,[status(thm)],[f27,f1238]) ).

thf(f1238,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( ( sK4 @ sK6 @ sK11 @ ( sK19 @ X3 ) @ ( sK15 @ X3 ) )
          = $true )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( X3 @ ( sK17 @ X3 ) @ ( sK18 @ X3 ) )
          = $true )
        | ( ( X3 @ X1 @ X2 )
          = $true ) )
    | ~ spl12_14 ),
    inference(binary_proxy_clausification,[status(thm)],[f1237]) ).

thf(f1237,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( ( X3 @ X1 @ X2 )
          = $true )
        | ( ( ( X3 @ ( sK18 @ X3 ) @ ( sK16 @ X3 ) )
            & ( X3 @ ( sK17 @ X3 ) @ ( sK18 @ X3 ) ) )
          = $true )
        | ( ( sK4 @ sK6 @ sK11 @ ( sK19 @ X3 ) @ ( sK15 @ X3 ) )
          = $true )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) ) )
    | ~ spl12_14 ),
    inference(binary_proxy_clausification,[status(thm)],[f1235]) ).

thf(f1235,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( ( ( ( X3 @ ( sK18 @ X3 ) @ ( sK16 @ X3 ) )
              & ( X3 @ ( sK17 @ X3 ) @ ( sK18 @ X3 ) ) )
           => ( X3 @ ( sK17 @ X3 ) @ ( sK16 @ X3 ) ) )
          = $false )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( X3 @ X1 @ X2 )
          = $true )
        | ( ( sK4 @ sK6 @ sK11 @ ( sK19 @ X3 ) @ ( sK15 @ X3 ) )
          = $true ) )
    | ~ spl12_14 ),
    inference(binary_proxy_clausification,[status(thm)],[f1233]) ).

thf(f1233,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( ( X3 @ X1 @ X2 )
          = $true )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( $false
          = ( ( sK4 @ sK6 @ sK11 @ ( sK19 @ X3 ) @ ( sK15 @ X3 ) )
           => ( X3 @ ( sK19 @ X3 ) @ ( sK15 @ X3 ) ) ) )
        | ( ( ( ( X3 @ ( sK18 @ X3 ) @ ( sK16 @ X3 ) )
              & ( X3 @ ( sK17 @ X3 ) @ ( sK18 @ X3 ) ) )
           => ( X3 @ ( sK17 @ X3 ) @ ( sK16 @ X3 ) ) )
          = $false ) )
    | ~ spl12_14 ),
    inference(beta_eta_normalization,[status(thm)],[f1232]) ).

thf(f1232,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( X3 @ X1 @ X2 )
          = $true )
        | ( ( ^ [Y0: a] :
                ( ( sK4 @ sK6 @ sK11 @ Y0 @ ( sK15 @ X3 ) )
               => ( X3 @ Y0 @ ( sK15 @ X3 ) ) )
            @ ( sK19 @ X3 ) )
          = $false )
        | ( ( ( ( X3 @ ( sK18 @ X3 ) @ ( sK16 @ X3 ) )
              & ( X3 @ ( sK17 @ X3 ) @ ( sK18 @ X3 ) ) )
           => ( X3 @ ( sK17 @ X3 ) @ ( sK16 @ X3 ) ) )
          = $false ) )
    | ~ spl12_14 ),
    inference(sigma_clausification,[status(thm)],[f1231]) ).

thf(f1231,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( X3 @ X1 @ X2 )
          = $true )
        | ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( sK4 @ sK6 @ sK11 @ Y0 @ ( sK15 @ X3 ) )
               => ( X3 @ Y0 @ ( sK15 @ X3 ) ) ) )
          = $false )
        | ( ( ( ( X3 @ ( sK18 @ X3 ) @ ( sK16 @ X3 ) )
              & ( X3 @ ( sK17 @ X3 ) @ ( sK18 @ X3 ) ) )
           => ( X3 @ ( sK17 @ X3 ) @ ( sK16 @ X3 ) ) )
          = $false ) )
    | ~ spl12_14 ),
    inference(beta_eta_normalization,[status(thm)],[f1230]) ).

thf(f1230,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( X3 @ X1 @ X2 )
          = $true )
        | ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( sK4 @ sK6 @ sK11 @ Y0 @ ( sK15 @ X3 ) )
               => ( X3 @ Y0 @ ( sK15 @ X3 ) ) ) )
          = $false )
        | ( ( ^ [Y0: a] :
                ( ( ( X3 @ Y0 @ ( sK16 @ X3 ) )
                  & ( X3 @ ( sK17 @ X3 ) @ Y0 ) )
               => ( X3 @ ( sK17 @ X3 ) @ ( sK16 @ X3 ) ) )
            @ ( sK18 @ X3 ) )
          = $false ) )
    | ~ spl12_14 ),
    inference(sigma_clausification,[status(thm)],[f1229]) ).

thf(f1229,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( X3 @ X1 @ X2 )
          = $true )
        | ( $false
          = ( !! @ a
            @ ^ [Y0: a] :
                ( ( ( X3 @ Y0 @ ( sK16 @ X3 ) )
                  & ( X3 @ ( sK17 @ X3 ) @ Y0 ) )
               => ( X3 @ ( sK17 @ X3 ) @ ( sK16 @ X3 ) ) ) ) )
        | ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( sK4 @ sK6 @ sK11 @ Y0 @ ( sK15 @ X3 ) )
               => ( X3 @ Y0 @ ( sK15 @ X3 ) ) ) )
          = $false ) )
    | ~ spl12_14 ),
    inference(beta_eta_normalization,[status(thm)],[f1228]) ).

thf(f1228,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( ( X3 @ X1 @ X2 )
          = $true )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( ^ [Y0: a] :
                ( !! @ a
                @ ^ [Y1: a] :
                    ( ( ( X3 @ Y1 @ ( sK16 @ X3 ) )
                      & ( X3 @ Y0 @ Y1 ) )
                   => ( X3 @ Y0 @ ( sK16 @ X3 ) ) ) )
            @ ( sK17 @ X3 ) )
          = $false )
        | ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( sK4 @ sK6 @ sK11 @ Y0 @ ( sK15 @ X3 ) )
               => ( X3 @ Y0 @ ( sK15 @ X3 ) ) ) )
          = $false ) )
    | ~ spl12_14 ),
    inference(sigma_clausification,[status(thm)],[f1227]) ).

thf(f1227,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( ( !! @ a
            @ ^ [Y0: a] :
                ( !! @ a
                @ ^ [Y1: a] :
                    ( ( ( X3 @ Y1 @ ( sK16 @ X3 ) )
                      & ( X3 @ Y0 @ Y1 ) )
                   => ( X3 @ Y0 @ ( sK16 @ X3 ) ) ) ) )
          = $false )
        | ( ( X3 @ X1 @ X2 )
          = $true )
        | ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( sK4 @ sK6 @ sK11 @ Y0 @ ( sK15 @ X3 ) )
               => ( X3 @ Y0 @ ( sK15 @ X3 ) ) ) )
          = $false )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) ) )
    | ~ spl12_14 ),
    inference(beta_eta_normalization,[status(thm)],[f1226]) ).

thf(f1226,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( ( X3 @ X1 @ X2 )
          = $true )
        | ( ( ^ [Y0: a] :
                ( !! @ a
                @ ^ [Y1: a] :
                    ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( ( X3 @ Y2 @ Y0 )
                          & ( X3 @ Y1 @ Y2 ) )
                       => ( X3 @ Y1 @ Y0 ) ) ) )
            @ ( sK16 @ X3 ) )
          = $false )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( sK4 @ sK6 @ sK11 @ Y0 @ ( sK15 @ X3 ) )
               => ( X3 @ Y0 @ ( sK15 @ X3 ) ) ) )
          = $false ) )
    | ~ spl12_14 ),
    inference(sigma_clausification,[status(thm)],[f1225]) ).

thf(f1225,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( ( X3 @ X1 @ X2 )
          = $true )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( !! @ a
            @ ^ [Y0: a] :
                ( !! @ a
                @ ^ [Y1: a] :
                    ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( ( X3 @ Y2 @ Y0 )
                          & ( X3 @ Y1 @ Y2 ) )
                       => ( X3 @ Y1 @ Y0 ) ) ) ) )
          = $false )
        | ( ( !! @ a
            @ ^ [Y0: a] :
                ( ( sK4 @ sK6 @ sK11 @ Y0 @ ( sK15 @ X3 ) )
               => ( X3 @ Y0 @ ( sK15 @ X3 ) ) ) )
          = $false ) )
    | ~ spl12_14 ),
    inference(beta_eta_normalization,[status(thm)],[f1224]) ).

thf(f1224,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( ( X3 @ X1 @ X2 )
          = $true )
        | ( ( ^ [Y0: a] :
                ( !! @ a
                @ ^ [Y1: a] :
                    ( ( sK4 @ sK6 @ sK11 @ Y1 @ Y0 )
                   => ( X3 @ Y1 @ Y0 ) ) )
            @ ( sK15 @ X3 ) )
          = $false )
        | ( ( !! @ a
            @ ^ [Y0: a] :
                ( !! @ a
                @ ^ [Y1: a] :
                    ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( ( X3 @ Y2 @ Y0 )
                          & ( X3 @ Y1 @ Y2 ) )
                       => ( X3 @ Y1 @ Y0 ) ) ) ) )
          = $false )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) ) )
    | ~ spl12_14 ),
    inference(sigma_clausification,[status(thm)],[f1223]) ).

thf(f1223,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( ( !! @ a
            @ ^ [Y0: a] :
                ( !! @ a
                @ ^ [Y1: a] :
                    ( ( sK4 @ sK6 @ sK11 @ Y1 @ Y0 )
                   => ( X3 @ Y1 @ Y0 ) ) ) )
          = $false )
        | ( ( X3 @ X1 @ X2 )
          = $true )
        | ( ( !! @ a
            @ ^ [Y0: a] :
                ( !! @ a
                @ ^ [Y1: a] :
                    ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( ( X3 @ Y2 @ Y0 )
                          & ( X3 @ Y1 @ Y2 ) )
                       => ( X3 @ Y1 @ Y0 ) ) ) ) )
          = $false )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) ) )
    | ~ spl12_14 ),
    inference(binary_proxy_clausification,[status(thm)],[f1222]) ).

thf(f1222,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( ( ( !! @ a
              @ ^ [Y0: a] :
                  ( !! @ a
                  @ ^ [Y1: a] :
                      ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( ( X3 @ Y2 @ Y0 )
                            & ( X3 @ Y1 @ Y2 ) )
                         => ( X3 @ Y1 @ Y0 ) ) ) ) )
            & ( !! @ a
              @ ^ [Y0: a] :
                  ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( sK4 @ sK6 @ sK11 @ Y1 @ Y0 )
                     => ( X3 @ Y1 @ Y0 ) ) ) ) )
          = $false )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( X3 @ X1 @ X2 )
          = $true ) )
    | ~ spl12_14 ),
    inference(binary_proxy_clausification,[status(thm)],[f1221]) ).

thf(f1221,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( $true
          = ( ( ( !! @ a
                @ ^ [Y0: a] :
                    ( !! @ a
                    @ ^ [Y1: a] :
                        ( !! @ a
                        @ ^ [Y2: a] :
                            ( ( ( X3 @ Y2 @ Y0 )
                              & ( X3 @ Y1 @ Y2 ) )
                           => ( X3 @ Y1 @ Y0 ) ) ) ) )
              & ( !! @ a
                @ ^ [Y0: a] :
                    ( !! @ a
                    @ ^ [Y1: a] :
                        ( ( sK4 @ sK6 @ sK11 @ Y1 @ Y0 )
                       => ( X3 @ Y1 @ Y0 ) ) ) ) )
           => ( X3 @ X1 @ X2 ) ) ) )
    | ~ spl12_14 ),
    inference(beta_eta_normalization,[status(thm)],[f1220]) ).

thf(f1220,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( ( ^ [Y0: a > a > $o] :
                ( ( ( !! @ a
                    @ ^ [Y1: a] :
                        ( !! @ a
                        @ ^ [Y2: a] :
                            ( !! @ a
                            @ ^ [Y3: a] :
                                ( ( ( Y0 @ Y3 @ Y1 )
                                  & ( Y0 @ Y2 @ Y3 ) )
                               => ( Y0 @ Y2 @ Y1 ) ) ) ) )
                  & ( !! @ a
                    @ ^ [Y1: a] :
                        ( !! @ a
                        @ ^ [Y2: a] :
                            ( ( sK4 @ sK6 @ sK11 @ Y2 @ Y1 )
                           => ( Y0 @ Y2 @ Y1 ) ) ) ) )
               => ( Y0 @ X1 @ X2 ) )
            @ X3 )
          = $true )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) ) )
    | ~ spl12_14 ),
    inference(pi_clausification,[status(thm)],[f1199]) ).

thf(f1199,plain,
    ( ! [X2: a,X1: a] :
        ( ( ( !! @ ( a > a > $o )
            @ ^ [Y0: a > a > $o] :
                ( ( ( !! @ a
                    @ ^ [Y1: a] :
                        ( !! @ a
                        @ ^ [Y2: a] :
                            ( !! @ a
                            @ ^ [Y3: a] :
                                ( ( ( Y0 @ Y3 @ Y1 )
                                  & ( Y0 @ Y2 @ Y3 ) )
                               => ( Y0 @ Y2 @ Y1 ) ) ) ) )
                  & ( !! @ a
                    @ ^ [Y1: a] :
                        ( !! @ a
                        @ ^ [Y2: a] :
                            ( ( sK4 @ sK6 @ sK11 @ Y2 @ Y1 )
                           => ( Y0 @ Y2 @ Y1 ) ) ) ) )
               => ( Y0 @ X1 @ X2 ) ) )
          = $true )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) ) )
    | ~ spl12_14 ),
    inference(binary_proxy_clausification,[status(thm)],[f1198]) ).

thf(f1198,plain,
    ( ! [X2: a,X1: a] :
        ( ( !! @ ( a > a > $o )
          @ ^ [Y0: a > a > $o] :
              ( ( ( !! @ a
                  @ ^ [Y1: a] :
                      ( !! @ a
                      @ ^ [Y2: a] :
                          ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( ( Y0 @ Y3 @ Y1 )
                                & ( Y0 @ Y2 @ Y3 ) )
                             => ( Y0 @ Y2 @ Y1 ) ) ) ) )
                & ( !! @ a
                  @ ^ [Y1: a] :
                      ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( sK4 @ sK6 @ sK11 @ Y2 @ Y1 )
                         => ( Y0 @ Y2 @ Y1 ) ) ) ) )
             => ( Y0 @ X1 @ X2 ) ) )
        = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
    | ~ spl12_14 ),
    inference(beta_eta_normalization,[status(thm)],[f1197]) ).

thf(f1197,plain,
    ( ! [X2: a,X1: a] :
        ( ( ^ [Y0: a] :
              ( !! @ ( a > a > $o )
              @ ^ [Y1: a > a > $o] :
                  ( ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( !! @ a
                          @ ^ [Y3: a] :
                              ( !! @ a
                              @ ^ [Y4: a] :
                                  ( ( ( Y1 @ Y4 @ Y2 )
                                    & ( Y1 @ Y3 @ Y4 ) )
                                 => ( Y1 @ Y3 @ Y2 ) ) ) ) )
                    & ( !! @ a
                      @ ^ [Y2: a] :
                          ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( sK4 @ sK6 @ sK11 @ Y3 @ Y2 )
                             => ( Y1 @ Y3 @ Y2 ) ) ) ) )
                 => ( Y1 @ X1 @ Y0 ) ) )
          @ X2 )
        = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
    | ~ spl12_14 ),
    inference(argument_congruence,[status(thm)],[f1071]) ).

thf(f1071,plain,
    ( ! [X1: a] :
        ( ( ^ [Y0: a] :
              ( !! @ ( a > a > $o )
              @ ^ [Y1: a > a > $o] :
                  ( ( ( !! @ a
                      @ ^ [Y2: a] :
                          ( !! @ a
                          @ ^ [Y3: a] :
                              ( !! @ a
                              @ ^ [Y4: a] :
                                  ( ( ( Y1 @ Y4 @ Y2 )
                                    & ( Y1 @ Y3 @ Y4 ) )
                                 => ( Y1 @ Y3 @ Y2 ) ) ) ) )
                    & ( !! @ a
                      @ ^ [Y2: a] :
                          ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( sK4 @ sK6 @ sK11 @ Y3 @ Y2 )
                             => ( Y1 @ Y3 @ Y2 ) ) ) ) )
                 => ( Y1 @ X1 @ Y0 ) ) ) )
        = ( sK3 @ sK6 @ sK11 @ X1 ) )
    | ~ spl12_14 ),
    inference(beta_eta_normalization,[status(thm)],[f1070]) ).

thf(f1070,plain,
    ( ! [X1: a] :
        ( ( sK3 @ sK6 @ sK11 @ X1 )
        = ( ^ [Y0: a,Y1: a] :
              ( !! @ ( a > a > $o )
              @ ^ [Y2: a > a > $o] :
                  ( ( ( !! @ a
                      @ ^ [Y3: a] :
                          ( !! @ a
                          @ ^ [Y4: a] :
                              ( !! @ a
                              @ ^ [Y5: a] :
                                  ( ( ( Y2 @ Y5 @ Y3 )
                                    & ( Y2 @ Y4 @ Y5 ) )
                                 => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                    & ( !! @ a
                      @ ^ [Y3: a] :
                          ( !! @ a
                          @ ^ [Y4: a] :
                              ( ( sK4 @ sK6 @ sK11 @ Y4 @ Y3 )
                             => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                 => ( Y2 @ Y0 @ Y1 ) ) )
          @ X1 ) )
    | ~ spl12_14 ),
    inference(argument_congruence,[status(thm)],[f438]) ).

thf(f438,plain,
    ( ( ( ^ [Y0: a,Y1: a] :
            ( !! @ ( a > a > $o )
            @ ^ [Y2: a > a > $o] :
                ( ( ( !! @ a
                    @ ^ [Y3: a] :
                        ( !! @ a
                        @ ^ [Y4: a] :
                            ( !! @ a
                            @ ^ [Y5: a] :
                                ( ( ( Y2 @ Y5 @ Y3 )
                                  & ( Y2 @ Y4 @ Y5 ) )
                               => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                  & ( !! @ a
                    @ ^ [Y3: a] :
                        ( !! @ a
                        @ ^ [Y4: a] :
                            ( ( sK4 @ sK6 @ sK11 @ Y4 @ Y3 )
                           => ( Y2 @ Y4 @ Y3 ) ) ) ) )
               => ( Y2 @ Y0 @ Y1 ) ) ) )
      = ( sK3 @ sK6 @ sK11 ) )
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[status(thm)],[f433]) ).

thf(f433,plain,
    ( ( $true != $true )
    | ( ( ^ [Y0: a,Y1: a] :
            ( !! @ ( a > a > $o )
            @ ^ [Y2: a > a > $o] :
                ( ( ( !! @ a
                    @ ^ [Y3: a] :
                        ( !! @ a
                        @ ^ [Y4: a] :
                            ( !! @ a
                            @ ^ [Y5: a] :
                                ( ( ( Y2 @ Y5 @ Y3 )
                                  & ( Y2 @ Y4 @ Y5 ) )
                               => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                  & ( !! @ a
                    @ ^ [Y3: a] :
                        ( !! @ a
                        @ ^ [Y4: a] :
                            ( ( sK4 @ sK6 @ sK11 @ Y4 @ Y3 )
                           => ( Y2 @ Y4 @ Y3 ) ) ) ) )
               => ( Y2 @ Y0 @ Y1 ) ) ) )
      = ( sK3 @ sK6 @ sK11 ) )
    | ~ spl12_14 ),
    inference(superposition,[status(thm)],[f23,f149]) ).

thf(f23,plain,
    ! [X0: a > a > $o,X1: ( a > a > $o ) > $o] :
      ( ( ( sP0 @ X1 @ X0 )
       != $true )
      | ( ( sK3 @ X1 @ X0 )
        = ( ^ [Y0: a,Y1: a] :
              ( !! @ ( a > a > $o )
              @ ^ [Y2: a > a > $o] :
                  ( ( ( !! @ a
                      @ ^ [Y3: a] :
                          ( !! @ a
                          @ ^ [Y4: a] :
                              ( !! @ a
                              @ ^ [Y5: a] :
                                  ( ( ( Y2 @ Y5 @ Y3 )
                                    & ( Y2 @ Y4 @ Y5 ) )
                                 => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                    & ( !! @ a
                      @ ^ [Y3: a] :
                          ( !! @ a
                          @ ^ [Y4: a] :
                              ( ( sK4 @ X1 @ X0 @ Y4 @ Y3 )
                             => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                 => ( Y2 @ Y0 @ Y1 ) ) ) ) ) ),
    inference(cnf_transformation,[status(thm)],[f16]) ).

thf(f27,plain,
    ! [X11: a,X12: a,X13: a > a > $o] :
      ( ( ( X13 @ X12 @ X11 )
       != $true )
      | ( ( sK11 @ X12 @ X11 )
        = $true )
      | ( ( sK6 @ X13 )
       != $true ) ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

thf(f21,plain,
    ( ! [X3: a > a > $o] :
        ( ( $true
          = ( X3 @ sK7 @ sK5 ) )
        | ( ( sP0 @ sK6 @ X3 )
          = $true )
        | ( ( ( X3 @ ( sK10 @ X3 ) @ ( sK9 @ X3 ) )
            = $true )
          & ( ( X3 @ ( sK8 @ X3 ) @ ( sK10 @ X3 ) )
            = $true )
          & ( ( X3 @ ( sK8 @ X3 ) @ ( sK9 @ X3 ) )
           != $true ) ) )
    & ! [X8: a,X9: a,X10: a] :
        ( ( ( sK11 @ X10 @ X9 )
         != $true )
        | ( $true
         != ( sK11 @ X9 @ X8 ) )
        | ( ( sK11 @ X10 @ X8 )
          = $true ) )
    & ! [X11: a,X12: a] :
        ( ( ( sK11 @ X12 @ X11 )
          = $true )
        | ! [X13: a > a > $o] :
            ( ( ( X13 @ X12 @ X11 )
             != $true )
            | ( ( sK6 @ X13 )
             != $true ) ) )
    & ( $true
     != ( sK11 @ sK7 @ sK5 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f17,f20,f19,f18]) ).

thf(f18,plain,
    ( ? [X0: a,X1: ( a > a > $o ) > $o,X2: a] :
        ( ! [X3: a > a > $o] :
            ( ( ( X3 @ X2 @ X0 )
              = $true )
            | ( ( sP0 @ X1 @ X3 )
              = $true )
            | ? [X4: a,X5: a,X6: a] :
                ( ( $true
                  = ( X3 @ X6 @ X5 ) )
                & ( ( X3 @ X4 @ X6 )
                  = $true )
                & ( ( X3 @ X4 @ X5 )
                 != $true ) ) )
        & ? [X7: a > a > $o] :
            ( ! [X8: a,X9: a,X10: a] :
                ( ( $true
                 != ( X7 @ X10 @ X9 ) )
                | ( ( X7 @ X9 @ X8 )
                 != $true )
                | ( ( X7 @ X10 @ X8 )
                  = $true ) )
            & ! [X11: a,X12: a] :
                ( ( $true
                  = ( X7 @ X12 @ X11 ) )
                | ! [X13: a > a > $o] :
                    ( ( ( X13 @ X12 @ X11 )
                     != $true )
                    | ( ( X1 @ X13 )
                     != $true ) ) )
            & ( ( X7 @ X2 @ X0 )
             != $true ) ) )
   => ( ! [X3: a > a > $o] :
          ( ( $true
            = ( X3 @ sK7 @ sK5 ) )
          | ( ( sP0 @ sK6 @ X3 )
            = $true )
          | ? [X4: a,X5: a,X6: a] :
              ( ( $true
                = ( X3 @ X6 @ X5 ) )
              & ( ( X3 @ X4 @ X6 )
                = $true )
              & ( ( X3 @ X4 @ X5 )
               != $true ) ) )
      & ? [X7: a > a > $o] :
          ( ! [X8: a,X9: a,X10: a] :
              ( ( $true
               != ( X7 @ X10 @ X9 ) )
              | ( ( X7 @ X9 @ X8 )
               != $true )
              | ( ( X7 @ X10 @ X8 )
                = $true ) )
          & ! [X12: a,X11: a] :
              ( ( $true
                = ( X7 @ X12 @ X11 ) )
              | ! [X13: a > a > $o] :
                  ( ( ( X13 @ X12 @ X11 )
                   != $true )
                  | ( ( sK6 @ X13 )
                   != $true ) ) )
          & ( ( X7 @ sK7 @ sK5 )
           != $true ) ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f19,plain,
    ! [X3: a > a > $o] :
      ( ? [X4: a,X5: a,X6: a] :
          ( ( $true
            = ( X3 @ X6 @ X5 ) )
          & ( ( X3 @ X4 @ X6 )
            = $true )
          & ( ( X3 @ X4 @ X5 )
           != $true ) )
     => ( ( ( X3 @ ( sK10 @ X3 ) @ ( sK9 @ X3 ) )
          = $true )
        & ( ( X3 @ ( sK8 @ X3 ) @ ( sK10 @ X3 ) )
          = $true )
        & ( ( X3 @ ( sK8 @ X3 ) @ ( sK9 @ X3 ) )
         != $true ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f20,plain,
    ( ? [X7: a > a > $o] :
        ( ! [X8: a,X9: a,X10: a] :
            ( ( $true
             != ( X7 @ X10 @ X9 ) )
            | ( ( X7 @ X9 @ X8 )
             != $true )
            | ( ( X7 @ X10 @ X8 )
              = $true ) )
        & ! [X12: a,X11: a] :
            ( ( $true
              = ( X7 @ X12 @ X11 ) )
            | ! [X13: a > a > $o] :
                ( ( ( X13 @ X12 @ X11 )
                 != $true )
                | ( ( sK6 @ X13 )
                 != $true ) ) )
        & ( ( X7 @ sK7 @ sK5 )
         != $true ) )
   => ( ! [X10: a,X9: a,X8: a] :
          ( ( ( sK11 @ X10 @ X9 )
           != $true )
          | ( $true
           != ( sK11 @ X9 @ X8 ) )
          | ( ( sK11 @ X10 @ X8 )
            = $true ) )
      & ! [X12: a,X11: a] :
          ( ( ( sK11 @ X12 @ X11 )
            = $true )
          | ! [X13: a > a > $o] :
              ( ( ( X13 @ X12 @ X11 )
               != $true )
              | ( ( sK6 @ X13 )
               != $true ) ) )
      & ( $true
       != ( sK11 @ sK7 @ sK5 ) ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f17,plain,
    ? [X0: a,X1: ( a > a > $o ) > $o,X2: a] :
      ( ! [X3: a > a > $o] :
          ( ( ( X3 @ X2 @ X0 )
            = $true )
          | ( ( sP0 @ X1 @ X3 )
            = $true )
          | ? [X4: a,X5: a,X6: a] :
              ( ( $true
                = ( X3 @ X6 @ X5 ) )
              & ( ( X3 @ X4 @ X6 )
                = $true )
              & ( ( X3 @ X4 @ X5 )
               != $true ) ) )
      & ? [X7: a > a > $o] :
          ( ! [X8: a,X9: a,X10: a] :
              ( ( $true
               != ( X7 @ X10 @ X9 ) )
              | ( ( X7 @ X9 @ X8 )
               != $true )
              | ( ( X7 @ X10 @ X8 )
                = $true ) )
          & ! [X11: a,X12: a] :
              ( ( $true
                = ( X7 @ X12 @ X11 ) )
              | ! [X13: a > a > $o] :
                  ( ( ( X13 @ X12 @ X11 )
                   != $true )
                  | ( ( X1 @ X13 )
                   != $true ) ) )
          & ( ( X7 @ X2 @ X0 )
           != $true ) ) ),
    inference(rectify,[status(thm)],[f10]) ).

thf(f10,plain,
    ? [X0: a,X1: ( a > a > $o ) > $o,X2: a] :
      ( ! [X3: a > a > $o] :
          ( ( ( X3 @ X2 @ X0 )
            = $true )
          | ( ( sP0 @ X1 @ X3 )
            = $true )
          | ? [X4: a,X5: a,X6: a] :
              ( ( $true
                = ( X3 @ X6 @ X5 ) )
              & ( ( X3 @ X4 @ X6 )
                = $true )
              & ( ( X3 @ X4 @ X5 )
               != $true ) ) )
      & ? [X11: a > a > $o] :
          ( ! [X15: a,X16: a,X17: a] :
              ( ( ( X11 @ X17 @ X16 )
               != $true )
              | ( ( X11 @ X16 @ X15 )
               != $true )
              | ( ( X11 @ X17 @ X15 )
                = $true ) )
          & ! [X12: a,X13: a] :
              ( ( ( X11 @ X13 @ X12 )
                = $true )
              | ! [X14: a > a > $o] :
                  ( ( $true
                   != ( X14 @ X13 @ X12 ) )
                  | ( ( X1 @ X14 )
                   != $true ) ) )
          & ( ( X11 @ X2 @ X0 )
           != $true ) ) ),
    inference(definition_folding,[status(thm)],[f8,f9]) ).

thf(f8,plain,
    ? [X0: a,X1: ( a > a > $o ) > $o,X2: a] :
      ( ! [X3: a > a > $o] :
          ( ( ( X3 @ X2 @ X0 )
            = $true )
          | ? [X7: a,X8: a] :
              ( ( ( X3 @ X7 @ X8 )
               != $true )
              & ? [X9: a > a > $o] :
                  ( ? [X10: a > a > $o] :
                      ( ( ( X1 @ X10 )
                        = $true )
                      & ( ( ^ [Y0: a,Y1: a] :
                              ( !! @ ( a > a > $o )
                              @ ^ [Y2: a > a > $o] :
                                  ( ( ( !! @ a
                                      @ ^ [Y3: a] :
                                          ( !! @ a
                                          @ ^ [Y4: a] :
                                              ( !! @ a
                                              @ ^ [Y5: a] :
                                                  ( ( ( Y2 @ Y5 @ Y3 )
                                                    & ( Y2 @ Y4 @ Y5 ) )
                                                 => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                                    & ( !! @ a
                                      @ ^ [Y3: a] :
                                          ( !! @ a
                                          @ ^ [Y4: a] :
                                              ( ( X10 @ Y4 @ Y3 )
                                             => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                                 => ( Y2 @ Y0 @ Y1 ) ) ) )
                        = X9 ) )
                  & ( ( X9 @ X7 @ X8 )
                    = $true ) ) )
          | ? [X4: a,X5: a,X6: a] :
              ( ( $true
                = ( X3 @ X6 @ X5 ) )
              & ( ( X3 @ X4 @ X6 )
                = $true )
              & ( ( X3 @ X4 @ X5 )
               != $true ) ) )
      & ? [X11: a > a > $o] :
          ( ! [X15: a,X16: a,X17: a] :
              ( ( ( X11 @ X17 @ X16 )
               != $true )
              | ( ( X11 @ X16 @ X15 )
               != $true )
              | ( ( X11 @ X17 @ X15 )
                = $true ) )
          & ! [X12: a,X13: a] :
              ( ( ( X11 @ X13 @ X12 )
                = $true )
              | ! [X14: a > a > $o] :
                  ( ( $true
                   != ( X14 @ X13 @ X12 ) )
                  | ( ( X1 @ X14 )
                   != $true ) ) )
          & ( ( X11 @ X2 @ X0 )
           != $true ) ) ),
    inference(flattening,[status(thm)],[f7]) ).

thf(f7,plain,
    ? [X0: a,X1: ( a > a > $o ) > $o,X2: a] :
      ( ? [X11: a > a > $o] :
          ( ( ( X11 @ X2 @ X0 )
           != $true )
          & ! [X12: a,X13: a] :
              ( ( ( X11 @ X13 @ X12 )
                = $true )
              | ! [X14: a > a > $o] :
                  ( ( $true
                   != ( X14 @ X13 @ X12 ) )
                  | ( ( X1 @ X14 )
                   != $true ) ) )
          & ! [X15: a,X16: a,X17: a] :
              ( ( ( X11 @ X17 @ X15 )
                = $true )
              | ( ( X11 @ X17 @ X16 )
               != $true )
              | ( ( X11 @ X16 @ X15 )
               != $true ) ) )
      & ! [X3: a > a > $o] :
          ( ( ( X3 @ X2 @ X0 )
            = $true )
          | ? [X4: a,X5: a,X6: a] :
              ( ( ( X3 @ X4 @ X5 )
               != $true )
              & ( $true
                = ( X3 @ X6 @ X5 ) )
              & ( ( X3 @ X4 @ X6 )
                = $true ) )
          | ? [X7: a,X8: a] :
              ( ( ( X3 @ X7 @ X8 )
               != $true )
              & ? [X9: a > a > $o] :
                  ( ? [X10: a > a > $o] :
                      ( ( ( X1 @ X10 )
                        = $true )
                      & ( ( ^ [Y0: a,Y1: a] :
                              ( !! @ ( a > a > $o )
                              @ ^ [Y2: a > a > $o] :
                                  ( ( ( !! @ a
                                      @ ^ [Y3: a] :
                                          ( !! @ a
                                          @ ^ [Y4: a] :
                                              ( !! @ a
                                              @ ^ [Y5: a] :
                                                  ( ( ( Y2 @ Y5 @ Y3 )
                                                    & ( Y2 @ Y4 @ Y5 ) )
                                                 => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                                    & ( !! @ a
                                      @ ^ [Y3: a] :
                                          ( !! @ a
                                          @ ^ [Y4: a] :
                                              ( ( X10 @ Y4 @ Y3 )
                                             => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                                 => ( Y2 @ Y0 @ Y1 ) ) ) )
                        = X9 ) )
                  & ( ( X9 @ X7 @ X8 )
                    = $true ) ) ) ) ),
    inference(ennf_transformation,[status(thm)],[f6]) ).

thf(f6,plain,
    ~ ! [X0: a,X1: ( a > a > $o ) > $o,X2: a] :
        ( ! [X3: a > a > $o] :
            ( ( ! [X4: a,X5: a,X6: a] :
                  ( ( ( $true
                      = ( X3 @ X6 @ X5 ) )
                    & ( ( X3 @ X4 @ X6 )
                      = $true ) )
                 => ( ( X3 @ X4 @ X5 )
                    = $true ) )
              & ! [X7: a,X8: a] :
                  ( ? [X9: a > a > $o] :
                      ( ? [X10: a > a > $o] :
                          ( ( ( X1 @ X10 )
                            = $true )
                          & ( ( ^ [Y0: a,Y1: a] :
                                  ( !! @ ( a > a > $o )
                                  @ ^ [Y2: a > a > $o] :
                                      ( ( ( !! @ a
                                          @ ^ [Y3: a] :
                                              ( !! @ a
                                              @ ^ [Y4: a] :
                                                  ( !! @ a
                                                  @ ^ [Y5: a] :
                                                      ( ( ( Y2 @ Y5 @ Y3 )
                                                        & ( Y2 @ Y4 @ Y5 ) )
                                                     => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                                        & ( !! @ a
                                          @ ^ [Y3: a] :
                                              ( !! @ a
                                              @ ^ [Y4: a] :
                                                  ( ( X10 @ Y4 @ Y3 )
                                                 => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                                     => ( Y2 @ Y0 @ Y1 ) ) ) )
                            = X9 ) )
                      & ( ( X9 @ X7 @ X8 )
                        = $true ) )
                 => ( ( X3 @ X7 @ X8 )
                    = $true ) ) )
           => ( ( X3 @ X2 @ X0 )
              = $true ) )
       => ! [X11: a > a > $o] :
            ( ( ! [X12: a,X13: a] :
                  ( ? [X14: a > a > $o] :
                      ( ( $true
                        = ( X14 @ X13 @ X12 ) )
                      & ( ( X1 @ X14 )
                        = $true ) )
                 => ( ( X11 @ X13 @ X12 )
                    = $true ) )
              & ! [X15: a,X16: a,X17: a] :
                  ( ( ( ( X11 @ X17 @ X16 )
                      = $true )
                    & ( ( X11 @ X16 @ X15 )
                      = $true ) )
                 => ( ( X11 @ X17 @ X15 )
                    = $true ) ) )
           => ( ( X11 @ X2 @ X0 )
              = $true ) ) ),
    inference(rectify,[status(thm)],[f5]) ).

thf(f5,plain,
    ~ ! [X0: a,X1: ( a > a > $o ) > $o,X2: a] :
        ( ! [X3: a > a > $o] :
            ( ( ! [X4: a,X5: a,X6: a] :
                  ( ( ( $true
                      = ( X3 @ X6 @ X5 ) )
                    & ( ( X3 @ X4 @ X6 )
                      = $true ) )
                 => ( ( X3 @ X4 @ X5 )
                    = $true ) )
              & ! [X7: a,X8: a] :
                  ( ? [X9: a > a > $o] :
                      ( ? [X10: a > a > $o] :
                          ( ( ( X1 @ X10 )
                            = $true )
                          & ( ( ^ [Y0: a,Y1: a] :
                                  ( !! @ ( a > a > $o )
                                  @ ^ [Y2: a > a > $o] :
                                      ( ( ( !! @ a
                                          @ ^ [Y3: a] :
                                              ( !! @ a
                                              @ ^ [Y4: a] :
                                                  ( !! @ a
                                                  @ ^ [Y5: a] :
                                                      ( ( ( Y2 @ Y5 @ Y3 )
                                                        & ( Y2 @ Y4 @ Y5 ) )
                                                     => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                                        & ( !! @ a
                                          @ ^ [Y3: a] :
                                              ( !! @ a
                                              @ ^ [Y4: a] :
                                                  ( ( X10 @ Y4 @ Y3 )
                                                 => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                                     => ( Y2 @ Y0 @ Y1 ) ) ) )
                            = X9 ) )
                      & ( ( X9 @ X7 @ X8 )
                        = $true ) )
                 => ( ( X3 @ X7 @ X8 )
                    = $true ) ) )
           => ( ( X3 @ X2 @ X0 )
              = $true ) )
       => ! [X19: a > a > $o] :
            ( ( ! [X20: a,X21: a] :
                  ( ? [X22: a > a > $o] :
                      ( ( ( X1 @ X22 )
                        = $true )
                      & ( ( X22 @ X21 @ X20 )
                        = $true ) )
                 => ( ( X19 @ X21 @ X20 )
                    = $true ) )
              & ! [X23: a,X24: a,X25: a] :
                  ( ( ( ( X19 @ X24 @ X23 )
                      = $true )
                    & ( ( X19 @ X25 @ X24 )
                      = $true ) )
                 => ( ( X19 @ X25 @ X23 )
                    = $true ) ) )
           => ( ( X19 @ X2 @ X0 )
              = $true ) ) ),
    inference(fool_elimination,[status(thm)],[f4]) ).

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

thf(f2,negated_conjecture,
    ~ ! [X2: a,X0: ( a > a > $o ) > $o,X1: a] :
        ( ! [X3: a > a > $o] :
            ( ( ! [X4: a,X13: a,X5: a] :
                  ( ( ( X3 @ X4 @ X5 )
                    & ( X3 @ X5 @ X13 ) )
                 => ( X3 @ X4 @ X13 ) )
              & ! [X4: a,X5: a] :
                  ( ? [X6: a > a > $o] :
                      ( ( X6 @ X4 @ X5 )
                      & ? [X7: a > a > $o] :
                          ( ( ( ^ [X8: a,X9: a] :
                                ! [X10: a > a > $o] :
                                  ( ( ! [X11: a,X12: a] :
                                        ( ( X7 @ X11 @ X12 )
                                       => ( X10 @ X11 @ X12 ) )
                                    & ! [X12: a,X11: a,X13: a] :
                                        ( ( ( X10 @ X11 @ X12 )
                                          & ( X10 @ X12 @ X13 ) )
                                       => ( X10 @ X11 @ X13 ) ) )
                                 => ( X10 @ X8 @ X9 ) ) )
                            = X6 )
                          & ( X0 @ X7 ) ) )
                 => ( X3 @ X4 @ X5 ) ) )
           => ( X3 @ X1 @ X2 ) )
       => ! [X3: a > a > $o] :
            ( ( ! [X5: a,X4: a] :
                  ( ? [X6: a > a > $o] :
                      ( ( X0 @ X6 )
                      & ( X6 @ X4 @ X5 ) )
                 => ( X3 @ X4 @ X5 ) )
              & ! [X13: a,X5: a,X4: a] :
                  ( ( ( X3 @ X5 @ X13 )
                    & ( X3 @ X4 @ X5 ) )
                 => ( X3 @ X4 @ X13 ) ) )
           => ( X3 @ X1 @ X2 ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

thf(f1,conjecture,
    ! [X2: a,X0: ( a > a > $o ) > $o,X1: a] :
      ( ! [X3: a > a > $o] :
          ( ( ! [X4: a,X13: a,X5: a] :
                ( ( ( X3 @ X4 @ X5 )
                  & ( X3 @ X5 @ X13 ) )
               => ( X3 @ X4 @ X13 ) )
            & ! [X4: a,X5: a] :
                ( ? [X6: a > a > $o] :
                    ( ( X6 @ X4 @ X5 )
                    & ? [X7: a > a > $o] :
                        ( ( ( ^ [X8: a,X9: a] :
                              ! [X10: a > a > $o] :
                                ( ( ! [X11: a,X12: a] :
                                      ( ( X7 @ X11 @ X12 )
                                     => ( X10 @ X11 @ X12 ) )
                                  & ! [X12: a,X11: a,X13: a] :
                                      ( ( ( X10 @ X11 @ X12 )
                                        & ( X10 @ X12 @ X13 ) )
                                     => ( X10 @ X11 @ X13 ) ) )
                               => ( X10 @ X8 @ X9 ) ) )
                          = X6 )
                        & ( X0 @ X7 ) ) )
               => ( X3 @ X4 @ X5 ) ) )
         => ( X3 @ X1 @ X2 ) )
     => ! [X3: a > a > $o] :
          ( ( ! [X5: a,X4: a] :
                ( ? [X6: a > a > $o] :
                    ( ( X0 @ X6 )
                    & ( X6 @ X4 @ X5 ) )
               => ( X3 @ X4 @ X5 ) )
            & ! [X13: a,X5: a,X4: a] :
                ( ( ( X3 @ X5 @ X13 )
                  & ( X3 @ X4 @ X5 ) )
               => ( X3 @ X4 @ X13 ) ) )
         => ( X3 @ X1 @ X2 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.2dK0iQh3GD/DTF2THF_25817.p',cTHM253_B_pme) ).

thf(f25,plain,
    ! [X0: a > a > $o,X1: ( a > a > $o ) > $o] :
      ( ( ( X0 @ ( sK1 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) )
       != $true )
      | ( ( sP0 @ X1 @ X0 )
       != $true ) ),
    inference(cnf_transformation,[status(thm)],[f16]) ).

thf(f10492,plain,
    ( spl12_523
    | ~ spl12_14
    | ~ spl12_162 ),
    inference(avatar_split_clause,[status(thm)],[f10491,f1965,f147,f8099]) ).

thf(f8099,definition,
    ( spl12_523
  <=> ( ( sK11 @ ( sK18 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl12_523])],[avatar_definition]) ).

thf(f10491,plain,
    ( ( ( sK11 @ ( sK18 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $true )
    | ~ spl12_14
    | ~ spl12_162 ),
    inference(trivial_inequality_removal,[status(thm)],[f10490]) ).

thf(f10490,plain,
    ( ( ( sK11 @ ( sK18 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $true )
    | ( $false = $true )
    | ~ spl12_14
    | ~ spl12_162 ),
    inference(forward_demodulation,[status(thm)],[f10464,f1967]) ).

thf(f10464,plain,
    ( ( ( sK11 @ ( sK18 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $true )
    | ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $true )
    | ~ spl12_14 ),
    inference(subsumption_resolution,[status(thm)],[f10411,f149]) ).

thf(f10411,plain,
    ( ( ( sP0 @ sK6 @ sK11 )
     != $true )
    | ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $true )
    | ( ( sK11 @ ( sK18 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $true )
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[status(thm)],[f10336]) ).

thf(f10336,plain,
    ( ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $true )
    | ( ( sK11 @ ( sK18 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $true )
    | ( ( sP0 @ sK6 @ sK11 )
     != $true )
    | ( $true != $true )
    | ~ spl12_14 ),
    inference(superposition,[status(thm)],[f25,f7342]) ).

thf(f7342,plain,
    ( ! [X0: a > a > $o] :
        ( ( $true
          = ( X0 @ ( sK1 @ sK6 @ sK11 ) @ ( sK2 @ sK6 @ sK11 ) ) )
        | ( ( X0 @ ( sK18 @ X0 ) @ ( sK16 @ X0 ) )
          = $true )
        | ( ( sK11 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $true ) )
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[status(thm)],[f7309]) ).

thf(f7309,plain,
    ( ! [X0: a > a > $o] :
        ( ( ( X0 @ ( sK18 @ X0 ) @ ( sK16 @ X0 ) )
          = $true )
        | ( ( sK11 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $true )
        | ( $true
          = ( X0 @ ( sK1 @ sK6 @ sK11 ) @ ( sK2 @ sK6 @ sK11 ) ) )
        | ( $false = $true ) )
    | ~ spl12_14 ),
    inference(superposition,[status(thm)],[f430,f3666]) ).

thf(f3666,plain,
    ( ! [X2: a,X0: a > a > $o,X1: a] :
        ( ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( X0 @ ( sK18 @ X0 ) @ ( sK16 @ X0 ) )
          = $true )
        | ( ( sK11 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $true )
        | ( ( X0 @ X1 @ X2 )
          = $true ) )
    | ~ spl12_14 ),
    inference(subsumption_resolution,[status(thm)],[f3663,f262]) ).

thf(f3663,plain,
    ( ! [X2: a,X0: a > a > $o,X1: a] :
        ( ( ( sK6 @ ( sK4 @ sK6 @ sK11 ) )
         != $true )
        | ( ( X0 @ X1 @ X2 )
          = $true )
        | ( ( sK11 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $true )
        | ( ( X0 @ ( sK18 @ X0 ) @ ( sK16 @ X0 ) )
          = $true )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) ) )
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[status(thm)],[f3660]) ).

thf(f3660,plain,
    ( ! [X2: a,X0: a > a > $o,X1: a] :
        ( ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( X0 @ ( sK18 @ X0 ) @ ( sK16 @ X0 ) )
          = $true )
        | ( ( sK6 @ ( sK4 @ sK6 @ sK11 ) )
         != $true )
        | ( ( X0 @ X1 @ X2 )
          = $true )
        | ( $true != $true )
        | ( ( sK11 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $true ) )
    | ~ spl12_14 ),
    inference(superposition,[status(thm)],[f27,f1239]) ).

thf(f1239,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( ( sK4 @ sK6 @ sK11 @ ( sK19 @ X3 ) @ ( sK15 @ X3 ) )
          = $true )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( X3 @ X1 @ X2 )
          = $true )
        | ( ( X3 @ ( sK18 @ X3 ) @ ( sK16 @ X3 ) )
          = $true ) )
    | ~ spl12_14 ),
    inference(binary_proxy_clausification,[status(thm)],[f1237]) ).

thf(f10479,plain,
    ( spl12_161
    | ~ spl12_14
    | ~ spl12_162 ),
    inference(avatar_split_clause,[status(thm)],[f10478,f1965,f147,f1961]) ).

thf(f1961,definition,
    ( spl12_161
  <=> ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl12_161])],[avatar_definition]) ).

thf(f10478,plain,
    ( ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $false )
    | ~ spl12_14
    | ~ spl12_162 ),
    inference(trivial_inequality_removal,[status(thm)],[f10477]) ).

thf(f10477,plain,
    ( ( $false = $true )
    | ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $false )
    | ~ spl12_14
    | ~ spl12_162 ),
    inference(forward_demodulation,[status(thm)],[f10476,f1967]) ).

thf(f10476,plain,
    ( ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $false )
    | ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $true )
    | ~ spl12_14 ),
    inference(subsumption_resolution,[status(thm)],[f8246,f149]) ).

thf(f8246,plain,
    ( ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $false )
    | ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $true )
    | ( ( sP0 @ sK6 @ sK11 )
     != $true )
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[status(thm)],[f8161]) ).

thf(f8161,plain,
    ( ( ( sP0 @ sK6 @ sK11 )
     != $true )
    | ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $false )
    | ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $true )
    | ( $true != $true )
    | ~ spl12_14 ),
    inference(superposition,[status(thm)],[f25,f2727]) ).

thf(f2727,plain,
    ( ! [X0: a > a > $o] :
        ( ( $true
          = ( X0 @ ( sK1 @ sK6 @ sK11 ) @ ( sK2 @ sK6 @ sK11 ) ) )
        | ( ( sK11 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $true )
        | ( ( X0 @ ( sK17 @ X0 ) @ ( sK16 @ X0 ) )
          = $false ) )
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[status(thm)],[f2709]) ).

thf(f2709,plain,
    ( ! [X0: a > a > $o] :
        ( ( $false = $true )
        | ( ( X0 @ ( sK17 @ X0 ) @ ( sK16 @ X0 ) )
          = $false )
        | ( ( sK11 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $true )
        | ( $true
          = ( X0 @ ( sK1 @ sK6 @ sK11 ) @ ( sK2 @ sK6 @ sK11 ) ) ) )
    | ~ spl12_14 ),
    inference(superposition,[status(thm)],[f430,f2342]) ).

thf(f2342,plain,
    ( ! [X2: a,X0: a > a > $o,X1: a] :
        ( ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( sK11 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $true )
        | ( ( X0 @ ( sK17 @ X0 ) @ ( sK16 @ X0 ) )
          = $false )
        | ( ( X0 @ X1 @ X2 )
          = $true ) )
    | ~ spl12_14 ),
    inference(subsumption_resolution,[status(thm)],[f2331,f262]) ).

thf(f2331,plain,
    ( ! [X2: a,X0: a > a > $o,X1: a] :
        ( ( ( X0 @ X1 @ X2 )
          = $true )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( sK6 @ ( sK4 @ sK6 @ sK11 ) )
         != $true )
        | ( ( sK11 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $true )
        | ( ( X0 @ ( sK17 @ X0 ) @ ( sK16 @ X0 ) )
          = $false ) )
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[status(thm)],[f2329]) ).

thf(f2329,plain,
    ( ! [X2: a,X0: a > a > $o,X1: a] :
        ( ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( $true != $true )
        | ( ( X0 @ ( sK17 @ X0 ) @ ( sK16 @ X0 ) )
          = $false )
        | ( ( sK11 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $true )
        | ( ( sK6 @ ( sK4 @ sK6 @ sK11 ) )
         != $true )
        | ( ( X0 @ X1 @ X2 )
          = $true ) )
    | ~ spl12_14 ),
    inference(superposition,[status(thm)],[f27,f1236]) ).

thf(f1236,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( ( sK4 @ sK6 @ sK11 @ ( sK19 @ X3 ) @ ( sK15 @ X3 ) )
          = $true )
        | ( ( X3 @ X1 @ X2 )
          = $true )
        | ( ( X3 @ ( sK17 @ X3 ) @ ( sK16 @ X3 ) )
          = $false )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) ) )
    | ~ spl12_14 ),
    inference(binary_proxy_clausification,[status(thm)],[f1235]) ).

thf(f8274,plain,
    ( ~ spl12_161
    | ~ spl12_488
    | ~ spl12_523 ),
    inference(avatar_contradiction_clause,[status(thm)],[f8273]) ).

thf(f8273,plain,
    ( $false
    | ~ spl12_161
    | ~ spl12_488
    | ~ spl12_523 ),
    inference(trivial_inequality_removal,[status(thm)],[f8272]) ).

thf(f8272,plain,
    ( ( $false = $true )
    | ~ spl12_161
    | ~ spl12_488
    | ~ spl12_523 ),
    inference(forward_demodulation,[status(thm)],[f8271,f1963]) ).

thf(f1963,plain,
    ( ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $false )
    | ~ spl12_161 ),
    inference(avatar_component_clause,[status(thm)],[f1961]) ).

thf(f8271,plain,
    ( ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $true )
    | ~ spl12_488
    | ~ spl12_523 ),
    inference(trivial_inequality_removal,[status(thm)],[f8270]) ).

thf(f8270,plain,
    ( ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $true )
    | ( $true != $true )
    | ~ spl12_488
    | ~ spl12_523 ),
    inference(superposition,[status(thm)],[f8126,f7698]) ).

thf(f7698,plain,
    ( ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK18 @ sK11 ) )
      = $true )
    | ~ spl12_488 ),
    inference(avatar_component_clause,[status(thm)],[f7696]) ).

thf(f8126,plain,
    ( ! [X0: a] :
        ( ( ( sK11 @ X0 @ ( sK18 @ sK11 ) )
         != $true )
        | ( ( sK11 @ X0 @ ( sK16 @ sK11 ) )
          = $true ) )
    | ~ spl12_523 ),
    inference(trivial_inequality_removal,[status(thm)],[f8124]) ).

thf(f8124,plain,
    ( ! [X0: a] :
        ( ( ( sK11 @ X0 @ ( sK16 @ sK11 ) )
          = $true )
        | ( $true != $true )
        | ( ( sK11 @ X0 @ ( sK18 @ sK11 ) )
         != $true ) )
    | ~ spl12_523 ),
    inference(superposition,[status(thm)],[f28,f8101]) ).

thf(f8101,plain,
    ( ( ( sK11 @ ( sK18 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $true )
    | ~ spl12_523 ),
    inference(avatar_component_clause,[status(thm)],[f8099]) ).

thf(f28,plain,
    ! [X10: a,X8: a,X9: a] :
      ( ( $true
       != ( sK11 @ X9 @ X8 ) )
      | ( ( sK11 @ X10 @ X9 )
       != $true )
      | ( ( sK11 @ X10 @ X8 )
        = $true ) ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

thf(f8120,plain,
    ( spl12_162
    | spl12_523
    | ~ spl12_14 ),
    inference(avatar_split_clause,[status(thm)],[f8119,f147,f8099,f1965]) ).

thf(f8119,plain,
    ( ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $false )
    | ( ( sK11 @ ( sK18 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $true )
    | ~ spl12_14 ),
    inference(subsumption_resolution,[status(thm)],[f8024,f149]) ).

thf(f8024,plain,
    ( ( ( sP0 @ sK6 @ sK11 )
     != $true )
    | ( ( sK11 @ ( sK18 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $true )
    | ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $false )
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[status(thm)],[f7977]) ).

thf(f7977,plain,
    ( ( ( sP0 @ sK6 @ sK11 )
     != $true )
    | ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $false )
    | ( $true != $true )
    | ( ( sK11 @ ( sK18 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $true )
    | ~ spl12_14 ),
    inference(superposition,[status(thm)],[f25,f1837]) ).

thf(f1837,plain,
    ( ! [X0: a > a > $o] :
        ( ( $true
          = ( X0 @ ( sK1 @ sK6 @ sK11 ) @ ( sK2 @ sK6 @ sK11 ) ) )
        | ( ( X0 @ ( sK18 @ X0 ) @ ( sK16 @ X0 ) )
          = $true )
        | ( ( X0 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $false ) )
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[status(thm)],[f1817]) ).

thf(f1817,plain,
    ( ! [X0: a > a > $o] :
        ( ( $false = $true )
        | ( $true
          = ( X0 @ ( sK1 @ sK6 @ sK11 ) @ ( sK2 @ sK6 @ sK11 ) ) )
        | ( ( X0 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $false )
        | ( ( X0 @ ( sK18 @ X0 ) @ ( sK16 @ X0 ) )
          = $true ) )
    | ~ spl12_14 ),
    inference(superposition,[status(thm)],[f430,f1243]) ).

thf(f1243,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( X3 @ ( sK19 @ X3 ) @ ( sK15 @ X3 ) )
          = $false )
        | ( ( X3 @ ( sK18 @ X3 ) @ ( sK16 @ X3 ) )
          = $true )
        | ( ( X3 @ X1 @ X2 )
          = $true ) )
    | ~ spl12_14 ),
    inference(binary_proxy_clausification,[status(thm)],[f1241]) ).

thf(f1241,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( X3 @ ( sK19 @ X3 ) @ ( sK15 @ X3 ) )
          = $false )
        | ( ( X3 @ X1 @ X2 )
          = $true )
        | ( ( ( X3 @ ( sK18 @ X3 ) @ ( sK16 @ X3 ) )
            & ( X3 @ ( sK17 @ X3 ) @ ( sK18 @ X3 ) ) )
          = $true ) )
    | ~ spl12_14 ),
    inference(binary_proxy_clausification,[status(thm)],[f1234]) ).

thf(f1234,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( ( ( ( X3 @ ( sK18 @ X3 ) @ ( sK16 @ X3 ) )
              & ( X3 @ ( sK17 @ X3 ) @ ( sK18 @ X3 ) ) )
           => ( X3 @ ( sK17 @ X3 ) @ ( sK16 @ X3 ) ) )
          = $false )
        | ( ( X3 @ X1 @ X2 )
          = $true )
        | ( ( X3 @ ( sK19 @ X3 ) @ ( sK15 @ X3 ) )
          = $false )
        | ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) ) )
    | ~ spl12_14 ),
    inference(binary_proxy_clausification,[status(thm)],[f1233]) ).

thf(f7699,plain,
    ( spl12_488
    | spl12_162
    | ~ spl12_14 ),
    inference(avatar_split_clause,[status(thm)],[f7694,f147,f1965,f7696]) ).

thf(f7694,plain,
    ( ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $false )
    | ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK18 @ sK11 ) )
      = $true )
    | ~ spl12_14 ),
    inference(subsumption_resolution,[status(thm)],[f7674,f149]) ).

thf(f7674,plain,
    ( ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $false )
    | ( ( sP0 @ sK6 @ sK11 )
     != $true )
    | ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK18 @ sK11 ) )
      = $true )
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[status(thm)],[f7575]) ).

thf(f7575,plain,
    ( ( $true != $true )
    | ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK18 @ sK11 ) )
      = $true )
    | ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $false )
    | ( ( sP0 @ sK6 @ sK11 )
     != $true )
    | ~ spl12_14 ),
    inference(superposition,[status(thm)],[f25,f1804]) ).

thf(f1804,plain,
    ( ! [X0: a > a > $o] :
        ( ( $true
          = ( X0 @ ( sK1 @ sK6 @ sK11 ) @ ( sK2 @ sK6 @ sK11 ) ) )
        | ( ( X0 @ ( sK17 @ X0 ) @ ( sK18 @ X0 ) )
          = $true )
        | ( ( X0 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $false ) )
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[status(thm)],[f1778]) ).

thf(f1778,plain,
    ( ! [X0: a > a > $o] :
        ( ( ( X0 @ ( sK17 @ X0 ) @ ( sK18 @ X0 ) )
          = $true )
        | ( ( X0 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $false )
        | ( $true
          = ( X0 @ ( sK1 @ sK6 @ sK11 ) @ ( sK2 @ sK6 @ sK11 ) ) )
        | ( $false = $true ) )
    | ~ spl12_14 ),
    inference(superposition,[status(thm)],[f1242,f430]) ).

thf(f1242,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( X3 @ X1 @ X2 )
          = $true )
        | ( ( X3 @ ( sK19 @ X3 ) @ ( sK15 @ X3 ) )
          = $false )
        | ( ( X3 @ ( sK17 @ X3 ) @ ( sK18 @ X3 ) )
          = $true ) )
    | ~ spl12_14 ),
    inference(binary_proxy_clausification,[status(thm)],[f1241]) ).

thf(f1973,plain,
    ( spl12_162
    | spl12_161
    | ~ spl12_14 ),
    inference(avatar_split_clause,[status(thm)],[f1972,f147,f1961,f1965]) ).

thf(f1972,plain,
    ( ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $false )
    | ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $false )
    | ~ spl12_14 ),
    inference(subsumption_resolution,[status(thm)],[f1887,f149]) ).

thf(f1887,plain,
    ( ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $false )
    | ( ( sP0 @ sK6 @ sK11 )
     != $true )
    | ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $false )
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[status(thm)],[f1876]) ).

thf(f1876,plain,
    ( ( ( sK11 @ ( sK19 @ sK11 ) @ ( sK15 @ sK11 ) )
      = $false )
    | ( ( sK11 @ ( sK17 @ sK11 ) @ ( sK16 @ sK11 ) )
      = $false )
    | ( ( sP0 @ sK6 @ sK11 )
     != $true )
    | ( $true != $true )
    | ~ spl12_14 ),
    inference(superposition,[status(thm)],[f25,f1729]) ).

thf(f1729,plain,
    ( ! [X0: a > a > $o] :
        ( ( $true
          = ( X0 @ ( sK1 @ sK6 @ sK11 ) @ ( sK2 @ sK6 @ sK11 ) ) )
        | ( ( X0 @ ( sK17 @ X0 ) @ ( sK16 @ X0 ) )
          = $false )
        | ( ( X0 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $false ) )
    | ~ spl12_14 ),
    inference(trivial_inequality_removal,[status(thm)],[f1713]) ).

thf(f1713,plain,
    ( ! [X0: a > a > $o] :
        ( ( ( X0 @ ( sK19 @ X0 ) @ ( sK15 @ X0 ) )
          = $false )
        | ( $false = $true )
        | ( ( X0 @ ( sK17 @ X0 ) @ ( sK16 @ X0 ) )
          = $false )
        | ( $true
          = ( X0 @ ( sK1 @ sK6 @ sK11 ) @ ( sK2 @ sK6 @ sK11 ) ) ) )
    | ~ spl12_14 ),
    inference(superposition,[status(thm)],[f430,f1240]) ).

thf(f1240,plain,
    ( ! [X2: a,X3: a > a > $o,X1: a] :
        ( ( $false
          = ( sK3 @ sK6 @ sK11 @ X1 @ X2 ) )
        | ( ( X3 @ X1 @ X2 )
          = $true )
        | ( ( X3 @ ( sK19 @ X3 ) @ ( sK15 @ X3 ) )
          = $false )
        | ( ( X3 @ ( sK17 @ X3 ) @ ( sK16 @ X3 ) )
          = $false ) )
    | ~ spl12_14 ),
    inference(binary_proxy_clausification,[status(thm)],[f1234]) ).

thf(f260,plain,
    ( spl12_14
    | ~ spl12_15 ),
    inference(avatar_contradiction_clause,[status(thm)],[f259]) ).

thf(f259,plain,
    ( $false
    | spl12_14
    | ~ spl12_15 ),
    inference(subsumption_resolution,[status(thm)],[f258,f148]) ).

thf(f148,plain,
    ( ( ( sP0 @ sK6 @ sK11 )
     != $true )
    | spl12_14 ),
    inference(avatar_component_clause,[status(thm)],[f147]) ).

thf(f258,plain,
    ( ( ( sP0 @ sK6 @ sK11 )
      = $true )
    | spl12_14
    | ~ spl12_15 ),
    inference(subsumption_resolution,[status(thm)],[f257,f26]) ).

thf(f26,plain,
    ( $true
   != ( sK11 @ sK7 @ sK5 ) ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

thf(f257,plain,
    ( ( $true
      = ( sK11 @ sK7 @ sK5 ) )
    | ( ( sP0 @ sK6 @ sK11 )
      = $true )
    | spl12_14
    | ~ spl12_15 ),
    inference(trivial_inequality_removal,[status(thm)],[f254]) ).

thf(f254,plain,
    ( ( $true
      = ( sK11 @ sK7 @ sK5 ) )
    | ( $true != $true )
    | ( ( sP0 @ sK6 @ sK11 )
      = $true )
    | spl12_14
    | ~ spl12_15 ),
    inference(superposition,[status(thm)],[f29,f212]) ).

thf(f212,plain,
    ( ( ( sK11 @ ( sK8 @ sK11 ) @ ( sK9 @ sK11 ) )
      = $true )
    | spl12_14
    | ~ spl12_15 ),
    inference(subsumption_resolution,[status(thm)],[f211,f26]) ).

thf(f211,plain,
    ( ( $true
      = ( sK11 @ sK7 @ sK5 ) )
    | ( ( sK11 @ ( sK8 @ sK11 ) @ ( sK9 @ sK11 ) )
      = $true )
    | spl12_14
    | ~ spl12_15 ),
    inference(subsumption_resolution,[status(thm)],[f210,f148]) ).

thf(f210,plain,
    ( ( ( sP0 @ sK6 @ sK11 )
      = $true )
    | ( $true
      = ( sK11 @ sK7 @ sK5 ) )
    | ( ( sK11 @ ( sK8 @ sK11 ) @ ( sK9 @ sK11 ) )
      = $true )
    | ~ spl12_15 ),
    inference(trivial_inequality_removal,[status(thm)],[f209]) ).

thf(f209,plain,
    ( ( $true != $true )
    | ( ( sK11 @ ( sK8 @ sK11 ) @ ( sK9 @ sK11 ) )
      = $true )
    | ( ( sP0 @ sK6 @ sK11 )
      = $true )
    | ( $true
      = ( sK11 @ sK7 @ sK5 ) )
    | ~ spl12_15 ),
    inference(superposition,[status(thm)],[f179,f30]) ).

thf(f30,plain,
    ! [X3: a > a > $o] :
      ( ( ( X3 @ ( sK8 @ X3 ) @ ( sK10 @ X3 ) )
        = $true )
      | ( ( sP0 @ sK6 @ X3 )
        = $true )
      | ( $true
        = ( X3 @ sK7 @ sK5 ) ) ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

thf(f179,plain,
    ( ! [X0: a] :
        ( ( ( sK11 @ X0 @ ( sK10 @ sK11 ) )
         != $true )
        | ( ( sK11 @ X0 @ ( sK9 @ sK11 ) )
          = $true ) )
    | ~ spl12_15 ),
    inference(avatar_component_clause,[status(thm)],[f178]) ).

thf(f178,definition,
    ( spl12_15
  <=> ! [X0: a] :
        ( ( ( sK11 @ X0 @ ( sK10 @ sK11 ) )
         != $true )
        | ( ( sK11 @ X0 @ ( sK9 @ sK11 ) )
          = $true ) ) ),
    introduced(definition,[new_symbols(naming,[spl12_15])],[avatar_definition]) ).

thf(f29,plain,
    ! [X3: a > a > $o] :
      ( ( ( X3 @ ( sK8 @ X3 ) @ ( sK9 @ X3 ) )
       != $true )
      | ( $true
        = ( X3 @ sK7 @ sK5 ) )
      | ( ( sP0 @ sK6 @ X3 )
        = $true ) ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

thf(f180,plain,
    ( spl12_15
    | spl12_14 ),
    inference(avatar_split_clause,[status(thm)],[f176,f147,f178]) ).

thf(f176,plain,
    ! [X0: a] :
      ( ( ( sP0 @ sK6 @ sK11 )
        = $true )
      | ( ( sK11 @ X0 @ ( sK10 @ sK11 ) )
       != $true )
      | ( ( sK11 @ X0 @ ( sK9 @ sK11 ) )
        = $true ) ),
    inference(subsumption_resolution,[status(thm)],[f171,f26]) ).

thf(f171,plain,
    ! [X0: a] :
      ( ( ( sK11 @ X0 @ ( sK10 @ sK11 ) )
       != $true )
      | ( ( sK11 @ X0 @ ( sK9 @ sK11 ) )
        = $true )
      | ( $true
        = ( sK11 @ sK7 @ sK5 ) )
      | ( ( sP0 @ sK6 @ sK11 )
        = $true ) ),
    inference(trivial_inequality_removal,[status(thm)],[f157]) ).

thf(f157,plain,
    ! [X0: a] :
      ( ( $true != $true )
      | ( ( sK11 @ X0 @ ( sK10 @ sK11 ) )
       != $true )
      | ( ( sK11 @ X0 @ ( sK9 @ sK11 ) )
        = $true )
      | ( ( sP0 @ sK6 @ sK11 )
        = $true )
      | ( $true
        = ( sK11 @ sK7 @ sK5 ) ) ),
    inference(superposition,[status(thm)],[f28,f31]) ).

thf(f31,plain,
    ! [X3: a > a > $o] :
      ( ( ( X3 @ ( sK10 @ X3 ) @ ( sK9 @ X3 ) )
        = $true )
      | ( ( sP0 @ sK6 @ X3 )
        = $true )
      | ( $true
        = ( X3 @ sK7 @ sK5 ) ) ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV128^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.34  % Computer : n016.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Feb 24 12:41:21 EST 2026
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.28/0.46  ---- Original DTF file ---
% 0.28/0.47  thf(spec,logic,$$dhol).
% 0.28/0.47  %------------------------------------------------------------------------------
% 0.28/0.47  % File     : SEV128^5 : TPTP v9.2.1. Released v4.0.0.
% 0.28/0.47  % Domain   : Set Theory (Relations)
% 0.28/0.47  % Problem  : TPS problem from SETS-OF-RELNS-THMS
% 0.28/0.47  % Version  : Especial.
% 0.28/0.47  % English  :
% 0.28/0.47  
% 0.28/0.47  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.28/0.47  % Source   : [Bro09]
% 0.28/0.47  % Names    : tps_1138 [Bro09]
% 0.28/0.47  
% 0.28/0.47  % Status   : Theorem
% 0.28/0.47  % Rating   : 0.33 v9.1.0, 0.38 v9.0.0, 0.50 v8.2.0, 0.54 v8.1.0, 0.55 v7.5.0, 0.71 v7.4.0, 0.56 v7.2.0, 0.50 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.29 v6.1.0, 0.43 v5.5.0, 0.33 v5.4.0, 0.40 v5.2.0, 0.60 v5.0.0, 0.40 v4.1.0, 0.67 v4.0.0
% 0.28/0.47  % Syntax   : Number of formulae    :    2 (   1 unt;   1 typ;   0 def)
% 0.28/0.47  %            Number of atoms       :    1 (   1 equ;   0 cnn)
% 0.28/0.47  %            Maximal formula atoms :    1 (   1 avg)
% 0.28/0.47  %            Number of connectives :   57 (   0   ~;   0   |;   9   &;  38   @)
% 0.28/0.47  %                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
% 0.28/0.47  %            Maximal formula depth :   16 (  16 avg)
% 0.28/0.47  %            Number of types       :    2 (   1 usr)
% 0.28/0.47  %            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
% 0.28/0.47  %            Number of symbols     :    1 (   0 usr;   0 con; 2-2 aty)
% 0.28/0.47  %            Number of variables   :   26 (   2   ^;  21   !;   3   ?;  26   :)
% 0.28/0.47  % SPC      : TH0_THM_EQU_NAR
% 0.28/0.47  
% 0.28/0.47  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.28/0.47  %            project in the Department of Mathematical Sciences at Carnegie
% 0.28/0.47  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.28/0.47  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.28/0.47  %------------------------------------------------------------------------------
% 0.28/0.47  thf(a_type,type,
% 0.28/0.47      a: $tType ).
% 0.28/0.47  
% 0.28/0.47  thf(cTHM253_B_pme,conjecture,
% 0.28/0.47      ! [S: ( a > a > $o ) > $o,Xx: a,Xy: a] :
% 0.28/0.47        ( ! [Xp1: a > a > $o] :
% 0.28/0.47            ( ( ! [Xx0: a,Xy0: a] :
% 0.28/0.47                  ( ? [R: a > a > $o] :
% 0.28/0.47                      ( ? [Q: a > a > $o] :
% 0.28/0.47                          ( ( S @ Q )
% 0.28/0.47                          & ( R
% 0.28/0.47                            = ( ^ [Xx1: a,Xy1: a] :
% 0.28/0.47                                ! [Xp10: a > a > $o] :
% 0.28/0.47                                  ( ( ! [Xx2: a,Xy2: a] :
% 0.28/0.47                                        ( ( Q @ Xx2 @ Xy2 )
% 0.28/0.47                                       => ( Xp10 @ Xx2 @ Xy2 ) )
% 0.28/0.47                                    & ! [Xx2: a,Xy2: a,Xz: a] :
% 0.28/0.47                                        ( ( ( Xp10 @ Xx2 @ Xy2 )
% 0.28/0.47                                          & ( Xp10 @ Xy2 @ Xz ) )
% 0.28/0.47                                       => ( Xp10 @ Xx2 @ Xz ) ) )
% 0.28/0.47                                 => ( Xp10 @ Xx1 @ Xy1 ) ) ) ) )
% 0.28/0.47                      & ( R @ Xx0 @ Xy0 ) )
% 0.28/0.47                 => ( Xp1 @ Xx0 @ Xy0 ) )
% 0.28/0.47              & ! [Xx0: a,Xy0: a,Xz: a] :
% 0.28/0.47                  ( ( ( Xp1 @ Xx0 @ Xy0 )
% 0.28/0.47                    & ( Xp1 @ Xy0 @ Xz ) )
% 0.28/0.47                 => ( Xp1 @ Xx0 @ Xz ) ) )
% 0.28/0.47           => ( Xp1 @ Xx @ Xy ) )
% 0.28/0.47       => ! [Xp1: a > a > $o] :
% 0.28/0.47            ( ( ! [Xx0: a,Xy0: a] :
% 0.28/0.47                  ( ? [R: a > a > $o] :
% 0.28/0.47                      ( ( S @ R )
% 0.28/0.47                      & ( R @ Xx0 @ Xy0 ) )
% 0.28/0.47                 => ( Xp1 @ Xx0 @ Xy0 ) )
% 0.28/0.47              & ! [Xx0: a,Xy0: a,Xz: a] :
% 0.28/0.47                  ( ( ( Xp1 @ Xx0 @ Xy0 )
% 0.28/0.47                    & ( Xp1 @ Xy0 @ Xz ) )
% 0.28/0.47                 => ( Xp1 @ Xx0 @ Xz ) ) )
% 0.28/0.47           => ( Xp1 @ Xx @ Xy ) ) ) ).
% 0.28/0.47  
% 0.28/0.47  %------------------------------------------------------------------------------
% 0.28/0.47  ------------------------
% 1.51/1.26  ---- Embedded in THF ---
% 1.51/1.26  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.51/1.26  %%% Generated on Tue Feb 24 12:41:22 EST 2026
% 1.51/1.26  %%% using '$$dhol' embedding, version 1.3.0.
% 1.51/1.26  %%% Logic specification used:
% 1.51/1.26  %%% thf(spec, logic, $$dhol).
% 1.51/1.26  
% 1.51/1.26  % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.2dK0iQh3GD/DTF2DTF25817.p
% See solution above
% 1.51/1.26  ------------------------
% 1.51/1.27  ---- Cleaned THF ---
% 1.51/1.27  thf(a_type,type,
% 1.51/1.27      a: $tType ).
% 1.51/1.27  
% 1.51/1.27  thf(cTHM253_B_pme,conjecture,
% 1.51/1.27      ! [S: ( a > a > $o ) > $o,Xx: a,Xy: a] :
% 1.51/1.27        ( ! [Xp1: a > a > $o] :
% 1.51/1.27            ( ( ! [Xx0: a,Xy0: a] :
% 1.51/1.27                  ( ? [R: a > a > $o] :
% 1.51/1.27                      ( ? [Q: a > a > $o] :
% 1.51/1.27                          ( ( S @ Q )
% 1.51/1.27                          & ( R
% 1.51/1.27                            = ( ^ [Xx1: a,Xy1: a] :
% 1.51/1.27                                ! [Xp10: a > a > $o] :
% 1.51/1.27                                  ( ( ! [Xx2: a,Xy2: a] :
% 1.51/1.27                                        ( ( Q @ Xx2 @ Xy2 )
% 1.51/1.27                                       => ( Xp10 @ Xx2 @ Xy2 ) )
% 1.51/1.27                                    & ! [Xx2: a,Xy2: a,Xz: a] :
% 1.51/1.27                                        ( ( ( Xp10 @ Xx2 @ Xy2 )
% 1.51/1.27                                          & ( Xp10 @ Xy2 @ Xz ) )
% 1.51/1.27                                       => ( Xp10 @ Xx2 @ Xz ) ) )
% 1.51/1.27                                 => ( Xp10 @ Xx1 @ Xy1 ) ) ) ) )
% 1.51/1.27                      & ( R @ Xx0 @ Xy0 ) )
% 1.51/1.27                 => ( Xp1 @ Xx0 @ Xy0 ) )
% 1.51/1.27              & ! [Xx0: a,Xy0: a,Xz: a] :
% 1.51/1.27                  ( ( ( Xp1 @ Xx0 @ Xy0 )
% 1.51/1.27                    & ( Xp1 @ Xy0 @ Xz ) )
% 1.51/1.27                 => ( Xp1 @ Xx0 @ Xz ) ) )
% 1.51/1.27           => ( Xp1 @ Xx @ Xy ) )
% 1.51/1.27       => ! [Xp1: a > a > $o] :
% 1.51/1.27            ( ( ! [Xx0: a,Xy0: a] :
% 1.51/1.27                  ( ? [R: a > a > $o] :
% 1.51/1.27                      ( ( S @ R )
% 1.51/1.27                      & ( R @ Xx0 @ Xy0 ) )
% 1.51/1.27                 => ( Xp1 @ Xx0 @ Xy0 ) )
% 1.51/1.27              & ! [Xx0: a,Xy0: a,Xz: a] :
% 1.51/1.27                  ( ( ( Xp1 @ Xx0 @ Xy0 )
% 1.51/1.27                    & ( Xp1 @ Xy0 @ Xz ) )
% 1.51/1.27                 => ( Xp1 @ Xx0 @ Xz ) ) )
% 1.51/1.27           => ( Xp1 @ Xx @ Xy ) ) ) ).
% 1.51/1.27  ------------------------
% 1.51/1.29  % (26096)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_25817 for (2999ds/275Mi)
% 1.51/1.29  % (26091)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_25817 for (2999ds/183Mi)
% 1.51/1.29  % (26092)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 DTF2THF_25817 for (2999ds/4Mi)
% 1.51/1.29  % (26094)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_25817 for (2999ds/2Mi)
% 1.51/1.29  % (26093)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 DTF2THF_25817 for (2999ds/27Mi)
% 1.51/1.29  % (26095)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_25817 for (2999ds/2Mi)
% 1.51/1.29  % (26097)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_25817 for (2999ds/18Mi)
% 1.51/1.30  % (26094)Instruction limit reached!
% 1.51/1.30  % (26094)------------------------------
% 1.51/1.30  % (26094)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.30  % (26094)Termination reason: Unknown
% 1.51/1.30  % (26094)Termination phase: Property scanning
% 1.51/1.30  
% 1.51/1.30  % (26094)Memory used [KB]: 1023
% 1.51/1.30  % (26094)Time elapsed: 0.003 s
% 1.51/1.30  % (26094)Instructions burned: 2 (million)
% 1.51/1.30  % (26094)------------------------------
% 1.51/1.30  % (26094)------------------------------
% 1.51/1.30  % (26095)Instruction limit reached!
% 1.51/1.30  % (26095)------------------------------
% 1.51/1.30  % (26095)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.30  % (26095)Termination reason: Unknown
% 1.51/1.30  % (26095)Termination phase: shuffling
% 1.51/1.30  
% 1.51/1.30  % (26095)Memory used [KB]: 1023
% 1.51/1.30  % (26095)Time elapsed: 0.003 s
% 1.51/1.30  % (26095)Instructions burned: 2 (million)
% 1.51/1.30  % (26095)------------------------------
% 1.51/1.30  % (26095)------------------------------
% 1.65/1.30  % (26092)Instruction limit reached!
% 1.65/1.30  % (26092)------------------------------
% 1.65/1.30  % (26092)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.30  % (26092)Termination reason: Unknown
% 1.65/1.30  % (26092)Termination phase: Saturation
% 1.65/1.30  
% 1.65/1.30  % (26092)Memory used [KB]: 5500
% 1.65/1.30  % (26092)Time elapsed: 0.005 s
% 1.65/1.30  % (26092)Instructions burned: 5 (million)
% 1.65/1.30  % (26092)------------------------------
% 1.65/1.30  % (26092)------------------------------
% 1.65/1.31  % (26097)Instruction limit reached!
% 1.65/1.31  % (26097)------------------------------
% 1.65/1.31  % (26097)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.31  % (26097)Termination reason: Unknown
% 1.65/1.31  % (26097)Termination phase: Saturation
% 1.65/1.31  
% 1.65/1.31  % (26097)Memory used [KB]: 5628
% 1.65/1.31  % (26097)Time elapsed: 0.013 s
% 1.65/1.31  % (26097)Instructions burned: 18 (million)
% 1.65/1.31  % (26097)------------------------------
% 1.65/1.31  % (26097)------------------------------
% 1.65/1.31  % (26093)Instruction limit reached!
% 1.65/1.31  % (26093)------------------------------
% 1.65/1.31  % (26093)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.31  % (26093)Termination reason: Unknown
% 1.65/1.31  % (26093)Termination phase: Saturation
% 1.65/1.31  
% 1.65/1.31  % (26093)Memory used [KB]: 5628
% 1.65/1.31  % (26093)Time elapsed: 0.020 s
% 1.65/1.31  % (26093)Instructions burned: 27 (million)
% 1.65/1.31  % (26093)------------------------------
% 1.65/1.31  % (26093)------------------------------
% 1.65/1.31  % (26098)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_25817 for (2999ds/3Mi)
% 1.65/1.31  % (26099)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 DTF2THF_25817 for (2999ds/37Mi)
% 1.65/1.31  % (26100)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 DTF2THF_25817 for (2999ds/15Mi)
% 1.65/1.31  % (26098)Instruction limit reached!
% 1.65/1.31  % (26098)------------------------------
% 1.65/1.31  % (26098)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.31  % (26098)Termination reason: Unknown
% 1.65/1.31  % (26098)Termination phase: Property scanning
% 1.65/1.31  
% 1.65/1.31  % (26098)Memory used [KB]: 1023
% 1.65/1.31  % (26098)Time elapsed: 0.004 s
% 1.65/1.31  % (26098)Instructions burned: 4 (million)
% 1.65/1.31  % (26098)------------------------------
% 1.65/1.31  % (26098)------------------------------
% 1.65/1.32  % (26101)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_25817 for (2999ds/3Mi)
% 1.65/1.32  % (26100)Instruction limit reached!
% 1.65/1.32  % (26100)------------------------------
% 1.65/1.32  % (26100)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.32  % (26100)Termination reason: Unknown
% 1.65/1.32  % (26100)Termination phase: Saturation
% 1.65/1.32  
% 1.65/1.32  % (26100)Memory used [KB]: 5628
% 1.65/1.32  % (26100)Time elapsed: 0.012 s
% 1.65/1.32  % (26100)Instructions burned: 15 (million)
% 1.65/1.32  % (26100)------------------------------
% 1.65/1.32  % (26100)------------------------------
% 1.65/1.32  % (26101)Instruction limit reached!
% 1.65/1.32  % (26101)------------------------------
% 1.65/1.32  % (26101)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.32  % (26101)Termination reason: Unknown
% 1.65/1.32  % (26101)Termination phase: shuffling
% 1.65/1.32  
% 1.65/1.32  % (26101)Memory used [KB]: 1023
% 1.65/1.32  % (26101)Time elapsed: 0.004 s
% 1.65/1.32  % (26101)Instructions burned: 4 (million)
% 1.65/1.32  % (26101)------------------------------
% 1.65/1.32  % (26101)------------------------------
% 1.65/1.33  % (26102)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 DTF2THF_25817 for (2999ds/1041Mi)
% 1.65/1.33  % (26103)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_25817 for (2999ds/7Mi)
% 1.65/1.33  % (26099)Instruction limit reached!
% 1.65/1.33  % (26099)------------------------------
% 1.65/1.33  % (26099)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.33  % (26099)Termination reason: Unknown
% 1.65/1.33  % (26099)Termination phase: Saturation
% 1.65/1.33  
% 1.65/1.33  % (26099)Memory used [KB]: 5628
% 1.65/1.33  % (26099)Time elapsed: 0.023 s
% 1.65/1.33  % (26099)Instructions burned: 38 (million)
% 1.65/1.33  % (26099)------------------------------
% 1.65/1.33  % (26099)------------------------------
% 1.65/1.34  % (26103)Instruction limit reached!
% 1.65/1.34  % (26103)------------------------------
% 1.65/1.34  % (26103)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.34  % (26103)Termination reason: Unknown
% 1.65/1.34  % (26103)Termination phase: Saturation
% 1.65/1.34  
% 1.65/1.34  % (26103)Memory used [KB]: 1023
% 1.65/1.34  % (26103)Time elapsed: 0.005 s
% 1.65/1.34  % (26103)Instructions burned: 7 (million)
% 1.65/1.34  % (26103)------------------------------
% 1.65/1.34  % (26103)------------------------------
% 1.65/1.34  % (26104)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_25817 for (2999ds/16Mi)
% 1.65/1.34  % (26105)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 DTF2THF_25817 for (2999ds/3Mi)
% 1.65/1.34  % (26105)Instruction limit reached!
% 1.65/1.34  % (26105)------------------------------
% 1.65/1.34  % (26105)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.34  % (26105)Termination reason: Unknown
% 1.65/1.34  % (26105)Termination phase: Property scanning
% 1.65/1.34  
% 1.65/1.34  % (26105)Memory used [KB]: 1023
% 1.65/1.34  % (26105)Time elapsed: 0.004 s
% 1.65/1.34  % (26105)Instructions burned: 4 (million)
% 1.65/1.34  % (26105)------------------------------
% 1.65/1.34  % (26105)------------------------------
% 1.65/1.35  % (26107)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_25817 for (2999ds/7Mi)
% 1.65/1.35  % (26104)Instruction limit reached!
% 1.65/1.35  % (26104)------------------------------
% 1.65/1.35  % (26104)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.35  % (26104)Termination reason: Unknown
% 1.65/1.35  % (26104)Termination phase: Saturation
% 1.65/1.35  
% 1.65/1.35  % (26104)Memory used [KB]: 5628
% 1.65/1.35  % (26104)Time elapsed: 0.009 s
% 1.65/1.35  % (26104)Instructions burned: 18 (million)
% 1.65/1.35  % (26104)------------------------------
% 1.65/1.35  % (26104)------------------------------
% 1.65/1.35  % (26106)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 DTF2THF_25817 for (2999ds/3Mi)
% 1.65/1.35  % (26107)Instruction limit reached!
% 1.65/1.35  % (26107)------------------------------
% 1.65/1.35  % (26107)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.35  % (26107)Termination reason: Unknown
% 1.65/1.35  % (26107)Termination phase: Saturation
% 1.65/1.35  
% 1.65/1.35  % (26107)Memory used [KB]: 5628
% 1.65/1.35  % (26107)Time elapsed: 0.005 s
% 1.65/1.35  % (26107)Instructions burned: 9 (million)
% 1.65/1.35  % (26107)------------------------------
% 1.65/1.35  % (26107)------------------------------
% 1.65/1.35  % (26106)Instruction limit reached!
% 1.65/1.35  % (26106)------------------------------
% 1.65/1.35  % (26106)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.35  % (26106)Termination reason: Unknown
% 1.65/1.35  % (26106)Termination phase: Property scanning
% 1.65/1.35  
% 1.65/1.35  % (26106)Memory used [KB]: 1023
% 1.65/1.35  % (26106)Time elapsed: 0.004 s
% 1.65/1.35  % (26106)Instructions burned: 4 (million)
% 1.65/1.35  % (26106)------------------------------
% 1.65/1.35  % (26106)------------------------------
% 1.65/1.36  % (26109)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_25817 for (2999ds/4Mi)
% 1.65/1.36  % (26109)Instruction limit reached!
% 1.65/1.36  % (26109)------------------------------
% 1.65/1.36  % (26109)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.36  % (26109)Termination reason: Unknown
% 1.65/1.36  % (26109)Termination phase: Saturation
% 1.65/1.36  
% 1.65/1.36  % (26109)Memory used [KB]: 5500
% 1.65/1.36  % (26109)Time elapsed: 0.003 s
% 1.65/1.36  % (26109)Instructions burned: 4 (million)
% 1.65/1.36  % (26109)------------------------------
% 1.65/1.36  % (26109)------------------------------
% 1.65/1.36  % (26110)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_25817 for (2999ds/18Mi)
% 1.65/1.36  % (26108)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_25817 for (2999ds/3Mi)
% 1.65/1.36  % (26108)Instruction limit reached!
% 1.65/1.36  % (26108)------------------------------
% 1.65/1.36  % (26108)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.36  % (26108)Termination reason: Unknown
% 1.65/1.36  % (26108)Termination phase: Property scanning
% 1.65/1.36  
% 1.65/1.36  % (26108)Memory used [KB]: 1023
% 1.65/1.36  % (26108)Time elapsed: 0.003 s
% 1.65/1.36  % (26108)Instructions burned: 3 (million)
% 1.65/1.36  % (26108)------------------------------
% 1.65/1.36  % (26108)------------------------------
% 1.65/1.36  % (26096)Refutation not found, non-redundant clauses discarded% (26096)------------------------------
% 1.65/1.36  % (26096)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.36  % (26096)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.65/1.36  
% 1.65/1.36  % (26096)Memory used [KB]: 6140
% 1.65/1.36  % (26096)Time elapsed: 0.079 s
% 1.65/1.36  % (26096)Instructions burned: 263 (million)
% 1.65/1.36  % (26096)------------------------------
% 1.65/1.36  % (26096)------------------------------
% 1.65/1.37  % (26110)Instruction limit reached!
% 1.65/1.37  % (26110)------------------------------
% 1.65/1.37  % (26110)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.37  % (26110)Termination reason: Unknown
% 1.65/1.37  % (26110)Termination phase: Saturation
% 1.65/1.37  
% 1.65/1.37  % (26110)Memory used [KB]: 5628
% 1.65/1.37  % (26110)Time elapsed: 0.009 s
% 1.65/1.37  % (26110)Instructions burned: 20 (million)
% 1.65/1.37  % (26110)------------------------------
% 1.65/1.37  % (26110)------------------------------
% 1.65/1.37  % (26111)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_25817 for (2999ds/710Mi)
% 1.65/1.37  % (26112)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_25817 for (2999ds/6Mi)
% 1.65/1.37  % (26112)Instruction limit reached!
% 1.65/1.37  % (26112)------------------------------
% 1.65/1.37  % (26112)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.37  % (26112)Termination reason: Unknown
% 1.65/1.37  % (26112)Termination phase: Saturation
% 1.65/1.37  
% 1.65/1.37  % (26112)Memory used [KB]: 5500
% 1.65/1.37  % (26112)Time elapsed: 0.004 s
% 1.65/1.37  % (26112)Instructions burned: 7 (million)
% 1.65/1.37  % (26112)------------------------------
% 1.65/1.37  % (26112)------------------------------
% 1.65/1.37  % (26114)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 DTF2THF_25817 for (2999ds/21Mi)
% 1.65/1.38  % (26113)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 DTF2THF_25817 for (2999ds/902Mi)
% 1.65/1.38  % (26115)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_25817 for (2999ds/5Mi)
% 1.65/1.38  % (26115)Instruction limit reached!
% 1.65/1.38  % (26115)------------------------------
% 1.65/1.38  % (26115)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.38  % (26115)Termination reason: Unknown
% 1.65/1.38  % (26115)Termination phase: Saturation
% 1.65/1.38  
% 1.65/1.38  % (26115)Memory used [KB]: 5500
% 1.65/1.38  % (26115)Time elapsed: 0.004 s
% 1.65/1.38  % (26115)Instructions burned: 7 (million)
% 1.65/1.38  % (26115)------------------------------
% 1.65/1.38  % (26115)------------------------------
% 1.65/1.38  % (26114)Instruction limit reached!
% 1.65/1.38  % (26114)------------------------------
% 1.65/1.38  % (26114)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.38  % (26114)Termination reason: Unknown
% 1.65/1.38  % (26114)Termination phase: Saturation
% 1.65/1.38  
% 1.65/1.38  % (26114)Memory used [KB]: 5756
% 1.65/1.38  % (26114)Time elapsed: 0.009 s
% 1.65/1.38  % (26114)Instructions burned: 23 (million)
% 1.65/1.38  % (26114)------------------------------
% 1.65/1.38  % (26114)------------------------------
% 1.65/1.38  % (26116)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 DTF2THF_25817 for (2999ds/6Mi)
% 1.65/1.39  % (26116)Instruction limit reached!
% 1.65/1.39  % (26116)------------------------------
% 1.65/1.39  % (26116)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.39  % (26116)Termination reason: Unknown
% 1.65/1.39  % (26116)Termination phase: Saturation
% 1.65/1.39  
% 1.65/1.39  % (26116)Memory used [KB]: 5500
% 1.65/1.39  % (26116)Time elapsed: 0.004 s
% 1.65/1.39  % (26116)Instructions burned: 8 (million)
% 1.65/1.39  % (26116)------------------------------
% 1.65/1.39  % (26116)------------------------------
% 1.65/1.39  % (26091)Instruction limit reached!
% 1.65/1.39  % (26091)------------------------------
% 1.65/1.39  % (26091)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.39  % (26091)Termination reason: Unknown
% 1.65/1.39  % (26091)Termination phase: Saturation
% 1.65/1.39  
% 1.65/1.39  % (26091)Memory used [KB]: 6652
% 1.65/1.39  % (26091)Time elapsed: 0.098 s
% 1.65/1.39  % (26091)Instructions burned: 184 (million)
% 1.65/1.39  % (26091)------------------------------
% 1.65/1.39  % (26091)------------------------------
% 1.65/1.39  % (26118)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 DTF2THF_25817 for (2999ds/779Mi)
% 1.65/1.39  % (26117)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_25817 for (2999ds/377Mi)
% 1.65/1.40  % (26119)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 DTF2THF_25817 for (2999ds/19Mi)
% 1.65/1.40  % (26119)Instruction limit reached!
% 1.65/1.40  % (26119)------------------------------
% 1.65/1.40  % (26119)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.40  % (26119)Termination reason: Unknown
% 1.65/1.40  % (26119)Termination phase: Saturation
% 1.65/1.40  
% 1.65/1.40  % (26119)Memory used [KB]: 5500
% 1.65/1.40  % (26119)Time elapsed: 0.008 s
% 1.65/1.40  % (26119)Instructions burned: 21 (million)
% 1.65/1.40  % (26119)------------------------------
% 1.65/1.40  % (26119)------------------------------
% 1.65/1.41  % (26120)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_25817 for (2998ds/879Mi)
% 1.65/1.41  % (26121)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_25817 for (2998ds/17Mi)
% 1.65/1.42  % (26121)Instruction limit reached!
% 1.65/1.42  % (26121)------------------------------
% 1.65/1.42  % (26121)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.42  % (26121)Termination reason: Unknown
% 1.65/1.42  % (26121)Termination phase: Saturation
% 1.65/1.42  
% 1.65/1.42  % (26121)Memory used [KB]: 5628
% 1.65/1.42  % (26121)Time elapsed: 0.008 s
% 1.65/1.42  % (26121)Instructions burned: 17 (million)
% 1.65/1.42  % (26121)------------------------------
% 1.65/1.42  % (26121)------------------------------
% 1.65/1.43  % (26122)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_25817 for (2998ds/3Mi)
% 1.65/1.43  % (26122)Instruction limit reached!
% 1.65/1.43  % (26122)------------------------------
% 1.65/1.43  % (26122)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.43  % (26122)Termination reason: Unknown
% 1.65/1.43  % (26122)Termination phase: shuffling
% 1.65/1.43  
% 1.65/1.43  % (26122)Memory used [KB]: 1023
% 1.65/1.43  % (26122)Time elapsed: 0.003 s
% 1.65/1.43  % (26122)Instructions burned: 4 (million)
% 1.65/1.43  % (26122)------------------------------
% 1.65/1.43  % (26122)------------------------------
% 1.65/1.44  % (26123)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_25817 for (2998ds/30Mi)
% 1.65/1.45  % (26123)Instruction limit reached!
% 1.65/1.45  % (26123)------------------------------
% 1.65/1.45  % (26123)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.45  % (26123)Termination reason: Unknown
% 1.65/1.45  % (26123)Termination phase: Saturation
% 1.65/1.45  
% 1.65/1.45  % (26123)Memory used [KB]: 5756
% 1.65/1.45  % (26123)Time elapsed: 0.012 s
% 1.65/1.45  % (26123)Instructions burned: 31 (million)
% 1.65/1.45  % (26123)------------------------------
% 1.65/1.45  % (26123)------------------------------
% 1.65/1.46  % (26124)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_25817 for (2998ds/127Mi)
% 1.65/1.50  % (26124)Instruction limit reached!
% 1.65/1.50  % (26124)------------------------------
% 1.65/1.50  % (26124)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.50  % (26124)Termination reason: Unknown
% 1.65/1.50  % (26124)Termination phase: Saturation
% 1.65/1.50  
% 1.65/1.50  % (26124)Memory used [KB]: 6012
% 1.65/1.50  % (26124)Time elapsed: 0.042 s
% 1.65/1.50  % (26124)Instructions burned: 127 (million)
% 1.65/1.50  % (26124)------------------------------
% 1.65/1.50  % (26124)------------------------------
% 1.65/1.51  % (26125)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_25817 for (2997ds/100Mi)
% 1.65/1.51  % (26117)Instruction limit reached!
% 1.65/1.51  % (26117)------------------------------
% 1.65/1.51  % (26117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.51  % (26117)Termination reason: Unknown
% 1.65/1.51  % (26117)Termination phase: Saturation
% 1.65/1.51  
% 1.65/1.51  % (26117)Memory used [KB]: 6268
% 1.65/1.51  % (26117)Time elapsed: 0.122 s
% 1.65/1.51  % (26117)Instructions burned: 377 (million)
% 1.65/1.51  % (26117)------------------------------
% 1.65/1.51  % (26117)------------------------------
% 1.65/1.52  % (26126)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_25817 for (2997ds/3Mi)
% 1.65/1.52  % (26126)Instruction limit reached!
% 1.65/1.52  % (26126)------------------------------
% 1.65/1.52  % (26126)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.52  % (26126)Termination reason: Unknown
% 1.65/1.52  % (26126)Termination phase: Saturation
% 1.65/1.52  
% 1.65/1.52  % (26126)Memory used [KB]: 5500
% 1.65/1.52  % (26126)Time elapsed: 0.003 s
% 1.65/1.52  % (26126)Instructions burned: 4 (million)
% 1.65/1.52  % (26126)------------------------------
% 1.65/1.52  % (26126)------------------------------
% 1.65/1.53  % (26127)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_25817 for (2997ds/20Mi)
% 1.65/1.54  % (26127)Instruction limit reached!
% 1.65/1.54  % (26127)------------------------------
% 1.65/1.54  % (26127)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.54  % (26127)Termination reason: Unknown
% 1.65/1.54  % (26127)Termination phase: Saturation
% 1.65/1.54  
% 1.65/1.54  % (26127)Memory used [KB]: 5628
% 1.65/1.54  % (26127)Time elapsed: 0.009 s
% 1.65/1.54  % (26127)Instructions burned: 20 (million)
% 1.65/1.54  % (26127)------------------------------
% 1.65/1.54  % (26127)------------------------------
% 1.65/1.54  % (26125)Instruction limit reached!
% 1.65/1.54  % (26125)------------------------------
% 1.65/1.54  % (26125)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.54  % (26125)Termination reason: Unknown
% 1.65/1.54  % (26125)Termination phase: Saturation
% 1.65/1.54  
% 1.65/1.54  % (26125)Memory used [KB]: 5884
% 1.65/1.54  % (26125)Time elapsed: 0.035 s
% 1.65/1.54  % (26125)Instructions burned: 100 (million)
% 1.65/1.54  % (26125)------------------------------
% 1.65/1.54  % (26125)------------------------------
% 1.65/1.55  % (26128)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_25817 for (2997ds/86Mi)
% 1.65/1.55  % (26129)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_25817 for (2997ds/107Mi)
% 1.65/1.58  % (26128)Instruction limit reached!
% 1.65/1.58  % (26128)------------------------------
% 1.65/1.58  % (26128)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.58  % (26128)Termination reason: Unknown
% 1.65/1.58  % (26128)Termination phase: Saturation
% 1.65/1.58  
% 1.65/1.58  % (26128)Memory used [KB]: 6012
% 1.65/1.58  % (26128)Time elapsed: 0.051 s
% 1.65/1.58  % (26128)Instructions burned: 87 (million)
% 1.65/1.58  % (26128)------------------------------
% 1.65/1.58  % (26128)------------------------------
% 1.65/1.59  % (26129)Instruction limit reached!
% 1.65/1.59  % (26129)------------------------------
% 1.65/1.59  % (26129)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.59  % (26129)Termination reason: Unknown
% 1.65/1.59  % (26129)Termination phase: Saturation
% 1.65/1.59  
% 1.65/1.59  % (26129)Memory used [KB]: 5884
% 1.65/1.59  % (26129)Time elapsed: 0.057 s
% 1.65/1.59  % (26129)Instructions burned: 108 (million)
% 1.65/1.59  % (26129)------------------------------
% 1.65/1.59  % (26129)------------------------------
% 1.65/1.59  % (26130)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_25817 for (2997ds/39Mi)
% 1.65/1.59  % (26111)Instruction limit reached!
% 1.65/1.59  % (26111)------------------------------
% 1.65/1.59  % (26111)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.59  % (26111)Termination reason: Unknown
% 1.65/1.59  % (26111)Termination phase: Saturation
% 1.65/1.59  
% 1.65/1.59  % (26111)Memory used [KB]: 7036
% 1.65/1.59  % (26111)Time elapsed: 0.223 s
% 1.65/1.59  % (26111)Instructions burned: 712 (million)
% 1.65/1.59  % (26111)------------------------------
% 1.65/1.59  % (26111)------------------------------
% 1.65/1.60  % (26131)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_25817 for (2997ds/448Mi)
% 1.65/1.60  % (26130)Instruction limit reached!
% 1.65/1.60  % (26130)------------------------------
% 1.65/1.60  % (26130)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.60  % (26130)Termination reason: Unknown
% 1.65/1.60  % (26130)Termination phase: Saturation
% 1.65/1.60  
% 1.65/1.60  % (26130)Memory used [KB]: 5884
% 1.65/1.60  % (26130)Time elapsed: 0.038 s
% 1.65/1.60  % (26130)Instructions burned: 42 (million)
% 1.65/1.60  % (26130)------------------------------
% 1.65/1.60  % (26130)------------------------------
% 1.65/1.60  % (26132)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_25817 for (2996ds/46Mi)
% 1.65/1.61  % (26118)Instruction limit reached!
% 1.65/1.61  % (26118)------------------------------
% 1.65/1.61  % (26118)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.61  % (26118)Termination reason: Unknown
% 1.65/1.61  % (26118)Termination phase: Saturation
% 1.65/1.61  
% 1.65/1.61  % (26118)Memory used [KB]: 6780
% 1.65/1.61  % (26118)Time elapsed: 0.218 s
% 1.65/1.61  % (26118)Instructions burned: 781 (million)
% 1.65/1.61  % (26118)------------------------------
% 1.65/1.61  % (26118)------------------------------
% 1.65/1.61  % (26133)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_25817 for (2996ds/98Mi)
% 1.65/1.62  % (26134)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_25817 for (2996ds/507Mi)
% 1.65/1.62  % (26132)Instruction limit reached!
% 1.65/1.62  % (26132)------------------------------
% 1.65/1.62  % (26132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.62  % (26132)Termination reason: Unknown
% 1.65/1.62  % (26132)Termination phase: Saturation
% 1.65/1.62  
% 1.65/1.62  % (26132)Memory used [KB]: 5756
% 1.65/1.62  % (26132)Time elapsed: 0.018 s
% 1.65/1.62  % (26132)Instructions burned: 46 (million)
% 1.65/1.62  % (26132)------------------------------
% 1.65/1.62  % (26132)------------------------------
% 1.65/1.63  % (26135)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_25817 for (2996ds/149Mi)
% 1.65/1.64  % (26133)Instruction limit reached!
% 1.65/1.64  % (26133)------------------------------
% 1.65/1.64  % (26133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.64  % (26133)Termination reason: Unknown
% 1.65/1.64  % (26133)Termination phase: Saturation
% 1.65/1.64  
% 1.65/1.64  % (26133)Memory used [KB]: 1151
% 1.65/1.64  % (26133)Time elapsed: 0.032 s
% 1.65/1.64  % (26133)Instructions burned: 100 (million)
% 1.65/1.64  % (26133)------------------------------
% 1.65/1.64  % (26133)------------------------------
% 1.65/1.65  % (26136)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_25817 for (2996ds/39Mi)
% 1.65/1.67  % (26136)Instruction limit reached!
% 1.65/1.67  % (26136)------------------------------
% 1.65/1.67  % (26136)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.67  % (26136)Termination reason: Unknown
% 1.65/1.67  % (26136)Termination phase: Saturation
% 1.65/1.67  
% 1.65/1.67  % (26136)Memory used [KB]: 5756
% 1.65/1.67  % (26136)Time elapsed: 0.015 s
% 1.65/1.67  % (26136)Instructions burned: 39 (million)
% 1.65/1.67  % (26136)------------------------------
% 1.65/1.67  % (26136)------------------------------
% 1.65/1.68  % (26137)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_25817 for (2996ds/6Mi)
% 1.65/1.68  % (26135)Instruction limit reached!
% 1.65/1.68  % (26135)------------------------------
% 1.65/1.68  % (26135)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.68  % (26135)Termination reason: Unknown
% 1.65/1.68  % (26135)Termination phase: Saturation
% 1.65/1.68  
% 1.65/1.68  % (26135)Memory used [KB]: 6012
% 1.65/1.68  % (26135)Time elapsed: 0.051 s
% 1.65/1.68  % (26135)Instructions burned: 150 (million)
% 1.65/1.68  % (26135)------------------------------
% 1.65/1.68  % (26135)------------------------------
% 1.65/1.68  % (26137)Instruction limit reached!
% 1.65/1.68  % (26137)------------------------------
% 1.65/1.68  % (26137)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.68  % (26137)Termination reason: Unknown
% 1.65/1.68  % (26137)Termination phase: Saturation
% 1.65/1.68  
% 1.65/1.68  % (26137)Memory used [KB]: 9978
% 1.65/1.68  % (26137)Time elapsed: 0.004 s
% 1.65/1.68  % (26137)Instructions burned: 6 (million)
% 1.65/1.68  % (26137)------------------------------
% 1.65/1.68  % (26137)------------------------------
% 1.65/1.68  % (26113)Instruction limit reached!
% 1.65/1.68  % (26113)------------------------------
% 1.65/1.68  % (26113)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.68  % (26113)Termination reason: Unknown
% 1.65/1.68  % (26113)Termination phase: Saturation
% 1.65/1.68  
% 1.65/1.68  % (26113)Memory used [KB]: 8571
% 1.65/1.68  % (26113)Time elapsed: 0.301 s
% 1.65/1.68  % (26113)Instructions burned: 903 (million)
% 1.65/1.68  % (26113)------------------------------
% 1.65/1.68  % (26113)------------------------------
% 1.65/1.68  % (26102)Instruction limit reached!
% 1.65/1.68  % (26102)------------------------------
% 1.65/1.68  % (26102)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.68  % (26102)Termination reason: Unknown
% 1.65/1.68  % (26102)Termination phase: Saturation
% 1.65/1.68  
% 1.65/1.68  % (26102)Memory used [KB]: 7803
% 1.65/1.68  % (26102)Time elapsed: 0.355 s
% 1.65/1.68  % (26102)Instructions burned: 1042 (million)
% 1.65/1.68  % (26102)------------------------------
% 1.65/1.68  % (26102)------------------------------
% 1.65/1.69  % (26138)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_25817 for (2995ds/1087Mi)
% 1.65/1.69  % (26139)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_25817 for (2995ds/47Mi)
% 1.65/1.69  % (26140)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_25817 for (2995ds/44Mi)
% 1.65/1.69  % (26141)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_25817 for (2995ds/432Mi)
% 1.65/1.70  % (26120)Instruction limit reached!
% 1.65/1.70  % (26120)------------------------------
% 1.65/1.70  % (26120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.70  % (26120)Termination reason: Unknown
% 1.65/1.70  % (26120)Termination phase: Saturation
% 1.65/1.70  
% 1.65/1.70  % (26120)Memory used [KB]: 7419
% 1.65/1.70  % (26120)Time elapsed: 0.292 s
% 1.65/1.70  % (26120)Instructions burned: 880 (million)
% 1.65/1.70  % (26120)------------------------------
% 1.65/1.70  % (26120)------------------------------
% 1.65/1.70  % (26140)Instruction limit reached!
% 1.65/1.70  % (26140)------------------------------
% 1.65/1.70  % (26140)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.70  % (26140)Termination reason: Unknown
% 1.65/1.70  % (26140)Termination phase: Saturation
% 1.65/1.70  
% 1.65/1.70  % (26140)Memory used [KB]: 1151
% 1.65/1.70  % (26140)Time elapsed: 0.016 s
% 1.65/1.70  % (26140)Instructions burned: 44 (million)
% 1.65/1.70  % (26140)------------------------------
% 1.65/1.70  % (26140)------------------------------
% 1.65/1.70  % (26139)Instruction limit reached!
% 1.65/1.70  % (26139)------------------------------
% 1.65/1.70  % (26139)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.70  % (26139)Termination reason: Unknown
% 1.65/1.70  % (26139)Termination phase: Saturation
% 1.65/1.70  
% 1.65/1.70  % (26139)Memory used [KB]: 5756
% 1.65/1.70  % (26139)Time elapsed: 0.017 s
% 1.65/1.70  % (26139)Instructions burned: 48 (million)
% 1.65/1.70  % (26139)------------------------------
% 1.65/1.70  % (26139)------------------------------
% 1.65/1.71  % (26142)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_25817 for (2995ds/62Mi)
% 1.65/1.71  % (26143)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_25817 for (2995ds/31Mi)
% 1.65/1.71  % (26144)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_25817 for (2995ds/96Mi)
% 1.65/1.72  % (26143)Instruction limit reached!
% 1.65/1.72  % (26143)------------------------------
% 1.65/1.72  % (26143)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.72  % (26143)Termination reason: Unknown
% 1.65/1.72  % (26143)Termination phase: Saturation
% 1.65/1.72  
% 1.65/1.72  % (26143)Memory used [KB]: 5756
% 1.65/1.72  % (26143)Time elapsed: 0.012 s
% 1.65/1.72  % (26143)Instructions burned: 32 (million)
% 1.65/1.72  % (26143)------------------------------
% 1.65/1.72  % (26143)------------------------------
% 1.65/1.72  % (26142)Instruction limit reached!
% 1.65/1.72  % (26142)------------------------------
% 1.65/1.72  % (26142)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.72  % (26142)Termination reason: Unknown
% 1.65/1.72  % (26142)Termination phase: Saturation
% 1.65/1.72  
% 1.65/1.72  % (26142)Memory used [KB]: 5756
% 1.65/1.72  % (26142)Time elapsed: 0.020 s
% 1.65/1.72  % (26142)Instructions burned: 62 (million)
% 1.65/1.72  % (26142)------------------------------
% 1.65/1.72  % (26142)------------------------------
% 1.65/1.73  % (26145)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_25817 for (2995ds/453Mi)
% 1.65/1.73  % (26146)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_25817 for (2995ds/71Mi)
% 1.65/1.74  % (26131)Instruction limit reached!
% 1.65/1.74  % (26131)------------------------------
% 1.65/1.74  % (26131)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.74  % (26131)Termination reason: Unknown
% 1.65/1.74  % (26131)Termination phase: Saturation
% 1.65/1.74  
% 1.65/1.74  % (26131)Memory used [KB]: 6524
% 1.65/1.74  % (26131)Time elapsed: 0.164 s
% 1.65/1.74  % (26131)Instructions burned: 450 (million)
% 1.65/1.74  % (26131)------------------------------
% 1.65/1.74  % (26131)------------------------------
% 1.65/1.74  % (26144)Instruction limit reached!
% 1.65/1.74  % (26144)------------------------------
% 1.65/1.74  % (26144)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.74  % (26144)Termination reason: Unknown
% 1.65/1.74  % (26144)Termination phase: Saturation
% 1.65/1.74  
% 1.65/1.74  % (26144)Memory used [KB]: 5756
% 1.65/1.74  % (26144)Time elapsed: 0.030 s
% 1.65/1.74  % (26144)Instructions burned: 96 (million)
% 1.65/1.74  % (26144)------------------------------
% 1.65/1.74  % (26144)------------------------------
% 1.65/1.75  % (26147)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_25817 for (2995ds/83Mi)
% 1.65/1.75  % (26148)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_25817 for (2995ds/11Mi)
% 1.65/1.75  % (26148)Instruction limit reached!
% 1.65/1.75  % (26148)------------------------------
% 1.65/1.75  % (26148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.75  % (26148)Termination reason: Unknown
% 1.65/1.75  % (26148)Termination phase: Saturation
% 1.65/1.75  
% 1.65/1.75  % (26148)Memory used [KB]: 5500
% 1.65/1.75  % (26148)Time elapsed: 0.004 s
% 1.65/1.75  % (26148)Instructions burned: 11 (million)
% 1.65/1.75  % (26148)------------------------------
% 1.65/1.75  % (26148)------------------------------
% 1.65/1.76  % (26146)Instruction limit reached!
% 1.65/1.76  % (26146)------------------------------
% 1.65/1.76  % (26146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.76  % (26146)Termination reason: Unknown
% 1.65/1.76  % (26146)Termination phase: Saturation
% 1.65/1.76  
% 1.65/1.76  % (26146)Memory used [KB]: 5884
% 1.65/1.76  % (26146)Time elapsed: 0.027 s
% 1.65/1.76  % (26146)Instructions burned: 71 (million)
% 1.65/1.76  % (26146)------------------------------
% 1.65/1.76  % (26146)------------------------------
% 1.65/1.76  % (26149)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_25817 for (2995ds/41Mi)
% 1.65/1.77  % (26150)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_25817 for (2995ds/6Mi)
% 1.65/1.77  % (26150)Instruction limit reached!
% 1.65/1.77  % (26150)------------------------------
% 1.65/1.77  % (26150)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.77  % (26150)Termination reason: Unknown
% 1.65/1.77  % (26150)Termination phase: Saturation
% 1.65/1.77  
% 1.65/1.77  % (26150)Memory used [KB]: 5500
% 1.65/1.77  % (26150)Time elapsed: 0.004 s
% 1.65/1.77  % (26150)Instructions burned: 6 (million)
% 1.65/1.77  % (26150)------------------------------
% 1.65/1.77  % (26150)------------------------------
% 1.65/1.77  % (26147)Instruction limit reached!
% 1.65/1.77  % (26147)------------------------------
% 1.65/1.77  % (26147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.77  % (26147)Termination reason: Unknown
% 1.65/1.77  % (26147)Termination phase: Saturation
% 1.65/1.77  
% 1.65/1.77  % (26147)Memory used [KB]: 5884
% 1.65/1.77  % (26147)Time elapsed: 0.026 s
% 1.65/1.77  % (26147)Instructions burned: 84 (million)
% 1.65/1.77  % (26147)------------------------------
% 1.65/1.77  % (26147)------------------------------
% 1.65/1.78  % (26149)Instruction limit reached!
% 1.65/1.78  % (26149)------------------------------
% 1.65/1.78  % (26149)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.78  % (26149)Termination reason: Unknown
% 1.65/1.78  % (26149)Termination phase: Saturation
% 1.65/1.78  
% 1.65/1.78  % (26149)Memory used [KB]: 5628
% 1.65/1.78  % (26149)Time elapsed: 0.014 s
% 1.65/1.78  % (26149)Instructions burned: 43 (million)
% 1.65/1.78  % (26149)------------------------------
% 1.65/1.78  % (26149)------------------------------
% 1.65/1.78  % (26134)Instruction limit reached!
% 1.65/1.78  % (26134)------------------------------
% 1.65/1.78  % (26134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.78  % (26134)Termination reason: Unknown
% 1.65/1.78  % (26134)Termination phase: Saturation
% 1.65/1.78  
% 1.65/1.78  % (26134)Memory used [KB]: 6780
% 1.65/1.78  % (26134)Time elapsed: 0.160 s
% 1.65/1.78  % (26134)Instructions burned: 507 (million)
% 1.65/1.78  % (26134)------------------------------
% 1.65/1.78  % (26134)------------------------------
% 1.65/1.78  % (26151)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_25817 for (2995ds/150Mi)
% 1.65/1.78  % (26152)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_25817 for (2995ds/343Mi)
% 1.65/1.79  % (26153)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_25817 for (2995ds/109Mi)
% 1.65/1.79  % (26154)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_25817 for (2995ds/253Mi)
% 1.65/1.81  % (26141)Instruction limit reached!
% 1.65/1.81  % (26141)------------------------------
% 1.65/1.81  % (26141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.81  % (26141)Termination reason: Unknown
% 1.65/1.81  % (26141)Termination phase: Saturation
% 1.65/1.81  
% 1.65/1.81  % (26141)Memory used [KB]: 3709
% 1.65/1.81  % (26141)Time elapsed: 0.121 s
% 1.65/1.81  % (26141)Instructions burned: 432 (million)
% 1.65/1.81  % (26141)------------------------------
% 1.65/1.81  % (26141)------------------------------
% 1.65/1.82  % (26153)Instruction limit reached!
% 1.65/1.82  % (26153)------------------------------
% 1.65/1.82  % (26153)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.82  % (26153)Termination reason: Unknown
% 1.65/1.82  % (26153)Termination phase: Saturation
% 1.65/1.82  
% 1.65/1.82  % (26153)Memory used [KB]: 6268
% 1.65/1.82  % (26153)Time elapsed: 0.033 s
% 1.65/1.82  % (26153)Instructions burned: 109 (million)
% 1.65/1.82  % (26153)------------------------------
% 1.65/1.82  % (26153)------------------------------
% 1.65/1.82  % (26155)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_25817 for (2994ds/140Mi)
% 1.65/1.83  % (26151)Instruction limit reached!
% 1.65/1.83  % (26151)------------------------------
% 1.65/1.83  % (26151)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.83  % (26151)Termination reason: Unknown
% 1.65/1.83  % (26151)Termination phase: Saturation
% 1.65/1.83  
% 1.65/1.83  % (26151)Memory used [KB]: 6140
% 1.65/1.83  % (26151)Time elapsed: 0.045 s
% 1.65/1.83  % (26151)Instructions burned: 152 (million)
% 1.65/1.83  % (26151)------------------------------
% 1.65/1.83  % (26151)------------------------------
% 1.65/1.83  % (26156)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_25817 for (2994ds/614Mi)
% 1.65/1.83  % (26157)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_25817 for (2994ds/202Mi)
% 1.65/1.87  % (26155)Instruction limit reached!
% 1.65/1.87  % (26155)------------------------------
% 1.65/1.87  % (26155)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.87  % (26155)Termination reason: Unknown
% 1.65/1.87  % (26155)Termination phase: Saturation
% 1.65/1.87  
% 1.65/1.87  % (26155)Memory used [KB]: 6012
% 1.65/1.87  % (26155)Time elapsed: 0.046 s
% 1.65/1.87  % (26155)Instructions burned: 143 (million)
% 1.65/1.87  % (26155)------------------------------
% 1.65/1.87  % (26155)------------------------------
% 1.65/1.87  % (26154)Instruction limit reached!
% 1.65/1.87  % (26154)------------------------------
% 1.65/1.87  % (26154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.87  % (26154)Termination reason: Unknown
% 1.65/1.87  % (26154)Termination phase: Saturation
% 1.65/1.87  
% 1.65/1.87  % (26154)Memory used [KB]: 6396
% 1.65/1.87  % (26154)Time elapsed: 0.082 s
% 1.65/1.87  % (26154)Instructions burned: 256 (million)
% 1.65/1.87  % (26154)------------------------------
% 1.65/1.87  % (26154)------------------------------
% 1.65/1.87  % (26145)Instruction limit reached!
% 1.65/1.87  % (26145)------------------------------
% 1.65/1.87  % (26145)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.87  % (26145)Termination reason: Unknown
% 1.65/1.87  % (26145)Termination phase: Saturation
% 1.65/1.87  
% 1.65/1.87  % (26145)Memory used [KB]: 6268
% 1.65/1.87  % (26145)Time elapsed: 0.137 s
% 1.65/1.87  % (26145)Instructions burned: 455 (million)
% 1.65/1.87  % (26145)------------------------------
% 1.65/1.87  % (26145)------------------------------
% 1.65/1.88  % (26158)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_25817 for (2994ds/339Mi)
% 1.65/1.88  % (26159)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_25817 for (2994ds/283Mi)
% 1.65/1.88  % (26160)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_25817 for (2994ds/134Mi)
% 1.65/1.89  % (26152)Instruction limit reached!
% 1.65/1.89  % (26152)------------------------------
% 1.65/1.89  % (26152)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.89  % (26152)Termination reason: Unknown
% 1.65/1.89  % (26152)Termination phase: Saturation
% 1.65/1.89  
% 1.65/1.89  % (26152)Memory used [KB]: 6780
% 1.65/1.89  % (26152)Time elapsed: 0.107 s
% 1.65/1.89  % (26152)Instructions burned: 344 (million)
% 1.65/1.89  % (26152)------------------------------
% 1.65/1.89  % (26152)------------------------------
% 1.65/1.89  % (26157)Instruction limit reached!
% 1.65/1.89  % (26157)------------------------------
% 1.65/1.89  % (26157)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.89  % (26157)Termination reason: Unknown
% 1.65/1.89  % (26157)Termination phase: Saturation
% 1.65/1.89  
% 1.65/1.89  % (26157)Memory used [KB]: 6140
% 1.65/1.89  % (26157)Time elapsed: 0.061 s
% 1.65/1.89  % (26157)Instructions burned: 204 (million)
% 1.65/1.89  % (26157)------------------------------
% 1.65/1.89  % (26157)------------------------------
% 1.65/1.90  % (26161)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_25817 for (2994ds/298Mi)
% 1.65/1.90  % (26162)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_25817 for (2993ds/192Mi)
% 1.65/1.92  % (26160)Instruction limit reached!
% 1.65/1.92  % (26160)------------------------------
% 1.65/1.92  % (26160)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.92  % (26160)Termination reason: Unknown
% 1.65/1.92  % (26160)Termination phase: Saturation
% 1.65/1.92  
% 1.65/1.92  % (26160)Memory used [KB]: 6268
% 1.65/1.92  % (26160)Time elapsed: 0.043 s
% 1.65/1.92  % (26160)Instructions burned: 136 (million)
% 1.65/1.92  % (26160)------------------------------
% 1.65/1.92  % (26160)------------------------------
% 1.65/1.93  % (26163)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_25817 for (2993ds/258Mi)
% 1.65/1.95  % (26159)Instruction limit reached!
% 1.65/1.95  % (26159)------------------------------
% 1.65/1.95  % (26159)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.95  % (26159)Termination reason: Unknown
% 1.65/1.95  % (26159)Termination phase: Saturation
% 1.65/1.95  
% 1.65/1.95  % (26159)Memory used [KB]: 7803
% 1.65/1.95  % (26159)Time elapsed: 0.077 s
% 1.65/1.95  % (26159)Instructions burned: 285 (million)
% 1.65/1.95  % (26159)------------------------------
% 1.65/1.95  % (26159)------------------------------
% 1.65/1.96  % (26162)Instruction limit reached!
% 1.65/1.96  % (26162)------------------------------
% 1.65/1.96  % (26162)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.96  % (26162)Termination reason: Unknown
% 1.65/1.96  % (26162)Termination phase: Saturation
% 1.65/1.96  
% 1.65/1.96  % (26162)Memory used [KB]: 6524
% 1.65/1.96  % (26162)Time elapsed: 0.059 s
% 1.65/1.96  % (26162)Instructions burned: 193 (million)
% 1.65/1.96  % (26162)------------------------------
% 1.65/1.96  % (26162)------------------------------
% 1.65/1.96  % (26164)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_25817 for (2993ds/90Mi)
% 1.65/1.97  % (26165)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_25817 for (2993ds/231Mi)
% 1.65/1.98  % (26158)Instruction limit reached!
% 1.65/1.98  % (26158)------------------------------
% 1.65/1.98  % (26158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.98  % (26158)Termination reason: Unknown
% 1.65/1.98  % (26158)Termination phase: Saturation
% 1.65/1.98  
% 1.65/1.98  % (26158)Memory used [KB]: 6908
% 1.65/1.98  % (26158)Time elapsed: 0.103 s
% 1.65/1.98  % (26158)Instructions burned: 340 (million)
% 1.65/1.98  % (26158)------------------------------
% 1.65/1.98  % (26158)------------------------------
% 1.65/1.99  % (26161)Instruction limit reached!
% 1.65/1.99  % (26161)------------------------------
% 1.65/1.99  % (26161)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.99  % (26161)Termination reason: Unknown
% 1.65/1.99  % (26161)Termination phase: Saturation
% 1.65/1.99  
% 1.65/1.99  % (26161)Memory used [KB]: 6396
% 1.65/1.99  % (26161)Time elapsed: 0.089 s
% 1.65/1.99  % (26161)Instructions burned: 300 (million)
% 1.65/1.99  % (26161)------------------------------
% 1.65/1.99  % (26161)------------------------------
% 1.65/1.99  % (26166)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_25817 for (2993ds/458Mi)
% 1.65/1.99  % (26164)Instruction limit reached!
% 1.65/1.99  % (26164)------------------------------
% 1.65/1.99  % (26164)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.99  % (26164)Termination reason: Unknown
% 1.65/1.99  % (26164)Termination phase: Saturation
% 1.65/1.99  
% 1.65/1.99  % (26164)Memory used [KB]: 5884
% 1.65/1.99  % (26164)Time elapsed: 0.029 s
% 1.65/1.99  % (26164)Instructions burned: 90 (million)
% 1.65/1.99  % (26164)------------------------------
% 1.65/1.99  % (26164)------------------------------
% 1.65/2.00  % (26167)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_25817 for (2993ds/31Mi)
% 1.65/2.00  % (26168)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_25817 for (2993ds/297Mi)
% 1.65/2.00  % (26156)Instruction limit reached!
% 1.65/2.00  % (26156)------------------------------
% 1.65/2.00  % (26156)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/2.00  % (26156)Termination reason: Unknown
% 1.65/2.00  % (26156)Termination phase: Saturation
% 1.65/2.00  
% 1.65/2.00  % (26156)Memory used [KB]: 7291
% 1.65/2.00  % (26156)Time elapsed: 0.178 s
% 1.65/2.00  % (26156)Instructions burned: 615 (million)
% 1.65/2.00  % (26156)------------------------------
% 1.65/2.00  % (26156)------------------------------
% 1.65/2.01  % (26167)Instruction limit reached!
% 1.65/2.01  % (26167)------------------------------
% 1.65/2.01  % (26167)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/2.01  % (26167)Termination reason: Unknown
% 1.65/2.01  % (26167)Termination phase: Saturation
% 1.65/2.01  
% 1.65/2.01  % (26167)Memory used [KB]: 5756
% 1.65/2.01  % (26167)Time elapsed: 0.011 s
% 1.65/2.01  % (26167)Instructions burned: 34 (million)
% 1.65/2.01  % (26167)------------------------------
% 1.65/2.01  % (26167)------------------------------
% 6.75/2.01  % (26163)Instruction limit reached!
% 6.75/2.01  % (26163)------------------------------
% 6.75/2.01  % (26163)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.75/2.01  % (26163)Termination reason: Unknown
% 6.75/2.01  % (26163)Termination phase: Saturation
% 6.75/2.01  
% 6.75/2.01  % (26163)Memory used [KB]: 6012
% 6.75/2.01  % (26163)Time elapsed: 0.085 s
% 6.75/2.01  % (26163)Instructions burned: 258 (million)
% 6.75/2.01  % (26163)------------------------------
% 6.75/2.01  % (26163)------------------------------
% 6.75/2.01  % (26169)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_25817 for (2992ds/987Mi)
% 6.75/2.01  % (26170)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_25817 for (2992ds/182Mi)
% 6.75/2.02  % (26138)Instruction limit reached!
% 6.75/2.02  % (26138)------------------------------
% 6.75/2.02  % (26138)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.75/2.02  % (26138)Termination reason: Unknown
% 6.75/2.02  % (26138)Termination phase: Saturation
% 6.75/2.02  
% 6.75/2.02  % (26138)Memory used [KB]: 7419
% 6.75/2.02  % (26138)Time elapsed: 0.334 s
% 6.75/2.02  % (26138)Instructions burned: 1089 (million)
% 6.75/2.02  % (26138)------------------------------
% 6.75/2.02  % (26138)------------------------------
% 6.75/2.03  % (26172)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_25817 for (2992ds/154Mi)
% 6.75/2.03  % (26165)Instruction limit reached!
% 6.75/2.03  % (26165)------------------------------
% 6.75/2.03  % (26165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.75/2.03  % (26165)Termination reason: Unknown
% 6.75/2.03  % (26165)Termination phase: Saturation
% 6.75/2.03  
% 6.75/2.03  % (26165)Memory used [KB]: 5756
% 6.75/2.03  % (26165)Time elapsed: 0.060 s
% 6.75/2.03  % (26165)Instructions burned: 232 (million)
% 6.75/2.03  % (26165)------------------------------
% 6.75/2.03  % (26165)------------------------------
% 6.75/2.03  % (26171)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_25817 for (2992ds/182Mi)
% 6.75/2.04  % (26173)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_25817 for (2992ds/79Mi)
% 6.75/2.06  % (26170)Instruction limit reached!
% 6.75/2.06  % (26170)------------------------------
% 6.75/2.06  % (26170)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.75/2.06  % (26170)Termination reason: Unknown
% 6.75/2.06  % (26170)Termination phase: Saturation
% 6.75/2.06  
% 6.75/2.06  % (26170)Memory used [KB]: 6524
% 6.75/2.06  % (26170)Time elapsed: 0.047 s
% 6.75/2.06  % (26170)Instructions burned: 182 (million)
% 6.75/2.06  % (26170)------------------------------
% 6.75/2.06  % (26170)------------------------------
% 6.75/2.06  % (26173)Instruction limit reached!
% 6.75/2.06  % (26173)------------------------------
% 6.75/2.06  % (26173)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.75/2.06  % (26173)Termination reason: Unknown
% 6.75/2.06  % (26173)Termination phase: Saturation
% 6.75/2.06  
% 6.75/2.06  % (26173)Memory used [KB]: 6012
% 6.75/2.06  % (26173)Time elapsed: 0.026 s
% 6.75/2.06  % (26173)Instructions burned: 81 (million)
% 6.75/2.06  % (26173)------------------------------
% 6.75/2.06  % (26173)------------------------------
% 6.75/2.07  % (26174)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_25817 for (2992ds/216Mi)
% 6.75/2.07  % (26175)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_25817 for (2992ds/114Mi)
% 6.75/2.08  % (26172)Instruction limit reached!
% 6.75/2.08  % (26172)------------------------------
% 6.75/2.08  % (26172)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.75/2.08  % (26172)Termination reason: Unknown
% 6.75/2.08  % (26172)Termination phase: Saturation
% 6.75/2.08  
% 6.75/2.08  % (26172)Memory used [KB]: 6140
% 6.75/2.08  % (26172)Time elapsed: 0.047 s
% 6.75/2.08  % (26172)Instructions burned: 154 (million)
% 6.75/2.08  % (26172)------------------------------
% 6.75/2.08  % (26172)------------------------------
% 6.75/2.08  % (26168)Instruction limit reached!
% 6.75/2.08  % (26168)------------------------------
% 6.75/2.08  % (26168)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.75/2.08  % (26168)Termination reason: Unknown
% 6.75/2.08  % (26168)Termination phase: Saturation
% 6.75/2.08  
% 6.75/2.08  % (26168)Memory used [KB]: 6140
% 6.75/2.08  % (26168)Time elapsed: 0.102 s
% 6.75/2.08  % (26168)Instructions burned: 297 (million)
% 6.75/2.08  % (26168)------------------------------
% 6.75/2.08  % (26168)------------------------------
% 6.75/2.09  % (26176)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_25817 for (2992ds/922Mi)
% 6.75/2.09  % (26177)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_25817 for (2992ds/182Mi)
% 6.75/2.11  % (26175)Instruction limit reached!
% 6.75/2.11  % (26175)------------------------------
% 6.75/2.11  % (26175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.75/2.11  % (26175)Termination reason: Unknown
% 6.75/2.11  % (26175)Termination phase: Saturation
% 6.75/2.11  
% 6.75/2.11  % (26175)Memory used [KB]: 6268
% 6.75/2.11  % (26175)Time elapsed: 0.035 s
% 6.75/2.11  % (26175)Instructions burned: 117 (million)
% 6.75/2.11  % (26175)------------------------------
% 6.75/2.11  % (26175)------------------------------
% 7.16/2.12  % (26178)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_25817 for (2991ds/164Mi)
% 7.16/2.13  % (26166)Instruction limit reached!
% 7.16/2.13  % (26166)------------------------------
% 7.16/2.13  % (26166)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.16/2.13  % (26166)Termination reason: Unknown
% 7.16/2.13  % (26166)Termination phase: Saturation
% 7.16/2.13  
% 7.16/2.13  % (26166)Memory used [KB]: 6780
% 7.16/2.13  % (26166)Time elapsed: 0.162 s
% 7.16/2.13  % (26166)Instructions burned: 461 (million)
% 7.16/2.13  % (26166)------------------------------
% 7.16/2.13  % (26166)------------------------------
% 7.16/2.13  % (26171)Instruction limit reached!
% 7.16/2.13  % (26171)------------------------------
% 7.16/2.13  % (26171)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.16/2.13  % (26171)Termination reason: Unknown
% 7.16/2.13  % (26171)Termination phase: Saturation
% 7.16/2.13  
% 7.16/2.13  % (26171)Memory used [KB]: 6140
% 7.16/2.13  % (26171)Time elapsed: 0.098 s
% 7.16/2.13  % (26171)Instructions burned: 184 (million)
% 7.16/2.13  % (26171)------------------------------
% 7.16/2.13  % (26171)------------------------------
% 7.16/2.13  % (26174)Instruction limit reached!
% 7.16/2.13  % (26174)------------------------------
% 7.16/2.13  % (26174)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.16/2.13  % (26174)Termination reason: Unknown
% 7.16/2.13  % (26174)Termination phase: Saturation
% 7.16/2.13  
% 7.16/2.13  % (26174)Memory used [KB]: 6268
% 7.16/2.13  % (26174)Time elapsed: 0.064 s
% 7.16/2.13  % (26174)Instructions burned: 218 (million)
% 7.16/2.13  % (26174)------------------------------
% 7.16/2.13  % (26174)------------------------------
% 7.16/2.14  % (26179)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_25817 for (2991ds/50Mi)
% 7.16/2.14  % (26180)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_25817 for (2991ds/368Mi)
% 7.16/2.14  % (26181)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_25817 for (2991ds/1021Mi)
% 7.16/2.14  % (26177)Instruction limit reached!
% 7.16/2.14  % (26177)------------------------------
% 7.16/2.14  % (26177)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.16/2.14  % (26177)Termination reason: Unknown
% 7.16/2.14  % (26177)Termination phase: Saturation
% 7.16/2.14  
% 7.16/2.14  % (26177)Memory used [KB]: 5756
% 7.16/2.14  % (26177)Time elapsed: 0.055 s
% 7.16/2.14  % (26177)Instructions burned: 183 (million)
% 7.16/2.14  % (26177)------------------------------
% 7.16/2.14  % (26177)------------------------------
% 7.16/2.15  % (26179)Instruction limit reached!
% 7.16/2.15  % (26179)------------------------------
% 7.16/2.15  % (26179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.16/2.15  % (26179)Termination reason: Unknown
% 7.16/2.15  % (26179)Termination phase: Saturation
% 7.16/2.15  
% 7.16/2.15  % (26179)Memory used [KB]: 10618
% 7.16/2.15  % (26179)Time elapsed: 0.015 s
% 7.16/2.15  % (26179)Instructions burned: 50 (million)
% 7.16/2.15  % (26179)------------------------------
% 7.16/2.15  % (26179)------------------------------
% 7.16/2.15  % (26182)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_25817 for (2991ds/267Mi)
% 7.16/2.16  % (26183)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_25817 for (2991ds/204Mi)
% 7.16/2.17  % (26178)Instruction limit reached!
% 7.16/2.17  % (26178)------------------------------
% 7.16/2.17  % (26178)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.16/2.17  % (26178)Termination reason: Unknown
% 7.16/2.17  % (26178)Termination phase: Saturation
% 7.16/2.17  
% 7.16/2.17  % (26178)Memory used [KB]: 1279
% 7.16/2.17  % (26178)Time elapsed: 0.050 s
% 7.16/2.17  % (26178)Instructions burned: 166 (million)
% 7.16/2.17  % (26178)------------------------------
% 7.16/2.17  % (26178)------------------------------
% 7.16/2.18  % (26184)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_25817 for (2991ds/26Mi)
% 7.16/2.18  % (26184)Instruction limit reached!
% 7.16/2.18  % (26184)------------------------------
% 7.16/2.18  % (26184)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.16/2.18  % (26184)Termination reason: Unknown
% 7.16/2.18  % (26184)Termination phase: Saturation
% 7.16/2.18  
% 7.16/2.18  % (26184)Memory used [KB]: 5500
% 7.16/2.18  % (26184)Time elapsed: 0.008 s
% 7.16/2.18  % (26184)Instructions burned: 26 (million)
% 7.16/2.18  % (26184)------------------------------
% 7.16/2.18  % (26184)------------------------------
% 7.16/2.19  % (26185)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_25817 for (2991ds/53Mi)
% 7.53/2.21  % (26185)Instruction limit reached!
% 7.53/2.21  % (26185)------------------------------
% 7.53/2.21  % (26185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.53/2.21  % (26185)Termination reason: Unknown
% 7.53/2.21  % (26185)Termination phase: Saturation
% 7.53/2.21  
% 7.53/2.21  % (26185)Memory used [KB]: 5628
% 7.53/2.21  % (26185)Time elapsed: 0.017 s
% 7.53/2.21  % (26185)Instructions burned: 55 (million)
% 7.53/2.21  % (26185)------------------------------
% 7.53/2.21  % (26185)------------------------------
% 7.53/2.22  % (26186)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_25817 for (2990ds/4436Mi)
% 7.53/2.22  % (26183)Instruction limit reached!
% 7.53/2.22  % (26183)------------------------------
% 7.53/2.22  % (26183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.53/2.22  % (26183)Termination reason: Unknown
% 7.53/2.22  % (26183)Termination phase: Saturation
% 7.53/2.22  
% 7.53/2.22  % (26183)Memory used [KB]: 6140
% 7.53/2.22  % (26183)Time elapsed: 0.064 s
% 7.53/2.22  % (26183)Instructions burned: 204 (million)
% 7.53/2.22  % (26183)------------------------------
% 7.53/2.22  % (26183)------------------------------
% 7.53/2.23  % (26187)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_25817 for (2990ds/1539Mi)
% 7.53/2.23  % (26182)Instruction limit reached!
% 7.53/2.23  % (26182)------------------------------
% 7.53/2.23  % (26182)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.53/2.23  % (26182)Termination reason: Unknown
% 7.53/2.23  % (26182)Termination phase: Saturation
% 7.53/2.23  
% 7.53/2.23  % (26182)Memory used [KB]: 6012
% 7.53/2.23  % (26182)Time elapsed: 0.081 s
% 7.53/2.23  % (26182)Instructions burned: 268 (million)
% 7.53/2.23  % (26182)------------------------------
% 7.53/2.23  % (26182)------------------------------
% 7.53/2.24  % (26188)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_25817 for (2990ds/408Mi)
% 7.53/2.25  % (26180)Instruction limit reached!
% 7.53/2.25  % (26180)------------------------------
% 7.53/2.25  % (26180)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.53/2.25  % (26180)Termination reason: Unknown
% 7.53/2.25  % (26180)Termination phase: Saturation
% 7.53/2.25  
% 7.53/2.25  % (26180)Memory used [KB]: 6780
% 7.53/2.25  % (26180)Time elapsed: 0.115 s
% 7.53/2.25  % (26180)Instructions burned: 369 (million)
% 7.53/2.25  % (26180)------------------------------
% 7.53/2.25  % (26180)------------------------------
% 7.53/2.26  % (26189)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_25817 for (2990ds/5205Mi)
% 7.84/2.31  % (26169)Instruction limit reached!
% 7.84/2.31  % (26169)------------------------------
% 7.84/2.31  % (26169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.84/2.31  % (26169)Termination reason: Unknown
% 7.84/2.31  % (26169)Termination phase: Saturation
% 7.84/2.31  
% 7.84/2.31  % (26169)Memory used [KB]: 6652
% 7.84/2.31  % (26169)Time elapsed: 0.297 s
% 7.84/2.31  % (26169)Instructions burned: 989 (million)
% 7.84/2.31  % (26169)------------------------------
% 7.84/2.31  % (26169)------------------------------
% 7.84/2.32  % (26190)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_25817 for (2989ds/1913Mi)
% 7.84/2.36  % (26188)Instruction limit reached!
% 7.84/2.36  % (26188)------------------------------
% 7.84/2.36  % (26188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.84/2.36  % (26188)Termination reason: Unknown
% 7.84/2.36  % (26188)Termination phase: Saturation
% 7.84/2.36  
% 7.84/2.36  % (26188)Memory used [KB]: 6524
% 7.84/2.36  % (26188)Time elapsed: 0.115 s
% 7.84/2.36  % (26188)Instructions burned: 409 (million)
% 7.84/2.36  % (26188)------------------------------
% 7.84/2.36  % (26188)------------------------------
% 7.84/2.36  % (26176)Instruction limit reached!
% 7.84/2.36  % (26176)------------------------------
% 7.84/2.36  % (26176)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.84/2.36  % (26176)Termination reason: Unknown
% 7.84/2.36  % (26176)Termination phase: Saturation
% 7.84/2.36  
% 7.84/2.36  % (26176)Memory used [KB]: 7036
% 7.84/2.36  % (26176)Time elapsed: 0.278 s
% 7.84/2.36  % (26176)Instructions burned: 924 (million)
% 7.84/2.36  % (26176)------------------------------
% 7.84/2.36  % (26176)------------------------------
% 7.84/2.37  % (26191)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_25817 for (2989ds/4350Mi)
% 7.84/2.38  % (26192)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_25817 for (2989ds/68Mi)
% 8.56/2.42  % (26192)Instruction limit reached!
% 8.56/2.42  % (26192)------------------------------
% 8.56/2.42  % (26192)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.56/2.42  % (26192)Termination reason: Unknown
% 8.56/2.42  % (26192)Termination phase: Saturation
% 8.56/2.42  
% 8.56/2.42  % (26192)Memory used [KB]: 6012
% 8.56/2.42  % (26192)Time elapsed: 0.040 s
% 8.56/2.42  % (26192)Instructions burned: 68 (million)
% 8.56/2.42  % (26192)------------------------------
% 8.56/2.42  % (26192)------------------------------
% 8.56/2.43  % (26193)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_25817 for (2988ds/358Mi)
% 8.56/2.43  % (26181)Instruction limit reached!
% 8.56/2.43  % (26181)------------------------------
% 8.56/2.43  % (26181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.56/2.43  % (26181)Termination reason: Unknown
% 8.56/2.43  % (26181)Termination phase: Saturation
% 8.56/2.43  
% 8.56/2.43  % (26181)Memory used [KB]: 7036
% 8.56/2.43  % (26181)Time elapsed: 0.292 s
% 8.56/2.43  % (26181)Instructions burned: 1022 (million)
% 8.56/2.43  % (26181)------------------------------
% 8.56/2.43  % (26181)------------------------------
% 8.56/2.44  % (26194)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_25817 for (2988ds/31Mi)
% 8.56/2.45  % (26194)Instruction limit reached!
% 8.56/2.45  % (26194)------------------------------
% 8.56/2.45  % (26194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.56/2.45  % (26194)Termination reason: Unknown
% 8.56/2.45  % (26194)Termination phase: Saturation
% 8.56/2.45  
% 8.56/2.45  % (26194)Memory used [KB]: 5756
% 8.56/2.45  % (26194)Time elapsed: 0.011 s
% 8.56/2.45  % (26194)Instructions burned: 31 (million)
% 8.56/2.45  % (26194)------------------------------
% 8.56/2.45  % (26194)------------------------------
% 8.56/2.46  % (26195)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_25817 for (2988ds/279Mi)
% 8.94/2.54  % (26193)Instruction limit reached!
% 8.94/2.54  % (26193)------------------------------
% 8.94/2.54  % (26193)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.94/2.54  % (26193)Termination reason: Unknown
% 8.94/2.54  % (26193)Termination phase: Saturation
% 8.94/2.54  
% 8.94/2.54  % (26193)Memory used [KB]: 6268
% 8.94/2.54  % (26193)Time elapsed: 0.110 s
% 8.94/2.54  % (26193)Instructions burned: 361 (million)
% 8.94/2.54  % (26193)------------------------------
% 8.94/2.54  % (26193)------------------------------
% 8.94/2.54  % (26195)Instruction limit reached!
% 8.94/2.54  % (26195)------------------------------
% 8.94/2.54  % (26195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.94/2.54  % (26195)Termination reason: Unknown
% 8.94/2.54  % (26195)Termination phase: Saturation
% 8.94/2.54  
% 8.94/2.54  % (26195)Memory used [KB]: 6140
% 8.94/2.54  % (26195)Time elapsed: 0.082 s
% 8.94/2.54  % (26195)Instructions burned: 280 (million)
% 8.94/2.54  % (26195)------------------------------
% 8.94/2.54  % (26195)------------------------------
% 8.94/2.55  % (26196)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_25817 for (2987ds/258Mi)
% 8.94/2.55  % (26197)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_25817 for (2987ds/26Mi)
% 8.94/2.56  % (26197)Instruction limit reached!
% 8.94/2.56  % (26197)------------------------------
% 8.94/2.56  % (26197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.94/2.56  % (26197)Termination reason: Unknown
% 8.94/2.56  % (26197)Termination phase: Saturation
% 8.94/2.56  
% 8.94/2.56  % (26197)Memory used [KB]: 5500
% 8.94/2.56  % (26197)Time elapsed: 0.008 s
% 8.94/2.56  % (26197)Instructions burned: 26 (million)
% 8.94/2.56  % (26197)------------------------------
% 8.94/2.56  % (26197)------------------------------
% 8.94/2.57  % (26198)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_25817 for (2987ds/995Mi)
% 9.17/2.63  % (26196)Instruction limit reached!
% 9.17/2.63  % (26196)------------------------------
% 9.17/2.63  % (26196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.17/2.63  % (26196)Termination reason: Unknown
% 9.17/2.63  % (26196)Termination phase: Saturation
% 9.17/2.63  
% 9.17/2.63  % (26196)Memory used [KB]: 6140
% 9.17/2.63  % (26196)Time elapsed: 0.084 s
% 9.17/2.63  % (26196)Instructions burned: 258 (million)
% 9.17/2.63  % (26196)------------------------------
% 9.17/2.63  % (26196)------------------------------
% 9.17/2.64  % (26199)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_25817 for (2986ds/373Mi)
% 9.27/2.70  % (26187)Instruction limit reached!
% 9.27/2.70  % (26187)------------------------------
% 9.27/2.70  % (26187)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.27/2.70  % (26187)Termination reason: Unknown
% 9.27/2.70  % (26187)Termination phase: Saturation
% 9.27/2.70  
% 9.27/2.70  % (26187)Memory used [KB]: 7547
% 9.27/2.70  % (26187)Time elapsed: 0.474 s
% 9.27/2.70  % (26187)Instructions burned: 1539 (million)
% 9.27/2.70  % (26187)------------------------------
% 9.27/2.70  % (26187)------------------------------
% 9.27/2.71  % (26200)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_25817 for (2985ds/253Mi)
% 9.27/2.75  % (26199)Instruction limit reached!
% 9.27/2.75  % (26199)------------------------------
% 9.27/2.75  % (26199)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.27/2.75  % (26199)Termination reason: Unknown
% 9.27/2.75  % (26199)Termination phase: Saturation
% 9.27/2.75  
% 9.27/2.75  % (26199)Memory used [KB]: 7675
% 9.27/2.75  % (26199)Time elapsed: 0.109 s
% 9.27/2.75  % (26199)Instructions burned: 373 (million)
% 9.27/2.75  % (26199)------------------------------
% 9.27/2.75  % (26199)------------------------------
% 9.27/2.76  % (26201)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_25817 for (2985ds/832Mi)
% 9.27/2.79  % (26200)Instruction limit reached!
% 9.27/2.79  % (26200)------------------------------
% 9.27/2.79  % (26200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.27/2.79  % (26200)Termination reason: Unknown
% 9.27/2.79  % (26200)Termination phase: Saturation
% 9.27/2.79  
% 9.27/2.79  % (26200)Memory used [KB]: 5884
% 9.27/2.79  % (26200)Time elapsed: 0.074 s
% 9.27/2.79  % (26200)Instructions burned: 256 (million)
% 9.27/2.79  % (26200)------------------------------
% 9.27/2.79  % (26200)------------------------------
% 9.94/2.80  % (26202)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_25817 for (2985ds/668Mi)
% 9.94/2.85  % (26190)Instruction limit reached!
% 9.94/2.85  % (26190)------------------------------
% 9.94/2.85  % (26190)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.94/2.85  % (26190)Termination reason: Unknown
% 9.94/2.85  % (26190)Termination phase: Saturation
% 9.94/2.85  
% 9.94/2.85  % (26190)Memory used [KB]: 2430
% 9.94/2.85  % (26190)Time elapsed: 0.536 s
% 9.94/2.85  % (26190)Instructions burned: 1914 (million)
% 9.94/2.85  % (26190)------------------------------
% 9.94/2.85  % (26190)------------------------------
% 9.94/2.86  % (26198)Instruction limit reached!
% 9.94/2.86  % (26198)------------------------------
% 9.94/2.86  % (26198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.94/2.86  % (26198)Termination reason: Unknown
% 9.94/2.86  % (26198)Termination phase: Saturation
% 9.94/2.86  
% 9.94/2.86  % (26198)Memory used [KB]: 6908
% 9.94/2.86  % (26198)Time elapsed: 0.293 s
% 9.94/2.86  % (26198)Instructions burned: 995 (million)
% 9.94/2.86  % (26198)------------------------------
% 9.94/2.86  % (26198)------------------------------
% 9.94/2.86  % (26203)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_25817 for (2984ds/40Mi)
% 9.94/2.87  % (26204)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_25817 for (2984ds/294Mi)
% 9.94/2.88  % (26203)Instruction limit reached!
% 9.94/2.88  % (26203)------------------------------
% 9.94/2.88  % (26203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.94/2.88  % (26203)Termination reason: Unknown
% 9.94/2.88  % (26203)Termination phase: Saturation
% 9.94/2.88  
% 9.94/2.88  % (26203)Memory used [KB]: 5756
% 9.94/2.88  % (26203)Time elapsed: 0.013 s
% 9.94/2.88  % (26203)Instructions burned: 42 (million)
% 9.94/2.88  % (26203)------------------------------
% 9.94/2.88  % (26203)------------------------------
% 9.94/2.89  % (26205)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_25817 for (2984ds/187Mi)
% 10.82/2.94  % (26205)Instruction limit reached!
% 10.82/2.94  % (26205)------------------------------
% 10.82/2.94  % (26205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.82/2.94  % (26205)Termination reason: Unknown
% 10.82/2.94  % (26205)Termination phase: Saturation
% 10.82/2.94  
% 10.82/2.94  % (26205)Memory used [KB]: 6652
% 10.82/2.94  % (26205)Time elapsed: 0.075 s
% 10.82/2.94  % (26205)Instructions burned: 189 (million)
% 10.82/2.94  % (26205)------------------------------
% 10.82/2.94  % (26205)------------------------------
% 10.82/2.95  % (26206)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_25817 for (2983ds/371Mi)
% 10.82/2.95  % (26204)Instruction limit reached!
% 10.82/2.95  % (26204)------------------------------
% 10.82/2.95  % (26204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.82/2.95  % (26204)Termination reason: Unknown
% 10.82/2.95  % (26204)Termination phase: Saturation
% 10.82/2.95  
% 10.82/2.95  % (26204)Memory used [KB]: 6140
% 10.82/2.95  % (26204)Time elapsed: 0.103 s
% 10.82/2.95  % (26204)Instructions burned: 294 (million)
% 10.82/2.95  % (26204)------------------------------
% 10.82/2.95  % (26204)------------------------------
% 10.82/2.96  % (26207)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_25817 for (2983ds/1827Mi)
% 10.82/2.98  % (26201)Instruction limit reached!
% 10.82/2.98  % (26201)------------------------------
% 10.82/2.98  % (26201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.82/2.98  % (26201)Termination reason: Unknown
% 10.82/2.98  % (26201)Termination phase: Saturation
% 10.82/2.98  
% 10.82/2.98  % (26201)Memory used [KB]: 6268
% 10.82/2.98  % (26201)Time elapsed: 0.224 s
% 10.82/2.98  % (26201)Instructions burned: 833 (million)
% 10.82/2.98  % (26201)------------------------------
% 10.82/2.98  % (26201)------------------------------
% 10.82/2.99  % (26202)Instruction limit reached!
% 10.82/2.99  % (26202)------------------------------
% 10.82/2.99  % (26202)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.82/2.99  % (26202)Termination reason: Unknown
% 10.82/2.99  % (26202)Termination phase: Saturation
% 10.82/2.99  
% 10.82/2.99  % (26202)Memory used [KB]: 12153
% 10.82/2.99  % (26202)Time elapsed: 0.194 s
% 10.82/2.99  % (26202)Instructions burned: 671 (million)
% 10.82/2.99  % (26202)------------------------------
% 10.82/2.99  % (26202)------------------------------
% 10.82/2.99  % (26208)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_25817 for (2982ds/70Mi)
% 10.82/3.00  % (26209)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_25817 for (2982ds/316Mi)
% 13.75/3.01  % (26208)Instruction limit reached!
% 13.75/3.01  % (26208)------------------------------
% 13.75/3.01  % (26208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.75/3.01  % (26208)Termination reason: Unknown
% 13.75/3.01  % (26208)Termination phase: Saturation
% 13.75/3.01  
% 13.75/3.01  % (26208)Memory used [KB]: 1663
% 13.75/3.01  % (26208)Time elapsed: 0.020 s
% 13.75/3.01  % (26208)Instructions burned: 71 (million)
% 13.75/3.01  % (26208)------------------------------
% 13.75/3.01  % (26208)------------------------------
% 13.75/3.02  % (26210)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_25817 for (2982ds/932Mi)
% 13.75/3.06  % (26206)Instruction limit reached!
% 13.75/3.06  % (26206)------------------------------
% 13.75/3.06  % (26206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.75/3.06  % (26206)Termination reason: Unknown
% 13.75/3.06  % (26206)Termination phase: Saturation
% 13.75/3.06  
% 13.75/3.06  % (26206)Memory used [KB]: 6780
% 13.75/3.06  % (26206)Time elapsed: 0.139 s
% 13.75/3.06  % (26206)Instructions burned: 373 (million)
% 13.75/3.06  % (26206)------------------------------
% 13.75/3.06  % (26206)------------------------------
% 13.75/3.07  % (26211)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_25817 for (2982ds/4714Mi)
% 14.31/3.14  % (26209)Instruction limit reached!
% 14.31/3.14  % (26209)------------------------------
% 14.31/3.14  % (26209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.31/3.14  % (26209)Termination reason: Unknown
% 14.31/3.14  % (26209)Termination phase: Saturation
% 14.31/3.14  
% 14.31/3.14  % (26209)Memory used [KB]: 8315
% 14.31/3.14  % (26209)Time elapsed: 0.142 s
% 14.31/3.14  % (26209)Instructions burned: 318 (million)
% 14.31/3.14  % (26209)------------------------------
% 14.31/3.14  % (26209)------------------------------
% 14.31/3.15  % (26212)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_25817 for (2981ds/8250Mi)
% 14.70/3.29  % (26210)Instruction limit reached!
% 14.70/3.29  % (26210)------------------------------
% 14.70/3.29  % (26210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.70/3.29  % (26210)Termination reason: Unknown
% 14.70/3.29  % (26210)Termination phase: Saturation
% 14.70/3.29  
% 14.70/3.29  % (26210)Memory used [KB]: 7036
% 14.70/3.29  % (26210)Time elapsed: 0.273 s
% 14.70/3.29  % (26210)Instructions burned: 932 (million)
% 14.70/3.29  % (26210)------------------------------
% 14.70/3.29  % (26210)------------------------------
% 15.37/3.30  % (26213)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_25817 for (2979ds/770Mi)
% 15.79/3.49  % (26207)Instruction limit reached!
% 15.79/3.49  % (26207)------------------------------
% 15.79/3.49  % (26207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.79/3.49  % (26207)Termination reason: Unknown
% 15.79/3.49  % (26207)Termination phase: Saturation
% 15.79/3.49  
% 15.79/3.49  % (26207)Memory used [KB]: 8187
% 15.79/3.49  % (26207)Time elapsed: 0.535 s
% 15.79/3.49  % (26207)Instructions burned: 1829 (million)
% 15.79/3.49  % (26207)------------------------------
% 15.79/3.49  % (26207)------------------------------
% 15.79/3.50  % (26186)Instruction limit reached!
% 15.79/3.50  % (26186)------------------------------
% 15.79/3.50  % (26186)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.79/3.50  % (26186)Termination reason: Unknown
% 15.79/3.50  % (26186)Termination phase: Saturation
% 15.79/3.50  
% 15.79/3.50  % (26186)Memory used [KB]: 10618
% 15.79/3.50  % (26186)Time elapsed: 1.280 s
% 15.79/3.50  % (26186)Instructions burned: 4437 (million)
% 15.79/3.50  % (26186)------------------------------
% 15.79/3.50  % (26186)------------------------------
% 14.92/3.50  % (26214)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_25817 for (2977ds/794Mi)
% 14.92/3.51  % (26215)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_25817 for (2977ds/464Mi)
% 14.92/3.53  % (26213)Instruction limit reached!
% 14.92/3.53  % (26213)------------------------------
% 14.92/3.53  % (26213)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.92/3.53  % (26213)Termination reason: Unknown
% 14.92/3.53  % (26213)Termination phase: Saturation
% 14.92/3.53  
% 14.92/3.53  % (26213)Memory used [KB]: 6908
% 14.92/3.53  % (26213)Time elapsed: 0.227 s
% 14.92/3.53  % (26213)Instructions burned: 773 (million)
% 14.92/3.53  % (26213)------------------------------
% 14.92/3.53  % (26213)------------------------------
% 14.92/3.54  % (26216)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_25817 for (2977ds/1376Mi)
% 14.92/3.58  % (26191)Refutation not found, non-redundant clauses discarded% (26191)------------------------------
% 14.92/3.58  % (26191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.92/3.58  % (26191)Termination reason: Refutation not found, non-redundant clauses discarded
% 14.92/3.58  
% 14.92/3.58  % (26191)Memory used [KB]: 11129
% 14.92/3.58  % (26191)Time elapsed: 1.219 s
% 14.92/3.58  % (26191)Instructions burned: 4328 (million)
% 14.92/3.58  % (26191)------------------------------
% 14.92/3.58  % (26191)------------------------------
% 14.92/3.59  % (26217)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_25817 for (2977ds/906Mi)
% 16.63/3.68  % (26215)Instruction limit reached!
% 16.63/3.68  % (26215)------------------------------
% 16.63/3.68  % (26215)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.63/3.68  % (26215)Termination reason: Unknown
% 16.63/3.68  % (26215)Termination phase: Saturation
% 16.63/3.68  
% 16.63/3.68  % (26215)Memory used [KB]: 6012
% 16.63/3.68  % (26215)Time elapsed: 0.167 s
% 16.63/3.68  % (26215)Instructions burned: 464 (million)
% 16.63/3.68  % (26215)------------------------------
% 16.63/3.68  % (26215)------------------------------
% 16.63/3.69  % (26218)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_25817 for (2976ds/434Mi)
% 16.91/3.74  % (26214)Instruction limit reached!
% 16.91/3.74  % (26214)------------------------------
% 16.91/3.74  % (26214)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.91/3.74  % (26214)Termination reason: Unknown
% 16.91/3.74  % (26214)Termination phase: Saturation
% 16.91/3.74  
% 16.91/3.74  % (26214)Memory used [KB]: 2942
% 16.91/3.74  % (26214)Time elapsed: 0.232 s
% 16.91/3.74  % (26214)Instructions burned: 795 (million)
% 16.91/3.74  % (26214)------------------------------
% 16.91/3.74  % (26214)------------------------------
% 16.91/3.75  % (26219)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_25817 for (2975ds/865Mi)
% 17.26/3.82  % (26218)Instruction limit reached!
% 17.26/3.82  % (26218)------------------------------
% 17.26/3.82  % (26218)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.26/3.82  % (26218)Termination reason: Unknown
% 17.26/3.82  % (26218)Termination phase: Saturation
% 17.26/3.82  
% 17.26/3.82  % (26218)Memory used [KB]: 6908
% 17.26/3.82  % (26218)Time elapsed: 0.133 s
% 17.26/3.82  % (26218)Instructions burned: 434 (million)
% 17.26/3.82  % (26218)------------------------------
% 17.26/3.82  % (26218)------------------------------
% 17.26/3.83  % (26220)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_25817 for (2974ds/593Mi)
% 17.26/3.86  % (26189)Instruction limit reached!
% 17.26/3.86  % (26189)------------------------------
% 17.26/3.86  % (26189)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.26/3.86  % (26189)Termination reason: Unknown
% 17.26/3.86  % (26189)Termination phase: Saturation
% 17.26/3.86  
% 17.26/3.86  % (26189)Memory used [KB]: 14072
% 17.26/3.86  % (26189)Time elapsed: 1.606 s
% 17.26/3.86  % (26189)Instructions burned: 5206 (million)
% 17.26/3.86  % (26189)------------------------------
% 17.26/3.86  % (26189)------------------------------
% 17.26/3.87  % (26217)Instruction limit reached!
% 17.26/3.87  % (26217)------------------------------
% 17.26/3.87  % (26217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.26/3.87  % (26217)Termination reason: Unknown
% 17.26/3.87  % (26217)Termination phase: Saturation
% 17.26/3.87  
% 17.26/3.87  % (26217)Memory used [KB]: 9466
% 17.26/3.87  % (26217)Time elapsed: 0.277 s
% 17.26/3.87  % (26217)Instructions burned: 907 (million)
% 17.26/3.87  % (26217)------------------------------
% 17.26/3.87  % (26217)------------------------------
% 17.26/3.88  % (26221)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_25817 for (2974ds/443Mi)
% 17.26/3.88  % (26222)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_25817 for (2974ds/594Mi)
% 17.78/3.92  % (26216)Instruction limit reached!
% 17.78/3.92  % (26216)------------------------------
% 17.78/3.92  % (26216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.78/3.92  % (26216)Termination reason: Unknown
% 17.78/3.92  % (26216)Termination phase: Saturation
% 17.78/3.92  
% 17.78/3.92  % (26216)Memory used [KB]: 12025
% 17.78/3.92  % (26216)Time elapsed: 0.380 s
% 17.78/3.92  % (26216)Instructions burned: 1377 (million)
% 17.78/3.92  % (26216)------------------------------
% 17.78/3.92  % (26216)------------------------------
% 17.78/3.92  % (26211)Instruction limit reached!
% 17.78/3.92  % (26211)------------------------------
% 17.78/3.92  % (26211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.78/3.92  % (26211)Termination reason: Unknown
% 17.78/3.92  % (26211)Termination phase: Saturation
% 17.78/3.92  
% 17.78/3.92  % (26211)Memory used [KB]: 6268
% 17.78/3.92  % (26211)Time elapsed: 0.851 s
% 17.78/3.92  % (26211)Instructions burned: 4715 (million)
% 17.78/3.92  % (26211)------------------------------
% 17.78/3.92  % (26211)------------------------------
% 17.78/3.93  % (26223)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_25817 for (2973ds/327Mi)
% 17.78/3.93  % (26224)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_25817 for (2973ds/5411Mi)
% 17.78/3.97  % (26219)Instruction limit reached!
% 17.78/3.97  % (26219)------------------------------
% 17.78/3.97  % (26219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.78/3.97  % (26219)Termination reason: Unknown
% 17.78/3.97  % (26219)Termination phase: Saturation
% 17.78/3.97  
% 17.78/3.97  % (26219)Memory used [KB]: 8443
% 17.78/3.97  % (26219)Time elapsed: 0.222 s
% 17.78/3.97  % (26219)Instructions burned: 866 (million)
% 17.78/3.97  % (26219)------------------------------
% 17.78/3.97  % (26219)------------------------------
% 17.78/3.98  % (26225)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_25817 for (2973ds/1762Mi)
% 17.78/4.00  % (26221)Instruction limit reached!
% 17.78/4.00  % (26221)------------------------------
% 17.78/4.00  % (26221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.78/4.00  % (26221)Termination reason: Unknown
% 17.78/4.00  % (26221)Termination phase: Saturation
% 17.78/4.00  
% 17.78/4.00  % (26221)Memory used [KB]: 6524
% 17.78/4.00  % (26221)Time elapsed: 0.130 s
% 17.78/4.00  % (26221)Instructions burned: 446 (million)
% 17.78/4.00  % (26221)------------------------------
% 17.78/4.00  % (26221)------------------------------
% 17.78/4.01  % (26223)Instruction limit reached!
% 17.78/4.01  % (26223)------------------------------
% 17.78/4.01  % (26223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.78/4.01  % (26223)Termination reason: Unknown
% 17.78/4.01  % (26223)Termination phase: Saturation
% 17.78/4.01  
% 17.78/4.01  % (26223)Memory used [KB]: 6268
% 17.78/4.01  % (26223)Time elapsed: 0.085 s
% 17.78/4.01  % (26223)Instructions burned: 332 (million)
% 17.78/4.01  % (26223)------------------------------
% 17.78/4.01  % (26223)------------------------------
% 20.76/4.01  % (26226)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_25817 for (2972ds/96Mi)
% 20.76/4.01  % (26220)Instruction limit reached!
% 20.76/4.01  % (26220)------------------------------
% 20.76/4.01  % (26220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.76/4.01  % (26220)Termination reason: Unknown
% 20.76/4.01  % (26220)Termination phase: Saturation
% 20.76/4.01  
% 20.76/4.01  % (26220)Memory used [KB]: 7164
% 20.76/4.01  % (26220)Time elapsed: 0.194 s
% 20.76/4.01  % (26220)Instructions burned: 594 (million)
% 20.76/4.01  % (26220)------------------------------
% 20.76/4.01  % (26220)------------------------------
% 20.76/4.02  % (26227)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_25817 for (2972ds/503Mi)
% 20.76/4.02  % (26228)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_25817 for (2972ds/90Mi)
% 20.76/4.04  % (26226)Instruction limit reached!
% 20.76/4.04  % (26226)------------------------------
% 20.76/4.04  % (26226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.76/4.04  % (26226)Termination reason: Unknown
% 20.76/4.04  % (26226)Termination phase: Saturation
% 20.76/4.04  
% 20.76/4.04  % (26226)Memory used [KB]: 5884
% 20.76/4.04  % (26226)Time elapsed: 0.031 s
% 20.76/4.04  % (26226)Instructions burned: 97 (million)
% 20.76/4.04  % (26226)------------------------------
% 20.76/4.04  % (26226)------------------------------
% 20.76/4.04  % (26222)Instruction limit reached!
% 20.76/4.04  % (26222)------------------------------
% 20.76/4.04  % (26222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.76/4.04  % (26222)Termination reason: Unknown
% 20.76/4.04  % (26222)Termination phase: Saturation
% 20.76/4.04  
% 20.76/4.04  % (26222)Memory used [KB]: 6396
% 20.76/4.04  % (26222)Time elapsed: 0.166 s
% 20.76/4.04  % (26222)Instructions burned: 595 (million)
% 20.76/4.04  % (26222)------------------------------
% 20.76/4.04  % (26222)------------------------------
% 20.76/4.05  % (26228)Instruction limit reached!
% 20.76/4.05  % (26228)------------------------------
% 20.76/4.05  % (26228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.76/4.05  % (26228)Termination reason: Unknown
% 20.76/4.05  % (26228)Termination phase: Saturation
% 20.76/4.05  
% 20.76/4.05  % (26228)Memory used [KB]: 5756
% 20.76/4.05  % (26228)Time elapsed: 0.051 s
% 20.76/4.05  % (26228)Instructions burned: 91 (million)
% 20.76/4.05  % (26228)------------------------------
% 20.76/4.05  % (26228)------------------------------
% 20.76/4.05  % (26229)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_25817 for (2972ds/593Mi)
% 20.76/4.05  % (26230)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_25817 for (2972ds/1512Mi)
% 20.76/4.06  % (26231)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_25817 for (2972ds/569Mi)
% 21.19/4.17  % (26227)Instruction limit reached!
% 21.19/4.17  % (26227)------------------------------
% 21.19/4.17  % (26227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.19/4.17  % (26227)Termination reason: Unknown
% 21.19/4.17  % (26227)Termination phase: Saturation
% 21.19/4.17  
% 21.19/4.17  % (26227)Memory used [KB]: 6908
% 21.19/4.17  % (26227)Time elapsed: 0.173 s
% 21.19/4.17  % (26227)Instructions burned: 503 (million)
% 21.19/4.17  % (26227)------------------------------
% 21.19/4.17  % (26227)------------------------------
% 21.19/4.18  % (26232)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_25817 for (2971ds/501Mi)
% 21.61/4.23  % (26229)Instruction limit reached!
% 21.61/4.23  % (26229)------------------------------
% 21.61/4.23  % (26229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.61/4.23  % (26229)Termination reason: Unknown
% 21.61/4.23  % (26229)Termination phase: Saturation
% 21.61/4.23  
% 21.61/4.23  % (26229)Memory used [KB]: 7036
% 21.61/4.23  % (26229)Time elapsed: 0.197 s
% 21.61/4.23  % (26229)Instructions burned: 594 (million)
% 21.61/4.23  % (26229)------------------------------
% 21.61/4.23  % (26229)------------------------------
% 21.61/4.23  % (26231)Instruction limit reached!
% 21.61/4.23  % (26231)------------------------------
% 21.61/4.23  % (26231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.61/4.23  % (26231)Termination reason: Unknown
% 21.61/4.23  % (26231)Termination phase: Saturation
% 21.61/4.23  
% 21.61/4.23  % (26231)Memory used [KB]: 6780
% 21.61/4.23  % (26231)Time elapsed: 0.168 s
% 21.61/4.23  % (26231)Instructions burned: 571 (million)
% 21.61/4.23  % (26231)------------------------------
% 21.61/4.23  % (26231)------------------------------
% 21.61/4.24  % (26233)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_25817 for (2970ds/562Mi)
% 21.61/4.24  % (26234)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_25817 for (2970ds/406Mi)
% 22.26/4.32  % (26232)Instruction limit reached!
% 22.26/4.32  % (26232)------------------------------
% 22.26/4.32  % (26232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.26/4.32  % (26232)Termination reason: Unknown
% 22.26/4.32  % (26232)Termination phase: Saturation
% 22.26/4.32  
% 22.26/4.32  % (26232)Memory used [KB]: 6780
% 22.26/4.32  % (26232)Time elapsed: 0.143 s
% 22.26/4.32  % (26232)Instructions burned: 503 (million)
% 22.26/4.32  % (26232)------------------------------
% 22.26/4.32  % (26232)------------------------------
% 22.26/4.33  % (26235)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_25817 for (2969ds/582Mi)
% 22.26/4.37  % (26234)Instruction limit reached!
% 22.26/4.37  % (26234)------------------------------
% 22.26/4.37  % (26234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.26/4.37  % (26234)Termination reason: Unknown
% 22.26/4.37  % (26234)Termination phase: Saturation
% 22.26/4.37  
% 22.26/4.37  % (26234)Memory used [KB]: 7036
% 22.26/4.37  % (26234)Time elapsed: 0.132 s
% 22.26/4.37  % (26234)Instructions burned: 406 (million)
% 22.26/4.37  % (26234)------------------------------
% 22.26/4.37  % (26234)------------------------------
% 22.26/4.38  % (26236)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_25817 for (2969ds/456Mi)
% 22.87/4.40  % (26233)Instruction limit reached!
% 22.87/4.40  % (26233)------------------------------
% 22.87/4.40  % (26233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.87/4.40  % (26233)Termination reason: Unknown
% 22.87/4.40  % (26233)Termination phase: Saturation
% 22.87/4.40  
% 22.87/4.40  % (26233)Memory used [KB]: 7291
% 22.87/4.40  % (26233)Time elapsed: 0.166 s
% 22.87/4.40  % (26233)Instructions burned: 565 (million)
% 22.87/4.40  % (26233)------------------------------
% 22.87/4.40  % (26233)------------------------------
% 22.87/4.41  % (26237)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_25817 for (2968ds/393Mi)
% 22.87/4.48  % (26225)Instruction limit reached!
% 22.87/4.48  % (26225)------------------------------
% 22.87/4.48  % (26225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.87/4.48  % (26225)Termination reason: Unknown
% 22.87/4.48  % (26225)Termination phase: Saturation
% 22.87/4.48  
% 22.87/4.48  % (26225)Memory used [KB]: 8059
% 22.87/4.48  % (26225)Time elapsed: 0.501 s
% 22.87/4.48  % (26225)Instructions burned: 1763 (million)
% 22.87/4.48  % (26225)------------------------------
% 22.87/4.48  % (26225)------------------------------
% 22.87/4.49  % (26238)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_25817 for (2968ds/1335Mi)
% 22.87/4.49  % (26230)Instruction limit reached!
% 22.87/4.49  % (26230)------------------------------
% 22.87/4.49  % (26230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.87/4.49  % (26230)Termination reason: Unknown
% 22.87/4.49  % (26230)Termination phase: Saturation
% 22.87/4.49  
% 22.87/4.49  % (26230)Memory used [KB]: 6652
% 22.87/4.49  % (26230)Time elapsed: 0.456 s
% 22.87/4.49  % (26230)Instructions burned: 1514 (million)
% 22.87/4.49  % (26230)------------------------------
% 22.87/4.49  % (26230)------------------------------
% 22.87/4.50  % (26239)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_25817 for (2967ds/3373Mi)
% 23.77/4.51  % (26235)Instruction limit reached!
% 23.77/4.51  % (26235)------------------------------
% 23.77/4.51  % (26235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.77/4.51  % (26235)Termination reason: Unknown
% 23.77/4.51  % (26235)Termination phase: Saturation
% 23.77/4.51  
% 23.77/4.51  % (26235)Memory used [KB]: 6396
% 23.77/4.51  % (26235)Time elapsed: 0.178 s
% 23.77/4.51  % (26235)Instructions burned: 584 (million)
% 23.77/4.51  % (26235)------------------------------
% 23.77/4.51  % (26235)------------------------------
% 23.77/4.52  % (26240)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_25817 for (2967ds/474Mi)
% 23.77/4.52  % (26236)Instruction limit reached!
% 23.77/4.52  % (26236)------------------------------
% 23.77/4.52  % (26236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.77/4.52  % (26236)Termination reason: Unknown
% 23.77/4.52  % (26236)Termination phase: Saturation
% 23.77/4.52  
% 23.77/4.52  % (26236)Memory used [KB]: 6396
% 23.77/4.52  % (26236)Time elapsed: 0.142 s
% 23.77/4.52  % (26236)Instructions burned: 457 (million)
% 23.77/4.52  % (26236)------------------------------
% 23.77/4.52  % (26236)------------------------------
% 23.77/4.53  % (26237)Instruction limit reached!
% 23.77/4.53  % (26237)------------------------------
% 23.77/4.53  % (26237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.77/4.53  % (26237)Termination reason: Unknown
% 23.77/4.53  % (26237)Termination phase: Saturation
% 23.77/4.53  
% 23.77/4.53  % (26237)Memory used [KB]: 6140
% 23.77/4.53  % (26237)Time elapsed: 0.118 s
% 23.77/4.53  % (26237)Instructions burned: 394 (million)
% 23.77/4.53  % (26237)------------------------------
% 23.77/4.53  % (26237)------------------------------
% 23.77/4.53  % (26241)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_25817 for (2967ds/157Mi)
% 23.77/4.54  % (26242)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_25817 for (2967ds/590Mi)
% 23.77/4.57  % (26241)Instruction limit reached!
% 23.77/4.57  % (26241)------------------------------
% 23.77/4.57  % (26241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.77/4.57  % (26241)Termination reason: Unknown
% 23.77/4.57  % (26241)Termination phase: Saturation
% 23.77/4.57  
% 23.77/4.57  % (26241)Memory used [KB]: 7419
% 23.77/4.57  % (26241)Time elapsed: 0.046 s
% 23.77/4.57  % (26241)Instructions burned: 160 (million)
% 23.77/4.57  % (26241)------------------------------
% 23.77/4.57  % (26241)------------------------------
% 23.77/4.58  % (26243)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_25817 for (2967ds/104Mi)
% 24.49/4.62  % (26243)Instruction limit reached!
% 24.49/4.62  % (26243)------------------------------
% 24.49/4.62  % (26243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.49/4.62  % (26243)Termination reason: Unknown
% 24.49/4.62  % (26243)Termination phase: Saturation
% 24.49/4.62  
% 24.49/4.62  % (26243)Memory used [KB]: 6012
% 24.49/4.62  % (26243)Time elapsed: 0.034 s
% 24.49/4.62  % (26243)Instructions burned: 105 (million)
% 24.49/4.62  % (26243)------------------------------
% 24.49/4.62  % (26243)------------------------------
% 24.49/4.63  % (26244)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_25817 for (2966ds/414Mi)
% 24.49/4.66  % (26240)Instruction limit reached!
% 24.49/4.66  % (26240)------------------------------
% 24.49/4.66  % (26240)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.49/4.66  % (26240)Termination reason: Unknown
% 24.49/4.66  % (26240)Termination phase: Saturation
% 24.49/4.66  
% 24.49/4.66  % (26240)Memory used [KB]: 6524
% 24.49/4.66  % (26240)Time elapsed: 0.146 s
% 24.49/4.66  % (26240)Instructions burned: 474 (million)
% 24.49/4.66  % (26240)------------------------------
% 24.49/4.66  % (26240)------------------------------
% 24.49/4.67  % (26245)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_25817 for (2966ds/715Mi)
% 24.88/4.71  % (26242)Instruction limit reached!
% 24.88/4.71  % (26242)------------------------------
% 24.88/4.71  % (26242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.88/4.71  % (26242)Termination reason: Unknown
% 24.88/4.71  % (26242)Termination phase: Saturation
% 24.88/4.71  
% 24.88/4.71  % (26242)Memory used [KB]: 6396
% 24.88/4.71  % (26242)Time elapsed: 0.171 s
% 24.88/4.71  % (26242)Instructions burned: 591 (million)
% 24.88/4.71  % (26242)------------------------------
% 24.88/4.71  % (26242)------------------------------
% 24.88/4.72  % (26246)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_25817 for (2965ds/961Mi)
% 24.88/4.75  % (26244)Instruction limit reached!
% 24.88/4.75  % (26244)------------------------------
% 24.88/4.75  % (26244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.88/4.75  % (26244)Termination reason: Unknown
% 24.88/4.75  % (26244)Termination phase: Saturation
% 24.88/4.75  
% 24.88/4.75  % (26244)Memory used [KB]: 6140
% 24.88/4.75  % (26244)Time elapsed: 0.123 s
% 24.88/4.75  % (26244)Instructions burned: 415 (million)
% 24.88/4.75  % (26244)------------------------------
% 24.88/4.75  % (26244)------------------------------
% 24.88/4.76  % (26247)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_25817 for (2965ds/1213Mi)
% 25.41/4.87  % (26238)Instruction limit reached!
% 25.41/4.87  % (26238)------------------------------
% 25.41/4.87  % (26238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.41/4.87  % (26238)Termination reason: Unknown
% 25.41/4.87  % (26238)Termination phase: Saturation
% 25.41/4.87  
% 25.41/4.87  % (26238)Memory used [KB]: 6908
% 25.41/4.87  % (26238)Time elapsed: 0.386 s
% 25.41/4.87  % (26238)Instructions burned: 1337 (million)
% 25.41/4.87  % (26238)------------------------------
% 25.41/4.87  % (26238)------------------------------
% 25.41/4.87  % (26245)Instruction limit reached!
% 25.41/4.87  % (26245)------------------------------
% 25.41/4.87  % (26245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.41/4.87  % (26245)Termination reason: Unknown
% 25.41/4.87  % (26245)Termination phase: Saturation
% 25.41/4.87  
% 25.41/4.87  % (26245)Memory used [KB]: 3070
% 25.41/4.87  % (26245)Time elapsed: 0.199 s
% 25.41/4.87  % (26245)Instructions burned: 717 (million)
% 25.41/4.87  % (26245)------------------------------
% 25.41/4.87  % (26245)------------------------------
% 25.41/4.88  % (26248)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_25817 for (2964ds/1979Mi)
% 25.41/4.88  % (26249)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_25817 for (2964ds/481Mi)
% 26.21/5.01  % (26246)Instruction limit reached!
% 26.21/5.01  % (26246)------------------------------
% 26.21/5.01  % (26246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.21/5.01  % (26246)Termination reason: Unknown
% 26.21/5.01  % (26246)Termination phase: Saturation
% 26.21/5.01  
% 26.21/5.01  % (26246)Memory used [KB]: 7164
% 26.21/5.01  % (26246)Time elapsed: 0.295 s
% 26.21/5.01  % (26246)Instructions burned: 962 (million)
% 26.21/5.01  % (26246)------------------------------
% 26.21/5.01  % (26246)------------------------------
% 27.56/5.03  % (26250)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_25817 for (2962ds/783Mi)
% 27.56/5.03  % (26249)Instruction limit reached!
% 27.56/5.03  % (26249)------------------------------
% 27.56/5.03  % (26249)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.56/5.03  % (26249)Termination reason: Unknown
% 27.56/5.03  % (26249)Termination phase: Saturation
% 27.56/5.03  
% 27.56/5.03  % (26249)Memory used [KB]: 6268
% 27.56/5.03  % (26249)Time elapsed: 0.152 s
% 27.56/5.03  % (26249)Instructions burned: 482 (million)
% 27.56/5.03  % (26249)------------------------------
% 27.56/5.03  % (26249)------------------------------
% 27.56/5.04  % (26251)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_25817 for (2962ds/432Mi)
% 27.56/5.11  % (26247)Instruction limit reached!
% 27.56/5.11  % (26247)------------------------------
% 27.56/5.11  % (26247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.56/5.11  % (26247)Termination reason: Unknown
% 27.56/5.11  % (26247)Termination phase: Saturation
% 27.56/5.11  
% 27.56/5.11  % (26247)Memory used [KB]: 7419
% 27.56/5.11  % (26247)Time elapsed: 0.354 s
% 27.56/5.11  % (26247)Instructions burned: 1213 (million)
% 27.56/5.11  % (26247)------------------------------
% 27.56/5.11  % (26247)------------------------------
% 27.56/5.12  % (26252)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_25817 for (2961ds/1670Mi)
% 28.36/5.16  % (26251)Instruction limit reached!
% 28.36/5.16  % (26251)------------------------------
% 28.36/5.16  % (26251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.36/5.16  % (26251)Termination reason: Unknown
% 28.36/5.16  % (26251)Termination phase: Saturation
% 28.36/5.16  
% 28.36/5.16  % (26251)Memory used [KB]: 6908
% 28.36/5.16  % (26251)Time elapsed: 0.123 s
% 28.36/5.16  % (26251)Instructions burned: 432 (million)
% 28.36/5.16  % (26251)------------------------------
% 28.36/5.16  % (26251)------------------------------
% 28.36/5.17  % (26253)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_25817 for (2961ds/90Mi)
% 28.79/5.20  % (26253)Instruction limit reached!
% 28.79/5.20  % (26253)------------------------------
% 28.79/5.20  % (26253)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.79/5.20  % (26253)Termination reason: Unknown
% 28.79/5.20  % (26253)Termination phase: Saturation
% 28.79/5.20  
% 28.79/5.20  % (26253)Memory used [KB]: 6012
% 28.79/5.20  % (26253)Time elapsed: 0.031 s
% 28.79/5.20  % (26253)Instructions burned: 92 (million)
% 28.79/5.20  % (26253)------------------------------
% 28.79/5.20  % (26253)------------------------------
% 28.79/5.21  % (26254)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_25817 for (2960ds/346Mi)
% 28.79/5.27  % (26250)Instruction limit reached!
% 28.79/5.27  % (26250)------------------------------
% 28.79/5.27  % (26250)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.79/5.27  % (26250)Termination reason: Unknown
% 28.79/5.27  % (26250)Termination phase: Saturation
% 28.79/5.27  
% 28.79/5.27  % (26250)Memory used [KB]: 8187
% 28.79/5.27  % (26250)Time elapsed: 0.238 s
% 28.79/5.27  % (26250)Instructions burned: 786 (million)
% 28.79/5.27  % (26250)------------------------------
% 28.79/5.27  % (26250)------------------------------
% 28.79/5.28  % (26255)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_25817 for (2960ds/401Mi)
% 29.48/5.32  % (26254)Instruction limit reached!
% 29.48/5.32  % (26254)------------------------------
% 29.48/5.32  % (26254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.48/5.32  % (26254)Termination reason: Unknown
% 29.48/5.32  % (26254)Termination phase: Saturation
% 29.48/5.32  
% 29.48/5.32  % (26254)Memory used [KB]: 6268
% 29.48/5.32  % (26254)Time elapsed: 0.107 s
% 29.48/5.32  % (26254)Instructions burned: 348 (million)
% 29.48/5.32  % (26254)------------------------------
% 29.48/5.32  % (26254)------------------------------
% 29.48/5.33  % (26256)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_25817 for (2959ds/6454Mi)
% 29.48/5.36  % (26239)Instruction limit reached!
% 29.48/5.36  % (26239)------------------------------
% 29.48/5.36  % (26239)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.48/5.36  % (26239)Termination reason: Unknown
% 29.48/5.36  % (26239)Termination phase: Saturation
% 29.48/5.36  
% 29.48/5.36  % (26239)Memory used [KB]: 9722
% 29.48/5.36  % (26239)Time elapsed: 0.861 s
% 29.48/5.36  % (26239)Instructions burned: 3376 (million)
% 29.48/5.36  % (26239)------------------------------
% 29.48/5.36  % (26239)------------------------------
% 29.48/5.37  % (26257)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_25817 for (2959ds/283Mi)
% 29.48/5.39  % (26255)Instruction limit reached!
% 29.48/5.39  % (26255)------------------------------
% 29.48/5.39  % (26255)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.48/5.39  % (26255)Termination reason: Unknown
% 29.48/5.39  % (26255)Termination phase: Saturation
% 29.48/5.39  
% 29.48/5.39  % (26255)Memory used [KB]: 7675
% 29.48/5.39  % (26255)Time elapsed: 0.114 s
% 29.48/5.39  % (26255)Instructions burned: 402 (million)
% 29.48/5.39  % (26255)------------------------------
% 29.48/5.39  % (26255)------------------------------
% 30.09/5.40  % (26258)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_25817 for (2958ds/865Mi)
% 30.09/5.40  % (26248)Refutation not found, non-redundant clauses discarded% (26248)------------------------------
% 30.09/5.40  % (26248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.09/5.40  % (26248)Termination reason: Refutation not found, non-redundant clauses discarded
% 30.09/5.40  
% 30.09/5.40  % (26248)Memory used [KB]: 7164
% 30.09/5.40  % (26248)Time elapsed: 0.524 s
% 30.09/5.40  % (26248)Instructions burned: 1964 (million)
% 30.09/5.40  % (26248)------------------------------
% 30.09/5.40  % (26248)------------------------------
% 30.09/5.41  % (26259)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_25817 for (2958ds/4528Mi)
% 30.09/5.41  % (26224)Instruction limit reached!
% 30.09/5.41  % (26224)------------------------------
% 30.09/5.41  % (26224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.09/5.41  % (26224)Termination reason: Unknown
% 30.09/5.41  % (26224)Termination phase: Saturation
% 30.09/5.41  
% 30.09/5.41  % (26224)Memory used [KB]: 8955
% 30.09/5.41  % (26224)Time elapsed: 1.483 s
% 30.09/5.41  % (26224)Instructions burned: 5415 (million)
% 30.09/5.41  % (26224)------------------------------
% 30.09/5.41  % (26224)------------------------------
% 30.09/5.42  % (26260)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_25817 for (2958ds/1001Mi)
% 30.09/5.45  % (26257)Instruction limit reached!
% 30.09/5.45  % (26257)------------------------------
% 30.09/5.45  % (26257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.09/5.45  % (26257)Termination reason: Unknown
% 30.09/5.45  % (26257)Termination phase: Saturation
% 30.09/5.45  
% 30.09/5.45  % (26257)Memory used [KB]: 6652
% 30.09/5.45  % (26257)Time elapsed: 0.081 s
% 30.09/5.45  % (26257)Instructions burned: 283 (million)
% 30.09/5.45  % (26257)------------------------------
% 30.09/5.45  % (26257)------------------------------
% 30.09/5.45  % (26261)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_25817 for (2958ds/102Mi)
% 30.09/5.49  % (26261)Instruction limit reached!
% 30.09/5.49  % (26261)------------------------------
% 30.09/5.49  % (26261)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.09/5.49  % (26261)Termination reason: Unknown
% 30.09/5.49  % (26261)Termination phase: Saturation
% 30.09/5.49  
% 30.09/5.49  % (26261)Memory used [KB]: 5884
% 30.09/5.49  % (26261)Time elapsed: 0.032 s
% 30.09/5.49  % (26261)Instructions burned: 103 (million)
% 30.09/5.49  % (26261)------------------------------
% 30.09/5.49  % (26261)------------------------------
% 30.09/5.50  % (26262)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_25817 for (2957ds/952Mi)
% 30.35/5.57  % (26212)Instruction limit reached!
% 30.35/5.57  % (26212)------------------------------
% 30.35/5.57  % (26212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.35/5.57  % (26212)Termination reason: Unknown
% 30.35/5.57  % (26212)Termination phase: Saturation
% 30.35/5.57  
% 30.35/5.57  % (26212)Memory used [KB]: 13816
% 30.35/5.57  % (26212)Time elapsed: 2.418 s
% 30.35/5.57  % (26212)Instructions burned: 8251 (million)
% 30.35/5.57  % (26212)------------------------------
% 30.35/5.57  % (26212)------------------------------
% 30.35/5.58  % (26263)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_25817 for (2957ds/578Mi)
% 30.44/5.60  % (26252)Instruction limit reached!
% 30.44/5.60  % (26252)------------------------------
% 30.44/5.60  % (26252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.44/5.60  % (26252)Termination reason: Unknown
% 30.44/5.60  % (26252)Termination phase: Saturation
% 30.44/5.60  
% 30.44/5.60  % (26252)Memory used [KB]: 7291
% 30.44/5.60  % (26252)Time elapsed: 0.482 s
% 30.44/5.60  % (26252)Instructions burned: 1672 (million)
% 30.44/5.60  % (26252)------------------------------
% 30.44/5.60  % (26252)------------------------------
% 30.44/5.61  % (26264)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_25817 for (2956ds/643Mi)
% 30.44/5.68  % (26258)Instruction limit reached!
% 30.44/5.68  % (26258)------------------------------
% 30.44/5.68  % (26258)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.44/5.68  % (26258)Termination reason: Unknown
% 30.44/5.68  % (26258)Termination phase: Saturation
% 30.44/5.68  
% 30.44/5.68  % (26258)Memory used [KB]: 7291
% 30.44/5.68  % (26258)Time elapsed: 0.277 s
% 30.44/5.68  % (26258)Instructions burned: 867 (million)
% 30.44/5.68  % (26258)------------------------------
% 30.44/5.68  % (26258)------------------------------
% 30.44/5.69  % (26265)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_25817 for (2956ds/865Mi)
% 31.23/5.71  % (26260)Instruction limit reached!
% 31.23/5.71  % (26260)------------------------------
% 31.23/5.71  % (26260)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.23/5.71  % (26260)Termination reason: Unknown
% 31.23/5.71  % (26260)Termination phase: Saturation
% 31.23/5.71  
% 31.23/5.71  % (26260)Memory used [KB]: 8699
% 31.23/5.71  % (26260)Time elapsed: 0.287 s
% 31.23/5.71  % (26260)Instructions burned: 1001 (million)
% 31.23/5.71  % (26260)------------------------------
% 31.23/5.71  % (26260)------------------------------
% 31.23/5.72  % (26266)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_25817 for (2955ds/1174Mi)
% 31.23/5.75  % (26263)Instruction limit reached!
% 31.23/5.75  % (26263)------------------------------
% 31.23/5.75  % (26263)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.23/5.75  % (26263)Termination reason: Unknown
% 31.23/5.75  % (26263)Termination phase: Saturation
% 31.23/5.75  
% 31.23/5.75  % (26263)Memory used [KB]: 6396
% 31.23/5.75  % (26263)Time elapsed: 0.166 s
% 31.23/5.75  % (26263)Instructions burned: 581 (million)
% 31.23/5.75  % (26263)------------------------------
% 31.23/5.75  % (26263)------------------------------
% 31.23/5.75  % (26267)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_25817 for (2955ds/644Mi)
% 31.23/5.77  % (26262)Instruction limit reached!
% 31.23/5.77  % (26262)------------------------------
% 31.23/5.77  % (26262)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.23/5.77  % (26262)Termination reason: Unknown
% 31.23/5.77  % (26262)Termination phase: Saturation
% 31.23/5.77  
% 31.23/5.77  % (26262)Memory used [KB]: 7419
% 31.23/5.77  % (26262)Time elapsed: 0.277 s
% 31.23/5.77  % (26262)Instructions burned: 952 (million)
% 31.23/5.77  % (26262)------------------------------
% 31.23/5.77  % (26262)------------------------------
% 31.23/5.78  % (26268)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_25817 for (2955ds/1201Mi)
% 31.98/5.80  % (26264)Instruction limit reached!
% 31.98/5.80  % (26264)------------------------------
% 31.98/5.80  % (26264)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.98/5.80  % (26264)Termination reason: Unknown
% 31.98/5.80  % (26264)Termination phase: Saturation
% 31.98/5.80  
% 31.98/5.80  % (26264)Memory used [KB]: 7803
% 31.98/5.80  % (26264)Time elapsed: 0.187 s
% 31.98/5.80  % (26264)Instructions burned: 646 (million)
% 31.98/5.80  % (26264)------------------------------
% 31.98/5.80  % (26264)------------------------------
% 31.98/5.81  % (26269)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_25817 for (2954ds/1046Mi)
% 32.18/5.92  % (26265)Instruction limit reached!
% 32.18/5.92  % (26265)------------------------------
% 32.18/5.92  % (26265)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.18/5.92  % (26265)Termination reason: Unknown
% 32.18/5.92  % (26265)Termination phase: Saturation
% 32.18/5.92  
% 32.18/5.92  % (26265)Memory used [KB]: 8187
% 32.18/5.92  % (26265)Time elapsed: 0.233 s
% 32.18/5.92  % (26265)Instructions burned: 867 (million)
% 32.18/5.92  % (26265)------------------------------
% 32.18/5.92  % (26265)------------------------------
% 32.18/5.93  % (26270)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_25817 for (2953ds/222Mi)
% 32.18/5.94  % (26267)Instruction limit reached!
% 32.18/5.94  % (26267)------------------------------
% 32.18/5.94  % (26267)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.18/5.94  % (26267)Termination reason: Unknown
% 32.18/5.94  % (26267)Termination phase: Saturation
% 32.18/5.94  
% 32.18/5.94  % (26267)Memory used [KB]: 6396
% 32.18/5.94  % (26267)Time elapsed: 0.190 s
% 32.18/5.94  % (26267)Instructions burned: 644 (million)
% 32.18/5.94  % (26267)------------------------------
% 32.18/5.94  % (26267)------------------------------
% 32.18/5.95  % (26271)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_25817 for (2953ds/68Mi)
% 32.18/5.97  % (26271)Instruction limit reached!
% 32.18/5.97  % (26271)------------------------------
% 32.18/5.97  % (26271)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.18/5.97  % (26271)Termination reason: Unknown
% 32.18/5.97  % (26271)Termination phase: Saturation
% 32.18/5.97  
% 32.18/5.97  % (26271)Memory used [KB]: 5884
% 32.18/5.97  % (26271)Time elapsed: 0.022 s
% 32.18/5.97  % (26271)Instructions burned: 68 (million)
% 32.18/5.97  % (26271)------------------------------
% 32.18/5.97  % (26271)------------------------------
% 32.18/5.98  % (26272)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_25817 for (2953ds/454Mi)
% 32.18/5.99  % (26270)Instruction limit reached!
% 32.18/5.99  % (26270)------------------------------
% 32.18/5.99  % (26270)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 32.18/5.99  % (26270)Termination reason: Unknown
% 32.18/5.99  % (26270)Termination phase: Saturation
% 32.18/5.99  
% 32.18/5.99  % (26270)Memory used [KB]: 6268
% 32.18/5.99  % (26270)Time elapsed: 0.068 s
% 32.18/5.99  % (26270)Instructions burned: 225 (million)
% 32.18/5.99  % (26270)------------------------------
% 32.18/5.99  % (26270)------------------------------
% 32.18/6.00  % (26273)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_25817 for (2952ds/360Mi)
% 34.86/6.05  % (26269)Instruction limit reached!
% 34.86/6.05  % (26269)------------------------------
% 34.86/6.05  % (26269)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.86/6.05  % (26269)Termination reason: Unknown
% 34.86/6.05  % (26269)Termination phase: Saturation
% 34.86/6.05  
% 34.86/6.05  % (26269)Memory used [KB]: 6268
% 34.86/6.05  % (26269)Time elapsed: 0.247 s
% 34.86/6.05  % (26269)Instructions burned: 1047 (million)
% 34.86/6.05  % (26269)------------------------------
% 34.86/6.05  % (26269)------------------------------
% 34.86/6.06  % (26274)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_25817 for (2952ds/157Mi)
% 34.86/6.07  % (26266)Instruction limit reached!
% 34.86/6.07  % (26266)------------------------------
% 34.86/6.07  % (26266)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.86/6.07  % (26266)Termination reason: Unknown
% 34.86/6.07  % (26266)Termination phase: Saturation
% 34.86/6.07  
% 34.86/6.07  % (26266)Memory used [KB]: 7675
% 34.86/6.07  % (26266)Time elapsed: 0.350 s
% 34.86/6.07  % (26266)Instructions burned: 1175 (million)
% 34.86/6.07  % (26266)------------------------------
% 34.86/6.07  % (26266)------------------------------
% 34.86/6.08  % (26275)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_25817 for (2952ds/5061Mi)
% 34.86/6.11  % (26274)Instruction limit reached!
% 34.86/6.11  % (26274)------------------------------
% 34.86/6.11  % (26274)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.86/6.11  % (26274)Termination reason: Unknown
% 34.86/6.11  % (26274)Termination phase: Saturation
% 34.86/6.11  
% 34.86/6.11  % (26274)Memory used [KB]: 6780
% 34.86/6.11  % (26274)Time elapsed: 0.046 s
% 34.86/6.11  % (26274)Instructions burned: 159 (million)
% 34.86/6.11  % (26274)------------------------------
% 34.86/6.11  % (26274)------------------------------
% 34.86/6.11  % (26273)Instruction limit reached!
% 34.86/6.11  % (26273)------------------------------
% 34.86/6.11  % (26273)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.86/6.11  % (26273)Termination reason: Unknown
% 34.86/6.11  % (26273)Termination phase: Saturation
% 34.86/6.11  
% 34.86/6.11  % (26273)Memory used [KB]: 6652
% 34.86/6.11  % (26273)Time elapsed: 0.105 s
% 34.86/6.11  % (26273)Instructions burned: 361 (million)
% 34.86/6.11  % (26273)------------------------------
% 34.86/6.11  % (26273)------------------------------
% 34.86/6.11  % (26272)Instruction limit reached!
% 34.86/6.11  % (26272)------------------------------
% 34.86/6.11  % (26272)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.86/6.11  % (26272)Termination reason: Unknown
% 34.86/6.11  % (26272)Termination phase: Saturation
% 34.86/6.11  
% 34.86/6.11  % (26272)Memory used [KB]: 11513
% 34.86/6.11  % (26272)Time elapsed: 0.131 s
% 34.86/6.11  % (26272)Instructions burned: 456 (million)
% 34.86/6.11  % (26272)------------------------------
% 34.86/6.11  % (26272)------------------------------
% 34.86/6.12  % (26276)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_25817 for (2951ds/2401Mi)
% 34.86/6.12  % (26277)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_25817 for (2951ds/5798Mi)
% 34.86/6.12  % (26278)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_25817 for (2951ds/346Mi)
% 35.51/6.14  % (26268)Instruction limit reached!
% 35.51/6.14  % (26268)------------------------------
% 35.51/6.14  % (26268)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.51/6.14  % (26268)Termination reason: Unknown
% 35.51/6.14  % (26268)Termination phase: Saturation
% 35.51/6.14  
% 35.51/6.14  % (26268)Memory used [KB]: 8955
% 35.51/6.14  % (26268)Time elapsed: 0.357 s
% 35.51/6.14  % (26268)Instructions burned: 1202 (million)
% 35.51/6.14  % (26268)------------------------------
% 35.51/6.14  % (26268)------------------------------
% 35.51/6.15  % (26279)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_25817 for (2951ds/1321Mi)
% 35.68/6.23  % (26278)Instruction limit reached!
% 35.68/6.23  % (26278)------------------------------
% 35.68/6.23  % (26278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.68/6.23  % (26278)Termination reason: Unknown
% 35.68/6.23  % (26278)Termination phase: Saturation
% 35.68/6.23  
% 35.68/6.23  % (26278)Memory used [KB]: 6268
% 35.68/6.23  % (26278)Time elapsed: 0.108 s
% 35.68/6.23  % (26278)Instructions burned: 348 (million)
% 35.68/6.23  % (26278)------------------------------
% 35.68/6.23  % (26278)------------------------------
% 35.68/6.24  % (26280)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_25817 for (2950ds/1312Mi)
% 36.40/6.53  % (26279)Instruction limit reached!
% 36.40/6.53  % (26279)------------------------------
% 36.40/6.53  % (26279)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.40/6.53  % (26279)Termination reason: Unknown
% 36.40/6.53  % (26279)Termination phase: Saturation
% 36.40/6.53  
% 36.40/6.53  % (26279)Memory used [KB]: 3198
% 36.40/6.53  % (26279)Time elapsed: 0.381 s
% 36.40/6.53  % (26279)Instructions burned: 1321 (million)
% 36.40/6.53  % (26279)------------------------------
% 36.40/6.53  % (26279)------------------------------
% 36.40/6.54  % (26281)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_25817 for (2947ds/672Mi)
% 36.40/6.57  % (26256)First to succeed.
% 36.40/6.57  % (26259)Instruction limit reached!
% 36.40/6.57  % (26259)------------------------------
% 36.40/6.57  % (26259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.40/6.57  % (26259)Termination reason: Unknown
% 36.40/6.57  % (26259)Termination phase: Saturation
% 36.40/6.57  
% 36.40/6.57  % (26259)Memory used [KB]: 3582
% 36.40/6.57  % (26259)Time elapsed: 1.158 s
% 36.40/6.57  % (26259)Instructions burned: 4529 (million)
% 36.40/6.57  % (26259)------------------------------
% 36.40/6.57  % (26259)------------------------------
% 36.40/6.57  % (26256)Refutation found. Thanks to Tanya!
% 36.40/6.57  % SZS status Theorem for DTF2THF_25817
% 36.40/6.57  % SZS output start Proof for DTF2THF_25817
% 36.40/6.57  thf(type_def_5, type, a: $tType).
% 36.40/6.57  thf(func_def_0, type, a: $tType).
% 36.40/6.57  thf(func_def_12, type, sP0: ((a > a > $o) > $o) > (a > a > $o) > $o).
% 36.40/6.57  thf(func_def_13, type, sK1: ((a > a > $o) > $o) > (a > a > $o) > a).
% 36.40/6.57  thf(func_def_14, type, sK2: ((a > a > $o) > $o) > (a > a > $o) > a).
% 36.40/6.57  thf(func_def_15, type, sK3: ((a > a > $o) > $o) > (a > a > $o) > a > a > $o).
% 36.40/6.57  thf(func_def_16, type, sK4: ((a > a > $o) > $o) > (a > a > $o) > a > a > $o).
% 36.40/6.57  thf(func_def_17, type, sK5: a).
% 36.40/6.57  thf(func_def_18, type, sK6: (a > a > $o) > $o).
% 36.40/6.57  thf(func_def_19, type, sK7: a).
% 36.40/6.57  thf(func_def_20, type, sK8: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_21, type, sK9: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_22, type, sK10: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_23, type, sK11: a > a > $o).
% 36.40/6.57  thf(func_def_26, type, ph13: !>[X0: $tType]:(X0)).
% 36.40/6.57  thf(func_def_28, type, sK14: a > a > a > a > $o).
% 36.40/6.57  thf(func_def_29, type, sK15: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_30, type, sK16: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_31, type, sK17: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_32, type, sK18: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_33, type, sK19: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_34, type, sK20: a > a > a > a > $o).
% 36.40/6.57  thf(func_def_35, type, sK21: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_36, type, sK22: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_37, type, sK23: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_38, type, sK24: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_39, type, sK25: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_40, type, sK26: a > a > a > a > $o).
% 36.40/6.57  thf(func_def_41, type, sK27: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_42, type, sK28: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_43, type, sK29: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_44, type, sK30: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_45, type, sK31: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_46, type, sK32: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_47, type, sK33: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_48, type, sK34: a > a > a > a > $o).
% 36.40/6.57  thf(func_def_49, type, sK35: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_50, type, sK36: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_51, type, sK37: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_52, type, sK38: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_53, type, sK39: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_54, type, sK40: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_55, type, sK41: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_56, type, sK42: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_57, type, sK43: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_58, type, sK44: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_59, type, sK45: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_60, type, sK46: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_61, type, sK47: a > a > a > a > $o).
% 36.40/6.57  thf(func_def_62, type, sK48: a > a > a > a > $o).
% 36.40/6.57  thf(func_def_63, type, sK49: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_64, type, sK50: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_65, type, sK51: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_66, type, sK52: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_67, type, sK53: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_68, type, sK54: a > a > a > a > $o).
% 36.40/6.57  thf(func_def_69, type, sK55: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_70, type, sK56: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_71, type, sK57: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_72, type, sK58: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_73, type, sK59: (a > a > $o) > a).
% 36.40/6.57  thf(func_def_74, type, sK60: (a > a > $o) > a).
% 36.40/6.57  thf(f10509,plain,(
% 36.40/6.57    $false),
% 36.40/6.57    inference(avatar_sat_refutation,[status(thm)],[f180,f260,f1973,f7699,f8120,f8274,f10479,f10492,f10500])).
% 36.40/6.57  thf(f10500,plain,(
% 36.40/6.57    ~spl12_14 | ~spl12_162 | spl12_488),
% 36.40/6.57    inference(avatar_contradiction_clause,[status(thm)],[f10499])).
% 36.40/6.57  thf(f10499,plain,(
% 36.40/6.57    $false | (~spl12_14 | ~spl12_162 | spl12_488)),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f10498])).
% 36.40/6.57  thf(f10498,plain,(
% 36.40/6.57    ($false = $true) | (~spl12_14 | ~spl12_162 | spl12_488)),
% 36.40/6.57    inference(forward_demodulation,[status(thm)],[f10497,f1967])).
% 36.40/6.57  thf(f1967,plain,(
% 36.40/6.57    ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $false) | ~spl12_162),
% 36.40/6.57    inference(avatar_component_clause,[status(thm)],[f1965])).
% 36.40/6.57  thf(f1965,definition,(
% 36.40/6.57    spl12_162 <=> ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $false)),
% 36.40/6.57    introduced(definition,[new_symbols(naming,[spl12_162])],[avatar_definition])).
% 36.40/6.57  thf(f10497,plain,(
% 36.40/6.57    ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $true) | (~spl12_14 | spl12_488)),
% 36.40/6.57    inference(subsumption_resolution,[status(thm)],[f10496,f149])).
% 36.40/6.57  thf(f149,plain,(
% 36.40/6.57    ((sP0 @ sK6 @ sK11) = $true) | ~spl12_14),
% 36.40/6.57    inference(avatar_component_clause,[status(thm)],[f147])).
% 36.40/6.57  thf(f147,definition,(
% 36.40/6.57    spl12_14 <=> ((sP0 @ sK6 @ sK11) = $true)),
% 36.40/6.57    introduced(definition,[new_symbols(naming,[spl12_14])],[avatar_definition])).
% 36.40/6.57  thf(f10496,plain,(
% 36.40/6.57    ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $true) | ((sP0 @ sK6 @ sK11) != $true) | (~spl12_14 | spl12_488)),
% 36.40/6.57    inference(subsumption_resolution,[status(thm)],[f8791,f7697])).
% 36.40/6.57  thf(f7697,plain,(
% 36.40/6.57    ((sK11 @ (sK17 @ sK11) @ (sK18 @ sK11)) != $true) | spl12_488),
% 36.40/6.57    inference(avatar_component_clause,[status(thm)],[f7696])).
% 36.40/6.57  thf(f7696,definition,(
% 36.40/6.57    spl12_488 <=> ((sK11 @ (sK17 @ sK11) @ (sK18 @ sK11)) = $true)),
% 36.40/6.57    introduced(definition,[new_symbols(naming,[spl12_488])],[avatar_definition])).
% 36.40/6.57  thf(f8791,plain,(
% 36.40/6.57    ((sK11 @ (sK17 @ sK11) @ (sK18 @ sK11)) = $true) | ((sP0 @ sK6 @ sK11) != $true) | ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $true) | ~spl12_14),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f8695])).
% 36.40/6.57  thf(f8695,plain,(
% 36.40/6.57    ((sP0 @ sK6 @ sK11) != $true) | ($true != $true) | ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $true) | ((sK11 @ (sK17 @ sK11) @ (sK18 @ sK11)) = $true) | ~spl12_14),
% 36.40/6.57    inference(superposition,[status(thm)],[f25,f4079])).
% 36.40/6.57  thf(f4079,plain,(
% 36.40/6.57    ( ! [X0 : a > a > $o] : (($true = (X0 @ (sK1 @ sK6 @ sK11) @ (sK2 @ sK6 @ sK11))) | ((sK11 @ (sK19 @ X0) @ (sK15 @ X0)) = $true) | ((X0 @ (sK17 @ X0) @ (sK18 @ X0)) = $true)) ) | ~spl12_14),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f4054])).
% 36.40/6.57  thf(f4054,plain,(
% 36.40/6.57    ( ! [X0 : a > a > $o] : (((X0 @ (sK17 @ X0) @ (sK18 @ X0)) = $true) | ($true = (X0 @ (sK1 @ sK6 @ sK11) @ (sK2 @ sK6 @ sK11))) | ((sK11 @ (sK19 @ X0) @ (sK15 @ X0)) = $true) | ($false = $true)) ) | ~spl12_14),
% 36.40/6.57    inference(superposition,[status(thm)],[f3606,f430])).
% 36.40/6.57  thf(f430,plain,(
% 36.40/6.57    ((sK3 @ sK6 @ sK11 @ (sK1 @ sK6 @ sK11) @ (sK2 @ sK6 @ sK11)) = $true) | ~spl12_14),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f425])).
% 36.40/6.57  thf(f425,plain,(
% 36.40/6.57    ($true != $true) | ((sK3 @ sK6 @ sK11 @ (sK1 @ sK6 @ sK11) @ (sK2 @ sK6 @ sK11)) = $true) | ~spl12_14),
% 36.40/6.57    inference(superposition,[status(thm)],[f22,f149])).
% 36.40/6.57  thf(f22,plain,(
% 36.40/6.57    ( ! [X0 : a > a > $o,X1 : (a > a > $o) > $o] : (((sP0 @ X1 @ X0) != $true) | ((sK3 @ X1 @ X0 @ (sK1 @ X1 @ X0) @ (sK2 @ X1 @ X0)) = $true)) )),
% 36.40/6.57    inference(cnf_transformation,[status(thm)],[f16])).
% 36.40/6.57  thf(f16,plain,(
% 36.40/6.57    ! [X0 : a > a > $o,X1 : (a > a > $o) > $o] : ((((X0 @ (sK1 @ X1 @ X0) @ (sK2 @ X1 @ X0)) != $true) & ((((X1 @ (sK4 @ X1 @ X0)) = $true) & ((sK3 @ X1 @ X0) = (^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK4 @ X1 @ X0 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1))))))))) & ((sK3 @ X1 @ X0 @ (sK1 @ X1 @ X0) @ (sK2 @ X1 @ X0)) = $true))) | ((sP0 @ X1 @ X0) != $true))),
% 36.40/6.57    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f12,f15,f14,f13])).
% 36.40/6.57  thf(f13,plain,(
% 36.40/6.57    ! [X0 : a > a > $o,X1 : (a > a > $o) > $o] : (? [X2 : a,X3 : a] : (((X0 @ X2 @ X3) != $true) & ? [X4 : a > a > $o] : (? [X5 : a > a > $o] : (((X1 @ X5) = $true) & ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X5 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1))))))) = X4)) & ((X4 @ X2 @ X3) = $true))) => (((X0 @ (sK1 @ X1 @ X0) @ (sK2 @ X1 @ X0)) != $true) & ? [X4 : a > a > $o] : (? [X5 : a > a > $o] : (((X1 @ X5) = $true) & ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X5 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1))))))) = X4)) & ((X4 @ (sK1 @ X1 @ X0) @ (sK2 @ X1 @ X0)) = $true))))),
% 36.40/6.57    introduced(definition,[],[choice_axiom])).
% 36.40/6.57  thf(f14,plain,(
% 36.40/6.57    ! [X0 : a > a > $o,X1 : (a > a > $o) > $o] : (? [X4 : a > a > $o] : (? [X5 : a > a > $o] : (((X1 @ X5) = $true) & ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X5 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1))))))) = X4)) & ((X4 @ (sK1 @ X1 @ X0) @ (sK2 @ X1 @ X0)) = $true)) => (? [X5 : a > a > $o] : (((X1 @ X5) = $true) & ((sK3 @ X1 @ X0) = (^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X5 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1))))))))) & ((sK3 @ X1 @ X0 @ (sK1 @ X1 @ X0) @ (sK2 @ X1 @ X0)) = $true)))),
% 36.40/6.57    introduced(definition,[],[choice_axiom])).
% 36.40/6.57  thf(f15,plain,(
% 36.40/6.57    ! [X0 : a > a > $o,X1 : (a > a > $o) > $o] : (? [X5 : a > a > $o] : (((X1 @ X5) = $true) & ((sK3 @ X1 @ X0) = (^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X5 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1))))))))) => (((X1 @ (sK4 @ X1 @ X0)) = $true) & ((sK3 @ X1 @ X0) = (^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK4 @ X1 @ X0 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1))))))))))),
% 36.40/6.57    introduced(definition,[],[choice_axiom])).
% 36.40/6.57  thf(f12,plain,(
% 36.40/6.57    ! [X0 : a > a > $o,X1 : (a > a > $o) > $o] : (? [X2 : a,X3 : a] : (((X0 @ X2 @ X3) != $true) & ? [X4 : a > a > $o] : (? [X5 : a > a > $o] : (((X1 @ X5) = $true) & ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X5 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1))))))) = X4)) & ((X4 @ X2 @ X3) = $true))) | ((sP0 @ X1 @ X0) != $true))),
% 36.40/6.57    inference(rectify,[status(thm)],[f11])).
% 36.40/6.57  thf(f11,plain,(
% 36.40/6.57    ! [X3 : a > a > $o,X1 : (a > a > $o) > $o] : (? [X7 : a,X8 : a] : (((X3 @ X7 @ X8) != $true) & ? [X9 : a > a > $o] : (? [X10 : a > a > $o] : (((X1 @ X10) = $true) & ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1))))))) = X9)) & ((X9 @ X7 @ X8) = $true))) | ((sP0 @ X1 @ X3) != $true))),
% 36.40/6.57    inference(nnf_transformation,[status(thm)],[f9])).
% 36.40/6.57  thf(f9,plain,(
% 36.40/6.57    ! [X3 : a > a > $o,X1 : (a > a > $o) > $o] : (? [X7 : a,X8 : a] : (((X3 @ X7 @ X8) != $true) & ? [X9 : a > a > $o] : (? [X10 : a > a > $o] : (((X1 @ X10) = $true) & ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1))))))) = X9)) & ((X9 @ X7 @ X8) = $true))) | ~((sP0 @ X1 @ X3) = $true))),
% 36.40/6.57    introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 36.40/6.57  thf(f3606,plain,(
% 36.40/6.57    ( ! [X2 : a,X0 : a > a > $o,X1 : a] : (($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((X0 @ (sK17 @ X0) @ (sK18 @ X0)) = $true) | ((sK11 @ (sK19 @ X0) @ (sK15 @ X0)) = $true) | ((X0 @ X1 @ X2) = $true)) ) | ~spl12_14),
% 36.40/6.57    inference(subsumption_resolution,[status(thm)],[f3603,f262])).
% 36.40/6.57  thf(f262,plain,(
% 36.40/6.57    ((sK6 @ (sK4 @ sK6 @ sK11)) = $true) | ~spl12_14),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f261])).
% 36.40/6.57  thf(f261,plain,(
% 36.40/6.57    ($true != $true) | ((sK6 @ (sK4 @ sK6 @ sK11)) = $true) | ~spl12_14),
% 36.40/6.57    inference(superposition,[status(thm)],[f24,f149])).
% 36.40/6.57  thf(f24,plain,(
% 36.40/6.57    ( ! [X0 : a > a > $o,X1 : (a > a > $o) > $o] : (((sP0 @ X1 @ X0) != $true) | ((X1 @ (sK4 @ X1 @ X0)) = $true)) )),
% 36.40/6.57    inference(cnf_transformation,[status(thm)],[f16])).
% 36.40/6.57  thf(f3603,plain,(
% 36.40/6.57    ( ! [X2 : a,X0 : a > a > $o,X1 : a] : (((X0 @ (sK17 @ X0) @ (sK18 @ X0)) = $true) | ((sK6 @ (sK4 @ sK6 @ sK11)) != $true) | ((sK11 @ (sK19 @ X0) @ (sK15 @ X0)) = $true) | ((X0 @ X1 @ X2) = $true) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2))) ) | ~spl12_14),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f3600])).
% 36.40/6.57  thf(f3600,plain,(
% 36.40/6.57    ( ! [X2 : a,X0 : a > a > $o,X1 : a] : (((X0 @ X1 @ X2) = $true) | ((sK11 @ (sK19 @ X0) @ (sK15 @ X0)) = $true) | ((sK6 @ (sK4 @ sK6 @ sK11)) != $true) | ($true != $true) | ((X0 @ (sK17 @ X0) @ (sK18 @ X0)) = $true) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2))) ) | ~spl12_14),
% 36.40/6.57    inference(superposition,[status(thm)],[f27,f1238])).
% 36.40/6.57  thf(f1238,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (((sK4 @ sK6 @ sK11 @ (sK19 @ X3) @ (sK15 @ X3)) = $true) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((X3 @ (sK17 @ X3) @ (sK18 @ X3)) = $true) | ((X3 @ X1 @ X2) = $true)) ) | ~spl12_14),
% 36.40/6.57    inference(binary_proxy_clausification,[status(thm)],[f1237])).
% 36.40/6.57  thf(f1237,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (((X3 @ X1 @ X2) = $true) | (((X3 @ (sK18 @ X3) @ (sK16 @ X3)) & (X3 @ (sK17 @ X3) @ (sK18 @ X3))) = $true) | ((sK4 @ sK6 @ sK11 @ (sK19 @ X3) @ (sK15 @ X3)) = $true) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2))) ) | ~spl12_14),
% 36.40/6.57    inference(binary_proxy_clausification,[status(thm)],[f1235])).
% 36.40/6.57  thf(f1235,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (((((X3 @ (sK18 @ X3) @ (sK16 @ X3)) & (X3 @ (sK17 @ X3) @ (sK18 @ X3))) => (X3 @ (sK17 @ X3) @ (sK16 @ X3))) = $false) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((X3 @ X1 @ X2) = $true) | ((sK4 @ sK6 @ sK11 @ (sK19 @ X3) @ (sK15 @ X3)) = $true)) ) | ~spl12_14),
% 36.40/6.57    inference(binary_proxy_clausification,[status(thm)],[f1233])).
% 36.40/6.57  thf(f1233,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (((X3 @ X1 @ X2) = $true) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ($false = ((sK4 @ sK6 @ sK11 @ (sK19 @ X3) @ (sK15 @ X3)) => (X3 @ (sK19 @ X3) @ (sK15 @ X3)))) | ((((X3 @ (sK18 @ X3) @ (sK16 @ X3)) & (X3 @ (sK17 @ X3) @ (sK18 @ X3))) => (X3 @ (sK17 @ X3) @ (sK16 @ X3))) = $false)) ) | ~spl12_14),
% 36.40/6.57    inference(beta_eta_normalization,[status(thm)],[f1232])).
% 36.40/6.57  thf(f1232,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((X3 @ X1 @ X2) = $true) | (((^[Y0 : a]: ((sK4 @ sK6 @ sK11 @ Y0 @ (sK15 @ X3)) => (X3 @ Y0 @ (sK15 @ X3)))) @ (sK19 @ X3)) = $false) | ((((X3 @ (sK18 @ X3) @ (sK16 @ X3)) & (X3 @ (sK17 @ X3) @ (sK18 @ X3))) => (X3 @ (sK17 @ X3) @ (sK16 @ X3))) = $false)) ) | ~spl12_14),
% 36.40/6.57    inference(sigma_clausification,[status(thm)],[f1231])).
% 36.40/6.57  thf(f1231,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((X3 @ X1 @ X2) = $true) | ((!! @ a @ (^[Y0 : a]: ((sK4 @ sK6 @ sK11 @ Y0 @ (sK15 @ X3)) => (X3 @ Y0 @ (sK15 @ X3))))) = $false) | ((((X3 @ (sK18 @ X3) @ (sK16 @ X3)) & (X3 @ (sK17 @ X3) @ (sK18 @ X3))) => (X3 @ (sK17 @ X3) @ (sK16 @ X3))) = $false)) ) | ~spl12_14),
% 36.40/6.57    inference(beta_eta_normalization,[status(thm)],[f1230])).
% 36.40/6.57  thf(f1230,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((X3 @ X1 @ X2) = $true) | ((!! @ a @ (^[Y0 : a]: ((sK4 @ sK6 @ sK11 @ Y0 @ (sK15 @ X3)) => (X3 @ Y0 @ (sK15 @ X3))))) = $false) | (((^[Y0 : a]: (((X3 @ Y0 @ (sK16 @ X3)) & (X3 @ (sK17 @ X3) @ Y0)) => (X3 @ (sK17 @ X3) @ (sK16 @ X3)))) @ (sK18 @ X3)) = $false)) ) | ~spl12_14),
% 36.40/6.57    inference(sigma_clausification,[status(thm)],[f1229])).
% 36.40/6.57  thf(f1229,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((X3 @ X1 @ X2) = $true) | ($false = (!! @ a @ (^[Y0 : a]: (((X3 @ Y0 @ (sK16 @ X3)) & (X3 @ (sK17 @ X3) @ Y0)) => (X3 @ (sK17 @ X3) @ (sK16 @ X3)))))) | ((!! @ a @ (^[Y0 : a]: ((sK4 @ sK6 @ sK11 @ Y0 @ (sK15 @ X3)) => (X3 @ Y0 @ (sK15 @ X3))))) = $false)) ) | ~spl12_14),
% 36.40/6.57    inference(beta_eta_normalization,[status(thm)],[f1228])).
% 36.40/6.57  thf(f1228,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (((X3 @ X1 @ X2) = $true) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((X3 @ Y1 @ (sK16 @ X3)) & (X3 @ Y0 @ Y1)) => (X3 @ Y0 @ (sK16 @ X3)))))) @ (sK17 @ X3)) = $false) | ((!! @ a @ (^[Y0 : a]: ((sK4 @ sK6 @ sK11 @ Y0 @ (sK15 @ X3)) => (X3 @ Y0 @ (sK15 @ X3))))) = $false)) ) | ~spl12_14),
% 36.40/6.57    inference(sigma_clausification,[status(thm)],[f1227])).
% 36.40/6.57  thf(f1227,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (((X3 @ Y1 @ (sK16 @ X3)) & (X3 @ Y0 @ Y1)) => (X3 @ Y0 @ (sK16 @ X3))))))) = $false) | ((X3 @ X1 @ X2) = $true) | ((!! @ a @ (^[Y0 : a]: ((sK4 @ sK6 @ sK11 @ Y0 @ (sK15 @ X3)) => (X3 @ Y0 @ (sK15 @ X3))))) = $false) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2))) ) | ~spl12_14),
% 36.40/6.57    inference(beta_eta_normalization,[status(thm)],[f1226])).
% 36.40/6.57  thf(f1226,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (((X3 @ X1 @ X2) = $true) | (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((X3 @ Y2 @ Y0) & (X3 @ Y1 @ Y2)) => (X3 @ Y1 @ Y0))))))) @ (sK16 @ X3)) = $false) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((!! @ a @ (^[Y0 : a]: ((sK4 @ sK6 @ sK11 @ Y0 @ (sK15 @ X3)) => (X3 @ Y0 @ (sK15 @ X3))))) = $false)) ) | ~spl12_14),
% 36.40/6.57    inference(sigma_clausification,[status(thm)],[f1225])).
% 36.40/6.57  thf(f1225,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (((X3 @ X1 @ X2) = $true) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((X3 @ Y2 @ Y0) & (X3 @ Y1 @ Y2)) => (X3 @ Y1 @ Y0)))))))) = $false) | ((!! @ a @ (^[Y0 : a]: ((sK4 @ sK6 @ sK11 @ Y0 @ (sK15 @ X3)) => (X3 @ Y0 @ (sK15 @ X3))))) = $false)) ) | ~spl12_14),
% 36.40/6.57    inference(beta_eta_normalization,[status(thm)],[f1224])).
% 36.40/6.57  thf(f1224,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (((X3 @ X1 @ X2) = $true) | (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK4 @ sK6 @ sK11 @ Y1 @ Y0) => (X3 @ Y1 @ Y0))))) @ (sK15 @ X3)) = $false) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((X3 @ Y2 @ Y0) & (X3 @ Y1 @ Y2)) => (X3 @ Y1 @ Y0)))))))) = $false) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2))) ) | ~spl12_14),
% 36.40/6.57    inference(sigma_clausification,[status(thm)],[f1223])).
% 36.40/6.57  thf(f1223,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK4 @ sK6 @ sK11 @ Y1 @ Y0) => (X3 @ Y1 @ Y0)))))) = $false) | ((X3 @ X1 @ X2) = $true) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((X3 @ Y2 @ Y0) & (X3 @ Y1 @ Y2)) => (X3 @ Y1 @ Y0)))))))) = $false) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2))) ) | ~spl12_14),
% 36.40/6.57    inference(binary_proxy_clausification,[status(thm)],[f1222])).
% 36.40/6.57  thf(f1222,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((X3 @ Y2 @ Y0) & (X3 @ Y1 @ Y2)) => (X3 @ Y1 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK4 @ sK6 @ sK11 @ Y1 @ Y0) => (X3 @ Y1 @ Y0))))))) = $false) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((X3 @ X1 @ X2) = $true)) ) | ~spl12_14),
% 36.40/6.57    inference(binary_proxy_clausification,[status(thm)],[f1221])).
% 36.40/6.57  thf(f1221,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ($true = (((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((X3 @ Y2 @ Y0) & (X3 @ Y1 @ Y2)) => (X3 @ Y1 @ Y0)))))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK4 @ sK6 @ sK11 @ Y1 @ Y0) => (X3 @ Y1 @ Y0))))))) => (X3 @ X1 @ X2)))) ) | ~spl12_14),
% 36.40/6.57    inference(beta_eta_normalization,[status(thm)],[f1220])).
% 36.40/6.57  thf(f1220,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : ((((^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK4 @ sK6 @ sK11 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ X1 @ X2))) @ X3) = $true) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2))) ) | ~spl12_14),
% 36.40/6.57    inference(pi_clausification,[status(thm)],[f1199])).
% 36.40/6.57  thf(f1199,plain,(
% 36.40/6.57    ( ! [X2 : a,X1 : a] : (((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK4 @ sK6 @ sK11 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ X1 @ X2)))) = $true) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2))) ) | ~spl12_14),
% 36.40/6.57    inference(binary_proxy_clausification,[status(thm)],[f1198])).
% 36.40/6.57  thf(f1198,plain,(
% 36.40/6.57    ( ! [X2 : a,X1 : a] : (((!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y2 @ Y1)))))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK4 @ sK6 @ sK11 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) => (Y0 @ X1 @ X2)))) = (sK3 @ sK6 @ sK11 @ X1 @ X2))) ) | ~spl12_14),
% 36.40/6.57    inference(beta_eta_normalization,[status(thm)],[f1197])).
% 36.40/6.57  thf(f1197,plain,(
% 36.40/6.57    ( ! [X2 : a,X1 : a] : ((((^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y4 @ Y2) & (Y1 @ Y3 @ Y4)) => (Y1 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK4 @ sK6 @ sK11 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) => (Y1 @ X1 @ Y0))))) @ X2) = (sK3 @ sK6 @ sK11 @ X1 @ X2))) ) | ~spl12_14),
% 36.40/6.57    inference(argument_congruence,[status(thm)],[f1071])).
% 36.40/6.57  thf(f1071,plain,(
% 36.40/6.57    ( ! [X1 : a] : (((^[Y0 : a]: (!! @ (a > a > $o) @ (^[Y1 : a > a > $o]: (((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (((Y1 @ Y4 @ Y2) & (Y1 @ Y3 @ Y4)) => (Y1 @ Y3 @ Y2)))))))) & (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK4 @ sK6 @ sK11 @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) => (Y1 @ X1 @ Y0))))) = (sK3 @ sK6 @ sK11 @ X1))) ) | ~spl12_14),
% 36.40/6.57    inference(beta_eta_normalization,[status(thm)],[f1070])).
% 36.40/6.57  thf(f1070,plain,(
% 36.40/6.57    ( ! [X1 : a] : (((sK3 @ sK6 @ sK11 @ X1) = ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK4 @ sK6 @ sK11 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1))))))) @ X1))) ) | ~spl12_14),
% 36.40/6.57    inference(argument_congruence,[status(thm)],[f438])).
% 36.40/6.57  thf(f438,plain,(
% 36.40/6.57    ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK4 @ sK6 @ sK11 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1))))))) = (sK3 @ sK6 @ sK11)) | ~spl12_14),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f433])).
% 36.40/6.57  thf(f433,plain,(
% 36.40/6.57    ($true != $true) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK4 @ sK6 @ sK11 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1))))))) = (sK3 @ sK6 @ sK11)) | ~spl12_14),
% 36.40/6.57    inference(superposition,[status(thm)],[f23,f149])).
% 36.40/6.57  thf(f23,plain,(
% 36.40/6.57    ( ! [X0 : a > a > $o,X1 : (a > a > $o) > $o] : (((sP0 @ X1 @ X0) != $true) | ((sK3 @ X1 @ X0) = (^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((sK4 @ X1 @ X0 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1))))))))) )),
% 36.40/6.57    inference(cnf_transformation,[status(thm)],[f16])).
% 36.40/6.57  thf(f27,plain,(
% 36.40/6.57    ( ! [X11 : a,X12 : a,X13 : a > a > $o] : (((X13 @ X12 @ X11) != $true) | ((sK11 @ X12 @ X11) = $true) | ((sK6 @ X13) != $true)) )),
% 36.40/6.57    inference(cnf_transformation,[status(thm)],[f21])).
% 36.40/6.57  thf(f21,plain,(
% 36.40/6.57    ! [X3 : a > a > $o] : (($true = (X3 @ sK7 @ sK5)) | ((sP0 @ sK6 @ X3) = $true) | (((X3 @ (sK10 @ X3) @ (sK9 @ X3)) = $true) & ((X3 @ (sK8 @ X3) @ (sK10 @ X3)) = $true) & ((X3 @ (sK8 @ X3) @ (sK9 @ X3)) != $true))) & (! [X8 : a,X9 : a,X10 : a] : (((sK11 @ X10 @ X9) != $true) | ($true != (sK11 @ X9 @ X8)) | ((sK11 @ X10 @ X8) = $true)) & ! [X11 : a,X12 : a] : (((sK11 @ X12 @ X11) = $true) | ! [X13 : a > a > $o] : (((X13 @ X12 @ X11) != $true) | ((sK6 @ X13) != $true))) & ($true != (sK11 @ sK7 @ sK5)))),
% 36.40/6.57    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f17,f20,f19,f18])).
% 36.40/6.57  thf(f18,plain,(
% 36.40/6.57    ? [X0 : a,X1 : (a > a > $o) > $o,X2 : a] : (! [X3 : a > a > $o] : (((X3 @ X2 @ X0) = $true) | ((sP0 @ X1 @ X3) = $true) | ? [X4 : a,X5 : a,X6 : a] : (($true = (X3 @ X6 @ X5)) & ((X3 @ X4 @ X6) = $true) & ((X3 @ X4 @ X5) != $true))) & ? [X7 : a > a > $o] : (! [X8 : a,X9 : a,X10 : a] : (($true != (X7 @ X10 @ X9)) | ((X7 @ X9 @ X8) != $true) | ((X7 @ X10 @ X8) = $true)) & ! [X11 : a,X12 : a] : (($true = (X7 @ X12 @ X11)) | ! [X13 : a > a > $o] : (((X13 @ X12 @ X11) != $true) | ((X1 @ X13) != $true))) & ((X7 @ X2 @ X0) != $true))) => (! [X3 : a > a > $o] : (($true = (X3 @ sK7 @ sK5)) | ((sP0 @ sK6 @ X3) = $true) | ? [X4 : a,X5 : a,X6 : a] : (($true = (X3 @ X6 @ X5)) & ((X3 @ X4 @ X6) = $true) & ((X3 @ X4 @ X5) != $true))) & ? [X7 : a > a > $o] : (! [X8 : a,X9 : a,X10 : a] : (($true != (X7 @ X10 @ X9)) | ((X7 @ X9 @ X8) != $true) | ((X7 @ X10 @ X8) = $true)) & ! [X12 : a,X11 : a] : (($true = (X7 @ X12 @ X11)) | ! [X13 : a > a > $o] : (((X13 @ X12 @ X11) != $true) | ((sK6 @ X13) != $true))) & ((X7 @ sK7 @ sK5) != $true)))),
% 36.40/6.57    introduced(definition,[],[choice_axiom])).
% 36.40/6.57  thf(f19,plain,(
% 36.40/6.57    ! [X3 : a > a > $o] : (? [X4 : a,X5 : a,X6 : a] : (($true = (X3 @ X6 @ X5)) & ((X3 @ X4 @ X6) = $true) & ((X3 @ X4 @ X5) != $true)) => (((X3 @ (sK10 @ X3) @ (sK9 @ X3)) = $true) & ((X3 @ (sK8 @ X3) @ (sK10 @ X3)) = $true) & ((X3 @ (sK8 @ X3) @ (sK9 @ X3)) != $true)))),
% 36.40/6.57    introduced(definition,[],[choice_axiom])).
% 36.40/6.57  thf(f20,plain,(
% 36.40/6.57    ? [X7 : a > a > $o] : (! [X8 : a,X9 : a,X10 : a] : (($true != (X7 @ X10 @ X9)) | ((X7 @ X9 @ X8) != $true) | ((X7 @ X10 @ X8) = $true)) & ! [X12 : a,X11 : a] : (($true = (X7 @ X12 @ X11)) | ! [X13 : a > a > $o] : (((X13 @ X12 @ X11) != $true) | ((sK6 @ X13) != $true))) & ((X7 @ sK7 @ sK5) != $true)) => (! [X10 : a,X9 : a,X8 : a] : (((sK11 @ X10 @ X9) != $true) | ($true != (sK11 @ X9 @ X8)) | ((sK11 @ X10 @ X8) = $true)) & ! [X12 : a,X11 : a] : (((sK11 @ X12 @ X11) = $true) | ! [X13 : a > a > $o] : (((X13 @ X12 @ X11) != $true) | ((sK6 @ X13) != $true))) & ($true != (sK11 @ sK7 @ sK5)))),
% 36.40/6.57    introduced(definition,[],[choice_axiom])).
% 36.40/6.57  thf(f17,plain,(
% 36.40/6.57    ? [X0 : a,X1 : (a > a > $o) > $o,X2 : a] : (! [X3 : a > a > $o] : (((X3 @ X2 @ X0) = $true) | ((sP0 @ X1 @ X3) = $true) | ? [X4 : a,X5 : a,X6 : a] : (($true = (X3 @ X6 @ X5)) & ((X3 @ X4 @ X6) = $true) & ((X3 @ X4 @ X5) != $true))) & ? [X7 : a > a > $o] : (! [X8 : a,X9 : a,X10 : a] : (($true != (X7 @ X10 @ X9)) | ((X7 @ X9 @ X8) != $true) | ((X7 @ X10 @ X8) = $true)) & ! [X11 : a,X12 : a] : (($true = (X7 @ X12 @ X11)) | ! [X13 : a > a > $o] : (((X13 @ X12 @ X11) != $true) | ((X1 @ X13) != $true))) & ((X7 @ X2 @ X0) != $true)))),
% 36.40/6.57    inference(rectify,[status(thm)],[f10])).
% 36.40/6.57  thf(f10,plain,(
% 36.40/6.57    ? [X0 : a,X1 : (a > a > $o) > $o,X2 : a] : (! [X3 : a > a > $o] : (((X3 @ X2 @ X0) = $true) | ((sP0 @ X1 @ X3) = $true) | ? [X4 : a,X5 : a,X6 : a] : (($true = (X3 @ X6 @ X5)) & ((X3 @ X4 @ X6) = $true) & ((X3 @ X4 @ X5) != $true))) & ? [X11 : a > a > $o] : (! [X15 : a,X16 : a,X17 : a] : (((X11 @ X17 @ X16) != $true) | ((X11 @ X16 @ X15) != $true) | ((X11 @ X17 @ X15) = $true)) & ! [X12 : a,X13 : a] : (((X11 @ X13 @ X12) = $true) | ! [X14 : a > a > $o] : (($true != (X14 @ X13 @ X12)) | ((X1 @ X14) != $true))) & ((X11 @ X2 @ X0) != $true)))),
% 36.40/6.57    inference(definition_folding,[status(thm)],[f8,f9])).
% 36.40/6.57  thf(f8,plain,(
% 36.40/6.57    ? [X0 : a,X1 : (a > a > $o) > $o,X2 : a] : (! [X3 : a > a > $o] : (((X3 @ X2 @ X0) = $true) | ? [X7 : a,X8 : a] : (((X3 @ X7 @ X8) != $true) & ? [X9 : a > a > $o] : (? [X10 : a > a > $o] : (((X1 @ X10) = $true) & ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1))))))) = X9)) & ((X9 @ X7 @ X8) = $true))) | ? [X4 : a,X5 : a,X6 : a] : (($true = (X3 @ X6 @ X5)) & ((X3 @ X4 @ X6) = $true) & ((X3 @ X4 @ X5) != $true))) & ? [X11 : a > a > $o] : (! [X15 : a,X16 : a,X17 : a] : (((X11 @ X17 @ X16) != $true) | ((X11 @ X16 @ X15) != $true) | ((X11 @ X17 @ X15) = $true)) & ! [X12 : a,X13 : a] : (((X11 @ X13 @ X12) = $true) | ! [X14 : a > a > $o] : (($true != (X14 @ X13 @ X12)) | ((X1 @ X14) != $true))) & ((X11 @ X2 @ X0) != $true)))),
% 36.40/6.57    inference(flattening,[status(thm)],[f7])).
% 36.40/6.57  thf(f7,plain,(
% 36.40/6.57    ? [X0 : a,X1 : (a > a > $o) > $o,X2 : a] : (? [X11 : a > a > $o] : (((X11 @ X2 @ X0) != $true) & (! [X12 : a,X13 : a] : (((X11 @ X13 @ X12) = $true) | ! [X14 : a > a > $o] : (($true != (X14 @ X13 @ X12)) | ((X1 @ X14) != $true))) & ! [X15 : a,X16 : a,X17 : a] : (((X11 @ X17 @ X15) = $true) | (((X11 @ X17 @ X16) != $true) | ((X11 @ X16 @ X15) != $true))))) & ! [X3 : a > a > $o] : (((X3 @ X2 @ X0) = $true) | (? [X4 : a,X5 : a,X6 : a] : (((X3 @ X4 @ X5) != $true) & (($true = (X3 @ X6 @ X5)) & ((X3 @ X4 @ X6) = $true))) | ? [X7 : a,X8 : a] : (((X3 @ X7 @ X8) != $true) & ? [X9 : a > a > $o] : (? [X10 : a > a > $o] : (((X1 @ X10) = $true) & ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1))))))) = X9)) & ((X9 @ X7 @ X8) = $true))))))),
% 36.40/6.57    inference(ennf_transformation,[status(thm)],[f6])).
% 36.40/6.57  thf(f6,plain,(
% 36.40/6.57    ~! [X0 : a,X1 : (a > a > $o) > $o,X2 : a] : (! [X3 : a > a > $o] : ((! [X4 : a,X5 : a,X6 : a] : ((($true = (X3 @ X6 @ X5)) & ((X3 @ X4 @ X6) = $true)) => ((X3 @ X4 @ X5) = $true)) & ! [X7 : a,X8 : a] : (? [X9 : a > a > $o] : (? [X10 : a > a > $o] : (((X1 @ X10) = $true) & ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1))))))) = X9)) & ((X9 @ X7 @ X8) = $true)) => ((X3 @ X7 @ X8) = $true))) => ((X3 @ X2 @ X0) = $true)) => ! [X11 : a > a > $o] : ((! [X12 : a,X13 : a] : (? [X14 : a > a > $o] : (($true = (X14 @ X13 @ X12)) & ((X1 @ X14) = $true)) => ((X11 @ X13 @ X12) = $true)) & ! [X15 : a,X16 : a,X17 : a] : ((((X11 @ X17 @ X16) = $true) & ((X11 @ X16 @ X15) = $true)) => ((X11 @ X17 @ X15) = $true))) => ((X11 @ X2 @ X0) = $true)))),
% 36.40/6.57    inference(rectify,[status(thm)],[f5])).
% 36.40/6.57  thf(f5,plain,(
% 36.40/6.57    ~! [X0 : a,X1 : (a > a > $o) > $o,X2 : a] : (! [X3 : a > a > $o] : ((! [X4 : a,X5 : a,X6 : a] : ((($true = (X3 @ X6 @ X5)) & ((X3 @ X4 @ X6) = $true)) => ((X3 @ X4 @ X5) = $true)) & ! [X7 : a,X8 : a] : (? [X9 : a > a > $o] : (? [X10 : a > a > $o] : (((X1 @ X10) = $true) & ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y5 @ Y3) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y4 @ Y3)))))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) => (Y2 @ Y0 @ Y1))))))) = X9)) & ((X9 @ X7 @ X8) = $true)) => ((X3 @ X7 @ X8) = $true))) => ((X3 @ X2 @ X0) = $true)) => ! [X19 : a > a > $o] : ((! [X20 : a,X21 : a] : (? [X22 : a > a > $o] : (((X1 @ X22) = $true) & ((X22 @ X21 @ X20) = $true)) => ((X19 @ X21 @ X20) = $true)) & ! [X23 : a,X24 : a,X25 : a] : ((((X19 @ X24 @ X23) = $true) & ((X19 @ X25 @ X24) = $true)) => ((X19 @ X25 @ X23) = $true))) => ((X19 @ X2 @ X0) = $true)))),
% 36.40/6.57    inference(fool_elimination,[status(thm)],[f4])).
% 36.40/6.57  thf(f4,plain,(
% 36.40/6.57    ~! [X0 : a,X1 : (a > a > $o) > $o,X2 : a] : (! [X3 : a > a > $o] : ((! [X4 : a,X5 : a,X6 : a] : (((X3 @ X4 @ X6) & (X3 @ X6 @ X5)) => (X3 @ X4 @ X5)) & ! [X7 : a,X8 : a] : (? [X9 : a > a > $o] : ((X9 @ X7 @ X8) & ? [X10 : a > a > $o] : (((^[X11 : a, X12 : a] : (! [X13 : a > a > $o] : ((! [X14 : a,X15 : a] : ((X10 @ X14 @ X15) => (X13 @ X14 @ X15)) & ! [X16 : a,X17 : a,X18 : a] : (((X13 @ X17 @ X16) & (X13 @ X16 @ X18)) => (X13 @ X17 @ X18))) => (X13 @ X11 @ X12)))) = X9) & (X1 @ X10))) => (X3 @ X7 @ X8))) => (X3 @ X2 @ X0)) => ! [X19 : a > a > $o] : ((! [X20 : a,X21 : a] : (? [X22 : a > a > $o] : ((X1 @ X22) & (X22 @ X21 @ X20)) => (X19 @ X21 @ X20)) & ! [X23 : a,X24 : a,X25 : a] : (((X19 @ X24 @ X23) & (X19 @ X25 @ X24)) => (X19 @ X25 @ X23))) => (X19 @ X2 @ X0)))),
% 36.40/6.57    inference(rectify,[status(thm)],[f2])).
% 36.40/6.57  thf(f2,negated_conjecture,(
% 36.40/6.57    ~! [X2 : a,X0 : (a > a > $o) > $o,X1 : a] : (! [X3 : a > a > $o] : ((! [X4 : a,X13 : a,X5 : a] : (((X3 @ X4 @ X5) & (X3 @ X5 @ X13)) => (X3 @ X4 @ X13)) & ! [X4 : a,X5 : a] : (? [X6 : a > a > $o] : ((X6 @ X4 @ X5) & ? [X7 : a > a > $o] : (((^[X8 : a, X9 : a] : (! [X10 : a > a > $o] : ((! [X11 : a,X12 : a] : ((X7 @ X11 @ X12) => (X10 @ X11 @ X12)) & ! [X12 : a,X11 : a,X13 : a] : (((X10 @ X11 @ X12) & (X10 @ X12 @ X13)) => (X10 @ X11 @ X13))) => (X10 @ X8 @ X9)))) = X6) & (X0 @ X7))) => (X3 @ X4 @ X5))) => (X3 @ X1 @ X2)) => ! [X3 : a > a > $o] : ((! [X5 : a,X4 : a] : (? [X6 : a > a > $o] : ((X0 @ X6) & (X6 @ X4 @ X5)) => (X3 @ X4 @ X5)) & ! [X13 : a,X5 : a,X4 : a] : (((X3 @ X5 @ X13) & (X3 @ X4 @ X5)) => (X3 @ X4 @ X13))) => (X3 @ X1 @ X2)))),
% 36.40/6.57    inference(negated_conjecture,[status(cth)],[f1])).
% 36.40/6.57  thf(f1,conjecture,(
% 36.40/6.57    ! [X2 : a,X0 : (a > a > $o) > $o,X1 : a] : (! [X3 : a > a > $o] : ((! [X4 : a,X13 : a,X5 : a] : (((X3 @ X4 @ X5) & (X3 @ X5 @ X13)) => (X3 @ X4 @ X13)) & ! [X4 : a,X5 : a] : (? [X6 : a > a > $o] : ((X6 @ X4 @ X5) & ? [X7 : a > a > $o] : (((^[X8 : a, X9 : a] : (! [X10 : a > a > $o] : ((! [X11 : a,X12 : a] : ((X7 @ X11 @ X12) => (X10 @ X11 @ X12)) & ! [X12 : a,X11 : a,X13 : a] : (((X10 @ X11 @ X12) & (X10 @ X12 @ X13)) => (X10 @ X11 @ X13))) => (X10 @ X8 @ X9)))) = X6) & (X0 @ X7))) => (X3 @ X4 @ X5))) => (X3 @ X1 @ X2)) => ! [X3 : a > a > $o] : ((! [X5 : a,X4 : a] : (? [X6 : a > a > $o] : ((X0 @ X6) & (X6 @ X4 @ X5)) => (X3 @ X4 @ X5)) & ! [X13 : a,X5 : a,X4 : a] : (((X3 @ X5 @ X13) & (X3 @ X4 @ X5)) => (X3 @ X4 @ X13))) => (X3 @ X1 @ X2)))),
% 36.40/6.57    file('/export/starexec/sandbox2/tmp/tmp.2dK0iQh3GD/DTF2THF_25817.p',cTHM253_B_pme)).
% 36.40/6.57  thf(f25,plain,(
% 36.40/6.57    ( ! [X0 : a > a > $o,X1 : (a > a > $o) > $o] : (((X0 @ (sK1 @ X1 @ X0) @ (sK2 @ X1 @ X0)) != $true) | ((sP0 @ X1 @ X0) != $true)) )),
% 36.40/6.57    inference(cnf_transformation,[status(thm)],[f16])).
% 36.40/6.57  thf(f10492,plain,(
% 36.40/6.57    spl12_523 | ~spl12_14 | ~spl12_162),
% 36.40/6.57    inference(avatar_split_clause,[status(thm)],[f10491,f1965,f147,f8099])).
% 36.40/6.57  thf(f8099,definition,(
% 36.40/6.57    spl12_523 <=> ((sK11 @ (sK18 @ sK11) @ (sK16 @ sK11)) = $true)),
% 36.40/6.57    introduced(definition,[new_symbols(naming,[spl12_523])],[avatar_definition])).
% 36.40/6.57  thf(f10491,plain,(
% 36.40/6.57    ((sK11 @ (sK18 @ sK11) @ (sK16 @ sK11)) = $true) | (~spl12_14 | ~spl12_162)),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f10490])).
% 36.40/6.57  thf(f10490,plain,(
% 36.40/6.57    ((sK11 @ (sK18 @ sK11) @ (sK16 @ sK11)) = $true) | ($false = $true) | (~spl12_14 | ~spl12_162)),
% 36.40/6.57    inference(forward_demodulation,[status(thm)],[f10464,f1967])).
% 36.40/6.57  thf(f10464,plain,(
% 36.40/6.57    ((sK11 @ (sK18 @ sK11) @ (sK16 @ sK11)) = $true) | ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $true) | ~spl12_14),
% 36.40/6.57    inference(subsumption_resolution,[status(thm)],[f10411,f149])).
% 36.40/6.57  thf(f10411,plain,(
% 36.40/6.57    ((sP0 @ sK6 @ sK11) != $true) | ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $true) | ((sK11 @ (sK18 @ sK11) @ (sK16 @ sK11)) = $true) | ~spl12_14),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f10336])).
% 36.40/6.57  thf(f10336,plain,(
% 36.40/6.57    ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $true) | ((sK11 @ (sK18 @ sK11) @ (sK16 @ sK11)) = $true) | ((sP0 @ sK6 @ sK11) != $true) | ($true != $true) | ~spl12_14),
% 36.40/6.57    inference(superposition,[status(thm)],[f25,f7342])).
% 36.40/6.57  thf(f7342,plain,(
% 36.40/6.57    ( ! [X0 : a > a > $o] : (($true = (X0 @ (sK1 @ sK6 @ sK11) @ (sK2 @ sK6 @ sK11))) | ((X0 @ (sK18 @ X0) @ (sK16 @ X0)) = $true) | ((sK11 @ (sK19 @ X0) @ (sK15 @ X0)) = $true)) ) | ~spl12_14),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f7309])).
% 36.40/6.57  thf(f7309,plain,(
% 36.40/6.57    ( ! [X0 : a > a > $o] : (((X0 @ (sK18 @ X0) @ (sK16 @ X0)) = $true) | ((sK11 @ (sK19 @ X0) @ (sK15 @ X0)) = $true) | ($true = (X0 @ (sK1 @ sK6 @ sK11) @ (sK2 @ sK6 @ sK11))) | ($false = $true)) ) | ~spl12_14),
% 36.40/6.57    inference(superposition,[status(thm)],[f430,f3666])).
% 36.40/6.57  thf(f3666,plain,(
% 36.40/6.57    ( ! [X2 : a,X0 : a > a > $o,X1 : a] : (($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((X0 @ (sK18 @ X0) @ (sK16 @ X0)) = $true) | ((sK11 @ (sK19 @ X0) @ (sK15 @ X0)) = $true) | ((X0 @ X1 @ X2) = $true)) ) | ~spl12_14),
% 36.40/6.57    inference(subsumption_resolution,[status(thm)],[f3663,f262])).
% 36.40/6.57  thf(f3663,plain,(
% 36.40/6.57    ( ! [X2 : a,X0 : a > a > $o,X1 : a] : (((sK6 @ (sK4 @ sK6 @ sK11)) != $true) | ((X0 @ X1 @ X2) = $true) | ((sK11 @ (sK19 @ X0) @ (sK15 @ X0)) = $true) | ((X0 @ (sK18 @ X0) @ (sK16 @ X0)) = $true) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2))) ) | ~spl12_14),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f3660])).
% 36.40/6.57  thf(f3660,plain,(
% 36.40/6.57    ( ! [X2 : a,X0 : a > a > $o,X1 : a] : (($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((X0 @ (sK18 @ X0) @ (sK16 @ X0)) = $true) | ((sK6 @ (sK4 @ sK6 @ sK11)) != $true) | ((X0 @ X1 @ X2) = $true) | ($true != $true) | ((sK11 @ (sK19 @ X0) @ (sK15 @ X0)) = $true)) ) | ~spl12_14),
% 36.40/6.57    inference(superposition,[status(thm)],[f27,f1239])).
% 36.40/6.57  thf(f1239,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (((sK4 @ sK6 @ sK11 @ (sK19 @ X3) @ (sK15 @ X3)) = $true) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((X3 @ X1 @ X2) = $true) | ((X3 @ (sK18 @ X3) @ (sK16 @ X3)) = $true)) ) | ~spl12_14),
% 36.40/6.57    inference(binary_proxy_clausification,[status(thm)],[f1237])).
% 36.40/6.57  thf(f10479,plain,(
% 36.40/6.57    spl12_161 | ~spl12_14 | ~spl12_162),
% 36.40/6.57    inference(avatar_split_clause,[status(thm)],[f10478,f1965,f147,f1961])).
% 36.40/6.57  thf(f1961,definition,(
% 36.40/6.57    spl12_161 <=> ((sK11 @ (sK17 @ sK11) @ (sK16 @ sK11)) = $false)),
% 36.40/6.57    introduced(definition,[new_symbols(naming,[spl12_161])],[avatar_definition])).
% 36.40/6.57  thf(f10478,plain,(
% 36.40/6.57    ((sK11 @ (sK17 @ sK11) @ (sK16 @ sK11)) = $false) | (~spl12_14 | ~spl12_162)),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f10477])).
% 36.40/6.57  thf(f10477,plain,(
% 36.40/6.57    ($false = $true) | ((sK11 @ (sK17 @ sK11) @ (sK16 @ sK11)) = $false) | (~spl12_14 | ~spl12_162)),
% 36.40/6.57    inference(forward_demodulation,[status(thm)],[f10476,f1967])).
% 36.40/6.57  thf(f10476,plain,(
% 36.40/6.57    ((sK11 @ (sK17 @ sK11) @ (sK16 @ sK11)) = $false) | ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $true) | ~spl12_14),
% 36.40/6.57    inference(subsumption_resolution,[status(thm)],[f8246,f149])).
% 36.40/6.57  thf(f8246,plain,(
% 36.40/6.57    ((sK11 @ (sK17 @ sK11) @ (sK16 @ sK11)) = $false) | ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $true) | ((sP0 @ sK6 @ sK11) != $true) | ~spl12_14),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f8161])).
% 36.40/6.57  thf(f8161,plain,(
% 36.40/6.57    ((sP0 @ sK6 @ sK11) != $true) | ((sK11 @ (sK17 @ sK11) @ (sK16 @ sK11)) = $false) | ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $true) | ($true != $true) | ~spl12_14),
% 36.40/6.57    inference(superposition,[status(thm)],[f25,f2727])).
% 36.40/6.57  thf(f2727,plain,(
% 36.40/6.57    ( ! [X0 : a > a > $o] : (($true = (X0 @ (sK1 @ sK6 @ sK11) @ (sK2 @ sK6 @ sK11))) | ((sK11 @ (sK19 @ X0) @ (sK15 @ X0)) = $true) | ((X0 @ (sK17 @ X0) @ (sK16 @ X0)) = $false)) ) | ~spl12_14),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f2709])).
% 36.40/6.57  thf(f2709,plain,(
% 36.40/6.57    ( ! [X0 : a > a > $o] : (($false = $true) | ((X0 @ (sK17 @ X0) @ (sK16 @ X0)) = $false) | ((sK11 @ (sK19 @ X0) @ (sK15 @ X0)) = $true) | ($true = (X0 @ (sK1 @ sK6 @ sK11) @ (sK2 @ sK6 @ sK11)))) ) | ~spl12_14),
% 36.40/6.57    inference(superposition,[status(thm)],[f430,f2342])).
% 36.40/6.57  thf(f2342,plain,(
% 36.40/6.57    ( ! [X2 : a,X0 : a > a > $o,X1 : a] : (($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((sK11 @ (sK19 @ X0) @ (sK15 @ X0)) = $true) | ((X0 @ (sK17 @ X0) @ (sK16 @ X0)) = $false) | ((X0 @ X1 @ X2) = $true)) ) | ~spl12_14),
% 36.40/6.57    inference(subsumption_resolution,[status(thm)],[f2331,f262])).
% 36.40/6.57  thf(f2331,plain,(
% 36.40/6.57    ( ! [X2 : a,X0 : a > a > $o,X1 : a] : (((X0 @ X1 @ X2) = $true) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((sK6 @ (sK4 @ sK6 @ sK11)) != $true) | ((sK11 @ (sK19 @ X0) @ (sK15 @ X0)) = $true) | ((X0 @ (sK17 @ X0) @ (sK16 @ X0)) = $false)) ) | ~spl12_14),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f2329])).
% 36.40/6.57  thf(f2329,plain,(
% 36.40/6.57    ( ! [X2 : a,X0 : a > a > $o,X1 : a] : (($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ($true != $true) | ((X0 @ (sK17 @ X0) @ (sK16 @ X0)) = $false) | ((sK11 @ (sK19 @ X0) @ (sK15 @ X0)) = $true) | ((sK6 @ (sK4 @ sK6 @ sK11)) != $true) | ((X0 @ X1 @ X2) = $true)) ) | ~spl12_14),
% 36.40/6.57    inference(superposition,[status(thm)],[f27,f1236])).
% 36.40/6.57  thf(f1236,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (((sK4 @ sK6 @ sK11 @ (sK19 @ X3) @ (sK15 @ X3)) = $true) | ((X3 @ X1 @ X2) = $true) | ((X3 @ (sK17 @ X3) @ (sK16 @ X3)) = $false) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2))) ) | ~spl12_14),
% 36.40/6.57    inference(binary_proxy_clausification,[status(thm)],[f1235])).
% 36.40/6.57  thf(f8274,plain,(
% 36.40/6.57    ~spl12_161 | ~spl12_488 | ~spl12_523),
% 36.40/6.57    inference(avatar_contradiction_clause,[status(thm)],[f8273])).
% 36.40/6.57  thf(f8273,plain,(
% 36.40/6.57    $false | (~spl12_161 | ~spl12_488 | ~spl12_523)),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f8272])).
% 36.40/6.57  thf(f8272,plain,(
% 36.40/6.57    ($false = $true) | (~spl12_161 | ~spl12_488 | ~spl12_523)),
% 36.40/6.57    inference(forward_demodulation,[status(thm)],[f8271,f1963])).
% 36.40/6.57  thf(f1963,plain,(
% 36.40/6.57    ((sK11 @ (sK17 @ sK11) @ (sK16 @ sK11)) = $false) | ~spl12_161),
% 36.40/6.57    inference(avatar_component_clause,[status(thm)],[f1961])).
% 36.40/6.57  thf(f8271,plain,(
% 36.40/6.57    ((sK11 @ (sK17 @ sK11) @ (sK16 @ sK11)) = $true) | (~spl12_488 | ~spl12_523)),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f8270])).
% 36.40/6.57  thf(f8270,plain,(
% 36.40/6.57    ((sK11 @ (sK17 @ sK11) @ (sK16 @ sK11)) = $true) | ($true != $true) | (~spl12_488 | ~spl12_523)),
% 36.40/6.57    inference(superposition,[status(thm)],[f8126,f7698])).
% 36.40/6.57  thf(f7698,plain,(
% 36.40/6.57    ((sK11 @ (sK17 @ sK11) @ (sK18 @ sK11)) = $true) | ~spl12_488),
% 36.40/6.57    inference(avatar_component_clause,[status(thm)],[f7696])).
% 36.40/6.57  thf(f8126,plain,(
% 36.40/6.57    ( ! [X0 : a] : (((sK11 @ X0 @ (sK18 @ sK11)) != $true) | ((sK11 @ X0 @ (sK16 @ sK11)) = $true)) ) | ~spl12_523),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f8124])).
% 36.40/6.57  thf(f8124,plain,(
% 36.40/6.57    ( ! [X0 : a] : (((sK11 @ X0 @ (sK16 @ sK11)) = $true) | ($true != $true) | ((sK11 @ X0 @ (sK18 @ sK11)) != $true)) ) | ~spl12_523),
% 36.40/6.57    inference(superposition,[status(thm)],[f28,f8101])).
% 36.40/6.57  thf(f8101,plain,(
% 36.40/6.57    ((sK11 @ (sK18 @ sK11) @ (sK16 @ sK11)) = $true) | ~spl12_523),
% 36.40/6.57    inference(avatar_component_clause,[status(thm)],[f8099])).
% 36.40/6.57  thf(f28,plain,(
% 36.40/6.57    ( ! [X10 : a,X8 : a,X9 : a] : (($true != (sK11 @ X9 @ X8)) | ((sK11 @ X10 @ X9) != $true) | ((sK11 @ X10 @ X8) = $true)) )),
% 36.40/6.57    inference(cnf_transformation,[status(thm)],[f21])).
% 36.40/6.57  thf(f8120,plain,(
% 36.40/6.57    spl12_162 | spl12_523 | ~spl12_14),
% 36.40/6.57    inference(avatar_split_clause,[status(thm)],[f8119,f147,f8099,f1965])).
% 36.40/6.57  thf(f8119,plain,(
% 36.40/6.57    ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $false) | ((sK11 @ (sK18 @ sK11) @ (sK16 @ sK11)) = $true) | ~spl12_14),
% 36.40/6.57    inference(subsumption_resolution,[status(thm)],[f8024,f149])).
% 36.40/6.57  thf(f8024,plain,(
% 36.40/6.57    ((sP0 @ sK6 @ sK11) != $true) | ((sK11 @ (sK18 @ sK11) @ (sK16 @ sK11)) = $true) | ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $false) | ~spl12_14),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f7977])).
% 36.40/6.57  thf(f7977,plain,(
% 36.40/6.57    ((sP0 @ sK6 @ sK11) != $true) | ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $false) | ($true != $true) | ((sK11 @ (sK18 @ sK11) @ (sK16 @ sK11)) = $true) | ~spl12_14),
% 36.40/6.57    inference(superposition,[status(thm)],[f25,f1837])).
% 36.40/6.57  thf(f1837,plain,(
% 36.40/6.57    ( ! [X0 : a > a > $o] : (($true = (X0 @ (sK1 @ sK6 @ sK11) @ (sK2 @ sK6 @ sK11))) | ((X0 @ (sK18 @ X0) @ (sK16 @ X0)) = $true) | ((X0 @ (sK19 @ X0) @ (sK15 @ X0)) = $false)) ) | ~spl12_14),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f1817])).
% 36.40/6.57  thf(f1817,plain,(
% 36.40/6.57    ( ! [X0 : a > a > $o] : (($false = $true) | ($true = (X0 @ (sK1 @ sK6 @ sK11) @ (sK2 @ sK6 @ sK11))) | ((X0 @ (sK19 @ X0) @ (sK15 @ X0)) = $false) | ((X0 @ (sK18 @ X0) @ (sK16 @ X0)) = $true)) ) | ~spl12_14),
% 36.40/6.57    inference(superposition,[status(thm)],[f430,f1243])).
% 36.40/6.57  thf(f1243,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((X3 @ (sK19 @ X3) @ (sK15 @ X3)) = $false) | ((X3 @ (sK18 @ X3) @ (sK16 @ X3)) = $true) | ((X3 @ X1 @ X2) = $true)) ) | ~spl12_14),
% 36.40/6.57    inference(binary_proxy_clausification,[status(thm)],[f1241])).
% 36.40/6.57  thf(f1241,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((X3 @ (sK19 @ X3) @ (sK15 @ X3)) = $false) | ((X3 @ X1 @ X2) = $true) | (((X3 @ (sK18 @ X3) @ (sK16 @ X3)) & (X3 @ (sK17 @ X3) @ (sK18 @ X3))) = $true)) ) | ~spl12_14),
% 36.40/6.57    inference(binary_proxy_clausification,[status(thm)],[f1234])).
% 36.40/6.57  thf(f1234,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (((((X3 @ (sK18 @ X3) @ (sK16 @ X3)) & (X3 @ (sK17 @ X3) @ (sK18 @ X3))) => (X3 @ (sK17 @ X3) @ (sK16 @ X3))) = $false) | ((X3 @ X1 @ X2) = $true) | ((X3 @ (sK19 @ X3) @ (sK15 @ X3)) = $false) | ($false = (sK3 @ sK6 @ sK11 @ X1 @ X2))) ) | ~spl12_14),
% 36.40/6.57    inference(binary_proxy_clausification,[status(thm)],[f1233])).
% 36.40/6.57  thf(f7699,plain,(
% 36.40/6.57    spl12_488 | spl12_162 | ~spl12_14),
% 36.40/6.57    inference(avatar_split_clause,[status(thm)],[f7694,f147,f1965,f7696])).
% 36.40/6.57  thf(f7694,plain,(
% 36.40/6.57    ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $false) | ((sK11 @ (sK17 @ sK11) @ (sK18 @ sK11)) = $true) | ~spl12_14),
% 36.40/6.57    inference(subsumption_resolution,[status(thm)],[f7674,f149])).
% 36.40/6.57  thf(f7674,plain,(
% 36.40/6.57    ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $false) | ((sP0 @ sK6 @ sK11) != $true) | ((sK11 @ (sK17 @ sK11) @ (sK18 @ sK11)) = $true) | ~spl12_14),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f7575])).
% 36.40/6.57  thf(f7575,plain,(
% 36.40/6.57    ($true != $true) | ((sK11 @ (sK17 @ sK11) @ (sK18 @ sK11)) = $true) | ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $false) | ((sP0 @ sK6 @ sK11) != $true) | ~spl12_14),
% 36.40/6.57    inference(superposition,[status(thm)],[f25,f1804])).
% 36.40/6.57  thf(f1804,plain,(
% 36.40/6.57    ( ! [X0 : a > a > $o] : (($true = (X0 @ (sK1 @ sK6 @ sK11) @ (sK2 @ sK6 @ sK11))) | ((X0 @ (sK17 @ X0) @ (sK18 @ X0)) = $true) | ((X0 @ (sK19 @ X0) @ (sK15 @ X0)) = $false)) ) | ~spl12_14),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f1778])).
% 36.40/6.57  thf(f1778,plain,(
% 36.40/6.57    ( ! [X0 : a > a > $o] : (((X0 @ (sK17 @ X0) @ (sK18 @ X0)) = $true) | ((X0 @ (sK19 @ X0) @ (sK15 @ X0)) = $false) | ($true = (X0 @ (sK1 @ sK6 @ sK11) @ (sK2 @ sK6 @ sK11))) | ($false = $true)) ) | ~spl12_14),
% 36.40/6.57    inference(superposition,[status(thm)],[f1242,f430])).
% 36.40/6.57  thf(f1242,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((X3 @ X1 @ X2) = $true) | ((X3 @ (sK19 @ X3) @ (sK15 @ X3)) = $false) | ((X3 @ (sK17 @ X3) @ (sK18 @ X3)) = $true)) ) | ~spl12_14),
% 36.40/6.57    inference(binary_proxy_clausification,[status(thm)],[f1241])).
% 36.40/6.57  thf(f1973,plain,(
% 36.40/6.57    spl12_162 | spl12_161 | ~spl12_14),
% 36.40/6.57    inference(avatar_split_clause,[status(thm)],[f1972,f147,f1961,f1965])).
% 36.40/6.57  thf(f1972,plain,(
% 36.40/6.57    ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $false) | ((sK11 @ (sK17 @ sK11) @ (sK16 @ sK11)) = $false) | ~spl12_14),
% 36.40/6.57    inference(subsumption_resolution,[status(thm)],[f1887,f149])).
% 36.40/6.57  thf(f1887,plain,(
% 36.40/6.57    ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $false) | ((sP0 @ sK6 @ sK11) != $true) | ((sK11 @ (sK17 @ sK11) @ (sK16 @ sK11)) = $false) | ~spl12_14),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f1876])).
% 36.40/6.57  thf(f1876,plain,(
% 36.40/6.57    ((sK11 @ (sK19 @ sK11) @ (sK15 @ sK11)) = $false) | ((sK11 @ (sK17 @ sK11) @ (sK16 @ sK11)) = $false) | ((sP0 @ sK6 @ sK11) != $true) | ($true != $true) | ~spl12_14),
% 36.40/6.57    inference(superposition,[status(thm)],[f25,f1729])).
% 36.40/6.57  thf(f1729,plain,(
% 36.40/6.57    ( ! [X0 : a > a > $o] : (($true = (X0 @ (sK1 @ sK6 @ sK11) @ (sK2 @ sK6 @ sK11))) | ((X0 @ (sK17 @ X0) @ (sK16 @ X0)) = $false) | ((X0 @ (sK19 @ X0) @ (sK15 @ X0)) = $false)) ) | ~spl12_14),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f1713])).
% 36.40/6.57  thf(f1713,plain,(
% 36.40/6.57    ( ! [X0 : a > a > $o] : (((X0 @ (sK19 @ X0) @ (sK15 @ X0)) = $false) | ($false = $true) | ((X0 @ (sK17 @ X0) @ (sK16 @ X0)) = $false) | ($true = (X0 @ (sK1 @ sK6 @ sK11) @ (sK2 @ sK6 @ sK11)))) ) | ~spl12_14),
% 36.40/6.57    inference(superposition,[status(thm)],[f430,f1240])).
% 36.40/6.57  thf(f1240,plain,(
% 36.40/6.57    ( ! [X2 : a,X3 : a > a > $o,X1 : a] : (($false = (sK3 @ sK6 @ sK11 @ X1 @ X2)) | ((X3 @ X1 @ X2) = $true) | ((X3 @ (sK19 @ X3) @ (sK15 @ X3)) = $false) | ((X3 @ (sK17 @ X3) @ (sK16 @ X3)) = $false)) ) | ~spl12_14),
% 36.40/6.57    inference(binary_proxy_clausification,[status(thm)],[f1234])).
% 36.40/6.57  thf(f260,plain,(
% 36.40/6.57    spl12_14 | ~spl12_15),
% 36.40/6.57    inference(avatar_contradiction_clause,[status(thm)],[f259])).
% 36.40/6.57  thf(f259,plain,(
% 36.40/6.57    $false | (spl12_14 | ~spl12_15)),
% 36.40/6.57    inference(subsumption_resolution,[status(thm)],[f258,f148])).
% 36.40/6.57  thf(f148,plain,(
% 36.40/6.57    ((sP0 @ sK6 @ sK11) != $true) | spl12_14),
% 36.40/6.57    inference(avatar_component_clause,[status(thm)],[f147])).
% 36.40/6.57  thf(f258,plain,(
% 36.40/6.57    ((sP0 @ sK6 @ sK11) = $true) | (spl12_14 | ~spl12_15)),
% 36.40/6.57    inference(subsumption_resolution,[status(thm)],[f257,f26])).
% 36.40/6.57  thf(f26,plain,(
% 36.40/6.57    ($true != (sK11 @ sK7 @ sK5))),
% 36.40/6.57    inference(cnf_transformation,[status(thm)],[f21])).
% 36.40/6.57  thf(f257,plain,(
% 36.40/6.57    ($true = (sK11 @ sK7 @ sK5)) | ((sP0 @ sK6 @ sK11) = $true) | (spl12_14 | ~spl12_15)),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f254])).
% 36.40/6.57  thf(f254,plain,(
% 36.40/6.57    ($true = (sK11 @ sK7 @ sK5)) | ($true != $true) | ((sP0 @ sK6 @ sK11) = $true) | (spl12_14 | ~spl12_15)),
% 36.40/6.57    inference(superposition,[status(thm)],[f29,f212])).
% 36.40/6.57  thf(f212,plain,(
% 36.40/6.57    ((sK11 @ (sK8 @ sK11) @ (sK9 @ sK11)) = $true) | (spl12_14 | ~spl12_15)),
% 36.40/6.57    inference(subsumption_resolution,[status(thm)],[f211,f26])).
% 36.40/6.57  thf(f211,plain,(
% 36.40/6.57    ($true = (sK11 @ sK7 @ sK5)) | ((sK11 @ (sK8 @ sK11) @ (sK9 @ sK11)) = $true) | (spl12_14 | ~spl12_15)),
% 36.40/6.57    inference(subsumption_resolution,[status(thm)],[f210,f148])).
% 36.40/6.57  thf(f210,plain,(
% 36.40/6.57    ((sP0 @ sK6 @ sK11) = $true) | ($true = (sK11 @ sK7 @ sK5)) | ((sK11 @ (sK8 @ sK11) @ (sK9 @ sK11)) = $true) | ~spl12_15),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f209])).
% 36.40/6.57  thf(f209,plain,(
% 36.40/6.57    ($true != $true) | ((sK11 @ (sK8 @ sK11) @ (sK9 @ sK11)) = $true) | ((sP0 @ sK6 @ sK11) = $true) | ($true = (sK11 @ sK7 @ sK5)) | ~spl12_15),
% 36.40/6.57    inference(superposition,[status(thm)],[f179,f30])).
% 36.40/6.57  thf(f30,plain,(
% 36.40/6.57    ( ! [X3 : a > a > $o] : (((X3 @ (sK8 @ X3) @ (sK10 @ X3)) = $true) | ((sP0 @ sK6 @ X3) = $true) | ($true = (X3 @ sK7 @ sK5))) )),
% 36.40/6.57    inference(cnf_transformation,[status(thm)],[f21])).
% 36.40/6.57  thf(f179,plain,(
% 36.40/6.57    ( ! [X0 : a] : (((sK11 @ X0 @ (sK10 @ sK11)) != $true) | ((sK11 @ X0 @ (sK9 @ sK11)) = $true)) ) | ~spl12_15),
% 36.40/6.57    inference(avatar_component_clause,[status(thm)],[f178])).
% 36.40/6.57  thf(f178,definition,(
% 36.40/6.57    spl12_15 <=> ! [X0 : a] : (((sK11 @ X0 @ (sK10 @ sK11)) != $true) | ((sK11 @ X0 @ (sK9 @ sK11)) = $true))),
% 36.40/6.57    introduced(definition,[new_symbols(naming,[spl12_15])],[avatar_definition])).
% 36.40/6.57  thf(f29,plain,(
% 36.40/6.57    ( ! [X3 : a > a > $o] : (((X3 @ (sK8 @ X3) @ (sK9 @ X3)) != $true) | ($true = (X3 @ sK7 @ sK5)) | ((sP0 @ sK6 @ X3) = $true)) )),
% 36.40/6.57    inference(cnf_transformation,[status(thm)],[f21])).
% 36.40/6.57  thf(f180,plain,(
% 36.40/6.57    spl12_15 | spl12_14),
% 36.40/6.57    inference(avatar_split_clause,[status(thm)],[f176,f147,f178])).
% 36.40/6.57  thf(f176,plain,(
% 36.40/6.57    ( ! [X0 : a] : (((sP0 @ sK6 @ sK11) = $true) | ((sK11 @ X0 @ (sK10 @ sK11)) != $true) | ((sK11 @ X0 @ (sK9 @ sK11)) = $true)) )),
% 36.40/6.57    inference(subsumption_resolution,[status(thm)],[f171,f26])).
% 36.40/6.57  thf(f171,plain,(
% 36.40/6.57    ( ! [X0 : a] : (((sK11 @ X0 @ (sK10 @ sK11)) != $true) | ((sK11 @ X0 @ (sK9 @ sK11)) = $true) | ($true = (sK11 @ sK7 @ sK5)) | ((sP0 @ sK6 @ sK11) = $true)) )),
% 36.40/6.57    inference(trivial_inequality_removal,[status(thm)],[f157])).
% 36.40/6.57  thf(f157,plain,(
% 36.40/6.57    ( ! [X0 : a] : (($true != $true) | ((sK11 @ X0 @ (sK10 @ sK11)) != $true) | ((sK11 @ X0 @ (sK9 @ sK11)) = $true) | ((sP0 @ sK6 @ sK11) = $true) | ($true = (sK11 @ sK7 @ sK5))) )),
% 36.40/6.57    inference(superposition,[status(thm)],[f28,f31])).
% 36.40/6.57  thf(f31,plain,(
% 36.40/6.57    ( ! [X3 : a > a > $o] : (((X3 @ (sK10 @ X3) @ (sK9 @ X3)) = $true) | ((sP0 @ sK6 @ X3) = $true) | ($true = (X3 @ sK7 @ sK5))) )),
% 36.40/6.57    inference(cnf_transformation,[status(thm)],[f21])).
% 36.40/6.57  % SZS output end Proof for DTF2THF_25817
% 36.40/6.57  % (26256)------------------------------
% 36.40/6.57  % (26256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.40/6.57  % (26256)Termination reason: Refutation
% 36.40/6.57  
% 36.40/6.57  % (26256)Memory used [KB]: 11769
% 36.40/6.57  % (26256)Time elapsed: 1.245 s
% 36.40/6.57  % (26256)Instructions burned: 4227 (million)
% 36.40/6.57  % (26256)------------------------------
% 36.40/6.57  % (26256)------------------------------
% 36.40/6.57  % (26090)Success in time 5.294 s
%------------------------------------------------------------------------------