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Z3---4.15.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : CSR050+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jun 21 05:01:32 AM UTC 2025

% Result   : Theorem 0.12s 0.39s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  101 (  29 unt;   0 typ;   0 def)
%            Number of atoms       :  463 (   0 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  629 ( 286   ~; 265   |;  16   &)
%                                         (  49 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of FOOLs       :   19 (  19 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;  11 con; 0-3 aty)
%            Number of variables   :  166 ( 152   !;   0   ?; 166   :)

% Comments : 
%------------------------------------------------------------------------------
tff(tptptypes_8_692_type,type,
    tptptypes_8_692: ( $i * $i ) > $o ).

tff(c_tptpcol_16_26939_type,type,
    c_tptpcol_16_26939: $i ).

tff(f_subcollectionofwithrelationtofn_type,type,
    f_subcollectionofwithrelationtofn: ( $i * $i * $i ) > $i ).

tff(c_cityofbostonma_type,type,
    c_cityofbostonma: $i ).

tff(c_objectfoundinlocation_type,type,
    c_objectfoundinlocation: $i ).

tff(c_ship_type,type,
    c_ship: $i ).

tff(tptptypes_7_691_type,type,
    tptptypes_7_691: ( $i * $i ) > $o ).

tff(mtvisible_type,type,
    mtvisible: $i > $o ).

tff(f_contentmtofcdafromeventfn_type,type,
    f_contentmtofcdafromeventfn: ( $i * $i ) > $i ).

tff(c_translation_32_type,type,
    c_translation_32: $i ).

tff(f_urlreferentfn_type,type,
    f_urlreferentfn: $i > $i ).

tff(f_urlfn_type,type,
    f_urlfn: $i > $i ).

tff(s_http_memberstripodcomindygalfordtriviahtm_type,type,
    s_http_memberstripodcomindygalfordtriviahtm: $i ).

tff(tptptypes_9_693_type,type,
    tptptypes_9_693: ( $i * $i ) > $o ).

tff(c_currentworlddatacollectormt_nonhomocentric_type,type,
    c_currentworlddatacollectormt_nonhomocentric: $i ).

tff(c_ldscdemonstrationspindleheadmt_type,type,
    c_ldscdemonstrationspindleheadmt: $i ).

tff(c_ldscgeneralcollectormt_type,type,
    c_ldscgeneralcollectormt: $i ).

tff(c_miptdatabase19681997_termsmt_type,type,
    c_miptdatabase19681997_termsmt: $i ).

tff(c_machinelearningspindleheadmt_type,type,
    c_machinelearningspindleheadmt: $i ).

tff(genlmt_type,type,
    genlmt: ( $i * $i ) > $o ).

tff(1,plain,
    ( ~ tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma))
  <=> ~ tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)) ),
    inference(rewrite,[status(thm)],[]) ).

tff(2,plain,
    ( ~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32))
       => tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)) )
  <=> ~ ( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32))
        | tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(3,axiom,
    ~ ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32))
     => tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query50) ).

tff(4,plain,
    ~ ( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32))
      | tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)) ),
    inference(modus_ponens,[status(thm)],[3,2]) ).

tff(5,plain,
    ~ tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)),
    inference(or_elim,[status(thm)],[4]) ).

tff(6,plain,
    ~ tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)),
    inference(modus_ponens,[status(thm)],[5,1]) ).

tff(7,plain,
    ^ [ARG1: $i,ARG2: $i] :
      refl(( ( ~ tptptypes_8_692(ARG1,ARG2)
          | tptptypes_7_691(ARG2,ARG1) )
      <=> ( ~ tptptypes_8_692(ARG1,ARG2)
          | tptptypes_7_691(ARG2,ARG1) ) )),
    inference(bind,[status(th)],[]) ).

tff(8,plain,
    ( ! [ARG1: $i,ARG2: $i] :
        ( ~ tptptypes_8_692(ARG1,ARG2)
        | tptptypes_7_691(ARG2,ARG1) )
  <=> ! [ARG1: $i,ARG2: $i] :
        ( ~ tptptypes_8_692(ARG1,ARG2)
        | tptptypes_7_691(ARG2,ARG1) ) ),
    inference(quant_intro,[status(thm)],[7]) ).

tff(9,plain,
    ( ! [ARG1: $i,ARG2: $i] :
        ( ~ tptptypes_8_692(ARG1,ARG2)
        | tptptypes_7_691(ARG2,ARG1) )
  <=> ! [ARG1: $i,ARG2: $i] :
        ( ~ tptptypes_8_692(ARG1,ARG2)
        | tptptypes_7_691(ARG2,ARG1) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(10,plain,
    ^ [ARG1: $i,ARG2: $i] :
      rewrite(( ( tptptypes_8_692(ARG1,ARG2)
         => tptptypes_7_691(ARG2,ARG1) )
      <=> ( ~ tptptypes_8_692(ARG1,ARG2)
          | tptptypes_7_691(ARG2,ARG1) ) )),
    inference(bind,[status(th)],[]) ).

tff(11,plain,
    ( ! [ARG1: $i,ARG2: $i] :
        ( tptptypes_8_692(ARG1,ARG2)
       => tptptypes_7_691(ARG2,ARG1) )
  <=> ! [ARG1: $i,ARG2: $i] :
        ( ~ tptptypes_8_692(ARG1,ARG2)
        | tptptypes_7_691(ARG2,ARG1) ) ),
    inference(quant_intro,[status(thm)],[10]) ).

tff(12,axiom,
    ! [ARG1: $i,ARG2: $i] :
      ( tptptypes_8_692(ARG1,ARG2)
     => tptptypes_7_691(ARG2,ARG1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).

tff(13,plain,
    ! [ARG1: $i,ARG2: $i] :
      ( ~ tptptypes_8_692(ARG1,ARG2)
      | tptptypes_7_691(ARG2,ARG1) ),
    inference(modus_ponens,[status(thm)],[12,11]) ).

tff(14,plain,
    ! [ARG1: $i,ARG2: $i] :
      ( ~ tptptypes_8_692(ARG1,ARG2)
      | tptptypes_7_691(ARG2,ARG1) ),
    inference(modus_ponens,[status(thm)],[13,9]) ).

tff(15,plain,
    ! [ARG1: $i,ARG2: $i] :
      ( ~ tptptypes_8_692(ARG1,ARG2)
      | tptptypes_7_691(ARG2,ARG1) ),
    inference(skolemize,[status(sab)],[14]) ).

tff(16,plain,
    ! [ARG1: $i,ARG2: $i] :
      ( ~ tptptypes_8_692(ARG1,ARG2)
      | tptptypes_7_691(ARG2,ARG1) ),
    inference(modus_ponens,[status(thm)],[15,8]) ).

tff(17,plain,
    ( ( ~ ! [ARG1: $i,ARG2: $i] :
            ( ~ tptptypes_8_692(ARG1,ARG2)
            | tptptypes_7_691(ARG2,ARG1) )
      | ~ tptptypes_8_692(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939)
      | tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)) )
  <=> ( ~ ! [ARG1: $i,ARG2: $i] :
            ( ~ tptptypes_8_692(ARG1,ARG2)
            | tptptypes_7_691(ARG2,ARG1) )
      | ~ tptptypes_8_692(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939)
      | tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(18,plain,
    ( ~ ! [ARG1: $i,ARG2: $i] :
          ( ~ tptptypes_8_692(ARG1,ARG2)
          | tptptypes_7_691(ARG2,ARG1) )
    | ~ tptptypes_8_692(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939)
    | tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(19,plain,
    ( ~ ! [ARG1: $i,ARG2: $i] :
          ( ~ tptptypes_8_692(ARG1,ARG2)
          | tptptypes_7_691(ARG2,ARG1) )
    | ~ tptptypes_8_692(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939)
    | tptptypes_7_691(c_tptpcol_16_26939,f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma)) ),
    inference(modus_ponens,[status(thm)],[18,17]) ).

tff(20,plain,
    ~ tptptypes_8_692(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939),
    inference(unit_resolution,[status(thm)],[19,16,6]) ).

tff(21,plain,
    ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32))
  <=> mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32)) ),
    inference(rewrite,[status(thm)],[]) ).

tff(22,plain,
    mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32)),
    inference(or_elim,[status(thm)],[4]) ).

tff(23,plain,
    mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32)),
    inference(modus_ponens,[status(thm)],[22,21]) ).

tff(24,plain,
    ^ [SPECMT: $i,GENLMT: $i] :
      refl(( ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) )
      <=> ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) ) )),
    inference(bind,[status(th)],[]) ).

tff(25,plain,
    ( ! [SPECMT: $i,GENLMT: $i] :
        ( mtvisible(GENLMT)
        | ~ genlmt(SPECMT,GENLMT)
        | ~ mtvisible(SPECMT) )
  <=> ! [SPECMT: $i,GENLMT: $i] :
        ( mtvisible(GENLMT)
        | ~ genlmt(SPECMT,GENLMT)
        | ~ mtvisible(SPECMT) ) ),
    inference(quant_intro,[status(thm)],[24]) ).

tff(26,plain,
    ^ [SPECMT: $i,GENLMT: $i] :
      trans(monotonicity(trans(monotonicity(rewrite(( ( mtvisible(SPECMT)
                  & genlmt(SPECMT,GENLMT) )
              <=> ~ ( ~ mtvisible(SPECMT)
                    | ~ genlmt(SPECMT,GENLMT) ) )),
              ( ~ ( mtvisible(SPECMT)
                  & genlmt(SPECMT,GENLMT) )
            <=> ~ ~ ( ~ mtvisible(SPECMT)
                    | ~ genlmt(SPECMT,GENLMT) ) )),
            rewrite(( ~ ~ ( ~ mtvisible(SPECMT)
                    | ~ genlmt(SPECMT,GENLMT) )
            <=> ( ~ mtvisible(SPECMT)
                | ~ genlmt(SPECMT,GENLMT) ) )),
            ( ~ ( mtvisible(SPECMT)
                & genlmt(SPECMT,GENLMT) )
          <=> ( ~ mtvisible(SPECMT)
              | ~ genlmt(SPECMT,GENLMT) ) )),
          ( ( mtvisible(GENLMT)
            | ~ ( mtvisible(SPECMT)
                & genlmt(SPECMT,GENLMT) ) )
        <=> ( mtvisible(GENLMT)
            | ~ mtvisible(SPECMT)
            | ~ genlmt(SPECMT,GENLMT) ) )),
        rewrite(( ( mtvisible(GENLMT)
            | ~ mtvisible(SPECMT)
            | ~ genlmt(SPECMT,GENLMT) )
        <=> ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) ) )),
        ( ( mtvisible(GENLMT)
          | ~ ( mtvisible(SPECMT)
              & genlmt(SPECMT,GENLMT) ) )
      <=> ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) ) )),
    inference(bind,[status(th)],[]) ).

tff(27,plain,
    ( ! [SPECMT: $i,GENLMT: $i] :
        ( mtvisible(GENLMT)
        | ~ ( mtvisible(SPECMT)
            & genlmt(SPECMT,GENLMT) ) )
  <=> ! [SPECMT: $i,GENLMT: $i] :
        ( mtvisible(GENLMT)
        | ~ genlmt(SPECMT,GENLMT)
        | ~ mtvisible(SPECMT) ) ),
    inference(quant_intro,[status(thm)],[26]) ).

tff(28,plain,
    ( ! [SPECMT: $i,GENLMT: $i] :
        ( mtvisible(GENLMT)
        | ~ ( mtvisible(SPECMT)
            & genlmt(SPECMT,GENLMT) ) )
  <=> ! [SPECMT: $i,GENLMT: $i] :
        ( mtvisible(GENLMT)
        | ~ ( mtvisible(SPECMT)
            & genlmt(SPECMT,GENLMT) ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(29,plain,
    ^ [SPECMT: $i,GENLMT: $i] :
      rewrite(( ( ( mtvisible(SPECMT)
            & genlmt(SPECMT,GENLMT) )
         => mtvisible(GENLMT) )
      <=> ( mtvisible(GENLMT)
          | ~ ( mtvisible(SPECMT)
              & genlmt(SPECMT,GENLMT) ) ) )),
    inference(bind,[status(th)],[]) ).

tff(30,plain,
    ( ! [SPECMT: $i,GENLMT: $i] :
        ( ( mtvisible(SPECMT)
          & genlmt(SPECMT,GENLMT) )
       => mtvisible(GENLMT) )
  <=> ! [SPECMT: $i,GENLMT: $i] :
        ( mtvisible(GENLMT)
        | ~ ( mtvisible(SPECMT)
            & genlmt(SPECMT,GENLMT) ) ) ),
    inference(quant_intro,[status(thm)],[29]) ).

tff(31,axiom,
    ! [SPECMT: $i,GENLMT: $i] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just78) ).

tff(32,plain,
    ! [SPECMT: $i,GENLMT: $i] :
      ( mtvisible(GENLMT)
      | ~ ( mtvisible(SPECMT)
          & genlmt(SPECMT,GENLMT) ) ),
    inference(modus_ponens,[status(thm)],[31,30]) ).

tff(33,plain,
    ! [SPECMT: $i,GENLMT: $i] :
      ( mtvisible(GENLMT)
      | ~ ( mtvisible(SPECMT)
          & genlmt(SPECMT,GENLMT) ) ),
    inference(modus_ponens,[status(thm)],[32,28]) ).

tff(34,plain,
    ! [SPECMT: $i,GENLMT: $i] :
      ( mtvisible(GENLMT)
      | ~ ( mtvisible(SPECMT)
          & genlmt(SPECMT,GENLMT) ) ),
    inference(skolemize,[status(sab)],[33]) ).

tff(35,plain,
    ! [SPECMT: $i,GENLMT: $i] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(modus_ponens,[status(thm)],[34,27]) ).

tff(36,plain,
    ! [SPECMT: $i,GENLMT: $i] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(modus_ponens,[status(thm)],[35,25]) ).

tff(37,plain,
    ( genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt)
  <=> genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt) ),
    inference(rewrite,[status(thm)],[]) ).

tff(38,axiom,
    genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just4) ).

tff(39,plain,
    genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt),
    inference(modus_ponens,[status(thm)],[38,37]) ).

tff(40,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32))
      | ~ genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt)
      | mtvisible(c_machinelearningspindleheadmt) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32))
      | ~ genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt)
      | mtvisible(c_machinelearningspindleheadmt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(41,plain,
    ( ( mtvisible(c_machinelearningspindleheadmt)
      | ~ genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt)
      | ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32)) )
  <=> ( ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32))
      | ~ genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt)
      | mtvisible(c_machinelearningspindleheadmt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(42,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_machinelearningspindleheadmt)
      | ~ genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt)
      | ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32)) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32))
      | ~ genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt)
      | mtvisible(c_machinelearningspindleheadmt) ) ),
    inference(monotonicity,[status(thm)],[41]) ).

tff(43,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_machinelearningspindleheadmt)
      | ~ genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt)
      | ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32)) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32))
      | ~ genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt)
      | mtvisible(c_machinelearningspindleheadmt) ) ),
    inference(transitivity,[status(thm)],[42,40]) ).

tff(44,plain,
    ( ~ ! [SPECMT: $i,GENLMT: $i] :
          ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) )
    | mtvisible(c_machinelearningspindleheadmt)
    | ~ genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt)
    | ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32)) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(45,plain,
    ( ~ ! [SPECMT: $i,GENLMT: $i] :
          ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) )
    | ~ mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32))
    | ~ genlmt(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_memberstripodcomindygalfordtriviahtm)),c_translation_32),c_machinelearningspindleheadmt)
    | mtvisible(c_machinelearningspindleheadmt) ),
    inference(modus_ponens,[status(thm)],[44,43]) ).

tff(46,plain,
    mtvisible(c_machinelearningspindleheadmt),
    inference(unit_resolution,[status(thm)],[45,39,36,23]) ).

tff(47,plain,
    ( genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt)
  <=> genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt) ),
    inference(rewrite,[status(thm)],[]) ).

tff(48,axiom,
    genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).

tff(49,plain,
    genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt),
    inference(modus_ponens,[status(thm)],[48,47]) ).

tff(50,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | ~ genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt)
      | mtvisible(c_miptdatabase19681997_termsmt)
      | ~ mtvisible(c_machinelearningspindleheadmt) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | ~ genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt)
      | mtvisible(c_miptdatabase19681997_termsmt)
      | ~ mtvisible(c_machinelearningspindleheadmt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(51,plain,
    ( ( mtvisible(c_miptdatabase19681997_termsmt)
      | ~ genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt)
      | ~ mtvisible(c_machinelearningspindleheadmt) )
  <=> ( ~ genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt)
      | mtvisible(c_miptdatabase19681997_termsmt)
      | ~ mtvisible(c_machinelearningspindleheadmt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(52,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_miptdatabase19681997_termsmt)
      | ~ genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt)
      | ~ mtvisible(c_machinelearningspindleheadmt) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | ~ genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt)
      | mtvisible(c_miptdatabase19681997_termsmt)
      | ~ mtvisible(c_machinelearningspindleheadmt) ) ),
    inference(monotonicity,[status(thm)],[51]) ).

tff(53,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_miptdatabase19681997_termsmt)
      | ~ genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt)
      | ~ mtvisible(c_machinelearningspindleheadmt) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | ~ genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt)
      | mtvisible(c_miptdatabase19681997_termsmt)
      | ~ mtvisible(c_machinelearningspindleheadmt) ) ),
    inference(transitivity,[status(thm)],[52,50]) ).

tff(54,plain,
    ( ~ ! [SPECMT: $i,GENLMT: $i] :
          ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) )
    | mtvisible(c_miptdatabase19681997_termsmt)
    | ~ genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt)
    | ~ mtvisible(c_machinelearningspindleheadmt) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(55,plain,
    ( ~ ! [SPECMT: $i,GENLMT: $i] :
          ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) )
    | ~ genlmt(c_machinelearningspindleheadmt,c_miptdatabase19681997_termsmt)
    | mtvisible(c_miptdatabase19681997_termsmt)
    | ~ mtvisible(c_machinelearningspindleheadmt) ),
    inference(modus_ponens,[status(thm)],[54,53]) ).

tff(56,plain,
    mtvisible(c_miptdatabase19681997_termsmt),
    inference(unit_resolution,[status(thm)],[55,49,36,46]) ).

tff(57,plain,
    ( genlmt(c_miptdatabase19681997_termsmt,c_ldscgeneralcollectormt)
  <=> genlmt(c_miptdatabase19681997_termsmt,c_ldscgeneralcollectormt) ),
    inference(rewrite,[status(thm)],[]) ).

tff(58,axiom,
    genlmt(c_miptdatabase19681997_termsmt,c_ldscgeneralcollectormt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).

tff(59,plain,
    genlmt(c_miptdatabase19681997_termsmt,c_ldscgeneralcollectormt),
    inference(modus_ponens,[status(thm)],[58,57]) ).

tff(60,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | ~ genlmt(c_miptdatabase19681997_termsmt,c_ldscgeneralcollectormt)
      | mtvisible(c_ldscgeneralcollectormt)
      | ~ mtvisible(c_miptdatabase19681997_termsmt) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | ~ genlmt(c_miptdatabase19681997_termsmt,c_ldscgeneralcollectormt)
      | mtvisible(c_ldscgeneralcollectormt)
      | ~ mtvisible(c_miptdatabase19681997_termsmt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(61,plain,
    ( ( mtvisible(c_ldscgeneralcollectormt)
      | ~ genlmt(c_miptdatabase19681997_termsmt,c_ldscgeneralcollectormt)
      | ~ mtvisible(c_miptdatabase19681997_termsmt) )
  <=> ( ~ genlmt(c_miptdatabase19681997_termsmt,c_ldscgeneralcollectormt)
      | mtvisible(c_ldscgeneralcollectormt)
      | ~ mtvisible(c_miptdatabase19681997_termsmt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(62,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_ldscgeneralcollectormt)
      | ~ genlmt(c_miptdatabase19681997_termsmt,c_ldscgeneralcollectormt)
      | ~ mtvisible(c_miptdatabase19681997_termsmt) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | ~ genlmt(c_miptdatabase19681997_termsmt,c_ldscgeneralcollectormt)
      | mtvisible(c_ldscgeneralcollectormt)
      | ~ mtvisible(c_miptdatabase19681997_termsmt) ) ),
    inference(monotonicity,[status(thm)],[61]) ).

tff(63,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_ldscgeneralcollectormt)
      | ~ genlmt(c_miptdatabase19681997_termsmt,c_ldscgeneralcollectormt)
      | ~ mtvisible(c_miptdatabase19681997_termsmt) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | ~ genlmt(c_miptdatabase19681997_termsmt,c_ldscgeneralcollectormt)
      | mtvisible(c_ldscgeneralcollectormt)
      | ~ mtvisible(c_miptdatabase19681997_termsmt) ) ),
    inference(transitivity,[status(thm)],[62,60]) ).

tff(64,plain,
    ( ~ ! [SPECMT: $i,GENLMT: $i] :
          ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) )
    | mtvisible(c_ldscgeneralcollectormt)
    | ~ genlmt(c_miptdatabase19681997_termsmt,c_ldscgeneralcollectormt)
    | ~ mtvisible(c_miptdatabase19681997_termsmt) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(65,plain,
    ( ~ ! [SPECMT: $i,GENLMT: $i] :
          ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) )
    | ~ genlmt(c_miptdatabase19681997_termsmt,c_ldscgeneralcollectormt)
    | mtvisible(c_ldscgeneralcollectormt)
    | ~ mtvisible(c_miptdatabase19681997_termsmt) ),
    inference(modus_ponens,[status(thm)],[64,63]) ).

tff(66,plain,
    mtvisible(c_ldscgeneralcollectormt),
    inference(unit_resolution,[status(thm)],[65,59,36,56]) ).

tff(67,plain,
    ( genlmt(c_ldscgeneralcollectormt,c_ldscdemonstrationspindleheadmt)
  <=> genlmt(c_ldscgeneralcollectormt,c_ldscdemonstrationspindleheadmt) ),
    inference(rewrite,[status(thm)],[]) ).

tff(68,axiom,
    genlmt(c_ldscgeneralcollectormt,c_ldscdemonstrationspindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).

tff(69,plain,
    genlmt(c_ldscgeneralcollectormt,c_ldscdemonstrationspindleheadmt),
    inference(modus_ponens,[status(thm)],[68,67]) ).

tff(70,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_ldscdemonstrationspindleheadmt)
      | ~ genlmt(c_ldscgeneralcollectormt,c_ldscdemonstrationspindleheadmt)
      | ~ mtvisible(c_ldscgeneralcollectormt) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_ldscdemonstrationspindleheadmt)
      | ~ genlmt(c_ldscgeneralcollectormt,c_ldscdemonstrationspindleheadmt)
      | ~ mtvisible(c_ldscgeneralcollectormt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(71,plain,
    ( ~ ! [SPECMT: $i,GENLMT: $i] :
          ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) )
    | mtvisible(c_ldscdemonstrationspindleheadmt)
    | ~ genlmt(c_ldscgeneralcollectormt,c_ldscdemonstrationspindleheadmt)
    | ~ mtvisible(c_ldscgeneralcollectormt) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(72,plain,
    ( ~ ! [SPECMT: $i,GENLMT: $i] :
          ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) )
    | mtvisible(c_ldscdemonstrationspindleheadmt)
    | ~ genlmt(c_ldscgeneralcollectormt,c_ldscdemonstrationspindleheadmt)
    | ~ mtvisible(c_ldscgeneralcollectormt) ),
    inference(modus_ponens,[status(thm)],[71,70]) ).

tff(73,plain,
    mtvisible(c_ldscdemonstrationspindleheadmt),
    inference(unit_resolution,[status(thm)],[72,69,36,66]) ).

tff(74,plain,
    ( genlmt(c_ldscdemonstrationspindleheadmt,c_currentworlddatacollectormt_nonhomocentric)
  <=> genlmt(c_ldscdemonstrationspindleheadmt,c_currentworlddatacollectormt_nonhomocentric) ),
    inference(rewrite,[status(thm)],[]) ).

tff(75,axiom,
    genlmt(c_ldscdemonstrationspindleheadmt,c_currentworlddatacollectormt_nonhomocentric),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).

tff(76,plain,
    genlmt(c_ldscdemonstrationspindleheadmt,c_currentworlddatacollectormt_nonhomocentric),
    inference(modus_ponens,[status(thm)],[75,74]) ).

tff(77,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_currentworlddatacollectormt_nonhomocentric)
      | ~ genlmt(c_ldscdemonstrationspindleheadmt,c_currentworlddatacollectormt_nonhomocentric)
      | ~ mtvisible(c_ldscdemonstrationspindleheadmt) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_currentworlddatacollectormt_nonhomocentric)
      | ~ genlmt(c_ldscdemonstrationspindleheadmt,c_currentworlddatacollectormt_nonhomocentric)
      | ~ mtvisible(c_ldscdemonstrationspindleheadmt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(78,plain,
    ( ~ ! [SPECMT: $i,GENLMT: $i] :
          ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) )
    | mtvisible(c_currentworlddatacollectormt_nonhomocentric)
    | ~ genlmt(c_ldscdemonstrationspindleheadmt,c_currentworlddatacollectormt_nonhomocentric)
    | ~ mtvisible(c_ldscdemonstrationspindleheadmt) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(79,plain,
    ( ~ ! [SPECMT: $i,GENLMT: $i] :
          ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) )
    | mtvisible(c_currentworlddatacollectormt_nonhomocentric)
    | ~ genlmt(c_ldscdemonstrationspindleheadmt,c_currentworlddatacollectormt_nonhomocentric)
    | ~ mtvisible(c_ldscdemonstrationspindleheadmt) ),
    inference(modus_ponens,[status(thm)],[78,77]) ).

tff(80,plain,
    ( mtvisible(c_currentworlddatacollectormt_nonhomocentric)
    | ~ mtvisible(c_ldscdemonstrationspindleheadmt) ),
    inference(unit_resolution,[status(thm)],[79,76,36]) ).

tff(81,plain,
    mtvisible(c_currentworlddatacollectormt_nonhomocentric),
    inference(unit_resolution,[status(thm)],[80,73]) ).

tff(82,plain,
    ( ( ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric)
      | tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939) )
  <=> ( ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric)
      | tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(83,plain,
    ( ( mtvisible(c_currentworlddatacollectormt_nonhomocentric)
     => tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939) )
  <=> ( ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric)
      | tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(84,axiom,
    ( mtvisible(c_currentworlddatacollectormt_nonhomocentric)
   => tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just15) ).

tff(85,plain,
    ( ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric)
    | tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939) ),
    inference(modus_ponens,[status(thm)],[84,83]) ).

tff(86,plain,
    ( ~ mtvisible(c_currentworlddatacollectormt_nonhomocentric)
    | tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939) ),
    inference(modus_ponens,[status(thm)],[85,82]) ).

tff(87,plain,
    tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939),
    inference(unit_resolution,[status(thm)],[86,81]) ).

tff(88,plain,
    ^ [ARG1: $i,ARG2: $i] :
      refl(( ( ~ tptptypes_9_693(ARG1,ARG2)
          | tptptypes_8_692(ARG1,ARG2) )
      <=> ( ~ tptptypes_9_693(ARG1,ARG2)
          | tptptypes_8_692(ARG1,ARG2) ) )),
    inference(bind,[status(th)],[]) ).

tff(89,plain,
    ( ! [ARG1: $i,ARG2: $i] :
        ( ~ tptptypes_9_693(ARG1,ARG2)
        | tptptypes_8_692(ARG1,ARG2) )
  <=> ! [ARG1: $i,ARG2: $i] :
        ( ~ tptptypes_9_693(ARG1,ARG2)
        | tptptypes_8_692(ARG1,ARG2) ) ),
    inference(quant_intro,[status(thm)],[88]) ).

tff(90,plain,
    ( ! [ARG1: $i,ARG2: $i] :
        ( ~ tptptypes_9_693(ARG1,ARG2)
        | tptptypes_8_692(ARG1,ARG2) )
  <=> ! [ARG1: $i,ARG2: $i] :
        ( ~ tptptypes_9_693(ARG1,ARG2)
        | tptptypes_8_692(ARG1,ARG2) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(91,plain,
    ^ [ARG1: $i,ARG2: $i] :
      rewrite(( ( tptptypes_9_693(ARG1,ARG2)
         => tptptypes_8_692(ARG1,ARG2) )
      <=> ( ~ tptptypes_9_693(ARG1,ARG2)
          | tptptypes_8_692(ARG1,ARG2) ) )),
    inference(bind,[status(th)],[]) ).

tff(92,plain,
    ( ! [ARG1: $i,ARG2: $i] :
        ( tptptypes_9_693(ARG1,ARG2)
       => tptptypes_8_692(ARG1,ARG2) )
  <=> ! [ARG1: $i,ARG2: $i] :
        ( ~ tptptypes_9_693(ARG1,ARG2)
        | tptptypes_8_692(ARG1,ARG2) ) ),
    inference(quant_intro,[status(thm)],[91]) ).

tff(93,axiom,
    ! [ARG1: $i,ARG2: $i] :
      ( tptptypes_9_693(ARG1,ARG2)
     => tptptypes_8_692(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).

tff(94,plain,
    ! [ARG1: $i,ARG2: $i] :
      ( ~ tptptypes_9_693(ARG1,ARG2)
      | tptptypes_8_692(ARG1,ARG2) ),
    inference(modus_ponens,[status(thm)],[93,92]) ).

tff(95,plain,
    ! [ARG1: $i,ARG2: $i] :
      ( ~ tptptypes_9_693(ARG1,ARG2)
      | tptptypes_8_692(ARG1,ARG2) ),
    inference(modus_ponens,[status(thm)],[94,90]) ).

tff(96,plain,
    ! [ARG1: $i,ARG2: $i] :
      ( ~ tptptypes_9_693(ARG1,ARG2)
      | tptptypes_8_692(ARG1,ARG2) ),
    inference(skolemize,[status(sab)],[95]) ).

tff(97,plain,
    ! [ARG1: $i,ARG2: $i] :
      ( ~ tptptypes_9_693(ARG1,ARG2)
      | tptptypes_8_692(ARG1,ARG2) ),
    inference(modus_ponens,[status(thm)],[96,89]) ).

tff(98,plain,
    ( ( ~ ! [ARG1: $i,ARG2: $i] :
            ( ~ tptptypes_9_693(ARG1,ARG2)
            | tptptypes_8_692(ARG1,ARG2) )
      | ~ tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939)
      | tptptypes_8_692(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939) )
  <=> ( ~ ! [ARG1: $i,ARG2: $i] :
            ( ~ tptptypes_9_693(ARG1,ARG2)
            | tptptypes_8_692(ARG1,ARG2) )
      | ~ tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939)
      | tptptypes_8_692(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(99,plain,
    ( ~ ! [ARG1: $i,ARG2: $i] :
          ( ~ tptptypes_9_693(ARG1,ARG2)
          | tptptypes_8_692(ARG1,ARG2) )
    | ~ tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939)
    | tptptypes_8_692(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(100,plain,
    ( ~ ! [ARG1: $i,ARG2: $i] :
          ( ~ tptptypes_9_693(ARG1,ARG2)
          | tptptypes_8_692(ARG1,ARG2) )
    | ~ tptptypes_9_693(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939)
    | tptptypes_8_692(f_subcollectionofwithrelationtofn(c_ship,c_objectfoundinlocation,c_cityofbostonma),c_tptpcol_16_26939) ),
    inference(modus_ponens,[status(thm)],[99,98]) ).

tff(101,plain,
    $false,
    inference(unit_resolution,[status(thm)],[100,97,87,20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : CSR050+1 : TPTP v9.0.0. Released v3.4.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Thu Jun 19 12:41:02 EDT 2025
% 0.12/0.34  % CPUTime    : 
% 0.12/0.39  % SZS status Theorem
% 0.12/0.39  % SZS output start Proof
% See solution above
% 0.21/0.41  % E exiting
%------------------------------------------------------------------------------