↑ Up

Z3---4.15.1.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : CSR057+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n015.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 05:01:36 AM UTC 2025

% Result   : Theorem 0.23s 0.42s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   62
% Syntax   : Number of formulae    :  142 (  31 unt;   0 typ;   0 def)
%            Number of atoms       :  624 (   0 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :  795 ( 356   ~; 311   |;  32   &)
%                                         (  71 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   43 (  43 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :  224 ( 191   !;   9   ?; 224   :)

% Comments : 
%------------------------------------------------------------------------------
tff(inregion_type,type,
    inregion: ( $i * $i ) > $o ).

tff(c_georegion_l4_x75_y75_type,type,
    c_georegion_l4_x75_y75: $i ).

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

tff(c_tptpgeo_member8_mt_type,type,
    c_tptpgeo_member8_mt: $i ).

tff(spatialthing_nonsituational_type,type,
    spatialthing_nonsituational: $i > $o ).

tff(enduringthing_localized_type,type,
    enduringthing_localized: $i > $o ).

tff(partiallytangible_type,type,
    partiallytangible: $i > $o ).

tff(geographicalregion_type,type,
    geographicalregion: $i > $o ).

tff(geolevel_4_type,type,
    geolevel_4: $i > $o ).

tff(c_worldgeographymt_type,type,
    c_worldgeographymt: $i ).

tff(c_inregion_type,type,
    c_inregion: $i ).

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

tff(c_tptpgeo_spindleheadmt_type,type,
    c_tptpgeo_spindleheadmt: $i ).

tff(1,plain,
    ^ [OBJ: $i] :
      refl(( ( geographicalregion(OBJ)
          | ~ geolevel_4(OBJ) )
      <=> ( geographicalregion(OBJ)
          | ~ geolevel_4(OBJ) ) )),
    inference(bind,[status(th)],[]) ).

tff(2,plain,
    ( ! [OBJ: $i] :
        ( geographicalregion(OBJ)
        | ~ geolevel_4(OBJ) )
  <=> ! [OBJ: $i] :
        ( geographicalregion(OBJ)
        | ~ geolevel_4(OBJ) ) ),
    inference(quant_intro,[status(thm)],[1]) ).

tff(3,plain,
    ( ! [OBJ: $i] :
        ( geographicalregion(OBJ)
        | ~ geolevel_4(OBJ) )
  <=> ! [OBJ: $i] :
        ( geographicalregion(OBJ)
        | ~ geolevel_4(OBJ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(4,plain,
    ^ [OBJ: $i] :
      rewrite(( ( geolevel_4(OBJ)
         => geographicalregion(OBJ) )
      <=> ( geographicalregion(OBJ)
          | ~ geolevel_4(OBJ) ) )),
    inference(bind,[status(th)],[]) ).

tff(5,plain,
    ( ! [OBJ: $i] :
        ( geolevel_4(OBJ)
       => geographicalregion(OBJ) )
  <=> ! [OBJ: $i] :
        ( geographicalregion(OBJ)
        | ~ geolevel_4(OBJ) ) ),
    inference(quant_intro,[status(thm)],[4]) ).

tff(6,axiom,
    ! [OBJ: $i] :
      ( geolevel_4(OBJ)
     => geographicalregion(OBJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).

tff(7,plain,
    ! [OBJ: $i] :
      ( geographicalregion(OBJ)
      | ~ geolevel_4(OBJ) ),
    inference(modus_ponens,[status(thm)],[6,5]) ).

tff(8,plain,
    ! [OBJ: $i] :
      ( geographicalregion(OBJ)
      | ~ geolevel_4(OBJ) ),
    inference(modus_ponens,[status(thm)],[7,3]) ).

tff(9,plain,
    ! [OBJ: $i] :
      ( geographicalregion(OBJ)
      | ~ geolevel_4(OBJ) ),
    inference(skolemize,[status(sab)],[8]) ).

tff(10,plain,
    ! [OBJ: $i] :
      ( geographicalregion(OBJ)
      | ~ geolevel_4(OBJ) ),
    inference(modus_ponens,[status(thm)],[9,2]) ).

tff(11,plain,
    ^ [X: $i] :
      refl(( ~ ( ~ mtvisible(c_tptpgeo_member8_mt)
            | inregion(X,c_georegion_l4_x75_y75) )
      <=> ~ ( ~ mtvisible(c_tptpgeo_member8_mt)
            | inregion(X,c_georegion_l4_x75_y75) ) )),
    inference(bind,[status(th)],[]) ).

tff(12,plain,
    ( ! [X: $i] :
        ~ ( ~ mtvisible(c_tptpgeo_member8_mt)
          | inregion(X,c_georegion_l4_x75_y75) )
  <=> ! [X: $i] :
        ~ ( ~ mtvisible(c_tptpgeo_member8_mt)
          | inregion(X,c_georegion_l4_x75_y75) ) ),
    inference(quant_intro,[status(thm)],[11]) ).

tff(13,plain,
    ( ~ ? [X: $i] :
          ( ~ mtvisible(c_tptpgeo_member8_mt)
          | inregion(X,c_georegion_l4_x75_y75) )
  <=> ~ ? [X: $i] :
          ( ~ mtvisible(c_tptpgeo_member8_mt)
          | inregion(X,c_georegion_l4_x75_y75) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(14,plain,
    ( ~ ? [X: $i] :
          ( mtvisible(c_tptpgeo_member8_mt)
         => inregion(X,c_georegion_l4_x75_y75) )
  <=> ~ ? [X: $i] :
          ( ~ mtvisible(c_tptpgeo_member8_mt)
          | inregion(X,c_georegion_l4_x75_y75) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(15,axiom,
    ~ ? [X: $i] :
        ( mtvisible(c_tptpgeo_member8_mt)
       => inregion(X,c_georegion_l4_x75_y75) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query57) ).

tff(16,plain,
    ~ ? [X: $i] :
        ( ~ mtvisible(c_tptpgeo_member8_mt)
        | inregion(X,c_georegion_l4_x75_y75) ),
    inference(modus_ponens,[status(thm)],[15,14]) ).

tff(17,plain,
    ~ ? [X: $i] :
        ( ~ mtvisible(c_tptpgeo_member8_mt)
        | inregion(X,c_georegion_l4_x75_y75) ),
    inference(modus_ponens,[status(thm)],[16,13]) ).

tff(18,plain,
    ~ ? [X: $i] :
        ( ~ mtvisible(c_tptpgeo_member8_mt)
        | inregion(X,c_georegion_l4_x75_y75) ),
    inference(modus_ponens,[status(thm)],[17,13]) ).

tff(19,plain,
    ~ ? [X: $i] :
        ( ~ mtvisible(c_tptpgeo_member8_mt)
        | inregion(X,c_georegion_l4_x75_y75) ),
    inference(modus_ponens,[status(thm)],[18,13]) ).

tff(20,plain,
    ^ [X: $i] :
      refl($oeq(~ ( ~ mtvisible(c_tptpgeo_member8_mt)
            | inregion(X,c_georegion_l4_x75_y75) ),
          ~ ( ~ mtvisible(c_tptpgeo_member8_mt)
            | inregion(X,c_georegion_l4_x75_y75) ))),
    inference(bind,[status(th)],[]) ).

tff(21,plain,
    ! [X: $i] :
      ~ ( ~ mtvisible(c_tptpgeo_member8_mt)
        | inregion(X,c_georegion_l4_x75_y75) ),
    inference(nnf-neg,[status(sab)],[19,20]) ).

tff(22,plain,
    ! [X: $i] :
      ~ ( ~ mtvisible(c_tptpgeo_member8_mt)
        | inregion(X,c_georegion_l4_x75_y75) ),
    inference(modus_ponens,[status(thm)],[21,12]) ).

tff(23,plain,
    ( ~ ! [X: $i] :
          ~ ( ~ mtvisible(c_tptpgeo_member8_mt)
            | inregion(X,c_georegion_l4_x75_y75) )
    | ~ ( ~ mtvisible(c_tptpgeo_member8_mt)
        | inregion(c_inregion,c_georegion_l4_x75_y75) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(24,plain,
    ~ ( ~ mtvisible(c_tptpgeo_member8_mt)
      | inregion(c_inregion,c_georegion_l4_x75_y75) ),
    inference(unit_resolution,[status(thm)],[23,22]) ).

tff(25,plain,
    ( ~ mtvisible(c_tptpgeo_member8_mt)
    | inregion(c_inregion,c_georegion_l4_x75_y75)
    | mtvisible(c_tptpgeo_member8_mt) ),
    inference(tautology,[status(thm)],[]) ).

tff(26,plain,
    mtvisible(c_tptpgeo_member8_mt),
    inference(unit_resolution,[status(thm)],[25,24]) ).

tff(27,plain,
    ( ! [X: $i,Y: $i,Z: $i] :
        ( genlmt(X,Z)
        | ~ genlmt(Y,Z)
        | ~ genlmt(X,Y) )
  <=> ! [X: $i,Y: $i,Z: $i] :
        ( genlmt(X,Z)
        | ~ genlmt(Y,Z)
        | ~ genlmt(X,Y) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(28,plain,
    ^ [X: $i,Y: $i,Z: $i] :
      trans(monotonicity(trans(monotonicity(rewrite(( ( genlmt(X,Y)
                  & genlmt(Y,Z) )
              <=> ~ ( ~ genlmt(Y,Z)
                    | ~ genlmt(X,Y) ) )),
              ( ~ ( genlmt(X,Y)
                  & genlmt(Y,Z) )
            <=> ~ ~ ( ~ genlmt(Y,Z)
                    | ~ genlmt(X,Y) ) )),
            rewrite(( ~ ~ ( ~ genlmt(Y,Z)
                    | ~ genlmt(X,Y) )
            <=> ( ~ genlmt(Y,Z)
                | ~ genlmt(X,Y) ) )),
            ( ~ ( genlmt(X,Y)
                & genlmt(Y,Z) )
          <=> ( ~ genlmt(Y,Z)
              | ~ genlmt(X,Y) ) )),
          ( ( ~ ( genlmt(X,Y)
                & genlmt(Y,Z) )
            | genlmt(X,Z) )
        <=> ( ~ genlmt(Y,Z)
            | ~ genlmt(X,Y)
            | genlmt(X,Z) ) )),
        rewrite(( ( ~ genlmt(Y,Z)
            | ~ genlmt(X,Y)
            | genlmt(X,Z) )
        <=> ( genlmt(X,Z)
            | ~ genlmt(Y,Z)
            | ~ genlmt(X,Y) ) )),
        ( ( ~ ( genlmt(X,Y)
              & genlmt(Y,Z) )
          | genlmt(X,Z) )
      <=> ( genlmt(X,Z)
          | ~ genlmt(Y,Z)
          | ~ genlmt(X,Y) ) )),
    inference(bind,[status(th)],[]) ).

tff(29,plain,
    ( ! [X: $i,Y: $i,Z: $i] :
        ( ~ ( genlmt(X,Y)
            & genlmt(Y,Z) )
        | genlmt(X,Z) )
  <=> ! [X: $i,Y: $i,Z: $i] :
        ( genlmt(X,Z)
        | ~ genlmt(Y,Z)
        | ~ genlmt(X,Y) ) ),
    inference(quant_intro,[status(thm)],[28]) ).

tff(30,plain,
    ( ! [X: $i,Y: $i,Z: $i] :
        ( ~ ( genlmt(X,Y)
            & genlmt(Y,Z) )
        | genlmt(X,Z) )
  <=> ! [X: $i,Y: $i,Z: $i] :
        ( ~ ( genlmt(X,Y)
            & genlmt(Y,Z) )
        | genlmt(X,Z) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(31,plain,
    ^ [X: $i,Y: $i,Z: $i] :
      rewrite(( ( ( genlmt(X,Y)
            & genlmt(Y,Z) )
         => genlmt(X,Z) )
      <=> ( ~ ( genlmt(X,Y)
              & genlmt(Y,Z) )
          | genlmt(X,Z) ) )),
    inference(bind,[status(th)],[]) ).

tff(32,plain,
    ( ! [X: $i,Y: $i,Z: $i] :
        ( ( genlmt(X,Y)
          & genlmt(Y,Z) )
       => genlmt(X,Z) )
  <=> ! [X: $i,Y: $i,Z: $i] :
        ( ~ ( genlmt(X,Y)
            & genlmt(Y,Z) )
        | genlmt(X,Z) ) ),
    inference(quant_intro,[status(thm)],[31]) ).

tff(33,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( genlmt(X,Y)
        & genlmt(Y,Z) )
     => genlmt(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just98) ).

tff(34,plain,
    ! [X: $i,Y: $i,Z: $i] :
      ( ~ ( genlmt(X,Y)
          & genlmt(Y,Z) )
      | genlmt(X,Z) ),
    inference(modus_ponens,[status(thm)],[33,32]) ).

tff(35,plain,
    ! [X: $i,Y: $i,Z: $i] :
      ( ~ ( genlmt(X,Y)
          & genlmt(Y,Z) )
      | genlmt(X,Z) ),
    inference(modus_ponens,[status(thm)],[34,30]) ).

tff(36,plain,
    ! [X: $i,Y: $i,Z: $i] :
      ( ~ ( genlmt(X,Y)
          & genlmt(Y,Z) )
      | genlmt(X,Z) ),
    inference(skolemize,[status(sab)],[35]) ).

tff(37,plain,
    ! [X: $i,Y: $i,Z: $i] :
      ( genlmt(X,Z)
      | ~ genlmt(Y,Z)
      | ~ genlmt(X,Y) ),
    inference(modus_ponens,[status(thm)],[36,29]) ).

tff(38,plain,
    ! [X: $i,Y: $i,Z: $i] :
      ( genlmt(X,Z)
      | ~ genlmt(Y,Z)
      | ~ genlmt(X,Y) ),
    inference(modus_ponens,[status(thm)],[37,27]) ).

tff(39,plain,
    ( genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt)
  <=> genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt) ),
    inference(rewrite,[status(thm)],[]) ).

tff(40,axiom,
    genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).

tff(41,plain,
    genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
    inference(modus_ponens,[status(thm)],[40,39]) ).

tff(42,plain,
    ( genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
  <=> genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt) ),
    inference(rewrite,[status(thm)],[]) ).

tff(43,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).

tff(44,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(modus_ponens,[status(thm)],[43,42]) ).

tff(45,plain,
    ( ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( genlmt(X,Z)
            | ~ genlmt(Y,Z)
            | ~ genlmt(X,Y) )
      | ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
      | genlmt(c_tptpgeo_member8_mt,c_worldgeographymt)
      | ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt) )
  <=> ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( genlmt(X,Z)
            | ~ genlmt(Y,Z)
            | ~ genlmt(X,Y) )
      | ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
      | genlmt(c_tptpgeo_member8_mt,c_worldgeographymt)
      | ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(46,plain,
    ( ( genlmt(c_tptpgeo_member8_mt,c_worldgeographymt)
      | ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
      | ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt) )
  <=> ( ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
      | genlmt(c_tptpgeo_member8_mt,c_worldgeographymt)
      | ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(47,plain,
    ( ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( genlmt(X,Z)
            | ~ genlmt(Y,Z)
            | ~ genlmt(X,Y) )
      | genlmt(c_tptpgeo_member8_mt,c_worldgeographymt)
      | ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
      | ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt) )
  <=> ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( genlmt(X,Z)
            | ~ genlmt(Y,Z)
            | ~ genlmt(X,Y) )
      | ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
      | genlmt(c_tptpgeo_member8_mt,c_worldgeographymt)
      | ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt) ) ),
    inference(monotonicity,[status(thm)],[46]) ).

tff(48,plain,
    ( ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( genlmt(X,Z)
            | ~ genlmt(Y,Z)
            | ~ genlmt(X,Y) )
      | genlmt(c_tptpgeo_member8_mt,c_worldgeographymt)
      | ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
      | ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt) )
  <=> ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( genlmt(X,Z)
            | ~ genlmt(Y,Z)
            | ~ genlmt(X,Y) )
      | ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
      | genlmt(c_tptpgeo_member8_mt,c_worldgeographymt)
      | ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt) ) ),
    inference(transitivity,[status(thm)],[47,45]) ).

tff(49,plain,
    ( ~ ! [X: $i,Y: $i,Z: $i] :
          ( genlmt(X,Z)
          | ~ genlmt(Y,Z)
          | ~ genlmt(X,Y) )
    | genlmt(c_tptpgeo_member8_mt,c_worldgeographymt)
    | ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
    | ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(50,plain,
    ( ~ ! [X: $i,Y: $i,Z: $i] :
          ( genlmt(X,Z)
          | ~ genlmt(Y,Z)
          | ~ genlmt(X,Y) )
    | ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
    | genlmt(c_tptpgeo_member8_mt,c_worldgeographymt)
    | ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt) ),
    inference(modus_ponens,[status(thm)],[49,48]) ).

tff(51,plain,
    genlmt(c_tptpgeo_member8_mt,c_worldgeographymt),
    inference(unit_resolution,[status(thm)],[50,44,41,38]) ).

tff(52,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(53,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)],[52]) ).

tff(54,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(55,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)],[54]) ).

tff(56,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(57,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(58,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)],[57]) ).

tff(59,axiom,
    ! [SPECMT: $i,GENLMT: $i] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just93) ).

tff(60,plain,
    ! [SPECMT: $i,GENLMT: $i] :
      ( mtvisible(GENLMT)
      | ~ ( mtvisible(SPECMT)
          & genlmt(SPECMT,GENLMT) ) ),
    inference(modus_ponens,[status(thm)],[59,58]) ).

tff(61,plain,
    ! [SPECMT: $i,GENLMT: $i] :
      ( mtvisible(GENLMT)
      | ~ ( mtvisible(SPECMT)
          & genlmt(SPECMT,GENLMT) ) ),
    inference(modus_ponens,[status(thm)],[60,56]) ).

tff(62,plain,
    ! [SPECMT: $i,GENLMT: $i] :
      ( mtvisible(GENLMT)
      | ~ ( mtvisible(SPECMT)
          & genlmt(SPECMT,GENLMT) ) ),
    inference(skolemize,[status(sab)],[61]) ).

tff(63,plain,
    ! [SPECMT: $i,GENLMT: $i] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(modus_ponens,[status(thm)],[62,55]) ).

tff(64,plain,
    ! [SPECMT: $i,GENLMT: $i] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(modus_ponens,[status(thm)],[63,53]) ).

tff(65,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_worldgeographymt)
      | ~ mtvisible(c_tptpgeo_member8_mt)
      | ~ genlmt(c_tptpgeo_member8_mt,c_worldgeographymt) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_worldgeographymt)
      | ~ mtvisible(c_tptpgeo_member8_mt)
      | ~ genlmt(c_tptpgeo_member8_mt,c_worldgeographymt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(66,plain,
    ( ( mtvisible(c_worldgeographymt)
      | ~ genlmt(c_tptpgeo_member8_mt,c_worldgeographymt)
      | ~ mtvisible(c_tptpgeo_member8_mt) )
  <=> ( mtvisible(c_worldgeographymt)
      | ~ mtvisible(c_tptpgeo_member8_mt)
      | ~ genlmt(c_tptpgeo_member8_mt,c_worldgeographymt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(67,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_worldgeographymt)
      | ~ genlmt(c_tptpgeo_member8_mt,c_worldgeographymt)
      | ~ mtvisible(c_tptpgeo_member8_mt) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_worldgeographymt)
      | ~ mtvisible(c_tptpgeo_member8_mt)
      | ~ genlmt(c_tptpgeo_member8_mt,c_worldgeographymt) ) ),
    inference(monotonicity,[status(thm)],[66]) ).

tff(68,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_worldgeographymt)
      | ~ genlmt(c_tptpgeo_member8_mt,c_worldgeographymt)
      | ~ mtvisible(c_tptpgeo_member8_mt) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_worldgeographymt)
      | ~ mtvisible(c_tptpgeo_member8_mt)
      | ~ genlmt(c_tptpgeo_member8_mt,c_worldgeographymt) ) ),
    inference(transitivity,[status(thm)],[67,65]) ).

tff(69,plain,
    ( ~ ! [SPECMT: $i,GENLMT: $i] :
          ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) )
    | mtvisible(c_worldgeographymt)
    | ~ genlmt(c_tptpgeo_member8_mt,c_worldgeographymt)
    | ~ mtvisible(c_tptpgeo_member8_mt) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(70,plain,
    ( ~ ! [SPECMT: $i,GENLMT: $i] :
          ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) )
    | mtvisible(c_worldgeographymt)
    | ~ mtvisible(c_tptpgeo_member8_mt)
    | ~ genlmt(c_tptpgeo_member8_mt,c_worldgeographymt) ),
    inference(modus_ponens,[status(thm)],[69,68]) ).

tff(71,plain,
    ( mtvisible(c_worldgeographymt)
    | ~ mtvisible(c_tptpgeo_member8_mt) ),
    inference(unit_resolution,[status(thm)],[70,64,51]) ).

tff(72,plain,
    mtvisible(c_worldgeographymt),
    inference(unit_resolution,[status(thm)],[71,26]) ).

tff(73,plain,
    ( ( geolevel_4(c_georegion_l4_x75_y75)
      | ~ mtvisible(c_worldgeographymt) )
  <=> ( geolevel_4(c_georegion_l4_x75_y75)
      | ~ mtvisible(c_worldgeographymt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(74,plain,
    ( ( mtvisible(c_worldgeographymt)
     => geolevel_4(c_georegion_l4_x75_y75) )
  <=> ( geolevel_4(c_georegion_l4_x75_y75)
      | ~ mtvisible(c_worldgeographymt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(75,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_4(c_georegion_l4_x75_y75) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).

tff(76,plain,
    ( geolevel_4(c_georegion_l4_x75_y75)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(modus_ponens,[status(thm)],[75,74]) ).

tff(77,plain,
    ( geolevel_4(c_georegion_l4_x75_y75)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(modus_ponens,[status(thm)],[76,73]) ).

tff(78,plain,
    geolevel_4(c_georegion_l4_x75_y75),
    inference(unit_resolution,[status(thm)],[77,72]) ).

tff(79,plain,
    ( ( ~ ! [OBJ: $i] :
            ( geographicalregion(OBJ)
            | ~ geolevel_4(OBJ) )
      | geographicalregion(c_georegion_l4_x75_y75)
      | ~ geolevel_4(c_georegion_l4_x75_y75) )
  <=> ( ~ ! [OBJ: $i] :
            ( geographicalregion(OBJ)
            | ~ geolevel_4(OBJ) )
      | geographicalregion(c_georegion_l4_x75_y75)
      | ~ geolevel_4(c_georegion_l4_x75_y75) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(80,plain,
    ( ~ ! [OBJ: $i] :
          ( geographicalregion(OBJ)
          | ~ geolevel_4(OBJ) )
    | geographicalregion(c_georegion_l4_x75_y75)
    | ~ geolevel_4(c_georegion_l4_x75_y75) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(81,plain,
    ( ~ ! [OBJ: $i] :
          ( geographicalregion(OBJ)
          | ~ geolevel_4(OBJ) )
    | geographicalregion(c_georegion_l4_x75_y75)
    | ~ geolevel_4(c_georegion_l4_x75_y75) ),
    inference(modus_ponens,[status(thm)],[80,79]) ).

tff(82,plain,
    geographicalregion(c_georegion_l4_x75_y75),
    inference(unit_resolution,[status(thm)],[81,78,10]) ).

tff(83,plain,
    ^ [OBJ: $i] :
      refl(( ( partiallytangible(OBJ)
          | ~ geographicalregion(OBJ) )
      <=> ( partiallytangible(OBJ)
          | ~ geographicalregion(OBJ) ) )),
    inference(bind,[status(th)],[]) ).

tff(84,plain,
    ( ! [OBJ: $i] :
        ( partiallytangible(OBJ)
        | ~ geographicalregion(OBJ) )
  <=> ! [OBJ: $i] :
        ( partiallytangible(OBJ)
        | ~ geographicalregion(OBJ) ) ),
    inference(quant_intro,[status(thm)],[83]) ).

tff(85,plain,
    ( ! [OBJ: $i] :
        ( partiallytangible(OBJ)
        | ~ geographicalregion(OBJ) )
  <=> ! [OBJ: $i] :
        ( partiallytangible(OBJ)
        | ~ geographicalregion(OBJ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(86,plain,
    ^ [OBJ: $i] :
      rewrite(( ( geographicalregion(OBJ)
         => partiallytangible(OBJ) )
      <=> ( partiallytangible(OBJ)
          | ~ geographicalregion(OBJ) ) )),
    inference(bind,[status(th)],[]) ).

tff(87,plain,
    ( ! [OBJ: $i] :
        ( geographicalregion(OBJ)
       => partiallytangible(OBJ) )
  <=> ! [OBJ: $i] :
        ( partiallytangible(OBJ)
        | ~ geographicalregion(OBJ) ) ),
    inference(quant_intro,[status(thm)],[86]) ).

tff(88,axiom,
    ! [OBJ: $i] :
      ( geographicalregion(OBJ)
     => partiallytangible(OBJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just23) ).

tff(89,plain,
    ! [OBJ: $i] :
      ( partiallytangible(OBJ)
      | ~ geographicalregion(OBJ) ),
    inference(modus_ponens,[status(thm)],[88,87]) ).

tff(90,plain,
    ! [OBJ: $i] :
      ( partiallytangible(OBJ)
      | ~ geographicalregion(OBJ) ),
    inference(modus_ponens,[status(thm)],[89,85]) ).

tff(91,plain,
    ! [OBJ: $i] :
      ( partiallytangible(OBJ)
      | ~ geographicalregion(OBJ) ),
    inference(skolemize,[status(sab)],[90]) ).

tff(92,plain,
    ! [OBJ: $i] :
      ( partiallytangible(OBJ)
      | ~ geographicalregion(OBJ) ),
    inference(modus_ponens,[status(thm)],[91,84]) ).

tff(93,plain,
    ( ( ~ ! [OBJ: $i] :
            ( partiallytangible(OBJ)
            | ~ geographicalregion(OBJ) )
      | partiallytangible(c_georegion_l4_x75_y75)
      | ~ geographicalregion(c_georegion_l4_x75_y75) )
  <=> ( ~ ! [OBJ: $i] :
            ( partiallytangible(OBJ)
            | ~ geographicalregion(OBJ) )
      | partiallytangible(c_georegion_l4_x75_y75)
      | ~ geographicalregion(c_georegion_l4_x75_y75) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(94,plain,
    ( ~ ! [OBJ: $i] :
          ( partiallytangible(OBJ)
          | ~ geographicalregion(OBJ) )
    | partiallytangible(c_georegion_l4_x75_y75)
    | ~ geographicalregion(c_georegion_l4_x75_y75) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(95,plain,
    ( ~ ! [OBJ: $i] :
          ( partiallytangible(OBJ)
          | ~ geographicalregion(OBJ) )
    | partiallytangible(c_georegion_l4_x75_y75)
    | ~ geographicalregion(c_georegion_l4_x75_y75) ),
    inference(modus_ponens,[status(thm)],[94,93]) ).

tff(96,plain,
    partiallytangible(c_georegion_l4_x75_y75),
    inference(unit_resolution,[status(thm)],[95,92,82]) ).

tff(97,plain,
    ^ [OBJ: $i] :
      refl(( ( enduringthing_localized(OBJ)
          | ~ partiallytangible(OBJ) )
      <=> ( enduringthing_localized(OBJ)
          | ~ partiallytangible(OBJ) ) )),
    inference(bind,[status(th)],[]) ).

tff(98,plain,
    ( ! [OBJ: $i] :
        ( enduringthing_localized(OBJ)
        | ~ partiallytangible(OBJ) )
  <=> ! [OBJ: $i] :
        ( enduringthing_localized(OBJ)
        | ~ partiallytangible(OBJ) ) ),
    inference(quant_intro,[status(thm)],[97]) ).

tff(99,plain,
    ( ! [OBJ: $i] :
        ( enduringthing_localized(OBJ)
        | ~ partiallytangible(OBJ) )
  <=> ! [OBJ: $i] :
        ( enduringthing_localized(OBJ)
        | ~ partiallytangible(OBJ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(100,plain,
    ^ [OBJ: $i] :
      rewrite(( ( partiallytangible(OBJ)
         => enduringthing_localized(OBJ) )
      <=> ( enduringthing_localized(OBJ)
          | ~ partiallytangible(OBJ) ) )),
    inference(bind,[status(th)],[]) ).

tff(101,plain,
    ( ! [OBJ: $i] :
        ( partiallytangible(OBJ)
       => enduringthing_localized(OBJ) )
  <=> ! [OBJ: $i] :
        ( enduringthing_localized(OBJ)
        | ~ partiallytangible(OBJ) ) ),
    inference(quant_intro,[status(thm)],[100]) ).

tff(102,axiom,
    ! [OBJ: $i] :
      ( partiallytangible(OBJ)
     => enduringthing_localized(OBJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just19) ).

tff(103,plain,
    ! [OBJ: $i] :
      ( enduringthing_localized(OBJ)
      | ~ partiallytangible(OBJ) ),
    inference(modus_ponens,[status(thm)],[102,101]) ).

tff(104,plain,
    ! [OBJ: $i] :
      ( enduringthing_localized(OBJ)
      | ~ partiallytangible(OBJ) ),
    inference(modus_ponens,[status(thm)],[103,99]) ).

tff(105,plain,
    ! [OBJ: $i] :
      ( enduringthing_localized(OBJ)
      | ~ partiallytangible(OBJ) ),
    inference(skolemize,[status(sab)],[104]) ).

tff(106,plain,
    ! [OBJ: $i] :
      ( enduringthing_localized(OBJ)
      | ~ partiallytangible(OBJ) ),
    inference(modus_ponens,[status(thm)],[105,98]) ).

tff(107,plain,
    ( ( ~ ! [OBJ: $i] :
            ( enduringthing_localized(OBJ)
            | ~ partiallytangible(OBJ) )
      | enduringthing_localized(c_georegion_l4_x75_y75)
      | ~ partiallytangible(c_georegion_l4_x75_y75) )
  <=> ( ~ ! [OBJ: $i] :
            ( enduringthing_localized(OBJ)
            | ~ partiallytangible(OBJ) )
      | enduringthing_localized(c_georegion_l4_x75_y75)
      | ~ partiallytangible(c_georegion_l4_x75_y75) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(108,plain,
    ( ~ ! [OBJ: $i] :
          ( enduringthing_localized(OBJ)
          | ~ partiallytangible(OBJ) )
    | enduringthing_localized(c_georegion_l4_x75_y75)
    | ~ partiallytangible(c_georegion_l4_x75_y75) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(109,plain,
    ( ~ ! [OBJ: $i] :
          ( enduringthing_localized(OBJ)
          | ~ partiallytangible(OBJ) )
    | enduringthing_localized(c_georegion_l4_x75_y75)
    | ~ partiallytangible(c_georegion_l4_x75_y75) ),
    inference(modus_ponens,[status(thm)],[108,107]) ).

tff(110,plain,
    enduringthing_localized(c_georegion_l4_x75_y75),
    inference(unit_resolution,[status(thm)],[109,106,96]) ).

tff(111,plain,
    ^ [OBJ: $i] :
      refl(( ( spatialthing_nonsituational(OBJ)
          | ~ enduringthing_localized(OBJ) )
      <=> ( spatialthing_nonsituational(OBJ)
          | ~ enduringthing_localized(OBJ) ) )),
    inference(bind,[status(th)],[]) ).

tff(112,plain,
    ( ! [OBJ: $i] :
        ( spatialthing_nonsituational(OBJ)
        | ~ enduringthing_localized(OBJ) )
  <=> ! [OBJ: $i] :
        ( spatialthing_nonsituational(OBJ)
        | ~ enduringthing_localized(OBJ) ) ),
    inference(quant_intro,[status(thm)],[111]) ).

tff(113,plain,
    ( ! [OBJ: $i] :
        ( spatialthing_nonsituational(OBJ)
        | ~ enduringthing_localized(OBJ) )
  <=> ! [OBJ: $i] :
        ( spatialthing_nonsituational(OBJ)
        | ~ enduringthing_localized(OBJ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(114,plain,
    ^ [OBJ: $i] :
      rewrite(( ( enduringthing_localized(OBJ)
         => spatialthing_nonsituational(OBJ) )
      <=> ( spatialthing_nonsituational(OBJ)
          | ~ enduringthing_localized(OBJ) ) )),
    inference(bind,[status(th)],[]) ).

tff(115,plain,
    ( ! [OBJ: $i] :
        ( enduringthing_localized(OBJ)
       => spatialthing_nonsituational(OBJ) )
  <=> ! [OBJ: $i] :
        ( spatialthing_nonsituational(OBJ)
        | ~ enduringthing_localized(OBJ) ) ),
    inference(quant_intro,[status(thm)],[114]) ).

tff(116,axiom,
    ! [OBJ: $i] :
      ( enduringthing_localized(OBJ)
     => spatialthing_nonsituational(OBJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just17) ).

tff(117,plain,
    ! [OBJ: $i] :
      ( spatialthing_nonsituational(OBJ)
      | ~ enduringthing_localized(OBJ) ),
    inference(modus_ponens,[status(thm)],[116,115]) ).

tff(118,plain,
    ! [OBJ: $i] :
      ( spatialthing_nonsituational(OBJ)
      | ~ enduringthing_localized(OBJ) ),
    inference(modus_ponens,[status(thm)],[117,113]) ).

tff(119,plain,
    ! [OBJ: $i] :
      ( spatialthing_nonsituational(OBJ)
      | ~ enduringthing_localized(OBJ) ),
    inference(skolemize,[status(sab)],[118]) ).

tff(120,plain,
    ! [OBJ: $i] :
      ( spatialthing_nonsituational(OBJ)
      | ~ enduringthing_localized(OBJ) ),
    inference(modus_ponens,[status(thm)],[119,112]) ).

tff(121,plain,
    ( ( ~ ! [OBJ: $i] :
            ( spatialthing_nonsituational(OBJ)
            | ~ enduringthing_localized(OBJ) )
      | spatialthing_nonsituational(c_georegion_l4_x75_y75)
      | ~ enduringthing_localized(c_georegion_l4_x75_y75) )
  <=> ( ~ ! [OBJ: $i] :
            ( spatialthing_nonsituational(OBJ)
            | ~ enduringthing_localized(OBJ) )
      | spatialthing_nonsituational(c_georegion_l4_x75_y75)
      | ~ enduringthing_localized(c_georegion_l4_x75_y75) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(122,plain,
    ( ~ ! [OBJ: $i] :
          ( spatialthing_nonsituational(OBJ)
          | ~ enduringthing_localized(OBJ) )
    | spatialthing_nonsituational(c_georegion_l4_x75_y75)
    | ~ enduringthing_localized(c_georegion_l4_x75_y75) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(123,plain,
    ( ~ ! [OBJ: $i] :
          ( spatialthing_nonsituational(OBJ)
          | ~ enduringthing_localized(OBJ) )
    | spatialthing_nonsituational(c_georegion_l4_x75_y75)
    | ~ enduringthing_localized(c_georegion_l4_x75_y75) ),
    inference(modus_ponens,[status(thm)],[122,121]) ).

tff(124,plain,
    spatialthing_nonsituational(c_georegion_l4_x75_y75),
    inference(unit_resolution,[status(thm)],[123,120,110]) ).

tff(125,plain,
    ^ [X: $i] :
      refl(( ( ~ spatialthing_nonsituational(X)
          | inregion(X,X) )
      <=> ( ~ spatialthing_nonsituational(X)
          | inregion(X,X) ) )),
    inference(bind,[status(th)],[]) ).

tff(126,plain,
    ( ! [X: $i] :
        ( ~ spatialthing_nonsituational(X)
        | inregion(X,X) )
  <=> ! [X: $i] :
        ( ~ spatialthing_nonsituational(X)
        | inregion(X,X) ) ),
    inference(quant_intro,[status(thm)],[125]) ).

tff(127,plain,
    ( ! [X: $i] :
        ( ~ spatialthing_nonsituational(X)
        | inregion(X,X) )
  <=> ! [X: $i] :
        ( ~ spatialthing_nonsituational(X)
        | inregion(X,X) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(128,plain,
    ^ [X: $i] :
      rewrite(( ( spatialthing_nonsituational(X)
         => inregion(X,X) )
      <=> ( ~ spatialthing_nonsituational(X)
          | inregion(X,X) ) )),
    inference(bind,[status(th)],[]) ).

tff(129,plain,
    ( ! [X: $i] :
        ( spatialthing_nonsituational(X)
       => inregion(X,X) )
  <=> ! [X: $i] :
        ( ~ spatialthing_nonsituational(X)
        | inregion(X,X) ) ),
    inference(quant_intro,[status(thm)],[128]) ).

tff(130,axiom,
    ! [X: $i] :
      ( spatialthing_nonsituational(X)
     => inregion(X,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',just84) ).

tff(131,plain,
    ! [X: $i] :
      ( ~ spatialthing_nonsituational(X)
      | inregion(X,X) ),
    inference(modus_ponens,[status(thm)],[130,129]) ).

tff(132,plain,
    ! [X: $i] :
      ( ~ spatialthing_nonsituational(X)
      | inregion(X,X) ),
    inference(modus_ponens,[status(thm)],[131,127]) ).

tff(133,plain,
    ! [X: $i] :
      ( ~ spatialthing_nonsituational(X)
      | inregion(X,X) ),
    inference(skolemize,[status(sab)],[132]) ).

tff(134,plain,
    ! [X: $i] :
      ( ~ spatialthing_nonsituational(X)
      | inregion(X,X) ),
    inference(modus_ponens,[status(thm)],[133,126]) ).

tff(135,plain,
    ( ( ~ ! [X: $i] :
            ( ~ spatialthing_nonsituational(X)
            | inregion(X,X) )
      | ~ spatialthing_nonsituational(c_georegion_l4_x75_y75)
      | inregion(c_georegion_l4_x75_y75,c_georegion_l4_x75_y75) )
  <=> ( ~ ! [X: $i] :
            ( ~ spatialthing_nonsituational(X)
            | inregion(X,X) )
      | ~ spatialthing_nonsituational(c_georegion_l4_x75_y75)
      | inregion(c_georegion_l4_x75_y75,c_georegion_l4_x75_y75) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(136,plain,
    ( ~ ! [X: $i] :
          ( ~ spatialthing_nonsituational(X)
          | inregion(X,X) )
    | ~ spatialthing_nonsituational(c_georegion_l4_x75_y75)
    | inregion(c_georegion_l4_x75_y75,c_georegion_l4_x75_y75) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(137,plain,
    ( ~ ! [X: $i] :
          ( ~ spatialthing_nonsituational(X)
          | inregion(X,X) )
    | ~ spatialthing_nonsituational(c_georegion_l4_x75_y75)
    | inregion(c_georegion_l4_x75_y75,c_georegion_l4_x75_y75) ),
    inference(modus_ponens,[status(thm)],[136,135]) ).

tff(138,plain,
    inregion(c_georegion_l4_x75_y75,c_georegion_l4_x75_y75),
    inference(unit_resolution,[status(thm)],[137,134,124]) ).

tff(139,plain,
    ( ~ mtvisible(c_tptpgeo_member8_mt)
    | inregion(c_georegion_l4_x75_y75,c_georegion_l4_x75_y75)
    | ~ inregion(c_georegion_l4_x75_y75,c_georegion_l4_x75_y75) ),
    inference(tautology,[status(thm)],[]) ).

tff(140,plain,
    ( ~ mtvisible(c_tptpgeo_member8_mt)
    | inregion(c_georegion_l4_x75_y75,c_georegion_l4_x75_y75) ),
    inference(unit_resolution,[status(thm)],[139,138]) ).

tff(141,plain,
    ( ~ ! [X: $i] :
          ~ ( ~ mtvisible(c_tptpgeo_member8_mt)
            | inregion(X,c_georegion_l4_x75_y75) )
    | ~ ( ~ mtvisible(c_tptpgeo_member8_mt)
        | inregion(c_georegion_l4_x75_y75,c_georegion_l4_x75_y75) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(142,plain,
    $false,
    inference(unit_resolution,[status(thm)],[141,22,140]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : CSR057+1 : TPTP v9.0.0. Released v3.4.0.
% 0.08/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Thu Jun 19 12:44:41 EDT 2025
% 0.14/0.36  % CPUTime    : 
% 0.23/0.42  % SZS status Theorem
% 0.23/0.42  % SZS output start Proof
% See solution above
% 0.23/0.44  % E exiting
%------------------------------------------------------------------------------