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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : NLP001^3 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:16:16 AM UTC 2026

% Result   : Theorem 6.43s 2.23s
% Output   : Refutation 6.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   63
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  134 (  27 unt;   0 typ;  12 def)
%            Number of atoms       : 1286 (  46 equ;   0 cnn)
%            Maximal formula atoms :  128 (   9 avg)
%            Number of connectives : 3639 ( 616   ~; 599   |; 216   &;2203   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   42 (   9 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   31 (  28 usr;  12 con; 0-3 aty)
%            Number of variables   :  175 (  41   ^;  81   !;  45   ?; 175   :)
%                                         (   0  !>;   0  ?*;   0  @-;   8  @+)

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

thf(mactual_decl,type,
    mactual: mworld ).

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

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

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

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

thf(chevy_decl,type,
    chevy: $i > mworld > $o ).

thf(dirty_decl,type,
    dirty: $i > mworld > $o ).

thf(barrel_decl,type,
    barrel: $i > $i > mworld > $o ).

thf(hollywood_decl,type,
    hollywood: $i > mworld > $o ).

thf(city_decl,type,
    city: $i > mworld > $o ).

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

thf(old_decl,type,
    old: $i > mworld > $o ).

thf(down_decl,type,
    down: $i > $i > mworld > $o ).

thf(way_decl,type,
    way: $i > mworld > $o ).

thf(white_decl,type,
    white: $i > mworld > $o ).

thf(car_decl,type,
    car: $i > mworld > $o ).

thf(street_decl,type,
    street: $i > mworld > $o ).

thf(event_decl,type,
    event: $i > mworld > $o ).

thf(lonely_decl,type,
    lonely: $i > mworld > $o ).

thf(sk1_decl,type,
    sk1: $o ).

thf(sk2_decl,type,
    sk2: $i ).

thf(sk3_decl,type,
    sk3: $i ).

thf(sk4_decl,type,
    sk4: $i ).

thf(sk5_decl,type,
    sk5: $i ).

thf(sk6_decl,type,
    sk6: $i ).

thf(sk7_decl,type,
    sk7: $i ).

thf(sk8_decl,type,
    sk8: $i ).

thf(sk9_decl,type,
    sk9: $i ).

thf(mlocal_def,definition,
    ( mlocal
    = ( ^ [A: mworld > $o] : ( A @ mactual ) ) ) ).

thf(mand_def,definition,
    ( mand
    = ( ^ [A: mworld > $o,B: mworld > $o,C: mworld] :
          ( ( A @ C )
          & ( B @ C ) ) ) ) ).

thf(mimplies_def,definition,
    ( mimplies
    = ( ^ [A: mworld > $o,B: mworld > $o,C: mworld] :
          ( ( A @ C )
         => ( B @ C ) ) ) ) ).

thf(mexists_di_def,definition,
    ( mexists_di
    = ( ^ [A: $i > mworld > $o,B: mworld] :
        ? [C: $i] : ( A @ C @ B ) ) ) ).

thf(sk2_def,definition,
    ( sk2
    = ( @+[A: $i] :
          ( ( hollywood @ A @ mactual )
          & ( city @ A @ mactual )
          & ? [B: $i] :
              ( ( event @ B @ mactual )
              & ? [C: $i] :
                  ( ( street @ C @ mactual )
                  & ( way @ C @ mactual )
                  & ( lonely @ C @ mactual )
                  & ? [D: $i] :
                      ( ( chevy @ D @ mactual )
                      & ( car @ D @ mactual )
                      & ( white @ D @ mactual )
                      & ( dirty @ D @ mactual )
                      & ( old @ D @ mactual )
                      & ( barrel @ B @ D @ mactual )
                      & ( down @ B @ C @ mactual )
                      & ( in @ B @ A @ mactual ) ) ) ) ) ) ) ).

thf(sk3_def,definition,
    ( sk3
    = ( @+[A: $i] :
          ( ( event @ A @ mactual )
          & ? [B: $i] :
              ( ( street @ B @ mactual )
              & ( way @ B @ mactual )
              & ( lonely @ B @ mactual )
              & ? [C: $i] :
                  ( ( chevy @ C @ mactual )
                  & ( car @ C @ mactual )
                  & ( white @ C @ mactual )
                  & ( dirty @ C @ mactual )
                  & ( old @ C @ mactual )
                  & ( barrel @ A @ C @ mactual )
                  & ( down @ A @ B @ mactual )
                  & ( in @ A @ sk2 @ mactual ) ) ) ) ) ) ).

thf(sk4_def,definition,
    ( sk4
    = ( @+[A: $i] :
          ( ( street @ A @ mactual )
          & ( way @ A @ mactual )
          & ( lonely @ A @ mactual )
          & ? [B: $i] :
              ( ( chevy @ B @ mactual )
              & ( car @ B @ mactual )
              & ( white @ B @ mactual )
              & ( dirty @ B @ mactual )
              & ( old @ B @ mactual )
              & ( barrel @ sk3 @ B @ mactual )
              & ( down @ sk3 @ A @ mactual )
              & ( in @ sk3 @ sk2 @ mactual ) ) ) ) ) ).

thf(sk5_def,definition,
    ( sk5
    = ( @+[A: $i] :
          ( ( chevy @ A @ mactual )
          & ( car @ A @ mactual )
          & ( white @ A @ mactual )
          & ( dirty @ A @ mactual )
          & ( old @ A @ mactual )
          & ( barrel @ sk3 @ A @ mactual )
          & ( down @ sk3 @ sk4 @ mactual )
          & ( in @ sk3 @ sk2 @ mactual ) ) ) ) ).

thf(sk6_def,definition,
    ( sk6
    = ( @+[A: $i] :
          ( ( hollywood @ A @ mactual )
          & ( city @ A @ mactual )
          & ? [B: $i] :
              ( ( event @ B @ mactual )
              & ? [C: $i] :
                  ( ( chevy @ C @ mactual )
                  & ( car @ C @ mactual )
                  & ( white @ C @ mactual )
                  & ( dirty @ C @ mactual )
                  & ( old @ C @ mactual )
                  & ? [D: $i] :
                      ( ( street @ D @ mactual )
                      & ( way @ D @ mactual )
                      & ( lonely @ D @ mactual )
                      & ( barrel @ B @ C @ mactual )
                      & ( down @ B @ D @ mactual )
                      & ( in @ B @ A @ mactual ) ) ) ) ) ) ) ).

thf(sk7_def,definition,
    ( sk7
    = ( @+[A: $i] :
          ( ( event @ A @ mactual )
          & ? [B: $i] :
              ( ( chevy @ B @ mactual )
              & ( car @ B @ mactual )
              & ( white @ B @ mactual )
              & ( dirty @ B @ mactual )
              & ( old @ B @ mactual )
              & ? [C: $i] :
                  ( ( street @ C @ mactual )
                  & ( way @ C @ mactual )
                  & ( lonely @ C @ mactual )
                  & ( barrel @ A @ B @ mactual )
                  & ( down @ A @ C @ mactual )
                  & ( in @ A @ sk6 @ mactual ) ) ) ) ) ) ).

thf(sk8_def,definition,
    ( sk8
    = ( @+[A: $i] :
          ( ( chevy @ A @ mactual )
          & ( car @ A @ mactual )
          & ( white @ A @ mactual )
          & ( dirty @ A @ mactual )
          & ( old @ A @ mactual )
          & ? [B: $i] :
              ( ( street @ B @ mactual )
              & ( way @ B @ mactual )
              & ( lonely @ B @ mactual )
              & ( barrel @ sk7 @ A @ mactual )
              & ( down @ sk7 @ B @ mactual )
              & ( in @ sk7 @ sk6 @ mactual ) ) ) ) ) ).

thf(sk9_def,definition,
    ( sk9
    = ( @+[A: $i] :
          ( ( street @ A @ mactual )
          & ( way @ A @ mactual )
          & ( lonely @ A @ mactual )
          & ( barrel @ sk7 @ sk8 @ mactual )
          & ( down @ sk7 @ A @ mactual )
          & ( in @ sk7 @ sk6 @ mactual ) ) ) ) ).

thf(1,conjecture,
    ( mlocal
    @ ( mand
      @ ( mimplies
        @ ( mexists_di
          @ ^ [A: $i] :
              ( mexists_di
              @ ^ [B: $i] :
                  ( mexists_di
                  @ ^ [C: $i] :
                      ( mexists_di
                      @ ^ [D: $i] : ( mand @ ( hollywood @ A ) @ ( mand @ ( city @ A ) @ ( mand @ ( event @ B ) @ ( mand @ ( street @ C ) @ ( mand @ ( way @ C ) @ ( mand @ ( lonely @ C ) @ ( mand @ ( chevy @ D ) @ ( mand @ ( car @ D ) @ ( mand @ ( white @ D ) @ ( mand @ ( dirty @ D ) @ ( mand @ ( old @ D ) @ ( mand @ ( barrel @ B @ D ) @ ( mand @ ( down @ B @ C ) @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( mexists_di
          @ ^ [A: $i] :
              ( mexists_di
              @ ^ [B: $i] :
                  ( mexists_di
                  @ ^ [C: $i] :
                      ( mexists_di
                      @ ^ [D: $i] : ( mand @ ( hollywood @ A ) @ ( mand @ ( city @ A ) @ ( mand @ ( event @ B ) @ ( mand @ ( chevy @ C ) @ ( mand @ ( car @ C ) @ ( mand @ ( white @ C ) @ ( mand @ ( dirty @ C ) @ ( mand @ ( old @ C ) @ ( mand @ ( street @ D ) @ ( mand @ ( way @ D ) @ ( mand @ ( lonely @ D ) @ ( mand @ ( barrel @ B @ C ) @ ( mand @ ( down @ B @ D ) @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
      @ ( mimplies
        @ ( mexists_di
          @ ^ [A: $i] :
              ( mexists_di
              @ ^ [B: $i] :
                  ( mexists_di
                  @ ^ [C: $i] :
                      ( mexists_di
                      @ ^ [D: $i] : ( mand @ ( hollywood @ A ) @ ( mand @ ( city @ A ) @ ( mand @ ( event @ B ) @ ( mand @ ( chevy @ C ) @ ( mand @ ( car @ C ) @ ( mand @ ( white @ C ) @ ( mand @ ( dirty @ C ) @ ( mand @ ( old @ C ) @ ( mand @ ( street @ D ) @ ( mand @ ( way @ D ) @ ( mand @ ( lonely @ D ) @ ( mand @ ( barrel @ B @ C ) @ ( mand @ ( down @ B @ D ) @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( mexists_di
          @ ^ [A: $i] :
              ( mexists_di
              @ ^ [B: $i] :
                  ( mexists_di
                  @ ^ [C: $i] :
                      ( mexists_di
                      @ ^ [D: $i] : ( mand @ ( hollywood @ A ) @ ( mand @ ( city @ A ) @ ( mand @ ( event @ B ) @ ( mand @ ( street @ C ) @ ( mand @ ( way @ C ) @ ( mand @ ( lonely @ C ) @ ( mand @ ( chevy @ D ) @ ( mand @ ( car @ D ) @ ( mand @ ( white @ D ) @ ( mand @ ( dirty @ D ) @ ( mand @ ( old @ D ) @ ( mand @ ( barrel @ B @ D ) @ ( mand @ ( down @ B @ C ) @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

thf(2,negated_conjecture,
    ~ ( mlocal
      @ ( mand
        @ ( mimplies
          @ ( mexists_di
            @ ^ [A: $i] :
                ( mexists_di
                @ ^ [B: $i] :
                    ( mexists_di
                    @ ^ [C: $i] :
                        ( mexists_di
                        @ ^ [D: $i] : ( mand @ ( hollywood @ A ) @ ( mand @ ( city @ A ) @ ( mand @ ( event @ B ) @ ( mand @ ( street @ C ) @ ( mand @ ( way @ C ) @ ( mand @ ( lonely @ C ) @ ( mand @ ( chevy @ D ) @ ( mand @ ( car @ D ) @ ( mand @ ( white @ D ) @ ( mand @ ( dirty @ D ) @ ( mand @ ( old @ D ) @ ( mand @ ( barrel @ B @ D ) @ ( mand @ ( down @ B @ C ) @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( mexists_di
            @ ^ [A: $i] :
                ( mexists_di
                @ ^ [B: $i] :
                    ( mexists_di
                    @ ^ [C: $i] :
                        ( mexists_di
                        @ ^ [D: $i] : ( mand @ ( hollywood @ A ) @ ( mand @ ( city @ A ) @ ( mand @ ( event @ B ) @ ( mand @ ( chevy @ C ) @ ( mand @ ( car @ C ) @ ( mand @ ( white @ C ) @ ( mand @ ( dirty @ C ) @ ( mand @ ( old @ C ) @ ( mand @ ( street @ D ) @ ( mand @ ( way @ D ) @ ( mand @ ( lonely @ D ) @ ( mand @ ( barrel @ B @ C ) @ ( mand @ ( down @ B @ D ) @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
        @ ( mimplies
          @ ( mexists_di
            @ ^ [A: $i] :
                ( mexists_di
                @ ^ [B: $i] :
                    ( mexists_di
                    @ ^ [C: $i] :
                        ( mexists_di
                        @ ^ [D: $i] : ( mand @ ( hollywood @ A ) @ ( mand @ ( city @ A ) @ ( mand @ ( event @ B ) @ ( mand @ ( chevy @ C ) @ ( mand @ ( car @ C ) @ ( mand @ ( white @ C ) @ ( mand @ ( dirty @ C ) @ ( mand @ ( old @ C ) @ ( mand @ ( street @ D ) @ ( mand @ ( way @ D ) @ ( mand @ ( lonely @ D ) @ ( mand @ ( barrel @ B @ C ) @ ( mand @ ( down @ B @ D ) @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          @ ( mexists_di
            @ ^ [A: $i] :
                ( mexists_di
                @ ^ [B: $i] :
                    ( mexists_di
                    @ ^ [C: $i] :
                        ( mexists_di
                        @ ^ [D: $i] : ( mand @ ( hollywood @ A ) @ ( mand @ ( city @ A ) @ ( mand @ ( event @ B ) @ ( mand @ ( street @ C ) @ ( mand @ ( way @ C ) @ ( mand @ ( lonely @ C ) @ ( mand @ ( chevy @ D ) @ ( mand @ ( car @ D ) @ ( mand @ ( white @ D ) @ ( mand @ ( dirty @ D ) @ ( mand @ ( old @ D ) @ ( mand @ ( barrel @ B @ D ) @ ( mand @ ( down @ B @ C ) @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(4,plain,
    ~ ( ( ? [A: $i,B: $i,C: $i,D: $i] :
            ( ( hollywood @ A @ mactual )
            & ( city @ A @ mactual )
            & ( event @ B @ mactual )
            & ( street @ C @ mactual )
            & ( way @ C @ mactual )
            & ( lonely @ C @ mactual )
            & ( chevy @ D @ mactual )
            & ( car @ D @ mactual )
            & ( white @ D @ mactual )
            & ( dirty @ D @ mactual )
            & ( old @ D @ mactual )
            & ( barrel @ B @ D @ mactual )
            & ( down @ B @ C @ mactual )
            & ( in @ B @ A @ mactual ) )
       => ? [A: $i,B: $i,C: $i,D: $i] :
            ( ( hollywood @ A @ mactual )
            & ( city @ A @ mactual )
            & ( event @ B @ mactual )
            & ( chevy @ C @ mactual )
            & ( car @ C @ mactual )
            & ( white @ C @ mactual )
            & ( dirty @ C @ mactual )
            & ( old @ C @ mactual )
            & ( street @ D @ mactual )
            & ( way @ D @ mactual )
            & ( lonely @ D @ mactual )
            & ( barrel @ B @ C @ mactual )
            & ( down @ B @ D @ mactual )
            & ( in @ B @ A @ mactual ) ) )
      & ( ? [A: $i,B: $i,C: $i,D: $i] :
            ( ( hollywood @ A @ mactual )
            & ( city @ A @ mactual )
            & ( event @ B @ mactual )
            & ( chevy @ C @ mactual )
            & ( car @ C @ mactual )
            & ( white @ C @ mactual )
            & ( dirty @ C @ mactual )
            & ( old @ C @ mactual )
            & ( street @ D @ mactual )
            & ( way @ D @ mactual )
            & ( lonely @ D @ mactual )
            & ( barrel @ B @ C @ mactual )
            & ( down @ B @ D @ mactual )
            & ( in @ B @ A @ mactual ) )
       => ? [A: $i,B: $i,C: $i,D: $i] :
            ( ( hollywood @ A @ mactual )
            & ( city @ A @ mactual )
            & ( event @ B @ mactual )
            & ( street @ C @ mactual )
            & ( way @ C @ mactual )
            & ( lonely @ C @ mactual )
            & ( chevy @ D @ mactual )
            & ( car @ D @ mactual )
            & ( white @ D @ mactual )
            & ( dirty @ D @ mactual )
            & ( old @ D @ mactual )
            & ( barrel @ B @ D @ mactual )
            & ( down @ B @ C @ mactual )
            & ( in @ B @ A @ mactual ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(5,plain,
    ~ ( ( ? [A: $i] :
            ( ( hollywood @ A @ mactual )
            & ( city @ A @ mactual )
            & ? [B: $i] :
                ( ( event @ B @ mactual )
                & ? [C: $i] :
                    ( ( street @ C @ mactual )
                    & ( way @ C @ mactual )
                    & ( lonely @ C @ mactual )
                    & ? [D: $i] :
                        ( ( chevy @ D @ mactual )
                        & ( car @ D @ mactual )
                        & ( white @ D @ mactual )
                        & ( dirty @ D @ mactual )
                        & ( old @ D @ mactual )
                        & ( barrel @ B @ D @ mactual )
                        & ( down @ B @ C @ mactual )
                        & ( in @ B @ A @ mactual ) ) ) ) )
       => ? [A: $i] :
            ( ( hollywood @ A @ mactual )
            & ( city @ A @ mactual )
            & ? [B: $i] :
                ( ( event @ B @ mactual )
                & ? [C: $i] :
                    ( ( chevy @ C @ mactual )
                    & ( car @ C @ mactual )
                    & ( white @ C @ mactual )
                    & ( dirty @ C @ mactual )
                    & ( old @ C @ mactual )
                    & ? [D: $i] :
                        ( ( street @ D @ mactual )
                        & ( way @ D @ mactual )
                        & ( lonely @ D @ mactual )
                        & ( barrel @ B @ C @ mactual )
                        & ( down @ B @ D @ mactual )
                        & ( in @ B @ A @ mactual ) ) ) ) ) )
      & ( ? [A: $i] :
            ( ( hollywood @ A @ mactual )
            & ( city @ A @ mactual )
            & ? [B: $i] :
                ( ( event @ B @ mactual )
                & ? [C: $i] :
                    ( ( chevy @ C @ mactual )
                    & ( car @ C @ mactual )
                    & ( white @ C @ mactual )
                    & ( dirty @ C @ mactual )
                    & ( old @ C @ mactual )
                    & ? [D: $i] :
                        ( ( street @ D @ mactual )
                        & ( way @ D @ mactual )
                        & ( lonely @ D @ mactual )
                        & ( barrel @ B @ C @ mactual )
                        & ( down @ B @ D @ mactual )
                        & ( in @ B @ A @ mactual ) ) ) ) )
       => ? [A: $i] :
            ( ( hollywood @ A @ mactual )
            & ( city @ A @ mactual )
            & ? [B: $i] :
                ( ( event @ B @ mactual )
                & ? [C: $i] :
                    ( ( street @ C @ mactual )
                    & ( way @ C @ mactual )
                    & ( lonely @ C @ mactual )
                    & ? [D: $i] :
                        ( ( chevy @ D @ mactual )
                        & ( car @ D @ mactual )
                        & ( white @ D @ mactual )
                        & ( dirty @ D @ mactual )
                        & ( old @ D @ mactual )
                        & ( barrel @ B @ D @ mactual )
                        & ( down @ B @ C @ mactual )
                        & ( in @ B @ A @ mactual ) ) ) ) ) ) ),
    inference(miniscope,[status(thm)],[4]) ).

thf(6,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( hollywood @ sk2 @ mactual )
        | ~ sk1 )
      & ( ( city @ sk2 @ mactual )
        | ~ sk1 )
      & ( ( event @ sk3 @ mactual )
        | ~ sk1 )
      & ( ( street @ sk4 @ mactual )
        | ~ sk1 )
      & ( ( way @ sk4 @ mactual )
        | ~ sk1 )
      & ( ( lonely @ sk4 @ mactual )
        | ~ sk1 )
      & ( ( chevy @ sk5 @ mactual )
        | ~ sk1 )
      & ( ( car @ sk5 @ mactual )
        | ~ sk1 )
      & ( ( white @ sk5 @ mactual )
        | ~ sk1 )
      & ( ( dirty @ sk5 @ mactual )
        | ~ sk1 )
      & ( ( old @ sk5 @ mactual )
        | ~ sk1 )
      & ( ( barrel @ sk3 @ sk5 @ mactual )
        | ~ sk1 )
      & ( ( down @ sk3 @ sk4 @ mactual )
        | ~ sk1 )
      & ( ( in @ sk3 @ sk2 @ mactual )
        | ~ sk1 )
      & ( ~ ( hollywood @ A @ mactual )
        | ~ ( city @ A @ mactual )
        | ~ ( event @ B @ mactual )
        | ~ ( chevy @ C @ mactual )
        | ~ ( car @ C @ mactual )
        | ~ ( white @ C @ mactual )
        | ~ ( dirty @ C @ mactual )
        | ~ ( old @ C @ mactual )
        | ~ ( street @ D @ mactual )
        | ~ ( way @ D @ mactual )
        | ~ ( lonely @ D @ mactual )
        | ~ ( barrel @ B @ C @ mactual )
        | ~ ( down @ B @ D @ mactual )
        | ~ ( in @ B @ A @ mactual )
        | ~ sk1 )
      & ( sk1
        | ( hollywood @ sk6 @ mactual ) )
      & ( sk1
        | ( city @ sk6 @ mactual ) )
      & ( sk1
        | ( event @ sk7 @ mactual ) )
      & ( sk1
        | ( chevy @ sk8 @ mactual ) )
      & ( sk1
        | ( car @ sk8 @ mactual ) )
      & ( sk1
        | ( white @ sk8 @ mactual ) )
      & ( sk1
        | ( dirty @ sk8 @ mactual ) )
      & ( sk1
        | ( old @ sk8 @ mactual ) )
      & ( sk1
        | ( street @ sk9 @ mactual ) )
      & ( sk1
        | ( way @ sk9 @ mactual ) )
      & ( sk1
        | ( lonely @ sk9 @ mactual ) )
      & ( sk1
        | ( barrel @ sk7 @ sk8 @ mactual ) )
      & ( sk1
        | ( down @ sk7 @ sk9 @ mactual ) )
      & ( sk1
        | ( in @ sk7 @ sk6 @ mactual ) )
      & ( sk1
        | ~ ( hollywood @ E @ mactual )
        | ~ ( city @ E @ mactual )
        | ~ ( event @ F @ mactual )
        | ~ ( street @ G @ mactual )
        | ~ ( way @ G @ mactual )
        | ~ ( lonely @ G @ mactual )
        | ~ ( chevy @ H @ mactual )
        | ~ ( car @ H @ mactual )
        | ~ ( white @ H @ mactual )
        | ~ ( dirty @ H @ mactual )
        | ~ ( old @ H @ mactual )
        | ~ ( barrel @ F @ H @ mactual )
        | ~ ( down @ F @ G @ mactual )
        | ~ ( in @ F @ E @ mactual ) ) ),
    inference(cnf,[status(esa)],[5]) ).

thf(23,plain,
    ( sk1
    | ( in @ sk7 @ sk6 @ mactual ) ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(19,plain,
    ( ( way @ sk4 @ mactual )
    | ~ sk1 ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(36,plain,
    ( ( street @ sk4 @ mactual )
    | ~ sk1 ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(31,plain,
    ( ( hollywood @ sk2 @ mactual )
    | ~ sk1 ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(34,plain,
    ( ( dirty @ sk5 @ mactual )
    | ~ sk1 ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(33,plain,
    ( ( event @ sk3 @ mactual )
    | ~ sk1 ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(25,plain,
    ( ( chevy @ sk5 @ mactual )
    | ~ sk1 ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(35,plain,
    ( ( in @ sk3 @ sk2 @ mactual )
    | ~ sk1 ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(29,plain,
    ( ( down @ sk3 @ sk4 @ mactual )
    | ~ sk1 ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(26,plain,
    ( ( barrel @ sk3 @ sk5 @ mactual )
    | ~ sk1 ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(15,plain,
    ( ( car @ sk5 @ mactual )
    | ~ sk1 ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(11,plain,
    ( ( old @ sk5 @ mactual )
    | ~ sk1 ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(12,plain,
    ( ( city @ sk2 @ mactual )
    | ~ sk1 ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(9,plain,
    ( ( lonely @ sk4 @ mactual )
    | ~ sk1 ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(7,plain,
    ( ( white @ sk5 @ mactual )
    | ~ sk1 ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(8,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( event @ B @ mactual )
      | ~ ( chevy @ C @ mactual )
      | ~ ( car @ C @ mactual )
      | ~ ( white @ C @ mactual )
      | ~ ( dirty @ C @ mactual )
      | ~ ( old @ C @ mactual )
      | ~ ( street @ D @ mactual )
      | ~ ( way @ D @ mactual )
      | ~ ( lonely @ D @ mactual )
      | ~ ( barrel @ B @ C @ mactual )
      | ~ ( down @ B @ D @ mactual )
      | ~ ( in @ B @ A @ mactual )
      | ~ sk1 ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(46,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ sk1
      | ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( event @ B @ mactual )
      | ~ ( chevy @ C @ mactual )
      | ~ ( car @ C @ mactual )
      | ~ $true
      | ~ ( dirty @ C @ mactual )
      | ~ ( old @ C @ mactual )
      | ~ ( street @ D @ mactual )
      | ~ ( way @ D @ mactual )
      | ~ ( lonely @ D @ mactual )
      | ~ ( barrel @ B @ C @ mactual )
      | ~ ( down @ B @ D @ mactual )
      | ~ ( in @ B @ A @ mactual )
      | ~ sk1
      | ( ( white @ sk5 @ mactual )
       != ( white @ C @ mactual ) ) ),
    inference(paramod_ordered,[status(thm)],[7,8]) ).

thf(47,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ sk1
      | ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( event @ B @ mactual )
      | ~ ( chevy @ C @ mactual )
      | ~ ( car @ C @ mactual )
      | ~ ( dirty @ C @ mactual )
      | ~ ( old @ C @ mactual )
      | ~ ( street @ D @ mactual )
      | ~ ( way @ D @ mactual )
      | ~ ( lonely @ D @ mactual )
      | ~ ( barrel @ B @ C @ mactual )
      | ~ ( down @ B @ D @ mactual )
      | ~ ( in @ B @ A @ mactual )
      | ( ( white @ sk5 @ mactual )
       != ( white @ C @ mactual ) ) ),
    inference(simp,[status(thm)],[46]) ).

thf(48,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ sk1
      | ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( event @ B @ mactual )
      | ~ ( chevy @ sk5 @ mactual )
      | ~ ( car @ sk5 @ mactual )
      | ~ ( dirty @ sk5 @ mactual )
      | ~ ( old @ sk5 @ mactual )
      | ~ ( street @ C @ mactual )
      | ~ ( way @ C @ mactual )
      | ~ ( lonely @ C @ mactual )
      | ~ ( barrel @ B @ sk5 @ mactual )
      | ~ ( down @ B @ C @ mactual )
      | ~ ( in @ B @ A @ mactual ) ),
    inference(pattern_uni,[status(thm)],[47:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk5 ))]]) ).

thf(49,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ sk1
      | ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( event @ B @ mactual )
      | ~ ( chevy @ sk5 @ mactual )
      | ~ ( car @ sk5 @ mactual )
      | ~ ( dirty @ sk5 @ mactual )
      | ~ ( old @ sk5 @ mactual )
      | ~ ( street @ C @ mactual )
      | ~ ( way @ C @ mactual )
      | ~ ( lonely @ C @ mactual )
      | ~ ( barrel @ B @ sk5 @ mactual )
      | ~ ( down @ B @ C @ mactual )
      | ~ ( in @ B @ A @ mactual ) ),
    inference(simp,[status(thm)],[48]) ).

thf(53,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ sk1
      | ~ sk1
      | ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( event @ B @ mactual )
      | ~ ( chevy @ sk5 @ mactual )
      | ~ ( car @ sk5 @ mactual )
      | ~ ( dirty @ sk5 @ mactual )
      | ~ ( old @ sk5 @ mactual )
      | ~ ( street @ C @ mactual )
      | ~ ( way @ C @ mactual )
      | ~ $true
      | ~ ( barrel @ B @ sk5 @ mactual )
      | ~ ( down @ B @ C @ mactual )
      | ~ ( in @ B @ A @ mactual )
      | ( ( lonely @ sk4 @ mactual )
       != ( lonely @ C @ mactual ) ) ),
    inference(paramod_ordered,[status(thm)],[9,49]) ).

thf(54,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ sk1
      | ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( event @ B @ mactual )
      | ~ ( chevy @ sk5 @ mactual )
      | ~ ( car @ sk5 @ mactual )
      | ~ ( dirty @ sk5 @ mactual )
      | ~ ( old @ sk5 @ mactual )
      | ~ ( street @ C @ mactual )
      | ~ ( way @ C @ mactual )
      | ~ ( barrel @ B @ sk5 @ mactual )
      | ~ ( down @ B @ C @ mactual )
      | ~ ( in @ B @ A @ mactual )
      | ( ( lonely @ sk4 @ mactual )
       != ( lonely @ C @ mactual ) ) ),
    inference(simp,[status(thm)],[53]) ).

thf(55,plain,
    ! [B: $i,A: $i] :
      ( ~ sk1
      | ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( event @ B @ mactual )
      | ~ ( chevy @ sk5 @ mactual )
      | ~ ( car @ sk5 @ mactual )
      | ~ ( dirty @ sk5 @ mactual )
      | ~ ( old @ sk5 @ mactual )
      | ~ ( street @ sk4 @ mactual )
      | ~ ( way @ sk4 @ mactual )
      | ~ ( barrel @ B @ sk5 @ mactual )
      | ~ ( down @ B @ sk4 @ mactual )
      | ~ ( in @ B @ A @ mactual ) ),
    inference(pattern_uni,[status(thm)],[54:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk4 ))]]) ).

thf(126,plain,
    ! [B: $i,A: $i] :
      ( ~ sk1
      | ~ sk1
      | ~ ( hollywood @ A @ mactual )
      | ~ $true
      | ~ ( event @ B @ mactual )
      | ~ ( chevy @ sk5 @ mactual )
      | ~ ( car @ sk5 @ mactual )
      | ~ ( dirty @ sk5 @ mactual )
      | ~ ( old @ sk5 @ mactual )
      | ~ ( street @ sk4 @ mactual )
      | ~ ( way @ sk4 @ mactual )
      | ~ ( barrel @ B @ sk5 @ mactual )
      | ~ ( down @ B @ sk4 @ mactual )
      | ~ ( in @ B @ A @ mactual )
      | ( ( city @ sk2 @ mactual )
       != ( city @ A @ mactual ) ) ),
    inference(paramod_ordered,[status(thm)],[12,55]) ).

thf(127,plain,
    ! [B: $i,A: $i] :
      ( ~ sk1
      | ~ ( hollywood @ A @ mactual )
      | ~ ( event @ B @ mactual )
      | ~ ( chevy @ sk5 @ mactual )
      | ~ ( car @ sk5 @ mactual )
      | ~ ( dirty @ sk5 @ mactual )
      | ~ ( old @ sk5 @ mactual )
      | ~ ( street @ sk4 @ mactual )
      | ~ ( way @ sk4 @ mactual )
      | ~ ( barrel @ B @ sk5 @ mactual )
      | ~ ( down @ B @ sk4 @ mactual )
      | ~ ( in @ B @ A @ mactual )
      | ( ( city @ sk2 @ mactual )
       != ( city @ A @ mactual ) ) ),
    inference(simp,[status(thm)],[126]) ).

thf(128,plain,
    ! [A: $i] :
      ( ~ sk1
      | ~ ( hollywood @ sk2 @ mactual )
      | ~ ( event @ A @ mactual )
      | ~ ( chevy @ sk5 @ mactual )
      | ~ ( car @ sk5 @ mactual )
      | ~ ( dirty @ sk5 @ mactual )
      | ~ ( old @ sk5 @ mactual )
      | ~ ( street @ sk4 @ mactual )
      | ~ ( way @ sk4 @ mactual )
      | ~ ( barrel @ A @ sk5 @ mactual )
      | ~ ( down @ A @ sk4 @ mactual )
      | ~ ( in @ A @ sk2 @ mactual ) ),
    inference(pattern_uni,[status(thm)],[127:[bind(A,$thf( sk2 ))]]) ).

thf(129,plain,
    ! [A: $i] :
      ( ~ sk1
      | ~ ( hollywood @ sk2 @ mactual )
      | ~ ( event @ A @ mactual )
      | ~ ( chevy @ sk5 @ mactual )
      | ~ ( car @ sk5 @ mactual )
      | ~ ( dirty @ sk5 @ mactual )
      | ~ ( old @ sk5 @ mactual )
      | ~ ( street @ sk4 @ mactual )
      | ~ ( way @ sk4 @ mactual )
      | ~ ( barrel @ A @ sk5 @ mactual )
      | ~ ( down @ A @ sk4 @ mactual )
      | ~ ( in @ A @ sk2 @ mactual ) ),
    inference(simp,[status(thm)],[128]) ).

thf(139,plain,
    ! [A: $i] :
      ( ~ sk1
      | ~ sk1
      | ~ ( hollywood @ sk2 @ mactual )
      | ~ ( event @ A @ mactual )
      | ~ ( chevy @ sk5 @ mactual )
      | ~ ( car @ sk5 @ mactual )
      | ~ ( dirty @ sk5 @ mactual )
      | ~ $true
      | ~ ( street @ sk4 @ mactual )
      | ~ ( way @ sk4 @ mactual )
      | ~ ( barrel @ A @ sk5 @ mactual )
      | ~ ( down @ A @ sk4 @ mactual )
      | ~ ( in @ A @ sk2 @ mactual )
      | ( ( old @ sk5 @ mactual )
       != ( old @ sk5 @ mactual ) ) ),
    inference(paramod_ordered,[status(thm)],[11,129]) ).

thf(140,plain,
    ! [A: $i] :
      ( ~ sk1
      | ~ ( hollywood @ sk2 @ mactual )
      | ~ ( event @ A @ mactual )
      | ~ ( chevy @ sk5 @ mactual )
      | ~ ( car @ sk5 @ mactual )
      | ~ ( dirty @ sk5 @ mactual )
      | ~ ( street @ sk4 @ mactual )
      | ~ ( way @ sk4 @ mactual )
      | ~ ( barrel @ A @ sk5 @ mactual )
      | ~ ( down @ A @ sk4 @ mactual )
      | ~ ( in @ A @ sk2 @ mactual )
      | ( ( old @ sk5 @ mactual )
       != ( old @ sk5 @ mactual ) ) ),
    inference(simp,[status(thm)],[139]) ).

thf(141,plain,
    ! [A: $i] :
      ( ~ sk1
      | ~ ( hollywood @ sk2 @ mactual )
      | ~ ( event @ A @ mactual )
      | ~ ( chevy @ sk5 @ mactual )
      | ~ ( car @ sk5 @ mactual )
      | ~ ( dirty @ sk5 @ mactual )
      | ~ ( street @ sk4 @ mactual )
      | ~ ( way @ sk4 @ mactual )
      | ~ ( barrel @ A @ sk5 @ mactual )
      | ~ ( down @ A @ sk4 @ mactual )
      | ~ ( in @ A @ sk2 @ mactual ) ),
    inference(pattern_uni,[status(thm)],[140:[]]) ).

thf(234,plain,
    ! [A: $i] :
      ( ~ sk1
      | ~ sk1
      | ~ ( hollywood @ sk2 @ mactual )
      | ~ ( event @ A @ mactual )
      | ~ ( chevy @ sk5 @ mactual )
      | ~ $true
      | ~ ( dirty @ sk5 @ mactual )
      | ~ ( street @ sk4 @ mactual )
      | ~ ( way @ sk4 @ mactual )
      | ~ ( barrel @ A @ sk5 @ mactual )
      | ~ ( down @ A @ sk4 @ mactual )
      | ~ ( in @ A @ sk2 @ mactual )
      | ( ( car @ sk5 @ mactual )
       != ( car @ sk5 @ mactual ) ) ),
    inference(paramod_ordered,[status(thm)],[15,141]) ).

thf(235,plain,
    ! [A: $i] :
      ( ~ sk1
      | ~ ( hollywood @ sk2 @ mactual )
      | ~ ( event @ A @ mactual )
      | ~ ( chevy @ sk5 @ mactual )
      | ~ ( dirty @ sk5 @ mactual )
      | ~ ( street @ sk4 @ mactual )
      | ~ ( way @ sk4 @ mactual )
      | ~ ( barrel @ A @ sk5 @ mactual )
      | ~ ( down @ A @ sk4 @ mactual )
      | ~ ( in @ A @ sk2 @ mactual )
      | ( ( car @ sk5 @ mactual )
       != ( car @ sk5 @ mactual ) ) ),
    inference(simp,[status(thm)],[234]) ).

thf(236,plain,
    ! [A: $i] :
      ( ~ sk1
      | ~ ( hollywood @ sk2 @ mactual )
      | ~ ( event @ A @ mactual )
      | ~ ( chevy @ sk5 @ mactual )
      | ~ ( dirty @ sk5 @ mactual )
      | ~ ( street @ sk4 @ mactual )
      | ~ ( way @ sk4 @ mactual )
      | ~ ( barrel @ A @ sk5 @ mactual )
      | ~ ( down @ A @ sk4 @ mactual )
      | ~ ( in @ A @ sk2 @ mactual ) ),
    inference(pattern_uni,[status(thm)],[235:[]]) ).

thf(349,plain,
    ! [A: $i] :
      ( ~ sk1
      | ~ sk1
      | ~ ( hollywood @ sk2 @ mactual )
      | ~ ( event @ A @ mactual )
      | ~ ( chevy @ sk5 @ mactual )
      | ~ ( dirty @ sk5 @ mactual )
      | ~ ( street @ sk4 @ mactual )
      | ~ ( way @ sk4 @ mactual )
      | ~ $true
      | ~ ( down @ A @ sk4 @ mactual )
      | ~ ( in @ A @ sk2 @ mactual )
      | ( ( barrel @ sk3 @ sk5 @ mactual )
       != ( barrel @ A @ sk5 @ mactual ) ) ),
    inference(paramod_ordered,[status(thm)],[26,236]) ).

thf(350,plain,
    ! [A: $i] :
      ( ~ sk1
      | ~ ( hollywood @ sk2 @ mactual )
      | ~ ( event @ A @ mactual )
      | ~ ( chevy @ sk5 @ mactual )
      | ~ ( dirty @ sk5 @ mactual )
      | ~ ( street @ sk4 @ mactual )
      | ~ ( way @ sk4 @ mactual )
      | ~ ( down @ A @ sk4 @ mactual )
      | ~ ( in @ A @ sk2 @ mactual )
      | ( ( barrel @ sk3 @ sk5 @ mactual )
       != ( barrel @ A @ sk5 @ mactual ) ) ),
    inference(simp,[status(thm)],[349]) ).

thf(351,plain,
    ( ~ sk1
    | ~ ( hollywood @ sk2 @ mactual )
    | ~ ( event @ sk3 @ mactual )
    | ~ ( chevy @ sk5 @ mactual )
    | ~ ( dirty @ sk5 @ mactual )
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual )
    | ~ ( down @ sk3 @ sk4 @ mactual )
    | ~ ( in @ sk3 @ sk2 @ mactual ) ),
    inference(pattern_uni,[status(thm)],[350:[bind(A,$thf( sk3 ))]]) ).

thf(374,plain,
    ( ~ sk1
    | ~ sk1
    | ~ ( hollywood @ sk2 @ mactual )
    | ~ ( event @ sk3 @ mactual )
    | ~ ( chevy @ sk5 @ mactual )
    | ~ ( dirty @ sk5 @ mactual )
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual )
    | ~ $true
    | ~ ( in @ sk3 @ sk2 @ mactual )
    | ( ( down @ sk3 @ sk4 @ mactual )
     != ( down @ sk3 @ sk4 @ mactual ) ) ),
    inference(paramod_ordered,[status(thm)],[29,351]) ).

thf(375,plain,
    ( ~ sk1
    | ~ ( hollywood @ sk2 @ mactual )
    | ~ ( event @ sk3 @ mactual )
    | ~ ( chevy @ sk5 @ mactual )
    | ~ ( dirty @ sk5 @ mactual )
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual )
    | ~ ( in @ sk3 @ sk2 @ mactual )
    | ( ( down @ sk3 @ sk4 @ mactual )
     != ( down @ sk3 @ sk4 @ mactual ) ) ),
    inference(simp,[status(thm)],[374]) ).

thf(376,plain,
    ( ~ sk1
    | ~ ( hollywood @ sk2 @ mactual )
    | ~ ( event @ sk3 @ mactual )
    | ~ ( chevy @ sk5 @ mactual )
    | ~ ( dirty @ sk5 @ mactual )
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual )
    | ~ ( in @ sk3 @ sk2 @ mactual ) ),
    inference(pattern_uni,[status(thm)],[375:[]]) ).

thf(439,plain,
    ( ~ sk1
    | ~ sk1
    | ~ ( hollywood @ sk2 @ mactual )
    | ~ ( event @ sk3 @ mactual )
    | ~ ( chevy @ sk5 @ mactual )
    | ~ ( dirty @ sk5 @ mactual )
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual )
    | ~ $true
    | ( ( in @ sk3 @ sk2 @ mactual )
     != ( in @ sk3 @ sk2 @ mactual ) ) ),
    inference(paramod_ordered,[status(thm)],[35,376]) ).

thf(440,plain,
    ( ~ sk1
    | ~ ( hollywood @ sk2 @ mactual )
    | ~ ( event @ sk3 @ mactual )
    | ~ ( chevy @ sk5 @ mactual )
    | ~ ( dirty @ sk5 @ mactual )
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual )
    | ( ( in @ sk3 @ sk2 @ mactual )
     != ( in @ sk3 @ sk2 @ mactual ) ) ),
    inference(simp,[status(thm)],[439]) ).

thf(441,plain,
    ( ~ sk1
    | ~ ( hollywood @ sk2 @ mactual )
    | ~ ( event @ sk3 @ mactual )
    | ~ ( chevy @ sk5 @ mactual )
    | ~ ( dirty @ sk5 @ mactual )
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual ) ),
    inference(pattern_uni,[status(thm)],[440:[]]) ).

thf(460,plain,
    ( ~ sk1
    | ~ sk1
    | ~ ( hollywood @ sk2 @ mactual )
    | ~ ( event @ sk3 @ mactual )
    | ~ $true
    | ~ ( dirty @ sk5 @ mactual )
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual )
    | ( ( chevy @ sk5 @ mactual )
     != ( chevy @ sk5 @ mactual ) ) ),
    inference(paramod_ordered,[status(thm)],[25,441]) ).

thf(461,plain,
    ( ~ sk1
    | ~ ( hollywood @ sk2 @ mactual )
    | ~ ( event @ sk3 @ mactual )
    | ~ ( dirty @ sk5 @ mactual )
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual )
    | ( ( chevy @ sk5 @ mactual )
     != ( chevy @ sk5 @ mactual ) ) ),
    inference(simp,[status(thm)],[460]) ).

thf(462,plain,
    ( ~ sk1
    | ~ ( hollywood @ sk2 @ mactual )
    | ~ ( event @ sk3 @ mactual )
    | ~ ( dirty @ sk5 @ mactual )
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual ) ),
    inference(pattern_uni,[status(thm)],[461:[]]) ).

thf(490,plain,
    ( ~ sk1
    | ~ sk1
    | ~ ( hollywood @ sk2 @ mactual )
    | ~ $true
    | ~ ( dirty @ sk5 @ mactual )
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual )
    | ( ( event @ sk3 @ mactual )
     != ( event @ sk3 @ mactual ) ) ),
    inference(paramod_ordered,[status(thm)],[33,462]) ).

thf(491,plain,
    ( ~ sk1
    | ~ ( hollywood @ sk2 @ mactual )
    | ~ ( dirty @ sk5 @ mactual )
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual )
    | ( ( event @ sk3 @ mactual )
     != ( event @ sk3 @ mactual ) ) ),
    inference(simp,[status(thm)],[490]) ).

thf(492,plain,
    ( ~ sk1
    | ~ ( hollywood @ sk2 @ mactual )
    | ~ ( dirty @ sk5 @ mactual )
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual ) ),
    inference(pattern_uni,[status(thm)],[491:[]]) ).

thf(608,plain,
    ( ~ sk1
    | ~ sk1
    | ~ ( hollywood @ sk2 @ mactual )
    | ~ $true
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual )
    | ( ( dirty @ sk5 @ mactual )
     != ( dirty @ sk5 @ mactual ) ) ),
    inference(paramod_ordered,[status(thm)],[34,492]) ).

thf(609,plain,
    ( ~ sk1
    | ~ ( hollywood @ sk2 @ mactual )
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual )
    | ( ( dirty @ sk5 @ mactual )
     != ( dirty @ sk5 @ mactual ) ) ),
    inference(simp,[status(thm)],[608]) ).

thf(610,plain,
    ( ~ sk1
    | ~ ( hollywood @ sk2 @ mactual )
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual ) ),
    inference(pattern_uni,[status(thm)],[609:[]]) ).

thf(630,plain,
    ( ~ sk1
    | ~ sk1
    | ~ $true
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual )
    | ( ( hollywood @ sk2 @ mactual )
     != ( hollywood @ sk2 @ mactual ) ) ),
    inference(paramod_ordered,[status(thm)],[31,610]) ).

thf(631,plain,
    ( ~ sk1
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual )
    | ( ( hollywood @ sk2 @ mactual )
     != ( hollywood @ sk2 @ mactual ) ) ),
    inference(simp,[status(thm)],[630]) ).

thf(632,plain,
    ( ~ sk1
    | ~ ( street @ sk4 @ mactual )
    | ~ ( way @ sk4 @ mactual ) ),
    inference(pattern_uni,[status(thm)],[631:[]]) ).

thf(643,plain,
    ( ~ sk1
    | ~ sk1
    | ~ $true
    | ~ ( way @ sk4 @ mactual )
    | ( ( street @ sk4 @ mactual )
     != ( street @ sk4 @ mactual ) ) ),
    inference(paramod_ordered,[status(thm)],[36,632]) ).

thf(644,plain,
    ( ~ sk1
    | ~ ( way @ sk4 @ mactual )
    | ( ( street @ sk4 @ mactual )
     != ( street @ sk4 @ mactual ) ) ),
    inference(simp,[status(thm)],[643]) ).

thf(645,plain,
    ( ~ sk1
    | ~ ( way @ sk4 @ mactual ) ),
    inference(pattern_uni,[status(thm)],[644:[]]) ).

thf(651,plain,
    ( ~ sk1
    | ~ sk1
    | ~ $true
    | ( ( way @ sk4 @ mactual )
     != ( way @ sk4 @ mactual ) ) ),
    inference(paramod_ordered,[status(thm)],[19,645]) ).

thf(652,plain,
    ( ~ sk1
    | ( ( way @ sk4 @ mactual )
     != ( way @ sk4 @ mactual ) ) ),
    inference(simp,[status(thm)],[651]) ).

thf(653,plain,
    ~ sk1,
    inference(pattern_uni,[status(thm)],[652:[]]) ).

thf(664,plain,
    ( $false
    | ( in @ sk7 @ sk6 @ mactual ) ),
    inference(rewrite,[status(thm)],[23,653]) ).

thf(665,plain,
    in @ sk7 @ sk6 @ mactual,
    inference(simp,[status(thm)],[664]) ).

thf(17,plain,
    ( sk1
    | ( down @ sk7 @ sk9 @ mactual ) ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(678,plain,
    ( $false
    | ( down @ sk7 @ sk9 @ mactual ) ),
    inference(rewrite,[status(thm)],[17,653]) ).

thf(679,plain,
    down @ sk7 @ sk9 @ mactual,
    inference(simp,[status(thm)],[678]) ).

thf(21,plain,
    ( sk1
    | ( barrel @ sk7 @ sk8 @ mactual ) ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(20,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( sk1
      | ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( event @ B @ mactual )
      | ~ ( street @ C @ mactual )
      | ~ ( way @ C @ mactual )
      | ~ ( lonely @ C @ mactual )
      | ~ ( chevy @ D @ mactual )
      | ~ ( car @ D @ mactual )
      | ~ ( white @ D @ mactual )
      | ~ ( dirty @ D @ mactual )
      | ~ ( old @ D @ mactual )
      | ~ ( barrel @ B @ D @ mactual )
      | ~ ( down @ B @ C @ mactual )
      | ~ ( in @ B @ A @ mactual ) ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(37,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( sk1
      | ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( event @ B @ mactual )
      | ~ ( street @ C @ mactual )
      | ~ ( way @ C @ mactual )
      | ~ ( lonely @ C @ mactual )
      | ~ ( chevy @ D @ mactual )
      | ~ ( car @ D @ mactual )
      | ~ ( white @ D @ mactual )
      | ~ ( dirty @ D @ mactual )
      | ~ ( old @ D @ mactual )
      | ~ ( barrel @ B @ D @ mactual )
      | ~ ( down @ B @ C @ mactual )
      | ~ ( in @ B @ A @ mactual ) ),
    inference(simp,[status(thm)],[20]) ).

thf(547,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( sk1
      | sk1
      | ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( event @ B @ mactual )
      | ~ ( street @ C @ mactual )
      | ~ ( way @ C @ mactual )
      | ~ ( lonely @ C @ mactual )
      | ~ ( chevy @ D @ mactual )
      | ~ ( car @ D @ mactual )
      | ~ ( white @ D @ mactual )
      | ~ ( dirty @ D @ mactual )
      | ~ ( old @ D @ mactual )
      | ~ $true
      | ~ ( down @ B @ C @ mactual )
      | ~ ( in @ B @ A @ mactual )
      | ( ( barrel @ sk7 @ sk8 @ mactual )
       != ( barrel @ B @ D @ mactual ) ) ),
    inference(paramod_ordered,[status(thm)],[21,37]) ).

thf(548,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( sk1
      | ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( event @ B @ mactual )
      | ~ ( street @ C @ mactual )
      | ~ ( way @ C @ mactual )
      | ~ ( lonely @ C @ mactual )
      | ~ ( chevy @ D @ mactual )
      | ~ ( car @ D @ mactual )
      | ~ ( white @ D @ mactual )
      | ~ ( dirty @ D @ mactual )
      | ~ ( old @ D @ mactual )
      | ~ ( down @ B @ C @ mactual )
      | ~ ( in @ B @ A @ mactual )
      | ( ( barrel @ sk7 @ sk8 @ mactual )
       != ( barrel @ B @ D @ mactual ) ) ),
    inference(simp,[status(thm)],[547]) ).

thf(549,plain,
    ! [B: $i,A: $i] :
      ( sk1
      | ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( event @ sk7 @ mactual )
      | ~ ( street @ B @ mactual )
      | ~ ( way @ B @ mactual )
      | ~ ( lonely @ B @ mactual )
      | ~ ( chevy @ sk8 @ mactual )
      | ~ ( car @ sk8 @ mactual )
      | ~ ( white @ sk8 @ mactual )
      | ~ ( dirty @ sk8 @ mactual )
      | ~ ( old @ sk8 @ mactual )
      | ~ ( down @ sk7 @ B @ mactual )
      | ~ ( in @ sk7 @ A @ mactual ) ),
    inference(pattern_uni,[status(thm)],[548:[bind(A,$thf( A )),bind(B,$thf( sk7 )),bind(C,$thf( C )),bind(D,$thf( sk8 ))]]) ).

thf(598,plain,
    ! [B: $i,A: $i] :
      ( sk1
      | ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( event @ sk7 @ mactual )
      | ~ ( street @ B @ mactual )
      | ~ ( way @ B @ mactual )
      | ~ ( lonely @ B @ mactual )
      | ~ ( chevy @ sk8 @ mactual )
      | ~ ( car @ sk8 @ mactual )
      | ~ ( white @ sk8 @ mactual )
      | ~ ( dirty @ sk8 @ mactual )
      | ~ ( old @ sk8 @ mactual )
      | ~ ( down @ sk7 @ B @ mactual )
      | ~ ( in @ sk7 @ A @ mactual ) ),
    inference(simp,[status(thm)],[549]) ).

thf(14,plain,
    ( sk1
    | ( event @ sk7 @ mactual ) ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(656,plain,
    ( $false
    | ( event @ sk7 @ mactual ) ),
    inference(rewrite,[status(thm)],[14,653]) ).

thf(657,plain,
    event @ sk7 @ mactual,
    inference(simp,[status(thm)],[656]) ).

thf(28,plain,
    ( sk1
    | ( old @ sk8 @ mactual ) ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(672,plain,
    ( $false
    | ( old @ sk8 @ mactual ) ),
    inference(rewrite,[status(thm)],[28,653]) ).

thf(673,plain,
    old @ sk8 @ mactual,
    inference(simp,[status(thm)],[672]) ).

thf(18,plain,
    ( sk1
    | ( car @ sk8 @ mactual ) ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(660,plain,
    ( $false
    | ( car @ sk8 @ mactual ) ),
    inference(rewrite,[status(thm)],[18,653]) ).

thf(661,plain,
    car @ sk8 @ mactual,
    inference(simp,[status(thm)],[660]) ).

thf(22,plain,
    ( sk1
    | ( chevy @ sk8 @ mactual ) ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(680,plain,
    ( $false
    | ( chevy @ sk8 @ mactual ) ),
    inference(rewrite,[status(thm)],[22,653]) ).

thf(681,plain,
    chevy @ sk8 @ mactual,
    inference(simp,[status(thm)],[680]) ).

thf(30,plain,
    ( sk1
    | ( dirty @ sk8 @ mactual ) ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(666,plain,
    ( $false
    | ( dirty @ sk8 @ mactual ) ),
    inference(rewrite,[status(thm)],[30,653]) ).

thf(667,plain,
    dirty @ sk8 @ mactual,
    inference(simp,[status(thm)],[666]) ).

thf(27,plain,
    ( sk1
    | ( white @ sk8 @ mactual ) ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(682,plain,
    ( $false
    | ( white @ sk8 @ mactual ) ),
    inference(rewrite,[status(thm)],[27,653]) ).

thf(683,plain,
    white @ sk8 @ mactual,
    inference(simp,[status(thm)],[682]) ).

thf(691,plain,
    ! [B: $i,A: $i] :
      ( $false
      | ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ $true
      | ~ ( street @ B @ mactual )
      | ~ ( way @ B @ mactual )
      | ~ ( lonely @ B @ mactual )
      | ~ $true
      | ~ $true
      | ~ $true
      | ~ $true
      | ~ $true
      | ~ ( down @ sk7 @ B @ mactual )
      | ~ ( in @ sk7 @ A @ mactual ) ),
    inference(rewrite,[status(thm)],[598,657,673,661,681,667,683,653]) ).

thf(692,plain,
    ! [B: $i,A: $i] :
      ( ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( street @ B @ mactual )
      | ~ ( way @ B @ mactual )
      | ~ ( lonely @ B @ mactual )
      | ~ ( down @ sk7 @ B @ mactual )
      | ~ ( in @ sk7 @ A @ mactual ) ),
    inference(simp,[status(thm)],[691]) ).

thf(708,plain,
    ! [B: $i,A: $i] :
      ( ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( street @ B @ mactual )
      | ~ ( way @ B @ mactual )
      | ~ ( lonely @ B @ mactual )
      | ~ $true
      | ~ ( in @ sk7 @ A @ mactual )
      | ( ( down @ sk7 @ sk9 @ mactual )
       != ( down @ sk7 @ B @ mactual ) ) ),
    inference(paramod_ordered,[status(thm)],[679,692]) ).

thf(709,plain,
    ! [B: $i,A: $i] :
      ( ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( street @ B @ mactual )
      | ~ ( way @ B @ mactual )
      | ~ ( lonely @ B @ mactual )
      | ~ ( in @ sk7 @ A @ mactual )
      | ( ( down @ sk7 @ sk9 @ mactual )
       != ( down @ sk7 @ B @ mactual ) ) ),
    inference(simp,[status(thm)],[708]) ).

thf(710,plain,
    ! [A: $i] :
      ( ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( street @ sk9 @ mactual )
      | ~ ( way @ sk9 @ mactual )
      | ~ ( lonely @ sk9 @ mactual )
      | ~ ( in @ sk7 @ A @ mactual ) ),
    inference(pattern_uni,[status(thm)],[709:[bind(A,$thf( A )),bind(B,$thf( sk9 ))]]) ).

thf(13,plain,
    ( sk1
    | ( lonely @ sk9 @ mactual ) ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(658,plain,
    ( $false
    | ( lonely @ sk9 @ mactual ) ),
    inference(rewrite,[status(thm)],[13,653]) ).

thf(659,plain,
    lonely @ sk9 @ mactual,
    inference(simp,[status(thm)],[658]) ).

thf(32,plain,
    ( sk1
    | ( way @ sk9 @ mactual ) ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(676,plain,
    ( $false
    | ( way @ sk9 @ mactual ) ),
    inference(rewrite,[status(thm)],[32,653]) ).

thf(677,plain,
    way @ sk9 @ mactual,
    inference(simp,[status(thm)],[676]) ).

thf(10,plain,
    ( sk1
    | ( street @ sk9 @ mactual ) ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(654,plain,
    ( $false
    | ( street @ sk9 @ mactual ) ),
    inference(rewrite,[status(thm)],[10,653]) ).

thf(655,plain,
    street @ sk9 @ mactual,
    inference(simp,[status(thm)],[654]) ).

thf(761,plain,
    ! [A: $i] :
      ( ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ $true
      | ~ $true
      | ~ $true
      | ~ ( in @ sk7 @ A @ mactual ) ),
    inference(rewrite,[status(thm)],[710,659,677,655]) ).

thf(762,plain,
    ! [A: $i] :
      ( ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ ( in @ sk7 @ A @ mactual ) ),
    inference(simp,[status(thm)],[761]) ).

thf(763,plain,
    ! [A: $i] :
      ( ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ~ $true
      | ( ( in @ sk7 @ sk6 @ mactual )
       != ( in @ sk7 @ A @ mactual ) ) ),
    inference(paramod_ordered,[status(thm)],[665,762]) ).

thf(764,plain,
    ! [A: $i] :
      ( ~ ( hollywood @ A @ mactual )
      | ~ ( city @ A @ mactual )
      | ( ( in @ sk7 @ sk6 @ mactual )
       != ( in @ sk7 @ A @ mactual ) ) ),
    inference(simp,[status(thm)],[763]) ).

thf(765,plain,
    ( ~ ( hollywood @ sk6 @ mactual )
    | ~ ( city @ sk6 @ mactual ) ),
    inference(pattern_uni,[status(thm)],[764:[bind(A,$thf( sk6 ))]]) ).

thf(16,plain,
    ( sk1
    | ( hollywood @ sk6 @ mactual ) ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(662,plain,
    ( $false
    | ( hollywood @ sk6 @ mactual ) ),
    inference(rewrite,[status(thm)],[16,653]) ).

thf(663,plain,
    hollywood @ sk6 @ mactual,
    inference(simp,[status(thm)],[662]) ).

thf(24,plain,
    ( sk1
    | ( city @ sk6 @ mactual ) ),
    inference(cnfConj,[status(thm)],[6]) ).

thf(668,plain,
    ( $false
    | ( city @ sk6 @ mactual ) ),
    inference(rewrite,[status(thm)],[24,653]) ).

thf(669,plain,
    city @ sk6 @ mactual,
    inference(simp,[status(thm)],[668]) ).

thf(772,plain,
    ( ~ $true
    | ~ $true ),
    inference(rewrite,[status(thm)],[765,663,669]) ).

thf(773,plain,
    $false,
    inference(simp,[status(thm)],[772]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : NLP001^3 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.06/0.12  % Computer : n012.cluster.edu
% 0.06/0.12  % Model    : x86_64 x86_64
% 0.06/0.12  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.12  % Memory   : 8046.5625MB
% 0.06/0.12  % OS       : Linux 6.8.0-71-generic
% 0.06/0.12  % CPULimit : 300
% 0.06/0.12  % WCLimit  : 300
% 0.06/0.12  % DateTime : Tue Sep 29 11:27:04 UTC 2026
% 0.06/0.13  % CPUTime  : 
% 0.06/0.13  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.53/0.44  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 0.71/0.56  % [INFO] 	 Parsing done (118ms). 
% 0.71/0.57  % [INFO] 	 Running in sequential loop mode. 
% 1.10/0.77  % [INFO] 	 eprover registered as external prover. 
% 1.10/0.78  % [INFO] 	 Scanning for conjecture ... 
% 1.29/0.86  % [INFO] 	 Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ... 
% 1.29/0.89  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 1.29/0.89  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.54/0.90  % [INFO] 	 Type checking passed. 
% 1.54/0.90  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 6.43/2.23  % [INFO] 	 Killing All external provers ... 
% 6.43/2.23  % Time passed: 2012ms (effective reasoning time: 1653ms)
% 6.43/2.23  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 6.43/2.23  % Axioms used in derivation (0): 
% 6.43/2.23  % No. of inferences in proof: 122
% 6.43/2.23  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2012 ms resp. 1653 ms w/o parsing
% 6.96/2.32  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.96/2.32  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------