TSTP Solution File: ALG265^2 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ALG265^2 : TPTP v8.2.0. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n013.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 : Mon May 20 18:20:30 EDT 2024

% Result   : Theorem 4.14s 1.03s
% Output   : Refutation 4.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   98 (  72 unt;  24 typ;   0 def)
%            Number of atoms       :  460 ( 134 equ;   0 cnn)
%            Maximal formula atoms :    3 (   6 avg)
%            Number of connectives : 2101 (   8   ~;   0   |;   0   &;1752   @)
%                                         (   0 <=>; 134  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :  199 ( 199   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   28 (  24 usr;  14 con; 0-4 aty)
%                                         ( 207  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  328 ( 267   ^  60   !;   0   ?; 328   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

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

thf(type_def_7,type,
    subst: $tType ).

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

thf(func_def_1,type,
    subst: $tType ).

thf(func_def_2,type,
    one: term ).

thf(func_def_3,type,
    ap: term > term > term ).

thf(func_def_4,type,
    lam: term > term ).

thf(func_def_5,type,
    sub: term > subst > term ).

thf(func_def_6,type,
    id: subst ).

thf(func_def_7,type,
    sh: subst ).

thf(func_def_8,type,
    push: term > subst > subst ).

thf(func_def_9,type,
    comp: subst > subst > subst ).

thf(func_def_10,type,
    var: term > $o ).

thf(func_def_18,type,
    hoasap: subst > term > subst > term > term ).

thf(func_def_73,type,
    hoaslam: subst > ( subst > term > term ) > term ).

thf(func_def_86,type,
    hoasinduction_p_and_p_prime: ( subst > term > subst > $o ) > ( term > $o ) > $o ).

thf(func_def_107,type,
    hoasvar: subst > term > subst > $o ).

thf(func_def_121,type,
    pushprop_p_and_p_prime: term > subst > ( term > $o ) > ( term > $o ) > $o ).

thf(func_def_142,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(func_def_143,type,
    sK2: subst > term > subst > $o ).

thf(func_def_144,type,
    sK3: term ).

thf(func_def_145,type,
    sK4: term ).

thf(func_def_146,type,
    sK5: subst ).

thf(func_def_147,type,
    sK6: subst ).

thf(f752,plain,
    $false,
    inference(trivial_inequality_removal,[],[f751]) ).

thf(f751,plain,
    $false = $true,
    inference(boolean_simplification,[],[f750]) ).

thf(f750,plain,
    ( $false
    = ( ( sub @ sK3 @ ( comp @ ( push @ sK4 @ sK5 ) @ sK6 ) )
      = ( sub @ sK3 @ ( comp @ ( push @ sK4 @ sK5 ) @ sK6 ) ) ) ),
    inference(forward_demodulation,[],[f749,f585]) ).

thf(f585,plain,
    ! [X2: term,X3: subst,X1: subst] :
      ( ( comp @ ( push @ X2 @ X3 ) @ X1 )
      = ( push @ ( sub @ X2 @ X1 ) @ ( comp @ X3 @ X1 ) ) ),
    inference(equality_proxy_clausification,[],[f584]) ).

thf(f584,plain,
    ! [X2: term,X3: subst,X1: subst] :
      ( ( ( comp @ ( push @ X2 @ X3 ) @ X1 )
        = ( push @ ( sub @ X2 @ X1 ) @ ( comp @ X3 @ X1 ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f583]) ).

thf(f583,plain,
    ! [X2: term,X3: subst,X1: subst] :
      ( ( ^ [Y0: subst] :
            ( ( comp @ ( push @ X2 @ Y0 ) @ X1 )
            = ( push @ ( sub @ X2 @ X1 ) @ ( comp @ Y0 @ X1 ) ) )
        @ X3 )
      = $true ),
    inference(pi_clausification,[],[f582]) ).

thf(f582,plain,
    ! [X2: term,X1: subst] :
      ( ( !! @ subst
        @ ^ [Y0: subst] :
            ( ( comp @ ( push @ X2 @ Y0 ) @ X1 )
            = ( push @ ( sub @ X2 @ X1 ) @ ( comp @ Y0 @ X1 ) ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f581]) ).

thf(f581,plain,
    ! [X2: term,X1: subst] :
      ( $true
      = ( ^ [Y0: term] :
            ( !! @ subst
            @ ^ [Y1: subst] :
                ( ( comp @ ( push @ Y0 @ Y1 ) @ X1 )
                = ( push @ ( sub @ Y0 @ X1 ) @ ( comp @ Y1 @ X1 ) ) ) )
        @ X2 ) ),
    inference(pi_clausification,[],[f550]) ).

thf(f550,plain,
    ! [X1: subst] :
      ( ( !! @ term
        @ ^ [Y0: term] :
            ( !! @ subst
            @ ^ [Y1: subst] :
                ( ( comp @ ( push @ Y0 @ Y1 ) @ X1 )
                = ( push @ ( sub @ Y0 @ X1 ) @ ( comp @ Y1 @ X1 ) ) ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f549]) ).

thf(f549,plain,
    ! [X1: subst] :
      ( ( ^ [Y0: subst] :
            ( !! @ term
            @ ^ [Y1: term] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
                    = ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f540]) ).

thf(f540,plain,
    ( ( !! @ subst
      @ ^ [Y0: subst] :
          ( !! @ term
          @ ^ [Y1: term] :
              ( !! @ subst
              @ ^ [Y2: subst] :
                  ( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
                  = ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f536]) ).

thf(f536,plain,
    ( ( ( !! @ subst
        @ ^ [Y0: subst] :
            ( !! @ term
            @ ^ [Y1: term] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
                    = ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) ) )
     => ( !! @ ( subst > term > subst > $o )
        @ ^ [Y0: subst > term > subst > $o] :
            ( ( !! @ ( subst > term > term )
              @ ^ [Y1: subst > term > term] :
                  ( ( !! @ term
                    @ ^ [Y2: term] :
                        ( !! @ subst
                        @ ^ [Y3: subst] :
                            ( !! @ subst
                            @ ^ [Y4: subst] :
                                ( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
                                = ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
                 => ( ( !! @ term
                      @ ^ [Y2: term] :
                          ( ( Y0 @ id @ Y2 @ id )
                         => ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
                   => ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
           => ( !! @ term
              @ ^ [Y1: term] :
                  ( ( !! @ term
                    @ ^ [Y2: term] :
                        ( ( Y0 @ id @ Y2 @ id )
                       => ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
                 => ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) )
    = $false ),
    inference(boolean_simplification,[],[f533]) ).

thf(f533,plain,
    ( $false
    = ( $true
     => ( ( !! @ subst
          @ ^ [Y0: subst] :
              ( !! @ term
              @ ^ [Y1: term] :
                  ( !! @ subst
                  @ ^ [Y2: subst] :
                      ( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
                      = ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) ) )
       => ( !! @ ( subst > term > subst > $o )
          @ ^ [Y0: subst > term > subst > $o] :
              ( ( !! @ ( subst > term > term )
                @ ^ [Y1: subst > term > term] :
                    ( ( !! @ term
                      @ ^ [Y2: term] :
                          ( !! @ subst
                          @ ^ [Y3: subst] :
                              ( !! @ subst
                              @ ^ [Y4: subst] :
                                  ( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
                                  = ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
                   => ( ( !! @ term
                        @ ^ [Y2: term] :
                            ( ( Y0 @ id @ Y2 @ id )
                           => ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
                     => ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
             => ( !! @ term
                @ ^ [Y1: term] :
                    ( ( !! @ term
                      @ ^ [Y2: term] :
                          ( ( Y0 @ id @ Y2 @ id )
                         => ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
                   => ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ) ) ),
    inference(backward_demodulation,[],[f528,f531]) ).

thf(f531,plain,
    ( ( !! @ subst
      @ ^ [Y0: subst] :
          ( !! @ term
          @ ^ [Y1: term] :
              ( !! @ subst
              @ ^ [Y2: subst] :
                  ( ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 )
                  = ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) ) ) ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f528]) ).

thf(f528,plain,
    ( $false
    = ( ( !! @ subst
        @ ^ [Y0: subst] :
            ( !! @ term
            @ ^ [Y1: term] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 )
                    = ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) ) ) ) ) )
     => ( ( !! @ subst
          @ ^ [Y0: subst] :
              ( !! @ term
              @ ^ [Y1: term] :
                  ( !! @ subst
                  @ ^ [Y2: subst] :
                      ( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
                      = ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) ) )
       => ( !! @ ( subst > term > subst > $o )
          @ ^ [Y0: subst > term > subst > $o] :
              ( ( !! @ ( subst > term > term )
                @ ^ [Y1: subst > term > term] :
                    ( ( !! @ term
                      @ ^ [Y2: term] :
                          ( !! @ subst
                          @ ^ [Y3: subst] :
                              ( !! @ subst
                              @ ^ [Y4: subst] :
                                  ( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
                                  = ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
                   => ( ( !! @ term
                        @ ^ [Y2: term] :
                            ( ( Y0 @ id @ Y2 @ id )
                           => ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
                     => ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
             => ( !! @ term
                @ ^ [Y1: term] :
                    ( ( !! @ term
                      @ ^ [Y2: term] :
                          ( ( Y0 @ id @ Y2 @ id )
                         => ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
                   => ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f527]) ).

thf(f527,plain,
    ( $true
    = ( ~ ( ( !! @ subst
            @ ^ [Y0: subst] :
                ( !! @ term
                @ ^ [Y1: term] :
                    ( !! @ subst
                    @ ^ [Y2: subst] :
                        ( ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 )
                        = ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) ) ) ) ) )
         => ( ( !! @ subst
              @ ^ [Y0: subst] :
                  ( !! @ term
                  @ ^ [Y1: term] :
                      ( !! @ subst
                      @ ^ [Y2: subst] :
                          ( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
                          = ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) ) )
           => ( !! @ ( subst > term > subst > $o )
              @ ^ [Y0: subst > term > subst > $o] :
                  ( ( !! @ ( subst > term > term )
                    @ ^ [Y1: subst > term > term] :
                        ( ( !! @ term
                          @ ^ [Y2: term] :
                              ( !! @ subst
                              @ ^ [Y3: subst] :
                                  ( !! @ subst
                                  @ ^ [Y4: subst] :
                                      ( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
                                      = ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
                       => ( ( !! @ term
                            @ ^ [Y2: term] :
                                ( ( Y0 @ id @ Y2 @ id )
                               => ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
                         => ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
                 => ( !! @ term
                    @ ^ [Y1: term] :
                        ( ( !! @ term
                          @ ^ [Y2: term] :
                              ( ( Y0 @ id @ Y2 @ id )
                             => ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
                       => ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f526]) ).

thf(f526,plain,
    ( $true
    = ( ~ ( ( !! @ subst
            @ ^ [Y0: subst] :
                ( !! @ term
                @ ^ [Y1: term] :
                    ( !! @ subst
                    @ ^ [Y2: subst] :
                        ( ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 )
                        = ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) ) ) ) ) )
         => ( ( !! @ subst
              @ ^ [Y0: subst] :
                  ( !! @ term
                  @ ^ [Y1: term] :
                      ( !! @ subst
                      @ ^ [Y2: subst] :
                          ( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
                          = ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) ) )
           => ( !! @ ( subst > term > subst > $o )
              @ ^ [Y0: subst > term > subst > $o] :
                  ( ( !! @ ( subst > term > term )
                    @ ^ [Y1: subst > term > term] :
                        ( ( !! @ term
                          @ ^ [Y2: term] :
                              ( !! @ subst
                              @ ^ [Y3: subst] :
                                  ( !! @ subst
                                  @ ^ [Y4: subst] :
                                      ( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
                                      = ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
                       => ( ( !! @ term
                            @ ^ [Y2: term] :
                                ( ( Y0 @ id @ Y2 @ id )
                               => ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
                         => ( Y0 @ id
                            @ ( ^ [Y2: subst,Y3: subst > term > term] : ( lam @ ( Y3 @ sh @ one ) )
                              @ id
                              @ ^ [Y2: subst,Y3: term] : ( Y1 @ Y2 @ Y3 ) )
                            @ id ) ) ) )
                 => ( !! @ term
                    @ ^ [Y1: term] :
                        ( ( !! @ term
                          @ ^ [Y2: term] :
                              ( ( Y0 @ id @ Y2 @ id )
                             => ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
                       => ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ) ) ) ),
    inference(definition_unfolding,[],[f428,f479]) ).

thf(f479,plain,
    ( hoasinduction_lem3aa_lthm
    = ( ( !! @ subst
        @ ^ [Y0: subst] :
            ( !! @ term
            @ ^ [Y1: term] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 )
                    = ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) ) ) ) ) )
     => ( ( !! @ subst
          @ ^ [Y0: subst] :
              ( !! @ term
              @ ^ [Y1: term] :
                  ( !! @ subst
                  @ ^ [Y2: subst] :
                      ( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
                      = ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) ) )
       => ( !! @ ( subst > term > subst > $o )
          @ ^ [Y0: subst > term > subst > $o] :
              ( ( !! @ ( subst > term > term )
                @ ^ [Y1: subst > term > term] :
                    ( ( !! @ term
                      @ ^ [Y2: term] :
                          ( !! @ subst
                          @ ^ [Y3: subst] :
                              ( !! @ subst
                              @ ^ [Y4: subst] :
                                  ( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
                                  = ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
                   => ( ( !! @ term
                        @ ^ [Y2: term] :
                            ( ( Y0 @ id @ Y2 @ id )
                           => ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
                     => ( Y0 @ id
                        @ ( ^ [Y2: subst,Y3: subst > term > term] : ( lam @ ( Y3 @ sh @ one ) )
                          @ id
                          @ ^ [Y2: subst,Y3: term] : ( Y1 @ Y2 @ Y3 ) )
                        @ id ) ) ) )
             => ( !! @ term
                @ ^ [Y1: term] :
                    ( ( !! @ term
                      @ ^ [Y2: term] :
                          ( ( Y0 @ id @ Y2 @ id )
                         => ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
                   => ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ) ) ),
    inference(definition_unfolding,[],[f351,f355,f336,f478]) ).

thf(f478,plain,
    ( hoasinduction_lem3aa
    = ( !! @ ( subst > term > subst > $o )
      @ ^ [Y0: subst > term > subst > $o] :
          ( ( !! @ ( subst > term > term )
            @ ^ [Y1: subst > term > term] :
                ( ( !! @ term
                  @ ^ [Y2: term] :
                      ( !! @ subst
                      @ ^ [Y3: subst] :
                          ( !! @ subst
                          @ ^ [Y4: subst] :
                              ( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
                              = ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
               => ( ( !! @ term
                    @ ^ [Y2: term] :
                        ( ( Y0 @ id @ Y2 @ id )
                       => ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
                 => ( Y0 @ id
                    @ ( ^ [Y2: subst,Y3: subst > term > term] : ( lam @ ( Y3 @ sh @ one ) )
                      @ id
                      @ ^ [Y2: subst,Y3: term] : ( Y1 @ Y2 @ Y3 ) )
                    @ id ) ) ) )
         => ( !! @ term
            @ ^ [Y1: term] :
                ( ( !! @ term
                  @ ^ [Y2: term] :
                      ( ( Y0 @ id @ Y2 @ id )
                     => ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
               => ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ),
    inference(definition_unfolding,[],[f382,f386]) ).

thf(f386,plain,
    ( hoaslam
    = ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
    inference(cnf_transformation,[],[f307]) ).

thf(f307,plain,
    ( hoaslam
    = ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
    inference(fool_elimination,[],[f306]) ).

thf(f306,plain,
    ( hoaslam
    = ( ^ [X0: subst,X1: subst > term > term] : ( lam @ ( X1 @ sh @ one ) ) ) ),
    inference(rectify,[],[f56]) ).

thf(f56,axiom,
    ( hoaslam
    = ( ^ [X2: subst,X10: subst > term > term] : ( lam @ ( X10 @ sh @ one ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoaslam) ).

thf(f382,plain,
    ( hoasinduction_lem3aa
    = ( !! @ ( subst > term > subst > $o )
      @ ^ [Y0: subst > term > subst > $o] :
          ( ( !! @ ( subst > term > term )
            @ ^ [Y1: subst > term > term] :
                ( ( !! @ term
                  @ ^ [Y2: term] :
                      ( !! @ subst
                      @ ^ [Y3: subst] :
                          ( !! @ subst
                          @ ^ [Y4: subst] :
                              ( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
                              = ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
               => ( ( !! @ term
                    @ ^ [Y2: term] :
                        ( ( Y0 @ id @ Y2 @ id )
                       => ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
                 => ( Y0 @ id
                    @ ( hoaslam @ id
                      @ ^ [Y2: subst,Y3: term] : ( Y1 @ Y2 @ Y3 ) )
                    @ id ) ) ) )
         => ( !! @ term
            @ ^ [Y1: term] :
                ( ( !! @ term
                  @ ^ [Y2: term] :
                      ( ( Y0 @ id @ Y2 @ id )
                     => ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
               => ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ),
    inference(cnf_transformation,[],[f236]) ).

thf(f236,plain,
    ( hoasinduction_lem3aa
    = ( !! @ ( subst > term > subst > $o )
      @ ^ [Y0: subst > term > subst > $o] :
          ( ( !! @ ( subst > term > term )
            @ ^ [Y1: subst > term > term] :
                ( ( !! @ term
                  @ ^ [Y2: term] :
                      ( !! @ subst
                      @ ^ [Y3: subst] :
                          ( !! @ subst
                          @ ^ [Y4: subst] :
                              ( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
                              = ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
               => ( ( !! @ term
                    @ ^ [Y2: term] :
                        ( ( Y0 @ id @ Y2 @ id )
                       => ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
                 => ( Y0 @ id
                    @ ( hoaslam @ id
                      @ ^ [Y2: subst,Y3: term] : ( Y1 @ Y2 @ Y3 ) )
                    @ id ) ) ) )
         => ( !! @ term
            @ ^ [Y1: term] :
                ( ( !! @ term
                  @ ^ [Y2: term] :
                      ( ( Y0 @ id @ Y2 @ id )
                     => ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
               => ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ),
    inference(fool_elimination,[],[f235]) ).

thf(f235,plain,
    ! [X0: subst > term > subst > $o] :
      ( ( ! [X1: subst > term > term] :
            ( ! [X2: subst,X3: subst,X4: term] :
                ( ( sub @ ( X1 @ X3 @ X4 ) @ X2 )
                = ( X1 @ ( comp @ X3 @ X2 ) @ ( sub @ X4 @ X2 ) ) )
           => ( ! [X5: term] :
                  ( ( X0 @ id @ X5 @ id )
                 => ( X0 @ id @ ( X1 @ id @ X5 ) @ id ) )
             => ( X0 @ id
                @ ( hoaslam @ id
                  @ ^ [X6: subst,X7: term] : ( X1 @ X6 @ X7 ) )
                @ id ) ) )
       => ! [X8: term] :
            ( ! [X9: term] :
                ( ( X0 @ id @ X9 @ id )
               => ( X0 @ id @ ( sub @ X8 @ ( push @ X9 @ id ) ) @ id ) )
           => ( X0 @ id @ ( lam @ ( sub @ X8 @ ( push @ one @ sh ) ) ) @ id ) ) )
      = hoasinduction_lem3aa ),
    inference(rectify,[],[f96]) ).

thf(f96,axiom,
    ! [X5: subst > term > subst > $o] :
      ( ( ! [X10: subst > term > term] :
            ( ! [X3: subst,X2: subst,X0: term] :
                ( ( sub @ ( X10 @ X2 @ X0 ) @ X3 )
                = ( X10 @ ( comp @ X2 @ X3 ) @ ( sub @ X0 @ X3 ) ) )
           => ( ! [X0: term] :
                  ( ( X5 @ id @ X0 @ id )
                 => ( X5 @ id @ ( X10 @ id @ X0 ) @ id ) )
             => ( X5 @ id
                @ ( hoaslam @ id
                  @ ^ [X2: subst,X0: term] : ( X10 @ X2 @ X0 ) )
                @ id ) ) )
       => ! [X0: term] :
            ( ! [X1: term] :
                ( ( X5 @ id @ X1 @ id )
               => ( X5 @ id @ ( sub @ X0 @ ( push @ X1 @ id ) ) @ id ) )
           => ( X5 @ id @ ( lam @ ( sub @ X0 @ ( push @ one @ sh ) ) ) @ id ) ) )
      = hoasinduction_lem3aa ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3aa) ).

thf(f336,plain,
    ( axmap
    = ( !! @ subst
      @ ^ [Y0: subst] :
          ( !! @ term
          @ ^ [Y1: term] :
              ( !! @ subst
              @ ^ [Y2: subst] :
                  ( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
                  = ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f214]) ).

thf(f214,plain,
    ( axmap
    = ( !! @ subst
      @ ^ [Y0: subst] :
          ( !! @ term
          @ ^ [Y1: term] :
              ( !! @ subst
              @ ^ [Y2: subst] :
                  ( ( comp @ ( push @ Y1 @ Y2 ) @ Y0 )
                  = ( push @ ( sub @ Y1 @ Y0 ) @ ( comp @ Y2 @ Y0 ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f213]) ).

thf(f213,plain,
    ! [X0: subst,X1: term,X2: subst] :
      ( ( ( comp @ ( push @ X1 @ X0 ) @ X2 )
        = ( push @ ( sub @ X1 @ X2 ) @ ( comp @ X0 @ X2 ) ) )
      = axmap ),
    inference(rectify,[],[f9]) ).

thf(f9,axiom,
    ! [X2: subst,X0: term,X3: subst] :
      ( ( ( comp @ ( push @ X0 @ X2 ) @ X3 )
        = ( push @ ( sub @ X0 @ X3 ) @ ( comp @ X2 @ X3 ) ) )
      = axmap ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axmap) ).

thf(f355,plain,
    ( axclos
    = ( !! @ subst
      @ ^ [Y0: subst] :
          ( !! @ term
          @ ^ [Y1: term] :
              ( !! @ subst
              @ ^ [Y2: subst] :
                  ( ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 )
                  = ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f270]) ).

thf(f270,plain,
    ( axclos
    = ( !! @ subst
      @ ^ [Y0: subst] :
          ( !! @ term
          @ ^ [Y1: term] :
              ( !! @ subst
              @ ^ [Y2: subst] :
                  ( ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 )
                  = ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f269]) ).

thf(f269,plain,
    ( axclos
    = ( ! [X0: subst,X1: term,X2: subst] :
          ( ( sub @ ( sub @ X1 @ X2 ) @ X0 )
          = ( sub @ X1 @ ( comp @ X2 @ X0 ) ) ) ) ),
    inference(rectify,[],[f5]) ).

thf(f5,axiom,
    ( axclos
    = ( ! [X3: subst,X0: term,X2: subst] :
          ( ( sub @ ( sub @ X0 @ X2 ) @ X3 )
          = ( sub @ X0 @ ( comp @ X2 @ X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axclos) ).

thf(f351,plain,
    ( hoasinduction_lem3aa_lthm
    = ( axclos
     => ( axmap
       => hoasinduction_lem3aa ) ) ),
    inference(cnf_transformation,[],[f199]) ).

thf(f199,plain,
    ( hoasinduction_lem3aa_lthm
    = ( axclos
     => ( axmap
       => hoasinduction_lem3aa ) ) ),
    inference(fool_elimination,[],[f198]) ).

thf(f198,plain,
    ( ( hoasinduction_lem3aa_lthm = axclos )
   => ( axmap
     => hoasinduction_lem3aa ) ),
    inference(rectify,[],[f97]) ).

thf(f97,axiom,
    ( ( hoasinduction_lem3aa_lthm = axclos )
   => ( axmap
     => hoasinduction_lem3aa ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hoasinduction_lem3aa_lthm) ).

thf(f428,plain,
    ( ~ hoasinduction_lem3aa_lthm = $true ),
    inference(cnf_transformation,[],[f202]) ).

thf(f202,plain,
    ( ~ hoasinduction_lem3aa_lthm = $true ),
    inference(fool_elimination,[],[f201]) ).

thf(f201,plain,
    ~ hoasinduction_lem3aa_lthm,
    inference(rectify,[],[f115]) ).

thf(f115,negated_conjecture,
    ~ hoasinduction_lem3aa_lthm,
    inference(negated_conjecture,[],[f114]) ).

thf(f114,conjecture,
    hoasinduction_lem3aa_lthm,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).

thf(f749,plain,
    ( ( ( sub @ sK3 @ ( comp @ ( push @ sK4 @ sK5 ) @ sK6 ) )
      = ( sub @ sK3 @ ( push @ ( sub @ sK4 @ sK6 ) @ ( comp @ sK5 @ sK6 ) ) ) )
    = $false ),
    inference(forward_demodulation,[],[f748,f543]) ).

thf(f543,plain,
    ! [X2: term,X3: subst,X1: subst] :
      ( ( sub @ ( sub @ X2 @ X1 ) @ X3 )
      = ( sub @ X2 @ ( comp @ X1 @ X3 ) ) ),
    inference(equality_proxy_clausification,[],[f542]) ).

thf(f542,plain,
    ! [X2: term,X3: subst,X1: subst] :
      ( ( ( sub @ ( sub @ X2 @ X1 ) @ X3 )
        = ( sub @ X2 @ ( comp @ X1 @ X3 ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f541]) ).

thf(f541,plain,
    ! [X2: term,X3: subst,X1: subst] :
      ( ( ^ [Y0: subst] :
            ( ( sub @ ( sub @ X2 @ X1 ) @ Y0 )
            = ( sub @ X2 @ ( comp @ X1 @ Y0 ) ) )
        @ X3 )
      = $true ),
    inference(pi_clausification,[],[f538]) ).

thf(f538,plain,
    ! [X2: term,X1: subst] :
      ( ( !! @ subst
        @ ^ [Y0: subst] :
            ( ( sub @ ( sub @ X2 @ X1 ) @ Y0 )
            = ( sub @ X2 @ ( comp @ X1 @ Y0 ) ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f537]) ).

thf(f537,plain,
    ! [X2: term,X1: subst] :
      ( ( ^ [Y0: term] :
            ( !! @ subst
            @ ^ [Y1: subst] :
                ( ( sub @ ( sub @ Y0 @ X1 ) @ Y1 )
                = ( sub @ Y0 @ ( comp @ X1 @ Y1 ) ) ) )
        @ X2 )
      = $true ),
    inference(pi_clausification,[],[f535]) ).

thf(f535,plain,
    ! [X1: subst] :
      ( $true
      = ( !! @ term
        @ ^ [Y0: term] :
            ( !! @ subst
            @ ^ [Y1: subst] :
                ( ( sub @ ( sub @ Y0 @ X1 ) @ Y1 )
                = ( sub @ Y0 @ ( comp @ X1 @ Y1 ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f534]) ).

thf(f534,plain,
    ! [X1: subst] :
      ( $true
      = ( ^ [Y0: subst] :
            ( !! @ term
            @ ^ [Y1: term] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( ( sub @ ( sub @ Y1 @ Y0 ) @ Y2 )
                    = ( sub @ Y1 @ ( comp @ Y0 @ Y2 ) ) ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f531]) ).

thf(f748,plain,
    ( ( ( sub @ ( sub @ sK3 @ ( push @ sK4 @ sK5 ) ) @ sK6 )
      = ( sub @ sK3 @ ( push @ ( sub @ sK4 @ sK6 ) @ ( comp @ sK5 @ sK6 ) ) ) )
    = $false ),
    inference(beta_eta_normalization,[],[f747]) ).

thf(f747,plain,
    ( $false
    = ( ^ [Y0: subst] :
          ( ( sub @ ( sub @ sK3 @ ( push @ sK4 @ sK5 ) ) @ Y0 )
          = ( sub @ sK3 @ ( push @ ( sub @ sK4 @ Y0 ) @ ( comp @ sK5 @ Y0 ) ) ) )
      @ sK6 ) ),
    inference(sigma_clausification,[],[f716]) ).

thf(f716,plain,
    ( ( !! @ subst
      @ ^ [Y0: subst] :
          ( ( sub @ ( sub @ sK3 @ ( push @ sK4 @ sK5 ) ) @ Y0 )
          = ( sub @ sK3 @ ( push @ ( sub @ sK4 @ Y0 ) @ ( comp @ sK5 @ Y0 ) ) ) ) )
    = $false ),
    inference(beta_eta_normalization,[],[f715]) ).

thf(f715,plain,
    ( ( ^ [Y0: subst] :
          ( !! @ subst
          @ ^ [Y1: subst] :
              ( ( sub @ ( sub @ sK3 @ ( push @ sK4 @ Y0 ) ) @ Y1 )
              = ( sub @ sK3 @ ( push @ ( sub @ sK4 @ Y1 ) @ ( comp @ Y0 @ Y1 ) ) ) ) )
      @ sK5 )
    = $false ),
    inference(sigma_clausification,[],[f711]) ).

thf(f711,plain,
    ( ( !! @ subst
      @ ^ [Y0: subst] :
          ( !! @ subst
          @ ^ [Y1: subst] :
              ( ( sub @ ( sub @ sK3 @ ( push @ sK4 @ Y0 ) ) @ Y1 )
              = ( sub @ sK3 @ ( push @ ( sub @ sK4 @ Y1 ) @ ( comp @ Y0 @ Y1 ) ) ) ) ) )
    = $false ),
    inference(beta_eta_normalization,[],[f709]) ).

thf(f709,plain,
    ( $false
    = ( ^ [Y0: term] :
          ( !! @ subst
          @ ^ [Y1: subst] :
              ( !! @ subst
              @ ^ [Y2: subst] :
                  ( ( sub @ ( sub @ sK3 @ ( push @ Y0 @ Y1 ) ) @ Y2 )
                  = ( sub @ sK3 @ ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
      @ sK4 ) ),
    inference(sigma_clausification,[],[f707]) ).

thf(f707,plain,
    ( $false
    = ( !! @ term
      @ ^ [Y0: term] :
          ( !! @ subst
          @ ^ [Y1: subst] :
              ( !! @ subst
              @ ^ [Y2: subst] :
                  ( ( sub @ ( sub @ sK3 @ ( push @ Y0 @ Y1 ) ) @ Y2 )
                  = ( sub @ sK3 @ ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f667]) ).

thf(f667,plain,
    ( ( ~ ( !! @ term
          @ ^ [Y0: term] :
              ( !! @ subst
              @ ^ [Y1: subst] :
                  ( !! @ subst
                  @ ^ [Y2: subst] :
                      ( ( sub @ ( sub @ sK3 @ ( push @ Y0 @ Y1 ) ) @ Y2 )
                      = ( sub @ sK3 @ ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) ) )
    = $true ),
    inference(boolean_simplification,[],[f666]) ).

thf(f666,plain,
    ( ( ( !! @ term
        @ ^ [Y0: term] :
            ( !! @ subst
            @ ^ [Y1: subst] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( ( sub @ ( sub @ sK3 @ ( push @ Y0 @ Y1 ) ) @ Y2 )
                    = ( sub @ sK3 @ ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) )
     => $false )
    = $true ),
    inference(beta_eta_normalization,[],[f665]) ).

thf(f665,plain,
    ( ( ( !! @ term
        @ ^ [Y0: term] :
            ( !! @ subst
            @ ^ [Y1: subst] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( ( sub
                      @ ( ^ [Y3: subst,Y4: term] :
                            ( sub
                            @ ( ^ [Y5: subst,Y6: term] : sK3
                              @ Y3
                              @ Y4 )
                            @ ( ^ [Y5: subst,Y6: term] :
                                  ( push
                                  @ ( ^ [Y7: subst,Y8: term] : Y8
                                    @ Y5
                                    @ Y6 )
                                  @ ( ^ [Y7: subst,Y8: term] : Y7
                                    @ Y5
                                    @ Y6 ) )
                              @ Y3
                              @ Y4 ) )
                        @ Y1
                        @ Y0 )
                      @ Y2 )
                    = ( ^ [Y3: subst,Y4: term] :
                          ( sub
                          @ ( ^ [Y5: subst,Y6: term] : sK3
                            @ Y3
                            @ Y4 )
                          @ ( ^ [Y5: subst,Y6: term] :
                                ( push
                                @ ( ^ [Y7: subst,Y8: term] : Y8
                                  @ Y5
                                  @ Y6 )
                                @ ( ^ [Y7: subst,Y8: term] : Y7
                                  @ Y5
                                  @ Y6 ) )
                            @ Y3
                            @ Y4 ) )
                      @ ( comp @ Y1 @ Y2 )
                      @ ( sub @ Y0 @ Y2 ) ) ) ) ) )
     => $false )
    = $true ),
    inference(superposition,[],[f624,f596]) ).

thf(f596,plain,
    ( $false
    = ( ( !! @ term
        @ ^ [Y0: term] :
            ( ( sK2 @ id @ Y0 @ id )
           => ( sK2 @ id @ ( sub @ sK3 @ ( push @ Y0 @ id ) ) @ id ) ) )
     => ( sK2 @ id @ ( lam @ ( sub @ sK3 @ ( push @ one @ sh ) ) ) @ id ) ) ),
    inference(beta_eta_normalization,[],[f595]) ).

thf(f595,plain,
    ( $false
    = ( ^ [Y0: term] :
          ( ( !! @ term
            @ ^ [Y1: term] :
                ( ( sK2 @ id @ Y1 @ id )
               => ( sK2 @ id @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) @ id ) ) )
         => ( sK2 @ id @ ( lam @ ( sub @ Y0 @ ( push @ one @ sh ) ) ) @ id ) )
      @ sK3 ) ),
    inference(sigma_clausification,[],[f579]) ).

thf(f579,plain,
    ( ( !! @ term
      @ ^ [Y0: term] :
          ( ( !! @ term
            @ ^ [Y1: term] :
                ( ( sK2 @ id @ Y1 @ id )
               => ( sK2 @ id @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) @ id ) ) )
         => ( sK2 @ id @ ( lam @ ( sub @ Y0 @ ( push @ one @ sh ) ) ) @ id ) ) )
    = $false ),
    inference(binary_proxy_clausification,[],[f564]) ).

thf(f564,plain,
    ( $false
    = ( ( !! @ ( subst > term > term )
        @ ^ [Y0: subst > term > term] :
            ( ( !! @ term
              @ ^ [Y1: term] :
                  ( !! @ subst
                  @ ^ [Y2: subst] :
                      ( !! @ subst
                      @ ^ [Y3: subst] :
                          ( ( sub @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
                          = ( Y0 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y1 @ Y3 ) ) ) ) ) )
           => ( ( !! @ term
                @ ^ [Y1: term] :
                    ( ( sK2 @ id @ Y1 @ id )
                   => ( sK2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
             => ( sK2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) )
     => ( !! @ term
        @ ^ [Y0: term] :
            ( ( !! @ term
              @ ^ [Y1: term] :
                  ( ( sK2 @ id @ Y1 @ id )
                 => ( sK2 @ id @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) @ id ) ) )
           => ( sK2 @ id @ ( lam @ ( sub @ Y0 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ),
    inference(beta_eta_normalization,[],[f563]) ).

thf(f563,plain,
    ( ( ^ [Y0: subst > term > subst > $o] :
          ( ( !! @ ( subst > term > term )
            @ ^ [Y1: subst > term > term] :
                ( ( !! @ term
                  @ ^ [Y2: term] :
                      ( !! @ subst
                      @ ^ [Y3: subst] :
                          ( !! @ subst
                          @ ^ [Y4: subst] :
                              ( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
                              = ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
               => ( ( !! @ term
                    @ ^ [Y2: term] :
                        ( ( Y0 @ id @ Y2 @ id )
                       => ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
                 => ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
         => ( !! @ term
            @ ^ [Y1: term] :
                ( ( !! @ term
                  @ ^ [Y2: term] :
                      ( ( Y0 @ id @ Y2 @ id )
                     => ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
               => ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) )
      @ sK2 )
    = $false ),
    inference(sigma_clausification,[],[f551]) ).

thf(f551,plain,
    ( $false
    = ( !! @ ( subst > term > subst > $o )
      @ ^ [Y0: subst > term > subst > $o] :
          ( ( !! @ ( subst > term > term )
            @ ^ [Y1: subst > term > term] :
                ( ( !! @ term
                  @ ^ [Y2: term] :
                      ( !! @ subst
                      @ ^ [Y3: subst] :
                          ( !! @ subst
                          @ ^ [Y4: subst] :
                              ( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
                              = ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
               => ( ( !! @ term
                    @ ^ [Y2: term] :
                        ( ( Y0 @ id @ Y2 @ id )
                       => ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
                 => ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
         => ( !! @ term
            @ ^ [Y1: term] :
                ( ( !! @ term
                  @ ^ [Y2: term] :
                      ( ( Y0 @ id @ Y2 @ id )
                     => ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
               => ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ),
    inference(boolean_simplification,[],[f548]) ).

thf(f548,plain,
    ( $false
    = ( $true
     => ( !! @ ( subst > term > subst > $o )
        @ ^ [Y0: subst > term > subst > $o] :
            ( ( !! @ ( subst > term > term )
              @ ^ [Y1: subst > term > term] :
                  ( ( !! @ term
                    @ ^ [Y2: term] :
                        ( !! @ subst
                        @ ^ [Y3: subst] :
                            ( !! @ subst
                            @ ^ [Y4: subst] :
                                ( ( sub @ ( Y1 @ Y3 @ Y2 ) @ Y4 )
                                = ( Y1 @ ( comp @ Y3 @ Y4 ) @ ( sub @ Y2 @ Y4 ) ) ) ) ) )
                 => ( ( !! @ term
                      @ ^ [Y2: term] :
                          ( ( Y0 @ id @ Y2 @ id )
                         => ( Y0 @ id @ ( Y1 @ id @ Y2 ) @ id ) ) )
                   => ( Y0 @ id @ ( lam @ ( Y1 @ sh @ one ) ) @ id ) ) ) )
           => ( !! @ term
              @ ^ [Y1: term] :
                  ( ( !! @ term
                    @ ^ [Y2: term] :
                        ( ( Y0 @ id @ Y2 @ id )
                       => ( Y0 @ id @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) @ id ) ) )
                 => ( Y0 @ id @ ( lam @ ( sub @ Y1 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ) ),
    inference(backward_demodulation,[],[f536,f540]) ).

thf(f624,plain,
    ! [X1: subst > term > term] :
      ( ( ( !! @ term
          @ ^ [Y0: term] :
              ( !! @ subst
              @ ^ [Y1: subst] :
                  ( !! @ subst
                  @ ^ [Y2: subst] :
                      ( ( sub @ ( X1 @ Y1 @ Y0 ) @ Y2 )
                      = ( X1 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y0 @ Y2 ) ) ) ) ) )
       => ( ( !! @ term
            @ ^ [Y0: term] :
                ( ( sK2 @ id @ Y0 @ id )
               => ( sK2 @ id @ ( X1 @ id @ Y0 ) @ id ) ) )
         => ( sK2 @ id @ ( lam @ ( X1 @ sh @ one ) ) @ id ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f623]) ).

thf(f623,plain,
    ! [X1: subst > term > term] :
      ( ( ^ [Y0: subst > term > term] :
            ( ( !! @ term
              @ ^ [Y1: term] :
                  ( !! @ subst
                  @ ^ [Y2: subst] :
                      ( !! @ subst
                      @ ^ [Y3: subst] :
                          ( ( sub @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
                          = ( Y0 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y1 @ Y3 ) ) ) ) ) )
           => ( ( !! @ term
                @ ^ [Y1: term] :
                    ( ( sK2 @ id @ Y1 @ id )
                   => ( sK2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
             => ( sK2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f604]) ).

thf(f604,plain,
    ( $true
    = ( !! @ ( subst > term > term )
      @ ^ [Y0: subst > term > term] :
          ( ( !! @ term
            @ ^ [Y1: term] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( !! @ subst
                    @ ^ [Y3: subst] :
                        ( ( sub @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
                        = ( Y0 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y1 @ Y3 ) ) ) ) ) )
         => ( ( !! @ term
              @ ^ [Y1: term] :
                  ( ( sK2 @ id @ Y1 @ id )
                 => ( sK2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
           => ( sK2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) ) ),
    inference(not_proxy_clausification,[],[f597]) ).

thf(f597,plain,
    ( $false
    = ( ~ ( !! @ ( subst > term > term )
          @ ^ [Y0: subst > term > term] :
              ( ( !! @ term
                @ ^ [Y1: term] :
                    ( !! @ subst
                    @ ^ [Y2: subst] :
                        ( !! @ subst
                        @ ^ [Y3: subst] :
                            ( ( sub @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
                            = ( Y0 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y1 @ Y3 ) ) ) ) ) )
             => ( ( !! @ term
                  @ ^ [Y1: term] :
                      ( ( sK2 @ id @ Y1 @ id )
                     => ( sK2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
               => ( sK2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) ) ) ),
    inference(boolean_simplification,[],[f594]) ).

thf(f594,plain,
    ( $false
    = ( ( !! @ ( subst > term > term )
        @ ^ [Y0: subst > term > term] :
            ( ( !! @ term
              @ ^ [Y1: term] :
                  ( !! @ subst
                  @ ^ [Y2: subst] :
                      ( !! @ subst
                      @ ^ [Y3: subst] :
                          ( ( sub @ ( Y0 @ Y2 @ Y1 ) @ Y3 )
                          = ( Y0 @ ( comp @ Y2 @ Y3 ) @ ( sub @ Y1 @ Y3 ) ) ) ) ) )
           => ( ( !! @ term
                @ ^ [Y1: term] :
                    ( ( sK2 @ id @ Y1 @ id )
                   => ( sK2 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
             => ( sK2 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) )
     => $false ) ),
    inference(backward_demodulation,[],[f564,f579]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : ALG265^2 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 18 23:46:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH0_THM_EQU_NAR problem
% 0.14/0.36  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/sandbox/benchmark/theBenchmark.p
% 0.14/0.40  % (6766)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.40  % (6767)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.40  % (6769)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.40  % (6770)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.40  % (6771)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.40  % (6772)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.40  % (6773)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.40  % (6767)Instruction limit reached!
% 0.14/0.40  % (6767)------------------------------
% 0.14/0.40  % (6767)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (6767)Termination reason: Unknown
% 0.14/0.40  % (6767)Termination phase: shuffling
% 0.14/0.40  
% 0.14/0.40  % (6767)Memory used [KB]: 1279
% 0.14/0.40  % (6767)Time elapsed: 0.003 s
% 0.14/0.40  % (6767)Instructions burned: 4 (million)
% 0.14/0.40  % (6767)------------------------------
% 0.14/0.40  % (6767)------------------------------
% 0.14/0.40  % (6769)Instruction limit reached!
% 0.14/0.40  % (6769)------------------------------
% 0.14/0.40  % (6769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (6769)Termination reason: Unknown
% 0.14/0.40  % (6769)Termination phase: shuffling
% 0.14/0.40  
% 0.14/0.40  % (6769)Memory used [KB]: 1279
% 0.14/0.40  % (6769)Time elapsed: 0.003 s
% 0.14/0.40  % (6769)Instructions burned: 3 (million)
% 0.14/0.40  % (6770)Instruction limit reached!
% 0.14/0.40  % (6770)------------------------------
% 0.14/0.40  % (6770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (6770)Termination reason: Unknown
% 0.14/0.40  % (6770)Termination phase: shuffling
% 0.14/0.40  
% 0.14/0.40  % (6770)Memory used [KB]: 1279
% 0.14/0.40  % (6770)Time elapsed: 0.003 s
% 0.14/0.40  % (6770)Instructions burned: 2 (million)
% 0.14/0.40  % (6770)------------------------------
% 0.14/0.40  % (6770)------------------------------
% 0.14/0.40  % (6769)------------------------------
% 0.14/0.40  % (6769)------------------------------
% 0.14/0.40  % (6768)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.14/0.40  % (6773)Instruction limit reached!
% 0.14/0.40  % (6773)------------------------------
% 0.14/0.40  % (6773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40  % (6773)Termination reason: Unknown
% 0.14/0.40  % (6773)Termination phase: shuffling
% 0.14/0.40  
% 0.14/0.40  % (6773)Memory used [KB]: 1279
% 0.14/0.40  % (6773)Time elapsed: 0.004 s
% 0.14/0.40  % (6773)Instructions burned: 4 (million)
% 0.14/0.40  % (6773)------------------------------
% 0.14/0.40  % (6773)------------------------------
% 0.14/0.41  % (6772)Instruction limit reached!
% 0.14/0.41  % (6772)------------------------------
% 0.14/0.41  % (6772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (6772)Termination reason: Unknown
% 0.14/0.41  % (6772)Termination phase: Property scanning
% 0.14/0.41  
% 0.14/0.41  % (6772)Memory used [KB]: 1663
% 0.14/0.41  % (6772)Time elapsed: 0.012 s
% 0.14/0.41  % (6772)Instructions burned: 20 (million)
% 0.14/0.41  % (6772)------------------------------
% 0.14/0.41  % (6772)------------------------------
% 0.14/0.41  % (6768)Instruction limit reached!
% 0.14/0.41  % (6768)------------------------------
% 0.14/0.41  % (6768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (6768)Termination reason: Unknown
% 0.14/0.41  % (6768)Termination phase: Property scanning
% 0.14/0.41  
% 0.14/0.41  % (6768)Memory used [KB]: 1791
% 0.14/0.41  % (6768)Time elapsed: 0.015 s
% 0.14/0.41  % (6768)Instructions burned: 27 (million)
% 0.14/0.41  % (6768)------------------------------
% 0.14/0.41  % (6768)------------------------------
% 0.14/0.41  % (6774)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.41  % (6775)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.41  % (6776)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.41  % (6771)Refutation not found, incomplete strategy
% 0.14/0.41  % (6771)------------------------------
% 0.14/0.41  % (6771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41  % (6771)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.41  
% 0.14/0.41  
% 0.14/0.41  % (6771)Memory used [KB]: 6140
% 0.14/0.41  % (6771)Time elapsed: 0.018 s
% 0.14/0.41  % (6771)Instructions burned: 29 (million)
% 0.14/0.41  % (6771)------------------------------
% 0.14/0.41  % (6771)------------------------------
% 0.14/0.42  % (6777)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.14/0.42  % (6776)Instruction limit reached!
% 0.14/0.42  % (6776)------------------------------
% 0.14/0.42  % (6776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42  % (6776)Termination reason: Unknown
% 0.14/0.42  % (6776)Termination phase: shuffling
% 0.14/0.42  
% 0.14/0.42  % (6776)Memory used [KB]: 1279
% 0.14/0.42  % (6776)Time elapsed: 0.004 s
% 0.14/0.42  % (6776)Instructions burned: 4 (million)
% 0.14/0.42  % (6776)------------------------------
% 0.14/0.42  % (6776)------------------------------
% 0.20/0.42  % (6775)Instruction limit reached!
% 0.20/0.42  % (6775)------------------------------
% 0.20/0.42  % (6775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42  % (6775)Termination reason: Unknown
% 0.20/0.42  % (6775)Termination phase: Property scanning
% 0.20/0.42  
% 0.20/0.42  % (6775)Memory used [KB]: 1663
% 0.20/0.42  % (6775)Time elapsed: 0.010 s
% 0.20/0.42  % (6775)Instructions burned: 15 (million)
% 0.20/0.42  % (6775)------------------------------
% 0.20/0.42  % (6775)------------------------------
% 0.20/0.42  % (6778)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.43  % (6778)Instruction limit reached!
% 0.20/0.43  % (6778)------------------------------
% 0.20/0.43  % (6778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43  % (6778)Termination reason: Unknown
% 0.20/0.43  % (6778)Termination phase: shuffling
% 0.20/0.43  
% 0.20/0.43  % (6778)Memory used [KB]: 1407
% 0.20/0.43  % (6778)Time elapsed: 0.006 s
% 0.20/0.43  % (6778)Instructions burned: 8 (million)
% 0.20/0.43  % (6778)------------------------------
% 0.20/0.43  % (6778)------------------------------
% 0.20/0.43  % (6779)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.43  % (6780)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)
% 0.20/0.43  % (6781)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)
% 0.20/0.43  % (6780)Instruction limit reached!
% 0.20/0.43  % (6780)------------------------------
% 0.20/0.43  % (6780)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43  % (6780)Termination reason: Unknown
% 0.20/0.43  % (6780)Termination phase: shuffling
% 0.20/0.43  
% 0.20/0.43  % (6780)Memory used [KB]: 1279
% 0.20/0.43  % (6774)Instruction limit reached!
% 0.20/0.43  % (6774)------------------------------
% 0.20/0.43  % (6774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43  % (6780)Time elapsed: 0.004 s
% 0.20/0.43  % (6780)Instructions burned: 4 (million)
% 0.20/0.43  % (6780)------------------------------
% 0.20/0.43  % (6780)------------------------------
% 0.20/0.43  % (6774)Termination reason: Unknown
% 0.20/0.43  % (6774)Termination phase: Property scanning
% 0.20/0.43  
% 0.20/0.43  % (6774)Memory used [KB]: 1791
% 0.20/0.43  % (6774)Time elapsed: 0.020 s
% 0.20/0.43  % (6774)Instructions burned: 38 (million)
% 0.20/0.43  % (6774)------------------------------
% 0.20/0.43  % (6774)------------------------------
% 0.20/0.43  % (6781)Instruction limit reached!
% 0.20/0.43  % (6781)------------------------------
% 0.20/0.43  % (6781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43  % (6781)Termination reason: Unknown
% 0.20/0.43  % (6781)Termination phase: shuffling
% 0.20/0.43  
% 0.20/0.43  % (6781)Memory used [KB]: 1279
% 0.20/0.43  % (6781)Time elapsed: 0.004 s
% 0.20/0.43  % (6781)Instructions burned: 4 (million)
% 0.20/0.43  % (6781)------------------------------
% 0.20/0.43  % (6781)------------------------------
% 0.20/0.44  % (6779)Instruction limit reached!
% 0.20/0.44  % (6779)------------------------------
% 0.20/0.44  % (6779)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44  % (6779)Termination reason: Unknown
% 0.20/0.44  % (6779)Termination phase: shuffling
% 0.20/0.44  
% 0.20/0.44  % (6779)Memory used [KB]: 1535
% 0.20/0.44  % (6779)Time elapsed: 0.010 s
% 0.20/0.44  % (6779)Instructions burned: 17 (million)
% 0.20/0.44  % (6779)------------------------------
% 0.20/0.44  % (6779)------------------------------
% 0.20/0.44  % (6782)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)
% 0.20/0.44  % (6782)Instruction limit reached!
% 0.20/0.44  % (6782)------------------------------
% 0.20/0.44  % (6782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44  % (6782)Termination reason: Unknown
% 0.20/0.44  % (6782)Termination phase: shuffling
% 0.20/0.44  
% 0.20/0.44  % (6782)Memory used [KB]: 1407
% 0.20/0.44  % (6782)Time elapsed: 0.006 s
% 0.20/0.44  % (6782)Instructions burned: 8 (million)
% 0.20/0.44  % (6782)------------------------------
% 0.20/0.44  % (6782)------------------------------
% 0.20/0.44  % (6783)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)
% 0.20/0.44  % (6783)Instruction limit reached!
% 0.20/0.44  % (6783)------------------------------
% 0.20/0.44  % (6783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44  % (6783)Termination reason: Unknown
% 0.20/0.44  % (6783)Termination phase: shuffling
% 0.20/0.44  
% 0.20/0.44  % (6783)Memory used [KB]: 1279
% 0.20/0.44  % (6783)Time elapsed: 0.004 s
% 0.20/0.44  % (6783)Instructions burned: 4 (million)
% 0.20/0.44  % (6783)------------------------------
% 0.20/0.44  % (6783)------------------------------
% 0.20/0.45  % (6784)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.45  % (6785)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)
% 0.20/0.45  % (6786)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.45  % (6784)Instruction limit reached!
% 0.20/0.45  % (6784)------------------------------
% 0.20/0.45  % (6784)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45  % (6784)Termination reason: Unknown
% 0.20/0.45  % (6784)Termination phase: shuffling
% 0.20/0.45  
% 0.20/0.45  % (6784)Memory used [KB]: 1279
% 0.20/0.45  % (6784)Time elapsed: 0.004 s
% 0.20/0.45  % (6784)Instructions burned: 4 (million)
% 0.20/0.45  % (6784)------------------------------
% 0.20/0.45  % (6784)------------------------------
% 0.20/0.45  % (6787)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.45  % (6787)Instruction limit reached!
% 0.20/0.45  % (6787)------------------------------
% 0.20/0.45  % (6787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45  % (6787)Termination reason: Unknown
% 0.20/0.45  % (6787)Termination phase: shuffling
% 0.20/0.45  
% 0.20/0.45  % (6787)Memory used [KB]: 1279
% 0.20/0.45  % (6787)Time elapsed: 0.005 s
% 0.20/0.45  % (6787)Instructions burned: 6 (million)
% 0.20/0.45  % (6787)------------------------------
% 0.20/0.45  % (6787)------------------------------
% 0.20/0.46  % (6788)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.20/0.46  % (6785)Instruction limit reached!
% 0.20/0.46  % (6785)------------------------------
% 0.20/0.46  % (6785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46  % (6785)Termination reason: Unknown
% 0.20/0.46  % (6785)Termination phase: shuffling
% 0.20/0.46  
% 0.20/0.46  % (6785)Memory used [KB]: 1663
% 0.20/0.46  % (6785)Time elapsed: 0.011 s
% 0.20/0.46  % (6785)Instructions burned: 19 (million)
% 0.20/0.46  % (6785)------------------------------
% 0.20/0.46  % (6785)------------------------------
% 0.20/0.46  % (6789)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.46  % (6786)Refutation not found, incomplete strategy
% 0.20/0.46  % (6786)------------------------------
% 0.20/0.46  % (6786)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46  % (6786)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  % (6786)Memory used [KB]: 6140
% 0.20/0.46  % (6786)Time elapsed: 0.015 s
% 0.20/0.46  % (6786)Instructions burned: 25 (million)
% 0.20/0.46  % (6786)------------------------------
% 0.20/0.46  % (6786)------------------------------
% 0.20/0.46  % (6790)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.46  % (6790)Instruction limit reached!
% 0.20/0.46  % (6790)------------------------------
% 0.20/0.46  % (6790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46  % (6790)Termination reason: Unknown
% 0.20/0.46  % (6790)Termination phase: shuffling
% 0.20/0.46  
% 0.20/0.46  % (6790)Memory used [KB]: 1279
% 0.20/0.46  % (6790)Time elapsed: 0.004 s
% 0.20/0.46  % (6790)Instructions burned: 5 (million)
% 0.20/0.46  % (6790)------------------------------
% 0.20/0.46  % (6790)------------------------------
% 0.20/0.47  % (6791)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.47  % (6789)Instruction limit reached!
% 0.20/0.47  % (6789)------------------------------
% 0.20/0.47  % (6789)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47  % (6789)Termination reason: Unknown
% 0.20/0.47  % (6789)Termination phase: shuffling
% 0.20/0.47  
% 0.20/0.47  % (6789)Memory used [KB]: 1663
% 0.20/0.47  % (6789)Time elapsed: 0.012 s
% 0.20/0.47  % (6789)Instructions burned: 21 (million)
% 0.20/0.47  % (6789)------------------------------
% 0.20/0.47  % (6789)------------------------------
% 0.20/0.47  % (6792)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.47  % (6791)Instruction limit reached!
% 0.20/0.47  % (6791)------------------------------
% 0.20/0.47  % (6791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47  % (6791)Termination reason: Unknown
% 0.20/0.47  % (6791)Termination phase: shuffling
% 0.20/0.47  
% 0.20/0.47  % (6791)Memory used [KB]: 1279
% 0.20/0.47  % (6791)Time elapsed: 0.005 s
% 0.20/0.47  % (6791)Instructions burned: 6 (million)
% 0.20/0.47  % (6791)------------------------------
% 0.20/0.47  % (6791)------------------------------
% 0.20/0.48  % (6793)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.20/0.48  % (6794)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.20/0.48  % (6795)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.20/0.48  % (6766)Instruction limit reached!
% 0.20/0.48  % (6766)------------------------------
% 0.20/0.48  % (6766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48  % (6766)Termination reason: Unknown
% 0.20/0.48  % (6766)Termination phase: Saturation
% 0.20/0.48  
% 0.20/0.48  % (6766)Memory used [KB]: 7036
% 0.20/0.48  % (6766)Time elapsed: 0.088 s
% 0.20/0.48  % (6766)Instructions burned: 183 (million)
% 0.20/0.48  % (6766)------------------------------
% 0.20/0.48  % (6766)------------------------------
% 0.20/0.49  % (6796)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.20/0.49  % (6794)Instruction limit reached!
% 0.20/0.49  % (6794)------------------------------
% 0.20/0.49  % (6794)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49  % (6794)Termination reason: Unknown
% 0.20/0.49  % (6794)Termination phase: shuffling
% 0.20/0.49  
% 0.20/0.49  % (6794)Memory used [KB]: 1663
% 0.20/0.49  % (6794)Time elapsed: 0.011 s
% 0.20/0.49  % (6794)Instructions burned: 19 (million)
% 0.20/0.49  % (6794)------------------------------
% 0.20/0.49  % (6794)------------------------------
% 0.20/0.49  % (6796)Instruction limit reached!
% 0.20/0.49  % (6796)------------------------------
% 0.20/0.49  % (6796)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49  % (6796)Termination reason: Unknown
% 0.20/0.49  % (6796)Termination phase: shuffling
% 0.20/0.49  
% 0.20/0.49  % (6796)Memory used [KB]: 1663
% 0.20/0.49  % (6796)Time elapsed: 0.011 s
% 0.20/0.49  % (6796)Instructions burned: 18 (million)
% 0.20/0.49  % (6796)------------------------------
% 0.20/0.49  % (6796)------------------------------
% 0.20/0.50  % (6797)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.50  % (6797)Instruction limit reached!
% 0.20/0.50  % (6797)------------------------------
% 0.20/0.50  % (6797)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50  % (6797)Termination reason: Unknown
% 0.20/0.50  % (6797)Termination phase: shuffling
% 0.20/0.50  
% 0.20/0.50  % (6797)Memory used [KB]: 1279
% 0.20/0.50  % (6797)Time elapsed: 0.004 s
% 0.20/0.50  % (6797)Instructions burned: 4 (million)
% 0.20/0.50  % (6797)------------------------------
% 0.20/0.50  % (6797)------------------------------
% 0.20/0.50  % (6798)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.20/0.51  % (6799)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.20/0.51  % (6795)Refutation not found, incomplete strategy
% 0.20/0.51  % (6795)------------------------------
% 0.20/0.51  % (6795)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51  % (6795)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  % (6795)Memory used [KB]: 6268
% 0.20/0.51  % (6795)Time elapsed: 0.028 s
% 0.20/0.51  % (6795)Instructions burned: 56 (million)
% 0.20/0.51  % (6795)------------------------------
% 0.20/0.51  % (6795)------------------------------
% 0.20/0.52  % (6800)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.20/0.52  % (6798)Instruction limit reached!
% 0.20/0.52  % (6798)------------------------------
% 0.20/0.52  % (6798)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.52  % (6798)Termination reason: Unknown
% 0.20/0.52  % (6798)Termination phase: Property scanning
% 0.20/0.52  
% 0.20/0.52  % (6798)Memory used [KB]: 1791
% 0.20/0.52  % (6798)Time elapsed: 0.016 s
% 0.20/0.52  % (6798)Instructions burned: 30 (million)
% 0.20/0.52  % (6798)------------------------------
% 0.20/0.52  % (6798)------------------------------
% 0.20/0.53  % (6801)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 (2998ds/3Mi)
% 0.20/0.53  % (6801)Instruction limit reached!
% 0.20/0.53  % (6801)------------------------------
% 0.20/0.53  % (6801)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53  % (6801)Termination reason: Unknown
% 0.20/0.53  % (6801)Termination phase: shuffling
% 0.20/0.53  
% 0.20/0.53  % (6801)Memory used [KB]: 1279
% 0.20/0.53  % (6801)Time elapsed: 0.004 s
% 0.20/0.53  % (6801)Instructions burned: 4 (million)
% 0.20/0.53  % (6801)------------------------------
% 0.20/0.53  % (6801)------------------------------
% 0.20/0.53  % (6802)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 (2998ds/20Mi)
% 0.20/0.54  % (6803)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 (2998ds/86Mi)
% 0.20/0.54  % (6802)Instruction limit reached!
% 0.20/0.54  % (6802)------------------------------
% 0.20/0.54  % (6802)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.54  % (6802)Termination reason: Unknown
% 0.20/0.54  % (6802)Termination phase: Property scanning
% 0.20/0.54  
% 0.20/0.54  % (6802)Memory used [KB]: 1663
% 0.20/0.54  % (6802)Time elapsed: 0.013 s
% 0.20/0.54  % (6802)Instructions burned: 21 (million)
% 0.20/0.54  % (6802)------------------------------
% 0.20/0.54  % (6802)------------------------------
% 0.20/0.56  % (6804)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 (2998ds/107Mi)
% 0.20/0.56  % (6800)Instruction limit reached!
% 0.20/0.56  % (6800)------------------------------
% 0.20/0.56  % (6800)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.56  % (6800)Termination reason: Unknown
% 0.20/0.56  % (6800)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (6800)Memory used [KB]: 6652
% 0.20/0.56  % (6800)Time elapsed: 0.047 s
% 0.20/0.56  % (6800)Instructions burned: 100 (million)
% 0.20/0.56  % (6800)------------------------------
% 0.20/0.56  % (6800)------------------------------
% 0.20/0.57  % (6799)Instruction limit reached!
% 0.20/0.57  % (6799)------------------------------
% 0.20/0.57  % (6799)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.57  % (6799)Termination reason: Unknown
% 0.20/0.57  % (6799)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (6799)Memory used [KB]: 6652
% 0.20/0.57  % (6799)Time elapsed: 0.082 s
% 0.20/0.57  % (6799)Instructions burned: 127 (million)
% 0.20/0.57  % (6799)------------------------------
% 0.20/0.57  % (6799)------------------------------
% 0.20/0.58  % (6805)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)
% 0.20/0.58  % (6803)Instruction limit reached!
% 0.20/0.58  % (6803)------------------------------
% 0.20/0.58  % (6803)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.58  % (6803)Termination reason: Unknown
% 0.20/0.58  % (6803)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (6803)Memory used [KB]: 6524
% 0.20/0.58  % (6803)Time elapsed: 0.040 s
% 0.20/0.58  % (6803)Instructions burned: 86 (million)
% 0.20/0.58  % (6803)------------------------------
% 0.20/0.58  % (6803)------------------------------
% 0.20/0.58  % (6806)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)
% 1.74/0.59  % (6805)Instruction limit reached!
% 1.74/0.59  % (6805)------------------------------
% 1.74/0.59  % (6805)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.74/0.59  % (6805)Termination reason: Unknown
% 1.74/0.59  % (6805)Termination phase: Property scanning
% 1.74/0.59  
% 1.74/0.59  % (6805)Memory used [KB]: 1791
% 1.74/0.59  % (6805)Time elapsed: 0.021 s
% 1.74/0.59  % (6805)Instructions burned: 41 (million)
% 1.74/0.59  % (6805)------------------------------
% 1.74/0.59  % (6805)------------------------------
% 1.74/0.59  % (6807)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)
% 1.82/0.61  % (6808)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)
% 1.82/0.62  % (6807)Instruction limit reached!
% 1.82/0.62  % (6807)------------------------------
% 1.82/0.62  % (6807)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.82/0.62  % (6807)Termination reason: Unknown
% 1.82/0.62  % (6807)Termination phase: SInE selection
% 1.82/0.62  
% 1.82/0.62  % (6807)Memory used [KB]: 1791
% 1.82/0.62  % (6807)Time elapsed: 0.023 s
% 1.82/0.62  % (6807)Instructions burned: 47 (million)
% 1.82/0.62  % (6807)------------------------------
% 1.82/0.62  % (6807)------------------------------
% 1.82/0.63  % (6804)Instruction limit reached!
% 1.82/0.63  % (6804)------------------------------
% 1.82/0.63  % (6804)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.82/0.63  % (6804)Termination reason: Unknown
% 1.82/0.63  % (6804)Termination phase: Saturation
% 1.82/0.63  
% 1.82/0.63  % (6804)Memory used [KB]: 6652
% 1.82/0.63  % (6804)Time elapsed: 0.058 s
% 1.82/0.63  % (6804)Instructions burned: 108 (million)
% 1.82/0.63  % (6804)------------------------------
% 1.82/0.63  % (6804)------------------------------
% 1.82/0.63  % (6809)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)
% 2.03/0.65  % (6810)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)
% 2.03/0.65  % (6792)Instruction limit reached!
% 2.03/0.65  % (6792)------------------------------
% 2.03/0.65  % (6792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.65  % (6792)Termination reason: Unknown
% 2.03/0.65  % (6792)Termination phase: Saturation
% 2.03/0.65  
% 2.03/0.65  % (6792)Memory used [KB]: 7036
% 2.03/0.65  % (6792)Time elapsed: 0.182 s
% 2.03/0.65  % (6792)Instructions burned: 378 (million)
% 2.03/0.65  % (6792)------------------------------
% 2.03/0.65  % (6792)------------------------------
% 2.03/0.65  % (6808)Instruction limit reached!
% 2.03/0.65  % (6808)------------------------------
% 2.03/0.65  % (6808)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.65  % (6808)Termination reason: Unknown
% 2.03/0.65  % (6808)Termination phase: Saturation
% 2.03/0.65  
% 2.03/0.65  % (6808)Memory used [KB]: 2174
% 2.03/0.65  % (6808)Time elapsed: 0.046 s
% 2.03/0.65  % (6808)Instructions burned: 99 (million)
% 2.03/0.65  % (6808)------------------------------
% 2.03/0.65  % (6808)------------------------------
% 2.03/0.67  % (6811)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.03/0.67  % (6812)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 (2997ds/6Mi)
% 2.03/0.67  % (6812)Instruction limit reached!
% 2.03/0.67  % (6812)------------------------------
% 2.03/0.67  % (6812)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.67  % (6812)Termination reason: Unknown
% 2.03/0.67  % (6812)Termination phase: shuffling
% 2.03/0.67  
% 2.03/0.67  % (6812)Memory used [KB]: 1279
% 2.03/0.67  % (6812)Time elapsed: 0.005 s
% 2.03/0.67  % (6812)Instructions burned: 6 (million)
% 2.03/0.67  % (6812)------------------------------
% 2.03/0.67  % (6812)------------------------------
% 2.03/0.68  % (6811)Instruction limit reached!
% 2.03/0.68  % (6811)------------------------------
% 2.03/0.68  % (6811)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.68  % (6811)Termination reason: Unknown
% 2.03/0.68  % (6811)Termination phase: Property scanning
% 2.03/0.68  
% 2.03/0.68  % (6811)Memory used [KB]: 1791
% 2.03/0.68  % (6811)Time elapsed: 0.020 s
% 2.03/0.68  % (6811)Instructions burned: 39 (million)
% 2.03/0.68  % (6811)------------------------------
% 2.03/0.68  % (6811)------------------------------
% 2.03/0.69  % (6813)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)
% 2.03/0.70  % (6814)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.03/0.70  % (6813)Refutation not found, incomplete strategy
% 2.03/0.70  % (6813)------------------------------
% 2.03/0.70  % (6813)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.70  % (6813)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.70  
% 2.03/0.70  
% 2.03/0.70  % (6813)Memory used [KB]: 6140
% 2.03/0.70  % (6813)Time elapsed: 0.016 s
% 2.03/0.70  % (6813)Instructions burned: 27 (million)
% 2.03/0.70  % (6813)------------------------------
% 2.03/0.70  % (6813)------------------------------
% 2.03/0.72  % (6815)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)
% 2.03/0.72  % (6810)Instruction limit reached!
% 2.03/0.72  % (6810)------------------------------
% 2.03/0.72  % (6810)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.72  % (6810)Termination reason: Unknown
% 2.03/0.72  % (6810)Termination phase: Saturation
% 2.03/0.72  
% 2.03/0.72  % (6810)Memory used [KB]: 6780
% 2.03/0.72  % (6810)Time elapsed: 0.075 s
% 2.03/0.72  % (6810)Instructions burned: 149 (million)
% 2.03/0.72  % (6810)------------------------------
% 2.03/0.72  % (6810)------------------------------
% 2.03/0.72  % (6814)Instruction limit reached!
% 2.03/0.72  % (6814)------------------------------
% 2.03/0.72  % (6814)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.03/0.72  % (6814)Termination reason: Unknown
% 2.03/0.72  % (6814)Termination phase: Property scanning
% 2.03/0.72  
% 2.03/0.72  % (6814)Memory used [KB]: 1791
% 2.03/0.72  % (6814)Time elapsed: 0.024 s
% 2.03/0.72  % (6814)Instructions burned: 47 (million)
% 2.03/0.72  % (6814)------------------------------
% 2.03/0.72  % (6814)------------------------------
% 2.60/0.73  % (6816)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)
% 2.60/0.73  % (6817)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)
% 2.60/0.73  % (6815)Instruction limit reached!
% 2.60/0.73  % (6815)------------------------------
% 2.60/0.73  % (6815)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.60/0.73  % (6815)Termination reason: Unknown
% 2.60/0.73  % (6815)Termination phase: Property scanning
% 2.60/0.73  
% 2.60/0.73  % (6815)Memory used [KB]: 1791
% 2.60/0.73  % (6815)Time elapsed: 0.021 s
% 2.60/0.73  % (6815)Instructions burned: 44 (million)
% 2.60/0.73  % (6815)------------------------------
% 2.60/0.73  % (6815)------------------------------
% 2.60/0.75  % (6818)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 (2996ds/31Mi)
% 2.60/0.76  % (6817)Instruction limit reached!
% 2.60/0.76  % (6817)------------------------------
% 2.60/0.76  % (6817)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.60/0.76  % (6817)Termination reason: Unknown
% 2.60/0.76  % (6817)Termination phase: Function definition elimination
% 2.60/0.76  
% 2.60/0.76  % (6817)Memory used [KB]: 1791
% 2.60/0.76  % (6817)Time elapsed: 0.028 s
% 2.60/0.76  % (6817)Instructions burned: 63 (million)
% 2.60/0.76  % (6817)------------------------------
% 2.60/0.76  % (6817)------------------------------
% 2.60/0.76  % (6818)Instruction limit reached!
% 2.60/0.76  % (6818)------------------------------
% 2.60/0.76  % (6818)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.60/0.76  % (6818)Termination reason: Unknown
% 2.60/0.76  % (6818)Termination phase: Property scanning
% 2.60/0.76  
% 2.60/0.76  % (6818)Memory used [KB]: 1791
% 2.60/0.76  % (6818)Time elapsed: 0.016 s
% 2.60/0.76  % (6818)Instructions burned: 32 (million)
% 2.60/0.76  % (6818)------------------------------
% 2.60/0.76  % (6818)------------------------------
% 2.60/0.77  % (6819)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.60/0.78  % (6820)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 (2996ds/453Mi)
% 2.60/0.78  % (6806)Instruction limit reached!
% 2.60/0.78  % (6806)------------------------------
% 2.60/0.78  % (6806)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.60/0.78  % (6806)Termination reason: Unknown
% 2.60/0.78  % (6806)Termination phase: Saturation
% 2.60/0.78  
% 2.60/0.78  % (6806)Memory used [KB]: 7164
% 2.60/0.78  % (6806)Time elapsed: 0.203 s
% 2.60/0.78  % (6806)Instructions burned: 448 (million)
% 2.60/0.78  % (6806)------------------------------
% 2.60/0.78  % (6806)------------------------------
% 3.09/0.80  % (6821)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)
% 3.09/0.81  % (6819)Instruction limit reached!
% 3.09/0.81  % (6819)------------------------------
% 3.09/0.81  % (6819)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.09/0.81  % (6819)Termination reason: Unknown
% 3.09/0.81  % (6819)Termination phase: Saturation
% 3.09/0.81  
% 3.09/0.81  % (6819)Memory used [KB]: 6652
% 3.09/0.81  % (6819)Time elapsed: 0.041 s
% 3.09/0.81  % (6819)Instructions burned: 96 (million)
% 3.09/0.81  % (6819)------------------------------
% 3.09/0.81  % (6819)------------------------------
% 3.09/0.83  % (6822)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)
% 3.09/0.83  % (6821)Instruction limit reached!
% 3.09/0.83  % (6821)------------------------------
% 3.09/0.83  % (6821)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.09/0.83  % (6821)Termination reason: Unknown
% 3.09/0.83  % (6821)Termination phase: Function definition elimination
% 3.09/0.83  
% 3.09/0.83  % (6821)Memory used [KB]: 1918
% 3.09/0.83  % (6821)Time elapsed: 0.032 s
% 3.09/0.83  % (6821)Instructions burned: 72 (million)
% 3.09/0.83  % (6821)------------------------------
% 3.09/0.83  % (6821)------------------------------
% 3.09/0.84  % (6793)Instruction limit reached!
% 3.09/0.84  % (6793)------------------------------
% 3.09/0.84  % (6793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.09/0.84  % (6793)Termination reason: Unknown
% 3.09/0.84  % (6793)Termination phase: Saturation
% 3.09/0.84  
% 3.09/0.84  % (6793)Memory used [KB]: 7291
% 3.09/0.84  % (6793)Time elapsed: 0.362 s
% 3.09/0.84  % (6793)Instructions burned: 781 (million)
% 3.09/0.84  % (6793)------------------------------
% 3.09/0.84  % (6793)------------------------------
% 3.09/0.84  % (6823)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)
% 3.09/0.85  % (6823)Instruction limit reached!
% 3.09/0.85  % (6823)------------------------------
% 3.09/0.85  % (6823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.09/0.85  % (6823)Termination reason: Unknown
% 3.09/0.85  % (6823)Termination phase: shuffling
% 3.09/0.85  
% 3.09/0.85  % (6823)Memory used [KB]: 1407
% 3.09/0.85  % (6823)Time elapsed: 0.007 s
% 3.09/0.85  % (6823)Instructions burned: 12 (million)
% 3.09/0.85  % (6823)------------------------------
% 3.09/0.85  % (6823)------------------------------
% 3.09/0.85  % (6824)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)
% 3.39/0.86  % (6825)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 3.40/0.86  % (6825)Instruction limit reached!
% 3.40/0.86  % (6825)------------------------------
% 3.40/0.86  % (6825)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.40/0.86  % (6825)Termination reason: Unknown
% 3.40/0.86  % (6825)Termination phase: shuffling
% 3.40/0.86  
% 3.40/0.86  % (6825)Memory used [KB]: 1407
% 3.40/0.86  % (6825)Time elapsed: 0.005 s
% 3.40/0.86  % (6825)Instructions burned: 7 (million)
% 3.40/0.86  % (6825)------------------------------
% 3.40/0.86  % (6825)------------------------------
% 3.40/0.86  % (6822)Instruction limit reached!
% 3.40/0.86  % (6822)------------------------------
% 3.40/0.86  % (6822)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.40/0.86  % (6822)Termination reason: Unknown
% 3.40/0.86  % (6822)Termination phase: Saturation
% 3.40/0.86  
% 3.40/0.86  % (6822)Memory used [KB]: 6524
% 3.40/0.86  % (6822)Time elapsed: 0.039 s
% 3.40/0.86  % (6822)Instructions burned: 85 (million)
% 3.40/0.86  % (6822)------------------------------
% 3.40/0.86  % (6822)------------------------------
% 3.40/0.86  % (6809)Instruction limit reached!
% 3.40/0.86  % (6809)------------------------------
% 3.40/0.86  % (6809)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.40/0.86  % (6809)Termination reason: Unknown
% 3.40/0.86  % (6809)Termination phase: Saturation
% 3.40/0.86  
% 3.40/0.86  % (6809)Memory used [KB]: 7675
% 3.40/0.86  % (6809)Time elapsed: 0.235 s
% 3.40/0.86  % (6809)Instructions burned: 507 (million)
% 3.40/0.86  % (6809)------------------------------
% 3.40/0.86  % (6809)------------------------------
% 3.40/0.87  % (6824)Instruction limit reached!
% 3.40/0.87  % (6824)------------------------------
% 3.40/0.87  % (6824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.40/0.87  % (6824)Termination reason: Unknown
% 3.40/0.87  % (6824)Termination phase: Property scanning
% 3.40/0.87  
% 3.40/0.87  % (6824)Memory used [KB]: 1791
% 3.40/0.87  % (6824)Time elapsed: 0.020 s
% 3.40/0.87  % (6824)Instructions burned: 43 (million)
% 3.40/0.87  % (6824)------------------------------
% 3.40/0.87  % (6824)------------------------------
% 3.40/0.88  % (6826)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2995ds/150Mi)
% 3.40/0.88  % (6827)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)
% 3.40/0.88  % (6828)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)
% 3.40/0.88  % (6829)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 (2995ds/253Mi)
% 3.40/0.89  % (6788)Instruction limit reached!
% 3.40/0.89  % (6788)------------------------------
% 3.40/0.89  % (6788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.40/0.89  % (6788)Termination reason: Unknown
% 3.40/0.89  % (6788)Termination phase: Saturation
% 3.40/0.89  
% 3.40/0.89  % (6788)Memory used [KB]: 8315
% 3.40/0.89  % (6788)Time elapsed: 0.432 s
% 3.40/0.89  % (6788)Instructions burned: 903 (million)
% 3.40/0.89  % (6788)------------------------------
% 3.40/0.89  % (6788)------------------------------
% 3.40/0.90  % (6830)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)
% 3.82/0.90  % (6777)Instruction limit reached!
% 3.82/0.90  % (6777)------------------------------
% 3.82/0.90  % (6777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.82/0.90  % (6777)Termination reason: Unknown
% 3.82/0.90  % (6777)Termination phase: Saturation
% 3.82/0.90  
% 3.82/0.90  % (6777)Memory used [KB]: 7931
% 3.82/0.90  % (6777)Time elapsed: 0.489 s
% 3.82/0.90  % (6777)Instructions burned: 1042 (million)
% 3.82/0.90  % (6777)------------------------------
% 3.82/0.90  % (6777)------------------------------
% 3.82/0.92  % (6831)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)
% 3.82/0.92  % (6830)Refutation not found, incomplete strategy
% 3.82/0.92  % (6830)------------------------------
% 3.82/0.92  % (6830)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.82/0.92  % (6830)Termination reason: Refutation not found, incomplete strategy
% 3.82/0.92  
% 3.82/0.92  
% 3.82/0.92  % (6830)Memory used [KB]: 6268
% 3.82/0.92  % (6830)Time elapsed: 0.024 s
% 3.82/0.92  % (6830)Instructions burned: 49 (million)
% 3.82/0.92  % (6830)------------------------------
% 3.82/0.92  % (6830)------------------------------
% 3.82/0.92  % (6816)Instruction limit reached!
% 3.82/0.92  % (6816)------------------------------
% 3.82/0.92  % (6816)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.82/0.92  % (6816)Termination reason: Unknown
% 3.82/0.92  % (6816)Termination phase: Saturation
% 3.82/0.92  
% 3.82/0.92  % (6816)Memory used [KB]: 3198
% 3.82/0.92  % (6816)Time elapsed: 0.190 s
% 3.82/0.92  % (6816)Instructions burned: 432 (million)
% 3.82/0.92  % (6816)------------------------------
% 3.82/0.92  % (6816)------------------------------
% 3.82/0.92  % (6828)Instruction limit reached!
% 3.82/0.92  % (6828)------------------------------
% 3.82/0.92  % (6828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.82/0.92  % (6828)Termination reason: Unknown
% 3.82/0.92  % (6828)Termination phase: Saturation
% 3.82/0.92  
% 3.82/0.92  % (6828)Memory used [KB]: 6652
% 3.82/0.92  % (6828)Time elapsed: 0.048 s
% 3.82/0.92  % (6828)Instructions burned: 109 (million)
% 3.82/0.92  % (6828)------------------------------
% 3.82/0.92  % (6828)------------------------------
% 3.82/0.93  % (6832)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)
% 3.82/0.94  % (6833)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)
% 4.14/0.94  % (6834)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)
% 4.14/0.94  % (6826)Instruction limit reached!
% 4.14/0.94  % (6826)------------------------------
% 4.14/0.94  % (6826)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.14/0.94  % (6826)Termination reason: Unknown
% 4.14/0.94  % (6826)Termination phase: Property scanning
% 4.14/0.94  
% 4.14/0.94  % (6826)Memory used [KB]: 2942
% 4.14/0.94  % (6826)Time elapsed: 0.067 s
% 4.14/0.94  % (6826)Instructions burned: 152 (million)
% 4.14/0.94  % (6826)------------------------------
% 4.14/0.94  % (6826)------------------------------
% 4.14/0.95  % (6832)Refutation not found, incomplete strategy
% 4.14/0.95  % (6832)------------------------------
% 4.14/0.95  % (6832)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.14/0.95  % (6832)Termination reason: Refutation not found, incomplete strategy
% 4.14/0.95  
% 4.14/0.95  
% 4.14/0.95  % (6832)Memory used [KB]: 6140
% 4.14/0.95  % (6832)Time elapsed: 0.014 s
% 4.14/0.95  % (6832)Instructions burned: 27 (million)
% 4.14/0.95  % (6832)------------------------------
% 4.14/0.95  % (6832)------------------------------
% 4.14/0.96  % (6835)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)
% 4.14/0.96  % (6836)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2994ds/298Mi)
% 4.14/0.97  % (6820)Instruction limit reached!
% 4.14/0.97  % (6820)------------------------------
% 4.14/0.97  % (6820)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.14/0.97  % (6820)Termination reason: Unknown
% 4.14/0.97  % (6820)Termination phase: Saturation
% 4.14/0.97  
% 4.14/0.97  % (6820)Memory used [KB]: 7291
% 4.14/0.97  % (6820)Time elapsed: 0.197 s
% 4.14/0.97  % (6820)Instructions burned: 453 (million)
% 4.14/0.97  % (6820)------------------------------
% 4.14/0.97  % (6820)------------------------------
% 4.14/0.98  % (6837)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2994ds/192Mi)
% 4.14/1.01  % (6829)Instruction limit reached!
% 4.14/1.01  % (6829)------------------------------
% 4.14/1.01  % (6829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.14/1.01  % (6829)Termination reason: Unknown
% 4.14/1.01  % (6829)Termination phase: Saturation
% 4.14/1.01  
% 4.14/1.01  % (6829)Memory used [KB]: 7419
% 4.14/1.01  % (6829)Time elapsed: 0.133 s
% 4.14/1.01  % (6829)Instructions burned: 254 (million)
% 4.14/1.01  % (6829)------------------------------
% 4.14/1.01  % (6829)------------------------------
% 4.14/1.01  % (6835)Instruction limit reached!
% 4.14/1.01  % (6835)------------------------------
% 4.14/1.01  % (6835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.14/1.01  % (6835)Termination reason: Unknown
% 4.14/1.01  % (6835)Termination phase: Saturation
% 4.14/1.01  
% 4.14/1.01  % (6835)Memory used [KB]: 6780
% 4.14/1.01  % (6835)Time elapsed: 0.081 s
% 4.14/1.01  % (6835)Instructions burned: 135 (million)
% 4.14/1.01  % (6835)------------------------------
% 4.14/1.01  % (6835)------------------------------
% 4.14/1.02  % (6834)First to succeed.
% 4.14/1.03  % (6838)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)
% 4.14/1.03  % (6839)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)
% 4.14/1.03  % (6827)Instruction limit reached!
% 4.14/1.03  % (6827)------------------------------
% 4.14/1.03  % (6827)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.14/1.03  % (6827)Termination reason: Unknown
% 4.14/1.03  % (6827)Termination phase: Saturation
% 4.14/1.03  
% 4.14/1.03  % (6827)Memory used [KB]: 6908
% 4.14/1.03  % (6827)Time elapsed: 0.153 s
% 4.14/1.03  % (6827)Instructions burned: 343 (million)
% 4.14/1.03  % (6827)------------------------------
% 4.14/1.03  % (6827)------------------------------
% 4.14/1.03  % (6834)Refutation found. Thanks to Tanya!
% 4.14/1.03  % SZS status Theorem for theBenchmark
% 4.14/1.03  % SZS output start Proof for theBenchmark
% See solution above
% 4.14/1.03  % (6834)------------------------------
% 4.14/1.03  % (6834)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.14/1.03  % (6834)Termination reason: Refutation
% 4.14/1.03  
% 4.14/1.03  % (6834)Memory used [KB]: 7291
% 4.14/1.03  % (6834)Time elapsed: 0.113 s
% 4.14/1.03  % (6834)Instructions burned: 196 (million)
% 4.14/1.03  % (6834)------------------------------
% 4.14/1.03  % (6834)------------------------------
% 4.14/1.03  % (6765)Success in time 0.67 s
% 4.14/1.03  % Vampire---4.8 exiting
%------------------------------------------------------------------------------