TSTP Solution File: ALG265^2 by Vampire---4.9

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%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : ALG265^2 : TPTP v8.2.0. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n005.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 Jun 24 04:08:50 EDT 2024

% Result   : Theorem 4.01s 0.95s
% Output   : Refutation 4.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   94 (  68 unt;  24 typ;   0 def)
%            Number of atoms       :  409 ( 125 equ;   0 cnn)
%            Maximal formula atoms :    2 (   5 avg)
%            Number of connectives : 1849 (   7   ~;   0   |;   0   &;1552   @)
%                                         (   0 <=>; 112  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :  171 ( 171   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   28 (  24 usr;  14 con; 0-4 aty)
%                                         ( 178  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  299 ( 238   ^  60   !;   0   ?; 299   :)
%                                         (   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_141,type,
    ph0: 
      !>[X0: $tType] : X0 ).

thf(func_def_142,type,
    sK1: subst > term > subst > $o ).

thf(func_def_143,type,
    sK2: term ).

thf(func_def_144,type,
    sK3: term ).

thf(func_def_145,type,
    sK4: subst ).

thf(func_def_146,type,
    sK5: subst ).

thf(f1248,plain,
    $false,
    inference(trivial_inequality_removal,[],[f1247]) ).

thf(f1247,plain,
    $false = $true,
    inference(boolean_simplification,[],[f1246]) ).

thf(f1246,plain,
    ( $false
    = ( ( sub @ sK2 @ ( comp @ ( push @ sK3 @ sK4 ) @ sK5 ) )
      = ( sub @ sK2 @ ( comp @ ( push @ sK3 @ sK4 ) @ sK5 ) ) ) ),
    inference(forward_demodulation,[],[f1245,f624]) ).

thf(f624,plain,
    ! [X2: term,X3: subst,X1: subst] :
      ( ( push @ ( sub @ X2 @ X3 ) @ ( comp @ X1 @ X3 ) )
      = ( comp @ ( push @ X2 @ X1 ) @ X3 ) ),
    inference(equality_proxy_clausification,[],[f623]) ).

thf(f623,plain,
    ! [X2: term,X3: subst,X1: subst] :
      ( $true
      = ( ( push @ ( sub @ X2 @ X3 ) @ ( comp @ X1 @ X3 ) )
        = ( comp @ ( push @ X2 @ X1 ) @ X3 ) ) ),
    inference(beta_eta_normalization,[],[f622]) ).

thf(f622,plain,
    ! [X2: term,X3: subst,X1: subst] :
      ( $true
      = ( ^ [Y0: subst] :
            ( ( push @ ( sub @ X2 @ Y0 ) @ ( comp @ X1 @ Y0 ) )
            = ( comp @ ( push @ X2 @ X1 ) @ Y0 ) )
        @ X3 ) ),
    inference(pi_clausification,[],[f621]) ).

thf(f621,plain,
    ! [X2: term,X1: subst] :
      ( ( !! @ subst
        @ ^ [Y0: subst] :
            ( ( push @ ( sub @ X2 @ Y0 ) @ ( comp @ X1 @ Y0 ) )
            = ( comp @ ( push @ X2 @ X1 ) @ Y0 ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f620]) ).

thf(f620,plain,
    ! [X2: term,X1: subst] :
      ( ( ^ [Y0: term] :
            ( !! @ subst
            @ ^ [Y1: subst] :
                ( ( push @ ( sub @ Y0 @ Y1 ) @ ( comp @ X1 @ Y1 ) )
                = ( comp @ ( push @ Y0 @ X1 ) @ Y1 ) ) )
        @ X2 )
      = $true ),
    inference(pi_clausification,[],[f589]) ).

thf(f589,plain,
    ! [X1: subst] :
      ( ( !! @ term
        @ ^ [Y0: term] :
            ( !! @ subst
            @ ^ [Y1: subst] :
                ( ( push @ ( sub @ Y0 @ Y1 ) @ ( comp @ X1 @ Y1 ) )
                = ( comp @ ( push @ Y0 @ X1 ) @ Y1 ) ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f585]) ).

thf(f585,plain,
    ! [X1: subst] :
      ( ( ^ [Y0: subst] :
            ( !! @ term
            @ ^ [Y1: term] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( ( push @ ( sub @ Y1 @ Y2 ) @ ( comp @ Y0 @ Y2 ) )
                    = ( comp @ ( push @ Y1 @ Y0 ) @ Y2 ) ) ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f575]) ).

thf(f575,plain,
    ( ( !! @ subst
      @ ^ [Y0: subst] :
          ( !! @ term
          @ ^ [Y1: term] :
              ( !! @ subst
              @ ^ [Y2: subst] :
                  ( ( push @ ( sub @ Y1 @ Y2 ) @ ( comp @ Y0 @ Y2 ) )
                  = ( comp @ ( push @ Y1 @ Y0 ) @ Y2 ) ) ) ) )
    = $true ),
    inference(binary_proxy_clausification,[],[f531]) ).

thf(f531,plain,
    ( $false
    = ( ( !! @ subst
        @ ^ [Y0: subst] :
            ( !! @ term
            @ ^ [Y1: term] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( ( push @ ( sub @ Y1 @ Y2 ) @ ( comp @ Y0 @ Y2 ) )
                    = ( comp @ ( push @ Y1 @ Y0 ) @ Y2 ) ) ) ) )
     => ( !! @ ( 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(binary_proxy_clausification,[],[f530]) ).

thf(f530,plain,
    ( $false
    = ( ( !! @ term
        @ ^ [Y0: term] :
            ( !! @ subst
            @ ^ [Y1: subst] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
                    = ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
     => ( ( !! @ subst
          @ ^ [Y0: subst] :
              ( !! @ term
              @ ^ [Y1: term] :
                  ( !! @ subst
                  @ ^ [Y2: subst] :
                      ( ( push @ ( sub @ Y1 @ Y2 ) @ ( comp @ Y0 @ Y2 ) )
                      = ( comp @ ( push @ Y1 @ Y0 ) @ Y2 ) ) ) ) )
       => ( !! @ ( 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,[],[f529]) ).

thf(f529,plain,
    ( $true
    = ( ~ ( ( !! @ term
            @ ^ [Y0: term] :
                ( !! @ subst
                @ ^ [Y1: subst] :
                    ( !! @ subst
                    @ ^ [Y2: subst] :
                        ( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
                        = ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
         => ( ( !! @ subst
              @ ^ [Y0: subst] :
                  ( !! @ term
                  @ ^ [Y1: term] :
                      ( !! @ subst
                      @ ^ [Y2: subst] :
                          ( ( push @ ( sub @ Y1 @ Y2 ) @ ( comp @ Y0 @ Y2 ) )
                          = ( comp @ ( push @ Y1 @ Y0 ) @ Y2 ) ) ) ) )
           => ( !! @ ( 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,[],[f528]) ).

thf(f528,plain,
    ( $true
    = ( ~ ( ( !! @ term
            @ ^ [Y0: term] :
                ( !! @ subst
                @ ^ [Y1: subst] :
                    ( !! @ subst
                    @ ^ [Y2: subst] :
                        ( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
                        = ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
         => ( ( !! @ subst
              @ ^ [Y0: subst] :
                  ( !! @ term
                  @ ^ [Y1: term] :
                      ( !! @ subst
                      @ ^ [Y2: subst] :
                          ( ( push @ ( sub @ Y1 @ Y2 ) @ ( comp @ Y0 @ Y2 ) )
                          = ( comp @ ( push @ Y1 @ Y0 ) @ Y2 ) ) ) ) )
           => ( !! @ ( 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,[],[f433,f481]) ).

thf(f481,plain,
    ( hoasinduction_lem3aa_lthm
    = ( ( !! @ term
        @ ^ [Y0: term] :
            ( !! @ subst
            @ ^ [Y1: subst] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
                    = ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
     => ( ( !! @ subst
          @ ^ [Y0: subst] :
              ( !! @ term
              @ ^ [Y1: term] :
                  ( !! @ subst
                  @ ^ [Y2: subst] :
                      ( ( push @ ( sub @ Y1 @ Y2 ) @ ( comp @ Y0 @ Y2 ) )
                      = ( comp @ ( push @ Y1 @ Y0 ) @ Y2 ) ) ) ) )
       => ( !! @ ( 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,[],[f400,f347,f432,f480]) ).

thf(f480,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,[],[f361,f390]) ).

thf(f390,plain,
    ( hoaslam
    = ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
    inference(cnf_transformation,[],[f155]) ).

thf(f155,plain,
    ( hoaslam
    = ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
    inference(fool_elimination,[],[f154]) ).

thf(f154,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/sandbox2/benchmark/theBenchmark.p',hoaslam) ).

thf(f361,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,[],[f146]) ).

thf(f146,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,[],[f145]) ).

thf(f145,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/sandbox2/benchmark/theBenchmark.p',hoasinduction_lem3aa) ).

thf(f432,plain,
    ( axmap
    = ( !! @ subst
      @ ^ [Y0: subst] :
          ( !! @ term
          @ ^ [Y1: term] :
              ( !! @ subst
              @ ^ [Y2: subst] :
                  ( ( push @ ( sub @ Y1 @ Y2 ) @ ( comp @ Y0 @ Y2 ) )
                  = ( comp @ ( push @ Y1 @ Y0 ) @ Y2 ) ) ) ) ) ),
    inference(cnf_transformation,[],[f136]) ).

thf(f136,plain,
    ( axmap
    = ( !! @ subst
      @ ^ [Y0: subst] :
          ( !! @ term
          @ ^ [Y1: term] :
              ( !! @ subst
              @ ^ [Y2: subst] :
                  ( ( push @ ( sub @ Y1 @ Y2 ) @ ( comp @ Y0 @ Y2 ) )
                  = ( comp @ ( push @ Y1 @ Y0 ) @ Y2 ) ) ) ) ) ),
    inference(fool_elimination,[],[f135]) ).

thf(f135,plain,
    ! [X0: subst,X1: term,X2: subst] :
      ( ( ( push @ ( sub @ X1 @ X0 ) @ ( comp @ X2 @ X0 ) )
        = ( comp @ ( push @ X1 @ X2 ) @ X0 ) )
      = axmap ),
    inference(rectify,[],[f9]) ).

thf(f9,axiom,
    ! [X3: subst,X0: term,X2: subst] :
      ( ( ( comp @ ( push @ X0 @ X2 ) @ X3 )
        = ( push @ ( sub @ X0 @ X3 ) @ ( comp @ X2 @ X3 ) ) )
      = axmap ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axmap) ).

thf(f347,plain,
    ( axclos
    = ( !! @ term
      @ ^ [Y0: term] :
          ( !! @ subst
          @ ^ [Y1: subst] :
              ( !! @ subst
              @ ^ [Y2: subst] :
                  ( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
                  = ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f288]) ).

thf(f288,plain,
    ( axclos
    = ( !! @ term
      @ ^ [Y0: term] :
          ( !! @ subst
          @ ^ [Y1: subst] :
              ( !! @ subst
              @ ^ [Y2: subst] :
                  ( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
                  = ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f287]) ).

thf(f287,plain,
    ( axclos
    = ( ! [X0: subst,X1: subst,X2: term] :
          ( ( sub @ ( sub @ X2 @ X1 ) @ X0 )
          = ( sub @ X2 @ ( comp @ X1 @ X0 ) ) ) ) ),
    inference(rectify,[],[f5]) ).

thf(f5,axiom,
    ( axclos
    = ( ! [X3: subst,X2: subst,X0: term] :
          ( ( sub @ ( sub @ X0 @ X2 ) @ X3 )
          = ( sub @ X0 @ ( comp @ X2 @ X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axclos) ).

thf(f400,plain,
    ( hoasinduction_lem3aa_lthm
    = ( axclos
     => ( axmap
       => hoasinduction_lem3aa ) ) ),
    inference(cnf_transformation,[],[f124]) ).

thf(f124,plain,
    ( hoasinduction_lem3aa_lthm
    = ( axclos
     => ( axmap
       => hoasinduction_lem3aa ) ) ),
    inference(fool_elimination,[],[f123]) ).

thf(f123,plain,
    ( axclos
   => ( ( axmap
       => hoasinduction_lem3aa )
      = hoasinduction_lem3aa_lthm ) ),
    inference(rectify,[],[f97]) ).

thf(f97,axiom,
    ( axclos
   => ( ( axmap
       => hoasinduction_lem3aa )
      = hoasinduction_lem3aa_lthm ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hoasinduction_lem3aa_lthm) ).

thf(f433,plain,
    ( ~ hoasinduction_lem3aa_lthm = $true ),
    inference(cnf_transformation,[],[f193]) ).

thf(f193,plain,
    ( ~ hoasinduction_lem3aa_lthm = $true ),
    inference(fool_elimination,[],[f192]) ).

thf(f192,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/sandbox2/benchmark/theBenchmark.p',thm) ).

thf(f1245,plain,
    ( $false
    = ( ( sub @ sK2 @ ( comp @ ( push @ sK3 @ sK4 ) @ sK5 ) )
      = ( sub @ sK2 @ ( push @ ( sub @ sK3 @ sK5 ) @ ( comp @ sK4 @ sK5 ) ) ) ) ),
    inference(forward_demodulation,[],[f1244,f545]) ).

thf(f545,plain,
    ! [X2: subst,X3: subst,X1: term] :
      ( ( sub @ ( sub @ X1 @ X2 ) @ X3 )
      = ( sub @ X1 @ ( comp @ X2 @ X3 ) ) ),
    inference(equality_proxy_clausification,[],[f544]) ).

thf(f544,plain,
    ! [X2: subst,X3: subst,X1: term] :
      ( $true
      = ( ( sub @ ( sub @ X1 @ X2 ) @ X3 )
        = ( sub @ X1 @ ( comp @ X2 @ X3 ) ) ) ),
    inference(beta_eta_normalization,[],[f543]) ).

thf(f543,plain,
    ! [X2: subst,X3: subst,X1: term] :
      ( ( ^ [Y0: subst] :
            ( ( sub @ ( sub @ X1 @ X2 ) @ Y0 )
            = ( sub @ X1 @ ( comp @ X2 @ Y0 ) ) )
        @ X3 )
      = $true ),
    inference(pi_clausification,[],[f542]) ).

thf(f542,plain,
    ! [X2: subst,X1: term] :
      ( ( !! @ subst
        @ ^ [Y0: subst] :
            ( ( sub @ ( sub @ X1 @ X2 ) @ Y0 )
            = ( sub @ X1 @ ( comp @ X2 @ Y0 ) ) ) )
      = $true ),
    inference(beta_eta_normalization,[],[f541]) ).

thf(f541,plain,
    ! [X2: subst,X1: term] :
      ( ( ^ [Y0: subst] :
            ( !! @ subst
            @ ^ [Y1: subst] :
                ( ( sub @ ( sub @ X1 @ Y0 ) @ Y1 )
                = ( sub @ X1 @ ( comp @ Y0 @ Y1 ) ) ) )
        @ X2 )
      = $true ),
    inference(pi_clausification,[],[f538]) ).

thf(f538,plain,
    ! [X1: term] :
      ( $true
      = ( !! @ subst
        @ ^ [Y0: subst] :
            ( !! @ subst
            @ ^ [Y1: subst] :
                ( ( sub @ ( sub @ X1 @ Y0 ) @ Y1 )
                = ( sub @ X1 @ ( comp @ Y0 @ Y1 ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f535]) ).

thf(f535,plain,
    ! [X1: term] :
      ( $true
      = ( ^ [Y0: term] :
            ( !! @ subst
            @ ^ [Y1: subst] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
                    = ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) )
        @ X1 ) ),
    inference(pi_clausification,[],[f532]) ).

thf(f532,plain,
    ( $true
    = ( !! @ term
      @ ^ [Y0: term] :
          ( !! @ subst
          @ ^ [Y1: subst] :
              ( !! @ subst
              @ ^ [Y2: subst] :
                  ( ( sub @ ( sub @ Y0 @ Y1 ) @ Y2 )
                  = ( sub @ Y0 @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f530]) ).

thf(f1244,plain,
    ( $false
    = ( ( sub @ ( sub @ sK2 @ ( push @ sK3 @ sK4 ) ) @ sK5 )
      = ( sub @ sK2 @ ( push @ ( sub @ sK3 @ sK5 ) @ ( comp @ sK4 @ sK5 ) ) ) ) ),
    inference(beta_eta_normalization,[],[f1243]) ).

thf(f1243,plain,
    ( $false
    = ( ^ [Y0: subst] :
          ( ( sub @ ( sub @ sK2 @ ( push @ sK3 @ sK4 ) ) @ Y0 )
          = ( sub @ sK2 @ ( push @ ( sub @ sK3 @ Y0 ) @ ( comp @ sK4 @ Y0 ) ) ) )
      @ sK5 ) ),
    inference(sigma_clausification,[],[f1242]) ).

thf(f1242,plain,
    ( ( !! @ subst
      @ ^ [Y0: subst] :
          ( ( sub @ ( sub @ sK2 @ ( push @ sK3 @ sK4 ) ) @ Y0 )
          = ( sub @ sK2 @ ( push @ ( sub @ sK3 @ Y0 ) @ ( comp @ sK4 @ Y0 ) ) ) ) )
    = $false ),
    inference(beta_eta_normalization,[],[f1241]) ).

thf(f1241,plain,
    ( $false
    = ( ^ [Y0: subst] :
          ( !! @ subst
          @ ^ [Y1: subst] :
              ( ( sub @ ( sub @ sK2 @ ( push @ sK3 @ Y0 ) ) @ Y1 )
              = ( sub @ sK2 @ ( push @ ( sub @ sK3 @ Y1 ) @ ( comp @ Y0 @ Y1 ) ) ) ) )
      @ sK4 ) ),
    inference(sigma_clausification,[],[f1240]) ).

thf(f1240,plain,
    ( $false
    = ( !! @ subst
      @ ^ [Y0: subst] :
          ( !! @ subst
          @ ^ [Y1: subst] :
              ( ( sub @ ( sub @ sK2 @ ( push @ sK3 @ Y0 ) ) @ Y1 )
              = ( sub @ sK2 @ ( push @ ( sub @ sK3 @ Y1 ) @ ( comp @ Y0 @ Y1 ) ) ) ) ) ) ),
    inference(beta_eta_normalization,[],[f1234]) ).

thf(f1234,plain,
    ( ( ^ [Y0: term] :
          ( !! @ subst
          @ ^ [Y1: subst] :
              ( !! @ subst
              @ ^ [Y2: subst] :
                  ( ( sub @ ( sub @ sK2 @ ( push @ Y0 @ Y1 ) ) @ Y2 )
                  = ( sub @ sK2 @ ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) )
      @ sK3 )
    = $false ),
    inference(sigma_clausification,[],[f1233]) ).

thf(f1233,plain,
    ( $false
    = ( !! @ term
      @ ^ [Y0: term] :
          ( !! @ subst
          @ ^ [Y1: subst] :
              ( !! @ subst
              @ ^ [Y2: subst] :
                  ( ( sub @ ( sub @ sK2 @ ( push @ Y0 @ Y1 ) ) @ Y2 )
                  = ( sub @ sK2 @ ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f869]) ).

thf(f869,plain,
    ( $true
    = ( ~ ( !! @ term
          @ ^ [Y0: term] :
              ( !! @ subst
              @ ^ [Y1: subst] :
                  ( !! @ subst
                  @ ^ [Y2: subst] :
                      ( ( sub @ ( sub @ sK2 @ ( push @ Y0 @ Y1 ) ) @ Y2 )
                      = ( sub @ sK2 @ ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) ) ) ),
    inference(boolean_simplification,[],[f868]) ).

thf(f868,plain,
    ( $true
    = ( ( !! @ term
        @ ^ [Y0: term] :
            ( !! @ subst
            @ ^ [Y1: subst] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( ( sub @ ( sub @ sK2 @ ( push @ Y0 @ Y1 ) ) @ Y2 )
                    = ( sub @ sK2 @ ( push @ ( sub @ Y0 @ Y2 ) @ ( comp @ Y1 @ Y2 ) ) ) ) ) ) )
     => $false ) ),
    inference(beta_eta_normalization,[],[f864]) ).

thf(f864,plain,
    ( ( ( !! @ term
        @ ^ [Y0: term] :
            ( !! @ subst
            @ ^ [Y1: subst] :
                ( !! @ subst
                @ ^ [Y2: subst] :
                    ( ( sub
                      @ ( ^ [Y3: subst,Y4: term] :
                            ( sub
                            @ ( ^ [Y5: subst,Y6: term] : sK2
                              @ 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] : sK2
                            @ 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,[],[f850,f841]) ).

thf(f841,plain,
    ( ( ( !! @ term
        @ ^ [Y0: term] :
            ( ( sK1 @ id @ Y0 @ id )
           => ( sK1 @ id @ ( sub @ sK2 @ ( push @ Y0 @ id ) ) @ id ) ) )
     => ( sK1 @ id @ ( lam @ ( sub @ sK2 @ ( push @ one @ sh ) ) ) @ id ) )
    = $false ),
    inference(beta_eta_normalization,[],[f839]) ).

thf(f839,plain,
    ( $false
    = ( ^ [Y0: term] :
          ( ( !! @ term
            @ ^ [Y1: term] :
                ( ( sK1 @ id @ Y1 @ id )
               => ( sK1 @ id @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) @ id ) ) )
         => ( sK1 @ id @ ( lam @ ( sub @ Y0 @ ( push @ one @ sh ) ) ) @ id ) )
      @ sK2 ) ),
    inference(sigma_clausification,[],[f662]) ).

thf(f662,plain,
    ( $false
    = ( !! @ term
      @ ^ [Y0: term] :
          ( ( !! @ term
            @ ^ [Y1: term] :
                ( ( sK1 @ id @ Y1 @ id )
               => ( sK1 @ id @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) @ id ) ) )
         => ( sK1 @ id @ ( lam @ ( sub @ Y0 @ ( push @ one @ sh ) ) ) @ id ) ) ) ),
    inference(binary_proxy_clausification,[],[f641]) ).

thf(f641,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] :
                    ( ( sK1 @ id @ Y1 @ id )
                   => ( sK1 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
             => ( sK1 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) )
     => ( !! @ term
        @ ^ [Y0: term] :
            ( ( !! @ term
              @ ^ [Y1: term] :
                  ( ( sK1 @ id @ Y1 @ id )
                 => ( sK1 @ id @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) @ id ) ) )
           => ( sK1 @ id @ ( lam @ ( sub @ Y0 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ),
    inference(beta_eta_normalization,[],[f637]) ).

thf(f637,plain,
    ( $false
    = ( ^ [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 ) ) ) )
      @ sK1 ) ),
    inference(sigma_clausification,[],[f574]) ).

thf(f574,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(binary_proxy_clausification,[],[f531]) ).

thf(f850,plain,
    ! [X1: subst > term > term] :
      ( $true
      = ( ( !! @ term
          @ ^ [Y0: term] :
              ( !! @ subst
              @ ^ [Y1: subst] :
                  ( !! @ subst
                  @ ^ [Y2: subst] :
                      ( ( sub @ ( X1 @ Y1 @ Y0 ) @ Y2 )
                      = ( X1 @ ( comp @ Y1 @ Y2 ) @ ( sub @ Y0 @ Y2 ) ) ) ) ) )
       => ( ( !! @ term
            @ ^ [Y0: term] :
                ( ( sK1 @ id @ Y0 @ id )
               => ( sK1 @ id @ ( X1 @ id @ Y0 ) @ id ) ) )
         => ( sK1 @ id @ ( lam @ ( X1 @ sh @ one ) ) @ id ) ) ) ),
    inference(beta_eta_normalization,[],[f847]) ).

thf(f847,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] :
                    ( ( sK1 @ id @ Y1 @ id )
                   => ( sK1 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
             => ( sK1 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) )
        @ X1 )
      = $true ),
    inference(pi_clausification,[],[f663]) ).

thf(f663,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] :
                  ( ( sK1 @ id @ Y1 @ id )
                 => ( sK1 @ id @ ( Y0 @ id @ Y1 ) @ id ) ) )
           => ( sK1 @ id @ ( lam @ ( Y0 @ sh @ one ) ) @ id ) ) ) ) ),
    inference(binary_proxy_clausification,[],[f641]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem    : ALG265^2 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.00/0.06  % Command    : run_vampire %s %d THM
% 0.05/0.25  % Computer : n005.cluster.edu
% 0.05/0.25  % Model    : x86_64 x86_64
% 0.05/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.25  % Memory   : 8042.1875MB
% 0.05/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.05/0.25  % CPULimit   : 300
% 0.05/0.25  % WCLimit    : 300
% 0.05/0.25  % DateTime   : Wed Jun 19 17:37:53 EDT 2024
% 0.05/0.25  % CPUTime    : 
% 0.05/0.27  This is a TH0_THM_EQU_NAR problem
% 0.05/0.27  Running higher-order theorem proving
% 0.05/0.27  Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.05/0.31  % (24563)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.05/0.31  % (24558)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)
% 0.05/0.31  % (24559)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)
% 0.05/0.31  % (24561)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)
% 0.05/0.31  % (24562)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)
% 0.05/0.31  % (24557)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.05/0.31  % (24560)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.31  % (24560)Instruction limit reached!
% 0.11/0.31  % (24560)------------------------------
% 0.11/0.31  % (24560)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.31  % (24560)Termination reason: Unknown
% 0.11/0.31  % (24561)Instruction limit reached!
% 0.11/0.31  % (24561)------------------------------
% 0.11/0.31  % (24561)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.31  % (24560)Termination phase: shuffling
% 0.11/0.31  
% 0.11/0.31  % (24560)Memory used [KB]: 1279
% 0.11/0.31  % (24560)Time elapsed: 0.004 s
% 0.11/0.31  % (24560)Instructions burned: 2 (million)
% 0.11/0.31  % (24560)------------------------------
% 0.11/0.31  % (24560)------------------------------
% 0.11/0.31  % (24561)Termination reason: Unknown
% 0.11/0.31  % (24561)Termination phase: shuffling
% 0.11/0.31  
% 0.11/0.31  % (24561)Memory used [KB]: 1279
% 0.11/0.31  % (24561)Time elapsed: 0.004 s
% 0.11/0.31  % (24561)Instructions burned: 3 (million)
% 0.11/0.31  % (24561)------------------------------
% 0.11/0.31  % (24561)------------------------------
% 0.11/0.31  % (24558)Instruction limit reached!
% 0.11/0.31  % (24558)------------------------------
% 0.11/0.31  % (24558)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.31  % (24558)Termination reason: Unknown
% 0.11/0.31  % (24558)Termination phase: shuffling
% 0.11/0.31  
% 0.11/0.31  % (24558)Memory used [KB]: 1279
% 0.11/0.31  % (24558)Time elapsed: 0.004 s
% 0.11/0.31  % (24558)Instructions burned: 4 (million)
% 0.11/0.31  % (24558)------------------------------
% 0.11/0.31  % (24558)------------------------------
% 0.11/0.32  % (24563)Instruction limit reached!
% 0.11/0.32  % (24563)------------------------------
% 0.11/0.32  % (24563)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.32  % (24563)Termination reason: Unknown
% 0.11/0.32  % (24563)Termination phase: Property scanning
% 0.11/0.32  
% 0.11/0.32  % (24563)Memory used [KB]: 1663
% 0.11/0.32  % (24563)Time elapsed: 0.013 s
% 0.11/0.32  % (24563)Instructions burned: 19 (million)
% 0.11/0.32  % (24563)------------------------------
% 0.11/0.32  % (24563)------------------------------
% 0.11/0.32  % (24559)Instruction limit reached!
% 0.11/0.32  % (24559)------------------------------
% 0.11/0.32  % (24559)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.32  % (24559)Termination reason: Unknown
% 0.11/0.32  % (24559)Termination phase: Property scanning
% 0.11/0.32  
% 0.11/0.32  % (24559)Memory used [KB]: 1791
% 0.11/0.32  % (24559)Time elapsed: 0.017 s
% 0.11/0.32  % (24559)Instructions burned: 28 (million)
% 0.11/0.32  % (24559)------------------------------
% 0.11/0.32  % (24559)------------------------------
% 0.11/0.32  % (24562)Refutation not found, incomplete strategy
% 0.11/0.32  % (24562)------------------------------
% 0.11/0.32  % (24562)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.32  % (24562)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.32  
% 0.11/0.32  
% 0.11/0.32  % (24562)Memory used [KB]: 6140
% 0.11/0.32  % (24562)Time elapsed: 0.019 s
% 0.11/0.32  % (24562)Instructions burned: 27 (million)
% 0.11/0.32  % (24562)------------------------------
% 0.11/0.32  % (24562)------------------------------
% 0.11/0.32  % (24564)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)
% 0.11/0.32  % (24565)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)
% 0.11/0.32  % (24566)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)
% 0.11/0.33  % (24564)Instruction limit reached!
% 0.11/0.33  % (24564)------------------------------
% 0.11/0.33  % (24564)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.33  % (24564)Termination reason: Unknown
% 0.11/0.33  % (24564)Termination phase: shuffling
% 0.11/0.33  
% 0.11/0.33  % (24564)Memory used [KB]: 1279
% 0.11/0.33  % (24564)Time elapsed: 0.004 s
% 0.11/0.33  % (24564)Instructions burned: 3 (million)
% 0.11/0.33  % (24564)------------------------------
% 0.11/0.33  % (24564)------------------------------
% 0.11/0.33  % (24566)Instruction limit reached!
% 0.11/0.33  % (24566)------------------------------
% 0.11/0.33  % (24566)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.33  % (24566)Termination reason: Unknown
% 0.11/0.33  % (24566)Termination phase: Property scanning
% 0.11/0.33  
% 0.11/0.33  % (24566)Memory used [KB]: 1663
% 0.11/0.33  % (24566)Time elapsed: 0.011 s
% 0.11/0.33  % (24566)Instructions burned: 16 (million)
% 0.11/0.33  % (24566)------------------------------
% 0.11/0.33  % (24566)------------------------------
% 0.11/0.33  % (24567)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)
% 0.11/0.33  % (24567)Instruction limit reached!
% 0.11/0.33  % (24567)------------------------------
% 0.11/0.33  % (24567)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.33  % (24567)Termination reason: Unknown
% 0.11/0.33  % (24567)Termination phase: shuffling
% 0.11/0.33  
% 0.11/0.33  % (24567)Memory used [KB]: 1279
% 0.11/0.33  % (24567)Time elapsed: 0.004 s
% 0.11/0.33  % (24567)Instructions burned: 3 (million)
% 0.11/0.33  % (24567)------------------------------
% 0.11/0.33  % (24567)------------------------------
% 0.11/0.34  % (24568)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)
% 0.11/0.34  % (24569)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.11/0.34  % (24570)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.11/0.34  % (24565)Instruction limit reached!
% 0.11/0.34  % (24565)------------------------------
% 0.11/0.34  % (24565)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.34  % (24565)Termination reason: Unknown
% 0.11/0.34  % (24565)Termination phase: Property scanning
% 0.11/0.34  
% 0.11/0.34  % (24565)Memory used [KB]: 1791
% 0.11/0.34  % (24565)Time elapsed: 0.021 s
% 0.11/0.34  % (24565)Instructions burned: 39 (million)
% 0.11/0.34  % (24565)------------------------------
% 0.11/0.34  % (24565)------------------------------
% 0.11/0.34  % (24569)Instruction limit reached!
% 0.11/0.34  % (24569)------------------------------
% 0.11/0.34  % (24569)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.34  % (24569)Termination reason: Unknown
% 0.11/0.34  % (24569)Termination phase: shuffling
% 0.11/0.34  
% 0.11/0.34  % (24569)Memory used [KB]: 1407
% 0.11/0.34  % (24569)Time elapsed: 0.006 s
% 0.11/0.34  % (24569)Instructions burned: 7 (million)
% 0.11/0.34  % (24569)------------------------------
% 0.11/0.34  % (24569)------------------------------
% 0.11/0.35  % (24571)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)
% 0.11/0.35  % (24570)Instruction limit reached!
% 0.11/0.35  % (24570)------------------------------
% 0.11/0.35  % (24570)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.35  % (24570)Termination reason: Unknown
% 0.11/0.35  % (24570)Termination phase: shuffling
% 0.11/0.35  % (24572)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)
% 0.11/0.35  
% 0.11/0.35  % (24570)Memory used [KB]: 1663
% 0.11/0.35  % (24570)Time elapsed: 0.011 s
% 0.11/0.35  % (24570)Instructions burned: 17 (million)
% 0.11/0.35  % (24570)------------------------------
% 0.11/0.35  % (24570)------------------------------
% 0.11/0.35  % (24571)Instruction limit reached!
% 0.11/0.35  % (24571)------------------------------
% 0.11/0.35  % (24571)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.35  % (24571)Termination reason: Unknown
% 0.11/0.35  % (24571)Termination phase: shuffling
% 0.11/0.35  
% 0.11/0.35  % (24571)Memory used [KB]: 1279
% 0.11/0.35  % (24571)Time elapsed: 0.004 s
% 0.11/0.35  % (24571)Instructions burned: 4 (million)
% 0.11/0.35  % (24571)------------------------------
% 0.11/0.35  % (24571)------------------------------
% 0.11/0.35  % (24572)Instruction limit reached!
% 0.11/0.35  % (24572)------------------------------
% 0.11/0.35  % (24572)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.35  % (24572)Termination reason: Unknown
% 0.11/0.35  % (24572)Termination phase: shuffling
% 0.11/0.35  
% 0.11/0.35  % (24572)Memory used [KB]: 1279
% 0.11/0.35  % (24572)Time elapsed: 0.004 s
% 0.11/0.35  % (24572)Instructions burned: 4 (million)
% 0.11/0.35  % (24572)------------------------------
% 0.11/0.35  % (24572)------------------------------
% 0.11/0.36  % (24573)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)
% 0.11/0.36  % (24574)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)
% 0.11/0.36  % (24574)Instruction limit reached!
% 0.11/0.36  % (24574)------------------------------
% 0.11/0.36  % (24574)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.36  % (24574)Termination reason: Unknown
% 0.11/0.36  % (24574)Termination phase: shuffling
% 0.11/0.36  
% 0.11/0.36  % (24574)Memory used [KB]: 1279
% 0.11/0.36  % (24574)Time elapsed: 0.004 s
% 0.11/0.36  % (24574)Instructions burned: 3 (million)
% 0.11/0.36  % (24574)------------------------------
% 0.11/0.36  % (24574)------------------------------
% 0.11/0.36  % (24573)Instruction limit reached!
% 0.11/0.36  % (24573)------------------------------
% 0.11/0.36  % (24573)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.36  % (24573)Termination reason: Unknown
% 0.11/0.36  % (24573)Termination phase: shuffling
% 0.11/0.36  
% 0.11/0.36  % (24573)Memory used [KB]: 1407
% 0.11/0.36  % (24573)Time elapsed: 0.007 s
% 0.11/0.36  % (24573)Instructions burned: 8 (million)
% 0.11/0.36  % (24573)------------------------------
% 0.11/0.36  % (24573)------------------------------
% 0.11/0.37  % (24575)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.11/0.37  % (24576)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)
% 0.11/0.37  % (24577)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.11/0.37  % (24575)Instruction limit reached!
% 0.11/0.37  % (24575)------------------------------
% 0.11/0.37  % (24575)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.37  % (24575)Termination reason: Unknown
% 0.11/0.37  % (24575)Termination phase: shuffling
% 0.11/0.37  
% 0.11/0.37  % (24575)Memory used [KB]: 1279
% 0.11/0.37  % (24575)Time elapsed: 0.005 s
% 0.11/0.37  % (24575)Instructions burned: 5 (million)
% 0.11/0.37  % (24575)------------------------------
% 0.11/0.37  % (24575)------------------------------
% 0.11/0.38  % (24576)Instruction limit reached!
% 0.11/0.38  % (24576)------------------------------
% 0.11/0.38  % (24576)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.38  % (24576)Termination reason: Unknown
% 0.11/0.38  % (24576)Termination phase: shuffling
% 0.11/0.38  
% 0.11/0.38  % (24576)Memory used [KB]: 1663
% 0.11/0.38  % (24576)Time elapsed: 0.012 s
% 0.11/0.38  % (24576)Instructions burned: 19 (million)
% 0.11/0.38  % (24576)------------------------------
% 0.11/0.38  % (24576)------------------------------
% 0.11/0.38  % (24578)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.11/0.38  % (24579)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)
% 0.11/0.38  % (24577)Refutation not found, incomplete strategy
% 0.11/0.38  % (24577)------------------------------
% 0.11/0.38  % (24577)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.38  % (24577)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.38  
% 0.11/0.38  
% 0.11/0.38  % (24577)Memory used [KB]: 6140
% 0.11/0.38  % (24577)Time elapsed: 0.015 s
% 0.11/0.38  % (24577)Instructions burned: 23 (million)
% 0.11/0.38  % (24578)Instruction limit reached!
% 0.11/0.38  % (24578)------------------------------
% 0.11/0.38  % (24578)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.38  % (24578)Termination reason: Unknown
% 0.11/0.38  % (24578)Termination phase: shuffling
% 0.11/0.38  
% 0.11/0.38  % (24578)Memory used [KB]: 1407
% 0.11/0.38  % (24578)Time elapsed: 0.006 s
% 0.11/0.38  % (24578)Instructions burned: 7 (million)
% 0.11/0.38  % (24578)------------------------------
% 0.11/0.38  % (24578)------------------------------
% 0.11/0.38  % (24577)------------------------------
% 0.11/0.38  % (24577)------------------------------
% 0.11/0.39  % (24580)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)
% 0.11/0.39  % (24581)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.11/0.40  % (24581)Instruction limit reached!
% 0.11/0.40  % (24581)------------------------------
% 0.11/0.40  % (24581)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.40  % (24581)Termination reason: Unknown
% 0.11/0.40  % (24581)Termination phase: shuffling
% 0.11/0.40  
% 0.11/0.40  % (24581)Memory used [KB]: 1279
% 0.11/0.40  % (24581)Time elapsed: 0.005 s
% 0.11/0.40  % (24581)Instructions burned: 5 (million)
% 0.11/0.40  % (24581)------------------------------
% 0.11/0.40  % (24581)------------------------------
% 0.11/0.40  % (24580)Instruction limit reached!
% 0.11/0.40  % (24580)------------------------------
% 0.11/0.40  % (24580)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.40  % (24580)Termination reason: Unknown
% 0.11/0.40  % (24580)Termination phase: shuffling
% 0.11/0.40  
% 0.11/0.40  % (24580)Memory used [KB]: 1663
% 0.11/0.40  % (24580)Time elapsed: 0.013 s
% 0.11/0.40  % (24580)Instructions burned: 21 (million)
% 0.11/0.40  % (24580)------------------------------
% 0.11/0.40  % (24580)------------------------------
% 0.11/0.40  % (24582)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)
% 0.11/0.40  % (24583)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.11/0.40  % (24557)Instruction limit reached!
% 0.11/0.40  % (24557)------------------------------
% 0.11/0.40  % (24557)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.40  % (24557)Termination reason: Unknown
% 0.11/0.40  % (24557)Termination phase: Saturation
% 0.11/0.40  
% 0.11/0.40  % (24557)Memory used [KB]: 7036
% 0.11/0.40  % (24557)Time elapsed: 0.097 s
% 0.11/0.40  % (24557)Instructions burned: 184 (million)
% 0.11/0.40  % (24582)Instruction limit reached!
% 0.11/0.40  % (24582)------------------------------
% 0.11/0.40  % (24582)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.40  % (24582)Termination reason: Unknown
% 0.11/0.40  % (24582)Termination phase: shuffling
% 0.11/0.40  
% 0.11/0.40  % (24582)Memory used [KB]: 1407
% 0.11/0.40  % (24582)Time elapsed: 0.006 s
% 0.11/0.40  % (24582)Instructions burned: 7 (million)
% 0.11/0.40  % (24582)------------------------------
% 0.11/0.40  % (24582)------------------------------
% 0.11/0.40  % (24557)------------------------------
% 0.11/0.40  % (24557)------------------------------
% 0.11/0.41  % (24584)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.11/0.41  % (24585)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.11/0.42  % (24586)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.11/0.42  % (24587)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.11/0.42  % (24585)Instruction limit reached!
% 0.11/0.42  % (24585)------------------------------
% 0.11/0.42  % (24585)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.42  % (24585)Termination reason: Unknown
% 0.11/0.42  % (24585)Termination phase: shuffling
% 0.11/0.42  
% 0.11/0.42  % (24585)Memory used [KB]: 1663
% 0.11/0.42  % (24585)Time elapsed: 0.012 s
% 0.11/0.42  % (24585)Instructions burned: 20 (million)
% 0.11/0.42  % (24585)------------------------------
% 0.11/0.42  % (24585)------------------------------
% 0.11/0.43  % (24587)Instruction limit reached!
% 0.11/0.43  % (24587)------------------------------
% 0.11/0.43  % (24587)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.43  % (24587)Termination reason: Unknown
% 0.11/0.43  % (24587)Termination phase: shuffling
% 0.11/0.43  
% 0.11/0.43  % (24587)Memory used [KB]: 1663
% 0.11/0.43  % (24587)Time elapsed: 0.012 s
% 0.11/0.43  % (24587)Instructions burned: 18 (million)
% 0.11/0.43  % (24587)------------------------------
% 0.11/0.43  % (24587)------------------------------
% 0.11/0.44  % (24588)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.11/0.44  % (24588)Instruction limit reached!
% 0.11/0.44  % (24588)------------------------------
% 0.11/0.44  % (24588)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.44  % (24588)Termination reason: Unknown
% 0.11/0.44  % (24588)Termination phase: shuffling
% 0.11/0.44  
% 0.11/0.44  % (24588)Memory used [KB]: 1279
% 0.11/0.44  % (24588)Time elapsed: 0.004 s
% 0.11/0.44  % (24588)Instructions burned: 3 (million)
% 0.11/0.44  % (24588)------------------------------
% 0.11/0.44  % (24588)------------------------------
% 0.11/0.44  % (24586)Refutation not found, incomplete strategy
% 0.11/0.44  % (24586)------------------------------
% 0.11/0.44  % (24586)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.44  % (24586)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.44  
% 0.11/0.44  
% 0.11/0.44  % (24586)Memory used [KB]: 6268
% 0.11/0.44  % (24586)Time elapsed: 0.029 s
% 0.11/0.44  % (24586)Instructions burned: 53 (million)
% 0.11/0.44  % (24586)------------------------------
% 0.11/0.44  % (24586)------------------------------
% 0.11/0.44  % (24589)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.11/0.46  % (24590)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)
% 0.11/0.46  % (24589)Instruction limit reached!
% 0.11/0.46  % (24589)------------------------------
% 0.11/0.46  % (24589)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.46  % (24589)Termination reason: Unknown
% 0.11/0.46  % (24589)Termination phase: Property scanning
% 0.11/0.46  
% 0.11/0.46  % (24589)Memory used [KB]: 1791
% 0.11/0.46  % (24589)Time elapsed: 0.018 s
% 0.11/0.46  % (24589)Instructions burned: 31 (million)
% 0.11/0.46  % (24589)------------------------------
% 0.11/0.46  % (24589)------------------------------
% 0.11/0.46  % (24591)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)
% 0.11/0.48  % (24592)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)
% 0.11/0.48  % (24592)Instruction limit reached!
% 0.11/0.48  % (24592)------------------------------
% 0.11/0.48  % (24592)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.48  % (24592)Termination reason: Unknown
% 0.11/0.48  % (24592)Termination phase: shuffling
% 0.11/0.48  
% 0.11/0.48  % (24592)Memory used [KB]: 1279
% 0.11/0.48  % (24592)Time elapsed: 0.004 s
% 0.11/0.48  % (24592)Instructions burned: 3 (million)
% 0.11/0.48  % (24592)------------------------------
% 0.11/0.48  % (24592)------------------------------
% 0.11/0.50  % (24593)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)
% 0.11/0.51  % (24593)Instruction limit reached!
% 0.11/0.51  % (24593)------------------------------
% 0.11/0.51  % (24593)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.51  % (24593)Termination reason: Unknown
% 0.11/0.51  % (24593)Termination phase: Property scanning
% 0.11/0.51  
% 0.11/0.51  % (24593)Memory used [KB]: 1663
% 0.11/0.51  % (24593)Time elapsed: 0.014 s
% 0.11/0.51  % (24593)Instructions burned: 20 (million)
% 0.11/0.51  % (24593)------------------------------
% 0.11/0.51  % (24593)------------------------------
% 0.11/0.51  % (24591)Instruction limit reached!
% 0.11/0.51  % (24591)------------------------------
% 0.11/0.51  % (24591)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.51  % (24591)Termination reason: Unknown
% 0.11/0.51  % (24591)Termination phase: Saturation
% 0.11/0.51  
% 0.11/0.51  % (24591)Memory used [KB]: 6652
% 0.11/0.51  % (24591)Time elapsed: 0.073 s
% 0.11/0.51  % (24591)Instructions burned: 101 (million)
% 0.11/0.51  % (24591)------------------------------
% 0.11/0.51  % (24591)------------------------------
% 0.11/0.52  % (24590)Instruction limit reached!
% 0.11/0.52  % (24590)------------------------------
% 0.11/0.52  % (24590)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.52  % (24590)Termination reason: Unknown
% 0.11/0.52  % (24590)Termination phase: Saturation
% 0.11/0.52  
% 0.11/0.52  % (24590)Memory used [KB]: 6652
% 0.11/0.52  % (24590)Time elapsed: 0.085 s
% 0.11/0.52  % (24590)Instructions burned: 127 (million)
% 0.11/0.52  % (24590)------------------------------
% 0.11/0.52  % (24590)------------------------------
% 1.67/0.53  % (24595)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 1.67/0.53  % (24596)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 1.67/0.54  % (24597)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.71/0.56  % (24597)Instruction limit reached!
% 1.71/0.56  % (24597)------------------------------
% 1.71/0.56  % (24597)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.71/0.56  % (24597)Termination reason: Unknown
% 1.71/0.56  % (24597)Termination phase: Property scanning
% 1.71/0.56  
% 1.71/0.56  % (24597)Memory used [KB]: 1791
% 1.71/0.56  % (24597)Time elapsed: 0.022 s
% 1.71/0.56  % (24597)Instructions burned: 40 (million)
% 1.71/0.56  % (24597)------------------------------
% 1.71/0.56  % (24597)------------------------------
% 1.71/0.57  % (24595)Instruction limit reached!
% 1.71/0.57  % (24595)------------------------------
% 1.71/0.57  % (24595)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.71/0.57  % (24595)Termination reason: Unknown
% 1.71/0.57  % (24595)Termination phase: Saturation
% 1.71/0.57  
% 1.71/0.57  % (24595)Memory used [KB]: 6652
% 1.71/0.57  % (24595)Time elapsed: 0.044 s
% 1.71/0.57  % (24595)Instructions burned: 87 (million)
% 1.71/0.57  % (24595)------------------------------
% 1.71/0.57  % (24595)------------------------------
% 1.71/0.57  % (24598)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)
% 1.71/0.58  % (24583)Refutation not found, non-redundant clauses discarded% (24583)------------------------------
% 1.71/0.58  % (24583)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.71/0.58  % (24583)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.71/0.58  
% 1.71/0.58  % (24583)Memory used [KB]: 6908
% 1.71/0.58  % (24583)Time elapsed: 0.182 s
% 1.71/0.58  % (24583)Instructions burned: 357 (million)
% 1.71/0.58  % (24583)------------------------------
% 1.71/0.58  % (24583)------------------------------
% 1.71/0.58  % (24596)Instruction limit reached!
% 1.71/0.58  % (24596)------------------------------
% 1.71/0.58  % (24596)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.71/0.58  % (24596)Termination reason: Unknown
% 1.71/0.58  % (24596)Termination phase: Saturation
% 1.71/0.58  
% 1.71/0.58  % (24596)Memory used [KB]: 6652
% 1.71/0.58  % (24596)Time elapsed: 0.057 s
% 1.71/0.58  % (24596)Instructions burned: 107 (million)
% 1.71/0.58  % (24596)------------------------------
% 1.71/0.58  % (24596)------------------------------
% 1.71/0.58  % (24599)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)
% 1.71/0.60  % (24600)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)
% 1.71/0.60  % (24601)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)
% 1.71/0.61  % (24599)Instruction limit reached!
% 1.71/0.61  % (24599)------------------------------
% 1.71/0.61  % (24599)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.71/0.61  % (24599)Termination reason: Unknown
% 1.71/0.61  % (24599)Termination phase: SInE selection
% 1.71/0.61  
% 1.71/0.61  % (24599)Memory used [KB]: 1791
% 1.71/0.61  % (24599)Time elapsed: 0.025 s
% 1.71/0.61  % (24599)Instructions burned: 47 (million)
% 1.71/0.61  % (24599)------------------------------
% 1.71/0.61  % (24599)------------------------------
% 1.71/0.62  % (24602)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 (2996ds/149Mi)
% 2.25/0.64  % (24600)Instruction limit reached!
% 2.25/0.64  % (24600)------------------------------
% 2.25/0.64  % (24600)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.25/0.64  % (24600)Termination reason: Unknown
% 2.25/0.64  % (24600)Termination phase: Saturation
% 2.25/0.64  
% 2.25/0.64  % (24600)Memory used [KB]: 2174
% 2.25/0.64  % (24600)Time elapsed: 0.047 s
% 2.25/0.64  % (24600)Instructions burned: 99 (million)
% 2.25/0.64  % (24600)------------------------------
% 2.25/0.64  % (24600)------------------------------
% 2.25/0.65  % (24603)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 2.25/0.67  % (24603)Instruction limit reached!
% 2.25/0.67  % (24603)------------------------------
% 2.25/0.67  % (24603)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.25/0.67  % (24603)Termination reason: Unknown
% 2.25/0.67  % (24603)Termination phase: Property scanning
% 2.25/0.67  
% 2.25/0.67  % (24603)Memory used [KB]: 1791
% 2.25/0.67  % (24603)Time elapsed: 0.020 s
% 2.25/0.67  % (24603)Instructions burned: 41 (million)
% 2.25/0.67  % (24603)------------------------------
% 2.25/0.67  % (24603)------------------------------
% 2.25/0.69  % (24604)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2996ds/6Mi)
% 2.53/0.69  % (24604)Instruction limit reached!
% 2.53/0.69  % (24604)------------------------------
% 2.53/0.69  % (24604)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.53/0.69  % (24604)Termination reason: Unknown
% 2.53/0.69  % (24604)Termination phase: shuffling
% 2.53/0.69  
% 2.53/0.69  % (24604)Memory used [KB]: 1407
% 2.53/0.69  % (24604)Time elapsed: 0.005 s
% 2.53/0.69  % (24604)Instructions burned: 6 (million)
% 2.53/0.69  % (24604)------------------------------
% 2.53/0.69  % (24604)------------------------------
% 2.53/0.70  % (24602)Instruction limit reached!
% 2.53/0.70  % (24602)------------------------------
% 2.53/0.70  % (24602)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.53/0.70  % (24602)Termination reason: Unknown
% 2.53/0.70  % (24602)Termination phase: Saturation
% 2.53/0.70  
% 2.53/0.70  % (24602)Memory used [KB]: 6908
% 2.53/0.70  % (24602)Time elapsed: 0.077 s
% 2.53/0.70  % (24602)Instructions burned: 150 (million)
% 2.53/0.70  % (24602)------------------------------
% 2.53/0.70  % (24602)------------------------------
% 2.53/0.70  % (24605)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 (2995ds/1087Mi)
% 2.53/0.71  % (24606)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2995ds/47Mi)
% 2.53/0.72  % (24605)Refutation not found, incomplete strategy
% 2.53/0.72  % (24605)------------------------------
% 2.53/0.72  % (24605)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.53/0.72  % (24605)Termination reason: Refutation not found, incomplete strategy
% 2.53/0.72  
% 2.53/0.72  
% 2.53/0.72  % (24605)Memory used [KB]: 6140
% 2.53/0.72  % (24605)Time elapsed: 0.015 s
% 2.53/0.72  % (24605)Instructions burned: 25 (million)
% 2.53/0.72  % (24605)------------------------------
% 2.53/0.72  % (24605)------------------------------
% 2.53/0.73  % (24607)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 (2995ds/44Mi)
% 2.53/0.74  % (24606)Instruction limit reached!
% 2.53/0.74  % (24606)------------------------------
% 2.53/0.74  % (24606)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.53/0.74  % (24606)Termination reason: Unknown
% 2.53/0.74  % (24606)Termination phase: Property scanning
% 2.53/0.74  
% 2.53/0.74  % (24606)Memory used [KB]: 1791
% 2.53/0.74  % (24606)Time elapsed: 0.024 s
% 2.53/0.74  % (24606)Instructions burned: 49 (million)
% 2.53/0.74  % (24606)------------------------------
% 2.53/0.74  % (24606)------------------------------
% 2.53/0.75  % (24608)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 (2995ds/432Mi)
% 2.53/0.75  % (24607)Instruction limit reached!
% 2.53/0.75  % (24607)------------------------------
% 2.53/0.75  % (24607)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.53/0.75  % (24607)Termination reason: Unknown
% 2.53/0.75  % (24607)Termination phase: SInE selection
% 2.53/0.75  
% 2.53/0.75  % (24607)Memory used [KB]: 1791
% 2.53/0.75  % (24607)Time elapsed: 0.021 s
% 2.53/0.75  % (24607)Instructions burned: 44 (million)
% 2.53/0.75  % (24607)------------------------------
% 2.53/0.75  % (24607)------------------------------
% 2.96/0.77  % (24609)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2995ds/62Mi)
% 2.96/0.78  % (24598)Instruction limit reached!
% 2.96/0.78  % (24598)------------------------------
% 2.96/0.78  % (24598)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.96/0.78  % (24598)Termination reason: Unknown
% 2.96/0.78  % (24598)Termination phase: Saturation
% 2.96/0.78  
% 2.96/0.78  % (24598)Memory used [KB]: 7164
% 2.96/0.78  % (24598)Time elapsed: 0.206 s
% 2.96/0.78  % (24598)Instructions burned: 448 (million)
% 2.96/0.78  % (24598)------------------------------
% 2.96/0.78  % (24598)------------------------------
% 2.96/0.79  % (24610)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2995ds/31Mi)
% 2.96/0.79  % (24609)Instruction limit reached!
% 2.96/0.79  % (24609)------------------------------
% 2.96/0.79  % (24609)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.96/0.79  % (24609)Termination reason: Unknown
% 2.96/0.79  % (24609)Termination phase: Function definition elimination
% 2.96/0.79  
% 2.96/0.79  % (24609)Memory used [KB]: 1791
% 2.96/0.79  % (24609)Time elapsed: 0.028 s
% 2.96/0.79  % (24609)Instructions burned: 62 (million)
% 2.96/0.79  % (24609)------------------------------
% 2.96/0.79  % (24609)------------------------------
% 2.96/0.80  % (24584)Instruction limit reached!
% 2.96/0.80  % (24584)------------------------------
% 2.96/0.80  % (24584)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.96/0.80  % (24584)Termination reason: Unknown
% 2.96/0.80  % (24584)Termination phase: Saturation
% 2.96/0.80  
% 2.96/0.80  % (24584)Memory used [KB]: 7291
% 2.96/0.80  % (24584)Time elapsed: 0.388 s
% 2.96/0.80  % (24584)Instructions burned: 780 (million)
% 2.96/0.80  % (24584)------------------------------
% 2.96/0.80  % (24584)------------------------------
% 3.34/0.81  % (24610)Instruction limit reached!
% 3.34/0.81  % (24610)------------------------------
% 3.34/0.81  % (24610)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.34/0.81  % (24610)Termination reason: Unknown
% 3.34/0.81  % (24610)Termination phase: Property scanning
% 3.34/0.81  
% 3.34/0.81  % (24610)Memory used [KB]: 1791
% 3.34/0.81  % (24610)Time elapsed: 0.017 s
% 3.34/0.81  % (24610)Instructions burned: 33 (million)
% 3.34/0.81  % (24610)------------------------------
% 3.34/0.81  % (24610)------------------------------
% 3.34/0.81  % (24611)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2994ds/96Mi)
% 3.34/0.81  % (24612)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 (2994ds/453Mi)
% 3.34/0.82  % (24613)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 (2994ds/71Mi)
% 3.43/0.84  % (24601)Instruction limit reached!
% 3.43/0.84  % (24601)------------------------------
% 3.43/0.84  % (24601)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.43/0.84  % (24601)Termination reason: Unknown
% 3.43/0.84  % (24601)Termination phase: Saturation
% 3.43/0.84  
% 3.43/0.84  % (24601)Memory used [KB]: 7803
% 3.43/0.84  % (24601)Time elapsed: 0.244 s
% 3.43/0.84  % (24601)Instructions burned: 507 (million)
% 3.43/0.84  % (24601)------------------------------
% 3.43/0.84  % (24601)------------------------------
% 3.43/0.84  % (24579)Instruction limit reached!
% 3.43/0.84  % (24579)------------------------------
% 3.43/0.84  % (24579)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.43/0.84  % (24579)Termination reason: Unknown
% 3.43/0.84  % (24579)Termination phase: Saturation
% 3.43/0.84  
% 3.43/0.84  % (24579)Memory used [KB]: 8315
% 3.43/0.84  % (24579)Time elapsed: 0.465 s
% 3.43/0.84  % (24579)Instructions burned: 902 (million)
% 3.43/0.84  % (24579)------------------------------
% 3.43/0.84  % (24579)------------------------------
% 3.43/0.85  % (24611)Instruction limit reached!
% 3.43/0.85  % (24611)------------------------------
% 3.43/0.85  % (24611)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.43/0.85  % (24611)Termination reason: Unknown
% 3.43/0.85  % (24611)Termination phase: Saturation
% 3.43/0.85  
% 3.43/0.85  % (24611)Memory used [KB]: 6652
% 3.43/0.85  % (24611)Time elapsed: 0.042 s
% 3.43/0.85  % (24611)Instructions burned: 96 (million)
% 3.43/0.85  % (24611)------------------------------
% 3.43/0.85  % (24611)------------------------------
% 3.43/0.85  % (24568)Instruction limit reached!
% 3.43/0.85  % (24568)------------------------------
% 3.43/0.85  % (24568)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.43/0.85  % (24568)Termination reason: Unknown
% 3.43/0.85  % (24568)Termination phase: Saturation
% 3.43/0.85  
% 3.43/0.85  % (24568)Memory used [KB]: 8187
% 3.43/0.85  % (24568)Time elapsed: 0.516 s
% 3.43/0.85  % (24568)Instructions burned: 1042 (million)
% 3.43/0.85  % (24568)------------------------------
% 3.43/0.85  % (24568)------------------------------
% 3.43/0.85  % (24613)Instruction limit reached!
% 3.43/0.85  % (24613)------------------------------
% 3.43/0.85  % (24613)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.43/0.85  % (24613)Termination reason: Unknown
% 3.43/0.85  % (24613)Termination phase: Function definition elimination
% 3.43/0.85  
% 3.43/0.85  % (24613)Memory used [KB]: 2046
% 3.43/0.85  % (24613)Time elapsed: 0.032 s
% 3.43/0.85  % (24613)Instructions burned: 73 (million)
% 3.43/0.85  % (24613)------------------------------
% 3.43/0.85  % (24613)------------------------------
% 3.43/0.85  % (24614)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2994ds/83Mi)
% 3.43/0.86  % (24615)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2994ds/11Mi)
% 3.43/0.86  % (24616)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 (2994ds/41Mi)
% 3.43/0.86  % (24615)Instruction limit reached!
% 3.43/0.86  % (24615)------------------------------
% 3.43/0.86  % (24615)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.43/0.86  % (24615)Termination reason: Unknown
% 3.43/0.86  % (24615)Termination phase: shuffling
% 3.43/0.86  
% 3.43/0.86  % (24615)Memory used [KB]: 1407
% 3.43/0.86  % (24615)Time elapsed: 0.008 s
% 3.43/0.86  % (24615)Instructions burned: 12 (million)
% 3.43/0.86  % (24615)------------------------------
% 3.43/0.86  % (24615)------------------------------
% 3.43/0.86  % (24618)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2994ds/150Mi)
% 3.43/0.86  % (24617)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2994ds/6Mi)
% 3.43/0.87  % (24617)Instruction limit reached!
% 3.43/0.87  % (24617)------------------------------
% 3.43/0.87  % (24617)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.43/0.87  % (24617)Termination reason: Unknown
% 3.43/0.87  % (24617)Termination phase: shuffling
% 3.43/0.87  
% 3.43/0.87  % (24617)Memory used [KB]: 1407
% 3.43/0.87  % (24617)Time elapsed: 0.005 s
% 3.43/0.87  % (24617)Instructions burned: 6 (million)
% 3.43/0.87  % (24617)------------------------------
% 3.43/0.87  % (24617)------------------------------
% 3.43/0.88  % (24619)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 (2994ds/343Mi)
% 3.43/0.88  % (24616)Instruction limit reached!
% 3.43/0.88  % (24616)------------------------------
% 3.43/0.88  % (24616)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.43/0.88  % (24616)Termination reason: Unknown
% 3.43/0.88  % (24616)Termination phase: Clausification
% 3.43/0.88  
% 3.43/0.88  % (24616)Memory used [KB]: 1791
% 3.43/0.88  % (24616)Time elapsed: 0.020 s
% 3.43/0.88  % (24616)Instructions burned: 41 (million)
% 3.43/0.88  % (24616)------------------------------
% 3.43/0.88  % (24616)------------------------------
% 3.43/0.88  % (24620)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 (2994ds/109Mi)
% 3.43/0.89  % (24614)Instruction limit reached!
% 3.43/0.89  % (24614)------------------------------
% 3.43/0.89  % (24614)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.43/0.89  % (24614)Termination reason: Unknown
% 3.43/0.89  % (24614)Termination phase: Saturation
% 3.43/0.89  
% 3.43/0.89  % (24614)Memory used [KB]: 6524
% 3.43/0.89  % (24614)Time elapsed: 0.060 s
% 3.43/0.89  % (24614)Instructions burned: 84 (million)
% 3.43/0.89  % (24614)------------------------------
% 3.43/0.89  % (24614)------------------------------
% 3.43/0.89  % (24621)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2994ds/253Mi)
% 3.43/0.90  % (24622)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)
% 3.43/0.93  % (24622)Refutation not found, incomplete strategy
% 3.43/0.93  % (24622)------------------------------
% 3.43/0.93  % (24622)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.43/0.93  % (24622)Termination reason: Refutation not found, incomplete strategy
% 3.43/0.93  
% 3.43/0.93  
% 3.43/0.93  % (24622)Memory used [KB]: 6268
% 3.43/0.93  % (24622)Time elapsed: 0.048 s
% 3.43/0.93  % (24622)Instructions burned: 47 (million)
% 3.43/0.93  % (24622)------------------------------
% 3.43/0.93  % (24622)------------------------------
% 4.01/0.93  % (24620)Instruction limit reached!
% 4.01/0.93  % (24620)------------------------------
% 4.01/0.93  % (24620)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.01/0.93  % (24620)Termination reason: Unknown
% 4.01/0.93  % (24620)Termination phase: Saturation
% 4.01/0.93  
% 4.01/0.93  % (24620)Memory used [KB]: 6652
% 4.01/0.93  % (24620)Time elapsed: 0.072 s
% 4.01/0.93  % (24620)Instructions burned: 110 (million)
% 4.01/0.93  % (24620)------------------------------
% 4.01/0.93  % (24620)------------------------------
% 4.01/0.93  % (24618)Instruction limit reached!
% 4.01/0.93  % (24618)------------------------------
% 4.01/0.93  % (24618)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.01/0.93  % (24618)Termination reason: Unknown
% 4.01/0.93  % (24618)Termination phase: Saturation
% 4.01/0.93  
% 4.01/0.93  % (24618)Memory used [KB]: 7547
% 4.01/0.93  % (24618)Time elapsed: 0.068 s
% 4.01/0.93  % (24618)Instructions burned: 151 (million)
% 4.01/0.93  % (24618)------------------------------
% 4.01/0.93  % (24618)------------------------------
% 4.01/0.94  % (24623)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 (2993ds/614Mi)
% 4.01/0.94  % (24625)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 (2993ds/339Mi)
% 4.01/0.94  % (24624)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 (2993ds/202Mi)
% 4.01/0.95  % (24608)First to succeed.
% 4.01/0.95  % (24608)Refutation found. Thanks to Tanya!
% 4.01/0.95  % SZS status Theorem for theBenchmark
% 4.01/0.95  % SZS output start Proof for theBenchmark
% See solution above
% 4.01/0.95  % (24608)------------------------------
% 4.01/0.95  % (24608)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 4.01/0.95  % (24608)Termination reason: Refutation
% 4.01/0.95  
% 4.01/0.95  % (24608)Memory used [KB]: 3326
% 4.01/0.95  % (24608)Time elapsed: 0.200 s
% 4.01/0.95  % (24608)Instructions burned: 405 (million)
% 4.01/0.95  % (24608)------------------------------
% 4.01/0.95  % (24608)------------------------------
% 4.01/0.95  % (24556)Success in time 0.673 s
%------------------------------------------------------------------------------