TSTP Solution File: NLP266^23 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : NLP266^23 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n026.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  : 600s
% DateTime : Mon Jul 18 03:05:31 EDT 2022

% Result   : Theorem 77.74s 77.97s
% Output   : CNFRefutation 77.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   48
% Syntax   : Number of formulae    :  246 (  70 unt;  30 typ;  10 def)
%            Number of atoms       : 3121 ( 851 equ;   0 cnn)
%            Maximal formula atoms :   18 (  14 avg)
%            Number of connectives : 7787 (1009   ~;1062   |;  59   &;5620   @)
%                                         (   1 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   7 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   95 (  95   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   32 (  29 usr;   7 con; 0-4 aty)
%            Number of variables   :  770 (  40   ^ 707   !;  23   ?; 770   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_mworld,type,
    mworld: $tType ).

thf(tp_do,type,
    do: $i > $i > $i > mworld > $o ).

thf(tp_eiw_di,type,
    eiw_di: $i > mworld > $o ).

thf(tp_entry_box,type,
    entry_box: $i > mworld > $o ).

thf(tp_in,type,
    in: $i > $i > $i > mworld > $o ).

thf(tp_mactual,type,
    mactual: mworld ).

thf(tp_mand,type,
    mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(tp_mbox,type,
    mbox: ( mworld > $o ) > mworld > $o ).

thf(tp_mdia,type,
    mdia: ( mworld > $o ) > mworld > $o ).

thf(tp_mequiv,type,
    mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(tp_mexists_di,type,
    mexists_di: ( $i > mworld > $o ) > mworld > $o ).

thf(tp_mforall_di,type,
    mforall_di: ( $i > mworld > $o ) > mworld > $o ).

thf(tp_mimplies,type,
    mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(tp_mlocal,type,
    mlocal: ( mworld > $o ) > $o ).

thf(tp_mnot,type,
    mnot: ( mworld > $o ) > mworld > $o ).

thf(tp_mor,type,
    mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(tp_mrel,type,
    mrel: mworld > mworld > $o ).

thf(tp_number,type,
    number: $i > $i > mworld > $o ).

thf(tp_one,type,
    one: $i ).

thf(tp_sK1_SY144,type,
    sK1_SY144: mworld ).

thf(tp_sK2_SY295,type,
    sK2_SY295: $i > $i > $i > $i > mworld ).

thf(tp_sK3_SY297,type,
    sK3_SY297: $i > $i > $i > $i > $i ).

thf(tp_sK4_SY294,type,
    sK4_SY294: $i > $i > $i > $i > mworld ).

thf(tp_sK5_SY228,type,
    sK5_SY228: $i > $i > $i > mworld > $i ).

thf(tp_sK6_SY256,type,
    sK6_SY256: $i ).

thf(tp_sK7_SY273,type,
    sK7_SY273: mworld > $i ).

thf(tp_sK8_X,type,
    sK8_X: mworld > $i ).

thf(tp_string,type,
    string: $i > mworld > $o ).

thf(tp_u,type,
    u: $i ).

thf(tp_userid,type,
    userid: $i > $i > mworld > $o ).

thf(mand,definition,
    ( mand
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
          & ( B @ W ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand) ).

thf(mbox,definition,
    ( mbox
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ! [V: mworld] :
          ( ( mrel @ W @ V )
         => ( Phi @ V ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox) ).

thf(mdia,definition,
    ( mdia
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ? [V: mworld] :
          ( ( mrel @ W @ V )
          & ( Phi @ V ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia) ).

thf(mequiv,definition,
    ( mequiv
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
        <=> ( B @ W ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv) ).

thf(mexists_di,definition,
    ( mexists_di
    = ( ^ [A: $i > mworld > $o,W: mworld] :
        ? [X: $i] :
          ( ( eiw_di @ X @ W )
          & ( A @ X @ W ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_di) ).

thf(mforall_di,definition,
    ( mforall_di
    = ( ^ [A: $i > mworld > $o,W: mworld] :
        ! [X: $i] :
          ( ( eiw_di @ X @ W )
         => ( A @ X @ W ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_di) ).

thf(mimplies,definition,
    ( mimplies
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
         => ( B @ W ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies) ).

thf(mlocal,definition,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal) ).

thf(mnot,definition,
    ( mnot
    = ( ^ [A: mworld > $o,W: mworld] :
          ~ ( A @ W ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot) ).

thf(mor,definition,
    ( mor
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
          | ( B @ W ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor) ).

thf(1,axiom,
    ( mlocal
    @ ( mbox
      @ ( mforall_di
        @ ^ [S: $i] :
            ( mforall_di
            @ ^ [I: $i] :
                ( mforall_di
                @ ^ [B: $i] :
                    ( mimplies @ ( mand @ ( string @ I ) @ ( entry_box @ B ) )
                    @ ( mexists_di
                      @ ^ [A: $i] :
                          ( mbox
                          @ ( mforall_di
                            @ ^ [S2: $i] : ( mimplies @ ( do @ S @ A @ S2 ) @ ( in @ I @ B @ S2 ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

thf(2,axiom,
    ( mlocal
    @ ( mexists_di
      @ ^ [B: $i] : ( mbox @ ( mand @ ( entry_box @ B ) @ ( number @ B @ one ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

thf(3,axiom,
    ( mlocal
    @ ( mbox
      @ ( mexists_di
        @ ^ [I: $i] : ( mbox @ ( mand @ ( userid @ u @ I ) @ ( string @ I ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

thf(4,axiom,
    ! [W: mworld,V: mworld,X: $i] :
      ( ( ( eiw_di @ X @ W )
        & ( mrel @ V @ W ) )
     => ( eiw_di @ X @ V ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eiw_di_decr) ).

thf(5,axiom,
    ! [W: mworld] :
    ? [X: $i] : ( eiw_di @ X @ W ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eiw_di_nonempty) ).

thf(6,axiom,
    ! [W: mworld,V: mworld,U: mworld] :
      ( ( ( mrel @ W @ U )
        & ( mrel @ W @ V ) )
     => ( mrel @ U @ V ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_euclidean) ).

thf(7,axiom,
    ! [W: mworld] : ( mrel @ W @ W ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive) ).

thf(8,conjecture,
    ( mlocal
    @ ( mbox
      @ ( mexists_di
        @ ^ [I: $i] :
            ( mexists_di
            @ ^ [B: $i] :
                ( mexists_di
                @ ^ [A: $i] :
                    ( mexists_di
                    @ ^ [S: $i] :
                        ( mand @ ( mbox @ ( mand @ ( userid @ u @ I ) @ ( mand @ ( entry_box @ B ) @ ( number @ B @ one ) ) ) )
                        @ ( mbox
                          @ ( mforall_di
                            @ ^ [S2: $i] : ( mimplies @ ( do @ S @ A @ S2 ) @ ( in @ I @ B @ S2 ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

thf(9,negated_conjecture,
    ( ( mlocal
      @ ( mbox
        @ ( mexists_di
          @ ^ [I: $i] :
              ( mexists_di
              @ ^ [B: $i] :
                  ( mexists_di
                  @ ^ [A: $i] :
                      ( mexists_di
                      @ ^ [S: $i] :
                          ( mand @ ( mbox @ ( mand @ ( userid @ u @ I ) @ ( mand @ ( entry_box @ B ) @ ( number @ B @ one ) ) ) )
                          @ ( mbox
                            @ ( mforall_di
                              @ ^ [S2: $i] : ( mimplies @ ( do @ S @ A @ S2 ) @ ( in @ I @ B @ S2 ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[8]) ).

thf(10,plain,
    ( ( ! [SY144: mworld] :
          ( ( mrel @ mactual @ SY144 )
         => ? [SY137: $i] :
              ( ( eiw_di @ SY137 @ SY144 )
              & ? [SY138: $i] :
                  ( ( eiw_di @ SY138 @ SY144 )
                  & ? [SY139: $i] :
                      ( ( eiw_di @ SY139 @ SY144 )
                      & ? [SY140: $i] :
                          ( ( eiw_di @ SY140 @ SY144 )
                          & ! [SY141: mworld] :
                              ( ( mrel @ SY144 @ SY141 )
                             => ( ( userid @ u @ SY137 @ SY141 )
                                & ( entry_box @ SY138 @ SY141 )
                                & ( number @ SY138 @ one @ SY141 ) ) )
                          & ! [SY142: mworld] :
                              ( ( mrel @ SY144 @ SY142 )
                             => ! [SY128: $i] :
                                  ( ( eiw_di @ SY128 @ SY142 )
                                 => ( ( do @ SY140 @ SY139 @ SY128 @ SY142 )
                                   => ( in @ SY137 @ SY138 @ SY128 @ SY142 ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[9,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(11,plain,
    ( ( ! [SY231: mworld] :
          ( ( mrel @ mactual @ SY231 )
         => ! [SY225: $i] :
              ( ( eiw_di @ SY225 @ SY231 )
             => ! [SY226: $i] :
                  ( ( eiw_di @ SY226 @ SY231 )
                 => ! [SY227: $i] :
                      ( ( eiw_di @ SY227 @ SY231 )
                     => ( ( ( string @ SY226 @ SY231 )
                          & ( entry_box @ SY227 @ SY231 ) )
                       => ? [SY228: $i] :
                            ( ( eiw_di @ SY228 @ SY231 )
                            & ! [SY229: mworld] :
                                ( ( mrel @ SY231 @ SY229 )
                               => ! [SY217: $i] :
                                    ( ( eiw_di @ SY217 @ SY229 )
                                   => ( ( do @ SY225 @ SY228 @ SY217 @ SY229 )
                                     => ( in @ SY226 @ SY227 @ SY217 @ SY229 ) ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(12,plain,
    ( ( ? [SY256: $i] :
          ( ( eiw_di @ SY256 @ mactual )
          & ! [SY257: mworld] :
              ( ( mrel @ mactual @ SY257 )
             => ( ( entry_box @ SY256 @ SY257 )
                & ( number @ SY256 @ one @ SY257 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(13,plain,
    ( ( ! [SY275: mworld] :
          ( ( mrel @ mactual @ SY275 )
         => ? [SY273: $i] :
              ( ( eiw_di @ SY273 @ SY275 )
              & ! [SY274: mworld] :
                  ( ( mrel @ SY275 @ SY274 )
                 => ( ( userid @ u @ SY273 @ SY274 )
                    & ( string @ SY273 @ SY274 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(14,plain,
    ( ( ! [W: mworld,V: mworld,X: $i] :
          ( ( ( eiw_di @ X @ W )
            & ( mrel @ V @ W ) )
         => ( eiw_di @ X @ V ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(15,plain,
    ( ( ! [W: mworld] :
        ? [X: $i] : ( eiw_di @ X @ W ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(16,plain,
    ( ( ! [W: mworld,V: mworld,U: mworld] :
          ( ( ( mrel @ W @ U )
            & ( mrel @ W @ V ) )
         => ( mrel @ U @ V ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(17,plain,
    ( ( ! [W: mworld] : ( mrel @ W @ W ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(18,plain,
    ( ( ( mrel @ mactual @ sK1_SY144 )
     => ? [SY290: $i] :
          ( ( eiw_di @ SY290 @ sK1_SY144 )
          & ? [SY291: $i] :
              ( ( eiw_di @ SY291 @ sK1_SY144 )
              & ? [SY292: $i] :
                  ( ( eiw_di @ SY292 @ sK1_SY144 )
                  & ? [SY293: $i] :
                      ( ( eiw_di @ SY293 @ sK1_SY144 )
                      & ! [SY294: mworld] :
                          ( ( mrel @ sK1_SY144 @ SY294 )
                         => ( ( userid @ u @ SY290 @ SY294 )
                            & ( entry_box @ SY291 @ SY294 )
                            & ( number @ SY291 @ one @ SY294 ) ) )
                      & ! [SY295: mworld] :
                          ( ( mrel @ sK1_SY144 @ SY295 )
                         => ! [SY128: $i] :
                              ( ( eiw_di @ SY128 @ SY295 )
                             => ( ( do @ SY293 @ SY292 @ SY128 @ SY295 )
                               => ( in @ SY290 @ SY291 @ SY128 @ SY295 ) ) ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[10]) ).

thf(19,plain,
    ( ( mrel @ mactual @ sK1_SY144 )
    = $true ),
    inference(standard_cnf,[status(thm)],[18]) ).

thf(20,plain,
    ( ( ? [SY290: $i] :
          ( ( eiw_di @ SY290 @ sK1_SY144 )
          & ? [SY291: $i] :
              ( ( eiw_di @ SY291 @ sK1_SY144 )
              & ? [SY292: $i] :
                  ( ( eiw_di @ SY292 @ sK1_SY144 )
                  & ? [SY293: $i] :
                      ( ( eiw_di @ SY293 @ sK1_SY144 )
                      & ! [SY294: mworld] :
                          ( ( mrel @ sK1_SY144 @ SY294 )
                         => ( ( userid @ u @ SY290 @ SY294 )
                            & ( entry_box @ SY291 @ SY294 )
                            & ( number @ SY291 @ one @ SY294 ) ) )
                      & ! [SY295: mworld] :
                          ( ( mrel @ sK1_SY144 @ SY295 )
                         => ! [SY128: $i] :
                              ( ( eiw_di @ SY128 @ SY295 )
                             => ( ( do @ SY293 @ SY292 @ SY128 @ SY295 )
                               => ( in @ SY290 @ SY291 @ SY128 @ SY295 ) ) ) ) ) ) ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[18]) ).

thf(21,plain,
    ( ( ~ ? [SY290: $i] :
            ( ( eiw_di @ SY290 @ sK1_SY144 )
            & ? [SY291: $i] :
                ( ( eiw_di @ SY291 @ sK1_SY144 )
                & ? [SY292: $i] :
                    ( ( eiw_di @ SY292 @ sK1_SY144 )
                    & ? [SY293: $i] :
                        ( ( eiw_di @ SY293 @ sK1_SY144 )
                        & ! [SY294: mworld] :
                            ( ( mrel @ sK1_SY144 @ SY294 )
                           => ( ( userid @ u @ SY290 @ SY294 )
                              & ( entry_box @ SY291 @ SY294 )
                              & ( number @ SY291 @ one @ SY294 ) ) )
                        & ! [SY295: mworld] :
                            ( ( mrel @ sK1_SY144 @ SY295 )
                           => ! [SY128: $i] :
                                ( ( eiw_di @ SY128 @ SY295 )
                               => ( ( do @ SY293 @ SY292 @ SY128 @ SY295 )
                                 => ( in @ SY290 @ SY291 @ SY128 @ SY295 ) ) ) ) ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[20]) ).

thf(22,plain,
    ( ( ! [SY290: $i] :
          ( ! [SY291: $i] :
              ( ! [SY292: $i] :
                  ( ! [SY293: $i] :
                      ( ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SY293 @ SY292 @ SY291 @ SY290 ) )
                        & ( ~ ( entry_box @ SY291 @ ( sK4_SY294 @ SY293 @ SY292 @ SY291 @ SY290 ) )
                          | ~ ( number @ SY291 @ one @ ( sK4_SY294 @ SY293 @ SY292 @ SY291 @ SY290 ) )
                          | ~ ( userid @ u @ SY290 @ ( sK4_SY294 @ SY293 @ SY292 @ SY291 @ SY290 ) ) ) )
                      | ( ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SY293 @ SY292 @ SY291 @ SY290 ) )
                        & ( eiw_di @ ( sK3_SY297 @ SY293 @ SY292 @ SY291 @ SY290 ) @ ( sK2_SY295 @ SY293 @ SY292 @ SY291 @ SY290 ) )
                        & ( do @ SY293 @ SY292 @ ( sK3_SY297 @ SY293 @ SY292 @ SY291 @ SY290 ) @ ( sK2_SY295 @ SY293 @ SY292 @ SY291 @ SY290 ) )
                        & ~ ( in @ SY290 @ SY291 @ ( sK3_SY297 @ SY293 @ SY292 @ SY291 @ SY290 ) @ ( sK2_SY295 @ SY293 @ SY292 @ SY291 @ SY290 ) ) )
                      | ~ ( eiw_di @ SY293 @ sK1_SY144 ) )
                  | ~ ( eiw_di @ SY292 @ sK1_SY144 ) )
              | ~ ( eiw_di @ SY291 @ sK1_SY144 ) )
          | ~ ( eiw_di @ SY290 @ sK1_SY144 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[21]) ).

thf(23,plain,
    ( ( ! [SY231: mworld] :
          ( ~ ( mrel @ mactual @ SY231 )
          | ! [SY225: $i] :
              ( ~ ( eiw_di @ SY225 @ SY231 )
              | ! [SY226: $i] :
                  ( ~ ( eiw_di @ SY226 @ SY231 )
                  | ! [SY227: $i] :
                      ( ~ ( eiw_di @ SY227 @ SY231 )
                      | ~ ( entry_box @ SY227 @ SY231 )
                      | ~ ( string @ SY226 @ SY231 )
                      | ( ! [SY298: mworld] :
                            ( ~ ( mrel @ SY231 @ SY298 )
                            | ! [SY299: $i] :
                                ( ~ ( eiw_di @ SY299 @ SY298 )
                                | ~ ( do @ SY225 @ ( sK5_SY228 @ SY227 @ SY226 @ SY225 @ SY231 ) @ SY299 @ SY298 )
                                | ( in @ SY226 @ SY227 @ SY299 @ SY298 ) ) )
                        & ( eiw_di @ ( sK5_SY228 @ SY227 @ SY226 @ SY225 @ SY231 ) @ SY231 ) ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[11]) ).

thf(24,plain,
    ( ( ! [SY300: mworld] :
          ( ~ ( mrel @ mactual @ SY300 )
          | ( entry_box @ sK6_SY256 @ SY300 ) )
      & ! [SY301: mworld] :
          ( ~ ( mrel @ mactual @ SY301 )
          | ( number @ sK6_SY256 @ one @ SY301 ) )
      & ( eiw_di @ sK6_SY256 @ mactual ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[12]) ).

thf(25,plain,
    ( ( ! [SY275: mworld] :
          ( ~ ( mrel @ mactual @ SY275 )
          | ( ! [SY302: mworld] :
                ( ~ ( mrel @ SY275 @ SY302 )
                | ( string @ ( sK7_SY273 @ SY275 ) @ SY302 ) )
            & ! [SY303: mworld] :
                ( ~ ( mrel @ SY275 @ SY303 )
                | ( userid @ u @ ( sK7_SY273 @ SY275 ) @ SY303 ) )
            & ( eiw_di @ ( sK7_SY273 @ SY275 ) @ SY275 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[13]) ).

thf(26,plain,
    ( ( ! [W: mworld,V: mworld,X: $i] :
          ( ~ ( eiw_di @ X @ W )
          | ~ ( mrel @ V @ W )
          | ( eiw_di @ X @ V ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[14]) ).

thf(27,plain,
    ( ( ! [W: mworld] : ( eiw_di @ ( sK8_X @ W ) @ W ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[15]) ).

thf(28,plain,
    ( ( ! [W: mworld,V: mworld,U: mworld] :
          ( ~ ( mrel @ W @ U )
          | ~ ( mrel @ W @ V )
          | ( mrel @ U @ V ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[16]) ).

thf(29,plain,
    ( ( ! [W: mworld] : ( mrel @ W @ W ) )
    = $true ),
    inference(copy,[status(thm)],[17]) ).

thf(30,plain,
    ( ( ! [W: mworld,V: mworld,U: mworld] :
          ( ~ ( mrel @ W @ U )
          | ~ ( mrel @ W @ V )
          | ( mrel @ U @ V ) ) )
    = $true ),
    inference(copy,[status(thm)],[28]) ).

thf(31,plain,
    ( ( ! [W: mworld] : ( eiw_di @ ( sK8_X @ W ) @ W ) )
    = $true ),
    inference(copy,[status(thm)],[27]) ).

thf(32,plain,
    ( ( ! [W: mworld,V: mworld,X: $i] :
          ( ~ ( eiw_di @ X @ W )
          | ~ ( mrel @ V @ W )
          | ( eiw_di @ X @ V ) ) )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(33,plain,
    ( ( ! [SY275: mworld] :
          ( ~ ( mrel @ mactual @ SY275 )
          | ( ! [SY302: mworld] :
                ( ~ ( mrel @ SY275 @ SY302 )
                | ( string @ ( sK7_SY273 @ SY275 ) @ SY302 ) )
            & ! [SY303: mworld] :
                ( ~ ( mrel @ SY275 @ SY303 )
                | ( userid @ u @ ( sK7_SY273 @ SY275 ) @ SY303 ) )
            & ( eiw_di @ ( sK7_SY273 @ SY275 ) @ SY275 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(34,plain,
    ( ( ! [SY300: mworld] :
          ( ~ ( mrel @ mactual @ SY300 )
          | ( entry_box @ sK6_SY256 @ SY300 ) )
      & ! [SY301: mworld] :
          ( ~ ( mrel @ mactual @ SY301 )
          | ( number @ sK6_SY256 @ one @ SY301 ) )
      & ( eiw_di @ sK6_SY256 @ mactual ) )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(35,plain,
    ( ( ! [SY231: mworld] :
          ( ~ ( mrel @ mactual @ SY231 )
          | ! [SY225: $i] :
              ( ~ ( eiw_di @ SY225 @ SY231 )
              | ! [SY226: $i] :
                  ( ~ ( eiw_di @ SY226 @ SY231 )
                  | ! [SY227: $i] :
                      ( ~ ( eiw_di @ SY227 @ SY231 )
                      | ~ ( entry_box @ SY227 @ SY231 )
                      | ~ ( string @ SY226 @ SY231 )
                      | ( ! [SY298: mworld] :
                            ( ~ ( mrel @ SY231 @ SY298 )
                            | ! [SY299: $i] :
                                ( ~ ( eiw_di @ SY299 @ SY298 )
                                | ~ ( do @ SY225 @ ( sK5_SY228 @ SY227 @ SY226 @ SY225 @ SY231 ) @ SY299 @ SY298 )
                                | ( in @ SY226 @ SY227 @ SY299 @ SY298 ) ) )
                        & ( eiw_di @ ( sK5_SY228 @ SY227 @ SY226 @ SY225 @ SY231 ) @ SY231 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[23]) ).

thf(36,plain,
    ( ( mrel @ mactual @ sK1_SY144 )
    = $true ),
    inference(copy,[status(thm)],[19]) ).

thf(37,plain,
    ( ( ! [SY290: $i] :
          ( ! [SY291: $i] :
              ( ! [SY292: $i] :
                  ( ! [SY293: $i] :
                      ( ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SY293 @ SY292 @ SY291 @ SY290 ) )
                        & ( ~ ( entry_box @ SY291 @ ( sK4_SY294 @ SY293 @ SY292 @ SY291 @ SY290 ) )
                          | ~ ( number @ SY291 @ one @ ( sK4_SY294 @ SY293 @ SY292 @ SY291 @ SY290 ) )
                          | ~ ( userid @ u @ SY290 @ ( sK4_SY294 @ SY293 @ SY292 @ SY291 @ SY290 ) ) ) )
                      | ( ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SY293 @ SY292 @ SY291 @ SY290 ) )
                        & ( eiw_di @ ( sK3_SY297 @ SY293 @ SY292 @ SY291 @ SY290 ) @ ( sK2_SY295 @ SY293 @ SY292 @ SY291 @ SY290 ) )
                        & ( do @ SY293 @ SY292 @ ( sK3_SY297 @ SY293 @ SY292 @ SY291 @ SY290 ) @ ( sK2_SY295 @ SY293 @ SY292 @ SY291 @ SY290 ) )
                        & ~ ( in @ SY290 @ SY291 @ ( sK3_SY297 @ SY293 @ SY292 @ SY291 @ SY290 ) @ ( sK2_SY295 @ SY293 @ SY292 @ SY291 @ SY290 ) ) )
                      | ~ ( eiw_di @ SY293 @ sK1_SY144 ) )
                  | ~ ( eiw_di @ SY292 @ sK1_SY144 ) )
              | ~ ( eiw_di @ SY291 @ sK1_SY144 ) )
          | ~ ( eiw_di @ SY290 @ sK1_SY144 ) ) )
    = $true ),
    inference(copy,[status(thm)],[22]) ).

thf(38,plain,
    ( ( ! [SX0: mworld] :
          ( ~ ( mrel @ mactual @ SX0 )
          | ! [SX1: $i] :
              ( ~ ( eiw_di @ SX1 @ SX0 )
              | ! [SX2: $i] :
                  ( ~ ( eiw_di @ SX2 @ SX0 )
                  | ! [SX3: $i] :
                      ( ~ ( eiw_di @ SX3 @ SX0 )
                      | ~ ( entry_box @ SX3 @ SX0 )
                      | ~ ( string @ SX2 @ SX0 )
                      | ~ ( ~ ! [SX4: mworld] :
                                ( ~ ( mrel @ SX0 @ SX4 )
                                | ! [SX5: $i] :
                                    ( ~ ( eiw_di @ SX5 @ SX4 )
                                    | ~ ( do @ SX1 @ ( sK5_SY228 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX5 @ SX4 )
                                    | ( in @ SX2 @ SX3 @ SX5 @ SX4 ) ) )
                          | ~ ( eiw_di @ ( sK5_SY228 @ SX3 @ SX2 @ SX1 @ SX0 ) @ SX0 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[35,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(39,plain,
    ( ( ! [SX0: mworld] :
          ( ~ ( mrel @ mactual @ SX0 )
          | ~ ( ~ ~ ( ~ ! [SX1: mworld] :
                          ( ~ ( mrel @ SX0 @ SX1 )
                          | ( string @ ( sK7_SY273 @ SX0 ) @ SX1 ) )
                    | ~ ! [SX1: mworld] :
                          ( ~ ( mrel @ SX0 @ SX1 )
                          | ( userid @ u @ ( sK7_SY273 @ SX0 ) @ SX1 ) ) )
              | ~ ( eiw_di @ ( sK7_SY273 @ SX0 ) @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(40,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ( ! [SX2: $i] :
                  ( ! [SX3: $i] :
                      ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SX3 @ SX2 @ SX1 @ SX0 ) )
                          | ~ ( ~ ( entry_box @ SX1 @ ( sK4_SY294 @ SX3 @ SX2 @ SX1 @ SX0 ) )
                              | ~ ( number @ SX1 @ one @ ( sK4_SY294 @ SX3 @ SX2 @ SX1 @ SX0 ) )
                              | ~ ( userid @ u @ SX0 @ ( sK4_SY294 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) )
                      | ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SX3 @ SX2 @ SX1 @ SX0 ) )
                          | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK2_SY295 @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                | ~ ~ ( ~ ( do @ SX3 @ SX2 @ ( sK3_SY297 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK2_SY295 @ SX3 @ SX2 @ SX1 @ SX0 ) )
                                      | ~ ~ ( in @ SX0 @ SX1 @ ( sK3_SY297 @ SX3 @ SX2 @ SX1 @ SX0 ) @ ( sK2_SY295 @ SX3 @ SX2 @ SX1 @ SX0 ) ) ) ) )
                      | ~ ( eiw_di @ SX3 @ sK1_SY144 ) )
                  | ~ ( eiw_di @ SX2 @ sK1_SY144 ) )
              | ~ ( eiw_di @ SX1 @ sK1_SY144 ) )
          | ~ ( eiw_di @ SX0 @ sK1_SY144 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[37,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(41,plain,
    ( ( ~ ( ~ ~ ( ~ ! [SX0: mworld] :
                      ( ~ ( mrel @ mactual @ SX0 )
                      | ( entry_box @ sK6_SY256 @ SX0 ) )
                | ~ ! [SX0: mworld] :
                      ( ~ ( mrel @ mactual @ SX0 )
                      | ( number @ sK6_SY256 @ one @ SX0 ) ) )
          | ~ ( eiw_di @ sK6_SY256 @ mactual ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[34,mand,mbox,mdia,mequiv,mexists_di,mforall_di,mimplies,mlocal,mnot,mor]) ).

thf(42,plain,
    ! [SV1: mworld] :
      ( ( mrel @ SV1 @ SV1 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[29]) ).

thf(43,plain,
    ! [SV2: mworld] :
      ( ( ! [SY304: mworld,SY305: mworld] :
            ( ~ ( mrel @ SV2 @ SY305 )
            | ~ ( mrel @ SV2 @ SY304 )
            | ( mrel @ SY305 @ SY304 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[30]) ).

thf(44,plain,
    ! [SV3: mworld] :
      ( ( eiw_di @ ( sK8_X @ SV3 ) @ SV3 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[31]) ).

thf(45,plain,
    ! [SV4: mworld] :
      ( ( ! [SY306: mworld,SY307: $i] :
            ( ~ ( eiw_di @ SY307 @ SV4 )
            | ~ ( mrel @ SY306 @ SV4 )
            | ( eiw_di @ SY307 @ SY306 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[32]) ).

thf(46,plain,
    ! [SV5: mworld] :
      ( ( ~ ( mrel @ mactual @ SV5 )
        | ! [SY308: $i] :
            ( ~ ( eiw_di @ SY308 @ SV5 )
            | ! [SY309: $i] :
                ( ~ ( eiw_di @ SY309 @ SV5 )
                | ! [SY310: $i] :
                    ( ~ ( eiw_di @ SY310 @ SV5 )
                    | ~ ( entry_box @ SY310 @ SV5 )
                    | ~ ( string @ SY309 @ SV5 )
                    | ~ ( ~ ! [SY311: mworld] :
                              ( ~ ( mrel @ SV5 @ SY311 )
                              | ! [SY312: $i] :
                                  ( ~ ( eiw_di @ SY312 @ SY311 )
                                  | ~ ( do @ SY308 @ ( sK5_SY228 @ SY310 @ SY309 @ SY308 @ SV5 ) @ SY312 @ SY311 )
                                  | ( in @ SY309 @ SY310 @ SY312 @ SY311 ) ) )
                        | ~ ( eiw_di @ ( sK5_SY228 @ SY310 @ SY309 @ SY308 @ SV5 ) @ SV5 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[38]) ).

thf(47,plain,
    ! [SV6: mworld] :
      ( ( ~ ( mrel @ mactual @ SV6 )
        | ~ ( ~ ~ ( ~ ! [SY313: mworld] :
                        ( ~ ( mrel @ SV6 @ SY313 )
                        | ( string @ ( sK7_SY273 @ SV6 ) @ SY313 ) )
                  | ~ ! [SY314: mworld] :
                        ( ~ ( mrel @ SV6 @ SY314 )
                        | ( userid @ u @ ( sK7_SY273 @ SV6 ) @ SY314 ) ) )
            | ~ ( eiw_di @ ( sK7_SY273 @ SV6 ) @ SV6 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[39]) ).

thf(48,plain,
    ! [SV7: $i] :
      ( ( ! [SY315: $i] :
            ( ! [SY316: $i] :
                ( ! [SY317: $i] :
                    ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SY317 @ SY316 @ SY315 @ SV7 ) )
                        | ~ ( ~ ( entry_box @ SY315 @ ( sK4_SY294 @ SY317 @ SY316 @ SY315 @ SV7 ) )
                            | ~ ( number @ SY315 @ one @ ( sK4_SY294 @ SY317 @ SY316 @ SY315 @ SV7 ) )
                            | ~ ( userid @ u @ SV7 @ ( sK4_SY294 @ SY317 @ SY316 @ SY315 @ SV7 ) ) ) )
                    | ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SY317 @ SY316 @ SY315 @ SV7 ) )
                        | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SY317 @ SY316 @ SY315 @ SV7 ) @ ( sK2_SY295 @ SY317 @ SY316 @ SY315 @ SV7 ) )
                              | ~ ~ ( ~ ( do @ SY317 @ SY316 @ ( sK3_SY297 @ SY317 @ SY316 @ SY315 @ SV7 ) @ ( sK2_SY295 @ SY317 @ SY316 @ SY315 @ SV7 ) )
                                    | ~ ~ ( in @ SV7 @ SY315 @ ( sK3_SY297 @ SY317 @ SY316 @ SY315 @ SV7 ) @ ( sK2_SY295 @ SY317 @ SY316 @ SY315 @ SV7 ) ) ) ) )
                    | ~ ( eiw_di @ SY317 @ sK1_SY144 ) )
                | ~ ( eiw_di @ SY316 @ sK1_SY144 ) )
            | ~ ( eiw_di @ SY315 @ sK1_SY144 ) )
        | ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[40]) ).

thf(49,plain,
    ( ( ~ ~ ( ~ ! [SX0: mworld] :
                  ( ~ ( mrel @ mactual @ SX0 )
                  | ( entry_box @ sK6_SY256 @ SX0 ) )
            | ~ ! [SX0: mworld] :
                  ( ~ ( mrel @ mactual @ SX0 )
                  | ( number @ sK6_SY256 @ one @ SX0 ) ) )
      | ~ ( eiw_di @ sK6_SY256 @ mactual ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[41]) ).

thf(50,plain,
    ! [SV8: mworld,SV2: mworld] :
      ( ( ! [SY318: mworld] :
            ( ~ ( mrel @ SV2 @ SY318 )
            | ~ ( mrel @ SV2 @ SV8 )
            | ( mrel @ SY318 @ SV8 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[43]) ).

thf(51,plain,
    ! [SV9: mworld,SV4: mworld] :
      ( ( ! [SY319: $i] :
            ( ~ ( eiw_di @ SY319 @ SV4 )
            | ~ ( mrel @ SV9 @ SV4 )
            | ( eiw_di @ SY319 @ SV9 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[45]) ).

thf(52,plain,
    ! [SV5: mworld] :
      ( ( ( ~ ( mrel @ mactual @ SV5 ) )
        = $true )
      | ( ( ! [SY308: $i] :
              ( ~ ( eiw_di @ SY308 @ SV5 )
              | ! [SY309: $i] :
                  ( ~ ( eiw_di @ SY309 @ SV5 )
                  | ! [SY310: $i] :
                      ( ~ ( eiw_di @ SY310 @ SV5 )
                      | ~ ( entry_box @ SY310 @ SV5 )
                      | ~ ( string @ SY309 @ SV5 )
                      | ~ ( ~ ! [SY311: mworld] :
                                ( ~ ( mrel @ SV5 @ SY311 )
                                | ! [SY312: $i] :
                                    ( ~ ( eiw_di @ SY312 @ SY311 )
                                    | ~ ( do @ SY308 @ ( sK5_SY228 @ SY310 @ SY309 @ SY308 @ SV5 ) @ SY312 @ SY311 )
                                    | ( in @ SY309 @ SY310 @ SY312 @ SY311 ) ) )
                          | ~ ( eiw_di @ ( sK5_SY228 @ SY310 @ SY309 @ SY308 @ SV5 ) @ SV5 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[46]) ).

thf(53,plain,
    ! [SV6: mworld] :
      ( ( ( ~ ( mrel @ mactual @ SV6 ) )
        = $true )
      | ( ( ~ ( ~ ~ ( ~ ! [SY313: mworld] :
                          ( ~ ( mrel @ SV6 @ SY313 )
                          | ( string @ ( sK7_SY273 @ SV6 ) @ SY313 ) )
                    | ~ ! [SY314: mworld] :
                          ( ~ ( mrel @ SV6 @ SY314 )
                          | ( userid @ u @ ( sK7_SY273 @ SV6 ) @ SY314 ) ) )
              | ~ ( eiw_di @ ( sK7_SY273 @ SV6 ) @ SV6 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[47]) ).

thf(54,plain,
    ! [SV7: $i] :
      ( ( ( ! [SY315: $i] :
              ( ! [SY316: $i] :
                  ( ! [SY317: $i] :
                      ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SY317 @ SY316 @ SY315 @ SV7 ) )
                          | ~ ( ~ ( entry_box @ SY315 @ ( sK4_SY294 @ SY317 @ SY316 @ SY315 @ SV7 ) )
                              | ~ ( number @ SY315 @ one @ ( sK4_SY294 @ SY317 @ SY316 @ SY315 @ SV7 ) )
                              | ~ ( userid @ u @ SV7 @ ( sK4_SY294 @ SY317 @ SY316 @ SY315 @ SV7 ) ) ) )
                      | ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SY317 @ SY316 @ SY315 @ SV7 ) )
                          | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SY317 @ SY316 @ SY315 @ SV7 ) @ ( sK2_SY295 @ SY317 @ SY316 @ SY315 @ SV7 ) )
                                | ~ ~ ( ~ ( do @ SY317 @ SY316 @ ( sK3_SY297 @ SY317 @ SY316 @ SY315 @ SV7 ) @ ( sK2_SY295 @ SY317 @ SY316 @ SY315 @ SV7 ) )
                                      | ~ ~ ( in @ SV7 @ SY315 @ ( sK3_SY297 @ SY317 @ SY316 @ SY315 @ SV7 ) @ ( sK2_SY295 @ SY317 @ SY316 @ SY315 @ SV7 ) ) ) ) )
                      | ~ ( eiw_di @ SY317 @ sK1_SY144 ) )
                  | ~ ( eiw_di @ SY316 @ sK1_SY144 ) )
              | ~ ( eiw_di @ SY315 @ sK1_SY144 ) ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[48]) ).

thf(55,plain,
    ( ( ~ ~ ( ~ ! [SX0: mworld] :
                  ( ~ ( mrel @ mactual @ SX0 )
                  | ( entry_box @ sK6_SY256 @ SX0 ) )
            | ~ ! [SX0: mworld] :
                  ( ~ ( mrel @ mactual @ SX0 )
                  | ( number @ sK6_SY256 @ one @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[49]) ).

thf(56,plain,
    ( ( ~ ( eiw_di @ sK6_SY256 @ mactual ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[49]) ).

thf(57,plain,
    ! [SV8: mworld,SV10: mworld,SV2: mworld] :
      ( ( ~ ( mrel @ SV2 @ SV10 )
        | ~ ( mrel @ SV2 @ SV8 )
        | ( mrel @ SV10 @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[50]) ).

thf(58,plain,
    ! [SV9: mworld,SV4: mworld,SV11: $i] :
      ( ( ~ ( eiw_di @ SV11 @ SV4 )
        | ~ ( mrel @ SV9 @ SV4 )
        | ( eiw_di @ SV11 @ SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[51]) ).

thf(59,plain,
    ! [SV5: mworld] :
      ( ( ( mrel @ mactual @ SV5 )
        = $false )
      | ( ( ! [SY308: $i] :
              ( ~ ( eiw_di @ SY308 @ SV5 )
              | ! [SY309: $i] :
                  ( ~ ( eiw_di @ SY309 @ SV5 )
                  | ! [SY310: $i] :
                      ( ~ ( eiw_di @ SY310 @ SV5 )
                      | ~ ( entry_box @ SY310 @ SV5 )
                      | ~ ( string @ SY309 @ SV5 )
                      | ~ ( ~ ! [SY311: mworld] :
                                ( ~ ( mrel @ SV5 @ SY311 )
                                | ! [SY312: $i] :
                                    ( ~ ( eiw_di @ SY312 @ SY311 )
                                    | ~ ( do @ SY308 @ ( sK5_SY228 @ SY310 @ SY309 @ SY308 @ SV5 ) @ SY312 @ SY311 )
                                    | ( in @ SY309 @ SY310 @ SY312 @ SY311 ) ) )
                          | ~ ( eiw_di @ ( sK5_SY228 @ SY310 @ SY309 @ SY308 @ SV5 ) @ SV5 ) ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[52]) ).

thf(60,plain,
    ! [SV6: mworld] :
      ( ( ( mrel @ mactual @ SV6 )
        = $false )
      | ( ( ~ ( ~ ~ ( ~ ! [SY313: mworld] :
                          ( ~ ( mrel @ SV6 @ SY313 )
                          | ( string @ ( sK7_SY273 @ SV6 ) @ SY313 ) )
                    | ~ ! [SY314: mworld] :
                          ( ~ ( mrel @ SV6 @ SY314 )
                          | ( userid @ u @ ( sK7_SY273 @ SV6 ) @ SY314 ) ) )
              | ~ ( eiw_di @ ( sK7_SY273 @ SV6 ) @ SV6 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[53]) ).

thf(61,plain,
    ! [SV7: $i,SV12: $i] :
      ( ( ( ! [SY320: $i] :
              ( ! [SY321: $i] :
                  ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SY321 @ SY320 @ SV12 @ SV7 ) )
                      | ~ ( ~ ( entry_box @ SV12 @ ( sK4_SY294 @ SY321 @ SY320 @ SV12 @ SV7 ) )
                          | ~ ( number @ SV12 @ one @ ( sK4_SY294 @ SY321 @ SY320 @ SV12 @ SV7 ) )
                          | ~ ( userid @ u @ SV7 @ ( sK4_SY294 @ SY321 @ SY320 @ SV12 @ SV7 ) ) ) )
                  | ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SY321 @ SY320 @ SV12 @ SV7 ) )
                      | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SY321 @ SY320 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SY321 @ SY320 @ SV12 @ SV7 ) )
                            | ~ ~ ( ~ ( do @ SY321 @ SY320 @ ( sK3_SY297 @ SY321 @ SY320 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SY321 @ SY320 @ SV12 @ SV7 ) )
                                  | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SY321 @ SY320 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SY321 @ SY320 @ SV12 @ SV7 ) ) ) ) )
                  | ~ ( eiw_di @ SY321 @ sK1_SY144 ) )
              | ~ ( eiw_di @ SY320 @ sK1_SY144 ) )
          | ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[54]) ).

thf(62,plain,
    ( ( ~ ( ~ ! [SX0: mworld] :
                ( ~ ( mrel @ mactual @ SX0 )
                | ( entry_box @ sK6_SY256 @ SX0 ) )
          | ~ ! [SX0: mworld] :
                ( ~ ( mrel @ mactual @ SX0 )
                | ( number @ sK6_SY256 @ one @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[55]) ).

thf(63,plain,
    ( ( eiw_di @ sK6_SY256 @ mactual )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[56]) ).

thf(64,plain,
    ! [SV8: mworld,SV10: mworld,SV2: mworld] :
      ( ( ( ~ ( mrel @ SV2 @ SV10 )
          | ~ ( mrel @ SV2 @ SV8 ) )
        = $true )
      | ( ( mrel @ SV10 @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[57]) ).

thf(65,plain,
    ! [SV9: mworld,SV4: mworld,SV11: $i] :
      ( ( ( ~ ( eiw_di @ SV11 @ SV4 )
          | ~ ( mrel @ SV9 @ SV4 ) )
        = $true )
      | ( ( eiw_di @ SV11 @ SV9 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[58]) ).

thf(66,plain,
    ! [SV5: mworld,SV13: $i] :
      ( ( ( ~ ( eiw_di @ SV13 @ SV5 )
          | ! [SY322: $i] :
              ( ~ ( eiw_di @ SY322 @ SV5 )
              | ! [SY323: $i] :
                  ( ~ ( eiw_di @ SY323 @ SV5 )
                  | ~ ( entry_box @ SY323 @ SV5 )
                  | ~ ( string @ SY322 @ SV5 )
                  | ~ ( ~ ! [SY324: mworld] :
                            ( ~ ( mrel @ SV5 @ SY324 )
                            | ! [SY325: $i] :
                                ( ~ ( eiw_di @ SY325 @ SY324 )
                                | ~ ( do @ SV13 @ ( sK5_SY228 @ SY323 @ SY322 @ SV13 @ SV5 ) @ SY325 @ SY324 )
                                | ( in @ SY322 @ SY323 @ SY325 @ SY324 ) ) )
                      | ~ ( eiw_di @ ( sK5_SY228 @ SY323 @ SY322 @ SV13 @ SV5 ) @ SV5 ) ) ) ) )
        = $true )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[59]) ).

thf(67,plain,
    ! [SV6: mworld] :
      ( ( ( ~ ~ ( ~ ! [SY313: mworld] :
                      ( ~ ( mrel @ SV6 @ SY313 )
                      | ( string @ ( sK7_SY273 @ SV6 ) @ SY313 ) )
                | ~ ! [SY314: mworld] :
                      ( ~ ( mrel @ SV6 @ SY314 )
                      | ( userid @ u @ ( sK7_SY273 @ SV6 ) @ SY314 ) ) )
          | ~ ( eiw_di @ ( sK7_SY273 @ SV6 ) @ SV6 ) )
        = $false )
      | ( ( mrel @ mactual @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[60]) ).

thf(68,plain,
    ! [SV7: $i,SV12: $i] :
      ( ( ( ! [SY320: $i] :
              ( ! [SY321: $i] :
                  ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SY321 @ SY320 @ SV12 @ SV7 ) )
                      | ~ ( ~ ( entry_box @ SV12 @ ( sK4_SY294 @ SY321 @ SY320 @ SV12 @ SV7 ) )
                          | ~ ( number @ SV12 @ one @ ( sK4_SY294 @ SY321 @ SY320 @ SV12 @ SV7 ) )
                          | ~ ( userid @ u @ SV7 @ ( sK4_SY294 @ SY321 @ SY320 @ SV12 @ SV7 ) ) ) )
                  | ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SY321 @ SY320 @ SV12 @ SV7 ) )
                      | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SY321 @ SY320 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SY321 @ SY320 @ SV12 @ SV7 ) )
                            | ~ ~ ( ~ ( do @ SY321 @ SY320 @ ( sK3_SY297 @ SY321 @ SY320 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SY321 @ SY320 @ SV12 @ SV7 ) )
                                  | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SY321 @ SY320 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SY321 @ SY320 @ SV12 @ SV7 ) ) ) ) )
                  | ~ ( eiw_di @ SY321 @ sK1_SY144 ) )
              | ~ ( eiw_di @ SY320 @ sK1_SY144 ) ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[61]) ).

thf(69,plain,
    ( ( ~ ! [SX0: mworld] :
            ( ~ ( mrel @ mactual @ SX0 )
            | ( entry_box @ sK6_SY256 @ SX0 ) )
      | ~ ! [SX0: mworld] :
            ( ~ ( mrel @ mactual @ SX0 )
            | ( number @ sK6_SY256 @ one @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[62]) ).

thf(70,plain,
    ! [SV8: mworld,SV10: mworld,SV2: mworld] :
      ( ( ( ~ ( mrel @ SV2 @ SV10 ) )
        = $true )
      | ( ( ~ ( mrel @ SV2 @ SV8 ) )
        = $true )
      | ( ( mrel @ SV10 @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[64]) ).

thf(71,plain,
    ! [SV9: mworld,SV4: mworld,SV11: $i] :
      ( ( ( ~ ( eiw_di @ SV11 @ SV4 ) )
        = $true )
      | ( ( ~ ( mrel @ SV9 @ SV4 ) )
        = $true )
      | ( ( eiw_di @ SV11 @ SV9 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[65]) ).

thf(72,plain,
    ! [SV5: mworld,SV13: $i] :
      ( ( ( ~ ( eiw_di @ SV13 @ SV5 ) )
        = $true )
      | ( ( ! [SY322: $i] :
              ( ~ ( eiw_di @ SY322 @ SV5 )
              | ! [SY323: $i] :
                  ( ~ ( eiw_di @ SY323 @ SV5 )
                  | ~ ( entry_box @ SY323 @ SV5 )
                  | ~ ( string @ SY322 @ SV5 )
                  | ~ ( ~ ! [SY324: mworld] :
                            ( ~ ( mrel @ SV5 @ SY324 )
                            | ! [SY325: $i] :
                                ( ~ ( eiw_di @ SY325 @ SY324 )
                                | ~ ( do @ SV13 @ ( sK5_SY228 @ SY323 @ SY322 @ SV13 @ SV5 ) @ SY325 @ SY324 )
                                | ( in @ SY322 @ SY323 @ SY325 @ SY324 ) ) )
                      | ~ ( eiw_di @ ( sK5_SY228 @ SY323 @ SY322 @ SV13 @ SV5 ) @ SV5 ) ) ) ) )
        = $true )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[66]) ).

thf(73,plain,
    ! [SV6: mworld] :
      ( ( ( ~ ~ ( ~ ! [SY313: mworld] :
                      ( ~ ( mrel @ SV6 @ SY313 )
                      | ( string @ ( sK7_SY273 @ SV6 ) @ SY313 ) )
                | ~ ! [SY314: mworld] :
                      ( ~ ( mrel @ SV6 @ SY314 )
                      | ( userid @ u @ ( sK7_SY273 @ SV6 ) @ SY314 ) ) ) )
        = $false )
      | ( ( mrel @ mactual @ SV6 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[67]) ).

thf(74,plain,
    ! [SV6: mworld] :
      ( ( ( ~ ( eiw_di @ ( sK7_SY273 @ SV6 ) @ SV6 ) )
        = $false )
      | ( ( mrel @ mactual @ SV6 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[67]) ).

thf(75,plain,
    ! [SV7: $i,SV12: $i,SV14: $i] :
      ( ( ( ! [SY326: $i] :
              ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SY326 @ SV14 @ SV12 @ SV7 ) )
                  | ~ ( ~ ( entry_box @ SV12 @ ( sK4_SY294 @ SY326 @ SV14 @ SV12 @ SV7 ) )
                      | ~ ( number @ SV12 @ one @ ( sK4_SY294 @ SY326 @ SV14 @ SV12 @ SV7 ) )
                      | ~ ( userid @ u @ SV7 @ ( sK4_SY294 @ SY326 @ SV14 @ SV12 @ SV7 ) ) ) )
              | ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SY326 @ SV14 @ SV12 @ SV7 ) )
                  | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SY326 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SY326 @ SV14 @ SV12 @ SV7 ) )
                        | ~ ~ ( ~ ( do @ SY326 @ SV14 @ ( sK3_SY297 @ SY326 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SY326 @ SV14 @ SV12 @ SV7 ) )
                              | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SY326 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SY326 @ SV14 @ SV12 @ SV7 ) ) ) ) )
              | ~ ( eiw_di @ SY326 @ sK1_SY144 ) )
          | ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[68]) ).

thf(76,plain,
    ( ( ~ ! [SX0: mworld] :
            ( ~ ( mrel @ mactual @ SX0 )
            | ( entry_box @ sK6_SY256 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[69]) ).

thf(77,plain,
    ( ( ~ ! [SX0: mworld] :
            ( ~ ( mrel @ mactual @ SX0 )
            | ( number @ sK6_SY256 @ one @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[69]) ).

thf(78,plain,
    ! [SV8: mworld,SV10: mworld,SV2: mworld] :
      ( ( ( mrel @ SV2 @ SV10 )
        = $false )
      | ( ( ~ ( mrel @ SV2 @ SV8 ) )
        = $true )
      | ( ( mrel @ SV10 @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[70]) ).

thf(79,plain,
    ! [SV9: mworld,SV4: mworld,SV11: $i] :
      ( ( ( eiw_di @ SV11 @ SV4 )
        = $false )
      | ( ( ~ ( mrel @ SV9 @ SV4 ) )
        = $true )
      | ( ( eiw_di @ SV11 @ SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[71]) ).

thf(80,plain,
    ! [SV5: mworld,SV13: $i] :
      ( ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( ! [SY322: $i] :
              ( ~ ( eiw_di @ SY322 @ SV5 )
              | ! [SY323: $i] :
                  ( ~ ( eiw_di @ SY323 @ SV5 )
                  | ~ ( entry_box @ SY323 @ SV5 )
                  | ~ ( string @ SY322 @ SV5 )
                  | ~ ( ~ ! [SY324: mworld] :
                            ( ~ ( mrel @ SV5 @ SY324 )
                            | ! [SY325: $i] :
                                ( ~ ( eiw_di @ SY325 @ SY324 )
                                | ~ ( do @ SV13 @ ( sK5_SY228 @ SY323 @ SY322 @ SV13 @ SV5 ) @ SY325 @ SY324 )
                                | ( in @ SY322 @ SY323 @ SY325 @ SY324 ) ) )
                      | ~ ( eiw_di @ ( sK5_SY228 @ SY323 @ SY322 @ SV13 @ SV5 ) @ SV5 ) ) ) ) )
        = $true )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[72]) ).

thf(81,plain,
    ! [SV6: mworld] :
      ( ( ( ~ ( ~ ! [SY313: mworld] :
                    ( ~ ( mrel @ SV6 @ SY313 )
                    | ( string @ ( sK7_SY273 @ SV6 ) @ SY313 ) )
              | ~ ! [SY314: mworld] :
                    ( ~ ( mrel @ SV6 @ SY314 )
                    | ( userid @ u @ ( sK7_SY273 @ SV6 ) @ SY314 ) ) ) )
        = $true )
      | ( ( mrel @ mactual @ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[73]) ).

thf(82,plain,
    ! [SV6: mworld] :
      ( ( ( eiw_di @ ( sK7_SY273 @ SV6 ) @ SV6 )
        = $true )
      | ( ( mrel @ mactual @ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[74]) ).

thf(83,plain,
    ! [SV7: $i,SV12: $i,SV14: $i] :
      ( ( ( ! [SY326: $i] :
              ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SY326 @ SV14 @ SV12 @ SV7 ) )
                  | ~ ( ~ ( entry_box @ SV12 @ ( sK4_SY294 @ SY326 @ SV14 @ SV12 @ SV7 ) )
                      | ~ ( number @ SV12 @ one @ ( sK4_SY294 @ SY326 @ SV14 @ SV12 @ SV7 ) )
                      | ~ ( userid @ u @ SV7 @ ( sK4_SY294 @ SY326 @ SV14 @ SV12 @ SV7 ) ) ) )
              | ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SY326 @ SV14 @ SV12 @ SV7 ) )
                  | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SY326 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SY326 @ SV14 @ SV12 @ SV7 ) )
                        | ~ ~ ( ~ ( do @ SY326 @ SV14 @ ( sK3_SY297 @ SY326 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SY326 @ SV14 @ SV12 @ SV7 ) )
                              | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SY326 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SY326 @ SV14 @ SV12 @ SV7 ) ) ) ) )
              | ~ ( eiw_di @ SY326 @ sK1_SY144 ) ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[75]) ).

thf(84,plain,
    ( ( ! [SX0: mworld] :
          ( ~ ( mrel @ mactual @ SX0 )
          | ( entry_box @ sK6_SY256 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[76]) ).

thf(85,plain,
    ( ( ! [SX0: mworld] :
          ( ~ ( mrel @ mactual @ SX0 )
          | ( number @ sK6_SY256 @ one @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[77]) ).

thf(86,plain,
    ! [SV10: mworld,SV8: mworld,SV2: mworld] :
      ( ( ( mrel @ SV2 @ SV8 )
        = $false )
      | ( ( mrel @ SV2 @ SV10 )
        = $false )
      | ( ( mrel @ SV10 @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[78]) ).

thf(87,plain,
    ! [SV11: $i,SV4: mworld,SV9: mworld] :
      ( ( ( mrel @ SV9 @ SV4 )
        = $false )
      | ( ( eiw_di @ SV11 @ SV4 )
        = $false )
      | ( ( eiw_di @ SV11 @ SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[79]) ).

thf(88,plain,
    ! [SV13: $i,SV5: mworld,SV15: $i] :
      ( ( ( ~ ( eiw_di @ SV15 @ SV5 )
          | ! [SY327: $i] :
              ( ~ ( eiw_di @ SY327 @ SV5 )
              | ~ ( entry_box @ SY327 @ SV5 )
              | ~ ( string @ SV15 @ SV5 )
              | ~ ( ~ ! [SY328: mworld] :
                        ( ~ ( mrel @ SV5 @ SY328 )
                        | ! [SY329: $i] :
                            ( ~ ( eiw_di @ SY329 @ SY328 )
                            | ~ ( do @ SV13 @ ( sK5_SY228 @ SY327 @ SV15 @ SV13 @ SV5 ) @ SY329 @ SY328 )
                            | ( in @ SV15 @ SY327 @ SY329 @ SY328 ) ) )
                  | ~ ( eiw_di @ ( sK5_SY228 @ SY327 @ SV15 @ SV13 @ SV5 ) @ SV5 ) ) ) )
        = $true )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[80]) ).

thf(89,plain,
    ! [SV6: mworld] :
      ( ( ( ~ ! [SY313: mworld] :
                ( ~ ( mrel @ SV6 @ SY313 )
                | ( string @ ( sK7_SY273 @ SV6 ) @ SY313 ) )
          | ~ ! [SY314: mworld] :
                ( ~ ( mrel @ SV6 @ SY314 )
                | ( userid @ u @ ( sK7_SY273 @ SV6 ) @ SY314 ) ) )
        = $false )
      | ( ( mrel @ mactual @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[81]) ).

thf(90,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ( ~ ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                  | ~ ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                  | ~ ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) )
          | ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                    | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                          | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) )
          | ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[83]) ).

thf(91,plain,
    ! [SV17: mworld] :
      ( ( ~ ( mrel @ mactual @ SV17 )
        | ( entry_box @ sK6_SY256 @ SV17 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[84]) ).

thf(92,plain,
    ! [SV18: mworld] :
      ( ( ~ ( mrel @ mactual @ SV18 )
        | ( number @ sK6_SY256 @ one @ SV18 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[85]) ).

thf(93,plain,
    ! [SV13: $i,SV5: mworld,SV15: $i] :
      ( ( ( ~ ( eiw_di @ SV15 @ SV5 ) )
        = $true )
      | ( ( ! [SY327: $i] :
              ( ~ ( eiw_di @ SY327 @ SV5 )
              | ~ ( entry_box @ SY327 @ SV5 )
              | ~ ( string @ SV15 @ SV5 )
              | ~ ( ~ ! [SY328: mworld] :
                        ( ~ ( mrel @ SV5 @ SY328 )
                        | ! [SY329: $i] :
                            ( ~ ( eiw_di @ SY329 @ SY328 )
                            | ~ ( do @ SV13 @ ( sK5_SY228 @ SY327 @ SV15 @ SV13 @ SV5 ) @ SY329 @ SY328 )
                            | ( in @ SV15 @ SY327 @ SY329 @ SY328 ) ) )
                  | ~ ( eiw_di @ ( sK5_SY228 @ SY327 @ SV15 @ SV13 @ SV5 ) @ SV5 ) ) ) )
        = $true )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[88]) ).

thf(94,plain,
    ! [SV6: mworld] :
      ( ( ( ~ ! [SY313: mworld] :
                ( ~ ( mrel @ SV6 @ SY313 )
                | ( string @ ( sK7_SY273 @ SV6 ) @ SY313 ) ) )
        = $false )
      | ( ( mrel @ mactual @ SV6 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[89]) ).

thf(95,plain,
    ! [SV6: mworld] :
      ( ( ( ~ ! [SY314: mworld] :
                ( ~ ( mrel @ SV6 @ SY314 )
                | ( userid @ u @ ( sK7_SY273 @ SV6 ) @ SY314 ) ) )
        = $false )
      | ( ( mrel @ mactual @ SV6 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[89]) ).

thf(96,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ( ~ ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                  | ~ ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                  | ~ ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) )
          | ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                    | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                          | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[90]) ).

thf(97,plain,
    ! [SV17: mworld] :
      ( ( ( ~ ( mrel @ mactual @ SV17 ) )
        = $true )
      | ( ( entry_box @ sK6_SY256 @ SV17 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[91]) ).

thf(98,plain,
    ! [SV18: mworld] :
      ( ( ( ~ ( mrel @ mactual @ SV18 ) )
        = $true )
      | ( ( number @ sK6_SY256 @ one @ SV18 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[92]) ).

thf(99,plain,
    ! [SV13: $i,SV5: mworld,SV15: $i] :
      ( ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( ! [SY327: $i] :
              ( ~ ( eiw_di @ SY327 @ SV5 )
              | ~ ( entry_box @ SY327 @ SV5 )
              | ~ ( string @ SV15 @ SV5 )
              | ~ ( ~ ! [SY328: mworld] :
                        ( ~ ( mrel @ SV5 @ SY328 )
                        | ! [SY329: $i] :
                            ( ~ ( eiw_di @ SY329 @ SY328 )
                            | ~ ( do @ SV13 @ ( sK5_SY228 @ SY327 @ SV15 @ SV13 @ SV5 ) @ SY329 @ SY328 )
                            | ( in @ SV15 @ SY327 @ SY329 @ SY328 ) ) )
                  | ~ ( eiw_di @ ( sK5_SY228 @ SY327 @ SV15 @ SV13 @ SV5 ) @ SV5 ) ) ) )
        = $true )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[93]) ).

thf(100,plain,
    ! [SV6: mworld] :
      ( ( ( ! [SY313: mworld] :
              ( ~ ( mrel @ SV6 @ SY313 )
              | ( string @ ( sK7_SY273 @ SV6 ) @ SY313 ) ) )
        = $true )
      | ( ( mrel @ mactual @ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[94]) ).

thf(101,plain,
    ! [SV6: mworld] :
      ( ( ( ! [SY314: mworld] :
              ( ~ ( mrel @ SV6 @ SY314 )
              | ( userid @ u @ ( sK7_SY273 @ SV6 ) @ SY314 ) ) )
        = $true )
      | ( ( mrel @ mactual @ SV6 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[95]) ).

thf(102,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ( ~ ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                  | ~ ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                  | ~ ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                    | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                          | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[96]) ).

thf(103,plain,
    ! [SV17: mworld] :
      ( ( ( mrel @ mactual @ SV17 )
        = $false )
      | ( ( entry_box @ sK6_SY256 @ SV17 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[97]) ).

thf(104,plain,
    ! [SV18: mworld] :
      ( ( ( mrel @ mactual @ SV18 )
        = $false )
      | ( ( number @ sK6_SY256 @ one @ SV18 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[98]) ).

thf(105,plain,
    ! [SV13: $i,SV15: $i,SV5: mworld,SV19: $i] :
      ( ( ( ~ ( eiw_di @ SV19 @ SV5 )
          | ~ ( entry_box @ SV19 @ SV5 )
          | ~ ( string @ SV15 @ SV5 )
          | ~ ( ~ ! [SY330: mworld] :
                    ( ~ ( mrel @ SV5 @ SY330 )
                    | ! [SY331: $i] :
                        ( ~ ( eiw_di @ SY331 @ SY330 )
                        | ~ ( do @ SV13 @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SY331 @ SY330 )
                        | ( in @ SV15 @ SV19 @ SY331 @ SY330 ) ) )
              | ~ ( eiw_di @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SV5 ) ) )
        = $true )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[99]) ).

thf(106,plain,
    ! [SV20: mworld,SV6: mworld] :
      ( ( ( ~ ( mrel @ SV6 @ SV20 )
          | ( string @ ( sK7_SY273 @ SV6 ) @ SV20 ) )
        = $true )
      | ( ( mrel @ mactual @ SV6 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[100]) ).

thf(107,plain,
    ! [SV21: mworld,SV6: mworld] :
      ( ( ( ~ ( mrel @ SV6 @ SV21 )
          | ( userid @ u @ ( sK7_SY273 @ SV6 ) @ SV21 ) )
        = $true )
      | ( ( mrel @ mactual @ SV6 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[101]) ).

thf(108,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
          | ~ ( ~ ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                    | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                          | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[102]) ).

thf(109,plain,
    ! [SV13: $i,SV15: $i,SV5: mworld,SV19: $i] :
      ( ( ( ~ ( eiw_di @ SV19 @ SV5 ) )
        = $true )
      | ( ( ~ ( entry_box @ SV19 @ SV5 )
          | ~ ( string @ SV15 @ SV5 )
          | ~ ( ~ ! [SY330: mworld] :
                    ( ~ ( mrel @ SV5 @ SY330 )
                    | ! [SY331: $i] :
                        ( ~ ( eiw_di @ SY331 @ SY330 )
                        | ~ ( do @ SV13 @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SY331 @ SY330 )
                        | ( in @ SV15 @ SV19 @ SY331 @ SY330 ) ) )
              | ~ ( eiw_di @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SV5 ) ) )
        = $true )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[105]) ).

thf(110,plain,
    ! [SV20: mworld,SV6: mworld] :
      ( ( ( ~ ( mrel @ SV6 @ SV20 ) )
        = $true )
      | ( ( string @ ( sK7_SY273 @ SV6 ) @ SV20 )
        = $true )
      | ( ( mrel @ mactual @ SV6 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[106]) ).

thf(111,plain,
    ! [SV21: mworld,SV6: mworld] :
      ( ( ( ~ ( mrel @ SV6 @ SV21 ) )
        = $true )
      | ( ( userid @ u @ ( sK7_SY273 @ SV6 ) @ SV21 )
        = $true )
      | ( ( mrel @ mactual @ SV6 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[107]) ).

thf(112,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $false )
      | ( ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                    | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                          | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[108]) ).

thf(113,plain,
    ! [SV7: $i,SV14: $i,SV16: $i,SV12: $i] :
      ( ( ( ~ ( ~ ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) )
        = $false )
      | ( ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                    | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                          | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[108]) ).

thf(114,plain,
    ! [SV13: $i,SV15: $i,SV5: mworld,SV19: $i] :
      ( ( ( eiw_di @ SV19 @ SV5 )
        = $false )
      | ( ( ~ ( entry_box @ SV19 @ SV5 )
          | ~ ( string @ SV15 @ SV5 )
          | ~ ( ~ ! [SY330: mworld] :
                    ( ~ ( mrel @ SV5 @ SY330 )
                    | ! [SY331: $i] :
                        ( ~ ( eiw_di @ SY331 @ SY330 )
                        | ~ ( do @ SV13 @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SY331 @ SY330 )
                        | ( in @ SV15 @ SV19 @ SY331 @ SY330 ) ) )
              | ~ ( eiw_di @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SV5 ) ) )
        = $true )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[109]) ).

thf(115,plain,
    ! [SV20: mworld,SV6: mworld] :
      ( ( ( mrel @ SV6 @ SV20 )
        = $false )
      | ( ( string @ ( sK7_SY273 @ SV6 ) @ SV20 )
        = $true )
      | ( ( mrel @ mactual @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[110]) ).

thf(116,plain,
    ! [SV21: mworld,SV6: mworld] :
      ( ( ( mrel @ SV6 @ SV21 )
        = $false )
      | ( ( userid @ u @ ( sK7_SY273 @ SV6 ) @ SV21 )
        = $true )
      | ( ( mrel @ mactual @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[111]) ).

thf(117,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                    | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                          | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[112]) ).

thf(118,plain,
    ! [SV7: $i,SV14: $i,SV16: $i,SV12: $i] :
      ( ( ( ~ ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
          | ~ ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
          | ~ ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $true )
      | ( ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                    | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                          | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[113]) ).

thf(119,plain,
    ! [SV13: $i,SV15: $i,SV5: mworld,SV19: $i] :
      ( ( ( ~ ( entry_box @ SV19 @ SV5 )
          | ~ ( string @ SV15 @ SV5 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY330: mworld] :
                    ( ~ ( mrel @ SV5 @ SY330 )
                    | ! [SY331: $i] :
                        ( ~ ( eiw_di @ SY331 @ SY330 )
                        | ~ ( do @ SV13 @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SY331 @ SY330 )
                        | ( in @ SV15 @ SV19 @ SY331 @ SY330 ) ) )
              | ~ ( eiw_di @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SV5 ) ) )
        = $true )
      | ( ( eiw_di @ SV19 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[114]) ).

thf(120,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
          | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                      | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[117]) ).

thf(121,plain,
    ! [SV7: $i,SV14: $i,SV16: $i,SV12: $i] :
      ( ( ( ~ ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
          | ~ ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $true )
      | ( ( ~ ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $true )
      | ( ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                    | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                          | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[118]) ).

thf(122,plain,
    ! [SV13: $i,SV15: $i,SV5: mworld,SV19: $i] :
      ( ( ( ~ ( entry_box @ SV19 @ SV5 ) )
        = $true )
      | ( ( ~ ( string @ SV15 @ SV5 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY330: mworld] :
                    ( ~ ( mrel @ SV5 @ SY330 )
                    | ! [SY331: $i] :
                        ( ~ ( eiw_di @ SY331 @ SY330 )
                        | ~ ( do @ SV13 @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SY331 @ SY330 )
                        | ( in @ SV15 @ SV19 @ SY331 @ SY330 ) ) )
              | ~ ( eiw_di @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SV5 ) ) )
        = $true )
      | ( ( eiw_di @ SV19 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[119]) ).

thf(123,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[120]) ).

thf(124,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                      | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[120]) ).

thf(125,plain,
    ! [SV7: $i,SV14: $i,SV16: $i,SV12: $i] :
      ( ( ( ~ ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $true )
      | ( ( ~ ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $true )
      | ( ( ~ ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $true )
      | ( ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                    | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                          | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[121]) ).

thf(126,plain,
    ! [SV13: $i,SV15: $i,SV5: mworld,SV19: $i] :
      ( ( ( entry_box @ SV19 @ SV5 )
        = $false )
      | ( ( ~ ( string @ SV15 @ SV5 ) )
        = $true )
      | ( ( ~ ( ~ ! [SY330: mworld] :
                    ( ~ ( mrel @ SV5 @ SY330 )
                    | ! [SY331: $i] :
                        ( ~ ( eiw_di @ SY331 @ SY330 )
                        | ~ ( do @ SV13 @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SY331 @ SY330 )
                        | ( in @ SV15 @ SV19 @ SY331 @ SY330 ) ) )
              | ~ ( eiw_di @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SV5 ) ) )
        = $true )
      | ( ( eiw_di @ SV19 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[122]) ).

thf(127,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[123]) ).

thf(128,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                    | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) )
        = $true )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[124]) ).

thf(129,plain,
    ! [SV7: $i,SV14: $i,SV16: $i,SV12: $i] :
      ( ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $true )
      | ( ( ~ ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $true )
      | ( ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                    | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                          | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[125]) ).

thf(130,plain,
    ! [SV13: $i,SV19: $i,SV5: mworld,SV15: $i] :
      ( ( ( string @ SV15 @ SV5 )
        = $false )
      | ( ( entry_box @ SV19 @ SV5 )
        = $false )
      | ( ( ~ ( ~ ! [SY330: mworld] :
                    ( ~ ( mrel @ SV5 @ SY330 )
                    | ! [SY331: $i] :
                        ( ~ ( eiw_di @ SY331 @ SY330 )
                        | ~ ( do @ SV13 @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SY331 @ SY330 )
                        | ( in @ SV15 @ SV19 @ SY331 @ SY330 ) ) )
              | ~ ( eiw_di @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SV5 ) ) )
        = $true )
      | ( ( eiw_di @ SV19 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[126]) ).

thf(131,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[127]) ).

thf(132,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
          | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[128]) ).

thf(133,plain,
    ! [SV7: $i,SV14: $i,SV16: $i,SV12: $i] :
      ( ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $true )
      | ( ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                    | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                          | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[129]) ).

thf(134,plain,
    ! [SV15: $i,SV19: $i,SV13: $i,SV5: mworld] :
      ( ( ( ~ ! [SY330: mworld] :
                ( ~ ( mrel @ SV5 @ SY330 )
                | ! [SY331: $i] :
                    ( ~ ( eiw_di @ SY331 @ SY330 )
                    | ~ ( do @ SV13 @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SY331 @ SY330 )
                    | ( in @ SV15 @ SV19 @ SY331 @ SY330 ) ) )
          | ~ ( eiw_di @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SV5 ) )
        = $false )
      | ( ( entry_box @ SV19 @ SV5 )
        = $false )
      | ( ( string @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV19 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[130]) ).

thf(135,plain,
    ! [SV7: $i,SV12: $i,SV16: $i,SV14: $i] :
      ( ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[131]) ).

thf(136,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[132]) ).

thf(137,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[132]) ).

thf(138,plain,
    ! [SV12: $i,SV14: $i,SV16: $i,SV7: $i] :
      ( ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                    | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                          | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[133]) ).

thf(139,plain,
    ! [SV15: $i,SV19: $i,SV13: $i,SV5: mworld] :
      ( ( ( ~ ! [SY330: mworld] :
                ( ~ ( mrel @ SV5 @ SY330 )
                | ! [SY331: $i] :
                    ( ~ ( eiw_di @ SY331 @ SY330 )
                    | ~ ( do @ SV13 @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SY331 @ SY330 )
                    | ( in @ SV15 @ SV19 @ SY331 @ SY330 ) ) ) )
        = $false )
      | ( ( entry_box @ SV19 @ SV5 )
        = $false )
      | ( ( string @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV19 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[134]) ).

thf(140,plain,
    ! [SV5: mworld,SV13: $i,SV15: $i,SV19: $i] :
      ( ( ( ~ ( eiw_di @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SV5 ) )
        = $false )
      | ( ( entry_box @ SV19 @ SV5 )
        = $false )
      | ( ( string @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV19 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[134]) ).

thf(141,plain,
    ! [SV7: $i,SV14: $i,SV16: $i,SV12: $i] :
      ( ( ( eiw_di @ SV12 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[135]) ).

thf(142,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[136]) ).

thf(143,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) )
        = $true )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[137]) ).

thf(144,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
          | ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                      | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[138]) ).

thf(145,plain,
    ! [SV15: $i,SV19: $i,SV13: $i,SV5: mworld] :
      ( ( ( ! [SY330: mworld] :
              ( ~ ( mrel @ SV5 @ SY330 )
              | ! [SY331: $i] :
                  ( ~ ( eiw_di @ SY331 @ SY330 )
                  | ~ ( do @ SV13 @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SY331 @ SY330 )
                  | ( in @ SV15 @ SV19 @ SY331 @ SY330 ) ) ) )
        = $true )
      | ( ( entry_box @ SV19 @ SV5 )
        = $false )
      | ( ( string @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV19 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[139]) ).

thf(146,plain,
    ! [SV5: mworld,SV13: $i,SV15: $i,SV19: $i] :
      ( ( ( eiw_di @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SV5 )
        = $true )
      | ( ( entry_box @ SV19 @ SV5 )
        = $false )
      | ( ( string @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV19 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[140]) ).

thf(147,plain,
    ! [SV12: $i,SV16: $i,SV14: $i,SV7: $i] :
      ( ( ( eiw_di @ SV7 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV12 @ sK1_SY144 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[141]) ).

thf(148,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[142]) ).

thf(149,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
          | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[143]) ).

thf(150,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[144]) ).

thf(151,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                      | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[144]) ).

thf(152,plain,
    ! [SV15: $i,SV19: $i,SV13: $i,SV22: mworld,SV5: mworld] :
      ( ( ( ~ ( mrel @ SV5 @ SV22 )
          | ! [SY332: $i] :
              ( ~ ( eiw_di @ SY332 @ SV22 )
              | ~ ( do @ SV13 @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SY332 @ SV22 )
              | ( in @ SV15 @ SV19 @ SY332 @ SV22 ) ) )
        = $true )
      | ( ( entry_box @ SV19 @ SV5 )
        = $false )
      | ( ( string @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV19 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[145]) ).

thf(153,plain,
    ! [SV7: $i,SV12: $i,SV16: $i,SV14: $i] :
      ( ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[148]) ).

thf(154,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[149]) ).

thf(155,plain,
    ! [SV14: $i,SV16: $i,SV12: $i,SV7: $i] :
      ( ( ( ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[149]) ).

thf(156,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[150]) ).

thf(157,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                    | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) ) )
        = $true )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[151]) ).

thf(158,plain,
    ! [SV15: $i,SV19: $i,SV13: $i,SV22: mworld,SV5: mworld] :
      ( ( ( ~ ( mrel @ SV5 @ SV22 ) )
        = $true )
      | ( ( ! [SY332: $i] :
              ( ~ ( eiw_di @ SY332 @ SV22 )
              | ~ ( do @ SV13 @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SY332 @ SV22 )
              | ( in @ SV15 @ SV19 @ SY332 @ SV22 ) ) )
        = $true )
      | ( ( entry_box @ SV19 @ SV5 )
        = $false )
      | ( ( string @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV19 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[152]) ).

thf(159,plain,
    ! [SV7: $i,SV14: $i,SV16: $i,SV12: $i] :
      ( ( ( eiw_di @ SV12 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[153]) ).

thf(160,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[154]) ).

thf(161,plain,
    ! [SV14: $i,SV16: $i,SV12: $i,SV7: $i] :
      ( ( ( ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $true )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[155]) ).

thf(162,plain,
    ! [SV12: $i,SV14: $i,SV7: $i,SV16: $i] :
      ( ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[156]) ).

thf(163,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
          | ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[157]) ).

thf(164,plain,
    ! [SV15: $i,SV19: $i,SV13: $i,SV22: mworld,SV5: mworld] :
      ( ( ( mrel @ SV5 @ SV22 )
        = $false )
      | ( ( ! [SY332: $i] :
              ( ~ ( eiw_di @ SY332 @ SV22 )
              | ~ ( do @ SV13 @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SY332 @ SV22 )
              | ( in @ SV15 @ SV19 @ SY332 @ SV22 ) ) )
        = $true )
      | ( ( entry_box @ SV19 @ SV5 )
        = $false )
      | ( ( string @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV19 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[158]) ).

thf(165,plain,
    ! [SV12: $i,SV16: $i,SV14: $i,SV7: $i] :
      ( ( ( eiw_di @ SV7 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV12 @ sK1_SY144 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[159]) ).

thf(166,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[160]) ).

thf(167,plain,
    ! [SV14: $i,SV16: $i,SV12: $i,SV7: $i] :
      ( ( ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[161]) ).

thf(168,plain,
    ! [SV7: $i,SV12: $i,SV16: $i,SV14: $i] :
      ( ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[162]) ).

thf(169,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[163]) ).

thf(170,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
                | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[163]) ).

thf(171,plain,
    ! [SV5: mworld,SV15: $i,SV19: $i,SV13: $i,SV22: mworld,SV23: $i] :
      ( ( ( ~ ( eiw_di @ SV23 @ SV22 )
          | ~ ( do @ SV13 @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SV23 @ SV22 )
          | ( in @ SV15 @ SV19 @ SV23 @ SV22 ) )
        = $true )
      | ( ( mrel @ SV5 @ SV22 )
        = $false )
      | ( ( entry_box @ SV19 @ SV5 )
        = $false )
      | ( ( string @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV19 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[164]) ).

thf(172,plain,
    ! [SV7: $i,SV12: $i,SV16: $i,SV14: $i] :
      ( ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[166]) ).

thf(173,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[167]) ).

thf(174,plain,
    ! [SV14: $i,SV7: $i,SV16: $i,SV12: $i] :
      ( ( ( eiw_di @ SV12 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[168]) ).

thf(175,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[169]) ).

thf(176,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
              | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) ) )
        = $true )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[170]) ).

thf(177,plain,
    ! [SV5: mworld,SV15: $i,SV19: $i,SV13: $i,SV22: mworld,SV23: $i] :
      ( ( ( ~ ( eiw_di @ SV23 @ SV22 ) )
        = $true )
      | ( ( ~ ( do @ SV13 @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SV23 @ SV22 )
          | ( in @ SV15 @ SV19 @ SV23 @ SV22 ) )
        = $true )
      | ( ( mrel @ SV5 @ SV22 )
        = $false )
      | ( ( entry_box @ SV19 @ SV5 )
        = $false )
      | ( ( string @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV19 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[171]) ).

thf(178,plain,
    ! [SV7: $i,SV14: $i,SV16: $i,SV12: $i] :
      ( ( ( eiw_di @ SV12 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[172]) ).

thf(179,plain,
    ! [SV16: $i,SV12: $i,SV7: $i,SV14: $i] :
      ( ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[173]) ).

thf(180,plain,
    ! [SV12: $i,SV16: $i,SV14: $i,SV7: $i] :
      ( ( ( eiw_di @ SV7 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV12 @ sK1_SY144 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[174]) ).

thf(181,plain,
    ! [SV12: $i,SV14: $i,SV7: $i,SV16: $i] :
      ( ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[175]) ).

thf(182,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
          | ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[176]) ).

thf(183,plain,
    ! [SV5: mworld,SV15: $i,SV19: $i,SV13: $i,SV22: mworld,SV23: $i] :
      ( ( ( eiw_di @ SV23 @ SV22 )
        = $false )
      | ( ( ~ ( do @ SV13 @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SV23 @ SV22 )
          | ( in @ SV15 @ SV19 @ SV23 @ SV22 ) )
        = $true )
      | ( ( mrel @ SV5 @ SV22 )
        = $false )
      | ( ( entry_box @ SV19 @ SV5 )
        = $false )
      | ( ( string @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV19 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[177]) ).

thf(184,plain,
    ! [SV12: $i,SV16: $i,SV14: $i,SV7: $i] :
      ( ( ( eiw_di @ SV7 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV12 @ sK1_SY144 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[178]) ).

thf(185,plain,
    ! [SV7: $i,SV14: $i,SV16: $i,SV12: $i] :
      ( ( ( eiw_di @ SV12 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[179]) ).

thf(186,plain,
    ! [SV7: $i,SV12: $i,SV16: $i,SV14: $i] :
      ( ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[181]) ).

thf(187,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( ~ ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[182]) ).

thf(188,plain,
    ! [SV14: $i,SV16: $i,SV12: $i,SV7: $i] :
      ( ( ( ~ ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[182]) ).

thf(189,plain,
    ! [SV22: mworld,SV23: $i,SV5: mworld,SV15: $i,SV19: $i,SV13: $i] :
      ( ( ( ~ ( do @ SV13 @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SV23 @ SV22 ) )
        = $true )
      | ( ( in @ SV15 @ SV19 @ SV23 @ SV22 )
        = $true )
      | ( ( eiw_di @ SV23 @ SV22 )
        = $false )
      | ( ( mrel @ SV5 @ SV22 )
        = $false )
      | ( ( entry_box @ SV19 @ SV5 )
        = $false )
      | ( ( string @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV19 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[183]) ).

thf(190,plain,
    ! [SV16: $i,SV12: $i,SV14: $i,SV7: $i] :
      ( ( ( eiw_di @ SV7 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( mrel @ sK1_SY144 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV12 @ sK1_SY144 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[185]) ).

thf(191,plain,
    ! [SV14: $i,SV7: $i,SV16: $i,SV12: $i] :
      ( ( ( eiw_di @ SV12 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[186]) ).

thf(192,plain,
    ! [SV7: $i,SV12: $i,SV14: $i,SV16: $i] :
      ( ( ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[187]) ).

thf(193,plain,
    ! [SV14: $i,SV16: $i,SV12: $i,SV7: $i] :
      ( ( ( ~ ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) ) )
        = $true )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[188]) ).

thf(194,plain,
    ! [SV22: mworld,SV23: $i,SV5: mworld,SV15: $i,SV19: $i,SV13: $i] :
      ( ( ( do @ SV13 @ ( sK5_SY228 @ SV19 @ SV15 @ SV13 @ SV5 ) @ SV23 @ SV22 )
        = $false )
      | ( ( in @ SV15 @ SV19 @ SV23 @ SV22 )
        = $true )
      | ( ( eiw_di @ SV23 @ SV22 )
        = $false )
      | ( ( mrel @ SV5 @ SV22 )
        = $false )
      | ( ( entry_box @ SV19 @ SV5 )
        = $false )
      | ( ( string @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV19 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV15 @ SV5 )
        = $false )
      | ( ( eiw_di @ SV13 @ SV5 )
        = $false )
      | ( ( mrel @ mactual @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[189]) ).

thf(195,plain,
    ! [SV12: $i,SV16: $i,SV14: $i,SV7: $i] :
      ( ( ( eiw_di @ SV7 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV12 @ sK1_SY144 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[191]) ).

thf(196,plain,
    ! [SV12: $i,SV14: $i,SV7: $i,SV16: $i] :
      ( ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[192]) ).

thf(197,plain,
    ! [SV14: $i,SV16: $i,SV12: $i,SV7: $i] :
      ( ( ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( eiw_di @ SV16 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[193]) ).

thf(198,plain,
    ! [SV7: $i,SV12: $i,SV16: $i,SV14: $i] :
      ( ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[196]) ).

thf(199,plain,
    ! [SV12: $i,SV14: $i,SV7: $i,SV16: $i] :
      ( ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( ~ ( eiw_di @ SV14 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[197]) ).

thf(200,plain,
    ! [SV14: $i,SV7: $i,SV16: $i,SV12: $i] :
      ( ( ( eiw_di @ SV12 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[198]) ).

thf(201,plain,
    ! [SV16: $i,SV12: $i,SV7: $i,SV14: $i] :
      ( ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( ~ ( eiw_di @ SV12 @ sK1_SY144 ) )
        = $true )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[199]) ).

thf(202,plain,
    ! [SV12: $i,SV16: $i,SV14: $i,SV7: $i] :
      ( ( ( eiw_di @ SV7 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( do @ SV16 @ SV14 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $true )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV12 @ sK1_SY144 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[200]) ).

thf(203,plain,
    ! [SV14: $i,SV7: $i,SV16: $i,SV12: $i] :
      ( ( ( eiw_di @ SV12 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( ~ ( eiw_di @ SV7 @ sK1_SY144 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[201]) ).

thf(204,plain,
    ! [SV16: $i,SV12: $i,SV14: $i,SV7: $i] :
      ( ( ( eiw_di @ SV7 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV14 @ sK1_SY144 )
        = $false )
      | ( ( in @ SV7 @ SV12 @ ( sK3_SY297 @ SV16 @ SV14 @ SV12 @ SV7 ) @ ( sK2_SY295 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( number @ SV12 @ one @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( entry_box @ SV12 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( userid @ u @ SV7 @ ( sK4_SY294 @ SV16 @ SV14 @ SV12 @ SV7 ) )
        = $false )
      | ( ( eiw_di @ SV16 @ sK1_SY144 )
        = $false )
      | ( ( eiw_di @ SV12 @ sK1_SY144 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[203]) ).

thf(205,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[36,204,202,195,194,190,184,180,165,147,146,116,115,104,103,87,86,82,63,44,42]) ).

thf(206,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[205]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NLP266^23 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.33  % Computer : n026.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Thu Jun 30 20:06:49 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.38  
% 0.14/0.38   No.of.Axioms: 7
% 0.14/0.38  
% 0.14/0.38   Length.of.Defs: 1623
% 0.14/0.38  
% 0.14/0.38   Contains.Choice.Funs: false
% 0.20/0.41  (rf:0,axioms:7,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:9,loop_count:0,foatp_calls:0,translation:fof_full)................eprover: CPU time limit exceeded, terminating
% 25.44/25.63  ...eprover: CPU time limit exceeded, terminating
% 54.54/54.74  ........
% 76.01/76.28  (rf:0,axioms:7,ps:3,u:3,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:9,loop_count:0,foatp_calls:0,translation:fof_full)..................
% 77.74/77.97  
% 77.74/77.97  ********************************
% 77.74/77.97  *   All subproblems solved!    *
% 77.74/77.97  ********************************
% 77.74/77.97  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:8,ps:3,u:3,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:205,loop_count:0,foatp_calls:1,translation:fof_full)
% 77.74/78.00  
% 77.74/78.00  %**** Beginning of derivation protocol ****
% 77.74/78.00  % SZS output start CNFRefutation
% See solution above
% 77.74/78.00  
% 77.74/78.00  %**** End of derivation protocol ****
% 77.74/78.00  %**** no. of clauses in derivation: 206 ****
% 77.74/78.00  %**** clause counter: 205 ****
% 77.74/78.00  
% 77.74/78.00  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:8,ps:3,u:3,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:205,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------