TSTP Solution File: SEV089^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV089^5 : 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 : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 04:11:56 EDT 2024

% Result   : Theorem 1.89s 0.60s
% Output   : Refutation 1.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  162 (   2 unt;  11 typ;   0 def)
%            Number of atoms       : 1094 ( 544 equ;  13 cnn)
%            Maximal formula atoms :   16 (   7 avg)
%            Number of connectives : 1701 ( 182   ~; 290   |; 107   &;1088   @)
%                                         (   4 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  104 ( 104   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :  365 ( 107   ^ 209   !;  48   ?; 365   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

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

thf(func_def_9,type,
    sK0: a > $o ).

thf(func_def_10,type,
    sK1: a > $o ).

thf(func_def_11,type,
    sK2: a > a ).

thf(func_def_12,type,
    sK3: a > a ).

thf(func_def_13,type,
    sK4: ( a > a ) > a ).

thf(func_def_14,type,
    sK5: ( a > a ) > a ).

thf(func_def_16,type,
    ph7: 
      !>[X0: $tType] : X0 ).

thf(func_def_17,type,
    sK8: a > ( a > a ) > a ).

thf(func_def_18,type,
    sK9: a > ( a > a ) > a ).

thf(f1110,plain,
    $false,
    inference(avatar_sat_refutation,[],[f445,f899,f1043,f1045,f1109]) ).

thf(f1109,plain,
    ( spl6_3
    | spl6_19 ),
    inference(avatar_contradiction_clause,[],[f1108]) ).

thf(f1108,plain,
    ( $false
    | spl6_3
    | spl6_19 ),
    inference(subsumption_resolution,[],[f1104,f111]) ).

thf(f111,plain,
    ( ( $true
     != ( sK1 @ ( sK4 @ sK3 ) ) )
    | spl6_3 ),
    inference(avatar_component_clause,[],[f110]) ).

thf(f110,plain,
    ( spl6_3
  <=> ( $true
      = ( sK1 @ ( sK4 @ sK3 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

thf(f1104,plain,
    ( ( $true
      = ( sK1 @ ( sK4 @ sK3 ) ) )
    | spl6_3
    | spl6_19 ),
    inference(trivial_inequality_removal,[],[f1101]) ).

thf(f1101,plain,
    ( ( $true
      = ( sK1 @ ( sK4 @ sK3 ) ) )
    | ( $false = $true )
    | spl6_3
    | spl6_19 ),
    inference(superposition,[],[f1100,f16]) ).

thf(f16,plain,
    ! [X6: a > a] :
      ( ( $true
        = ( sK0 @ ( sK5 @ X6 ) ) )
      | ( ( sK1 @ ( sK4 @ X6 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f14,plain,
    ( ! [X3: a] :
        ( ( $true
         != ( sK0 @ X3 ) )
        | ( $true
          = ( sK1 @ ( sK2 @ X3 ) ) ) )
    & ! [X4: a] :
        ( ( ( ^ [Y0: a] :
                ( ( sK0 @ Y0 )
                & ( ( sK2 @ Y0 )
                  = X4 ) ) )
          = ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
            @ ( sK3 @ X4 ) ) )
        | ( ( sK1 @ X4 )
         != $true ) )
    & ! [X6: a > a] :
        ( ( ( ( sK0 @ ( X6 @ ( sK4 @ X6 ) ) )
           != $true )
          & ( ( sK1 @ ( sK4 @ X6 ) )
            = $true ) )
        | ( ( $true
            = ( sK0 @ ( sK5 @ X6 ) ) )
          & ! [X9: a] :
              ( ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
                @ X9 )
             != ( ^ [Y0: a] :
                    ( ( ( X6 @ Y0 )
                      = ( sK5 @ X6 ) )
                    & ( sK1 @ Y0 ) ) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f8,f13,f12,f11,f10,f9]) ).

thf(f9,plain,
    ( ? [X0: a > $o,X1: a > $o] :
        ( ? [X2: a > a] :
            ( ! [X3: a] :
                ( ( ( X0 @ X3 )
                 != $true )
                | ( ( X1 @ ( X2 @ X3 ) )
                  = $true ) )
            & ! [X4: a] :
                ( ? [X5: a] :
                    ( ( ^ [Y0: a] :
                          ( ( X0 @ Y0 )
                          & ( ( X2 @ Y0 )
                            = X4 ) ) )
                    = ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
                      @ X5 ) )
                | ( ( X1 @ X4 )
                 != $true ) ) )
        & ! [X6: a > a] :
            ( ? [X7: a] :
                ( ( $true
                 != ( X0 @ ( X6 @ X7 ) ) )
                & ( ( X1 @ X7 )
                  = $true ) )
            | ? [X8: a] :
                ( ( ( X0 @ X8 )
                  = $true )
                & ! [X9: a] :
                    ( ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
                      @ X9 )
                   != ( ^ [Y0: a] :
                          ( ( ( X6 @ Y0 )
                            = X8 )
                          & ( X1 @ Y0 ) ) ) ) ) ) )
   => ( ? [X2: a > a] :
          ( ! [X3: a] :
              ( ( $true
               != ( sK0 @ X3 ) )
              | ( $true
                = ( sK1 @ ( X2 @ X3 ) ) ) )
          & ! [X4: a] :
              ( ? [X5: a] :
                  ( ( ^ [Y0: a] :
                        ( ( sK0 @ Y0 )
                        & ( ( X2 @ Y0 )
                          = X4 ) ) )
                  = ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
                    @ X5 ) )
              | ( ( sK1 @ X4 )
               != $true ) ) )
      & ! [X6: a > a] :
          ( ? [X7: a] :
              ( ( $true
               != ( sK0 @ ( X6 @ X7 ) ) )
              & ( ( sK1 @ X7 )
                = $true ) )
          | ? [X8: a] :
              ( ( $true
                = ( sK0 @ X8 ) )
              & ! [X9: a] :
                  ( ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
                    @ X9 )
                 != ( ^ [Y0: a] :
                        ( ( ( X6 @ Y0 )
                          = X8 )
                        & ( sK1 @ Y0 ) ) ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f10,plain,
    ( ? [X2: a > a] :
        ( ! [X3: a] :
            ( ( $true
             != ( sK0 @ X3 ) )
            | ( $true
              = ( sK1 @ ( X2 @ X3 ) ) ) )
        & ! [X4: a] :
            ( ? [X5: a] :
                ( ( ^ [Y0: a] :
                      ( ( sK0 @ Y0 )
                      & ( ( X2 @ Y0 )
                        = X4 ) ) )
                = ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
                  @ X5 ) )
            | ( ( sK1 @ X4 )
             != $true ) ) )
   => ( ! [X3: a] :
          ( ( $true
           != ( sK0 @ X3 ) )
          | ( $true
            = ( sK1 @ ( sK2 @ X3 ) ) ) )
      & ! [X4: a] :
          ( ? [X5: a] :
              ( ( ^ [Y0: a] :
                    ( ( sK0 @ Y0 )
                    & ( ( sK2 @ Y0 )
                      = X4 ) ) )
              = ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
                @ X5 ) )
          | ( ( sK1 @ X4 )
           != $true ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ! [X4: a] :
      ( ? [X5: a] :
          ( ( ^ [Y0: a] :
                ( ( sK0 @ Y0 )
                & ( ( sK2 @ Y0 )
                  = X4 ) ) )
          = ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
            @ X5 ) )
     => ( ( ^ [Y0: a] :
              ( ( sK0 @ Y0 )
              & ( ( sK2 @ Y0 )
                = X4 ) ) )
        = ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
          @ ( sK3 @ X4 ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f12,plain,
    ! [X6: a > a] :
      ( ? [X7: a] :
          ( ( $true
           != ( sK0 @ ( X6 @ X7 ) ) )
          & ( ( sK1 @ X7 )
            = $true ) )
     => ( ( ( sK0 @ ( X6 @ ( sK4 @ X6 ) ) )
         != $true )
        & ( ( sK1 @ ( sK4 @ X6 ) )
          = $true ) ) ),
    introduced(choice_axiom,[]) ).

thf(f13,plain,
    ! [X6: a > a] :
      ( ? [X8: a] :
          ( ( $true
            = ( sK0 @ X8 ) )
          & ! [X9: a] :
              ( ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
                @ X9 )
             != ( ^ [Y0: a] :
                    ( ( ( X6 @ Y0 )
                      = X8 )
                    & ( sK1 @ Y0 ) ) ) ) )
     => ( ( $true
          = ( sK0 @ ( sK5 @ X6 ) ) )
        & ! [X9: a] :
            ( ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
              @ X9 )
           != ( ^ [Y0: a] :
                  ( ( ( X6 @ Y0 )
                    = ( sK5 @ X6 ) )
                  & ( sK1 @ Y0 ) ) ) ) ) ),
    introduced(choice_axiom,[]) ).

thf(f8,plain,
    ? [X0: a > $o,X1: a > $o] :
      ( ? [X2: a > a] :
          ( ! [X3: a] :
              ( ( ( X0 @ X3 )
               != $true )
              | ( ( X1 @ ( X2 @ X3 ) )
                = $true ) )
          & ! [X4: a] :
              ( ? [X5: a] :
                  ( ( ^ [Y0: a] :
                        ( ( X0 @ Y0 )
                        & ( ( X2 @ Y0 )
                          = X4 ) ) )
                  = ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
                    @ X5 ) )
              | ( ( X1 @ X4 )
               != $true ) ) )
      & ! [X6: a > a] :
          ( ? [X7: a] :
              ( ( $true
               != ( X0 @ ( X6 @ X7 ) ) )
              & ( ( X1 @ X7 )
                = $true ) )
          | ? [X8: a] :
              ( ( ( X0 @ X8 )
                = $true )
              & ! [X9: a] :
                  ( ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
                    @ X9 )
                 != ( ^ [Y0: a] :
                        ( ( ( X6 @ Y0 )
                          = X8 )
                        & ( X1 @ Y0 ) ) ) ) ) ) ),
    inference(rectify,[],[f7]) ).

thf(f7,plain,
    ? [X0: a > $o,X1: a > $o] :
      ( ? [X2: a > a] :
          ( ! [X3: a] :
              ( ( ( X0 @ X3 )
               != $true )
              | ( ( X1 @ ( X2 @ X3 ) )
                = $true ) )
          & ! [X4: a] :
              ( ? [X5: a] :
                  ( ( ^ [Y0: a] :
                        ( ( X0 @ Y0 )
                        & ( ( X2 @ Y0 )
                          = X4 ) ) )
                  = ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
                    @ X5 ) )
              | ( ( X1 @ X4 )
               != $true ) ) )
      & ! [X6: a > a] :
          ( ? [X9: a] :
              ( ( ( X0 @ ( X6 @ X9 ) )
               != $true )
              & ( $true
                = ( X1 @ X9 ) ) )
          | ? [X7: a] :
              ( ( ( X0 @ X7 )
                = $true )
              & ! [X8: a] :
                  ( ( ^ [Y0: a] :
                        ( ( ( X6 @ Y0 )
                          = X7 )
                        & ( X1 @ Y0 ) ) )
                 != ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
                    @ X8 ) ) ) ) ),
    inference(ennf_transformation,[],[f6]) ).

thf(f6,plain,
    ~ ! [X0: a > $o,X1: a > $o] :
        ( ? [X2: a > a] :
            ( ! [X3: a] :
                ( ( ( X0 @ X3 )
                  = $true )
               => ( ( X1 @ ( X2 @ X3 ) )
                  = $true ) )
            & ! [X4: a] :
                ( ( ( X1 @ X4 )
                  = $true )
               => ? [X5: a] :
                    ( ( ^ [Y0: a] :
                          ( ( X0 @ Y0 )
                          & ( ( X2 @ Y0 )
                            = X4 ) ) )
                    = ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
                      @ X5 ) ) ) )
       => ? [X6: a > a] :
            ( ! [X9: a] :
                ( ( $true
                  = ( X1 @ X9 ) )
               => ( ( X0 @ ( X6 @ X9 ) )
                  = $true ) )
            & ! [X7: a] :
                ( ( ( X0 @ X7 )
                  = $true )
               => ? [X8: a] :
                    ( ( ^ [Y0: a] :
                          ( ( ( X6 @ Y0 )
                            = X7 )
                          & ( X1 @ Y0 ) ) )
                    = ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
                      @ X8 ) ) ) ) ),
    inference(rectify,[],[f5]) ).

thf(f5,plain,
    ~ ! [X0: a > $o,X1: a > $o] :
        ( ? [X2: a > a] :
            ( ! [X3: a] :
                ( ( ( X0 @ X3 )
                  = $true )
               => ( ( X1 @ ( X2 @ X3 ) )
                  = $true ) )
            & ! [X4: a] :
                ( ( ( X1 @ X4 )
                  = $true )
               => ? [X5: a] :
                    ( ( ^ [Y0: a] :
                          ( ( X0 @ Y0 )
                          & ( ( X2 @ Y0 )
                            = X4 ) ) )
                    = ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
                      @ X5 ) ) ) )
       => ? [X9: a > a] :
            ( ! [X10: a] :
                ( ( $true
                  = ( X0 @ X10 ) )
               => ? [X11: a] :
                    ( ( ^ [Y0: a] :
                          ( ( ( X9 @ Y0 )
                            = X10 )
                          & ( X1 @ Y0 ) ) )
                    = ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
                      @ X11 ) ) )
            & ! [X15: a] :
                ( ( ( X1 @ X15 )
                  = $true )
               => ( ( X0 @ ( X9 @ X15 ) )
                  = $true ) ) ) ),
    inference(fool_elimination,[],[f4]) ).

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

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

thf(f1,conjecture,
    ! [X0: a > $o,X1: a > $o] :
      ( ? [X2: a > a] :
          ( ! [X3: a] :
              ( ( X0 @ X3 )
             => ( X1 @ ( X2 @ X3 ) ) )
          & ! [X4: a] :
              ( ( X1 @ X4 )
             => ? [X5: a] :
                  ( ( ^ [X3: a] :
                        ( ( ( X2 @ X3 )
                          = X4 )
                        & ( X0 @ X3 ) ) )
                  = ( ^ [X0: a,X1: a] : ( X0 = X1 )
                    @ X5 ) ) ) )
     => ? [X2: a > a] :
          ( ! [X4: a] :
              ( ( X0 @ X4 )
             => ? [X6: a] :
                  ( ( ^ [X0: a,X1: a] : ( X0 = X1 )
                    @ X6 )
                  = ( ^ [X3: a] :
                        ( ( X1 @ X3 )
                        & ( ( X2 @ X3 )
                          = X4 ) ) ) ) )
          & ! [X3: a] :
              ( ( X1 @ X3 )
             => ( X0 @ ( X2 @ X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEQP_1B_pme) ).

thf(f1100,plain,
    ( ( $false
      = ( sK0 @ ( sK5 @ sK3 ) ) )
    | spl6_3
    | spl6_19 ),
    inference(subsumption_resolution,[],[f1099,f111]) ).

thf(f1099,plain,
    ( ( $false
      = ( sK0 @ ( sK5 @ sK3 ) ) )
    | ( $true
      = ( sK1 @ ( sK4 @ sK3 ) ) )
    | spl6_19 ),
    inference(trivial_inequality_removal,[],[f1098]) ).

thf(f1098,plain,
    ( ( $true
      = ( sK1 @ ( sK4 @ sK3 ) ) )
    | ( $false
      = ( sK0 @ ( sK5 @ sK3 ) ) )
    | ( ( sK5 @ sK3 )
     != ( sK5 @ sK3 ) )
    | spl6_19 ),
    inference(superposition,[],[f965,f70]) ).

thf(f70,plain,
    ! [X0: a > a] :
      ( ( ( sK3 @ ( sK2 @ ( sK5 @ X0 ) ) )
        = ( sK5 @ X0 ) )
      | ( $false
        = ( sK0 @ ( sK5 @ X0 ) ) )
      | ( $true
        = ( sK1 @ ( sK4 @ X0 ) ) ) ),
    inference(equality_resolution,[],[f65]) ).

thf(f65,plain,
    ! [X0: a > a,X1: a] :
      ( ( ( sK2 @ ( sK5 @ X0 ) )
       != ( sK2 @ X1 ) )
      | ( ( sK3 @ ( sK2 @ ( sK5 @ X0 ) ) )
        = X1 )
      | ( $true
        = ( sK1 @ ( sK4 @ X0 ) ) )
      | ( ( sK0 @ X1 )
        = $false ) ),
    inference(equality_proxy_clausification,[],[f64]) ).

thf(f64,plain,
    ! [X0: a > a,X1: a] :
      ( ( ( sK0 @ X1 )
        = $false )
      | ( $true
        = ( sK1 @ ( sK4 @ X0 ) ) )
      | ( ( sK2 @ ( sK5 @ X0 ) )
       != ( sK2 @ X1 ) )
      | ( $true
        = ( ( sK3 @ ( sK2 @ ( sK5 @ X0 ) ) )
          = X1 ) ) ),
    inference(equality_proxy_clausification,[],[f63]) ).

thf(f63,plain,
    ! [X0: a > a,X1: a] :
      ( ( ( sK0 @ X1 )
        = $false )
      | ( $true
        = ( sK1 @ ( sK4 @ X0 ) ) )
      | ( $false
        = ( ( sK2 @ X1 )
          = ( sK2 @ ( sK5 @ X0 ) ) ) )
      | ( $true
        = ( ( sK3 @ ( sK2 @ ( sK5 @ X0 ) ) )
          = X1 ) ) ),
    inference(binary_proxy_clausification,[],[f57]) ).

thf(f57,plain,
    ! [X0: a > a,X1: a] :
      ( ( $true
        = ( sK1 @ ( sK4 @ X0 ) ) )
      | ( $false
        = ( ( sK0 @ X1 )
          & ( ( sK2 @ X1 )
            = ( sK2 @ ( sK5 @ X0 ) ) ) ) )
      | ( $true
        = ( ( sK3 @ ( sK2 @ ( sK5 @ X0 ) ) )
          = X1 ) ) ),
    inference(binary_proxy_clausification,[],[f56]) ).

thf(f56,plain,
    ! [X0: a > a,X1: a] :
      ( ( ( ( sK3 @ ( sK2 @ ( sK5 @ X0 ) ) )
          = X1 )
        = ( ( sK0 @ X1 )
          & ( ( sK2 @ X1 )
            = ( sK2 @ ( sK5 @ X0 ) ) ) ) )
      | ( $true
        = ( sK1 @ ( sK4 @ X0 ) ) ) ),
    inference(beta_eta_normalization,[],[f55]) ).

thf(f55,plain,
    ! [X0: a > a,X1: a] :
      ( ( ( ^ [Y0: a] :
              ( ( sK0 @ Y0 )
              & ( ( sK2 @ Y0 )
                = ( sK2 @ ( sK5 @ X0 ) ) ) )
          @ X1 )
        = ( ( sK3 @ ( sK2 @ ( sK5 @ X0 ) ) )
          = X1 ) )
      | ( $true
        = ( sK1 @ ( sK4 @ X0 ) ) ) ),
    inference(argument_congruence,[],[f27]) ).

thf(f27,plain,
    ! [X0: a > a] :
      ( ( ( ^ [Y0: a] :
              ( ( sK0 @ Y0 )
              & ( ( sK2 @ Y0 )
                = ( sK2 @ ( sK5 @ X0 ) ) ) ) )
        = ( (=) @ ( sK3 @ ( sK2 @ ( sK5 @ X0 ) ) ) ) )
      | ( $true
        = ( sK1 @ ( sK4 @ X0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f26]) ).

thf(f26,plain,
    ! [X0: a > a] :
      ( ( ( ^ [Y0: a] :
              ( ( sK0 @ Y0 )
              & ( ( sK2 @ Y0 )
                = ( sK2 @ ( sK5 @ X0 ) ) ) ) )
        = ( (=) @ ( sK3 @ ( sK2 @ ( sK5 @ X0 ) ) ) ) )
      | ( $true != $true )
      | ( $true
        = ( sK1 @ ( sK4 @ X0 ) ) ) ),
    inference(superposition,[],[f21,f25]) ).

thf(f25,plain,
    ! [X0: a > a] :
      ( ( ( sK1 @ ( sK2 @ ( sK5 @ X0 ) ) )
        = $true )
      | ( $true
        = ( sK1 @ ( sK4 @ X0 ) ) ) ),
    inference(trivial_inequality_removal,[],[f24]) ).

thf(f24,plain,
    ! [X0: a > a] :
      ( ( $true
        = ( sK1 @ ( sK4 @ X0 ) ) )
      | ( ( sK1 @ ( sK2 @ ( sK5 @ X0 ) ) )
        = $true )
      | ( $true != $true ) ),
    inference(superposition,[],[f20,f16]) ).

thf(f20,plain,
    ! [X3: a] :
      ( ( $true
       != ( sK0 @ X3 ) )
      | ( $true
        = ( sK1 @ ( sK2 @ X3 ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f21,plain,
    ! [X4: a] :
      ( ( ( sK1 @ X4 )
       != $true )
      | ( ( (=) @ ( sK3 @ X4 ) )
        = ( ^ [Y0: a] :
              ( ( sK0 @ Y0 )
              & ( ( sK2 @ Y0 )
                = X4 ) ) ) ) ),
    inference(beta_eta_normalization,[],[f19]) ).

thf(f19,plain,
    ! [X4: a] :
      ( ( ( sK1 @ X4 )
       != $true )
      | ( ( ^ [Y0: a] :
              ( ( sK0 @ Y0 )
              & ( ( sK2 @ Y0 )
                = X4 ) ) )
        = ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
          @ ( sK3 @ X4 ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f965,plain,
    ( ( ( sK5 @ sK3 )
     != ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
    | spl6_19 ),
    inference(avatar_component_clause,[],[f964]) ).

thf(f964,plain,
    ( spl6_19
  <=> ( ( sK5 @ sK3 )
      = ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).

thf(f1045,plain,
    ( spl6_5
    | spl6_3
    | ~ spl6_19 ),
    inference(avatar_split_clause,[],[f1044,f964,f110,f117]) ).

thf(f117,plain,
    ( spl6_5
  <=> ! [X1: a] :
        ( ( ( sK5 @ sK3 )
         != X1 )
        | ( ( sK0 @ X1 )
          = $true ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

thf(f1044,plain,
    ( ! [X0: a] :
        ( ( ( sK0 @ X0 )
          = $true )
        | ( ( sK5 @ sK3 )
         != X0 ) )
    | spl6_3
    | ~ spl6_19 ),
    inference(subsumption_resolution,[],[f972,f111]) ).

thf(f972,plain,
    ( ! [X0: a] :
        ( ( ( sK0 @ X0 )
          = $true )
        | ( ( sK5 @ sK3 )
         != X0 )
        | ( $true
          = ( sK1 @ ( sK4 @ sK3 ) ) ) )
    | ~ spl6_19 ),
    inference(superposition,[],[f61,f966]) ).

thf(f966,plain,
    ( ( ( sK5 @ sK3 )
      = ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
    | ~ spl6_19 ),
    inference(avatar_component_clause,[],[f964]) ).

thf(f61,plain,
    ! [X0: a > a,X1: a] :
      ( ( ( sK3 @ ( sK2 @ ( sK5 @ X0 ) ) )
       != X1 )
      | ( $true
        = ( sK1 @ ( sK4 @ X0 ) ) )
      | ( ( sK0 @ X1 )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f59]) ).

thf(f59,plain,
    ! [X0: a > a,X1: a] :
      ( ( $true
        = ( ( sK0 @ X1 )
          & ( ( sK2 @ X1 )
            = ( sK2 @ ( sK5 @ X0 ) ) ) ) )
      | ( $true
        = ( sK1 @ ( sK4 @ X0 ) ) )
      | ( ( sK3 @ ( sK2 @ ( sK5 @ X0 ) ) )
       != X1 ) ),
    inference(equality_proxy_clausification,[],[f58]) ).

thf(f58,plain,
    ! [X0: a > a,X1: a] :
      ( ( $true
        = ( sK1 @ ( sK4 @ X0 ) ) )
      | ( $false
        = ( ( sK3 @ ( sK2 @ ( sK5 @ X0 ) ) )
          = X1 ) )
      | ( $true
        = ( ( sK0 @ X1 )
          & ( ( sK2 @ X1 )
            = ( sK2 @ ( sK5 @ X0 ) ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f56]) ).

thf(f1043,plain,
    ( spl6_3
    | ~ spl6_5
    | ~ spl6_17
    | ~ spl6_19 ),
    inference(avatar_contradiction_clause,[],[f1042]) ).

thf(f1042,plain,
    ( $false
    | spl6_3
    | ~ spl6_5
    | ~ spl6_17
    | ~ spl6_19 ),
    inference(trivial_inequality_removal,[],[f1041]) ).

thf(f1041,plain,
    ( ( $false = $true )
    | spl6_3
    | ~ spl6_5
    | ~ spl6_17
    | ~ spl6_19 ),
    inference(backward_demodulation,[],[f902,f1040]) ).

thf(f1040,plain,
    ( ( $false
      = ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
    | spl6_3
    | ~ spl6_17
    | ~ spl6_19 ),
    inference(subsumption_resolution,[],[f1039,f111]) ).

thf(f1039,plain,
    ( ( $false
      = ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
    | ( $true
      = ( sK1 @ ( sK4 @ sK3 ) ) )
    | ~ spl6_17
    | ~ spl6_19 ),
    inference(subsumption_resolution,[],[f1038,f966]) ).

thf(f1038,plain,
    ( ( ( sK5 @ sK3 )
     != ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
    | ( $true
      = ( sK1 @ ( sK4 @ sK3 ) ) )
    | ( $false
      = ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
    | ~ spl6_17 ),
    inference(trivial_inequality_removal,[],[f1002]) ).

thf(f1002,plain,
    ( ( $false
      = ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
    | ( $true
      = ( sK1 @ ( sK4 @ sK3 ) ) )
    | ( ( sK2 @ ( sK5 @ sK3 ) )
     != ( sK2 @ ( sK5 @ sK3 ) ) )
    | ( ( sK5 @ sK3 )
     != ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
    | ~ spl6_17 ),
    inference(superposition,[],[f34,f1001]) ).

thf(f1001,plain,
    ( ( ( sK8 @ ( sK2 @ ( sK5 @ sK3 ) ) @ sK3 )
      = ( sK2 @ ( sK5 @ sK3 ) ) )
    | ~ spl6_17 ),
    inference(equality_resolution,[],[f958]) ).

thf(f958,plain,
    ( ! [X0: a] :
        ( ( ( sK2 @ ( sK5 @ sK3 ) )
         != X0 )
        | ( ( sK8 @ X0 @ sK3 )
          = X0 ) )
    | ~ spl6_17 ),
    inference(equality_factoring,[],[f444]) ).

thf(f444,plain,
    ( ! [X0: a] :
        ( ( ( sK2 @ ( sK5 @ sK3 ) )
          = ( sK8 @ X0 @ sK3 ) )
        | ( ( sK8 @ X0 @ sK3 )
          = X0 ) )
    | ~ spl6_17 ),
    inference(avatar_component_clause,[],[f443]) ).

thf(f443,plain,
    ( spl6_17
  <=> ! [X0: a] :
        ( ( ( sK8 @ X0 @ sK3 )
          = X0 )
        | ( ( sK2 @ ( sK5 @ sK3 ) )
          = ( sK8 @ X0 @ sK3 ) ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_17])]) ).

thf(f34,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( X6 @ ( sK8 @ X9 @ X6 ) )
       != ( sK5 @ X6 ) )
      | ( ( sK8 @ X9 @ X6 )
       != X9 )
      | ( $false
        = ( sK1 @ ( sK8 @ X9 @ X6 ) ) )
      | ( ( sK1 @ ( sK4 @ X6 ) )
        = $true ) ),
    inference(equality_proxy_clausification,[],[f33]) ).

thf(f33,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( sK1 @ ( sK4 @ X6 ) )
        = $true )
      | ( ( sK8 @ X9 @ X6 )
       != X9 )
      | ( $false
        = ( sK1 @ ( sK8 @ X9 @ X6 ) ) )
      | ( $false
        = ( ( X6 @ ( sK8 @ X9 @ X6 ) )
          = ( sK5 @ X6 ) ) ) ),
    inference(binary_proxy_clausification,[],[f32]) ).

thf(f32,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( sK8 @ X9 @ X6 )
       != X9 )
      | ( $false
        = ( ( ( X6 @ ( sK8 @ X9 @ X6 ) )
            = ( sK5 @ X6 ) )
          & ( sK1 @ ( sK8 @ X9 @ X6 ) ) ) )
      | ( ( sK1 @ ( sK4 @ X6 ) )
        = $true ) ),
    inference(equality_proxy_clausification,[],[f31]) ).

thf(f31,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( sK1 @ ( sK4 @ X6 ) )
        = $true )
      | ( $false
        = ( X9
          = ( sK8 @ X9 @ X6 ) ) )
      | ( $false
        = ( ( ( X6 @ ( sK8 @ X9 @ X6 ) )
            = ( sK5 @ X6 ) )
          & ( sK1 @ ( sK8 @ X9 @ X6 ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f29]) ).

thf(f29,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( ( ( X6 @ ( sK8 @ X9 @ X6 ) )
            = ( sK5 @ X6 ) )
          & ( sK1 @ ( sK8 @ X9 @ X6 ) ) )
       != ( X9
          = ( sK8 @ X9 @ X6 ) ) )
      | ( ( sK1 @ ( sK4 @ X6 ) )
        = $true ) ),
    inference(beta_eta_normalization,[],[f28]) ).

thf(f28,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( sK1 @ ( sK4 @ X6 ) )
        = $true )
      | ( ( X9
          = ( sK8 @ X9 @ X6 ) )
       != ( ^ [Y0: a] :
              ( ( ( X6 @ Y0 )
                = ( sK5 @ X6 ) )
              & ( sK1 @ Y0 ) )
          @ ( sK8 @ X9 @ X6 ) ) ) ),
    inference(negative_extensionality,[],[f23]) ).

thf(f23,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( ^ [Y0: a] :
              ( ( ( X6 @ Y0 )
                = ( sK5 @ X6 ) )
              & ( sK1 @ Y0 ) ) )
       != ( (=) @ X9 ) )
      | ( ( sK1 @ ( sK4 @ X6 ) )
        = $true ) ),
    inference(beta_eta_normalization,[],[f15]) ).

thf(f15,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
          @ X9 )
       != ( ^ [Y0: a] :
              ( ( ( X6 @ Y0 )
                = ( sK5 @ X6 ) )
              & ( sK1 @ Y0 ) ) ) )
      | ( ( sK1 @ ( sK4 @ X6 ) )
        = $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f902,plain,
    ( ( ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) )
      = $true )
    | ~ spl6_5 ),
    inference(trivial_inequality_removal,[],[f901]) ).

thf(f901,plain,
    ( ( ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) )
      = $true )
    | ( $true != $true )
    | ~ spl6_5 ),
    inference(superposition,[],[f20,f692]) ).

thf(f692,plain,
    ( ( ( sK0 @ ( sK5 @ sK3 ) )
      = $true )
    | ~ spl6_5 ),
    inference(equality_resolution,[],[f118]) ).

thf(f118,plain,
    ( ! [X1: a] :
        ( ( ( sK5 @ sK3 )
         != X1 )
        | ( ( sK0 @ X1 )
          = $true ) )
    | ~ spl6_5 ),
    inference(avatar_component_clause,[],[f117]) ).

thf(f899,plain,
    ~ spl6_3,
    inference(avatar_contradiction_clause,[],[f898]) ).

thf(f898,plain,
    ( $false
    | ~ spl6_3 ),
    inference(trivial_inequality_removal,[],[f897]) ).

thf(f897,plain,
    ( ( $false = $true )
    | ~ spl6_3 ),
    inference(backward_demodulation,[],[f500,f896]) ).

thf(f896,plain,
    ( ( $false
      = ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
    | ~ spl6_3 ),
    inference(subsumption_resolution,[],[f895,f657]) ).

thf(f657,plain,
    ( ( ( sK5 @ sK3 )
      = ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
    | ~ spl6_3 ),
    inference(trivial_inequality_removal,[],[f656]) ).

thf(f656,plain,
    ( ( $false = $true )
    | ( ( sK5 @ sK3 )
      = ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
    | ~ spl6_3 ),
    inference(forward_demodulation,[],[f655,f496]) ).

thf(f496,plain,
    ( ( ( sK0 @ ( sK5 @ sK3 ) )
      = $true )
    | ~ spl6_3 ),
    inference(trivial_inequality_removal,[],[f492]) ).

thf(f492,plain,
    ( ( $true != $true )
    | ( ( sK0 @ ( sK5 @ sK3 ) )
      = $true )
    | ~ spl6_3 ),
    inference(superposition,[],[f18,f488]) ).

thf(f488,plain,
    ( ( $true
      = ( sK0 @ ( sK3 @ ( sK4 @ sK3 ) ) ) )
    | ~ spl6_3 ),
    inference(equality_resolution,[],[f478]) ).

thf(f478,plain,
    ( ! [X1: a] :
        ( ( ( sK3 @ ( sK4 @ sK3 ) )
         != X1 )
        | ( ( sK0 @ X1 )
          = $true ) )
    | ~ spl6_3 ),
    inference(binary_proxy_clausification,[],[f476]) ).

thf(f476,plain,
    ( ! [X1: a] :
        ( ( ( sK3 @ ( sK4 @ sK3 ) )
         != X1 )
        | ( $true
          = ( ( sK0 @ X1 )
            & ( ( sK2 @ X1 )
              = ( sK4 @ sK3 ) ) ) ) )
    | ~ spl6_3 ),
    inference(equality_proxy_clausification,[],[f475]) ).

thf(f475,plain,
    ( ! [X1: a] :
        ( ( $false
          = ( ( sK3 @ ( sK4 @ sK3 ) )
            = X1 ) )
        | ( $true
          = ( ( sK0 @ X1 )
            & ( ( sK2 @ X1 )
              = ( sK4 @ sK3 ) ) ) ) )
    | ~ spl6_3 ),
    inference(binary_proxy_clausification,[],[f473]) ).

thf(f473,plain,
    ( ! [X1: a] :
        ( ( ( sK3 @ ( sK4 @ sK3 ) )
          = X1 )
        = ( ( sK0 @ X1 )
          & ( ( sK2 @ X1 )
            = ( sK4 @ sK3 ) ) ) )
    | ~ spl6_3 ),
    inference(beta_eta_normalization,[],[f472]) ).

thf(f472,plain,
    ( ! [X1: a] :
        ( ( ^ [Y0: a] :
              ( ( sK0 @ Y0 )
              & ( ( sK2 @ Y0 )
                = ( sK4 @ sK3 ) ) )
          @ X1 )
        = ( ( sK3 @ ( sK4 @ sK3 ) )
          = X1 ) )
    | ~ spl6_3 ),
    inference(argument_congruence,[],[f448]) ).

thf(f448,plain,
    ( ( ( ^ [Y0: a] :
            ( ( sK0 @ Y0 )
            & ( ( sK2 @ Y0 )
              = ( sK4 @ sK3 ) ) ) )
      = ( (=) @ ( sK3 @ ( sK4 @ sK3 ) ) ) )
    | ~ spl6_3 ),
    inference(trivial_inequality_removal,[],[f447]) ).

thf(f447,plain,
    ( ( ( ^ [Y0: a] :
            ( ( sK0 @ Y0 )
            & ( ( sK2 @ Y0 )
              = ( sK4 @ sK3 ) ) ) )
      = ( (=) @ ( sK3 @ ( sK4 @ sK3 ) ) ) )
    | ( $true != $true )
    | ~ spl6_3 ),
    inference(superposition,[],[f21,f112]) ).

thf(f112,plain,
    ( ( $true
      = ( sK1 @ ( sK4 @ sK3 ) ) )
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f110]) ).

thf(f18,plain,
    ! [X6: a > a] :
      ( ( ( sK0 @ ( X6 @ ( sK4 @ X6 ) ) )
       != $true )
      | ( $true
        = ( sK0 @ ( sK5 @ X6 ) ) ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f655,plain,
    ( ( ( sK5 @ sK3 )
      = ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
    | ( $false
      = ( sK0 @ ( sK5 @ sK3 ) ) )
    | ~ spl6_3 ),
    inference(equality_resolution,[],[f552]) ).

thf(f552,plain,
    ( ! [X1: a] :
        ( ( ( sK2 @ ( sK5 @ sK3 ) )
         != ( sK2 @ X1 ) )
        | ( ( sK0 @ X1 )
          = $false )
        | ( ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) )
          = X1 ) )
    | ~ spl6_3 ),
    inference(equality_proxy_clausification,[],[f551]) ).

thf(f551,plain,
    ( ! [X1: a] :
        ( ( $true
          = ( ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) )
            = X1 ) )
        | ( ( sK0 @ X1 )
          = $false )
        | ( ( sK2 @ ( sK5 @ sK3 ) )
         != ( sK2 @ X1 ) ) )
    | ~ spl6_3 ),
    inference(equality_proxy_clausification,[],[f550]) ).

thf(f550,plain,
    ( ! [X1: a] :
        ( ( ( sK0 @ X1 )
          = $false )
        | ( $false
          = ( ( sK2 @ X1 )
            = ( sK2 @ ( sK5 @ sK3 ) ) ) )
        | ( $true
          = ( ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) )
            = X1 ) ) )
    | ~ spl6_3 ),
    inference(binary_proxy_clausification,[],[f549]) ).

thf(f549,plain,
    ( ! [X1: a] :
        ( ( $false
          = ( ( sK0 @ X1 )
            & ( ( sK2 @ X1 )
              = ( sK2 @ ( sK5 @ sK3 ) ) ) ) )
        | ( $true
          = ( ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) )
            = X1 ) ) )
    | ~ spl6_3 ),
    inference(binary_proxy_clausification,[],[f547]) ).

thf(f547,plain,
    ( ! [X1: a] :
        ( ( ( sK0 @ X1 )
          & ( ( sK2 @ X1 )
            = ( sK2 @ ( sK5 @ sK3 ) ) ) )
        = ( ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) )
          = X1 ) )
    | ~ spl6_3 ),
    inference(beta_eta_normalization,[],[f546]) ).

thf(f546,plain,
    ( ! [X1: a] :
        ( ( ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) )
          = X1 )
        = ( ^ [Y0: a] :
              ( ( sK0 @ Y0 )
              & ( ( sK2 @ Y0 )
                = ( sK2 @ ( sK5 @ sK3 ) ) ) )
          @ X1 ) )
    | ~ spl6_3 ),
    inference(argument_congruence,[],[f502]) ).

thf(f502,plain,
    ( ( ( ^ [Y0: a] :
            ( ( sK0 @ Y0 )
            & ( ( sK2 @ Y0 )
              = ( sK2 @ ( sK5 @ sK3 ) ) ) ) )
      = ( (=) @ ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) ) )
    | ~ spl6_3 ),
    inference(trivial_inequality_removal,[],[f501]) ).

thf(f501,plain,
    ( ( ( ^ [Y0: a] :
            ( ( sK0 @ Y0 )
            & ( ( sK2 @ Y0 )
              = ( sK2 @ ( sK5 @ sK3 ) ) ) ) )
      = ( (=) @ ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) ) )
    | ( $true != $true )
    | ~ spl6_3 ),
    inference(superposition,[],[f21,f500]) ).

thf(f895,plain,
    ( ( $false
      = ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
    | ( ( sK5 @ sK3 )
     != ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
    | ~ spl6_3 ),
    inference(subsumption_resolution,[],[f894,f488]) ).

thf(f894,plain,
    ( ( $false
      = ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
    | ( $true
     != ( sK0 @ ( sK3 @ ( sK4 @ sK3 ) ) ) )
    | ( ( sK5 @ sK3 )
     != ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
    | ~ spl6_3 ),
    inference(trivial_inequality_removal,[],[f886]) ).

thf(f886,plain,
    ( ( $true
     != ( sK0 @ ( sK3 @ ( sK4 @ sK3 ) ) ) )
    | ( ( sK2 @ ( sK5 @ sK3 ) )
     != ( sK2 @ ( sK5 @ sK3 ) ) )
    | ( ( sK5 @ sK3 )
     != ( sK3 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
    | ( $false
      = ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) ) )
    | ~ spl6_3 ),
    inference(superposition,[],[f45,f872]) ).

thf(f872,plain,
    ( ( ( sK2 @ ( sK5 @ sK3 ) )
      = ( sK9 @ ( sK2 @ ( sK5 @ sK3 ) ) @ sK3 ) )
    | ~ spl6_3 ),
    inference(equality_resolution,[],[f858]) ).

thf(f858,plain,
    ( ! [X0: a] :
        ( ( ( sK2 @ ( sK5 @ sK3 ) )
         != X0 )
        | ( ( sK9 @ X0 @ sK3 )
          = X0 ) )
    | ~ spl6_3 ),
    inference(equality_factoring,[],[f834]) ).

thf(f834,plain,
    ( ! [X0: a] :
        ( ( ( sK9 @ X0 @ sK3 )
          = ( sK2 @ ( sK5 @ sK3 ) ) )
        | ( ( sK9 @ X0 @ sK3 )
          = X0 ) )
    | ~ spl6_3 ),
    inference(equality_resolution,[],[f823]) ).

thf(f823,plain,
    ( ! [X0: a,X1: a] :
        ( ( ( sK5 @ sK3 )
         != X1 )
        | ( ( sK9 @ X0 @ sK3 )
          = X0 )
        | ( ( sK9 @ X0 @ sK3 )
          = ( sK2 @ X1 ) ) )
    | ~ spl6_3 ),
    inference(duplicate_literal_removal,[],[f821]) ).

thf(f821,plain,
    ( ! [X0: a,X1: a] :
        ( ( ( sK5 @ sK3 )
         != X1 )
        | ( ( sK9 @ X0 @ sK3 )
          = X0 )
        | ( ( sK9 @ X0 @ sK3 )
          = X0 )
        | ( ( sK9 @ X0 @ sK3 )
          = ( sK2 @ X1 ) ) )
    | ~ spl6_3 ),
    inference(superposition,[],[f617,f495]) ).

thf(f495,plain,
    ( ! [X0: a] :
        ( ( ( sK3 @ ( sK9 @ X0 @ sK3 ) )
          = ( sK5 @ sK3 ) )
        | ( ( sK9 @ X0 @ sK3 )
          = X0 ) )
    | ~ spl6_3 ),
    inference(trivial_inequality_removal,[],[f490]) ).

thf(f490,plain,
    ( ! [X0: a] :
        ( ( ( sK9 @ X0 @ sK3 )
          = X0 )
        | ( $true != $true )
        | ( ( sK3 @ ( sK9 @ X0 @ sK3 ) )
          = ( sK5 @ sK3 ) ) )
    | ~ spl6_3 ),
    inference(superposition,[],[f49,f488]) ).

thf(f49,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( sK0 @ ( X6 @ ( sK4 @ X6 ) ) )
       != $true )
      | ( ( sK9 @ X9 @ X6 )
        = X9 )
      | ( ( sK5 @ X6 )
        = ( X6 @ ( sK9 @ X9 @ X6 ) ) ) ),
    inference(equality_proxy_clausification,[],[f48]) ).

thf(f48,plain,
    ! [X6: a > a,X9: a] :
      ( ( $true
        = ( ( X6 @ ( sK9 @ X9 @ X6 ) )
          = ( sK5 @ X6 ) ) )
      | ( ( sK0 @ ( X6 @ ( sK4 @ X6 ) ) )
       != $true )
      | ( ( sK9 @ X9 @ X6 )
        = X9 ) ),
    inference(equality_proxy_clausification,[],[f47]) ).

thf(f47,plain,
    ! [X6: a > a,X9: a] :
      ( ( $true
        = ( X9
          = ( sK9 @ X9 @ X6 ) ) )
      | ( ( sK0 @ ( X6 @ ( sK4 @ X6 ) ) )
       != $true )
      | ( $true
        = ( ( X6 @ ( sK9 @ X9 @ X6 ) )
          = ( sK5 @ X6 ) ) ) ),
    inference(binary_proxy_clausification,[],[f41]) ).

thf(f41,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( ( ( X6 @ ( sK9 @ X9 @ X6 ) )
            = ( sK5 @ X6 ) )
          & ( sK1 @ ( sK9 @ X9 @ X6 ) ) )
        = $true )
      | ( $true
        = ( X9
          = ( sK9 @ X9 @ X6 ) ) )
      | ( ( sK0 @ ( X6 @ ( sK4 @ X6 ) ) )
       != $true ) ),
    inference(binary_proxy_clausification,[],[f40]) ).

thf(f40,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( sK0 @ ( X6 @ ( sK4 @ X6 ) ) )
       != $true )
      | ( ( ( ( X6 @ ( sK9 @ X9 @ X6 ) )
            = ( sK5 @ X6 ) )
          & ( sK1 @ ( sK9 @ X9 @ X6 ) ) )
       != ( X9
          = ( sK9 @ X9 @ X6 ) ) ) ),
    inference(beta_eta_normalization,[],[f39]) ).

thf(f39,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( X9
          = ( sK9 @ X9 @ X6 ) )
       != ( ^ [Y0: a] :
              ( ( ( X6 @ Y0 )
                = ( sK5 @ X6 ) )
              & ( sK1 @ Y0 ) )
          @ ( sK9 @ X9 @ X6 ) ) )
      | ( ( sK0 @ ( X6 @ ( sK4 @ X6 ) ) )
       != $true ) ),
    inference(negative_extensionality,[],[f22]) ).

thf(f22,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( ^ [Y0: a] :
              ( ( ( X6 @ Y0 )
                = ( sK5 @ X6 ) )
              & ( sK1 @ Y0 ) ) )
       != ( (=) @ X9 ) )
      | ( ( sK0 @ ( X6 @ ( sK4 @ X6 ) ) )
       != $true ) ),
    inference(beta_eta_normalization,[],[f17]) ).

thf(f17,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( ^ [Y0: a,Y1: a] : ( Y0 = Y1 )
          @ X9 )
       != ( ^ [Y0: a] :
              ( ( ( X6 @ Y0 )
                = ( sK5 @ X6 ) )
              & ( sK1 @ Y0 ) ) ) )
      | ( ( sK0 @ ( X6 @ ( sK4 @ X6 ) ) )
       != $true ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f617,plain,
    ( ! [X0: a,X1: a] :
        ( ( ( sK3 @ ( sK9 @ X0 @ sK3 ) )
         != X1 )
        | ( ( sK9 @ X0 @ sK3 )
          = ( sK2 @ X1 ) )
        | ( ( sK9 @ X0 @ sK3 )
          = X0 ) )
    | ~ spl6_3 ),
    inference(equality_proxy_clausification,[],[f616]) ).

thf(f616,plain,
    ( ! [X0: a,X1: a] :
        ( ( ( sK9 @ X0 @ sK3 )
          = ( sK2 @ X1 ) )
        | ( $false
          = ( ( sK3 @ ( sK9 @ X0 @ sK3 ) )
            = X1 ) )
        | ( ( sK9 @ X0 @ sK3 )
          = X0 ) )
    | ~ spl6_3 ),
    inference(equality_proxy_clausification,[],[f613]) ).

thf(f613,plain,
    ( ! [X0: a,X1: a] :
        ( ( ( ( sK2 @ X1 )
            = ( sK9 @ X0 @ sK3 ) )
          = $true )
        | ( ( sK9 @ X0 @ sK3 )
          = X0 )
        | ( $false
          = ( ( sK3 @ ( sK9 @ X0 @ sK3 ) )
            = X1 ) ) )
    | ~ spl6_3 ),
    inference(binary_proxy_clausification,[],[f608]) ).

thf(f608,plain,
    ( ! [X0: a,X1: a] :
        ( ( ( ( sK0 @ X1 )
            & ( ( sK2 @ X1 )
              = ( sK9 @ X0 @ sK3 ) ) )
          = $true )
        | ( $false
          = ( ( sK3 @ ( sK9 @ X0 @ sK3 ) )
            = X1 ) )
        | ( ( sK9 @ X0 @ sK3 )
          = X0 ) )
    | ~ spl6_3 ),
    inference(binary_proxy_clausification,[],[f607]) ).

thf(f607,plain,
    ( ! [X0: a,X1: a] :
        ( ( ( ( sK0 @ X1 )
            & ( ( sK2 @ X1 )
              = ( sK9 @ X0 @ sK3 ) ) )
          = ( ( sK3 @ ( sK9 @ X0 @ sK3 ) )
            = X1 ) )
        | ( ( sK9 @ X0 @ sK3 )
          = X0 ) )
    | ~ spl6_3 ),
    inference(beta_eta_normalization,[],[f606]) ).

thf(f606,plain,
    ( ! [X0: a,X1: a] :
        ( ( ( sK9 @ X0 @ sK3 )
          = X0 )
        | ( ( ( sK3 @ ( sK9 @ X0 @ sK3 ) )
            = X1 )
          = ( ^ [Y0: a] :
                ( ( sK0 @ Y0 )
                & ( ( sK2 @ Y0 )
                  = ( sK9 @ X0 @ sK3 ) ) )
            @ X1 ) ) )
    | ~ spl6_3 ),
    inference(argument_congruence,[],[f514]) ).

thf(f514,plain,
    ( ! [X0: a] :
        ( ( ( ^ [Y0: a] :
                ( ( sK0 @ Y0 )
                & ( ( sK2 @ Y0 )
                  = ( sK9 @ X0 @ sK3 ) ) ) )
          = ( (=) @ ( sK3 @ ( sK9 @ X0 @ sK3 ) ) ) )
        | ( ( sK9 @ X0 @ sK3 )
          = X0 ) )
    | ~ spl6_3 ),
    inference(trivial_inequality_removal,[],[f513]) ).

thf(f513,plain,
    ( ! [X0: a] :
        ( ( $true != $true )
        | ( ( sK9 @ X0 @ sK3 )
          = X0 )
        | ( ( ^ [Y0: a] :
                ( ( sK0 @ Y0 )
                & ( ( sK2 @ Y0 )
                  = ( sK9 @ X0 @ sK3 ) ) ) )
          = ( (=) @ ( sK3 @ ( sK9 @ X0 @ sK3 ) ) ) ) )
    | ~ spl6_3 ),
    inference(superposition,[],[f21,f494]) ).

thf(f494,plain,
    ( ! [X0: a] :
        ( ( ( sK1 @ ( sK9 @ X0 @ sK3 ) )
          = $true )
        | ( ( sK9 @ X0 @ sK3 )
          = X0 ) )
    | ~ spl6_3 ),
    inference(trivial_inequality_removal,[],[f491]) ).

thf(f491,plain,
    ( ! [X0: a] :
        ( ( ( sK1 @ ( sK9 @ X0 @ sK3 ) )
          = $true )
        | ( ( sK9 @ X0 @ sK3 )
          = X0 )
        | ( $true != $true ) )
    | ~ spl6_3 ),
    inference(superposition,[],[f50,f488]) ).

thf(f50,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( sK0 @ ( X6 @ ( sK4 @ X6 ) ) )
       != $true )
      | ( ( sK9 @ X9 @ X6 )
        = X9 )
      | ( ( sK1 @ ( sK9 @ X9 @ X6 ) )
        = $true ) ),
    inference(equality_proxy_clausification,[],[f46]) ).

thf(f46,plain,
    ! [X6: a > a,X9: a] :
      ( ( $true
        = ( X9
          = ( sK9 @ X9 @ X6 ) ) )
      | ( ( sK0 @ ( X6 @ ( sK4 @ X6 ) ) )
       != $true )
      | ( ( sK1 @ ( sK9 @ X9 @ X6 ) )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f41]) ).

thf(f45,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( sK5 @ X6 )
       != ( X6 @ ( sK9 @ X9 @ X6 ) ) )
      | ( ( sK9 @ X9 @ X6 )
       != X9 )
      | ( ( sK1 @ ( sK9 @ X9 @ X6 ) )
        = $false )
      | ( ( sK0 @ ( X6 @ ( sK4 @ X6 ) ) )
       != $true ) ),
    inference(equality_proxy_clausification,[],[f44]) ).

thf(f44,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( sK1 @ ( sK9 @ X9 @ X6 ) )
        = $false )
      | ( ( sK9 @ X9 @ X6 )
       != X9 )
      | ( $false
        = ( ( X6 @ ( sK9 @ X9 @ X6 ) )
          = ( sK5 @ X6 ) ) )
      | ( ( sK0 @ ( X6 @ ( sK4 @ X6 ) ) )
       != $true ) ),
    inference(equality_proxy_clausification,[],[f43]) ).

thf(f43,plain,
    ! [X6: a > a,X9: a] :
      ( ( $false
        = ( X9
          = ( sK9 @ X9 @ X6 ) ) )
      | ( $false
        = ( ( X6 @ ( sK9 @ X9 @ X6 ) )
          = ( sK5 @ X6 ) ) )
      | ( ( sK0 @ ( X6 @ ( sK4 @ X6 ) ) )
       != $true )
      | ( ( sK1 @ ( sK9 @ X9 @ X6 ) )
        = $false ) ),
    inference(binary_proxy_clausification,[],[f42]) ).

thf(f42,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( sK0 @ ( X6 @ ( sK4 @ X6 ) ) )
       != $true )
      | ( $false
        = ( ( ( X6 @ ( sK9 @ X9 @ X6 ) )
            = ( sK5 @ X6 ) )
          & ( sK1 @ ( sK9 @ X9 @ X6 ) ) ) )
      | ( $false
        = ( X9
          = ( sK9 @ X9 @ X6 ) ) ) ),
    inference(binary_proxy_clausification,[],[f40]) ).

thf(f500,plain,
    ( ( ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) )
      = $true )
    | ~ spl6_3 ),
    inference(trivial_inequality_removal,[],[f499]) ).

thf(f499,plain,
    ( ( $true != $true )
    | ( ( sK1 @ ( sK2 @ ( sK5 @ sK3 ) ) )
      = $true )
    | ~ spl6_3 ),
    inference(superposition,[],[f20,f496]) ).

thf(f445,plain,
    ( spl6_3
    | spl6_17 ),
    inference(avatar_split_clause,[],[f158,f443,f110]) ).

thf(f158,plain,
    ! [X0: a] :
      ( ( $true
        = ( sK1 @ ( sK4 @ sK3 ) ) )
      | ( ( sK8 @ X0 @ sK3 )
        = X0 )
      | ( ( sK2 @ ( sK5 @ sK3 ) )
        = ( sK8 @ X0 @ sK3 ) ) ),
    inference(duplicate_literal_removal,[],[f153]) ).

thf(f153,plain,
    ! [X0: a] :
      ( ( $true
        = ( sK1 @ ( sK4 @ sK3 ) ) )
      | ( ( sK8 @ X0 @ sK3 )
        = X0 )
      | ( ( sK2 @ ( sK5 @ sK3 ) )
        = ( sK8 @ X0 @ sK3 ) )
      | ( $true
        = ( sK1 @ ( sK4 @ sK3 ) ) )
      | ( ( sK8 @ X0 @ sK3 )
        = X0 ) ),
    inference(superposition,[],[f129,f38]) ).

thf(f38,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( X6 @ ( sK8 @ X9 @ X6 ) )
        = ( sK5 @ X6 ) )
      | ( ( sK8 @ X9 @ X6 )
        = X9 )
      | ( ( sK1 @ ( sK4 @ X6 ) )
        = $true ) ),
    inference(equality_proxy_clausification,[],[f37]) ).

thf(f37,plain,
    ! [X6: a > a,X9: a] :
      ( ( $true
        = ( ( X6 @ ( sK8 @ X9 @ X6 ) )
          = ( sK5 @ X6 ) ) )
      | ( ( sK8 @ X9 @ X6 )
        = X9 )
      | ( ( sK1 @ ( sK4 @ X6 ) )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f35]) ).

thf(f35,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( sK1 @ ( sK4 @ X6 ) )
        = $true )
      | ( ( ( ( X6 @ ( sK8 @ X9 @ X6 ) )
            = ( sK5 @ X6 ) )
          & ( sK1 @ ( sK8 @ X9 @ X6 ) ) )
        = $true )
      | ( ( sK8 @ X9 @ X6 )
        = X9 ) ),
    inference(equality_proxy_clausification,[],[f30]) ).

thf(f30,plain,
    ! [X6: a > a,X9: a] :
      ( ( ( sK1 @ ( sK4 @ X6 ) )
        = $true )
      | ( ( X9
          = ( sK8 @ X9 @ X6 ) )
        = $true )
      | ( ( ( ( X6 @ ( sK8 @ X9 @ X6 ) )
            = ( sK5 @ X6 ) )
          & ( sK1 @ ( sK8 @ X9 @ X6 ) ) )
        = $true ) ),
    inference(binary_proxy_clausification,[],[f29]) ).

thf(f129,plain,
    ! [X0: a > a,X1: a] :
      ( ( ( sK8 @ X1 @ X0 )
        = ( sK2 @ ( sK3 @ ( sK8 @ X1 @ X0 ) ) ) )
      | ( ( sK8 @ X1 @ X0 )
        = X1 )
      | ( $true
        = ( sK1 @ ( sK4 @ X0 ) ) ) ),
    inference(equality_resolution,[],[f88]) ).

thf(f88,plain,
    ! [X2: a,X0: a,X1: a > a] :
      ( ( ( sK3 @ ( sK8 @ X0 @ X1 ) )
       != X2 )
      | ( ( sK1 @ ( sK4 @ X1 ) )
        = $true )
      | ( ( sK8 @ X0 @ X1 )
        = X0 )
      | ( ( sK8 @ X0 @ X1 )
        = ( sK2 @ X2 ) ) ),
    inference(equality_proxy_clausification,[],[f86]) ).

thf(f86,plain,
    ! [X2: a,X0: a,X1: a > a] :
      ( ( ( ( sK2 @ X2 )
          = ( sK8 @ X0 @ X1 ) )
        = $true )
      | ( ( sK1 @ ( sK4 @ X1 ) )
        = $true )
      | ( ( sK3 @ ( sK8 @ X0 @ X1 ) )
       != X2 )
      | ( ( sK8 @ X0 @ X1 )
        = X0 ) ),
    inference(binary_proxy_clausification,[],[f85]) ).

thf(f85,plain,
    ! [X2: a,X0: a,X1: a > a] :
      ( ( ( sK1 @ ( sK4 @ X1 ) )
        = $true )
      | ( $true
        = ( ( sK0 @ X2 )
          & ( ( sK2 @ X2 )
            = ( sK8 @ X0 @ X1 ) ) ) )
      | ( ( sK3 @ ( sK8 @ X0 @ X1 ) )
       != X2 )
      | ( ( sK8 @ X0 @ X1 )
        = X0 ) ),
    inference(equality_proxy_clausification,[],[f84]) ).

thf(f84,plain,
    ! [X2: a,X0: a,X1: a > a] :
      ( ( ( sK8 @ X0 @ X1 )
        = X0 )
      | ( ( sK1 @ ( sK4 @ X1 ) )
        = $true )
      | ( $false
        = ( ( sK3 @ ( sK8 @ X0 @ X1 ) )
          = X2 ) )
      | ( $true
        = ( ( sK0 @ X2 )
          & ( ( sK2 @ X2 )
            = ( sK8 @ X0 @ X1 ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f82]) ).

thf(f82,plain,
    ! [X2: a,X0: a,X1: a > a] :
      ( ( ( ( sK3 @ ( sK8 @ X0 @ X1 ) )
          = X2 )
        = ( ( sK0 @ X2 )
          & ( ( sK2 @ X2 )
            = ( sK8 @ X0 @ X1 ) ) ) )
      | ( ( sK8 @ X0 @ X1 )
        = X0 )
      | ( ( sK1 @ ( sK4 @ X1 ) )
        = $true ) ),
    inference(beta_eta_normalization,[],[f81]) ).

thf(f81,plain,
    ! [X2: a,X0: a,X1: a > a] :
      ( ( ( sK8 @ X0 @ X1 )
        = X0 )
      | ( ( ^ [Y0: a] :
              ( ( sK0 @ Y0 )
              & ( ( sK2 @ Y0 )
                = ( sK8 @ X0 @ X1 ) ) )
          @ X2 )
        = ( ( sK3 @ ( sK8 @ X0 @ X1 ) )
          = X2 ) )
      | ( ( sK1 @ ( sK4 @ X1 ) )
        = $true ) ),
    inference(argument_congruence,[],[f52]) ).

thf(f52,plain,
    ! [X0: a,X1: a > a] :
      ( ( ( ^ [Y0: a] :
              ( ( sK0 @ Y0 )
              & ( ( sK2 @ Y0 )
                = ( sK8 @ X0 @ X1 ) ) ) )
        = ( (=) @ ( sK3 @ ( sK8 @ X0 @ X1 ) ) ) )
      | ( ( sK1 @ ( sK4 @ X1 ) )
        = $true )
      | ( ( sK8 @ X0 @ X1 )
        = X0 ) ),
    inference(trivial_inequality_removal,[],[f51]) ).

thf(f51,plain,
    ! [X0: a,X1: a > a] :
      ( ( ( sK8 @ X0 @ X1 )
        = X0 )
      | ( ( sK1 @ ( sK4 @ X1 ) )
        = $true )
      | ( $true != $true )
      | ( ( ^ [Y0: a] :
              ( ( sK0 @ Y0 )
              & ( ( sK2 @ Y0 )
                = ( sK8 @ X0 @ X1 ) ) ) )
        = ( (=) @ ( sK3 @ ( sK8 @ X0 @ X1 ) ) ) ) ),
    inference(superposition,[],[f21,f36]) ).

thf(f36,plain,
    ! [X6: a > a,X9: a] :
      ( ( $true
        = ( sK1 @ ( sK8 @ X9 @ X6 ) ) )
      | ( ( sK1 @ ( sK4 @ X6 ) )
        = $true )
      | ( ( sK8 @ X9 @ X6 )
        = X9 ) ),
    inference(binary_proxy_clausification,[],[f35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SEV089^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n016.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun May 19 18:42:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_THM_EQU_NAR problem
% 0.15/0.36  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
% 0.15/0.37  % (3115)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.37  % (3115)Instruction limit reached!
% 0.15/0.37  % (3115)------------------------------
% 0.15/0.37  % (3115)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37  % (3115)Termination reason: Unknown
% 0.15/0.37  % (3115)Termination phase: Saturation
% 0.15/0.37  
% 0.15/0.37  % (3115)Memory used [KB]: 5500
% 0.15/0.37  % (3115)Time elapsed: 0.002 s
% 0.15/0.37  % (3115)Instructions burned: 3 (million)
% 0.15/0.37  % (3115)------------------------------
% 0.15/0.37  % (3115)------------------------------
% 0.15/0.38  % (3112)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.38  % (3113)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)
% 0.15/0.38  % (3114)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)
% 0.15/0.38  % (3116)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)
% 0.15/0.38  % (3117)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)
% 0.15/0.38  % (3118)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.38  % (3119)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)
% 0.15/0.38  % (3116)Instruction limit reached!
% 0.15/0.38  % (3116)------------------------------
% 0.15/0.38  % (3116)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (3116)Termination reason: Unknown
% 0.15/0.38  % (3116)Termination phase: Property scanning
% 0.15/0.38  
% 0.15/0.38  % (3116)Memory used [KB]: 895
% 0.15/0.38  % (3116)Time elapsed: 0.003 s
% 0.15/0.38  % (3116)Instructions burned: 2 (million)
% 0.15/0.38  % (3116)------------------------------
% 0.15/0.38  % (3116)------------------------------
% 0.15/0.38  % (3119)Instruction limit reached!
% 0.15/0.38  % (3119)------------------------------
% 0.15/0.38  % (3119)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (3119)Termination reason: Unknown
% 0.15/0.38  % (3119)Termination phase: Saturation
% 0.15/0.38  
% 0.15/0.38  % (3119)Memory used [KB]: 5500
% 0.15/0.38  % (3119)Time elapsed: 0.004 s
% 0.15/0.38  % (3119)Instructions burned: 3 (million)
% 0.15/0.38  % (3119)------------------------------
% 0.15/0.38  % (3119)------------------------------
% 0.15/0.38  % (3113)Instruction limit reached!
% 0.15/0.38  % (3113)------------------------------
% 0.15/0.38  % (3113)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38  % (3113)Termination reason: Unknown
% 0.15/0.38  % (3113)Termination phase: Saturation
% 0.15/0.38  
% 0.15/0.38  % (3113)Memory used [KB]: 5500
% 0.15/0.38  % (3113)Time elapsed: 0.005 s
% 0.15/0.38  % (3113)Instructions burned: 4 (million)
% 0.15/0.38  % (3120)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)
% 0.15/0.38  % (3113)------------------------------
% 0.15/0.38  % (3113)------------------------------
% 0.15/0.39  % (3118)Instruction limit reached!
% 0.15/0.39  % (3118)------------------------------
% 0.15/0.39  % (3118)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (3118)Termination reason: Unknown
% 0.15/0.39  % (3118)Termination phase: Saturation
% 0.15/0.39  
% 0.15/0.39  % (3118)Memory used [KB]: 5628
% 0.15/0.39  % (3118)Time elapsed: 0.014 s
% 0.15/0.39  % (3118)Instructions burned: 18 (million)
% 0.15/0.39  % (3118)------------------------------
% 0.15/0.39  % (3118)------------------------------
% 0.15/0.39  % (3120)Instruction limit reached!
% 0.15/0.39  % (3120)------------------------------
% 0.15/0.39  % (3120)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39  % (3120)Termination reason: Unknown
% 0.15/0.39  % (3120)Termination phase: Saturation
% 0.15/0.39  
% 0.15/0.39  % (3120)Memory used [KB]: 6012
% 0.15/0.39  % (3120)Time elapsed: 0.012 s
% 0.15/0.39  % (3120)Instructions burned: 39 (million)
% 0.15/0.39  % (3120)------------------------------
% 0.15/0.39  % (3120)------------------------------
% 0.15/0.39  % (3121)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)
% 0.15/0.39  % (3122)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)
% 0.15/0.39  % (3123)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)
% 0.15/0.40  % (3122)Instruction limit reached!
% 0.15/0.40  % (3122)------------------------------
% 0.15/0.40  % (3122)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (3122)Termination reason: Unknown
% 0.15/0.40  % (3122)Termination phase: Saturation
% 0.15/0.40  
% 0.15/0.40  % (3122)Memory used [KB]: 5500
% 0.15/0.40  % (3122)Time elapsed: 0.004 s
% 0.15/0.40  % (3122)Instructions burned: 3 (million)
% 0.15/0.40  % (3122)------------------------------
% 0.15/0.40  % (3122)------------------------------
% 0.21/0.40  % (3114)Instruction limit reached!
% 0.21/0.40  % (3114)------------------------------
% 0.21/0.40  % (3114)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (3114)Termination reason: Unknown
% 0.21/0.40  % (3114)Termination phase: Saturation
% 0.21/0.40  
% 0.21/0.40  % (3114)Memory used [KB]: 5628
% 0.21/0.40  % (3114)Time elapsed: 0.022 s
% 0.21/0.40  % (3114)Instructions burned: 28 (million)
% 0.21/0.40  % (3114)------------------------------
% 0.21/0.40  % (3114)------------------------------
% 0.21/0.40  % (3129)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.40  % (3121)Instruction limit reached!
% 0.21/0.40  % (3121)------------------------------
% 0.21/0.40  % (3121)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (3121)Termination reason: Unknown
% 0.21/0.40  % (3121)Termination phase: Saturation
% 0.21/0.40  
% 0.21/0.40  % (3121)Memory used [KB]: 5628
% 0.21/0.40  % (3121)Time elapsed: 0.013 s
% 0.21/0.40  % (3121)Instructions burned: 16 (million)
% 0.21/0.40  % (3121)------------------------------
% 0.21/0.40  % (3121)------------------------------
% 0.21/0.40  % (3129)Instruction limit reached!
% 0.21/0.40  % (3129)------------------------------
% 0.21/0.40  % (3129)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (3129)Termination reason: Unknown
% 0.21/0.40  % (3129)Termination phase: Saturation
% 0.21/0.40  % (3127)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.40  
% 0.21/0.40  % (3129)Memory used [KB]: 5628
% 0.21/0.40  % (3129)Time elapsed: 0.007 s
% 0.21/0.40  % (3129)Instructions burned: 16 (million)
% 0.21/0.40  % (3129)------------------------------
% 0.21/0.40  % (3129)------------------------------
% 0.21/0.41  % (3127)Instruction limit reached!
% 0.21/0.41  % (3127)------------------------------
% 0.21/0.41  % (3127)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (3127)Termination reason: Unknown
% 0.21/0.41  % (3127)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (3127)Memory used [KB]: 1023
% 0.21/0.41  % (3127)Time elapsed: 0.007 s
% 0.21/0.41  % (3127)Instructions burned: 8 (million)
% 0.21/0.41  % (3127)------------------------------
% 0.21/0.41  % (3127)------------------------------
% 0.21/0.41  % (3132)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)
% 0.21/0.41  % (3138)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)
% 0.21/0.41  % (3134)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)
% 0.21/0.41  % (3132)Instruction limit reached!
% 0.21/0.41  % (3132)------------------------------
% 0.21/0.41  % (3132)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (3132)Termination reason: Unknown
% 0.21/0.41  % (3132)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (3132)Memory used [KB]: 1023
% 0.21/0.41  % (3132)Time elapsed: 0.004 s
% 0.21/0.41  % (3132)Instructions burned: 4 (million)
% 0.21/0.41  % (3132)------------------------------
% 0.21/0.41  % (3132)------------------------------
% 0.21/0.41  % (3134)Instruction limit reached!
% 0.21/0.41  % (3134)------------------------------
% 0.21/0.41  % (3134)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (3134)Termination reason: Unknown
% 0.21/0.41  % (3134)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (3134)Memory used [KB]: 1023
% 0.21/0.41  % (3134)Time elapsed: 0.004 s
% 0.21/0.41  % (3134)Instructions burned: 3 (million)
% 0.21/0.41  % (3134)------------------------------
% 0.21/0.41  % (3134)------------------------------
% 0.21/0.41  % (3138)Refutation not found, incomplete strategy
% 0.21/0.41  % (3138)------------------------------
% 0.21/0.41  % (3138)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (3138)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.41  
% 0.21/0.41  
% 0.21/0.41  % (3138)Memory used [KB]: 5500
% 0.21/0.41  % (3138)Time elapsed: 0.003 s
% 0.21/0.41  % (3138)Instructions burned: 5 (million)
% 0.21/0.41  % (3138)------------------------------
% 0.21/0.41  % (3138)------------------------------
% 0.21/0.42  % (3139)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)
% 0.21/0.42  % (3139)Instruction limit reached!
% 0.21/0.42  % (3139)------------------------------
% 0.21/0.42  % (3139)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (3139)Termination reason: Unknown
% 0.21/0.42  % (3139)Termination phase: Saturation
% 0.21/0.42  
% 0.21/0.42  % (3139)Memory used [KB]: 5500
% 0.21/0.42  % (3139)Time elapsed: 0.004 s
% 0.21/0.42  % (3139)Instructions burned: 3 (million)
% 0.21/0.42  % (3139)------------------------------
% 0.21/0.42  % (3139)------------------------------
% 0.21/0.42  % (3147)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.42  % (3142)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.42  % (3147)Instruction limit reached!
% 0.21/0.42  % (3147)------------------------------
% 0.21/0.42  % (3147)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (3147)Termination reason: Unknown
% 0.21/0.42  % (3147)Termination phase: Saturation
% 0.21/0.42  
% 0.21/0.42  % (3147)Memory used [KB]: 5500
% 0.21/0.42  % (3147)Time elapsed: 0.004 s
% 0.21/0.42  % (3147)Instructions burned: 7 (million)
% 0.21/0.42  % (3147)------------------------------
% 0.21/0.42  % (3147)------------------------------
% 0.21/0.43  % (3142)Instruction limit reached!
% 0.21/0.43  % (3142)------------------------------
% 0.21/0.43  % (3142)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (3142)Termination reason: Unknown
% 0.21/0.43  % (3142)Termination phase: Saturation
% 0.21/0.43  
% 0.21/0.43  % (3142)Memory used [KB]: 5500
% 0.21/0.43  % (3142)Time elapsed: 0.005 s
% 0.21/0.43  % (3142)Instructions burned: 4 (million)
% 0.21/0.43  % (3142)------------------------------
% 0.21/0.43  % (3142)------------------------------
% 0.21/0.43  % (3144)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)
% 0.21/0.43  % (3146)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.43  % (3153)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)
% 0.21/0.44  % (3151)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)
% 0.21/0.44  % (3144)Instruction limit reached!
% 0.21/0.44  % (3144)------------------------------
% 0.21/0.44  % (3144)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (3144)Termination reason: Unknown
% 0.21/0.44  % (3144)Termination phase: Saturation
% 0.21/0.44  
% 0.21/0.44  % (3144)Memory used [KB]: 5628
% 0.21/0.44  % (3144)Time elapsed: 0.014 s
% 0.21/0.44  % (3144)Instructions burned: 18 (million)
% 0.21/0.44  % (3144)------------------------------
% 0.21/0.44  % (3144)------------------------------
% 0.21/0.44  % (3153)Instruction limit reached!
% 0.21/0.44  % (3153)------------------------------
% 0.21/0.44  % (3153)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (3153)Termination reason: Unknown
% 0.21/0.44  % (3153)Termination phase: Saturation
% 0.21/0.44  
% 0.21/0.44  % (3153)Memory used [KB]: 5628
% 0.21/0.44  % (3153)Time elapsed: 0.030 s
% 0.21/0.44  % (3153)Instructions burned: 21 (million)
% 0.21/0.44  % (3153)------------------------------
% 0.21/0.44  % (3153)------------------------------
% 0.21/0.44  % (3156)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.44  % (3156)Instruction limit reached!
% 0.21/0.44  % (3156)------------------------------
% 0.21/0.44  % (3156)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44  % (3156)Termination reason: Unknown
% 0.21/0.44  % (3156)Termination phase: Saturation
% 0.21/0.44  
% 0.21/0.44  % (3156)Memory used [KB]: 5500
% 0.21/0.44  % (3156)Time elapsed: 0.005 s
% 0.21/0.44  % (3156)Instructions burned: 5 (million)
% 0.21/0.44  % (3156)------------------------------
% 0.21/0.44  % (3156)------------------------------
% 0.21/0.45  % (3163)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.45  % (3161)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)
% 0.21/0.46  % (3161)Instruction limit reached!
% 0.21/0.46  % (3161)------------------------------
% 0.21/0.46  % (3161)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (3161)Termination reason: Unknown
% 0.21/0.46  % (3161)Termination phase: Saturation
% 0.21/0.46  
% 0.21/0.46  % (3161)Memory used [KB]: 5500
% 0.21/0.46  % (3161)Time elapsed: 0.005 s
% 0.21/0.46  % (3161)Instructions burned: 6 (million)
% 0.21/0.46  % (3161)------------------------------
% 0.21/0.46  % (3161)------------------------------
% 0.21/0.46  % (3166)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.21/0.47  % (3174)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.21/0.48  % (3112)Instruction limit reached!
% 0.21/0.48  % (3112)------------------------------
% 0.21/0.48  % (3112)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48  % (3112)Termination reason: Unknown
% 0.21/0.48  % (3112)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (3112)Memory used [KB]: 5884
% 0.21/0.48  % (3112)Time elapsed: 0.104 s
% 0.21/0.48  % (3112)Instructions burned: 185 (million)
% 0.21/0.48  % (3112)------------------------------
% 0.21/0.48  % (3112)------------------------------
% 0.21/0.48  % (3174)Instruction limit reached!
% 0.21/0.48  % (3174)------------------------------
% 0.21/0.48  % (3174)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48  % (3174)Termination reason: Unknown
% 0.21/0.48  % (3174)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (3174)Memory used [KB]: 5628
% 0.21/0.48  % (3174)Time elapsed: 0.033 s
% 0.21/0.48  % (3174)Instructions burned: 19 (million)
% 0.21/0.48  % (3174)------------------------------
% 0.21/0.48  % (3174)------------------------------
% 0.21/0.49  % (3183)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.49  % (3182)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)
% 0.21/0.50  % (3183)Instruction limit reached!
% 0.21/0.50  % (3183)------------------------------
% 0.21/0.50  % (3183)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50  % (3183)Termination reason: Unknown
% 0.21/0.50  % (3183)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (3183)Memory used [KB]: 5628
% 0.21/0.50  % (3183)Time elapsed: 0.008 s
% 0.21/0.50  % (3183)Instructions burned: 18 (million)
% 0.21/0.50  % (3183)------------------------------
% 0.21/0.50  % (3183)------------------------------
% 0.21/0.50  % (3191)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.50  % (3191)Instruction limit reached!
% 0.21/0.50  % (3191)------------------------------
% 0.21/0.50  % (3191)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50  % (3191)Termination reason: Unknown
% 0.21/0.50  % (3191)Termination phase: Property scanning
% 0.21/0.50  
% 0.21/0.50  % (3191)Memory used [KB]: 1023
% 0.21/0.50  % (3191)Time elapsed: 0.002 s
% 0.21/0.50  % (3191)Instructions burned: 3 (million)
% 0.21/0.50  % (3191)------------------------------
% 0.21/0.50  % (3191)------------------------------
% 0.21/0.51  % (3196)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.52  % (3196)Instruction limit reached!
% 0.21/0.52  % (3196)------------------------------
% 0.21/0.52  % (3196)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52  % (3196)Termination reason: Unknown
% 0.21/0.52  % (3196)Termination phase: Saturation
% 0.21/0.52  
% 0.21/0.52  % (3196)Memory used [KB]: 5628
% 0.21/0.52  % (3196)Time elapsed: 0.012 s
% 0.21/0.52  % (3196)Instructions burned: 30 (million)
% 0.21/0.52  % (3196)------------------------------
% 0.21/0.52  % (3196)------------------------------
% 0.21/0.53  % (3117)Instruction limit reached!
% 0.21/0.53  % (3117)------------------------------
% 0.21/0.53  % (3117)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.53  % (3117)Termination reason: Unknown
% 0.21/0.53  % (3117)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (3117)Memory used [KB]: 6140
% 0.21/0.53  % (3117)Time elapsed: 0.152 s
% 0.21/0.53  % (3117)Instructions burned: 277 (million)
% 0.21/0.53  % (3117)------------------------------
% 0.21/0.53  % (3117)------------------------------
% 0.21/0.53  % (3202)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.21/0.54  % (3206)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.21/0.57  % (3202)Instruction limit reached!
% 0.21/0.57  % (3202)------------------------------
% 0.21/0.57  % (3202)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.57  % (3202)Termination reason: Unknown
% 0.21/0.57  % (3202)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (3202)Memory used [KB]: 6652
% 0.21/0.57  % (3202)Time elapsed: 0.037 s
% 0.21/0.57  % (3202)Instructions burned: 127 (million)
% 0.21/0.57  % (3202)------------------------------
% 0.21/0.57  % (3202)------------------------------
% 0.21/0.58  % (3230)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)
% 0.21/0.58  % (3230)Instruction limit reached!
% 0.21/0.58  % (3230)------------------------------
% 0.21/0.58  % (3230)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.58  % (3230)Termination reason: Unknown
% 0.21/0.58  % (3230)Termination phase: Saturation
% 0.21/0.58  
% 0.21/0.58  % (3230)Memory used [KB]: 5500
% 0.21/0.58  % (3230)Time elapsed: 0.002 s
% 0.21/0.58  % (3230)Instructions burned: 3 (million)
% 0.21/0.58  % (3230)------------------------------
% 0.21/0.58  % (3230)------------------------------
% 0.21/0.58  % (3206)Instruction limit reached!
% 0.21/0.58  % (3206)------------------------------
% 0.21/0.58  % (3206)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.58  % (3206)Termination reason: Unknown
% 0.21/0.58  % (3206)Termination phase: Saturation
% 0.21/0.58  
% 0.21/0.58  % (3206)Memory used [KB]: 5884
% 0.21/0.58  % (3206)Time elapsed: 0.041 s
% 0.21/0.58  % (3206)Instructions burned: 101 (million)
% 0.21/0.58  % (3206)------------------------------
% 0.21/0.58  % (3206)------------------------------
% 0.21/0.59  % (3163)Refutation not found, non-redundant clauses discarded% (3163)------------------------------
% 0.21/0.59  % (3163)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.59  % (3163)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.21/0.59  
% 0.21/0.59  % (3163)Memory used [KB]: 6268
% 0.21/0.59  % (3163)Time elapsed: 0.162 s
% 0.21/0.59  % (3163)Instructions burned: 345 (million)
% 0.21/0.59  % (3163)------------------------------
% 0.21/0.59  % (3163)------------------------------
% 0.21/0.59  % (3241)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)
% 1.89/0.60  % (3241)Instruction limit reached!
% 1.89/0.60  % (3241)------------------------------
% 1.89/0.60  % (3241)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.89/0.60  % (3241)Termination reason: Unknown
% 1.89/0.60  % (3241)Termination phase: Saturation
% 1.89/0.60  
% 1.89/0.60  % (3241)Memory used [KB]: 5628
% 1.89/0.60  % (3241)Time elapsed: 0.009 s
% 1.89/0.60  % (3241)Instructions burned: 20 (million)
% 1.89/0.60  % (3241)------------------------------
% 1.89/0.60  % (3241)------------------------------
% 1.89/0.60  % (3248)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)
% 1.89/0.60  % (3182)First to succeed.
% 1.89/0.60  % (3242)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)
% 1.89/0.60  % (3182)Refutation found. Thanks to Tanya!
% 1.89/0.60  % SZS status Theorem for theBenchmark
% 1.89/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.89/0.60  % (3182)------------------------------
% 1.89/0.60  % (3182)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.89/0.60  % (3182)Termination reason: Refutation
% 1.89/0.60  
% 1.89/0.60  % (3182)Memory used [KB]: 6140
% 1.89/0.60  % (3182)Time elapsed: 0.112 s
% 1.89/0.60  % (3182)Instructions burned: 297 (million)
% 1.89/0.60  % (3182)------------------------------
% 1.89/0.60  % (3182)------------------------------
% 1.89/0.60  % (3111)Success in time 0.236 s
% 1.89/0.60  % Vampire---4.8 exiting
%------------------------------------------------------------------------------