TSTP Solution File: SEV128^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV128^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 04:12:04 EDT 2024

% Result   : Theorem 7.19s 1.41s
% Output   : Refutation 7.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   62
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  151 (  18 unt;  21 typ;   0 def)
%            Number of atoms       : 1841 ( 515 equ;   0 cnn)
%            Maximal formula atoms :   24 (  14 avg)
%            Number of connectives : 3216 ( 123   ~; 279   |; 178   &;2316   @)
%                                         (   0 <=>; 148  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  485 ( 485   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  19 usr;   5 con; 0-4 aty)
%                                         ( 172  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  621 ( 222   ^ 310   !;  88   ?; 621   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% 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 > a > $o ) > $o ).

thf(func_def_18,type,
    sK6: a ).

thf(func_def_19,type,
    sK7: a ).

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

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 ) > a ).

thf(func_def_24,type,
    ph12: 
      !>[X0: $tType] : X0 ).

thf(func_def_25,type,
    sK13: ( a > a > $o ) > a ).

thf(func_def_26,type,
    sK14: ( a > a > $o ) > a ).

thf(func_def_27,type,
    sK15: ( a > a > $o ) > a ).

thf(func_def_28,type,
    sK16: ( a > a > $o ) > a ).

thf(func_def_29,type,
    sK17: ( a > a > $o ) > a ).

thf(func_def_30,type,
    sK18: a > a > a > a > $o ).

thf(f836,plain,
    $false,
    inference(trivial_inequality_removal,[],[f835]) ).

thf(f835,plain,
    $false = $true,
    inference(forward_demodulation,[],[f834,f467]) ).

thf(f467,plain,
    ( $false
    = ( sK8 @ ( sK16 @ sK8 ) @ ( sK14 @ sK8 ) ) ),
    inference(trivial_inequality_removal,[],[f466]) ).

thf(f466,plain,
    ( ( $false
      = ( sK8 @ ( sK16 @ sK8 ) @ ( sK14 @ sK8 ) ) )
    | ( $false = $true ) ),
    inference(duplicate_literal_removal,[],[f457]) ).

thf(f457,plain,
    ( ( $false
      = ( sK8 @ ( sK16 @ sK8 ) @ ( sK14 @ sK8 ) ) )
    | ( $false = $true )
    | ( $false
      = ( sK8 @ ( sK16 @ sK8 ) @ ( sK14 @ sK8 ) ) ) ),
    inference(superposition,[],[f454,f273]) ).

thf(f273,plain,
    ( ( $false
      = ( sK8 @ ( sK17 @ sK8 ) @ ( sK13 @ sK8 ) ) )
    | ( $false
      = ( sK8 @ ( sK16 @ sK8 ) @ ( sK14 @ sK8 ) ) ) ),
    inference(subsumption_resolution,[],[f272,f52]) ).

thf(f52,plain,
    ( ( sP0 @ sK5 @ sK8 )
    = $true ),
    inference(subsumption_resolution,[],[f51,f30]) ).

thf(f30,plain,
    ( ( sK8 @ sK6 @ sK7 )
   != $true ),
    inference(cnf_transformation,[],[f21]) ).

thf(f21,plain,
    ( ! [X4: a,X5: a,X6: a] :
        ( ( ( sK8 @ X5 @ X4 )
         != $true )
        | ( ( sK8 @ X4 @ X6 )
         != $true )
        | ( ( sK8 @ X5 @ X6 )
          = $true ) )
    & ( ( sK8 @ sK6 @ sK7 )
     != $true )
    & ! [X7: a,X8: a] :
        ( ( ( sK8 @ X8 @ X7 )
          = $true )
        | ! [X9: a > a > $o] :
            ( ( $true
             != ( X9 @ X8 @ X7 ) )
            | ( ( sK5 @ X9 )
             != $true ) ) )
    & ! [X10: a > a > $o] :
        ( ( ( X10 @ sK6 @ sK7 )
          = $true )
        | ( ( $true
            = ( X10 @ ( sK11 @ X10 ) @ ( sK9 @ X10 ) ) )
          & ( $true
            = ( X10 @ ( sK10 @ X10 ) @ ( sK11 @ X10 ) ) )
          & ( ( X10 @ ( sK10 @ X10 ) @ ( sK9 @ X10 ) )
           != $true ) )
        | ( ( sP0 @ sK5 @ X10 )
          = $true ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f17,f20,f19,f18]) ).

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

thf(f19,plain,
    ( ? [X3: a > a > $o] :
        ( ! [X4: a,X5: a,X6: a] :
            ( ( $true
             != ( X3 @ X5 @ X4 ) )
            | ( $true
             != ( X3 @ X4 @ X6 ) )
            | ( ( X3 @ X5 @ X6 )
              = $true ) )
        & ( ( X3 @ sK6 @ sK7 )
         != $true )
        & ! [X8: a,X7: a] :
            ( ( $true
              = ( X3 @ X8 @ X7 ) )
            | ! [X9: a > a > $o] :
                ( ( $true
                 != ( X9 @ X8 @ X7 ) )
                | ( ( sK5 @ X9 )
                 != $true ) ) ) )
   => ( ! [X6: a,X5: a,X4: a] :
          ( ( ( sK8 @ X5 @ X4 )
           != $true )
          | ( ( sK8 @ X4 @ X6 )
           != $true )
          | ( ( sK8 @ X5 @ X6 )
            = $true ) )
      & ( ( sK8 @ sK6 @ sK7 )
       != $true )
      & ! [X8: a,X7: a] :
          ( ( ( sK8 @ X8 @ X7 )
            = $true )
          | ! [X9: a > a > $o] :
              ( ( $true
               != ( X9 @ X8 @ X7 ) )
              | ( ( sK5 @ X9 )
               != $true ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f20,plain,
    ! [X10: a > a > $o] :
      ( ? [X11: a,X12: a,X13: a] :
          ( ( $true
            = ( X10 @ X13 @ X11 ) )
          & ( ( X10 @ X12 @ X13 )
            = $true )
          & ( $true
           != ( X10 @ X12 @ X11 ) ) )
     => ( ( $true
          = ( X10 @ ( sK11 @ X10 ) @ ( sK9 @ X10 ) ) )
        & ( $true
          = ( X10 @ ( sK10 @ X10 ) @ ( sK11 @ X10 ) ) )
        & ( ( X10 @ ( sK10 @ X10 ) @ ( sK9 @ X10 ) )
         != $true ) ) ),
    introduced(choice_axiom,[]) ).

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

thf(f10,plain,
    ? [X0: ( a > a > $o ) > $o,X1: a,X2: a] :
      ( ? [X11: a > a > $o] :
          ( ! [X15: a,X16: a,X17: a] :
              ( ( ( X11 @ X16 @ X15 )
               != $true )
              | ( $true
               != ( X11 @ X15 @ X17 ) )
              | ( ( X11 @ X16 @ X17 )
                = $true ) )
          & ( $true
           != ( X11 @ X1 @ X2 ) )
          & ! [X12: a,X13: a] :
              ( ( ( X11 @ X13 @ X12 )
                = $true )
              | ! [X14: a > a > $o] :
                  ( ( $true
                   != ( X14 @ X13 @ X12 ) )
                  | ( $true
                   != ( X0 @ X14 ) ) ) ) )
      & ! [X3: a > a > $o] :
          ( ( ( X3 @ X1 @ X2 )
            = $true )
          | ? [X8: a,X9: a,X10: a] :
              ( ( ( X3 @ X10 @ X8 )
                = $true )
              & ( ( X3 @ X9 @ X10 )
                = $true )
              & ( $true
               != ( X3 @ X9 @ X8 ) ) )
          | ( ( sP0 @ X0 @ X3 )
            = $true ) ) ),
    inference(definition_folding,[],[f8,f9]) ).

thf(f9,plain,
    ! [X3: a > a > $o,X0: ( a > a > $o ) > $o] :
      ( ? [X4: a,X5: a] :
          ( ( ( X3 @ X4 @ X5 )
           != $true )
          & ? [X6: a > a > $o] :
              ( ( ( X6 @ X4 @ X5 )
                = $true )
              & ? [X7: a > a > $o] :
                  ( ( ( ^ [Y0: a,Y1: a] :
                          ( !! @ ( a > a > $o )
                          @ ^ [Y2: a > a > $o] :
                              ( ( ( !! @ a
                                  @ ^ [Y3: a] :
                                      ( !! @ a
                                      @ ^ [Y4: a] :
                                          ( !! @ a
                                          @ ^ [Y5: a] :
                                              ( ( ( Y2 @ Y4 @ Y3 )
                                                & ( Y2 @ Y5 @ Y4 ) )
                                             => ( Y2 @ Y5 @ Y3 ) ) ) ) )
                                & ( !! @ a
                                  @ ^ [Y3: a] :
                                      ( !! @ a
                                      @ ^ [Y4: a] :
                                          ( ( X7 @ Y4 @ Y3 )
                                         => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                             => ( Y2 @ Y0 @ Y1 ) ) ) )
                    = X6 )
                  & ( ( X0 @ X7 )
                    = $true ) ) ) )
      | ( ( sP0 @ X0 @ X3 )
       != $true ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[=])]) ).

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

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

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

thf(f5,plain,
    ~ ! [X0: ( a > a > $o ) > $o,X1: a,X2: a] :
        ( ! [X3: a > a > $o] :
            ( ( ! [X4: a,X5: a] :
                  ( ? [X6: a > a > $o] :
                      ( ( ( X6 @ X4 @ X5 )
                        = $true )
                      & ? [X7: a > a > $o] :
                          ( ( ( ^ [Y0: a,Y1: a] :
                                  ( !! @ ( a > a > $o )
                                  @ ^ [Y2: a > a > $o] :
                                      ( ( ( !! @ a
                                          @ ^ [Y3: a] :
                                              ( !! @ a
                                              @ ^ [Y4: a] :
                                                  ( !! @ a
                                                  @ ^ [Y5: a] :
                                                      ( ( ( Y2 @ Y4 @ Y3 )
                                                        & ( Y2 @ Y5 @ Y4 ) )
                                                     => ( Y2 @ Y5 @ Y3 ) ) ) ) )
                                        & ( !! @ a
                                          @ ^ [Y3: a] :
                                              ( !! @ a
                                              @ ^ [Y4: a] :
                                                  ( ( X7 @ Y4 @ Y3 )
                                                 => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                                     => ( Y2 @ Y0 @ Y1 ) ) ) )
                            = X6 )
                          & ( ( X0 @ X7 )
                            = $true ) ) )
                 => ( ( X3 @ X4 @ X5 )
                    = $true ) )
              & ! [X16: a,X17: a,X18: a] :
                  ( ( ( ( X3 @ X17 @ X18 )
                      = $true )
                    & ( $true
                      = ( X3 @ X18 @ X16 ) ) )
                 => ( $true
                    = ( X3 @ X17 @ X16 ) ) ) )
           => ( ( X3 @ X1 @ X2 )
              = $true ) )
       => ! [X19: a > a > $o] :
            ( ( ! [X20: a,X21: a] :
                  ( ? [X22: a > a > $o] :
                      ( ( $true
                        = ( X22 @ X21 @ X20 ) )
                      & ( ( X0 @ X22 )
                        = $true ) )
                 => ( $true
                    = ( X19 @ X21 @ X20 ) ) )
              & ! [X23: a,X24: a,X25: a] :
                  ( ( ( ( X19 @ X23 @ X25 )
                      = $true )
                    & ( ( X19 @ X24 @ X23 )
                      = $true ) )
                 => ( ( X19 @ X24 @ X25 )
                    = $true ) ) )
           => ( $true
              = ( X19 @ X1 @ X2 ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

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

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

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

thf(f51,plain,
    ( ( ( sP0 @ sK5 @ sK8 )
      = $true )
    | ( ( sK8 @ sK6 @ sK7 )
      = $true ) ),
    inference(trivial_inequality_removal,[],[f50]) ).

thf(f50,plain,
    ( ( $true != $true )
    | ( ( sK8 @ sK6 @ sK7 )
      = $true )
    | ( ( sP0 @ sK5 @ sK8 )
      = $true ) ),
    inference(duplicate_literal_removal,[],[f47]) ).

thf(f47,plain,
    ( ( ( sK8 @ sK6 @ sK7 )
      = $true )
    | ( ( sP0 @ sK5 @ sK8 )
      = $true )
    | ( $true != $true )
    | ( ( sP0 @ sK5 @ sK8 )
      = $true ) ),
    inference(superposition,[],[f26,f45]) ).

thf(f45,plain,
    ( ( ( sK8 @ ( sK10 @ sK8 ) @ ( sK9 @ sK8 ) )
      = $true )
    | ( ( sP0 @ sK5 @ sK8 )
      = $true ) ),
    inference(subsumption_resolution,[],[f44,f30]) ).

thf(f44,plain,
    ( ( ( sK8 @ ( sK10 @ sK8 ) @ ( sK9 @ sK8 ) )
      = $true )
    | ( ( sK8 @ sK6 @ sK7 )
      = $true )
    | ( ( sP0 @ sK5 @ sK8 )
      = $true ) ),
    inference(trivial_inequality_removal,[],[f43]) ).

thf(f43,plain,
    ( ( ( sP0 @ sK5 @ sK8 )
      = $true )
    | ( ( sK8 @ sK6 @ sK7 )
      = $true )
    | ( ( sK8 @ ( sK10 @ sK8 ) @ ( sK9 @ sK8 ) )
      = $true )
    | ( $true != $true ) ),
    inference(duplicate_literal_removal,[],[f42]) ).

thf(f42,plain,
    ( ( ( sP0 @ sK5 @ sK8 )
      = $true )
    | ( $true != $true )
    | ( ( sK8 @ ( sK10 @ sK8 ) @ ( sK9 @ sK8 ) )
      = $true )
    | ( ( sK8 @ sK6 @ sK7 )
      = $true )
    | ( ( sP0 @ sK5 @ sK8 )
      = $true ) ),
    inference(superposition,[],[f36,f28]) ).

thf(f28,plain,
    ! [X10: a > a > $o] :
      ( ( $true
        = ( X10 @ ( sK11 @ X10 ) @ ( sK9 @ X10 ) ) )
      | ( ( X10 @ sK6 @ sK7 )
        = $true )
      | ( ( sP0 @ sK5 @ X10 )
        = $true ) ),
    inference(cnf_transformation,[],[f21]) ).

thf(f36,plain,
    ! [X0: a] :
      ( ( ( sK8 @ ( sK11 @ sK8 ) @ X0 )
       != $true )
      | ( ( sK8 @ ( sK10 @ sK8 ) @ X0 )
        = $true )
      | ( ( sP0 @ sK5 @ sK8 )
        = $true ) ),
    inference(subsumption_resolution,[],[f35,f30]) ).

thf(f35,plain,
    ! [X0: a] :
      ( ( ( sK8 @ sK6 @ sK7 )
        = $true )
      | ( ( sK8 @ ( sK11 @ sK8 ) @ X0 )
       != $true )
      | ( ( sP0 @ sK5 @ sK8 )
        = $true )
      | ( ( sK8 @ ( sK10 @ sK8 ) @ X0 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f32]) ).

thf(f32,plain,
    ! [X0: a] :
      ( ( $true != $true )
      | ( ( sK8 @ sK6 @ sK7 )
        = $true )
      | ( ( sP0 @ sK5 @ sK8 )
        = $true )
      | ( ( sK8 @ ( sK10 @ sK8 ) @ X0 )
        = $true )
      | ( ( sK8 @ ( sK11 @ sK8 ) @ X0 )
       != $true ) ),
    inference(superposition,[],[f31,f27]) ).

thf(f27,plain,
    ! [X10: a > a > $o] :
      ( ( $true
        = ( X10 @ ( sK10 @ X10 ) @ ( sK11 @ X10 ) ) )
      | ( ( sP0 @ sK5 @ X10 )
        = $true )
      | ( ( X10 @ sK6 @ sK7 )
        = $true ) ),
    inference(cnf_transformation,[],[f21]) ).

thf(f31,plain,
    ! [X6: a,X4: a,X5: a] :
      ( ( ( sK8 @ X5 @ X4 )
       != $true )
      | ( ( sK8 @ X5 @ X6 )
        = $true )
      | ( ( sK8 @ X4 @ X6 )
       != $true ) ),
    inference(cnf_transformation,[],[f21]) ).

thf(f26,plain,
    ! [X10: a > a > $o] :
      ( ( ( X10 @ ( sK10 @ X10 ) @ ( sK9 @ X10 ) )
       != $true )
      | ( ( X10 @ sK6 @ sK7 )
        = $true )
      | ( ( sP0 @ sK5 @ X10 )
        = $true ) ),
    inference(cnf_transformation,[],[f21]) ).

thf(f272,plain,
    ( ( $false
      = ( sK8 @ ( sK17 @ sK8 ) @ ( sK13 @ sK8 ) ) )
    | ( ( sP0 @ sK5 @ sK8 )
     != $true )
    | ( $false
      = ( sK8 @ ( sK16 @ sK8 ) @ ( sK14 @ sK8 ) ) ) ),
    inference(trivial_inequality_removal,[],[f254]) ).

thf(f254,plain,
    ( ( $false
      = ( sK8 @ ( sK17 @ sK8 ) @ ( sK13 @ sK8 ) ) )
    | ( $false
      = ( sK8 @ ( sK16 @ sK8 ) @ ( sK14 @ sK8 ) ) )
    | ( $true != $true )
    | ( ( sP0 @ sK5 @ sK8 )
     != $true ) ),
    inference(superposition,[],[f25,f148]) ).

thf(f148,plain,
    ! [X0: a > a > $o] :
      ( ( $true
        = ( X0 @ ( sK1 @ sK5 @ sK8 ) @ ( sK2 @ sK5 @ sK8 ) ) )
      | ( $false
        = ( X0 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) )
      | ( $false
        = ( X0 @ ( sK16 @ X0 ) @ ( sK14 @ X0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f136]) ).

thf(f136,plain,
    ! [X0: a > a > $o] :
      ( ( $true
        = ( X0 @ ( sK1 @ sK5 @ sK8 ) @ ( sK2 @ sK5 @ sK8 ) ) )
      | ( $false
        = ( X0 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) )
      | ( $false
        = ( X0 @ ( sK16 @ X0 ) @ ( sK14 @ X0 ) ) )
      | ( $false = $true ) ),
    inference(superposition,[],[f69,f105]) ).

thf(f105,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( $false
        = ( X3 @ ( sK17 @ X3 ) @ ( sK13 @ X3 ) ) )
      | ( ( X3 @ X1 @ X2 )
        = $true )
      | ( $false
        = ( X3 @ ( sK16 @ X3 ) @ ( sK14 @ X3 ) ) ) ),
    inference(binary_proxy_clausification,[],[f97]) ).

thf(f97,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( $false
        = ( ( sK4 @ sK5 @ sK8 @ ( sK17 @ X3 ) @ ( sK13 @ X3 ) )
         => ( X3 @ ( sK17 @ X3 ) @ ( sK13 @ X3 ) ) ) )
      | ( ( X3 @ X1 @ X2 )
        = $true )
      | ( $false
        = ( X3 @ ( sK16 @ X3 ) @ ( sK14 @ X3 ) ) ) ),
    inference(binary_proxy_clausification,[],[f96]) ).

thf(f96,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( $false
        = ( ( ( X3 @ ( sK15 @ X3 ) @ ( sK14 @ X3 ) )
            & ( X3 @ ( sK16 @ X3 ) @ ( sK15 @ X3 ) ) )
         => ( X3 @ ( sK16 @ X3 ) @ ( sK14 @ X3 ) ) ) )
      | ( $false
        = ( ( sK4 @ sK5 @ sK8 @ ( sK17 @ X3 ) @ ( sK13 @ X3 ) )
         => ( X3 @ ( sK17 @ X3 ) @ ( sK13 @ X3 ) ) ) )
      | ( ( X3 @ X1 @ X2 )
        = $true ) ),
    inference(beta_eta_normalization,[],[f95]) ).

thf(f95,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( $false
        = ( ( ( X3 @ ( sK15 @ X3 ) @ ( sK14 @ X3 ) )
            & ( X3 @ ( sK16 @ X3 ) @ ( sK15 @ X3 ) ) )
         => ( X3 @ ( sK16 @ X3 ) @ ( sK14 @ X3 ) ) ) )
      | ( ( X3 @ X1 @ X2 )
        = $true )
      | ( $false
        = ( ^ [Y0: a] :
              ( ( sK4 @ sK5 @ sK8 @ Y0 @ ( sK13 @ X3 ) )
             => ( X3 @ Y0 @ ( sK13 @ X3 ) ) )
          @ ( sK17 @ X3 ) ) )
      | ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) ) ),
    inference(sigma_clausification,[],[f94]) ).

thf(f94,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( ( X3 @ X1 @ X2 )
        = $true )
      | ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK4 @ sK5 @ sK8 @ Y0 @ ( sK13 @ X3 ) )
             => ( X3 @ Y0 @ ( sK13 @ X3 ) ) ) ) )
      | ( $false
        = ( ( ( X3 @ ( sK15 @ X3 ) @ ( sK14 @ X3 ) )
            & ( X3 @ ( sK16 @ X3 ) @ ( sK15 @ X3 ) ) )
         => ( X3 @ ( sK16 @ X3 ) @ ( sK14 @ X3 ) ) ) ) ),
    inference(beta_eta_normalization,[],[f93]) ).

thf(f93,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( ( X3 @ X1 @ X2 )
        = $true )
      | ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK4 @ sK5 @ sK8 @ Y0 @ ( sK13 @ X3 ) )
             => ( X3 @ Y0 @ ( sK13 @ X3 ) ) ) ) )
      | ( $false
        = ( ^ [Y0: a] :
              ( ( ( X3 @ ( sK15 @ X3 ) @ ( sK14 @ X3 ) )
                & ( X3 @ Y0 @ ( sK15 @ X3 ) ) )
             => ( X3 @ Y0 @ ( sK14 @ X3 ) ) )
          @ ( sK16 @ X3 ) ) )
      | ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) ) ),
    inference(sigma_clausification,[],[f92]) ).

thf(f92,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( ( X3 @ X1 @ X2 )
        = $true )
      | ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( ( X3 @ ( sK15 @ X3 ) @ ( sK14 @ X3 ) )
                & ( X3 @ Y0 @ ( sK15 @ X3 ) ) )
             => ( X3 @ Y0 @ ( sK14 @ X3 ) ) ) ) )
      | ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK4 @ sK5 @ sK8 @ Y0 @ ( sK13 @ X3 ) )
             => ( X3 @ Y0 @ ( sK13 @ X3 ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f91]) ).

thf(f91,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( $false
        = ( ^ [Y0: a] :
              ( !! @ a
              @ ^ [Y1: a] :
                  ( ( ( X3 @ Y0 @ ( sK14 @ X3 ) )
                    & ( X3 @ Y1 @ Y0 ) )
                 => ( X3 @ Y1 @ ( sK14 @ X3 ) ) ) )
          @ ( sK15 @ X3 ) ) )
      | ( ( X3 @ X1 @ X2 )
        = $true )
      | ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK4 @ sK5 @ sK8 @ Y0 @ ( sK13 @ X3 ) )
             => ( X3 @ Y0 @ ( sK13 @ X3 ) ) ) ) ) ),
    inference(sigma_clausification,[],[f90]) ).

thf(f90,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( ( X3 @ X1 @ X2 )
        = $true )
      | ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( !! @ a
              @ ^ [Y1: a] :
                  ( ( ( X3 @ Y0 @ ( sK14 @ X3 ) )
                    & ( X3 @ Y1 @ Y0 ) )
                 => ( X3 @ Y1 @ ( sK14 @ X3 ) ) ) ) ) )
      | ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK4 @ sK5 @ sK8 @ Y0 @ ( sK13 @ X3 ) )
             => ( X3 @ Y0 @ ( sK13 @ X3 ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f89]) ).

thf(f89,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK4 @ sK5 @ sK8 @ Y0 @ ( sK13 @ X3 ) )
             => ( X3 @ Y0 @ ( sK13 @ X3 ) ) ) ) )
      | ( $false
        = ( ^ [Y0: a] :
              ( !! @ a
              @ ^ [Y1: a] :
                  ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( ( X3 @ Y1 @ Y0 )
                        & ( X3 @ Y2 @ Y1 ) )
                     => ( X3 @ Y2 @ Y0 ) ) ) )
          @ ( sK14 @ X3 ) ) )
      | ( ( X3 @ X1 @ X2 )
        = $true )
      | ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) ) ),
    inference(sigma_clausification,[],[f88]) ).

thf(f88,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( !! @ a
              @ ^ [Y1: a] :
                  ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( ( X3 @ Y1 @ Y0 )
                        & ( X3 @ Y2 @ Y1 ) )
                     => ( X3 @ Y2 @ Y0 ) ) ) ) ) )
      | ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( ( X3 @ X1 @ X2 )
        = $true )
      | ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( ( sK4 @ sK5 @ sK8 @ Y0 @ ( sK13 @ X3 ) )
             => ( X3 @ Y0 @ ( sK13 @ X3 ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f87]) ).

thf(f87,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( ( X3 @ X1 @ X2 )
        = $true )
      | ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( !! @ a
              @ ^ [Y1: a] :
                  ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( ( X3 @ Y1 @ Y0 )
                        & ( X3 @ Y2 @ Y1 ) )
                     => ( X3 @ Y2 @ Y0 ) ) ) ) ) )
      | ( $false
        = ( ^ [Y0: a] :
              ( !! @ a
              @ ^ [Y1: a] :
                  ( ( sK4 @ sK5 @ sK8 @ Y1 @ Y0 )
                 => ( X3 @ Y1 @ Y0 ) ) )
          @ ( sK13 @ X3 ) ) )
      | ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) ) ),
    inference(sigma_clausification,[],[f86]) ).

thf(f86,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( !! @ a
              @ ^ [Y1: a] :
                  ( ( sK4 @ sK5 @ sK8 @ Y1 @ Y0 )
                 => ( X3 @ Y1 @ Y0 ) ) ) ) )
      | ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( ( X3 @ X1 @ X2 )
        = $true )
      | ( $false
        = ( !! @ a
          @ ^ [Y0: a] :
              ( !! @ a
              @ ^ [Y1: a] :
                  ( !! @ a
                  @ ^ [Y2: a] :
                      ( ( ( X3 @ Y1 @ Y0 )
                        & ( X3 @ Y2 @ Y1 ) )
                     => ( X3 @ Y2 @ Y0 ) ) ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f85]) ).

thf(f85,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( $false
        = ( ( !! @ a
            @ ^ [Y0: a] :
                ( !! @ a
                @ ^ [Y1: a] :
                    ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( ( X3 @ Y1 @ Y0 )
                          & ( X3 @ Y2 @ Y1 ) )
                       => ( X3 @ Y2 @ Y0 ) ) ) ) )
          & ( !! @ a
            @ ^ [Y0: a] :
                ( !! @ a
                @ ^ [Y1: a] :
                    ( ( sK4 @ sK5 @ sK8 @ Y1 @ Y0 )
                   => ( X3 @ Y1 @ Y0 ) ) ) ) ) )
      | ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( ( X3 @ X1 @ X2 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f84]) ).

thf(f84,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( ( ( ( !! @ a
              @ ^ [Y0: a] :
                  ( !! @ a
                  @ ^ [Y1: a] :
                      ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( ( X3 @ Y1 @ Y0 )
                            & ( X3 @ Y2 @ Y1 ) )
                         => ( X3 @ Y2 @ Y0 ) ) ) ) )
            & ( !! @ a
              @ ^ [Y0: a] :
                  ( !! @ a
                  @ ^ [Y1: a] :
                      ( ( sK4 @ sK5 @ sK8 @ Y1 @ Y0 )
                     => ( X3 @ Y1 @ Y0 ) ) ) ) )
         => ( X3 @ X1 @ X2 ) )
        = $true ) ),
    inference(beta_eta_normalization,[],[f83]) ).

thf(f83,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( ( ^ [Y0: a > a > $o] :
              ( ( ( !! @ a
                  @ ^ [Y1: a] :
                      ( !! @ a
                      @ ^ [Y2: a] :
                          ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( ( Y0 @ Y2 @ Y1 )
                                & ( Y0 @ Y3 @ Y2 ) )
                             => ( Y0 @ Y3 @ Y1 ) ) ) ) )
                & ( !! @ a
                  @ ^ [Y1: a] :
                      ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( sK4 @ sK5 @ sK8 @ Y2 @ Y1 )
                         => ( Y0 @ Y2 @ Y1 ) ) ) ) )
             => ( Y0 @ X1 @ X2 ) )
          @ X3 )
        = $true )
      | ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) ) ),
    inference(pi_clausification,[],[f82]) ).

thf(f82,plain,
    ! [X2: a,X1: a] :
      ( ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( ( !! @ ( a > a > $o )
          @ ^ [Y0: a > a > $o] :
              ( ( ( !! @ a
                  @ ^ [Y1: a] :
                      ( !! @ a
                      @ ^ [Y2: a] :
                          ( !! @ a
                          @ ^ [Y3: a] :
                              ( ( ( Y0 @ Y2 @ Y1 )
                                & ( Y0 @ Y3 @ Y2 ) )
                             => ( Y0 @ Y3 @ Y1 ) ) ) ) )
                & ( !! @ a
                  @ ^ [Y1: a] :
                      ( !! @ a
                      @ ^ [Y2: a] :
                          ( ( sK4 @ sK5 @ sK8 @ Y2 @ Y1 )
                         => ( Y0 @ Y2 @ Y1 ) ) ) ) )
             => ( Y0 @ X1 @ X2 ) ) )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f80]) ).

thf(f80,plain,
    ! [X2: a,X1: a] :
      ( ( sK3 @ sK5 @ sK8 @ X1 @ X2 )
      = ( !! @ ( a > a > $o )
        @ ^ [Y0: a > a > $o] :
            ( ( ( !! @ a
                @ ^ [Y1: a] :
                    ( !! @ a
                    @ ^ [Y2: a] :
                        ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( ( Y0 @ Y2 @ Y1 )
                              & ( Y0 @ Y3 @ Y2 ) )
                           => ( Y0 @ Y3 @ Y1 ) ) ) ) )
              & ( !! @ a
                @ ^ [Y1: a] :
                    ( !! @ a
                    @ ^ [Y2: a] :
                        ( ( sK4 @ sK5 @ sK8 @ Y2 @ Y1 )
                       => ( Y0 @ Y2 @ Y1 ) ) ) ) )
           => ( Y0 @ X1 @ X2 ) ) ) ),
    inference(beta_eta_normalization,[],[f79]) ).

thf(f79,plain,
    ! [X2: a,X1: a] :
      ( ( ^ [Y0: a] :
            ( !! @ ( a > a > $o )
            @ ^ [Y1: a > a > $o] :
                ( ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( !! @ a
                        @ ^ [Y3: a] :
                            ( !! @ a
                            @ ^ [Y4: a] :
                                ( ( ( Y1 @ Y3 @ Y2 )
                                  & ( Y1 @ Y4 @ Y3 ) )
                               => ( Y1 @ Y4 @ Y2 ) ) ) ) )
                  & ( !! @ a
                    @ ^ [Y2: a] :
                        ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( sK4 @ sK5 @ sK8 @ Y3 @ Y2 )
                           => ( Y1 @ Y3 @ Y2 ) ) ) ) )
               => ( Y1 @ X1 @ Y0 ) ) )
        @ X2 )
      = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) ),
    inference(argument_congruence,[],[f78]) ).

thf(f78,plain,
    ! [X1: a] :
      ( ( sK3 @ sK5 @ sK8 @ X1 )
      = ( ^ [Y0: a] :
            ( !! @ ( a > a > $o )
            @ ^ [Y1: a > a > $o] :
                ( ( ( !! @ a
                    @ ^ [Y2: a] :
                        ( !! @ a
                        @ ^ [Y3: a] :
                            ( !! @ a
                            @ ^ [Y4: a] :
                                ( ( ( Y1 @ Y3 @ Y2 )
                                  & ( Y1 @ Y4 @ Y3 ) )
                               => ( Y1 @ Y4 @ Y2 ) ) ) ) )
                  & ( !! @ a
                    @ ^ [Y2: a] :
                        ( !! @ a
                        @ ^ [Y3: a] :
                            ( ( sK4 @ sK5 @ sK8 @ Y3 @ Y2 )
                           => ( Y1 @ Y3 @ Y2 ) ) ) ) )
               => ( Y1 @ X1 @ Y0 ) ) ) ) ),
    inference(beta_eta_normalization,[],[f77]) ).

thf(f77,plain,
    ! [X1: a] :
      ( ( sK3 @ sK5 @ sK8 @ X1 )
      = ( ^ [Y0: a,Y1: a] :
            ( !! @ ( a > a > $o )
            @ ^ [Y2: a > a > $o] :
                ( ( ( !! @ a
                    @ ^ [Y3: a] :
                        ( !! @ a
                        @ ^ [Y4: a] :
                            ( !! @ a
                            @ ^ [Y5: a] :
                                ( ( ( Y2 @ Y4 @ Y3 )
                                  & ( Y2 @ Y5 @ Y4 ) )
                               => ( Y2 @ Y5 @ Y3 ) ) ) ) )
                  & ( !! @ a
                    @ ^ [Y3: a] :
                        ( !! @ a
                        @ ^ [Y4: a] :
                            ( ( sK4 @ sK5 @ sK8 @ Y4 @ Y3 )
                           => ( Y2 @ Y4 @ Y3 ) ) ) ) )
               => ( Y2 @ Y0 @ Y1 ) ) )
        @ X1 ) ),
    inference(argument_congruence,[],[f76]) ).

thf(f76,plain,
    ( ( ^ [Y0: a,Y1: a] :
          ( !! @ ( a > a > $o )
          @ ^ [Y2: a > a > $o] :
              ( ( ( !! @ a
                  @ ^ [Y3: a] :
                      ( !! @ a
                      @ ^ [Y4: a] :
                          ( !! @ a
                          @ ^ [Y5: a] :
                              ( ( ( Y2 @ Y4 @ Y3 )
                                & ( Y2 @ Y5 @ Y4 ) )
                             => ( Y2 @ Y5 @ Y3 ) ) ) ) )
                & ( !! @ a
                  @ ^ [Y3: a] :
                      ( !! @ a
                      @ ^ [Y4: a] :
                          ( ( sK4 @ sK5 @ sK8 @ Y4 @ Y3 )
                         => ( Y2 @ Y4 @ Y3 ) ) ) ) )
             => ( Y2 @ Y0 @ Y1 ) ) ) )
    = ( sK3 @ sK5 @ sK8 ) ),
    inference(trivial_inequality_removal,[],[f75]) ).

thf(f75,plain,
    ( ( ( ^ [Y0: a,Y1: a] :
            ( !! @ ( a > a > $o )
            @ ^ [Y2: a > a > $o] :
                ( ( ( !! @ a
                    @ ^ [Y3: a] :
                        ( !! @ a
                        @ ^ [Y4: a] :
                            ( !! @ a
                            @ ^ [Y5: a] :
                                ( ( ( Y2 @ Y4 @ Y3 )
                                  & ( Y2 @ Y5 @ Y4 ) )
                               => ( Y2 @ Y5 @ Y3 ) ) ) ) )
                  & ( !! @ a
                    @ ^ [Y3: a] :
                        ( !! @ a
                        @ ^ [Y4: a] :
                            ( ( sK4 @ sK5 @ sK8 @ Y4 @ Y3 )
                           => ( Y2 @ Y4 @ Y3 ) ) ) ) )
               => ( Y2 @ Y0 @ Y1 ) ) ) )
      = ( sK3 @ sK5 @ sK8 ) )
    | ( $true != $true ) ),
    inference(superposition,[],[f23,f52]) ).

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

thf(f16,plain,
    ! [X0: a > a > $o,X1: ( a > a > $o ) > $o] :
      ( ( ( $true
         != ( X0 @ ( sK1 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) ) )
        & ( ( sK3 @ X1 @ X0 @ ( sK1 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) )
          = $true )
        & ( ( ^ [Y0: a,Y1: a] :
                ( !! @ ( a > a > $o )
                @ ^ [Y2: a > a > $o] :
                    ( ( ( !! @ a
                        @ ^ [Y3: a] :
                            ( !! @ a
                            @ ^ [Y4: a] :
                                ( !! @ a
                                @ ^ [Y5: a] :
                                    ( ( ( Y2 @ Y4 @ Y3 )
                                      & ( Y2 @ Y5 @ Y4 ) )
                                   => ( Y2 @ Y5 @ Y3 ) ) ) ) )
                      & ( !! @ a
                        @ ^ [Y3: a] :
                            ( !! @ a
                            @ ^ [Y4: a] :
                                ( ( sK4 @ X1 @ X0 @ Y4 @ Y3 )
                               => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                   => ( Y2 @ Y0 @ Y1 ) ) ) )
          = ( sK3 @ X1 @ X0 ) )
        & ( ( X1 @ ( sK4 @ X1 @ X0 ) )
          = $true ) )
      | ( $true
       != ( sP0 @ X1 @ X0 ) ) ),
    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] :
              ( ( ( X4 @ X2 @ X3 )
                = $true )
              & ? [X5: a > a > $o] :
                  ( ( ( ^ [Y0: a,Y1: a] :
                          ( !! @ ( a > a > $o )
                          @ ^ [Y2: a > a > $o] :
                              ( ( ( !! @ a
                                  @ ^ [Y3: a] :
                                      ( !! @ a
                                      @ ^ [Y4: a] :
                                          ( !! @ a
                                          @ ^ [Y5: a] :
                                              ( ( ( Y2 @ Y4 @ Y3 )
                                                & ( Y2 @ Y5 @ Y4 ) )
                                             => ( Y2 @ Y5 @ Y3 ) ) ) ) )
                                & ( !! @ a
                                  @ ^ [Y3: a] :
                                      ( !! @ a
                                      @ ^ [Y4: a] :
                                          ( ( X5 @ Y4 @ Y3 )
                                         => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                             => ( Y2 @ Y0 @ Y1 ) ) ) )
                    = X4 )
                  & ( $true
                    = ( X1 @ X5 ) ) ) ) )
     => ( ( $true
         != ( X0 @ ( sK1 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) ) )
        & ? [X4: a > a > $o] :
            ( ( $true
              = ( X4 @ ( sK1 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) ) )
            & ? [X5: a > a > $o] :
                ( ( ( ^ [Y0: a,Y1: a] :
                        ( !! @ ( a > a > $o )
                        @ ^ [Y2: a > a > $o] :
                            ( ( ( !! @ a
                                @ ^ [Y3: a] :
                                    ( !! @ a
                                    @ ^ [Y4: a] :
                                        ( !! @ a
                                        @ ^ [Y5: a] :
                                            ( ( ( Y2 @ Y4 @ Y3 )
                                              & ( Y2 @ Y5 @ Y4 ) )
                                           => ( Y2 @ Y5 @ Y3 ) ) ) ) )
                              & ( !! @ a
                                @ ^ [Y3: a] :
                                    ( !! @ a
                                    @ ^ [Y4: a] :
                                        ( ( X5 @ Y4 @ Y3 )
                                       => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                           => ( Y2 @ Y0 @ Y1 ) ) ) )
                  = X4 )
                & ( $true
                  = ( X1 @ X5 ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

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

thf(f15,plain,
    ! [X0: a > a > $o,X1: ( a > a > $o ) > $o] :
      ( ? [X5: a > a > $o] :
          ( ( ( ^ [Y0: a,Y1: a] :
                  ( !! @ ( a > a > $o )
                  @ ^ [Y2: a > a > $o] :
                      ( ( ( !! @ a
                          @ ^ [Y3: a] :
                              ( !! @ a
                              @ ^ [Y4: a] :
                                  ( !! @ a
                                  @ ^ [Y5: a] :
                                      ( ( ( Y2 @ Y4 @ Y3 )
                                        & ( Y2 @ Y5 @ Y4 ) )
                                     => ( Y2 @ Y5 @ Y3 ) ) ) ) )
                        & ( !! @ a
                          @ ^ [Y3: a] :
                              ( !! @ a
                              @ ^ [Y4: a] :
                                  ( ( X5 @ Y4 @ Y3 )
                                 => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                     => ( Y2 @ Y0 @ Y1 ) ) ) )
            = ( sK3 @ X1 @ X0 ) )
          & ( $true
            = ( X1 @ X5 ) ) )
     => ( ( ( ^ [Y0: a,Y1: a] :
                ( !! @ ( a > a > $o )
                @ ^ [Y2: a > a > $o] :
                    ( ( ( !! @ a
                        @ ^ [Y3: a] :
                            ( !! @ a
                            @ ^ [Y4: a] :
                                ( !! @ a
                                @ ^ [Y5: a] :
                                    ( ( ( Y2 @ Y4 @ Y3 )
                                      & ( Y2 @ Y5 @ Y4 ) )
                                   => ( Y2 @ Y5 @ Y3 ) ) ) ) )
                      & ( !! @ a
                        @ ^ [Y3: a] :
                            ( !! @ a
                            @ ^ [Y4: a] :
                                ( ( sK4 @ X1 @ X0 @ Y4 @ Y3 )
                               => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                   => ( Y2 @ Y0 @ Y1 ) ) ) )
          = ( sK3 @ X1 @ X0 ) )
        & ( ( X1 @ ( sK4 @ X1 @ X0 ) )
          = $true ) ) ),
    introduced(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] :
              ( ( ( X4 @ X2 @ X3 )
                = $true )
              & ? [X5: a > a > $o] :
                  ( ( ( ^ [Y0: a,Y1: a] :
                          ( !! @ ( a > a > $o )
                          @ ^ [Y2: a > a > $o] :
                              ( ( ( !! @ a
                                  @ ^ [Y3: a] :
                                      ( !! @ a
                                      @ ^ [Y4: a] :
                                          ( !! @ a
                                          @ ^ [Y5: a] :
                                              ( ( ( Y2 @ Y4 @ Y3 )
                                                & ( Y2 @ Y5 @ Y4 ) )
                                             => ( Y2 @ Y5 @ Y3 ) ) ) ) )
                                & ( !! @ a
                                  @ ^ [Y3: a] :
                                      ( !! @ a
                                      @ ^ [Y4: a] :
                                          ( ( X5 @ Y4 @ Y3 )
                                         => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                             => ( Y2 @ Y0 @ Y1 ) ) ) )
                    = X4 )
                  & ( $true
                    = ( X1 @ X5 ) ) ) ) )
      | ( $true
       != ( sP0 @ X1 @ X0 ) ) ),
    inference(rectify,[],[f11]) ).

thf(f11,plain,
    ! [X3: a > a > $o,X0: ( a > a > $o ) > $o] :
      ( ? [X4: a,X5: a] :
          ( ( ( X3 @ X4 @ X5 )
           != $true )
          & ? [X6: a > a > $o] :
              ( ( ( X6 @ X4 @ X5 )
                = $true )
              & ? [X7: a > a > $o] :
                  ( ( ( ^ [Y0: a,Y1: a] :
                          ( !! @ ( a > a > $o )
                          @ ^ [Y2: a > a > $o] :
                              ( ( ( !! @ a
                                  @ ^ [Y3: a] :
                                      ( !! @ a
                                      @ ^ [Y4: a] :
                                          ( !! @ a
                                          @ ^ [Y5: a] :
                                              ( ( ( Y2 @ Y4 @ Y3 )
                                                & ( Y2 @ Y5 @ Y4 ) )
                                             => ( Y2 @ Y5 @ Y3 ) ) ) ) )
                                & ( !! @ a
                                  @ ^ [Y3: a] :
                                      ( !! @ a
                                      @ ^ [Y4: a] :
                                          ( ( X7 @ Y4 @ Y3 )
                                         => ( Y2 @ Y4 @ Y3 ) ) ) ) )
                             => ( Y2 @ Y0 @ Y1 ) ) ) )
                    = X6 )
                  & ( ( X0 @ X7 )
                    = $true ) ) ) )
      | ( ( sP0 @ X0 @ X3 )
       != $true ) ),
    inference(nnf_transformation,[],[f9]) ).

thf(f69,plain,
    ( ( sK3 @ sK5 @ sK8 @ ( sK1 @ sK5 @ sK8 ) @ ( sK2 @ sK5 @ sK8 ) )
    = $true ),
    inference(trivial_inequality_removal,[],[f68]) ).

thf(f68,plain,
    ( ( ( sK3 @ sK5 @ sK8 @ ( sK1 @ sK5 @ sK8 ) @ ( sK2 @ sK5 @ sK8 ) )
      = $true )
    | ( $true != $true ) ),
    inference(superposition,[],[f24,f52]) ).

thf(f24,plain,
    ! [X0: a > a > $o,X1: ( a > a > $o ) > $o] :
      ( ( $true
       != ( sP0 @ X1 @ X0 ) )
      | ( ( sK3 @ X1 @ X0 @ ( sK1 @ X1 @ X0 ) @ ( sK2 @ X1 @ X0 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f16]) ).

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

thf(f454,plain,
    ( ( $true
      = ( sK8 @ ( sK17 @ sK8 ) @ ( sK13 @ sK8 ) ) )
    | ( $false
      = ( sK8 @ ( sK16 @ sK8 ) @ ( sK14 @ sK8 ) ) ) ),
    inference(subsumption_resolution,[],[f439,f52]) ).

thf(f439,plain,
    ( ( $false
      = ( sK8 @ ( sK16 @ sK8 ) @ ( sK14 @ sK8 ) ) )
    | ( ( sP0 @ sK5 @ sK8 )
     != $true )
    | ( $true
      = ( sK8 @ ( sK17 @ sK8 ) @ ( sK13 @ sK8 ) ) ) ),
    inference(trivial_inequality_removal,[],[f431]) ).

thf(f431,plain,
    ( ( $true != $true )
    | ( $false
      = ( sK8 @ ( sK16 @ sK8 ) @ ( sK14 @ sK8 ) ) )
    | ( $true
      = ( sK8 @ ( sK17 @ sK8 ) @ ( sK13 @ sK8 ) ) )
    | ( ( sP0 @ sK5 @ sK8 )
     != $true ) ),
    inference(superposition,[],[f25,f349]) ).

thf(f349,plain,
    ! [X0: a > a > $o] :
      ( ( $true
        = ( X0 @ ( sK1 @ sK5 @ sK8 ) @ ( sK2 @ sK5 @ sK8 ) ) )
      | ( $false
        = ( X0 @ ( sK16 @ X0 ) @ ( sK14 @ X0 ) ) )
      | ( $true
        = ( sK8 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f322]) ).

thf(f322,plain,
    ! [X0: a > a > $o] :
      ( ( $true
        = ( sK8 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) )
      | ( $false
        = ( X0 @ ( sK16 @ X0 ) @ ( sK14 @ X0 ) ) )
      | ( $false = $true )
      | ( $true
        = ( X0 @ ( sK1 @ sK5 @ sK8 ) @ ( sK2 @ sK5 @ sK8 ) ) ) ),
    inference(superposition,[],[f319,f69]) ).

thf(f319,plain,
    ! [X2: a,X0: a > a > $o,X1: a] :
      ( ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( $false
        = ( X0 @ ( sK16 @ X0 ) @ ( sK14 @ X0 ) ) )
      | ( $true
        = ( sK8 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) )
      | ( $true
        = ( X0 @ X1 @ X2 ) ) ),
    inference(subsumption_resolution,[],[f317,f54]) ).

thf(f54,plain,
    ( ( sK5 @ ( sK4 @ sK5 @ sK8 ) )
    = $true ),
    inference(trivial_inequality_removal,[],[f53]) ).

thf(f53,plain,
    ( ( $true != $true )
    | ( ( sK5 @ ( sK4 @ sK5 @ sK8 ) )
      = $true ) ),
    inference(superposition,[],[f22,f52]) ).

thf(f22,plain,
    ! [X0: a > a > $o,X1: ( a > a > $o ) > $o] :
      ( ( $true
       != ( sP0 @ X1 @ X0 ) )
      | ( ( X1 @ ( sK4 @ X1 @ X0 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f16]) ).

thf(f317,plain,
    ! [X2: a,X0: a > a > $o,X1: a] :
      ( ( $true
        = ( X0 @ X1 @ X2 ) )
      | ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( ( sK5 @ ( sK4 @ sK5 @ sK8 ) )
       != $true )
      | ( $false
        = ( X0 @ ( sK16 @ X0 ) @ ( sK14 @ X0 ) ) )
      | ( $true
        = ( sK8 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f313]) ).

thf(f313,plain,
    ! [X2: a,X0: a > a > $o,X1: a] :
      ( ( $true
        = ( X0 @ X1 @ X2 ) )
      | ( $true
        = ( sK8 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) )
      | ( ( sK5 @ ( sK4 @ sK5 @ sK8 ) )
       != $true )
      | ( $false
        = ( X0 @ ( sK16 @ X0 ) @ ( sK14 @ X0 ) ) )
      | ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( $true != $true ) ),
    inference(superposition,[],[f29,f106]) ).

thf(f106,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( ( sK4 @ sK5 @ sK8 @ ( sK17 @ X3 ) @ ( sK13 @ X3 ) )
        = $true )
      | ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( $false
        = ( X3 @ ( sK16 @ X3 ) @ ( sK14 @ X3 ) ) )
      | ( ( X3 @ X1 @ X2 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f97]) ).

thf(f29,plain,
    ! [X8: a,X9: a > a > $o,X7: a] :
      ( ( $true
       != ( X9 @ X8 @ X7 ) )
      | ( ( sK5 @ X9 )
       != $true )
      | ( ( sK8 @ X8 @ X7 )
        = $true ) ),
    inference(cnf_transformation,[],[f21]) ).

thf(f834,plain,
    ( $true
    = ( sK8 @ ( sK16 @ sK8 ) @ ( sK14 @ sK8 ) ) ),
    inference(trivial_inequality_removal,[],[f830]) ).

thf(f830,plain,
    ( ( $true
      = ( sK8 @ ( sK16 @ sK8 ) @ ( sK14 @ sK8 ) ) )
    | ( $true != $true ) ),
    inference(superposition,[],[f725,f826]) ).

thf(f826,plain,
    ( ( sK8 @ ( sK15 @ sK8 ) @ ( sK14 @ sK8 ) )
    = $true ),
    inference(trivial_inequality_removal,[],[f825]) ).

thf(f825,plain,
    ( ( ( sK8 @ ( sK15 @ sK8 ) @ ( sK14 @ sK8 ) )
      = $true )
    | ( $false = $true ) ),
    inference(duplicate_literal_removal,[],[f822]) ).

thf(f822,plain,
    ( ( ( sK8 @ ( sK15 @ sK8 ) @ ( sK14 @ sK8 ) )
      = $true )
    | ( ( sK8 @ ( sK15 @ sK8 ) @ ( sK14 @ sK8 ) )
      = $true )
    | ( $false = $true ) ),
    inference(superposition,[],[f409,f820]) ).

thf(f820,plain,
    ( ( $true
      = ( sK8 @ ( sK17 @ sK8 ) @ ( sK13 @ sK8 ) ) )
    | ( ( sK8 @ ( sK15 @ sK8 ) @ ( sK14 @ sK8 ) )
      = $true ) ),
    inference(subsumption_resolution,[],[f796,f52]) ).

thf(f796,plain,
    ( ( ( sP0 @ sK5 @ sK8 )
     != $true )
    | ( ( sK8 @ ( sK15 @ sK8 ) @ ( sK14 @ sK8 ) )
      = $true )
    | ( $true
      = ( sK8 @ ( sK17 @ sK8 ) @ ( sK13 @ sK8 ) ) ) ),
    inference(trivial_inequality_removal,[],[f787]) ).

thf(f787,plain,
    ( ( $true != $true )
    | ( ( sK8 @ ( sK15 @ sK8 ) @ ( sK14 @ sK8 ) )
      = $true )
    | ( ( sP0 @ sK5 @ sK8 )
     != $true )
    | ( $true
      = ( sK8 @ ( sK17 @ sK8 ) @ ( sK13 @ sK8 ) ) ) ),
    inference(superposition,[],[f25,f576]) ).

thf(f576,plain,
    ! [X0: a > a > $o] :
      ( ( $true
        = ( X0 @ ( sK1 @ sK5 @ sK8 ) @ ( sK2 @ sK5 @ sK8 ) ) )
      | ( $true
        = ( sK8 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) )
      | ( ( X0 @ ( sK15 @ X0 ) @ ( sK14 @ X0 ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f561]) ).

thf(f561,plain,
    ! [X0: a > a > $o] :
      ( ( $true
        = ( X0 @ ( sK1 @ sK5 @ sK8 ) @ ( sK2 @ sK5 @ sK8 ) ) )
      | ( $true
        = ( sK8 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) )
      | ( $false = $true )
      | ( ( X0 @ ( sK15 @ X0 ) @ ( sK14 @ X0 ) )
        = $true ) ),
    inference(superposition,[],[f69,f491]) ).

thf(f491,plain,
    ! [X2: a,X0: a > a > $o,X1: a] :
      ( ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( $true
        = ( sK8 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) )
      | ( $true
        = ( X0 @ X1 @ X2 ) )
      | ( ( X0 @ ( sK15 @ X0 ) @ ( sK14 @ X0 ) )
        = $true ) ),
    inference(subsumption_resolution,[],[f490,f54]) ).

thf(f490,plain,
    ! [X2: a,X0: a > a > $o,X1: a] :
      ( ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( $true
        = ( sK8 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) )
      | ( ( sK5 @ ( sK4 @ sK5 @ sK8 ) )
       != $true )
      | ( ( X0 @ ( sK15 @ X0 ) @ ( sK14 @ X0 ) )
        = $true )
      | ( $true
        = ( X0 @ X1 @ X2 ) ) ),
    inference(trivial_inequality_removal,[],[f485]) ).

thf(f485,plain,
    ! [X2: a,X0: a > a > $o,X1: a] :
      ( ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( ( X0 @ ( sK15 @ X0 ) @ ( sK14 @ X0 ) )
        = $true )
      | ( $true != $true )
      | ( $true
        = ( sK8 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) )
      | ( ( sK5 @ ( sK4 @ sK5 @ sK8 ) )
       != $true )
      | ( $true
        = ( X0 @ X1 @ X2 ) ) ),
    inference(superposition,[],[f29,f102]) ).

thf(f102,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( ( sK4 @ sK5 @ sK8 @ ( sK17 @ X3 ) @ ( sK13 @ X3 ) )
        = $true )
      | ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( ( X3 @ X1 @ X2 )
        = $true )
      | ( ( X3 @ ( sK15 @ X3 ) @ ( sK14 @ X3 ) )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f100]) ).

thf(f100,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( ( ( X3 @ ( sK15 @ X3 ) @ ( sK14 @ X3 ) )
          & ( X3 @ ( sK16 @ X3 ) @ ( sK15 @ X3 ) ) )
        = $true )
      | ( ( X3 @ X1 @ X2 )
        = $true )
      | ( ( sK4 @ sK5 @ sK8 @ ( sK17 @ X3 ) @ ( sK13 @ X3 ) )
        = $true )
      | ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) ) ),
    inference(binary_proxy_clausification,[],[f98]) ).

thf(f98,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( $false
        = ( ( sK4 @ sK5 @ sK8 @ ( sK17 @ X3 ) @ ( sK13 @ X3 ) )
         => ( X3 @ ( sK17 @ X3 ) @ ( sK13 @ X3 ) ) ) )
      | ( ( ( X3 @ ( sK15 @ X3 ) @ ( sK14 @ X3 ) )
          & ( X3 @ ( sK16 @ X3 ) @ ( sK15 @ X3 ) ) )
        = $true )
      | ( ( X3 @ X1 @ X2 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f96]) ).

thf(f409,plain,
    ( ( $false
      = ( sK8 @ ( sK17 @ sK8 ) @ ( sK13 @ sK8 ) ) )
    | ( ( sK8 @ ( sK15 @ sK8 ) @ ( sK14 @ sK8 ) )
      = $true ) ),
    inference(subsumption_resolution,[],[f403,f52]) ).

thf(f403,plain,
    ( ( ( sP0 @ sK5 @ sK8 )
     != $true )
    | ( ( sK8 @ ( sK15 @ sK8 ) @ ( sK14 @ sK8 ) )
      = $true )
    | ( $false
      = ( sK8 @ ( sK17 @ sK8 ) @ ( sK13 @ sK8 ) ) ) ),
    inference(trivial_inequality_removal,[],[f386]) ).

thf(f386,plain,
    ( ( $false
      = ( sK8 @ ( sK17 @ sK8 ) @ ( sK13 @ sK8 ) ) )
    | ( ( sP0 @ sK5 @ sK8 )
     != $true )
    | ( ( sK8 @ ( sK15 @ sK8 ) @ ( sK14 @ sK8 ) )
      = $true )
    | ( $true != $true ) ),
    inference(superposition,[],[f25,f210]) ).

thf(f210,plain,
    ! [X0: a > a > $o] :
      ( ( $true
        = ( X0 @ ( sK1 @ sK5 @ sK8 ) @ ( sK2 @ sK5 @ sK8 ) ) )
      | ( ( X0 @ ( sK15 @ X0 ) @ ( sK14 @ X0 ) )
        = $true )
      | ( $false
        = ( X0 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f195]) ).

thf(f195,plain,
    ! [X0: a > a > $o] :
      ( ( $false
        = ( X0 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) )
      | ( $true
        = ( X0 @ ( sK1 @ sK5 @ sK8 ) @ ( sK2 @ sK5 @ sK8 ) ) )
      | ( $false = $true )
      | ( ( X0 @ ( sK15 @ X0 ) @ ( sK14 @ X0 ) )
        = $true ) ),
    inference(superposition,[],[f104,f69]) ).

thf(f104,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( ( X3 @ ( sK15 @ X3 ) @ ( sK14 @ X3 ) )
        = $true )
      | ( $false
        = ( X3 @ ( sK17 @ X3 ) @ ( sK13 @ X3 ) ) )
      | ( ( X3 @ X1 @ X2 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f99]) ).

thf(f99,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( ( X3 @ X1 @ X2 )
        = $true )
      | ( $false
        = ( X3 @ ( sK17 @ X3 ) @ ( sK13 @ X3 ) ) )
      | ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( ( ( X3 @ ( sK15 @ X3 ) @ ( sK14 @ X3 ) )
          & ( X3 @ ( sK16 @ X3 ) @ ( sK15 @ X3 ) ) )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f98]) ).

thf(f725,plain,
    ! [X0: a] :
      ( ( ( sK8 @ ( sK15 @ sK8 ) @ X0 )
       != $true )
      | ( ( sK8 @ ( sK16 @ sK8 ) @ X0 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f723]) ).

thf(f723,plain,
    ! [X0: a] :
      ( ( ( sK8 @ ( sK16 @ sK8 ) @ X0 )
        = $true )
      | ( $true != $true )
      | ( ( sK8 @ ( sK15 @ sK8 ) @ X0 )
       != $true ) ),
    inference(superposition,[],[f31,f718]) ).

thf(f718,plain,
    ( ( sK8 @ ( sK16 @ sK8 ) @ ( sK15 @ sK8 ) )
    = $true ),
    inference(trivial_inequality_removal,[],[f717]) ).

thf(f717,plain,
    ( ( $false = $true )
    | ( ( sK8 @ ( sK16 @ sK8 ) @ ( sK15 @ sK8 ) )
      = $true ) ),
    inference(duplicate_literal_removal,[],[f711]) ).

thf(f711,plain,
    ( ( ( sK8 @ ( sK16 @ sK8 ) @ ( sK15 @ sK8 ) )
      = $true )
    | ( ( sK8 @ ( sK16 @ sK8 ) @ ( sK15 @ sK8 ) )
      = $true )
    | ( $false = $true ) ),
    inference(superposition,[],[f709,f310]) ).

thf(f310,plain,
    ( ( $false
      = ( sK8 @ ( sK17 @ sK8 ) @ ( sK13 @ sK8 ) ) )
    | ( ( sK8 @ ( sK16 @ sK8 ) @ ( sK15 @ sK8 ) )
      = $true ) ),
    inference(subsumption_resolution,[],[f293,f52]) ).

thf(f293,plain,
    ( ( $false
      = ( sK8 @ ( sK17 @ sK8 ) @ ( sK13 @ sK8 ) ) )
    | ( ( sK8 @ ( sK16 @ sK8 ) @ ( sK15 @ sK8 ) )
      = $true )
    | ( ( sP0 @ sK5 @ sK8 )
     != $true ) ),
    inference(trivial_inequality_removal,[],[f291]) ).

thf(f291,plain,
    ( ( $false
      = ( sK8 @ ( sK17 @ sK8 ) @ ( sK13 @ sK8 ) ) )
    | ( $true != $true )
    | ( ( sK8 @ ( sK16 @ sK8 ) @ ( sK15 @ sK8 ) )
      = $true )
    | ( ( sP0 @ sK5 @ sK8 )
     != $true ) ),
    inference(superposition,[],[f25,f174]) ).

thf(f174,plain,
    ! [X0: a > a > $o] :
      ( ( $true
        = ( X0 @ ( sK1 @ sK5 @ sK8 ) @ ( sK2 @ sK5 @ sK8 ) ) )
      | ( $true
        = ( X0 @ ( sK16 @ X0 ) @ ( sK15 @ X0 ) ) )
      | ( $false
        = ( X0 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f162]) ).

thf(f162,plain,
    ! [X0: a > a > $o] :
      ( ( $true
        = ( X0 @ ( sK16 @ X0 ) @ ( sK15 @ X0 ) ) )
      | ( $false = $true )
      | ( $false
        = ( X0 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) )
      | ( $true
        = ( X0 @ ( sK1 @ sK5 @ sK8 ) @ ( sK2 @ sK5 @ sK8 ) ) ) ),
    inference(superposition,[],[f69,f103]) ).

thf(f103,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( ( X3 @ ( sK16 @ X3 ) @ ( sK15 @ X3 ) )
        = $true )
      | ( $false
        = ( X3 @ ( sK17 @ X3 ) @ ( sK13 @ X3 ) ) )
      | ( ( X3 @ X1 @ X2 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f99]) ).

thf(f709,plain,
    ( ( $true
      = ( sK8 @ ( sK17 @ sK8 ) @ ( sK13 @ sK8 ) ) )
    | ( ( sK8 @ ( sK16 @ sK8 ) @ ( sK15 @ sK8 ) )
      = $true ) ),
    inference(subsumption_resolution,[],[f685,f52]) ).

thf(f685,plain,
    ( ( ( sK8 @ ( sK16 @ sK8 ) @ ( sK15 @ sK8 ) )
      = $true )
    | ( ( sP0 @ sK5 @ sK8 )
     != $true )
    | ( $true
      = ( sK8 @ ( sK17 @ sK8 ) @ ( sK13 @ sK8 ) ) ) ),
    inference(trivial_inequality_removal,[],[f676]) ).

thf(f676,plain,
    ( ( $true
      = ( sK8 @ ( sK17 @ sK8 ) @ ( sK13 @ sK8 ) ) )
    | ( ( sP0 @ sK5 @ sK8 )
     != $true )
    | ( ( sK8 @ ( sK16 @ sK8 ) @ ( sK15 @ sK8 ) )
      = $true )
    | ( $true != $true ) ),
    inference(superposition,[],[f25,f522]) ).

thf(f522,plain,
    ! [X0: a > a > $o] :
      ( ( $true
        = ( X0 @ ( sK1 @ sK5 @ sK8 ) @ ( sK2 @ sK5 @ sK8 ) ) )
      | ( $true
        = ( X0 @ ( sK16 @ X0 ) @ ( sK15 @ X0 ) ) )
      | ( $true
        = ( sK8 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f492]) ).

thf(f492,plain,
    ! [X0: a > a > $o] :
      ( ( $true
        = ( X0 @ ( sK1 @ sK5 @ sK8 ) @ ( sK2 @ sK5 @ sK8 ) ) )
      | ( $false = $true )
      | ( $true
        = ( sK8 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) )
      | ( $true
        = ( X0 @ ( sK16 @ X0 ) @ ( sK15 @ X0 ) ) ) ),
    inference(superposition,[],[f482,f69]) ).

thf(f482,plain,
    ! [X2: a,X0: a > a > $o,X1: a] :
      ( ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( $true
        = ( sK8 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) )
      | ( $true
        = ( X0 @ ( sK16 @ X0 ) @ ( sK15 @ X0 ) ) )
      | ( $true
        = ( X0 @ X1 @ X2 ) ) ),
    inference(subsumption_resolution,[],[f481,f54]) ).

thf(f481,plain,
    ! [X2: a,X0: a > a > $o,X1: a] :
      ( ( $true
        = ( X0 @ X1 @ X2 ) )
      | ( $true
        = ( X0 @ ( sK16 @ X0 ) @ ( sK15 @ X0 ) ) )
      | ( $true
        = ( sK8 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) )
      | ( ( sK5 @ ( sK4 @ sK5 @ sK8 ) )
       != $true )
      | ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) ) ),
    inference(trivial_inequality_removal,[],[f476]) ).

thf(f476,plain,
    ! [X2: a,X0: a > a > $o,X1: a] :
      ( ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( $true != $true )
      | ( $true
        = ( X0 @ ( sK16 @ X0 ) @ ( sK15 @ X0 ) ) )
      | ( $true
        = ( sK8 @ ( sK17 @ X0 ) @ ( sK13 @ X0 ) ) )
      | ( $true
        = ( X0 @ X1 @ X2 ) )
      | ( ( sK5 @ ( sK4 @ sK5 @ sK8 ) )
       != $true ) ),
    inference(superposition,[],[f29,f101]) ).

thf(f101,plain,
    ! [X2: a,X3: a > a > $o,X1: a] :
      ( ( ( sK4 @ sK5 @ sK8 @ ( sK17 @ X3 ) @ ( sK13 @ X3 ) )
        = $true )
      | ( $false
        = ( sK3 @ sK5 @ sK8 @ X1 @ X2 ) )
      | ( ( X3 @ ( sK16 @ X3 ) @ ( sK15 @ X3 ) )
        = $true )
      | ( ( X3 @ X1 @ X2 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SEV128^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 18:51:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a TH0_THM_EQU_NAR problem
% 0.13/0.35  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % (21708)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.36  % (21703)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.13/0.36  % (21701)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.36  % (21704)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.36  % (21705)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.36  % (21708)Instruction limit reached!
% 0.13/0.36  % (21708)------------------------------
% 0.13/0.36  % (21708)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36  % (21708)Termination reason: Unknown
% 0.13/0.36  % (21708)Termination phase: Preprocessing 3
% 0.13/0.36  
% 0.13/0.36  % (21708)Memory used [KB]: 1023
% 0.13/0.36  % (21708)Time elapsed: 0.003 s
% 0.13/0.36  % (21708)Instructions burned: 3 (million)
% 0.13/0.36  % (21708)------------------------------
% 0.13/0.36  % (21708)------------------------------
% 0.13/0.36  % (21706)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.13/0.36  % (21704)Instruction limit reached!
% 0.13/0.36  % (21704)------------------------------
% 0.13/0.36  % (21704)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36  % (21705)Instruction limit reached!
% 0.13/0.36  % (21705)------------------------------
% 0.13/0.36  % (21705)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36  % (21704)Termination reason: Unknown
% 0.13/0.36  % (21704)Termination phase: Preprocessing 1
% 0.13/0.36  
% 0.13/0.36  % (21704)Memory used [KB]: 1023
% 0.13/0.36  % (21704)Time elapsed: 0.003 s
% 0.13/0.36  % (21704)Instructions burned: 2 (million)
% 0.13/0.36  % (21704)------------------------------
% 0.13/0.36  % (21704)------------------------------
% 0.13/0.36  % (21705)Termination reason: Unknown
% 0.13/0.36  % (21705)Termination phase: shuffling
% 0.13/0.36  
% 0.13/0.36  % (21705)Memory used [KB]: 1023
% 0.13/0.36  % (21705)Time elapsed: 0.003 s
% 0.13/0.36  % (21705)Instructions burned: 2 (million)
% 0.13/0.36  % (21705)------------------------------
% 0.13/0.36  % (21705)------------------------------
% 0.13/0.37  % (21702)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.38  % (21702)Instruction limit reached!
% 0.13/0.38  % (21702)------------------------------
% 0.13/0.38  % (21702)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (21702)Termination reason: Unknown
% 0.13/0.38  % (21702)Termination phase: Property scanning
% 0.13/0.38  
% 0.13/0.38  % (21702)Memory used [KB]: 1023
% 0.13/0.38  % (21702)Time elapsed: 0.005 s
% 0.13/0.38  % (21702)Instructions burned: 4 (million)
% 0.13/0.38  % (21702)------------------------------
% 0.13/0.38  % (21702)------------------------------
% 0.13/0.38  % (21707)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.38  % (21709)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.38  % (21710)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.38  % (21711)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.38  % (21711)Instruction limit reached!
% 0.19/0.38  % (21711)------------------------------
% 0.19/0.38  % (21711)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.38  % (21711)Termination reason: Unknown
% 0.19/0.38  % (21711)Termination phase: Preprocessing 3
% 0.19/0.38  
% 0.19/0.38  % (21711)Memory used [KB]: 1023
% 0.19/0.38  % (21711)Time elapsed: 0.004 s
% 0.19/0.38  % (21711)Instructions burned: 3 (million)
% 0.19/0.38  % (21711)------------------------------
% 0.19/0.38  % (21711)------------------------------
% 0.19/0.38  % (21703)Instruction limit reached!
% 0.19/0.38  % (21703)------------------------------
% 0.19/0.38  % (21703)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.38  % (21703)Termination reason: Unknown
% 0.19/0.38  % (21703)Termination phase: Saturation
% 0.19/0.38  
% 0.19/0.38  % (21703)Memory used [KB]: 5756
% 0.19/0.38  % (21703)Time elapsed: 0.020 s
% 0.19/0.38  % (21703)Instructions burned: 27 (million)
% 0.19/0.38  % (21703)------------------------------
% 0.19/0.38  % (21703)------------------------------
% 0.19/0.39  % (21707)Instruction limit reached!
% 0.19/0.39  % (21707)------------------------------
% 0.19/0.39  % (21707)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39  % (21707)Termination reason: Unknown
% 0.19/0.39  % (21707)Termination phase: Saturation
% 0.19/0.39  
% 0.19/0.39  % (21707)Memory used [KB]: 5628
% 0.19/0.39  % (21707)Time elapsed: 0.013 s
% 0.19/0.39  % (21707)Instructions burned: 18 (million)
% 0.19/0.39  % (21707)------------------------------
% 0.19/0.39  % (21707)------------------------------
% 0.19/0.39  % (21710)Instruction limit reached!
% 0.19/0.39  % (21710)------------------------------
% 0.19/0.39  % (21710)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39  % (21710)Termination reason: Unknown
% 0.19/0.39  % (21710)Termination phase: Saturation
% 0.19/0.39  
% 0.19/0.39  % (21710)Memory used [KB]: 5628
% 0.19/0.39  % (21710)Time elapsed: 0.012 s
% 0.19/0.39  % (21710)Instructions burned: 15 (million)
% 0.19/0.39  % (21710)------------------------------
% 0.19/0.39  % (21710)------------------------------
% 0.19/0.39  % (21709)Instruction limit reached!
% 0.19/0.39  % (21709)------------------------------
% 0.19/0.39  % (21709)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39  % (21709)Termination reason: Unknown
% 0.19/0.39  % (21709)Termination phase: Saturation
% 0.19/0.39  
% 0.19/0.39  % (21709)Memory used [KB]: 5756
% 0.19/0.39  % (21709)Time elapsed: 0.018 s
% 0.19/0.39  % (21709)Instructions burned: 38 (million)
% 0.19/0.39  % (21709)------------------------------
% 0.19/0.39  % (21709)------------------------------
% 0.19/0.40  % (21714)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.40  % (21712)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.19/0.40  % (21715)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.40  % (21716)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.41  % (21715)Instruction limit reached!
% 0.19/0.41  % (21715)------------------------------
% 0.19/0.41  % (21715)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41  % (21715)Termination reason: Unknown
% 0.19/0.41  % (21715)Termination phase: Twee Goal Transformation
% 0.19/0.41  
% 0.19/0.41  % (21715)Memory used [KB]: 1023
% 0.19/0.41  % (21715)Time elapsed: 0.004 s
% 0.19/0.41  % (21715)Instructions burned: 4 (million)
% 0.19/0.41  % (21715)------------------------------
% 0.19/0.41  % (21715)------------------------------
% 0.19/0.41  % (21716)Instruction limit reached!
% 0.19/0.41  % (21716)------------------------------
% 0.19/0.41  % (21716)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41  % (21716)Termination reason: Unknown
% 0.19/0.41  % (21716)Termination phase: Property scanning
% 0.19/0.41  
% 0.19/0.41  % (21716)Memory used [KB]: 1023
% 0.19/0.41  % (21716)Time elapsed: 0.004 s
% 0.19/0.41  % (21716)Instructions burned: 4 (million)
% 0.19/0.41  % (21716)------------------------------
% 0.19/0.41  % (21716)------------------------------
% 0.19/0.41  % (21714)Instruction limit reached!
% 0.19/0.41  % (21714)------------------------------
% 0.19/0.41  % (21714)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41  % (21714)Termination reason: Unknown
% 0.19/0.41  % (21714)Termination phase: Saturation
% 0.19/0.41  
% 0.19/0.41  % (21714)Memory used [KB]: 5628
% 0.19/0.41  % (21714)Time elapsed: 0.012 s
% 0.19/0.41  % (21714)Instructions burned: 16 (million)
% 0.19/0.41  % (21714)------------------------------
% 0.19/0.41  % (21714)------------------------------
% 0.19/0.41  % (21717)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.41  % (21717)Instruction limit reached!
% 0.19/0.41  % (21717)------------------------------
% 0.19/0.41  % (21717)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41  % (21717)Termination reason: Unknown
% 0.19/0.41  % (21717)Termination phase: Saturation
% 0.19/0.41  
% 0.19/0.41  % (21717)Memory used [KB]: 5500
% 0.19/0.41  % (21717)Time elapsed: 0.006 s
% 0.19/0.41  % (21717)Instructions burned: 8 (million)
% 0.19/0.41  % (21717)------------------------------
% 0.19/0.41  % (21717)------------------------------
% 0.19/0.42  % (21718)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.42  % (21720)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.19/0.42  % (21719)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.42  % (21713)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.42  % (21718)Instruction limit reached!
% 0.19/0.42  % (21718)------------------------------
% 0.19/0.42  % (21718)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42  % (21718)Termination reason: Unknown
% 0.19/0.42  % (21718)Termination phase: Property scanning
% 0.19/0.42  
% 0.19/0.42  % (21718)Memory used [KB]: 1023
% 0.19/0.42  % (21718)Time elapsed: 0.003 s
% 0.19/0.42  % (21718)Instructions burned: 3 (million)
% 0.19/0.42  % (21718)------------------------------
% 0.19/0.42  % (21718)------------------------------
% 0.19/0.42  % (21719)Instruction limit reached!
% 0.19/0.42  % (21719)------------------------------
% 0.19/0.42  % (21719)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42  % (21719)Termination reason: Unknown
% 0.19/0.42  % (21719)Termination phase: Saturation
% 0.19/0.42  
% 0.19/0.42  % (21719)Memory used [KB]: 1023
% 0.19/0.42  % (21719)Time elapsed: 0.004 s
% 0.19/0.42  % (21719)Instructions burned: 4 (million)
% 0.19/0.42  % (21719)------------------------------
% 0.19/0.42  % (21719)------------------------------
% 0.19/0.43  % (21721)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.19/0.43  % (21713)Instruction limit reached!
% 0.19/0.43  % (21713)------------------------------
% 0.19/0.43  % (21713)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43  % (21713)Termination reason: Unknown
% 0.19/0.43  % (21713)Termination phase: Saturation
% 0.19/0.43  
% 0.19/0.43  % (21713)Memory used [KB]: 1023
% 0.19/0.43  % (21713)Time elapsed: 0.041 s
% 0.19/0.43  % (21713)Instructions burned: 8 (million)
% 0.19/0.43  % (21713)------------------------------
% 0.19/0.43  % (21713)------------------------------
% 0.19/0.43  % (21720)Instruction limit reached!
% 0.19/0.43  % (21720)------------------------------
% 0.19/0.43  % (21720)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43  % (21720)Termination reason: Unknown
% 0.19/0.43  % (21720)Termination phase: Saturation
% 0.19/0.43  
% 0.19/0.43  % (21720)Memory used [KB]: 5628
% 0.19/0.43  % (21720)Time elapsed: 0.035 s
% 0.19/0.43  % (21720)Instructions burned: 19 (million)
% 0.19/0.43  % (21720)------------------------------
% 0.19/0.43  % (21720)------------------------------
% 0.19/0.44  % (21722)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.44  % (21723)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.19/0.44  % (21722)Instruction limit reached!
% 0.19/0.44  % (21722)------------------------------
% 0.19/0.44  % (21722)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44  % (21722)Termination reason: Unknown
% 0.19/0.44  % (21722)Termination phase: Saturation
% 0.19/0.44  
% 0.19/0.44  % (21722)Memory used [KB]: 5500
% 0.19/0.44  % (21722)Time elapsed: 0.006 s
% 0.19/0.44  % (21722)Instructions burned: 7 (million)
% 0.19/0.44  % (21722)------------------------------
% 0.19/0.44  % (21722)------------------------------
% 0.19/0.44  % (21724)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.19/0.44  % (21725)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.45  % (21725)Instruction limit reached!
% 0.19/0.45  % (21725)------------------------------
% 0.19/0.45  % (21725)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45  % (21725)Termination reason: Unknown
% 0.19/0.45  % (21725)Termination phase: Saturation
% 0.19/0.45  
% 0.19/0.45  % (21725)Memory used [KB]: 5500
% 0.19/0.45  % (21725)Time elapsed: 0.003 s
% 0.19/0.45  % (21725)Instructions burned: 6 (million)
% 0.19/0.45  % (21725)------------------------------
% 0.19/0.45  % (21725)------------------------------
% 0.19/0.45  % (21724)Instruction limit reached!
% 0.19/0.45  % (21724)------------------------------
% 0.19/0.45  % (21724)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45  % (21724)Termination reason: Unknown
% 0.19/0.45  % (21724)Termination phase: Saturation
% 0.19/0.45  
% 0.19/0.45  % (21724)Memory used [KB]: 5756
% 0.19/0.45  % (21724)Time elapsed: 0.015 s
% 0.19/0.45  % (21724)Instructions burned: 23 (million)
% 0.19/0.45  % (21724)------------------------------
% 0.19/0.45  % (21724)------------------------------
% 0.19/0.45  % (21726)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.45  % (21727)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.19/0.46  % (21726)Instruction limit reached!
% 0.19/0.46  % (21726)------------------------------
% 0.19/0.46  % (21726)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.46  % (21726)Termination reason: Unknown
% 0.19/0.46  % (21726)Termination phase: Saturation
% 0.19/0.46  
% 0.19/0.46  % (21726)Memory used [KB]: 5500
% 0.19/0.46  % (21726)Time elapsed: 0.005 s
% 0.19/0.46  % (21726)Instructions burned: 7 (million)
% 0.19/0.46  % (21726)------------------------------
% 0.19/0.46  % (21726)------------------------------
% 0.19/0.46  % (21728)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.19/0.47  % (21701)Instruction limit reached!
% 0.19/0.47  % (21701)------------------------------
% 0.19/0.47  % (21701)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.47  % (21701)Termination reason: Unknown
% 0.19/0.47  % (21701)Termination phase: Saturation
% 0.19/0.47  
% 0.19/0.47  % (21701)Memory used [KB]: 6652
% 0.19/0.47  % (21701)Time elapsed: 0.107 s
% 0.19/0.47  % (21701)Instructions burned: 184 (million)
% 0.19/0.47  % (21701)------------------------------
% 0.19/0.47  % (21701)------------------------------
% 0.19/0.48  % (21729)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.19/0.48  % (21729)Instruction limit reached!
% 0.19/0.48  % (21729)------------------------------
% 0.19/0.48  % (21729)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.48  % (21729)Termination reason: Unknown
% 0.19/0.48  % (21729)Termination phase: Saturation
% 0.19/0.48  
% 0.19/0.48  % (21729)Memory used [KB]: 5500
% 0.19/0.48  % (21729)Time elapsed: 0.009 s
% 0.19/0.48  % (21729)Instructions burned: 21 (million)
% 0.19/0.48  % (21729)------------------------------
% 0.19/0.48  % (21729)------------------------------
% 0.19/0.49  % (21730)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.19/0.49  % (21731)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.19/0.50  % (21731)Instruction limit reached!
% 0.19/0.50  % (21731)------------------------------
% 0.19/0.50  % (21731)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.50  % (21731)Termination reason: Unknown
% 0.19/0.50  % (21731)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (21731)Memory used [KB]: 5628
% 0.19/0.50  % (21731)Time elapsed: 0.009 s
% 0.19/0.50  % (21731)Instructions burned: 17 (million)
% 0.19/0.50  % (21731)------------------------------
% 0.19/0.50  % (21731)------------------------------
% 0.19/0.50  % (21706)Instruction limit reached!
% 0.19/0.50  % (21706)------------------------------
% 0.19/0.50  % (21706)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.50  % (21706)Termination reason: Unknown
% 0.19/0.50  % (21706)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (21706)Memory used [KB]: 6268
% 0.19/0.50  % (21706)Time elapsed: 0.142 s
% 0.19/0.50  % (21706)Instructions burned: 275 (million)
% 0.19/0.50  % (21706)------------------------------
% 0.19/0.50  % (21706)------------------------------
% 0.19/0.52  % (21732)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.19/0.52  % (21732)Instruction limit reached!
% 0.19/0.52  % (21732)------------------------------
% 0.19/0.52  % (21732)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.52  % (21732)Termination reason: Unknown
% 0.19/0.52  % (21732)Termination phase: Naming
% 0.19/0.52  
% 0.19/0.52  % (21732)Memory used [KB]: 1023
% 0.19/0.52  % (21732)Time elapsed: 0.003 s
% 0.19/0.52  % (21732)Instructions burned: 3 (million)
% 0.19/0.52  % (21732)------------------------------
% 0.19/0.52  % (21732)------------------------------
% 1.43/0.52  % (21733)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.43/0.53  % (21734)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 1.43/0.54  % (21733)Instruction limit reached!
% 1.43/0.54  % (21733)------------------------------
% 1.43/0.54  % (21733)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.43/0.54  % (21733)Termination reason: Unknown
% 1.43/0.54  % (21733)Termination phase: Saturation
% 1.43/0.54  
% 1.43/0.54  % (21733)Memory used [KB]: 5756
% 1.43/0.54  % (21733)Time elapsed: 0.013 s
% 1.43/0.54  % (21733)Instructions burned: 30 (million)
% 1.43/0.54  % (21733)------------------------------
% 1.43/0.54  % (21733)------------------------------
% 1.55/0.54  % (21735)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.55/0.57  % (21727)Instruction limit reached!
% 1.55/0.57  % (21727)------------------------------
% 1.55/0.57  % (21727)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.55/0.57  % (21727)Termination reason: Unknown
% 1.55/0.57  % (21727)Termination phase: Saturation
% 1.55/0.57  
% 1.55/0.57  % (21727)Memory used [KB]: 6396
% 1.55/0.57  % (21727)Time elapsed: 0.115 s
% 1.55/0.57  % (21727)Instructions burned: 377 (million)
% 1.55/0.57  % (21727)------------------------------
% 1.55/0.57  % (21727)------------------------------
% 1.55/0.58  % (21736)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 theBenchmark for (2997ds/3Mi)
% 1.55/0.58  % (21736)Instruction limit reached!
% 1.55/0.58  % (21736)------------------------------
% 1.55/0.58  % (21736)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.55/0.58  % (21736)Termination reason: Unknown
% 1.55/0.58  % (21736)Termination phase: Saturation
% 1.55/0.58  
% 1.55/0.58  % (21736)Memory used [KB]: 5500
% 1.55/0.58  % (21736)Time elapsed: 0.004 s
% 1.55/0.58  % (21736)Instructions burned: 4 (million)
% 1.55/0.58  % (21736)------------------------------
% 1.55/0.58  % (21736)------------------------------
% 1.55/0.58  % (21735)Instruction limit reached!
% 1.55/0.58  % (21735)------------------------------
% 1.55/0.58  % (21735)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.55/0.58  % (21735)Termination reason: Unknown
% 1.55/0.58  % (21735)Termination phase: Saturation
% 1.55/0.58  
% 1.55/0.58  % (21735)Memory used [KB]: 5884
% 1.55/0.58  % (21735)Time elapsed: 0.036 s
% 1.55/0.58  % (21735)Instructions burned: 100 (million)
% 1.55/0.58  % (21735)------------------------------
% 1.55/0.58  % (21735)------------------------------
% 1.55/0.59  % (21738)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 theBenchmark for (2997ds/86Mi)
% 1.55/0.59  % (21737)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 theBenchmark for (2997ds/20Mi)
% 1.55/0.59  % (21734)Instruction limit reached!
% 1.55/0.59  % (21734)------------------------------
% 1.55/0.59  % (21734)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.55/0.59  % (21734)Termination reason: Unknown
% 1.55/0.59  % (21734)Termination phase: Saturation
% 1.55/0.59  
% 1.55/0.59  % (21734)Memory used [KB]: 6140
% 1.55/0.59  % (21734)Time elapsed: 0.059 s
% 1.55/0.59  % (21734)Instructions burned: 129 (million)
% 1.55/0.59  % (21734)------------------------------
% 1.55/0.59  % (21734)------------------------------
% 1.55/0.60  % (21737)Instruction limit reached!
% 1.55/0.60  % (21737)------------------------------
% 1.55/0.60  % (21737)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.55/0.60  % (21737)Termination reason: Unknown
% 1.55/0.60  % (21737)Termination phase: Saturation
% 1.55/0.60  
% 1.55/0.60  % (21737)Memory used [KB]: 5628
% 1.55/0.60  % (21737)Time elapsed: 0.008 s
% 1.55/0.60  % (21737)Instructions burned: 21 (million)
% 1.55/0.60  % (21737)------------------------------
% 1.55/0.60  % (21737)------------------------------
% 1.55/0.60  % (21739)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 theBenchmark for (2997ds/107Mi)
% 1.55/0.60  % (21740)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 theBenchmark for (2997ds/39Mi)
% 1.55/0.62  % (21740)Instruction limit reached!
% 1.55/0.62  % (21740)------------------------------
% 1.55/0.62  % (21740)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.55/0.62  % (21740)Termination reason: Unknown
% 1.55/0.62  % (21740)Termination phase: Saturation
% 1.55/0.62  
% 1.55/0.62  % (21740)Memory used [KB]: 5884
% 1.55/0.62  % (21740)Time elapsed: 0.019 s
% 1.55/0.62  % (21740)Instructions burned: 39 (million)
% 1.55/0.62  % (21740)------------------------------
% 1.55/0.62  % (21740)------------------------------
% 2.16/0.62  % (21738)Instruction limit reached!
% 2.16/0.62  % (21738)------------------------------
% 2.16/0.62  % (21738)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.62  % (21738)Termination reason: Unknown
% 2.16/0.62  % (21738)Termination phase: Saturation
% 2.16/0.62  
% 2.16/0.62  % (21738)Memory used [KB]: 6012
% 2.16/0.62  % (21738)Time elapsed: 0.037 s
% 2.16/0.62  % (21738)Instructions burned: 86 (million)
% 2.16/0.62  % (21738)------------------------------
% 2.16/0.62  % (21738)------------------------------
% 2.16/0.63  % (21741)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 theBenchmark for (2997ds/448Mi)
% 2.16/0.64  % (21742)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 theBenchmark for (2997ds/46Mi)
% 2.16/0.64  % (21739)Instruction limit reached!
% 2.16/0.64  % (21739)------------------------------
% 2.16/0.64  % (21739)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.64  % (21739)Termination reason: Unknown
% 2.16/0.64  % (21739)Termination phase: Saturation
% 2.16/0.64  
% 2.16/0.64  % (21739)Memory used [KB]: 6140
% 2.16/0.64  % (21739)Time elapsed: 0.045 s
% 2.16/0.64  % (21739)Instructions burned: 108 (million)
% 2.16/0.64  % (21739)------------------------------
% 2.16/0.64  % (21739)------------------------------
% 2.16/0.65  % (21721)Instruction limit reached!
% 2.16/0.65  % (21721)------------------------------
% 2.16/0.65  % (21721)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.65  % (21721)Termination reason: Unknown
% 2.16/0.65  % (21721)Termination phase: Saturation
% 2.16/0.65  
% 2.16/0.65  % (21721)Memory used [KB]: 7291
% 2.16/0.65  % (21721)Time elapsed: 0.247 s
% 2.16/0.65  % (21721)Instructions burned: 713 (million)
% 2.16/0.65  % (21721)------------------------------
% 2.16/0.65  % (21721)------------------------------
% 2.16/0.65  % (21744)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 theBenchmark for (2997ds/507Mi)
% 2.16/0.65  % (21742)Instruction limit reached!
% 2.16/0.65  % (21742)------------------------------
% 2.16/0.65  % (21742)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.16/0.65  % (21742)Termination reason: Unknown
% 2.16/0.65  % (21742)Termination phase: Saturation
% 2.16/0.66  
% 2.16/0.66  % (21742)Memory used [KB]: 5756
% 2.16/0.66  % (21742)Time elapsed: 0.040 s
% 2.16/0.66  % (21742)Instructions burned: 46 (million)
% 2.16/0.66  % (21742)------------------------------
% 2.16/0.66  % (21742)------------------------------
% 2.16/0.66  % (21743)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 theBenchmark for (2997ds/98Mi)
% 2.16/0.66  % (21745)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 theBenchmark for (2997ds/149Mi)
% 2.53/0.69  % (21743)Instruction limit reached!
% 2.53/0.69  % (21743)------------------------------
% 2.53/0.69  % (21743)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.53/0.69  % (21743)Termination reason: Unknown
% 2.53/0.69  % (21743)Termination phase: Saturation
% 2.53/0.69  
% 2.53/0.69  % (21743)Memory used [KB]: 1151
% 2.53/0.69  % (21743)Time elapsed: 0.032 s
% 2.53/0.69  % (21743)Instructions burned: 98 (million)
% 2.53/0.69  % (21743)------------------------------
% 2.53/0.69  % (21743)------------------------------
% 2.53/0.70  % (21746)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 2.53/0.71  % (21728)Instruction limit reached!
% 2.53/0.71  % (21728)------------------------------
% 2.53/0.71  % (21728)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.53/0.71  % (21728)Termination reason: Unknown
% 2.53/0.71  % (21728)Termination phase: Saturation
% 2.53/0.71  
% 2.53/0.71  % (21728)Memory used [KB]: 6908
% 2.53/0.71  % (21728)Time elapsed: 0.248 s
% 2.53/0.71  % (21728)Instructions burned: 779 (million)
% 2.53/0.71  % (21728)------------------------------
% 2.53/0.71  % (21728)------------------------------
% 2.53/0.71  % (21746)Instruction limit reached!
% 2.53/0.71  % (21746)------------------------------
% 2.53/0.71  % (21746)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.53/0.71  % (21746)Termination reason: Unknown
% 2.53/0.71  % (21746)Termination phase: Saturation
% 2.53/0.71  
% 2.53/0.71  % (21746)Memory used [KB]: 5756
% 2.53/0.71  % (21746)Time elapsed: 0.016 s
% 2.53/0.71  % (21746)Instructions burned: 41 (million)
% 2.53/0.71  % (21746)------------------------------
% 2.53/0.71  % (21746)------------------------------
% 2.53/0.72  % (21745)Instruction limit reached!
% 2.53/0.72  % (21745)------------------------------
% 2.53/0.72  % (21745)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.53/0.72  % (21745)Termination reason: Unknown
% 2.53/0.72  % (21745)Termination phase: Saturation
% 2.53/0.72  
% 2.53/0.72  % (21745)Memory used [KB]: 6012
% 2.53/0.72  % (21745)Time elapsed: 0.053 s
% 2.53/0.72  % (21745)Instructions burned: 151 (million)
% 2.53/0.72  % (21745)------------------------------
% 2.53/0.72  % (21745)------------------------------
% 2.53/0.72  % (21747)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 theBenchmark for (2996ds/6Mi)
% 2.53/0.72  % (21748)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 theBenchmark for (2996ds/1087Mi)
% 2.53/0.72  % (21747)Instruction limit reached!
% 2.53/0.72  % (21747)------------------------------
% 2.53/0.72  % (21747)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.53/0.72  % (21747)Termination reason: Unknown
% 2.53/0.72  % (21747)Termination phase: Saturation
% 2.53/0.72  
% 2.53/0.72  % (21747)Memory used [KB]: 9978
% 2.53/0.72  % (21747)Time elapsed: 0.004 s
% 2.53/0.72  % (21747)Instructions burned: 8 (million)
% 2.53/0.72  % (21747)------------------------------
% 2.53/0.72  % (21747)------------------------------
% 2.53/0.72  % (21749)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.53/0.73  % (21750)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 theBenchmark for (2996ds/44Mi)
% 2.53/0.74  % (21749)Instruction limit reached!
% 2.53/0.74  % (21749)------------------------------
% 2.53/0.74  % (21749)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.53/0.74  % (21749)Termination reason: Unknown
% 2.53/0.74  % (21749)Termination phase: Saturation
% 2.53/0.74  
% 2.53/0.74  % (21749)Memory used [KB]: 5884
% 2.53/0.74  % (21749)Time elapsed: 0.018 s
% 2.53/0.74  % (21749)Instructions burned: 49 (million)
% 2.53/0.74  % (21749)------------------------------
% 2.53/0.74  % (21749)------------------------------
% 2.53/0.74  % (21750)Instruction limit reached!
% 2.53/0.74  % (21750)------------------------------
% 2.53/0.74  % (21750)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.53/0.74  % (21750)Termination reason: Unknown
% 2.53/0.74  % (21750)Termination phase: Saturation
% 2.53/0.74  
% 2.53/0.74  % (21750)Memory used [KB]: 1279
% 2.53/0.74  % (21750)Time elapsed: 0.016 s
% 2.53/0.74  % (21750)Instructions burned: 46 (million)
% 2.53/0.74  % (21750)------------------------------
% 2.53/0.74  % (21750)------------------------------
% 2.53/0.75  % (21751)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 theBenchmark for (2996ds/432Mi)
% 2.98/0.75  % (21752)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2996ds/62Mi)
% 2.98/0.77  % (21741)Instruction limit reached!
% 2.98/0.77  % (21741)------------------------------
% 2.98/0.77  % (21741)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.98/0.77  % (21741)Termination reason: Unknown
% 2.98/0.77  % (21741)Termination phase: Saturation
% 2.98/0.77  
% 2.98/0.77  % (21741)Memory used [KB]: 6524
% 2.98/0.77  % (21741)Time elapsed: 0.135 s
% 2.98/0.77  % (21741)Instructions burned: 451 (million)
% 2.98/0.77  % (21741)------------------------------
% 2.98/0.77  % (21741)------------------------------
% 3.16/0.77  % (21752)Instruction limit reached!
% 3.16/0.77  % (21752)------------------------------
% 3.16/0.77  % (21752)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.16/0.77  % (21752)Termination reason: Unknown
% 3.16/0.77  % (21752)Termination phase: Saturation
% 3.16/0.77  
% 3.16/0.77  % (21752)Memory used [KB]: 5884
% 3.16/0.77  % (21752)Time elapsed: 0.042 s
% 3.16/0.77  % (21752)Instructions burned: 62 (million)
% 3.16/0.77  % (21752)------------------------------
% 3.16/0.77  % (21752)------------------------------
% 3.16/0.77  % (21753)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 theBenchmark for (2995ds/31Mi)
% 3.16/0.78  % (21754)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2995ds/96Mi)
% 3.16/0.78  % (21753)Instruction limit reached!
% 3.16/0.78  % (21753)------------------------------
% 3.16/0.78  % (21753)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.16/0.78  % (21753)Termination reason: Unknown
% 3.16/0.78  % (21753)Termination phase: Saturation
% 3.16/0.78  
% 3.16/0.78  % (21753)Memory used [KB]: 5756
% 3.16/0.78  % (21753)Time elapsed: 0.011 s
% 3.16/0.78  % (21753)Instructions burned: 31 (million)
% 3.16/0.78  % (21753)------------------------------
% 3.16/0.78  % (21753)------------------------------
% 3.16/0.79  % (21723)Instruction limit reached!
% 3.16/0.79  % (21723)------------------------------
% 3.16/0.79  % (21723)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.16/0.79  % (21723)Termination reason: Unknown
% 3.16/0.79  % (21723)Termination phase: Saturation
% 3.16/0.79  
% 3.16/0.79  % (21723)Memory used [KB]: 8827
% 3.16/0.79  % (21723)Time elapsed: 0.376 s
% 3.16/0.79  % (21723)Instructions burned: 902 (million)
% 3.16/0.79  % (21723)------------------------------
% 3.16/0.79  % (21723)------------------------------
% 3.16/0.79  % (21755)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 theBenchmark for (2995ds/453Mi)
% 3.16/0.80  % (21756)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2995ds/71Mi)
% 3.33/0.81  % (21754)Instruction limit reached!
% 3.33/0.81  % (21754)------------------------------
% 3.33/0.81  % (21754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.33/0.81  % (21754)Termination reason: Unknown
% 3.33/0.81  % (21754)Termination phase: Saturation
% 3.33/0.81  
% 3.33/0.81  % (21754)Memory used [KB]: 5884
% 3.33/0.81  % (21754)Time elapsed: 0.034 s
% 3.33/0.81  % (21754)Instructions burned: 97 (million)
% 3.33/0.81  % (21754)------------------------------
% 3.33/0.81  % (21754)------------------------------
% 3.33/0.82  % (21757)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2995ds/83Mi)
% 3.33/0.82  % (21730)Instruction limit reached!
% 3.33/0.82  % (21730)------------------------------
% 3.33/0.82  % (21730)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.33/0.82  % (21730)Termination reason: Unknown
% 3.33/0.82  % (21730)Termination phase: Saturation
% 3.33/0.82  
% 3.33/0.82  % (21730)Memory used [KB]: 7675
% 3.33/0.82  % (21730)Time elapsed: 0.340 s
% 3.33/0.82  % (21730)Instructions burned: 879 (million)
% 3.33/0.82  % (21730)------------------------------
% 3.33/0.82  % (21730)------------------------------
% 3.33/0.83  % (21758)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2995ds/11Mi)
% 3.33/0.84  % (21758)Instruction limit reached!
% 3.33/0.84  % (21758)------------------------------
% 3.33/0.84  % (21758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.33/0.84  % (21758)Termination reason: Unknown
% 3.33/0.84  % (21758)Termination phase: Saturation
% 3.33/0.84  
% 3.33/0.84  % (21758)Memory used [KB]: 5500
% 3.33/0.84  % (21758)Time elapsed: 0.005 s
% 3.33/0.84  % (21758)Instructions burned: 13 (million)
% 3.33/0.84  % (21758)------------------------------
% 3.33/0.84  % (21758)------------------------------
% 3.33/0.84  % (21744)Instruction limit reached!
% 3.33/0.84  % (21744)------------------------------
% 3.33/0.84  % (21744)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.33/0.84  % (21744)Termination reason: Unknown
% 3.33/0.84  % (21744)Termination phase: Saturation
% 3.33/0.84  
% 3.33/0.84  % (21744)Memory used [KB]: 6908
% 3.33/0.84  % (21744)Time elapsed: 0.185 s
% 3.33/0.84  % (21744)Instructions burned: 509 (million)
% 3.33/0.84  % (21744)------------------------------
% 3.33/0.84  % (21744)------------------------------
% 3.64/0.84  % (21756)Instruction limit reached!
% 3.64/0.84  % (21756)------------------------------
% 3.64/0.84  % (21756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.64/0.84  % (21756)Termination reason: Unknown
% 3.64/0.84  % (21756)Termination phase: Saturation
% 3.64/0.84  
% 3.64/0.84  % (21756)Memory used [KB]: 5884
% 3.64/0.84  % (21756)Time elapsed: 0.041 s
% 3.64/0.84  % (21756)Instructions burned: 71 (million)
% 3.64/0.84  % (21756)------------------------------
% 3.64/0.84  % (21756)------------------------------
% 3.64/0.84  % (21759)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 theBenchmark for (2995ds/41Mi)
% 3.64/0.85  % (21760)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 3.64/0.85  % (21757)Instruction limit reached!
% 3.64/0.85  % (21757)------------------------------
% 3.64/0.85  % (21757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.64/0.85  % (21757)Termination reason: Unknown
% 3.64/0.85  % (21757)Termination phase: Saturation
% 3.64/0.85  % (21760)Instruction limit reached!
% 3.64/0.85  % (21760)------------------------------
% 3.64/0.85  % (21760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.64/0.85  
% 3.64/0.85  % (21757)Memory used [KB]: 6012
% 3.64/0.85  % (21757)Time elapsed: 0.028 s
% 3.64/0.85  % (21757)Instructions burned: 83 (million)
% 3.64/0.85  % (21757)------------------------------
% 3.64/0.85  % (21757)------------------------------
% 3.64/0.85  % (21760)Termination reason: Unknown
% 3.64/0.85  % (21760)Termination phase: Saturation
% 3.64/0.85  
% 3.64/0.85  % (21760)Memory used [KB]: 5628
% 3.64/0.85  % (21760)Time elapsed: 0.004 s
% 3.64/0.85  % (21760)Instructions burned: 8 (million)
% 3.64/0.85  % (21760)------------------------------
% 3.64/0.85  % (21760)------------------------------
% 3.64/0.86  % (21761)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2995ds/150Mi)
% 3.64/0.86  % (21763)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 theBenchmark for (2995ds/109Mi)
% 3.64/0.86  % (21762)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2995ds/343Mi)
% 3.64/0.86  % (21759)Instruction limit reached!
% 3.64/0.86  % (21759)------------------------------
% 3.64/0.86  % (21759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.64/0.86  % (21759)Termination reason: Unknown
% 3.64/0.86  % (21759)Termination phase: Saturation
% 3.64/0.86  
% 3.64/0.86  % (21759)Memory used [KB]: 5628
% 3.64/0.86  % (21759)Time elapsed: 0.014 s
% 3.64/0.86  % (21759)Instructions burned: 41 (million)
% 3.64/0.86  % (21759)------------------------------
% 3.64/0.86  % (21759)------------------------------
% 3.64/0.87  % (21764)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 theBenchmark for (2994ds/253Mi)
% 3.64/0.88  % (21712)Instruction limit reached!
% 3.64/0.88  % (21712)------------------------------
% 3.64/0.88  % (21712)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.64/0.88  % (21712)Termination reason: Unknown
% 3.64/0.88  % (21712)Termination phase: Saturation
% 3.64/0.88  
% 3.64/0.88  % (21712)Memory used [KB]: 7675
% 3.64/0.88  % (21712)Time elapsed: 0.505 s
% 3.64/0.88  % (21712)Instructions burned: 1042 (million)
% 3.64/0.88  % (21712)------------------------------
% 3.64/0.88  % (21712)------------------------------
% 3.64/0.88  % (21751)Instruction limit reached!
% 3.64/0.88  % (21751)------------------------------
% 3.64/0.88  % (21751)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.64/0.88  % (21751)Termination reason: Unknown
% 3.64/0.88  % (21751)Termination phase: Saturation
% 3.64/0.88  
% 3.64/0.88  % (21751)Memory used [KB]: 3837
% 3.64/0.88  % (21751)Time elapsed: 0.153 s
% 3.64/0.88  % (21751)Instructions burned: 433 (million)
% 3.64/0.88  % (21751)------------------------------
% 3.64/0.88  % (21751)------------------------------
% 3.64/0.89  % (21766)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 theBenchmark for (2994ds/614Mi)
% 3.64/0.89  % (21765)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2994ds/140Mi)
% 3.64/0.89  % (21763)Instruction limit reached!
% 3.64/0.89  % (21763)------------------------------
% 3.64/0.89  % (21763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.64/0.89  % (21763)Termination reason: Unknown
% 3.64/0.89  % (21763)Termination phase: Saturation
% 3.64/0.89  
% 3.64/0.89  % (21763)Memory used [KB]: 6268
% 3.64/0.89  % (21763)Time elapsed: 0.034 s
% 3.64/0.89  % (21763)Instructions burned: 109 (million)
% 3.64/0.89  % (21763)------------------------------
% 3.64/0.89  % (21763)------------------------------
% 3.64/0.90  % (21767)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 theBenchmark for (2994ds/202Mi)
% 3.64/0.92  % (21761)Instruction limit reached!
% 3.64/0.92  % (21761)------------------------------
% 3.64/0.92  % (21761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.64/0.92  % (21761)Termination reason: Unknown
% 3.64/0.92  % (21761)Termination phase: Saturation
% 3.64/0.92  
% 3.64/0.92  % (21761)Memory used [KB]: 6140
% 3.64/0.92  % (21761)Time elapsed: 0.068 s
% 3.64/0.92  % (21761)Instructions burned: 151 (million)
% 3.64/0.92  % (21761)------------------------------
% 3.64/0.92  % (21761)------------------------------
% 4.06/0.93  % (21765)Refutation not found, incomplete strategy
% 4.06/0.93  % (21765)------------------------------
% 4.06/0.93  % (21765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.06/0.93  % (21765)Termination reason: Refutation not found, incomplete strategy
% 4.06/0.93  
% 4.06/0.93  
% 4.06/0.93  % (21765)Memory used [KB]: 6012
% 4.06/0.93  % (21765)Time elapsed: 0.040 s
% 4.06/0.93  % (21765)Instructions burned: 90 (million)
% 4.06/0.93  % (21765)------------------------------
% 4.06/0.93  % (21765)------------------------------
% 4.06/0.93  % (21755)Instruction limit reached!
% 4.06/0.93  % (21755)------------------------------
% 4.06/0.93  % (21755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.06/0.93  % (21755)Termination reason: Unknown
% 4.06/0.93  % (21755)Termination phase: Saturation
% 4.06/0.93  
% 4.06/0.93  % (21755)Memory used [KB]: 6268
% 4.06/0.93  % (21755)Time elapsed: 0.144 s
% 4.06/0.93  % (21755)Instructions burned: 454 (million)
% 4.06/0.93  % (21755)------------------------------
% 4.06/0.93  % (21755)------------------------------
% 4.06/0.93  % (21768)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 theBenchmark for (2994ds/339Mi)
% 4.06/0.94  % (21769)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 theBenchmark for (2994ds/283Mi)
% 4.06/0.95  % (21770)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2994ds/134Mi)
% 4.06/0.95  % (21764)Instruction limit reached!
% 4.06/0.95  % (21764)------------------------------
% 4.06/0.95  % (21764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.06/0.95  % (21764)Termination reason: Unknown
% 4.06/0.95  % (21764)Termination phase: Saturation
% 4.06/0.95  
% 4.06/0.95  % (21764)Memory used [KB]: 6140
% 4.06/0.95  % (21764)Time elapsed: 0.087 s
% 4.06/0.95  % (21764)Instructions burned: 253 (million)
% 4.06/0.95  % (21764)------------------------------
% 4.06/0.95  % (21764)------------------------------
% 4.06/0.96  % (21767)Instruction limit reached!
% 4.06/0.96  % (21767)------------------------------
% 4.06/0.96  % (21767)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.06/0.96  % (21767)Termination reason: Unknown
% 4.06/0.96  % (21767)Termination phase: Saturation
% 4.06/0.96  
% 4.06/0.96  % (21767)Memory used [KB]: 6396
% 4.06/0.96  % (21767)Time elapsed: 0.062 s
% 4.06/0.96  % (21767)Instructions burned: 202 (million)
% 4.06/0.96  % (21767)------------------------------
% 4.06/0.96  % (21767)------------------------------
% 4.06/0.96  % (21771)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2994ds/298Mi)
% 4.06/0.97  % (21762)Instruction limit reached!
% 4.06/0.97  % (21762)------------------------------
% 4.06/0.97  % (21762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.06/0.97  % (21762)Termination reason: Unknown
% 4.06/0.97  % (21762)Termination phase: Saturation
% 4.06/0.97  
% 4.06/0.97  % (21762)Memory used [KB]: 6652
% 4.06/0.97  % (21762)Time elapsed: 0.111 s
% 4.06/0.97  % (21762)Instructions burned: 344 (million)
% 4.06/0.97  % (21762)------------------------------
% 4.06/0.97  % (21762)------------------------------
% 4.06/0.97  % (21772)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2993ds/192Mi)
% 4.06/0.97  % (21773)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 theBenchmark for (2993ds/258Mi)
% 4.54/1.00  % (21770)Instruction limit reached!
% 4.54/1.00  % (21770)------------------------------
% 4.54/1.00  % (21770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.54/1.00  % (21770)Termination reason: Unknown
% 4.54/1.00  % (21770)Termination phase: Saturation
% 4.54/1.00  
% 4.54/1.00  % (21770)Memory used [KB]: 6268
% 4.54/1.00  % (21770)Time elapsed: 0.054 s
% 4.54/1.00  % (21770)Instructions burned: 134 (million)
% 4.54/1.00  % (21770)------------------------------
% 4.54/1.00  % (21770)------------------------------
% 4.54/1.01  % (21774)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 theBenchmark for (2993ds/90Mi)
% 4.54/1.02  % (21769)Instruction limit reached!
% 4.54/1.02  % (21769)------------------------------
% 4.54/1.02  % (21769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.54/1.02  % (21769)Termination reason: Unknown
% 4.54/1.02  % (21769)Termination phase: Saturation
% 4.54/1.02  
% 4.54/1.02  % (21769)Memory used [KB]: 8059
% 4.54/1.02  % (21769)Time elapsed: 0.077 s
% 4.54/1.02  % (21769)Instructions burned: 285 (million)
% 4.54/1.02  % (21769)------------------------------
% 4.54/1.02  % (21769)------------------------------
% 4.54/1.02  % (21775)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 theBenchmark for (2993ds/231Mi)
% 4.54/1.04  % (21768)Instruction limit reached!
% 4.54/1.04  % (21768)------------------------------
% 4.54/1.04  % (21768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.54/1.04  % (21768)Termination reason: Unknown
% 4.54/1.04  % (21768)Termination phase: Saturation
% 4.54/1.04  
% 4.54/1.04  % (21768)Memory used [KB]: 7547
% 4.54/1.04  % (21768)Time elapsed: 0.104 s
% 4.54/1.04  % (21768)Instructions burned: 339 (million)
% 4.54/1.04  % (21768)------------------------------
% 4.54/1.04  % (21768)------------------------------
% 4.54/1.04  % (21774)Instruction limit reached!
% 4.54/1.04  % (21774)------------------------------
% 4.54/1.04  % (21774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.54/1.04  % (21774)Termination reason: Unknown
% 4.54/1.04  % (21774)Termination phase: Saturation
% 4.54/1.04  
% 4.54/1.04  % (21774)Memory used [KB]: 5884
% 4.54/1.04  % (21774)Time elapsed: 0.030 s
% 4.54/1.04  % (21774)Instructions burned: 91 (million)
% 4.54/1.04  % (21774)------------------------------
% 4.54/1.04  % (21774)------------------------------
% 4.54/1.05  % (21777)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 theBenchmark for (2993ds/31Mi)
% 4.54/1.05  % (21776)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 theBenchmark for (2993ds/458Mi)
% 4.54/1.05  % (21772)Instruction limit reached!
% 4.54/1.05  % (21772)------------------------------
% 4.54/1.05  % (21772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.54/1.05  % (21772)Termination reason: Unknown
% 4.54/1.05  % (21772)Termination phase: Saturation
% 4.54/1.05  
% 4.54/1.05  % (21772)Memory used [KB]: 6524
% 4.54/1.05  % (21772)Time elapsed: 0.080 s
% 4.54/1.05  % (21772)Instructions burned: 194 (million)
% 4.54/1.05  % (21772)------------------------------
% 4.54/1.05  % (21772)------------------------------
% 4.54/1.05  % (21773)Instruction limit reached!
% 4.54/1.05  % (21773)------------------------------
% 4.54/1.05  % (21773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.54/1.05  % (21773)Termination reason: Unknown
% 4.54/1.05  % (21773)Termination phase: Saturation
% 4.54/1.05  
% 4.54/1.05  % (21773)Memory used [KB]: 6140
% 4.54/1.05  % (21773)Time elapsed: 0.077 s
% 4.54/1.05  % (21773)Instructions burned: 260 (million)
% 4.54/1.05  % (21773)------------------------------
% 4.54/1.05  % (21773)------------------------------
% 5.01/1.05  % (21778)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 theBenchmark for (2993ds/297Mi)
% 5.01/1.05  % (21777)Instruction limit reached!
% 5.01/1.05  % (21777)------------------------------
% 5.01/1.05  % (21777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.01/1.05  % (21777)Termination reason: Unknown
% 5.01/1.05  % (21777)Termination phase: Saturation
% 5.01/1.05  
% 5.01/1.05  % (21777)Memory used [KB]: 5756
% 5.01/1.05  % (21777)Time elapsed: 0.011 s
% 5.01/1.05  % (21777)Instructions burned: 31 (million)
% 5.01/1.05  % (21777)------------------------------
% 5.01/1.05  % (21777)------------------------------
% 5.01/1.06  % (21766)Instruction limit reached!
% 5.01/1.06  % (21766)------------------------------
% 5.01/1.06  % (21766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.01/1.06  % (21766)Termination reason: Unknown
% 5.01/1.06  % (21766)Termination phase: Saturation
% 5.01/1.06  
% 5.01/1.06  % (21766)Memory used [KB]: 7291
% 5.01/1.06  % (21766)Time elapsed: 0.170 s
% 5.01/1.06  % (21766)Instructions burned: 618 (million)
% 5.01/1.06  % (21766)------------------------------
% 5.01/1.06  % (21766)------------------------------
% 5.01/1.06  % (21779)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 theBenchmark for (2993ds/987Mi)
% 5.01/1.06  % (21780)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 theBenchmark for (2993ds/182Mi)
% 5.01/1.06  % (21748)Instruction limit reached!
% 5.01/1.06  % (21748)------------------------------
% 5.01/1.06  % (21748)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.01/1.06  % (21748)Termination reason: Unknown
% 5.01/1.06  % (21748)Termination phase: Saturation
% 5.01/1.06  
% 5.01/1.06  % (21748)Memory used [KB]: 7547
% 5.01/1.06  % (21748)Time elapsed: 0.344 s
% 5.01/1.06  % (21748)Instructions burned: 1087 (million)
% 5.01/1.06  % (21748)------------------------------
% 5.01/1.06  % (21748)------------------------------
% 5.01/1.06  % (21781)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 theBenchmark for (2993ds/182Mi)
% 5.01/1.07  % (21782)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 theBenchmark for (2992ds/154Mi)
% 5.83/1.08  % (21775)Instruction limit reached!
% 5.83/1.08  % (21775)------------------------------
% 5.83/1.08  % (21775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.83/1.08  % (21775)Termination reason: Unknown
% 5.83/1.08  % (21775)Termination phase: Saturation
% 5.83/1.08  
% 5.83/1.08  % (21775)Memory used [KB]: 5756
% 5.83/1.08  % (21775)Time elapsed: 0.058 s
% 5.83/1.08  % (21775)Instructions burned: 233 (million)
% 5.83/1.08  % (21775)------------------------------
% 5.83/1.08  % (21775)------------------------------
% 5.83/1.09  % (21783)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 theBenchmark for (2992ds/79Mi)
% 5.83/1.10  % (21771)Instruction limit reached!
% 5.83/1.10  % (21771)------------------------------
% 5.83/1.10  % (21771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.83/1.10  % (21771)Termination reason: Unknown
% 5.83/1.10  % (21771)Termination phase: Saturation
% 5.83/1.10  
% 5.83/1.10  % (21771)Memory used [KB]: 6396
% 5.83/1.10  % (21771)Time elapsed: 0.137 s
% 5.83/1.10  % (21771)Instructions burned: 299 (million)
% 5.83/1.10  % (21771)------------------------------
% 5.83/1.10  % (21771)------------------------------
% 5.83/1.11  % (21780)Instruction limit reached!
% 5.83/1.11  % (21780)------------------------------
% 5.83/1.11  % (21780)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.83/1.11  % (21780)Termination reason: Unknown
% 5.83/1.11  % (21780)Termination phase: Saturation
% 5.83/1.11  
% 5.83/1.11  % (21780)Memory used [KB]: 6524
% 5.83/1.11  % (21780)Time elapsed: 0.046 s
% 5.83/1.11  % (21780)Instructions burned: 184 (million)
% 5.83/1.11  % (21780)------------------------------
% 5.83/1.11  % (21780)------------------------------
% 5.83/1.11  % (21784)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 theBenchmark for (2992ds/216Mi)
% 5.83/1.11  % (21783)Instruction limit reached!
% 5.83/1.11  % (21783)------------------------------
% 5.83/1.11  % (21783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.83/1.11  % (21783)Termination reason: Unknown
% 5.83/1.11  % (21783)Termination phase: Saturation
% 5.83/1.11  
% 5.83/1.11  % (21783)Memory used [KB]: 6012
% 5.83/1.11  % (21783)Time elapsed: 0.027 s
% 5.83/1.11  % (21783)Instructions burned: 79 (million)
% 5.83/1.11  % (21783)------------------------------
% 5.83/1.11  % (21783)------------------------------
% 5.83/1.12  % (21785)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2992ds/114Mi)
% 5.83/1.12  % (21782)Instruction limit reached!
% 5.83/1.12  % (21782)------------------------------
% 5.83/1.12  % (21782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.83/1.12  % (21782)Termination reason: Unknown
% 5.83/1.12  % (21782)Termination phase: Saturation
% 5.83/1.12  
% 5.83/1.12  % (21782)Memory used [KB]: 6140
% 5.83/1.12  % (21782)Time elapsed: 0.047 s
% 5.83/1.12  % (21782)Instructions burned: 155 (million)
% 5.83/1.12  % (21782)------------------------------
% 5.83/1.12  % (21782)------------------------------
% 5.83/1.12  % (21786)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2992ds/922Mi)
% 6.17/1.12  % (21787)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 theBenchmark for (2992ds/182Mi)
% 6.17/1.14  % (21781)Instruction limit reached!
% 6.17/1.14  % (21781)------------------------------
% 6.17/1.14  % (21781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.17/1.14  % (21781)Termination reason: Unknown
% 6.17/1.14  % (21781)Termination phase: Saturation
% 6.17/1.14  
% 6.17/1.14  % (21781)Memory used [KB]: 6012
% 6.17/1.14  % (21781)Time elapsed: 0.085 s
% 6.17/1.14  % (21781)Instructions burned: 183 (million)
% 6.17/1.14  % (21781)------------------------------
% 6.17/1.14  % (21781)------------------------------
% 6.17/1.14  % (21788)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 theBenchmark for (2992ds/164Mi)
% 6.17/1.15  % (21785)Instruction limit reached!
% 6.17/1.15  % (21785)------------------------------
% 6.17/1.15  % (21785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.17/1.15  % (21785)Termination reason: Unknown
% 6.17/1.15  % (21785)Termination phase: Saturation
% 6.17/1.15  
% 6.17/1.15  % (21785)Memory used [KB]: 6524
% 6.17/1.15  % (21785)Time elapsed: 0.033 s
% 6.17/1.15  % (21785)Instructions burned: 117 (million)
% 6.17/1.15  % (21785)------------------------------
% 6.17/1.15  % (21785)------------------------------
% 6.31/1.15  % (21778)Instruction limit reached!
% 6.31/1.15  % (21778)------------------------------
% 6.31/1.15  % (21778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.31/1.15  % (21778)Termination reason: Unknown
% 6.31/1.15  % (21778)Termination phase: Saturation
% 6.31/1.15  
% 6.31/1.15  % (21778)Memory used [KB]: 6268
% 6.31/1.15  % (21778)Time elapsed: 0.101 s
% 6.31/1.15  % (21778)Instructions burned: 297 (million)
% 6.31/1.15  % (21778)------------------------------
% 6.31/1.15  % (21778)------------------------------
% 6.31/1.15  % (21789)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 theBenchmark for (2992ds/50Mi)
% 6.31/1.16  % (21790)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2992ds/368Mi)
% 6.31/1.17  % (21789)Instruction limit reached!
% 6.31/1.17  % (21789)------------------------------
% 6.31/1.17  % (21789)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.31/1.17  % (21789)Termination reason: Unknown
% 6.31/1.17  % (21789)Termination phase: Saturation
% 6.31/1.17  
% 6.31/1.17  % (21789)Memory used [KB]: 10618
% 6.31/1.17  % (21789)Time elapsed: 0.016 s
% 6.31/1.17  % (21789)Instructions burned: 53 (million)
% 6.31/1.17  % (21789)------------------------------
% 6.31/1.17  % (21789)------------------------------
% 6.31/1.18  % (21791)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 theBenchmark for (2991ds/1021Mi)
% 6.31/1.18  % (21787)Instruction limit reached!
% 6.31/1.18  % (21787)------------------------------
% 6.31/1.18  % (21787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.31/1.18  % (21787)Termination reason: Unknown
% 6.31/1.18  % (21787)Termination phase: Saturation
% 6.31/1.18  
% 6.31/1.18  % (21787)Memory used [KB]: 5756
% 6.31/1.18  % (21787)Time elapsed: 0.056 s
% 6.31/1.18  % (21787)Instructions burned: 183 (million)
% 6.31/1.18  % (21787)------------------------------
% 6.31/1.18  % (21787)------------------------------
% 6.31/1.18  % (21784)Instruction limit reached!
% 6.31/1.18  % (21784)------------------------------
% 6.31/1.18  % (21784)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.31/1.18  % (21784)Termination reason: Unknown
% 6.31/1.18  % (21784)Termination phase: Saturation
% 6.31/1.18  
% 6.31/1.18  % (21784)Memory used [KB]: 6524
% 6.31/1.18  % (21784)Time elapsed: 0.078 s
% 6.31/1.18  % (21784)Instructions burned: 216 (million)
% 6.31/1.18  % (21784)------------------------------
% 6.31/1.18  % (21784)------------------------------
% 6.31/1.19  % (21792)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 theBenchmark for (2991ds/267Mi)
% 6.31/1.19  % (21788)Instruction limit reached!
% 6.31/1.19  % (21788)------------------------------
% 6.31/1.19  % (21788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.31/1.19  % (21788)Termination reason: Unknown
% 6.31/1.19  % (21788)Termination phase: Saturation
% 6.31/1.19  
% 6.31/1.19  % (21788)Memory used [KB]: 1279
% 6.31/1.19  % (21788)Time elapsed: 0.051 s
% 6.31/1.19  % (21788)Instructions burned: 166 (million)
% 6.31/1.19  % (21788)------------------------------
% 6.31/1.19  % (21788)------------------------------
% 6.31/1.20  % (21793)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 theBenchmark for (2991ds/204Mi)
% 6.31/1.20  % (21794)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 theBenchmark for (2991ds/26Mi)
% 6.31/1.21  % (21794)Instruction limit reached!
% 6.31/1.21  % (21794)------------------------------
% 6.31/1.21  % (21794)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.31/1.21  % (21794)Termination reason: Unknown
% 6.31/1.21  % (21794)Termination phase: Saturation
% 6.31/1.21  
% 6.31/1.21  % (21794)Memory used [KB]: 5500
% 6.31/1.21  % (21794)Time elapsed: 0.009 s
% 6.31/1.21  % (21794)Instructions burned: 27 (million)
% 6.31/1.21  % (21794)------------------------------
% 6.31/1.21  % (21794)------------------------------
% 6.31/1.22  % (21795)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 theBenchmark for (2991ds/53Mi)
% 6.70/1.23  % (21795)Instruction limit reached!
% 6.70/1.23  % (21795)------------------------------
% 6.70/1.23  % (21795)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.70/1.23  % (21795)Termination reason: Unknown
% 6.70/1.23  % (21795)Termination phase: Saturation
% 6.70/1.23  
% 6.70/1.23  % (21795)Memory used [KB]: 5628
% 6.70/1.23  % (21795)Time elapsed: 0.016 s
% 6.70/1.23  % (21795)Instructions burned: 53 (million)
% 6.70/1.23  % (21795)------------------------------
% 6.70/1.23  % (21795)------------------------------
% 6.70/1.23  % (21776)Instruction limit reached!
% 6.70/1.23  % (21776)------------------------------
% 6.70/1.23  % (21776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.70/1.23  % (21776)Termination reason: Unknown
% 6.70/1.23  % (21776)Termination phase: Saturation
% 6.70/1.23  
% 6.70/1.23  % (21776)Memory used [KB]: 6780
% 6.70/1.23  % (21776)Time elapsed: 0.187 s
% 6.70/1.23  % (21776)Instructions burned: 458 (million)
% 6.70/1.23  % (21776)------------------------------
% 6.70/1.23  % (21776)------------------------------
% 6.70/1.24  % (21796)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 theBenchmark for (2991ds/4436Mi)
% 6.70/1.24  % (21797)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2991ds/1539Mi)
% 6.79/1.27  % (21792)Instruction limit reached!
% 6.79/1.27  % (21792)------------------------------
% 6.79/1.27  % (21792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.79/1.27  % (21792)Termination reason: Unknown
% 6.79/1.27  % (21792)Termination phase: Saturation
% 6.79/1.27  
% 6.79/1.27  % (21792)Memory used [KB]: 6268
% 6.79/1.27  % (21792)Time elapsed: 0.106 s
% 6.79/1.27  % (21792)Instructions burned: 267 (million)
% 6.79/1.27  % (21792)------------------------------
% 6.79/1.27  % (21792)------------------------------
% 6.79/1.27  % (21790)Instruction limit reached!
% 6.79/1.27  % (21790)------------------------------
% 6.79/1.27  % (21790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.79/1.27  % (21790)Termination reason: Unknown
% 6.79/1.27  % (21790)Termination phase: Saturation
% 6.79/1.27  
% 6.79/1.27  % (21790)Memory used [KB]: 6780
% 6.79/1.27  % (21790)Time elapsed: 0.133 s
% 6.79/1.27  % (21790)Instructions burned: 368 (million)
% 6.79/1.27  % (21790)------------------------------
% 6.79/1.27  % (21790)------------------------------
% 6.79/1.28  % (21799)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 theBenchmark for (2990ds/5205Mi)
% 6.79/1.28  % (21793)Instruction limit reached!
% 6.79/1.28  % (21793)------------------------------
% 6.79/1.28  % (21793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.79/1.28  % (21793)Termination reason: Unknown
% 6.79/1.28  % (21793)Termination phase: Saturation
% 6.79/1.28  
% 6.79/1.28  % (21793)Memory used [KB]: 6268
% 6.79/1.28  % (21793)Time elapsed: 0.086 s
% 6.79/1.28  % (21793)Instructions burned: 206 (million)
% 6.79/1.28  % (21793)------------------------------
% 6.79/1.28  % (21793)------------------------------
% 6.79/1.29  % (21798)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 theBenchmark for (2990ds/408Mi)
% 6.79/1.29  % (21800)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 theBenchmark for (2990ds/1913Mi)
% 7.16/1.36  % (21779)Instruction limit reached!
% 7.16/1.36  % (21779)------------------------------
% 7.16/1.36  % (21779)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.16/1.36  % (21779)Termination reason: Unknown
% 7.16/1.36  % (21779)Termination phase: Saturation
% 7.16/1.36  
% 7.16/1.36  % (21779)Memory used [KB]: 6908
% 7.16/1.36  % (21779)Time elapsed: 0.306 s
% 7.16/1.36  % (21779)Instructions burned: 989 (million)
% 7.16/1.36  % (21779)------------------------------
% 7.16/1.36  % (21779)------------------------------
% 7.19/1.37  % (21801)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 theBenchmark for (2989ds/4350Mi)
% 7.19/1.40  % (21800)First to succeed.
% 7.19/1.41  % (21800)Refutation found. Thanks to Tanya!
% 7.19/1.41  % SZS status Theorem for theBenchmark
% 7.19/1.41  % SZS output start Proof for theBenchmark
% See solution above
% 7.19/1.41  % (21800)------------------------------
% 7.19/1.41  % (21800)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.19/1.41  % (21800)Termination reason: Refutation
% 7.19/1.41  
% 7.19/1.41  % (21800)Memory used [KB]: 1535
% 7.19/1.41  % (21800)Time elapsed: 0.119 s
% 7.19/1.41  % (21800)Instructions burned: 359 (million)
% 7.19/1.41  % (21800)------------------------------
% 7.19/1.41  % (21800)------------------------------
% 7.19/1.41  % (21700)Success in time 1.061 s
% 7.19/1.41  % Vampire---4.8 exiting
%------------------------------------------------------------------------------